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Research Article Morphometry Governs the Dynamics of a Drainage Basin: Analysis and Implications Atrayee Biswas, 1 Dipanjan Das Majumdar, 2 and Sayandeep Banerjee 3 1 Department of Geography, University of Calcutta, 35 B. C. Road, Kolkata 700 019, India 2 Department of Remote Sensing and GIS, Vidyasagar University, Medinipur 721 102, India 3 Department of Geology, St. Xavier’s College (Autonomous), 5 Mahapalika Marg, Mumbai 400001, India Correspondence should be addressed to Atrayee Biswas; [email protected] Received 11 February 2014; Accepted 13 March 2014; Published 7 May 2014 Academic Editor: Biswajeet Pradhan Copyright © 2014 Atrayee Biswas et al. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Mountainous rivers are the most significant source of water supply in the Himalayan provinces of India. e drainage basin dynamics of these rivers are controlled by the tectonomorphic parameters, which include both surface and subsurface characteristics of a basin. To understand the drainage basin dynamics and their usefulness in watershed prioritisation and management in terms of soil erosion studies and groundwater potential assessment and flood hazard risk reduction in mountainous rivers, morphometric analysis of a Himalayan River (Supin River) basin has been taken as a case study. e entire Supin River basin has been subdivided into 27 subwatersheds and 36 morphometric parameters have been calculated under four broad categories: drainage network, basin geometry, drainage texture, and relief characteristics, each of which is further grouped into five different clusters having similar morphometric properties. e various morphometric parameters have been correlated with each other to understand their underlying relationship and control over the basin hydrogeomorphology. e result thus generated provides adequate knowledge base required for decision making during strategic planning and delineation of prioritised hazard management zones in mountainous terrains. 1. Introduction Morphometry is the measurement and mathematical analysis of the configuration of the earth’s surface and of the shape and dimension of its landforms [1]. e form and structure of drainage basins and their associated drainage networks are described by their morphometric parameters. Morphometric properties of a drainage basin are quantitative attributes of the landscape that are derived from the terrain or elevation surface and drainage network within a drainage basin. Appli- cation of quantitative techniques in morphometric analysis of drainage basins was initially undertaken by Horton et al. [28] from topographic maps using manual methods. Remote sensing and Geographical Information System (GIS) techniques are increasingly being used for morpho- metric analysis of drainage basins throughout the world [913]. Quantitative techniques have been applied to study the morphometric properties of different drainage basins in India [1423]. Several authors have studied morphometric proper- ties of drainage basins as indicators of structural influence on drainage development and neotectonic activity [2427]. In many studies morphometric analysis has been used to assess the groundwater potentiality of the basins and to locate suitable sites for construction of check dams and artificial recharge structures [2832]. Watershed prioritisation based on morphometric characteristics has also been carried out and aids in the mapping of high flood potential and erosion prone zones [3337]. Present study bridges the connection between surface morphometry and subsurface geology of a drainage basin to produce effective information as a part of basin management. So the objective of the present research is to study the mor- phometric parameters of Supin River basin and to identify the influence of the underlying geology on the morphometric parameters of the basin and finally to generate a substantial knowledge base regarding the relationship between surface Hindawi Publishing Corporation Geography Journal Volume 2014, Article ID 927176, 14 pages http://dx.doi.org/10.1155/2014/927176
15

Morphometry governs the dynamics of a drainage basin: analysis & implications

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Page 1: Morphometry governs the dynamics of a drainage basin: analysis & implications

Research ArticleMorphometry Governs the Dynamics ofa Drainage Basin Analysis and Implications

Atrayee Biswas1 Dipanjan Das Majumdar2 and Sayandeep Banerjee3

1 Department of Geography University of Calcutta 35 B C Road Kolkata 700 019 India2Department of Remote Sensing and GIS Vidyasagar University Medinipur 721 102 India3 Department of Geology St Xavierrsquos College (Autonomous) 5 Mahapalika Marg Mumbai 400001 India

Correspondence should be addressed to Atrayee Biswas adpbiswasgmailcom

Received 11 February 2014 Accepted 13 March 2014 Published 7 May 2014

Academic Editor Biswajeet Pradhan

Copyright copy 2014 Atrayee Biswas et alThis is an open access article distributed under the Creative Commons Attribution Licensewhich permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited

Mountainous rivers are the most significant source of water supply in the Himalayan provinces of India The drainagebasin dynamics of these rivers are controlled by the tectonomorphic parameters which include both surface and subsurfacecharacteristics of a basin To understand the drainage basin dynamics and their usefulness in watershed prioritisation andmanagement in terms of soil erosion studies and groundwater potential assessment and flood hazard risk reduction inmountainousrivers morphometric analysis of a Himalayan River (Supin River) basin has been taken as a case studyThe entire Supin River basinhas been subdivided into 27 subwatersheds and 36 morphometric parameters have been calculated under four broad categoriesdrainage network basin geometry drainage texture and relief characteristics each of which is further grouped into five differentclusters having similar morphometric properties The various morphometric parameters have been correlated with each otherto understand their underlying relationship and control over the basin hydrogeomorphology The result thus generated providesadequate knowledge base required for decisionmaking during strategic planning and delineation of prioritised hazardmanagementzones in mountainous terrains

1 Introduction

Morphometry is themeasurement andmathematical analysisof the configuration of the earthrsquos surface and of the shapeand dimension of its landforms [1] The form and structureof drainage basins and their associated drainage networks aredescribed by their morphometric parameters Morphometricproperties of a drainage basin are quantitative attributes ofthe landscape that are derived from the terrain or elevationsurface and drainage network within a drainage basin Appli-cation of quantitative techniques in morphometric analysisof drainage basins was initially undertaken by Horton et al[2ndash8] from topographic maps using manual methods

Remote sensing and Geographical Information System(GIS) techniques are increasingly being used for morpho-metric analysis of drainage basins throughout the world [9ndash13] Quantitative techniques have been applied to study themorphometric properties of different drainage basins in India

[14ndash23] Several authors have studied morphometric proper-ties of drainage basins as indicators of structural influenceon drainage development and neotectonic activity [24ndash27]In many studies morphometric analysis has been used toassess the groundwater potentiality of the basins and to locatesuitable sites for construction of check dams and artificialrecharge structures [28ndash32] Watershed prioritisation basedon morphometric characteristics has also been carried outand aids in the mapping of high flood potential and erosionprone zones [33ndash37]

Present study bridges the connection between surfacemorphometry and subsurface geology of a drainage basin toproduce effective information as a part of basinmanagementSo the objective of the present research is to study the mor-phometric parameters of Supin River basin and to identifythe influence of the underlying geology on themorphometricparameters of the basin and finally to generate a substantialknowledge base regarding the relationship between surface

Hindawi Publishing CorporationGeography JournalVolume 2014 Article ID 927176 14 pageshttpdxdoiorg1011552014927176

2 Geography Journal

morphometry and subsurface lithology for integrated basinmanagement

2 Drainage Basin Setup

The Supin River basin is located in Uttarkashi district ofUttarakhand (Figure 1) and situated between 78∘101015840ndash78∘381015840Eand 31∘001015840ndash31∘041015840N The tributaries of Supin River suchas Har Ki Dun Gad Borasu Gad and Ruinsara Gad arefed by Jamdar glacier (Figure 2(a)) The basin covers anarea of 56541 km2 and has a perimeter of 19047 km Thestudy area has three climatic zones subtropical (1500ndash1700m) temperate (1700ndash3500m) and alpine (gt3500m)The region receives heavy snowfall between November andMarch The rainfall varies from 1000 to 1500mm annually

In Garhwal Himalaya one of the major NW-SE trendingthrusts is the Main Central Thrust (MCT) The MCT sep-arates the Greater Himalayan Sequence (GHS) from LesserHimalayan Sequence (LHS) [38] The Main Central Thrust(MCT) separates the basin into two halves on its hanging wall(MCT sheet) and footwall sides which represent the RamgarhThrust (RT) Sheet [39ndash44] (Figure 2(b))TheMunsiariThrust(MT) separates the Wangtu gneiss and Rampur group ofthe Lesser Himalayan Sequence (LHS) within the RT Sheet[45] (Figure 2(b)) The basin is underlain by rocks belongingto three main geological formations Martoli Vaikrita andGarhwal The upstream portion of the Supin basin which ismainly drained by its three major tributaries namely HarKi Dun Gad Borasu Gad and Ruinsara Gad is underlainby granite-gneisses and two mica schists belonging to theMCT sheet The middle portion of the basin is underlainby rocks consisting of Greater Himalayan Gneisses (Augengneisses and porphyritic granites) and phyllites quartzitesand biotite grade schists separated by the Munsiari Thrust(MT) whereas near the mouth of the basin it consists ofleucogranite (Figure 2(c)) [46ndash48]The presence ofMCT andMT fault zones across the drainage network of the SupinRiverbasin influences the drainage and relief characteristics of theSupin River

3 Methodology

Theextraction of drainage network has been done from Shut-tle Radar Topographic Mission (SRTM) Digital ElevationModel (DEM) (90m) data using TNTmips software envi-ronment The generation of depressionless DEM is alwaysthe preparatory step for morphometric analysis of drainagebasinDepressions are data errors or result from the averaginginvolved in assigning elevation values to cells (pixels) of finitearea These spurious depressions interfere with the correctrouting of flowpaths during thewatershed analysis especiallyin areas of low relief The Watershed process solves thisproblem by first locating and filling the depressions Thisdepressionless DEM is used to compute the flow directionand flow accumulation raster Further simulation of these tworaster produces the standard flow paths and subwatersheds

The Supin River basin has been classified into 27 sub-watersheds Only those watersheds have been considered for

this study which includes streams of at least three differentorders Thereafter 36 morphometric parameters (Table 1)have been computed for the entire Supin basin as well asfor each of the subwatershedsThemorphometric parametershave been evaluated from four different aspectsmdashdrainagenetwork basin geometry drainage texture and relief Thedifferent parameters were then correlated to understand howthey interact with and influence each other The reliabilityof the correlation of determination has been tested with thehelp of Studentsrsquo t-test and calculated 119875 values Hierarchicalcluster analysis (Euclidean distance) has been used as themeasure of association which enables the grouping of thesubwatersheds into five major categories according to thefourmorphometric aspects Hypsometric curve for the entireSupinRiver basin has been computed alongwith hypsometricintegral (HI) values for all the subwatersheds

4 Results and Discussion

The Supin River having a length of 4008 km drains anarea of 1768 km2 (Table 2) The two major thrusts that isMCT and MT cross the upstream and downstream sectionsof the basin respectively The MCT crosses the basin innorthwest-southeast direction with subwatersheds like WS3WS15 WS16 and WS17 lying on its hanging wall and WS18and WS19 lying on its footwall The MT crosses the basin inan east-west direction and WS6 WS8 WS20 WS21 WS26and WS27 are along the hanging wall of MT whereas WS2WS22 WS23 WS24 andWS27 are along the footwall of MTIn case ofWS4WS5 andWS7 the northern boundary of thesubwatershed nearly coincides with MCT and the southernboundary nearly coincides with MT (Figure 2) The major5th order tributary (Ruinsara Gad) of the Supin River followsthe trend of MCT in the SE part of the drainage basinMoreover a fewother 4th and 5th order tributaries also followthe trend of MCT and MT fault zones These fault zonesare usually zones of weak fractured and brecciated zoneswhich are easily incised by streams Along the stream profileof the Supin River at a few places sudden change in slope(sim15∘) of the stream has been marked as knick points (119870)which are controlled by the dip of MCT and MT fault zones(Figure 2(c))

In the following section the various morphometricparameters have been discussed with regard to the derivedcluster groups (Figure 3)

41 Drainage Network Segmentation and hierarchical order-ing of streams is necessary to address the hydrodynamiccharacter of a drainage basin Stream ordering has beendone for Supin River basin following the hierarchical rankingproposed by Strahler [6] Two 5th order streams of Har KiDun Gad and Ruinsara Gad combine to form Supin the6th order stream in the basin (Figure 2(a)) The total streamlength of Supin basin is 1439204 km (Table 1) of which the 1stand 2nd order streams constitute 8705 The stream lengthratio (119871

119906119903) varies from 105 to 206 and is high for 3rd and 5th

order streams in the Supin basin (Table 2) With increasingstream order there is a decrease in stream number (119873

119906)

Geography Journal 3

India

0 375 750 1500

(km)

70∘0998400E 80∘0998400E 90∘0998400E 100∘0998400E 110∘0998400E

70∘0998400E 80∘0998400E 90∘0998400E 100∘0998400E 110∘0998400E

10∘ 0

998400 N20

∘ 0998400 N

30∘ 0

998400 N

10∘ 0

998400 N20

∘ 0998400 N

30∘ 0

998400 N

(a)

Uttarakhand

0 45 90 180(km)

77∘20998400E 78∘40998400E 80∘0998400E 81∘20998400E

77∘20998400E 78∘40998400E 80∘0998400E 81∘20998400E

29∘ 0

998400N

30∘ 0

998400N

31∘ 0

998400 N

29∘ 0

998400N

30∘ 0

998400N

31∘ 0

998400 N

(b)

Uttarkashi

0 20 40 80

(km)

78∘0998400E 78∘40998400E 79∘20998400E

78∘0998400E 78∘40998400E 79∘20998400E

30∘ 3

0998400 N31

∘ 0998400 N

31∘ 3

0998400 N

30∘ 3

0998400 N31

∘ 0998400 N

31∘ 3

0998400 N

(c)

0 25 5 75 10

(km)78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 N

31∘ 1

4998400N

31∘ 1

0998400 N31

∘ 5998400 N

78∘37998400E

WS

WS

WS

WS

WS

WS

WS

WS

WS

WSWS

WS

WS

WSWS

WSWS

WS

WSWS

WS

WS

WS

WS

WS

WS

WS

(d)

Figure 1 Location map of Supin River basin having an area of 565406 km2 and a perimeter of 190466 km (a) Uttarakhand state in India(b) Uttarkashi district in Uttarakhand state (c) Supin River basin in Uttarkashi district (d) Subwatersheds (27) in Supin River basin

4 Geography Journal

0 25 5 75 10(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E31

∘ 14998400 6

998400998400N

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 0

998400 13998400998400

N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

1st order2nd order3rd order

4th order5th order6th order(Supin River)

(a)

MCT

MT

63531500

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 0

998400 13998400998400

N

0 25 5 7510(km)

31∘ 1

4998400 6998400998400

N

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 1

4998400 6998400998400

N

Heights (m)

(b)

0 10 20 30 400

1

2

3

4

5

Distance (km)

Elev

atio

n (k

m)

MCT

MT

Downstream Upstream

B

A

Kyanite-sillimanite-garnet bearing two mica schistAugen-gneiss and porphyritic granitesMylonitized quartz porphyry

K

K

K

78∘15998400E 78∘30998400E

(c)

Figure 2 (a) Stream orders of Supin River basin (ranked according to Strahler [6]) (b) Elevation map of Supin River basin showing faultboundariesmdashMain CentralThrust (MCT) across the upstream section andMunsiariThrust (MT) across the downstream section of the SupinRiver basin (c) A cross sectional profile along the Supin River showing the approximate disposition of lithology (adopted from Valdiya andKumar et al [46 47]) Knick points are marked as K

and a simultaneous increase in mean stream length (119871119906119903119898

)(Table 2) The RHO coefficient (120588) and bifurcation ratio (119877

119887)

values for Supin basin range from 062ndash210 (Table 1) and 2 to514 (Table 2) respectively

The variation of 119871119906119903between successive stream orders of

Supin River basin is due to the greater number of streamsbelonging to lower orders indicating that the basin is stillin its youthful stage of development (Table 2) High 119877

119887

values in subwatersheds belonging to C2 and C5 (Table 3)indicate structural control on the development of drainagenetwork The 120588 value signifies the storage capacity of a basinand determines the relationship between drainage densityand physiographic development of the basin Subwatersheds

belonging to C4 and C5 (Table 3 Figure 3(a)) having highvalues of 120588 are at a greater risk of being eroded by the excessdischarge during flood

42 Basin Geometry Basin shape is controlled by structurelithology relief and precipitation and varies from narrowelongated forms with irregular basin perimeter to circularor semicircular forms Circularity ratio (119877

119888) of Supin basin

ranges from 030 to 056 (Table 1) with high values in WS1WS4 WS8 WS9 WS12 WS17 WS21 WS23 and WS24and low values in WS7 WS10 WS11 WS16 and WS22(Figure 4(a)) High values of form ratio (119877

119891) and elongation

Geography Journal 5

Table 1 Morphometric parameters calculated for Supin River basin from four aspectsmdashdrainage network basin geometry drainage textureand relief characteristics

Sl No Morphometric parameters Formulae Reference Result (range)Drainage network

1 Stream order (119878119906

) Hierarchical rank [4] 1 to 62 Stream number (119873

119906

) 119873119906

= 1198731

+ 1198732

+ sdot sdot sdot + 119873119899

[3] 8783 Stream length (119871

119906

) km 119871119906

= 1198711

+ 1198712

+ sdot sdot sdot + 119871119899

[6] 1439204 Stream length Ratio (119871

119906119903

) 119871119906119903

= 119871119906

119871119906minus1

[6] 105ndash2065 Mean stream length ratio (119871

119906119903119898

) Σ119871119906119903

[3] 3186 Mean bifurcation ratio (119877

119887

) 119877119887

= 119873119906

119873119906+1

[6] 133ndash5337 Main channel length (119862

119897

) km 54528 Minimum aerial distance (119860

119889119898

) km 43769 Channel index (119862

119894

) 119862119894

= 119862119897

119860119889119898

[49] 12510 Rho coefficient (120588) 120588 = 119871

119906119903

119877119887

[3] 062ndash210Basin Geometry

11 Basin length (119871119887

) km [7] 441412 Basin area (119860) km2 [7] 5654113 Basin perimeter (119875) km [7] 1904714 Form ratio (119865

119891

) 119865119891

= 119860119871119887

2 [2] 004ndash07315 Elongation ratio (119877

119890

) 119877119890

= 2119871119887

lowast (119860120587)05 [7] 022ndash097

16 Texture ratio (119877119905

) 119877119905

= 1198731

119875 [7] 027ndash18817 Circularity ratio (119877

119888

) 119877119888

= 41205871198601198752 [49] 030ndash056

18 Drainage texture (119863119905

) 119863119905

= 119873119906

119875 [3] 044ndash25519 Compactness coefficient (119862

119888

) 119862119888

= 02841 lowast 11987511986005 [50] 134ndash184

20 Fitness ratio (119877119891

) 119877119891

= 119862119897

119875 [51] 19221 Wandering ratio (119877

119908

) 119877119908

= 119862119897

119871119887

[52] 60122 Watershed eccentricity (120591) 120591 = [(|119871 cm

2

minus119882cm2

|)]05

119882cm [53] 088Drainage texture analysis

23 Stream frequency (119865119904

) 119865119904

= 119873119906

119860 [2] 153ndash29024 Drainage density (119863

119889

) km kms2 119863119889

= 119871119906

119860 [2] 192ndash30625 Constant of channel maintenance (119862) (kms2km) 119862 = 1119863

119889

[7] 033ndash05226 Drainage intensity (119863

119894

) 119863119894

= 119865119904

119863119889

[54] 079ndash11127 Infiltration number (119868

119891

) 119868119891

= 119865119904

lowast 119863119889

[54] 294ndash86128 Length of overland flow (119871

119892

) km 119871119892

= 1198602 lowast 119871119906

[3] 016ndash026Relief characteristics

29 Height of basin mouth (119911) m 154330 Maximum height of the basin (119885) m 583931 Total basin relief (119867) m 119867 = 119885 minus 119911 [4] 429632 Relief ratio (119877

) 119877ℎ

= 119867119871119887

[7] 007ndash04433 Absolute relief (119877

119886

) m 583935 Ruggedness number (119877

119899

) 119877119899

= 119863119889

lowast (1198671000) [6] 302ndash64436 Dissection index (119863

119894119904

) 119863119894119904

= 119867119877119886

[55] 027ndash061

Table 2 Stream order-wise frequency distribution of number of streams along with their mean stream length drainage area and bifurcationratio

Stream order(119904119906

)Number ofstreams (119873

119906

)Mean stream

length (km) (119871119904119898

)Stream length ratio

(119871119906119903

)Drainage area

(km2)Bifurcation ratio

(119877119887

)1 677 285 349052 155 299 105 10029 4373 36 615 206 5032 4314 7 1160 189 1590 5145 2 2323 200 2246 3506 1 4008 173 1768 200

6 Geography Journal

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS1

2W

S14

WS4

WS6

WS8

WS2

6W

S24

WS1

0W

S3W

S9W

S15

WS1

9W

S20

WS1

1W

S2W

S13

WS1

7W

S16

WS2

7W

S23

WS5

WS2

1W

S7W

S18

WS2

5W

S22

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(a)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS9

WS2

0W

S2W

S6W

S4W

S8W

S24

WS2

6W

S17

WS1

8W

S23

WS2

5W

S3W

S15

WS1

9W

S5W

S21

WS7

WS1

0W

S14

WS1

1W

S12

WS1

3W

S16

WS2

2W

S27

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(b)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS8

WS1

0W

S19

WS6

WS2

3W

S17

WS2

4W

S27

WS1

8W

S2W

S20

WS4

WS2

1W

S7W

S16

WS9

WS1

3W

S25

WS1

5W

S3W

S5W

S11

WS2

2W

S12

WS2

6W

S14

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(c)

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS7

WS1

6W

S17

WS3

WS5

WS4

WS9

WS2

2W

S23

WS2

5W

S27

WS2

WS6

WS8

WS1

8W

S10

WS1

1W

S12

WS1

3W

S14

WS1

5W

S20

WS1

9W

S21

WS2

4W

S26

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(d)

Figure 3 Dendrogram showing groups having similar properties (a) related to drainage network (b) related to basin geometry (c) relatedto drainage texture analysis and (d) related to relief characteristics

ratio (119877119890) are found in WS3 WS5 WS17 WS19 WS21 WS23

and WS25 whereas low values are found in WS11 WS12WS13 WS14 and WS16 (Figures 4(b) and 4(c)) The relativespacing of channels in a drainage basin is expressed bytexture ratio (119877

119905) and drainage texture (119863

119905) The 119877

119905and 119863

119905

values of Supin basin range from 027 to 188 and 044 to255 respectively (Table 1) High values of 119863

119905are found in

subwatersheds located in the upper reaches of the basinwhereas low 119863

119905values are found in subwatersheds located

near the mouth of the basin (Figure 4(d))

119877119888bears a strong negative relationship with compactness

coefficient (119862119888) whereas 119865

119891has a positive relationship with

119877119890(Table 4) [28] Low values of 119877

119888(C4 and C5) (Table 3

Figure 3(b)) are associated with high relief and steep slopesand imply the youthful nature of these subwatersheds Thesubwatersheds belonging to C1 C2 and C3 (Figure 3(b))having high values of 119877

119888 119865119891 119877119890 119877119905 and 119863

119905and low values

of 119862119888are more circular in shape than those belonging to C4

and C5 (Table 3) Although the circular subwatersheds aremore efficient in the discharge of run-off [56] they are at

Geography Journal 7

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

030ndash035036ndash041042ndash047

048ndash053054ndash059

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

003ndash017018ndash032033ndash047

048ndash062063ndash076

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

020ndash035036ndash051052ndash067

068ndash083084ndash099

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

Very lowLowModerate

HighVery high

(d)

Figure 4 Map showing response of various basin geometry parameters in subwatersheds of Supin River basin (a) Circularity ratio (119877119888

) (b)Form ratio (119865

119891

) (c) Elongation ratio (119877119890

) (d) Drainage texture (119863119905

)

greater risk from flood hazard because they have a very shortlag time and high peak flows than the elongated basins [57]The elongated subwatersheds on the other hand have lowside flow for shorter duration and high main flow for longerduration and are less susceptible to flood hazard

43 Drainage Texture Analysis Texture indicates the amountof landscape dissection by a channel network and includesstream frequency (119865

119904) drainage density (119863

119889) constant of

channel maintenance (119862) length of overland flow (119871119892) and

infiltration number (119868119891) High values of 119865

119904and 119863

119889are found

in WS3 WS5 WS11 WS14 WS22 and WS25 whereas lowvalues of 119865

119904and 119863

119889are found in WS1 WS6 WS18 WS23

andWS27 (Figures 5(a) and 5(b))The119862 value of Supin basinvaries from 033 to 052 (Table 1)The 119871

119892value of Supin basin

ranges from 016 to 026 and 119868119891value ranges from 294 to 861

(Table 1) Low 119871119892values and high 119868

119891values are found inWS3

WS5 WS11 WS12 WS14 and WS22 (Figures 5(c) and 5(d))which have corresponding high 119865

119904and 119863

119889values (Figures

5(a) and 5(b))119865119904and119863

119889provide a numericalmeasurement of landscape

dissection and run-off potential [16] and bears a nega-tive relationship with 119871

119892and 119868

119891(Table 4) Subwatersheds

belonging to C3 C4 and C5 (Table 3 Figure 3(c)) withlow values of 119871

119892and 119862 have developed numerous drainage

lines on the surface The high values of 119865119904and 119863

119889in these

subwatershedsmaybe due to high relief steep slopes and alsolow permeability of the underlying rocks

44 Relief Characteristics The relief properties in morpho-metric analysis bring into consideration the influence ofaspect and height over a large basin area Relief ratio (119877

ℎ)

ruggedness number (119877119899) and dissection index (119863

119894119904) indicate

the erosion potential of the processes operating within a

8 Geography Journal

Table3

Detailedresultof

hierarchical

cluste

ranalysisforfour

morph

ometric

prop

ertie

sof

SupinRiverbasin

(drainagenetwork

basin

geom

etryd

rainagetextureanalysis

andrelief

characteris

tics)

Drainagen

etwork

ClusterID

Num

bero

fstre

am(119873119906

)To

talstre

amleng

th(K

m)

Meanstr

eam

leng

thratio

(119871119906119903119898

)Bifurcationratio

(119877119887

)Rh

ocoefficient(120588)

C13233

5425

298

294

107

C22400

3903

280

327

090

C36700

10514

291

270

108

C41250

1980

259

200

127

C52850

4877

449

335

136

Basin

geom

etry

ClusterID

Form

ratio

(119865119891

)Shapefactor

Elon

gatio

nratio

(119877119890

)Texturer

atio

(119877119905

)Circularity

ratio

(119877119888

)Drainagetexture

(119863119905

)Com

pactness

Coefficient(119862119888

)C1

035

312

066

099

047

128

147

C2057

179

085

061

047

079

147

C3056

187

084

136

042

183

157

C4007

1599

030

099

037

128

169

C5017

917

044

048

036

065

169

Drainagetexture

ClusterID

Stream

frequ

ency

(119865119904

)Drainaged

ensity(119863119889

)Con

stant

ofchannel

maintenance

(119862)

drainage

intensity

(119863119894

)Infiltrationnu

mber

(119868119891

)Leng

thof

overland

flow(119871119892

)C1

223

216

046

103

482

023

C218

9215

047

088

410

023

C3241

253

040

095

611

020

C4281

298

034

094

838

017

C5238

289

035

083

686

017

Reliefcharacteristics

ClusterID

Reliefratio

(119877ℎ

)Diss

ectio

nindex(119863119894119904

)Gradientratio

(119877119892

)Ru

ggednessnu

mber

(119877119899

)C1

026

047

024

495

C2035

043

042

353

C3029

030

041

351

C4010

032

011

452

C5029

044

017

561

Geography Journal 9

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

153ndash180181ndash208209ndash236

237ndash264265ndash292

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

78∘3799840022998400998400E

193ndash215216ndash239240ndash263

264ndash287288ndash311

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

016ndash018019ndash021022ndash024

025ndash027028ndash030

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

294ndash407408ndash521522ndash635

636ndash749750ndash863

(d)

Figure 5 Map showing response of various drainage texture parameters in subwatersheds of Supin River basin (a) Stream Frequency (119865119904

)(b) Drainage Density (119863

119889

) (c) Length of overland flow (119871119892

) (d) Infiltration Number (119868119891

)

drainage basin The total basin relief (Z-z) of Supin basin is4296m (Table 1) The 119877

ℎvalue of Supin basin ranges from

007ndash044 with high values in WS2 WS5 WS17 WS19 WS21WS23WS24WS25WS26 andWS27 and low values inWS1WS9WS10WS11WS12WS13 andWS14 (Figure 6(a))Highvalues of119877

119899and119863

119894119904are found inWS3WS4WS5WS7WS9

WS19 and WS20 which indicates the steepness of slope andhigh degree of dissection of these subwatersheds whereaslow values are found in WS10 WS11 WS12 WS13 and WS14(Figures 6(b) and 6(c)) 119877

ℎis related to the channel gradient

and has a negative relationship with basin length (Table 4)Subwatersheds having high values of 119863

119905(C3 in Figure 3(b))

also have high values of 119877119899(C1 and C5 in Figure 3(d)) since

119877119899has a positive correlation with119863

119905(Table 4)The low119863

119894119904of

Supin basin (027ndash061) indicates that the basin is moderatelydissected (Table 1)

45 Hypsometry Analysis Hypsometric curve of a drainagebasin represents the relative proportion of watershed areabelow or above a given elevation It is a measure of theerosional state or geomorphic age of a drainage basin as itrepresents the mass of drainage basin remaining above abasal plane of reference Convex hypsometric curves indicateyouthful stage S-shaped curves indicate a mature stageand concave curves indicate peneplain stage [5] Here thehypsometric curve has been treated as a cumulative proba-bility distribution and statistical moments have been used todescribe the curve quantitatively [58]The hypsometric curvehas been derived by fitting a 5th order polynomial functionwhich is as follows

119891 (119909) = 1198600+ 1198601lowast 119909 + 119860

2lowast 1199092

+ 1198603lowast 1199093

+ 1198604lowast 1199094

+ 1198605lowast 1199095

(1)

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

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Research and TreatmentAutism

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Economics Research International

Page 2: Morphometry governs the dynamics of a drainage basin: analysis & implications

2 Geography Journal

morphometry and subsurface lithology for integrated basinmanagement

2 Drainage Basin Setup

The Supin River basin is located in Uttarkashi district ofUttarakhand (Figure 1) and situated between 78∘101015840ndash78∘381015840Eand 31∘001015840ndash31∘041015840N The tributaries of Supin River suchas Har Ki Dun Gad Borasu Gad and Ruinsara Gad arefed by Jamdar glacier (Figure 2(a)) The basin covers anarea of 56541 km2 and has a perimeter of 19047 km Thestudy area has three climatic zones subtropical (1500ndash1700m) temperate (1700ndash3500m) and alpine (gt3500m)The region receives heavy snowfall between November andMarch The rainfall varies from 1000 to 1500mm annually

In Garhwal Himalaya one of the major NW-SE trendingthrusts is the Main Central Thrust (MCT) The MCT sep-arates the Greater Himalayan Sequence (GHS) from LesserHimalayan Sequence (LHS) [38] The Main Central Thrust(MCT) separates the basin into two halves on its hanging wall(MCT sheet) and footwall sides which represent the RamgarhThrust (RT) Sheet [39ndash44] (Figure 2(b))TheMunsiariThrust(MT) separates the Wangtu gneiss and Rampur group ofthe Lesser Himalayan Sequence (LHS) within the RT Sheet[45] (Figure 2(b)) The basin is underlain by rocks belongingto three main geological formations Martoli Vaikrita andGarhwal The upstream portion of the Supin basin which ismainly drained by its three major tributaries namely HarKi Dun Gad Borasu Gad and Ruinsara Gad is underlainby granite-gneisses and two mica schists belonging to theMCT sheet The middle portion of the basin is underlainby rocks consisting of Greater Himalayan Gneisses (Augengneisses and porphyritic granites) and phyllites quartzitesand biotite grade schists separated by the Munsiari Thrust(MT) whereas near the mouth of the basin it consists ofleucogranite (Figure 2(c)) [46ndash48]The presence ofMCT andMT fault zones across the drainage network of the SupinRiverbasin influences the drainage and relief characteristics of theSupin River

3 Methodology

Theextraction of drainage network has been done from Shut-tle Radar Topographic Mission (SRTM) Digital ElevationModel (DEM) (90m) data using TNTmips software envi-ronment The generation of depressionless DEM is alwaysthe preparatory step for morphometric analysis of drainagebasinDepressions are data errors or result from the averaginginvolved in assigning elevation values to cells (pixels) of finitearea These spurious depressions interfere with the correctrouting of flowpaths during thewatershed analysis especiallyin areas of low relief The Watershed process solves thisproblem by first locating and filling the depressions Thisdepressionless DEM is used to compute the flow directionand flow accumulation raster Further simulation of these tworaster produces the standard flow paths and subwatersheds

The Supin River basin has been classified into 27 sub-watersheds Only those watersheds have been considered for

this study which includes streams of at least three differentorders Thereafter 36 morphometric parameters (Table 1)have been computed for the entire Supin basin as well asfor each of the subwatershedsThemorphometric parametershave been evaluated from four different aspectsmdashdrainagenetwork basin geometry drainage texture and relief Thedifferent parameters were then correlated to understand howthey interact with and influence each other The reliabilityof the correlation of determination has been tested with thehelp of Studentsrsquo t-test and calculated 119875 values Hierarchicalcluster analysis (Euclidean distance) has been used as themeasure of association which enables the grouping of thesubwatersheds into five major categories according to thefourmorphometric aspects Hypsometric curve for the entireSupinRiver basin has been computed alongwith hypsometricintegral (HI) values for all the subwatersheds

4 Results and Discussion

The Supin River having a length of 4008 km drains anarea of 1768 km2 (Table 2) The two major thrusts that isMCT and MT cross the upstream and downstream sectionsof the basin respectively The MCT crosses the basin innorthwest-southeast direction with subwatersheds like WS3WS15 WS16 and WS17 lying on its hanging wall and WS18and WS19 lying on its footwall The MT crosses the basin inan east-west direction and WS6 WS8 WS20 WS21 WS26and WS27 are along the hanging wall of MT whereas WS2WS22 WS23 WS24 andWS27 are along the footwall of MTIn case ofWS4WS5 andWS7 the northern boundary of thesubwatershed nearly coincides with MCT and the southernboundary nearly coincides with MT (Figure 2) The major5th order tributary (Ruinsara Gad) of the Supin River followsthe trend of MCT in the SE part of the drainage basinMoreover a fewother 4th and 5th order tributaries also followthe trend of MCT and MT fault zones These fault zonesare usually zones of weak fractured and brecciated zoneswhich are easily incised by streams Along the stream profileof the Supin River at a few places sudden change in slope(sim15∘) of the stream has been marked as knick points (119870)which are controlled by the dip of MCT and MT fault zones(Figure 2(c))

In the following section the various morphometricparameters have been discussed with regard to the derivedcluster groups (Figure 3)

41 Drainage Network Segmentation and hierarchical order-ing of streams is necessary to address the hydrodynamiccharacter of a drainage basin Stream ordering has beendone for Supin River basin following the hierarchical rankingproposed by Strahler [6] Two 5th order streams of Har KiDun Gad and Ruinsara Gad combine to form Supin the6th order stream in the basin (Figure 2(a)) The total streamlength of Supin basin is 1439204 km (Table 1) of which the 1stand 2nd order streams constitute 8705 The stream lengthratio (119871

119906119903) varies from 105 to 206 and is high for 3rd and 5th

order streams in the Supin basin (Table 2) With increasingstream order there is a decrease in stream number (119873

119906)

Geography Journal 3

India

0 375 750 1500

(km)

70∘0998400E 80∘0998400E 90∘0998400E 100∘0998400E 110∘0998400E

70∘0998400E 80∘0998400E 90∘0998400E 100∘0998400E 110∘0998400E

10∘ 0

998400 N20

∘ 0998400 N

30∘ 0

998400 N

10∘ 0

998400 N20

∘ 0998400 N

30∘ 0

998400 N

(a)

Uttarakhand

0 45 90 180(km)

77∘20998400E 78∘40998400E 80∘0998400E 81∘20998400E

77∘20998400E 78∘40998400E 80∘0998400E 81∘20998400E

29∘ 0

998400N

30∘ 0

998400N

31∘ 0

998400 N

29∘ 0

998400N

30∘ 0

998400N

31∘ 0

998400 N

(b)

Uttarkashi

0 20 40 80

(km)

78∘0998400E 78∘40998400E 79∘20998400E

78∘0998400E 78∘40998400E 79∘20998400E

30∘ 3

0998400 N31

∘ 0998400 N

31∘ 3

0998400 N

30∘ 3

0998400 N31

∘ 0998400 N

31∘ 3

0998400 N

(c)

0 25 5 75 10

(km)78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 N

31∘ 1

4998400N

31∘ 1

0998400 N31

∘ 5998400 N

78∘37998400E

WS

WS

WS

WS

WS

WS

WS

WS

WS

WSWS

WS

WS

WSWS

WSWS

WS

WSWS

WS

WS

WS

WS

WS

WS

WS

(d)

Figure 1 Location map of Supin River basin having an area of 565406 km2 and a perimeter of 190466 km (a) Uttarakhand state in India(b) Uttarkashi district in Uttarakhand state (c) Supin River basin in Uttarkashi district (d) Subwatersheds (27) in Supin River basin

4 Geography Journal

0 25 5 75 10(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E31

∘ 14998400 6

998400998400N

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 0

998400 13998400998400

N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

1st order2nd order3rd order

4th order5th order6th order(Supin River)

(a)

MCT

MT

63531500

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 0

998400 13998400998400

N

0 25 5 7510(km)

31∘ 1

4998400 6998400998400

N

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 1

4998400 6998400998400

N

Heights (m)

(b)

0 10 20 30 400

1

2

3

4

5

Distance (km)

Elev

atio

n (k

m)

MCT

MT

Downstream Upstream

B

A

Kyanite-sillimanite-garnet bearing two mica schistAugen-gneiss and porphyritic granitesMylonitized quartz porphyry

K

K

K

78∘15998400E 78∘30998400E

(c)

Figure 2 (a) Stream orders of Supin River basin (ranked according to Strahler [6]) (b) Elevation map of Supin River basin showing faultboundariesmdashMain CentralThrust (MCT) across the upstream section andMunsiariThrust (MT) across the downstream section of the SupinRiver basin (c) A cross sectional profile along the Supin River showing the approximate disposition of lithology (adopted from Valdiya andKumar et al [46 47]) Knick points are marked as K

and a simultaneous increase in mean stream length (119871119906119903119898

)(Table 2) The RHO coefficient (120588) and bifurcation ratio (119877

119887)

values for Supin basin range from 062ndash210 (Table 1) and 2 to514 (Table 2) respectively

The variation of 119871119906119903between successive stream orders of

Supin River basin is due to the greater number of streamsbelonging to lower orders indicating that the basin is stillin its youthful stage of development (Table 2) High 119877

119887

values in subwatersheds belonging to C2 and C5 (Table 3)indicate structural control on the development of drainagenetwork The 120588 value signifies the storage capacity of a basinand determines the relationship between drainage densityand physiographic development of the basin Subwatersheds

belonging to C4 and C5 (Table 3 Figure 3(a)) having highvalues of 120588 are at a greater risk of being eroded by the excessdischarge during flood

42 Basin Geometry Basin shape is controlled by structurelithology relief and precipitation and varies from narrowelongated forms with irregular basin perimeter to circularor semicircular forms Circularity ratio (119877

119888) of Supin basin

ranges from 030 to 056 (Table 1) with high values in WS1WS4 WS8 WS9 WS12 WS17 WS21 WS23 and WS24and low values in WS7 WS10 WS11 WS16 and WS22(Figure 4(a)) High values of form ratio (119877

119891) and elongation

Geography Journal 5

Table 1 Morphometric parameters calculated for Supin River basin from four aspectsmdashdrainage network basin geometry drainage textureand relief characteristics

Sl No Morphometric parameters Formulae Reference Result (range)Drainage network

1 Stream order (119878119906

) Hierarchical rank [4] 1 to 62 Stream number (119873

119906

) 119873119906

= 1198731

+ 1198732

+ sdot sdot sdot + 119873119899

[3] 8783 Stream length (119871

119906

) km 119871119906

= 1198711

+ 1198712

+ sdot sdot sdot + 119871119899

[6] 1439204 Stream length Ratio (119871

119906119903

) 119871119906119903

= 119871119906

119871119906minus1

[6] 105ndash2065 Mean stream length ratio (119871

119906119903119898

) Σ119871119906119903

[3] 3186 Mean bifurcation ratio (119877

119887

) 119877119887

= 119873119906

119873119906+1

[6] 133ndash5337 Main channel length (119862

119897

) km 54528 Minimum aerial distance (119860

119889119898

) km 43769 Channel index (119862

119894

) 119862119894

= 119862119897

119860119889119898

[49] 12510 Rho coefficient (120588) 120588 = 119871

119906119903

119877119887

[3] 062ndash210Basin Geometry

11 Basin length (119871119887

) km [7] 441412 Basin area (119860) km2 [7] 5654113 Basin perimeter (119875) km [7] 1904714 Form ratio (119865

119891

) 119865119891

= 119860119871119887

2 [2] 004ndash07315 Elongation ratio (119877

119890

) 119877119890

= 2119871119887

lowast (119860120587)05 [7] 022ndash097

16 Texture ratio (119877119905

) 119877119905

= 1198731

119875 [7] 027ndash18817 Circularity ratio (119877

119888

) 119877119888

= 41205871198601198752 [49] 030ndash056

18 Drainage texture (119863119905

) 119863119905

= 119873119906

119875 [3] 044ndash25519 Compactness coefficient (119862

119888

) 119862119888

= 02841 lowast 11987511986005 [50] 134ndash184

20 Fitness ratio (119877119891

) 119877119891

= 119862119897

119875 [51] 19221 Wandering ratio (119877

119908

) 119877119908

= 119862119897

119871119887

[52] 60122 Watershed eccentricity (120591) 120591 = [(|119871 cm

2

minus119882cm2

|)]05

119882cm [53] 088Drainage texture analysis

23 Stream frequency (119865119904

) 119865119904

= 119873119906

119860 [2] 153ndash29024 Drainage density (119863

119889

) km kms2 119863119889

= 119871119906

119860 [2] 192ndash30625 Constant of channel maintenance (119862) (kms2km) 119862 = 1119863

119889

[7] 033ndash05226 Drainage intensity (119863

119894

) 119863119894

= 119865119904

119863119889

[54] 079ndash11127 Infiltration number (119868

119891

) 119868119891

= 119865119904

lowast 119863119889

[54] 294ndash86128 Length of overland flow (119871

119892

) km 119871119892

= 1198602 lowast 119871119906

[3] 016ndash026Relief characteristics

29 Height of basin mouth (119911) m 154330 Maximum height of the basin (119885) m 583931 Total basin relief (119867) m 119867 = 119885 minus 119911 [4] 429632 Relief ratio (119877

) 119877ℎ

= 119867119871119887

[7] 007ndash04433 Absolute relief (119877

119886

) m 583935 Ruggedness number (119877

119899

) 119877119899

= 119863119889

lowast (1198671000) [6] 302ndash64436 Dissection index (119863

119894119904

) 119863119894119904

= 119867119877119886

[55] 027ndash061

Table 2 Stream order-wise frequency distribution of number of streams along with their mean stream length drainage area and bifurcationratio

Stream order(119904119906

)Number ofstreams (119873

119906

)Mean stream

length (km) (119871119904119898

)Stream length ratio

(119871119906119903

)Drainage area

(km2)Bifurcation ratio

(119877119887

)1 677 285 349052 155 299 105 10029 4373 36 615 206 5032 4314 7 1160 189 1590 5145 2 2323 200 2246 3506 1 4008 173 1768 200

6 Geography Journal

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS1

2W

S14

WS4

WS6

WS8

WS2

6W

S24

WS1

0W

S3W

S9W

S15

WS1

9W

S20

WS1

1W

S2W

S13

WS1

7W

S16

WS2

7W

S23

WS5

WS2

1W

S7W

S18

WS2

5W

S22

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(a)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS9

WS2

0W

S2W

S6W

S4W

S8W

S24

WS2

6W

S17

WS1

8W

S23

WS2

5W

S3W

S15

WS1

9W

S5W

S21

WS7

WS1

0W

S14

WS1

1W

S12

WS1

3W

S16

WS2

2W

S27

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(b)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS8

WS1

0W

S19

WS6

WS2

3W

S17

WS2

4W

S27

WS1

8W

S2W

S20

WS4

WS2

1W

S7W

S16

WS9

WS1

3W

S25

WS1

5W

S3W

S5W

S11

WS2

2W

S12

WS2

6W

S14

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(c)

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS7

WS1

6W

S17

WS3

WS5

WS4

WS9

WS2

2W

S23

WS2

5W

S27

WS2

WS6

WS8

WS1

8W

S10

WS1

1W

S12

WS1

3W

S14

WS1

5W

S20

WS1

9W

S21

WS2

4W

S26

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(d)

Figure 3 Dendrogram showing groups having similar properties (a) related to drainage network (b) related to basin geometry (c) relatedto drainage texture analysis and (d) related to relief characteristics

ratio (119877119890) are found in WS3 WS5 WS17 WS19 WS21 WS23

and WS25 whereas low values are found in WS11 WS12WS13 WS14 and WS16 (Figures 4(b) and 4(c)) The relativespacing of channels in a drainage basin is expressed bytexture ratio (119877

119905) and drainage texture (119863

119905) The 119877

119905and 119863

119905

values of Supin basin range from 027 to 188 and 044 to255 respectively (Table 1) High values of 119863

119905are found in

subwatersheds located in the upper reaches of the basinwhereas low 119863

119905values are found in subwatersheds located

near the mouth of the basin (Figure 4(d))

119877119888bears a strong negative relationship with compactness

coefficient (119862119888) whereas 119865

119891has a positive relationship with

119877119890(Table 4) [28] Low values of 119877

119888(C4 and C5) (Table 3

Figure 3(b)) are associated with high relief and steep slopesand imply the youthful nature of these subwatersheds Thesubwatersheds belonging to C1 C2 and C3 (Figure 3(b))having high values of 119877

119888 119865119891 119877119890 119877119905 and 119863

119905and low values

of 119862119888are more circular in shape than those belonging to C4

and C5 (Table 3) Although the circular subwatersheds aremore efficient in the discharge of run-off [56] they are at

Geography Journal 7

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

030ndash035036ndash041042ndash047

048ndash053054ndash059

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

003ndash017018ndash032033ndash047

048ndash062063ndash076

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

020ndash035036ndash051052ndash067

068ndash083084ndash099

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

Very lowLowModerate

HighVery high

(d)

Figure 4 Map showing response of various basin geometry parameters in subwatersheds of Supin River basin (a) Circularity ratio (119877119888

) (b)Form ratio (119865

119891

) (c) Elongation ratio (119877119890

) (d) Drainage texture (119863119905

)

greater risk from flood hazard because they have a very shortlag time and high peak flows than the elongated basins [57]The elongated subwatersheds on the other hand have lowside flow for shorter duration and high main flow for longerduration and are less susceptible to flood hazard

43 Drainage Texture Analysis Texture indicates the amountof landscape dissection by a channel network and includesstream frequency (119865

119904) drainage density (119863

119889) constant of

channel maintenance (119862) length of overland flow (119871119892) and

infiltration number (119868119891) High values of 119865

119904and 119863

119889are found

in WS3 WS5 WS11 WS14 WS22 and WS25 whereas lowvalues of 119865

119904and 119863

119889are found in WS1 WS6 WS18 WS23

andWS27 (Figures 5(a) and 5(b))The119862 value of Supin basinvaries from 033 to 052 (Table 1)The 119871

119892value of Supin basin

ranges from 016 to 026 and 119868119891value ranges from 294 to 861

(Table 1) Low 119871119892values and high 119868

119891values are found inWS3

WS5 WS11 WS12 WS14 and WS22 (Figures 5(c) and 5(d))which have corresponding high 119865

119904and 119863

119889values (Figures

5(a) and 5(b))119865119904and119863

119889provide a numericalmeasurement of landscape

dissection and run-off potential [16] and bears a nega-tive relationship with 119871

119892and 119868

119891(Table 4) Subwatersheds

belonging to C3 C4 and C5 (Table 3 Figure 3(c)) withlow values of 119871

119892and 119862 have developed numerous drainage

lines on the surface The high values of 119865119904and 119863

119889in these

subwatershedsmaybe due to high relief steep slopes and alsolow permeability of the underlying rocks

44 Relief Characteristics The relief properties in morpho-metric analysis bring into consideration the influence ofaspect and height over a large basin area Relief ratio (119877

ℎ)

ruggedness number (119877119899) and dissection index (119863

119894119904) indicate

the erosion potential of the processes operating within a

8 Geography Journal

Table3

Detailedresultof

hierarchical

cluste

ranalysisforfour

morph

ometric

prop

ertie

sof

SupinRiverbasin

(drainagenetwork

basin

geom

etryd

rainagetextureanalysis

andrelief

characteris

tics)

Drainagen

etwork

ClusterID

Num

bero

fstre

am(119873119906

)To

talstre

amleng

th(K

m)

Meanstr

eam

leng

thratio

(119871119906119903119898

)Bifurcationratio

(119877119887

)Rh

ocoefficient(120588)

C13233

5425

298

294

107

C22400

3903

280

327

090

C36700

10514

291

270

108

C41250

1980

259

200

127

C52850

4877

449

335

136

Basin

geom

etry

ClusterID

Form

ratio

(119865119891

)Shapefactor

Elon

gatio

nratio

(119877119890

)Texturer

atio

(119877119905

)Circularity

ratio

(119877119888

)Drainagetexture

(119863119905

)Com

pactness

Coefficient(119862119888

)C1

035

312

066

099

047

128

147

C2057

179

085

061

047

079

147

C3056

187

084

136

042

183

157

C4007

1599

030

099

037

128

169

C5017

917

044

048

036

065

169

Drainagetexture

ClusterID

Stream

frequ

ency

(119865119904

)Drainaged

ensity(119863119889

)Con

stant

ofchannel

maintenance

(119862)

drainage

intensity

(119863119894

)Infiltrationnu

mber

(119868119891

)Leng

thof

overland

flow(119871119892

)C1

223

216

046

103

482

023

C218

9215

047

088

410

023

C3241

253

040

095

611

020

C4281

298

034

094

838

017

C5238

289

035

083

686

017

Reliefcharacteristics

ClusterID

Reliefratio

(119877ℎ

)Diss

ectio

nindex(119863119894119904

)Gradientratio

(119877119892

)Ru

ggednessnu

mber

(119877119899

)C1

026

047

024

495

C2035

043

042

353

C3029

030

041

351

C4010

032

011

452

C5029

044

017

561

Geography Journal 9

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

153ndash180181ndash208209ndash236

237ndash264265ndash292

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

78∘3799840022998400998400E

193ndash215216ndash239240ndash263

264ndash287288ndash311

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

016ndash018019ndash021022ndash024

025ndash027028ndash030

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

294ndash407408ndash521522ndash635

636ndash749750ndash863

(d)

Figure 5 Map showing response of various drainage texture parameters in subwatersheds of Supin River basin (a) Stream Frequency (119865119904

)(b) Drainage Density (119863

119889

) (c) Length of overland flow (119871119892

) (d) Infiltration Number (119868119891

)

drainage basin The total basin relief (Z-z) of Supin basin is4296m (Table 1) The 119877

ℎvalue of Supin basin ranges from

007ndash044 with high values in WS2 WS5 WS17 WS19 WS21WS23WS24WS25WS26 andWS27 and low values inWS1WS9WS10WS11WS12WS13 andWS14 (Figure 6(a))Highvalues of119877

119899and119863

119894119904are found inWS3WS4WS5WS7WS9

WS19 and WS20 which indicates the steepness of slope andhigh degree of dissection of these subwatersheds whereaslow values are found in WS10 WS11 WS12 WS13 and WS14(Figures 6(b) and 6(c)) 119877

ℎis related to the channel gradient

and has a negative relationship with basin length (Table 4)Subwatersheds having high values of 119863

119905(C3 in Figure 3(b))

also have high values of 119877119899(C1 and C5 in Figure 3(d)) since

119877119899has a positive correlation with119863

119905(Table 4)The low119863

119894119904of

Supin basin (027ndash061) indicates that the basin is moderatelydissected (Table 1)

45 Hypsometry Analysis Hypsometric curve of a drainagebasin represents the relative proportion of watershed areabelow or above a given elevation It is a measure of theerosional state or geomorphic age of a drainage basin as itrepresents the mass of drainage basin remaining above abasal plane of reference Convex hypsometric curves indicateyouthful stage S-shaped curves indicate a mature stageand concave curves indicate peneplain stage [5] Here thehypsometric curve has been treated as a cumulative proba-bility distribution and statistical moments have been used todescribe the curve quantitatively [58]The hypsometric curvehas been derived by fitting a 5th order polynomial functionwhich is as follows

119891 (119909) = 1198600+ 1198601lowast 119909 + 119860

2lowast 1199092

+ 1198603lowast 1199093

+ 1198604lowast 1199094

+ 1198605lowast 1199095

(1)

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

Child Development Research

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Geography Journal

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Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 3: Morphometry governs the dynamics of a drainage basin: analysis & implications

Geography Journal 3

India

0 375 750 1500

(km)

70∘0998400E 80∘0998400E 90∘0998400E 100∘0998400E 110∘0998400E

70∘0998400E 80∘0998400E 90∘0998400E 100∘0998400E 110∘0998400E

10∘ 0

998400 N20

∘ 0998400 N

30∘ 0

998400 N

10∘ 0

998400 N20

∘ 0998400 N

30∘ 0

998400 N

(a)

Uttarakhand

0 45 90 180(km)

77∘20998400E 78∘40998400E 80∘0998400E 81∘20998400E

77∘20998400E 78∘40998400E 80∘0998400E 81∘20998400E

29∘ 0

998400N

30∘ 0

998400N

31∘ 0

998400 N

29∘ 0

998400N

30∘ 0

998400N

31∘ 0

998400 N

(b)

Uttarkashi

0 20 40 80

(km)

78∘0998400E 78∘40998400E 79∘20998400E

78∘0998400E 78∘40998400E 79∘20998400E

30∘ 3

0998400 N31

∘ 0998400 N

31∘ 3

0998400 N

30∘ 3

0998400 N31

∘ 0998400 N

31∘ 3

0998400 N

(c)

0 25 5 75 10

(km)78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 N

31∘ 1

4998400N

31∘ 1

0998400 N31

∘ 5998400 N

78∘37998400E

WS

WS

WS

WS

WS

WS

WS

WS

WS

WSWS

WS

WS

WSWS

WSWS

WS

WSWS

WS

WS

WS

WS

WS

WS

WS

(d)

Figure 1 Location map of Supin River basin having an area of 565406 km2 and a perimeter of 190466 km (a) Uttarakhand state in India(b) Uttarkashi district in Uttarakhand state (c) Supin River basin in Uttarkashi district (d) Subwatersheds (27) in Supin River basin

4 Geography Journal

0 25 5 75 10(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E31

∘ 14998400 6

998400998400N

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 0

998400 13998400998400

N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

1st order2nd order3rd order

4th order5th order6th order(Supin River)

(a)

MCT

MT

63531500

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 0

998400 13998400998400

N

0 25 5 7510(km)

31∘ 1

4998400 6998400998400

N

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 1

4998400 6998400998400

N

Heights (m)

(b)

0 10 20 30 400

1

2

3

4

5

Distance (km)

Elev

atio

n (k

m)

MCT

MT

Downstream Upstream

B

A

Kyanite-sillimanite-garnet bearing two mica schistAugen-gneiss and porphyritic granitesMylonitized quartz porphyry

K

K

K

78∘15998400E 78∘30998400E

(c)

Figure 2 (a) Stream orders of Supin River basin (ranked according to Strahler [6]) (b) Elevation map of Supin River basin showing faultboundariesmdashMain CentralThrust (MCT) across the upstream section andMunsiariThrust (MT) across the downstream section of the SupinRiver basin (c) A cross sectional profile along the Supin River showing the approximate disposition of lithology (adopted from Valdiya andKumar et al [46 47]) Knick points are marked as K

and a simultaneous increase in mean stream length (119871119906119903119898

)(Table 2) The RHO coefficient (120588) and bifurcation ratio (119877

119887)

values for Supin basin range from 062ndash210 (Table 1) and 2 to514 (Table 2) respectively

The variation of 119871119906119903between successive stream orders of

Supin River basin is due to the greater number of streamsbelonging to lower orders indicating that the basin is stillin its youthful stage of development (Table 2) High 119877

119887

values in subwatersheds belonging to C2 and C5 (Table 3)indicate structural control on the development of drainagenetwork The 120588 value signifies the storage capacity of a basinand determines the relationship between drainage densityand physiographic development of the basin Subwatersheds

belonging to C4 and C5 (Table 3 Figure 3(a)) having highvalues of 120588 are at a greater risk of being eroded by the excessdischarge during flood

42 Basin Geometry Basin shape is controlled by structurelithology relief and precipitation and varies from narrowelongated forms with irregular basin perimeter to circularor semicircular forms Circularity ratio (119877

119888) of Supin basin

ranges from 030 to 056 (Table 1) with high values in WS1WS4 WS8 WS9 WS12 WS17 WS21 WS23 and WS24and low values in WS7 WS10 WS11 WS16 and WS22(Figure 4(a)) High values of form ratio (119877

119891) and elongation

Geography Journal 5

Table 1 Morphometric parameters calculated for Supin River basin from four aspectsmdashdrainage network basin geometry drainage textureand relief characteristics

Sl No Morphometric parameters Formulae Reference Result (range)Drainage network

1 Stream order (119878119906

) Hierarchical rank [4] 1 to 62 Stream number (119873

119906

) 119873119906

= 1198731

+ 1198732

+ sdot sdot sdot + 119873119899

[3] 8783 Stream length (119871

119906

) km 119871119906

= 1198711

+ 1198712

+ sdot sdot sdot + 119871119899

[6] 1439204 Stream length Ratio (119871

119906119903

) 119871119906119903

= 119871119906

119871119906minus1

[6] 105ndash2065 Mean stream length ratio (119871

119906119903119898

) Σ119871119906119903

[3] 3186 Mean bifurcation ratio (119877

119887

) 119877119887

= 119873119906

119873119906+1

[6] 133ndash5337 Main channel length (119862

119897

) km 54528 Minimum aerial distance (119860

119889119898

) km 43769 Channel index (119862

119894

) 119862119894

= 119862119897

119860119889119898

[49] 12510 Rho coefficient (120588) 120588 = 119871

119906119903

119877119887

[3] 062ndash210Basin Geometry

11 Basin length (119871119887

) km [7] 441412 Basin area (119860) km2 [7] 5654113 Basin perimeter (119875) km [7] 1904714 Form ratio (119865

119891

) 119865119891

= 119860119871119887

2 [2] 004ndash07315 Elongation ratio (119877

119890

) 119877119890

= 2119871119887

lowast (119860120587)05 [7] 022ndash097

16 Texture ratio (119877119905

) 119877119905

= 1198731

119875 [7] 027ndash18817 Circularity ratio (119877

119888

) 119877119888

= 41205871198601198752 [49] 030ndash056

18 Drainage texture (119863119905

) 119863119905

= 119873119906

119875 [3] 044ndash25519 Compactness coefficient (119862

119888

) 119862119888

= 02841 lowast 11987511986005 [50] 134ndash184

20 Fitness ratio (119877119891

) 119877119891

= 119862119897

119875 [51] 19221 Wandering ratio (119877

119908

) 119877119908

= 119862119897

119871119887

[52] 60122 Watershed eccentricity (120591) 120591 = [(|119871 cm

2

minus119882cm2

|)]05

119882cm [53] 088Drainage texture analysis

23 Stream frequency (119865119904

) 119865119904

= 119873119906

119860 [2] 153ndash29024 Drainage density (119863

119889

) km kms2 119863119889

= 119871119906

119860 [2] 192ndash30625 Constant of channel maintenance (119862) (kms2km) 119862 = 1119863

119889

[7] 033ndash05226 Drainage intensity (119863

119894

) 119863119894

= 119865119904

119863119889

[54] 079ndash11127 Infiltration number (119868

119891

) 119868119891

= 119865119904

lowast 119863119889

[54] 294ndash86128 Length of overland flow (119871

119892

) km 119871119892

= 1198602 lowast 119871119906

[3] 016ndash026Relief characteristics

29 Height of basin mouth (119911) m 154330 Maximum height of the basin (119885) m 583931 Total basin relief (119867) m 119867 = 119885 minus 119911 [4] 429632 Relief ratio (119877

) 119877ℎ

= 119867119871119887

[7] 007ndash04433 Absolute relief (119877

119886

) m 583935 Ruggedness number (119877

119899

) 119877119899

= 119863119889

lowast (1198671000) [6] 302ndash64436 Dissection index (119863

119894119904

) 119863119894119904

= 119867119877119886

[55] 027ndash061

Table 2 Stream order-wise frequency distribution of number of streams along with their mean stream length drainage area and bifurcationratio

Stream order(119904119906

)Number ofstreams (119873

119906

)Mean stream

length (km) (119871119904119898

)Stream length ratio

(119871119906119903

)Drainage area

(km2)Bifurcation ratio

(119877119887

)1 677 285 349052 155 299 105 10029 4373 36 615 206 5032 4314 7 1160 189 1590 5145 2 2323 200 2246 3506 1 4008 173 1768 200

6 Geography Journal

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS1

2W

S14

WS4

WS6

WS8

WS2

6W

S24

WS1

0W

S3W

S9W

S15

WS1

9W

S20

WS1

1W

S2W

S13

WS1

7W

S16

WS2

7W

S23

WS5

WS2

1W

S7W

S18

WS2

5W

S22

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(a)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS9

WS2

0W

S2W

S6W

S4W

S8W

S24

WS2

6W

S17

WS1

8W

S23

WS2

5W

S3W

S15

WS1

9W

S5W

S21

WS7

WS1

0W

S14

WS1

1W

S12

WS1

3W

S16

WS2

2W

S27

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(b)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS8

WS1

0W

S19

WS6

WS2

3W

S17

WS2

4W

S27

WS1

8W

S2W

S20

WS4

WS2

1W

S7W

S16

WS9

WS1

3W

S25

WS1

5W

S3W

S5W

S11

WS2

2W

S12

WS2

6W

S14

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(c)

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS7

WS1

6W

S17

WS3

WS5

WS4

WS9

WS2

2W

S23

WS2

5W

S27

WS2

WS6

WS8

WS1

8W

S10

WS1

1W

S12

WS1

3W

S14

WS1

5W

S20

WS1

9W

S21

WS2

4W

S26

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(d)

Figure 3 Dendrogram showing groups having similar properties (a) related to drainage network (b) related to basin geometry (c) relatedto drainage texture analysis and (d) related to relief characteristics

ratio (119877119890) are found in WS3 WS5 WS17 WS19 WS21 WS23

and WS25 whereas low values are found in WS11 WS12WS13 WS14 and WS16 (Figures 4(b) and 4(c)) The relativespacing of channels in a drainage basin is expressed bytexture ratio (119877

119905) and drainage texture (119863

119905) The 119877

119905and 119863

119905

values of Supin basin range from 027 to 188 and 044 to255 respectively (Table 1) High values of 119863

119905are found in

subwatersheds located in the upper reaches of the basinwhereas low 119863

119905values are found in subwatersheds located

near the mouth of the basin (Figure 4(d))

119877119888bears a strong negative relationship with compactness

coefficient (119862119888) whereas 119865

119891has a positive relationship with

119877119890(Table 4) [28] Low values of 119877

119888(C4 and C5) (Table 3

Figure 3(b)) are associated with high relief and steep slopesand imply the youthful nature of these subwatersheds Thesubwatersheds belonging to C1 C2 and C3 (Figure 3(b))having high values of 119877

119888 119865119891 119877119890 119877119905 and 119863

119905and low values

of 119862119888are more circular in shape than those belonging to C4

and C5 (Table 3) Although the circular subwatersheds aremore efficient in the discharge of run-off [56] they are at

Geography Journal 7

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

030ndash035036ndash041042ndash047

048ndash053054ndash059

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

003ndash017018ndash032033ndash047

048ndash062063ndash076

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

020ndash035036ndash051052ndash067

068ndash083084ndash099

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

Very lowLowModerate

HighVery high

(d)

Figure 4 Map showing response of various basin geometry parameters in subwatersheds of Supin River basin (a) Circularity ratio (119877119888

) (b)Form ratio (119865

119891

) (c) Elongation ratio (119877119890

) (d) Drainage texture (119863119905

)

greater risk from flood hazard because they have a very shortlag time and high peak flows than the elongated basins [57]The elongated subwatersheds on the other hand have lowside flow for shorter duration and high main flow for longerduration and are less susceptible to flood hazard

43 Drainage Texture Analysis Texture indicates the amountof landscape dissection by a channel network and includesstream frequency (119865

119904) drainage density (119863

119889) constant of

channel maintenance (119862) length of overland flow (119871119892) and

infiltration number (119868119891) High values of 119865

119904and 119863

119889are found

in WS3 WS5 WS11 WS14 WS22 and WS25 whereas lowvalues of 119865

119904and 119863

119889are found in WS1 WS6 WS18 WS23

andWS27 (Figures 5(a) and 5(b))The119862 value of Supin basinvaries from 033 to 052 (Table 1)The 119871

119892value of Supin basin

ranges from 016 to 026 and 119868119891value ranges from 294 to 861

(Table 1) Low 119871119892values and high 119868

119891values are found inWS3

WS5 WS11 WS12 WS14 and WS22 (Figures 5(c) and 5(d))which have corresponding high 119865

119904and 119863

119889values (Figures

5(a) and 5(b))119865119904and119863

119889provide a numericalmeasurement of landscape

dissection and run-off potential [16] and bears a nega-tive relationship with 119871

119892and 119868

119891(Table 4) Subwatersheds

belonging to C3 C4 and C5 (Table 3 Figure 3(c)) withlow values of 119871

119892and 119862 have developed numerous drainage

lines on the surface The high values of 119865119904and 119863

119889in these

subwatershedsmaybe due to high relief steep slopes and alsolow permeability of the underlying rocks

44 Relief Characteristics The relief properties in morpho-metric analysis bring into consideration the influence ofaspect and height over a large basin area Relief ratio (119877

ℎ)

ruggedness number (119877119899) and dissection index (119863

119894119904) indicate

the erosion potential of the processes operating within a

8 Geography Journal

Table3

Detailedresultof

hierarchical

cluste

ranalysisforfour

morph

ometric

prop

ertie

sof

SupinRiverbasin

(drainagenetwork

basin

geom

etryd

rainagetextureanalysis

andrelief

characteris

tics)

Drainagen

etwork

ClusterID

Num

bero

fstre

am(119873119906

)To

talstre

amleng

th(K

m)

Meanstr

eam

leng

thratio

(119871119906119903119898

)Bifurcationratio

(119877119887

)Rh

ocoefficient(120588)

C13233

5425

298

294

107

C22400

3903

280

327

090

C36700

10514

291

270

108

C41250

1980

259

200

127

C52850

4877

449

335

136

Basin

geom

etry

ClusterID

Form

ratio

(119865119891

)Shapefactor

Elon

gatio

nratio

(119877119890

)Texturer

atio

(119877119905

)Circularity

ratio

(119877119888

)Drainagetexture

(119863119905

)Com

pactness

Coefficient(119862119888

)C1

035

312

066

099

047

128

147

C2057

179

085

061

047

079

147

C3056

187

084

136

042

183

157

C4007

1599

030

099

037

128

169

C5017

917

044

048

036

065

169

Drainagetexture

ClusterID

Stream

frequ

ency

(119865119904

)Drainaged

ensity(119863119889

)Con

stant

ofchannel

maintenance

(119862)

drainage

intensity

(119863119894

)Infiltrationnu

mber

(119868119891

)Leng

thof

overland

flow(119871119892

)C1

223

216

046

103

482

023

C218

9215

047

088

410

023

C3241

253

040

095

611

020

C4281

298

034

094

838

017

C5238

289

035

083

686

017

Reliefcharacteristics

ClusterID

Reliefratio

(119877ℎ

)Diss

ectio

nindex(119863119894119904

)Gradientratio

(119877119892

)Ru

ggednessnu

mber

(119877119899

)C1

026

047

024

495

C2035

043

042

353

C3029

030

041

351

C4010

032

011

452

C5029

044

017

561

Geography Journal 9

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

153ndash180181ndash208209ndash236

237ndash264265ndash292

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

78∘3799840022998400998400E

193ndash215216ndash239240ndash263

264ndash287288ndash311

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

016ndash018019ndash021022ndash024

025ndash027028ndash030

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

294ndash407408ndash521522ndash635

636ndash749750ndash863

(d)

Figure 5 Map showing response of various drainage texture parameters in subwatersheds of Supin River basin (a) Stream Frequency (119865119904

)(b) Drainage Density (119863

119889

) (c) Length of overland flow (119871119892

) (d) Infiltration Number (119868119891

)

drainage basin The total basin relief (Z-z) of Supin basin is4296m (Table 1) The 119877

ℎvalue of Supin basin ranges from

007ndash044 with high values in WS2 WS5 WS17 WS19 WS21WS23WS24WS25WS26 andWS27 and low values inWS1WS9WS10WS11WS12WS13 andWS14 (Figure 6(a))Highvalues of119877

119899and119863

119894119904are found inWS3WS4WS5WS7WS9

WS19 and WS20 which indicates the steepness of slope andhigh degree of dissection of these subwatersheds whereaslow values are found in WS10 WS11 WS12 WS13 and WS14(Figures 6(b) and 6(c)) 119877

ℎis related to the channel gradient

and has a negative relationship with basin length (Table 4)Subwatersheds having high values of 119863

119905(C3 in Figure 3(b))

also have high values of 119877119899(C1 and C5 in Figure 3(d)) since

119877119899has a positive correlation with119863

119905(Table 4)The low119863

119894119904of

Supin basin (027ndash061) indicates that the basin is moderatelydissected (Table 1)

45 Hypsometry Analysis Hypsometric curve of a drainagebasin represents the relative proportion of watershed areabelow or above a given elevation It is a measure of theerosional state or geomorphic age of a drainage basin as itrepresents the mass of drainage basin remaining above abasal plane of reference Convex hypsometric curves indicateyouthful stage S-shaped curves indicate a mature stageand concave curves indicate peneplain stage [5] Here thehypsometric curve has been treated as a cumulative proba-bility distribution and statistical moments have been used todescribe the curve quantitatively [58]The hypsometric curvehas been derived by fitting a 5th order polynomial functionwhich is as follows

119891 (119909) = 1198600+ 1198601lowast 119909 + 119860

2lowast 1199092

+ 1198603lowast 1199093

+ 1198604lowast 1199094

+ 1198605lowast 1199095

(1)

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

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Economics Research International

Page 4: Morphometry governs the dynamics of a drainage basin: analysis & implications

4 Geography Journal

0 25 5 75 10(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E31

∘ 14998400 6

998400998400N

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 0

998400 13998400998400

N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

1st order2nd order3rd order

4th order5th order6th order(Supin River)

(a)

MCT

MT

63531500

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 0

998400 13998400998400

N

0 25 5 7510(km)

31∘ 1

4998400 6998400998400

N

31∘ 1

0998400 N31

∘ 5998400 N

31∘ 1

4998400 6998400998400

N

Heights (m)

(b)

0 10 20 30 400

1

2

3

4

5

Distance (km)

Elev

atio

n (k

m)

MCT

MT

Downstream Upstream

B

A

Kyanite-sillimanite-garnet bearing two mica schistAugen-gneiss and porphyritic granitesMylonitized quartz porphyry

K

K

K

78∘15998400E 78∘30998400E

(c)

Figure 2 (a) Stream orders of Supin River basin (ranked according to Strahler [6]) (b) Elevation map of Supin River basin showing faultboundariesmdashMain CentralThrust (MCT) across the upstream section andMunsiariThrust (MT) across the downstream section of the SupinRiver basin (c) A cross sectional profile along the Supin River showing the approximate disposition of lithology (adopted from Valdiya andKumar et al [46 47]) Knick points are marked as K

and a simultaneous increase in mean stream length (119871119906119903119898

)(Table 2) The RHO coefficient (120588) and bifurcation ratio (119877

119887)

values for Supin basin range from 062ndash210 (Table 1) and 2 to514 (Table 2) respectively

The variation of 119871119906119903between successive stream orders of

Supin River basin is due to the greater number of streamsbelonging to lower orders indicating that the basin is stillin its youthful stage of development (Table 2) High 119877

119887

values in subwatersheds belonging to C2 and C5 (Table 3)indicate structural control on the development of drainagenetwork The 120588 value signifies the storage capacity of a basinand determines the relationship between drainage densityand physiographic development of the basin Subwatersheds

belonging to C4 and C5 (Table 3 Figure 3(a)) having highvalues of 120588 are at a greater risk of being eroded by the excessdischarge during flood

42 Basin Geometry Basin shape is controlled by structurelithology relief and precipitation and varies from narrowelongated forms with irregular basin perimeter to circularor semicircular forms Circularity ratio (119877

119888) of Supin basin

ranges from 030 to 056 (Table 1) with high values in WS1WS4 WS8 WS9 WS12 WS17 WS21 WS23 and WS24and low values in WS7 WS10 WS11 WS16 and WS22(Figure 4(a)) High values of form ratio (119877

119891) and elongation

Geography Journal 5

Table 1 Morphometric parameters calculated for Supin River basin from four aspectsmdashdrainage network basin geometry drainage textureand relief characteristics

Sl No Morphometric parameters Formulae Reference Result (range)Drainage network

1 Stream order (119878119906

) Hierarchical rank [4] 1 to 62 Stream number (119873

119906

) 119873119906

= 1198731

+ 1198732

+ sdot sdot sdot + 119873119899

[3] 8783 Stream length (119871

119906

) km 119871119906

= 1198711

+ 1198712

+ sdot sdot sdot + 119871119899

[6] 1439204 Stream length Ratio (119871

119906119903

) 119871119906119903

= 119871119906

119871119906minus1

[6] 105ndash2065 Mean stream length ratio (119871

119906119903119898

) Σ119871119906119903

[3] 3186 Mean bifurcation ratio (119877

119887

) 119877119887

= 119873119906

119873119906+1

[6] 133ndash5337 Main channel length (119862

119897

) km 54528 Minimum aerial distance (119860

119889119898

) km 43769 Channel index (119862

119894

) 119862119894

= 119862119897

119860119889119898

[49] 12510 Rho coefficient (120588) 120588 = 119871

119906119903

119877119887

[3] 062ndash210Basin Geometry

11 Basin length (119871119887

) km [7] 441412 Basin area (119860) km2 [7] 5654113 Basin perimeter (119875) km [7] 1904714 Form ratio (119865

119891

) 119865119891

= 119860119871119887

2 [2] 004ndash07315 Elongation ratio (119877

119890

) 119877119890

= 2119871119887

lowast (119860120587)05 [7] 022ndash097

16 Texture ratio (119877119905

) 119877119905

= 1198731

119875 [7] 027ndash18817 Circularity ratio (119877

119888

) 119877119888

= 41205871198601198752 [49] 030ndash056

18 Drainage texture (119863119905

) 119863119905

= 119873119906

119875 [3] 044ndash25519 Compactness coefficient (119862

119888

) 119862119888

= 02841 lowast 11987511986005 [50] 134ndash184

20 Fitness ratio (119877119891

) 119877119891

= 119862119897

119875 [51] 19221 Wandering ratio (119877

119908

) 119877119908

= 119862119897

119871119887

[52] 60122 Watershed eccentricity (120591) 120591 = [(|119871 cm

2

minus119882cm2

|)]05

119882cm [53] 088Drainage texture analysis

23 Stream frequency (119865119904

) 119865119904

= 119873119906

119860 [2] 153ndash29024 Drainage density (119863

119889

) km kms2 119863119889

= 119871119906

119860 [2] 192ndash30625 Constant of channel maintenance (119862) (kms2km) 119862 = 1119863

119889

[7] 033ndash05226 Drainage intensity (119863

119894

) 119863119894

= 119865119904

119863119889

[54] 079ndash11127 Infiltration number (119868

119891

) 119868119891

= 119865119904

lowast 119863119889

[54] 294ndash86128 Length of overland flow (119871

119892

) km 119871119892

= 1198602 lowast 119871119906

[3] 016ndash026Relief characteristics

29 Height of basin mouth (119911) m 154330 Maximum height of the basin (119885) m 583931 Total basin relief (119867) m 119867 = 119885 minus 119911 [4] 429632 Relief ratio (119877

) 119877ℎ

= 119867119871119887

[7] 007ndash04433 Absolute relief (119877

119886

) m 583935 Ruggedness number (119877

119899

) 119877119899

= 119863119889

lowast (1198671000) [6] 302ndash64436 Dissection index (119863

119894119904

) 119863119894119904

= 119867119877119886

[55] 027ndash061

Table 2 Stream order-wise frequency distribution of number of streams along with their mean stream length drainage area and bifurcationratio

Stream order(119904119906

)Number ofstreams (119873

119906

)Mean stream

length (km) (119871119904119898

)Stream length ratio

(119871119906119903

)Drainage area

(km2)Bifurcation ratio

(119877119887

)1 677 285 349052 155 299 105 10029 4373 36 615 206 5032 4314 7 1160 189 1590 5145 2 2323 200 2246 3506 1 4008 173 1768 200

6 Geography Journal

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS1

2W

S14

WS4

WS6

WS8

WS2

6W

S24

WS1

0W

S3W

S9W

S15

WS1

9W

S20

WS1

1W

S2W

S13

WS1

7W

S16

WS2

7W

S23

WS5

WS2

1W

S7W

S18

WS2

5W

S22

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(a)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS9

WS2

0W

S2W

S6W

S4W

S8W

S24

WS2

6W

S17

WS1

8W

S23

WS2

5W

S3W

S15

WS1

9W

S5W

S21

WS7

WS1

0W

S14

WS1

1W

S12

WS1

3W

S16

WS2

2W

S27

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(b)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS8

WS1

0W

S19

WS6

WS2

3W

S17

WS2

4W

S27

WS1

8W

S2W

S20

WS4

WS2

1W

S7W

S16

WS9

WS1

3W

S25

WS1

5W

S3W

S5W

S11

WS2

2W

S12

WS2

6W

S14

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(c)

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS7

WS1

6W

S17

WS3

WS5

WS4

WS9

WS2

2W

S23

WS2

5W

S27

WS2

WS6

WS8

WS1

8W

S10

WS1

1W

S12

WS1

3W

S14

WS1

5W

S20

WS1

9W

S21

WS2

4W

S26

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(d)

Figure 3 Dendrogram showing groups having similar properties (a) related to drainage network (b) related to basin geometry (c) relatedto drainage texture analysis and (d) related to relief characteristics

ratio (119877119890) are found in WS3 WS5 WS17 WS19 WS21 WS23

and WS25 whereas low values are found in WS11 WS12WS13 WS14 and WS16 (Figures 4(b) and 4(c)) The relativespacing of channels in a drainage basin is expressed bytexture ratio (119877

119905) and drainage texture (119863

119905) The 119877

119905and 119863

119905

values of Supin basin range from 027 to 188 and 044 to255 respectively (Table 1) High values of 119863

119905are found in

subwatersheds located in the upper reaches of the basinwhereas low 119863

119905values are found in subwatersheds located

near the mouth of the basin (Figure 4(d))

119877119888bears a strong negative relationship with compactness

coefficient (119862119888) whereas 119865

119891has a positive relationship with

119877119890(Table 4) [28] Low values of 119877

119888(C4 and C5) (Table 3

Figure 3(b)) are associated with high relief and steep slopesand imply the youthful nature of these subwatersheds Thesubwatersheds belonging to C1 C2 and C3 (Figure 3(b))having high values of 119877

119888 119865119891 119877119890 119877119905 and 119863

119905and low values

of 119862119888are more circular in shape than those belonging to C4

and C5 (Table 3) Although the circular subwatersheds aremore efficient in the discharge of run-off [56] they are at

Geography Journal 7

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

030ndash035036ndash041042ndash047

048ndash053054ndash059

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

003ndash017018ndash032033ndash047

048ndash062063ndash076

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

020ndash035036ndash051052ndash067

068ndash083084ndash099

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

Very lowLowModerate

HighVery high

(d)

Figure 4 Map showing response of various basin geometry parameters in subwatersheds of Supin River basin (a) Circularity ratio (119877119888

) (b)Form ratio (119865

119891

) (c) Elongation ratio (119877119890

) (d) Drainage texture (119863119905

)

greater risk from flood hazard because they have a very shortlag time and high peak flows than the elongated basins [57]The elongated subwatersheds on the other hand have lowside flow for shorter duration and high main flow for longerduration and are less susceptible to flood hazard

43 Drainage Texture Analysis Texture indicates the amountof landscape dissection by a channel network and includesstream frequency (119865

119904) drainage density (119863

119889) constant of

channel maintenance (119862) length of overland flow (119871119892) and

infiltration number (119868119891) High values of 119865

119904and 119863

119889are found

in WS3 WS5 WS11 WS14 WS22 and WS25 whereas lowvalues of 119865

119904and 119863

119889are found in WS1 WS6 WS18 WS23

andWS27 (Figures 5(a) and 5(b))The119862 value of Supin basinvaries from 033 to 052 (Table 1)The 119871

119892value of Supin basin

ranges from 016 to 026 and 119868119891value ranges from 294 to 861

(Table 1) Low 119871119892values and high 119868

119891values are found inWS3

WS5 WS11 WS12 WS14 and WS22 (Figures 5(c) and 5(d))which have corresponding high 119865

119904and 119863

119889values (Figures

5(a) and 5(b))119865119904and119863

119889provide a numericalmeasurement of landscape

dissection and run-off potential [16] and bears a nega-tive relationship with 119871

119892and 119868

119891(Table 4) Subwatersheds

belonging to C3 C4 and C5 (Table 3 Figure 3(c)) withlow values of 119871

119892and 119862 have developed numerous drainage

lines on the surface The high values of 119865119904and 119863

119889in these

subwatershedsmaybe due to high relief steep slopes and alsolow permeability of the underlying rocks

44 Relief Characteristics The relief properties in morpho-metric analysis bring into consideration the influence ofaspect and height over a large basin area Relief ratio (119877

ℎ)

ruggedness number (119877119899) and dissection index (119863

119894119904) indicate

the erosion potential of the processes operating within a

8 Geography Journal

Table3

Detailedresultof

hierarchical

cluste

ranalysisforfour

morph

ometric

prop

ertie

sof

SupinRiverbasin

(drainagenetwork

basin

geom

etryd

rainagetextureanalysis

andrelief

characteris

tics)

Drainagen

etwork

ClusterID

Num

bero

fstre

am(119873119906

)To

talstre

amleng

th(K

m)

Meanstr

eam

leng

thratio

(119871119906119903119898

)Bifurcationratio

(119877119887

)Rh

ocoefficient(120588)

C13233

5425

298

294

107

C22400

3903

280

327

090

C36700

10514

291

270

108

C41250

1980

259

200

127

C52850

4877

449

335

136

Basin

geom

etry

ClusterID

Form

ratio

(119865119891

)Shapefactor

Elon

gatio

nratio

(119877119890

)Texturer

atio

(119877119905

)Circularity

ratio

(119877119888

)Drainagetexture

(119863119905

)Com

pactness

Coefficient(119862119888

)C1

035

312

066

099

047

128

147

C2057

179

085

061

047

079

147

C3056

187

084

136

042

183

157

C4007

1599

030

099

037

128

169

C5017

917

044

048

036

065

169

Drainagetexture

ClusterID

Stream

frequ

ency

(119865119904

)Drainaged

ensity(119863119889

)Con

stant

ofchannel

maintenance

(119862)

drainage

intensity

(119863119894

)Infiltrationnu

mber

(119868119891

)Leng

thof

overland

flow(119871119892

)C1

223

216

046

103

482

023

C218

9215

047

088

410

023

C3241

253

040

095

611

020

C4281

298

034

094

838

017

C5238

289

035

083

686

017

Reliefcharacteristics

ClusterID

Reliefratio

(119877ℎ

)Diss

ectio

nindex(119863119894119904

)Gradientratio

(119877119892

)Ru

ggednessnu

mber

(119877119899

)C1

026

047

024

495

C2035

043

042

353

C3029

030

041

351

C4010

032

011

452

C5029

044

017

561

Geography Journal 9

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

153ndash180181ndash208209ndash236

237ndash264265ndash292

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

78∘3799840022998400998400E

193ndash215216ndash239240ndash263

264ndash287288ndash311

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

016ndash018019ndash021022ndash024

025ndash027028ndash030

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

294ndash407408ndash521522ndash635

636ndash749750ndash863

(d)

Figure 5 Map showing response of various drainage texture parameters in subwatersheds of Supin River basin (a) Stream Frequency (119865119904

)(b) Drainage Density (119863

119889

) (c) Length of overland flow (119871119892

) (d) Infiltration Number (119868119891

)

drainage basin The total basin relief (Z-z) of Supin basin is4296m (Table 1) The 119877

ℎvalue of Supin basin ranges from

007ndash044 with high values in WS2 WS5 WS17 WS19 WS21WS23WS24WS25WS26 andWS27 and low values inWS1WS9WS10WS11WS12WS13 andWS14 (Figure 6(a))Highvalues of119877

119899and119863

119894119904are found inWS3WS4WS5WS7WS9

WS19 and WS20 which indicates the steepness of slope andhigh degree of dissection of these subwatersheds whereaslow values are found in WS10 WS11 WS12 WS13 and WS14(Figures 6(b) and 6(c)) 119877

ℎis related to the channel gradient

and has a negative relationship with basin length (Table 4)Subwatersheds having high values of 119863

119905(C3 in Figure 3(b))

also have high values of 119877119899(C1 and C5 in Figure 3(d)) since

119877119899has a positive correlation with119863

119905(Table 4)The low119863

119894119904of

Supin basin (027ndash061) indicates that the basin is moderatelydissected (Table 1)

45 Hypsometry Analysis Hypsometric curve of a drainagebasin represents the relative proportion of watershed areabelow or above a given elevation It is a measure of theerosional state or geomorphic age of a drainage basin as itrepresents the mass of drainage basin remaining above abasal plane of reference Convex hypsometric curves indicateyouthful stage S-shaped curves indicate a mature stageand concave curves indicate peneplain stage [5] Here thehypsometric curve has been treated as a cumulative proba-bility distribution and statistical moments have been used todescribe the curve quantitatively [58]The hypsometric curvehas been derived by fitting a 5th order polynomial functionwhich is as follows

119891 (119909) = 1198600+ 1198601lowast 119909 + 119860

2lowast 1199092

+ 1198603lowast 1199093

+ 1198604lowast 1199094

+ 1198605lowast 1199095

(1)

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

Child Development Research

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

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Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

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CriminologyJournal of

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Aging ResearchJournal of

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

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Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

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Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 5: Morphometry governs the dynamics of a drainage basin: analysis & implications

Geography Journal 5

Table 1 Morphometric parameters calculated for Supin River basin from four aspectsmdashdrainage network basin geometry drainage textureand relief characteristics

Sl No Morphometric parameters Formulae Reference Result (range)Drainage network

1 Stream order (119878119906

) Hierarchical rank [4] 1 to 62 Stream number (119873

119906

) 119873119906

= 1198731

+ 1198732

+ sdot sdot sdot + 119873119899

[3] 8783 Stream length (119871

119906

) km 119871119906

= 1198711

+ 1198712

+ sdot sdot sdot + 119871119899

[6] 1439204 Stream length Ratio (119871

119906119903

) 119871119906119903

= 119871119906

119871119906minus1

[6] 105ndash2065 Mean stream length ratio (119871

119906119903119898

) Σ119871119906119903

[3] 3186 Mean bifurcation ratio (119877

119887

) 119877119887

= 119873119906

119873119906+1

[6] 133ndash5337 Main channel length (119862

119897

) km 54528 Minimum aerial distance (119860

119889119898

) km 43769 Channel index (119862

119894

) 119862119894

= 119862119897

119860119889119898

[49] 12510 Rho coefficient (120588) 120588 = 119871

119906119903

119877119887

[3] 062ndash210Basin Geometry

11 Basin length (119871119887

) km [7] 441412 Basin area (119860) km2 [7] 5654113 Basin perimeter (119875) km [7] 1904714 Form ratio (119865

119891

) 119865119891

= 119860119871119887

2 [2] 004ndash07315 Elongation ratio (119877

119890

) 119877119890

= 2119871119887

lowast (119860120587)05 [7] 022ndash097

16 Texture ratio (119877119905

) 119877119905

= 1198731

119875 [7] 027ndash18817 Circularity ratio (119877

119888

) 119877119888

= 41205871198601198752 [49] 030ndash056

18 Drainage texture (119863119905

) 119863119905

= 119873119906

119875 [3] 044ndash25519 Compactness coefficient (119862

119888

) 119862119888

= 02841 lowast 11987511986005 [50] 134ndash184

20 Fitness ratio (119877119891

) 119877119891

= 119862119897

119875 [51] 19221 Wandering ratio (119877

119908

) 119877119908

= 119862119897

119871119887

[52] 60122 Watershed eccentricity (120591) 120591 = [(|119871 cm

2

minus119882cm2

|)]05

119882cm [53] 088Drainage texture analysis

23 Stream frequency (119865119904

) 119865119904

= 119873119906

119860 [2] 153ndash29024 Drainage density (119863

119889

) km kms2 119863119889

= 119871119906

119860 [2] 192ndash30625 Constant of channel maintenance (119862) (kms2km) 119862 = 1119863

119889

[7] 033ndash05226 Drainage intensity (119863

119894

) 119863119894

= 119865119904

119863119889

[54] 079ndash11127 Infiltration number (119868

119891

) 119868119891

= 119865119904

lowast 119863119889

[54] 294ndash86128 Length of overland flow (119871

119892

) km 119871119892

= 1198602 lowast 119871119906

[3] 016ndash026Relief characteristics

29 Height of basin mouth (119911) m 154330 Maximum height of the basin (119885) m 583931 Total basin relief (119867) m 119867 = 119885 minus 119911 [4] 429632 Relief ratio (119877

) 119877ℎ

= 119867119871119887

[7] 007ndash04433 Absolute relief (119877

119886

) m 583935 Ruggedness number (119877

119899

) 119877119899

= 119863119889

lowast (1198671000) [6] 302ndash64436 Dissection index (119863

119894119904

) 119863119894119904

= 119867119877119886

[55] 027ndash061

Table 2 Stream order-wise frequency distribution of number of streams along with their mean stream length drainage area and bifurcationratio

Stream order(119904119906

)Number ofstreams (119873

119906

)Mean stream

length (km) (119871119904119898

)Stream length ratio

(119871119906119903

)Drainage area

(km2)Bifurcation ratio

(119877119887

)1 677 285 349052 155 299 105 10029 4373 36 615 206 5032 4314 7 1160 189 1590 5145 2 2323 200 2246 3506 1 4008 173 1768 200

6 Geography Journal

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS1

2W

S14

WS4

WS6

WS8

WS2

6W

S24

WS1

0W

S3W

S9W

S15

WS1

9W

S20

WS1

1W

S2W

S13

WS1

7W

S16

WS2

7W

S23

WS5

WS2

1W

S7W

S18

WS2

5W

S22

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(a)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS9

WS2

0W

S2W

S6W

S4W

S8W

S24

WS2

6W

S17

WS1

8W

S23

WS2

5W

S3W

S15

WS1

9W

S5W

S21

WS7

WS1

0W

S14

WS1

1W

S12

WS1

3W

S16

WS2

2W

S27

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(b)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS8

WS1

0W

S19

WS6

WS2

3W

S17

WS2

4W

S27

WS1

8W

S2W

S20

WS4

WS2

1W

S7W

S16

WS9

WS1

3W

S25

WS1

5W

S3W

S5W

S11

WS2

2W

S12

WS2

6W

S14

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(c)

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS7

WS1

6W

S17

WS3

WS5

WS4

WS9

WS2

2W

S23

WS2

5W

S27

WS2

WS6

WS8

WS1

8W

S10

WS1

1W

S12

WS1

3W

S14

WS1

5W

S20

WS1

9W

S21

WS2

4W

S26

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(d)

Figure 3 Dendrogram showing groups having similar properties (a) related to drainage network (b) related to basin geometry (c) relatedto drainage texture analysis and (d) related to relief characteristics

ratio (119877119890) are found in WS3 WS5 WS17 WS19 WS21 WS23

and WS25 whereas low values are found in WS11 WS12WS13 WS14 and WS16 (Figures 4(b) and 4(c)) The relativespacing of channels in a drainage basin is expressed bytexture ratio (119877

119905) and drainage texture (119863

119905) The 119877

119905and 119863

119905

values of Supin basin range from 027 to 188 and 044 to255 respectively (Table 1) High values of 119863

119905are found in

subwatersheds located in the upper reaches of the basinwhereas low 119863

119905values are found in subwatersheds located

near the mouth of the basin (Figure 4(d))

119877119888bears a strong negative relationship with compactness

coefficient (119862119888) whereas 119865

119891has a positive relationship with

119877119890(Table 4) [28] Low values of 119877

119888(C4 and C5) (Table 3

Figure 3(b)) are associated with high relief and steep slopesand imply the youthful nature of these subwatersheds Thesubwatersheds belonging to C1 C2 and C3 (Figure 3(b))having high values of 119877

119888 119865119891 119877119890 119877119905 and 119863

119905and low values

of 119862119888are more circular in shape than those belonging to C4

and C5 (Table 3) Although the circular subwatersheds aremore efficient in the discharge of run-off [56] they are at

Geography Journal 7

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

030ndash035036ndash041042ndash047

048ndash053054ndash059

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

003ndash017018ndash032033ndash047

048ndash062063ndash076

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

020ndash035036ndash051052ndash067

068ndash083084ndash099

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

Very lowLowModerate

HighVery high

(d)

Figure 4 Map showing response of various basin geometry parameters in subwatersheds of Supin River basin (a) Circularity ratio (119877119888

) (b)Form ratio (119865

119891

) (c) Elongation ratio (119877119890

) (d) Drainage texture (119863119905

)

greater risk from flood hazard because they have a very shortlag time and high peak flows than the elongated basins [57]The elongated subwatersheds on the other hand have lowside flow for shorter duration and high main flow for longerduration and are less susceptible to flood hazard

43 Drainage Texture Analysis Texture indicates the amountof landscape dissection by a channel network and includesstream frequency (119865

119904) drainage density (119863

119889) constant of

channel maintenance (119862) length of overland flow (119871119892) and

infiltration number (119868119891) High values of 119865

119904and 119863

119889are found

in WS3 WS5 WS11 WS14 WS22 and WS25 whereas lowvalues of 119865

119904and 119863

119889are found in WS1 WS6 WS18 WS23

andWS27 (Figures 5(a) and 5(b))The119862 value of Supin basinvaries from 033 to 052 (Table 1)The 119871

119892value of Supin basin

ranges from 016 to 026 and 119868119891value ranges from 294 to 861

(Table 1) Low 119871119892values and high 119868

119891values are found inWS3

WS5 WS11 WS12 WS14 and WS22 (Figures 5(c) and 5(d))which have corresponding high 119865

119904and 119863

119889values (Figures

5(a) and 5(b))119865119904and119863

119889provide a numericalmeasurement of landscape

dissection and run-off potential [16] and bears a nega-tive relationship with 119871

119892and 119868

119891(Table 4) Subwatersheds

belonging to C3 C4 and C5 (Table 3 Figure 3(c)) withlow values of 119871

119892and 119862 have developed numerous drainage

lines on the surface The high values of 119865119904and 119863

119889in these

subwatershedsmaybe due to high relief steep slopes and alsolow permeability of the underlying rocks

44 Relief Characteristics The relief properties in morpho-metric analysis bring into consideration the influence ofaspect and height over a large basin area Relief ratio (119877

ℎ)

ruggedness number (119877119899) and dissection index (119863

119894119904) indicate

the erosion potential of the processes operating within a

8 Geography Journal

Table3

Detailedresultof

hierarchical

cluste

ranalysisforfour

morph

ometric

prop

ertie

sof

SupinRiverbasin

(drainagenetwork

basin

geom

etryd

rainagetextureanalysis

andrelief

characteris

tics)

Drainagen

etwork

ClusterID

Num

bero

fstre

am(119873119906

)To

talstre

amleng

th(K

m)

Meanstr

eam

leng

thratio

(119871119906119903119898

)Bifurcationratio

(119877119887

)Rh

ocoefficient(120588)

C13233

5425

298

294

107

C22400

3903

280

327

090

C36700

10514

291

270

108

C41250

1980

259

200

127

C52850

4877

449

335

136

Basin

geom

etry

ClusterID

Form

ratio

(119865119891

)Shapefactor

Elon

gatio

nratio

(119877119890

)Texturer

atio

(119877119905

)Circularity

ratio

(119877119888

)Drainagetexture

(119863119905

)Com

pactness

Coefficient(119862119888

)C1

035

312

066

099

047

128

147

C2057

179

085

061

047

079

147

C3056

187

084

136

042

183

157

C4007

1599

030

099

037

128

169

C5017

917

044

048

036

065

169

Drainagetexture

ClusterID

Stream

frequ

ency

(119865119904

)Drainaged

ensity(119863119889

)Con

stant

ofchannel

maintenance

(119862)

drainage

intensity

(119863119894

)Infiltrationnu

mber

(119868119891

)Leng

thof

overland

flow(119871119892

)C1

223

216

046

103

482

023

C218

9215

047

088

410

023

C3241

253

040

095

611

020

C4281

298

034

094

838

017

C5238

289

035

083

686

017

Reliefcharacteristics

ClusterID

Reliefratio

(119877ℎ

)Diss

ectio

nindex(119863119894119904

)Gradientratio

(119877119892

)Ru

ggednessnu

mber

(119877119899

)C1

026

047

024

495

C2035

043

042

353

C3029

030

041

351

C4010

032

011

452

C5029

044

017

561

Geography Journal 9

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

153ndash180181ndash208209ndash236

237ndash264265ndash292

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

78∘3799840022998400998400E

193ndash215216ndash239240ndash263

264ndash287288ndash311

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

016ndash018019ndash021022ndash024

025ndash027028ndash030

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

294ndash407408ndash521522ndash635

636ndash749750ndash863

(d)

Figure 5 Map showing response of various drainage texture parameters in subwatersheds of Supin River basin (a) Stream Frequency (119865119904

)(b) Drainage Density (119863

119889

) (c) Length of overland flow (119871119892

) (d) Infiltration Number (119868119891

)

drainage basin The total basin relief (Z-z) of Supin basin is4296m (Table 1) The 119877

ℎvalue of Supin basin ranges from

007ndash044 with high values in WS2 WS5 WS17 WS19 WS21WS23WS24WS25WS26 andWS27 and low values inWS1WS9WS10WS11WS12WS13 andWS14 (Figure 6(a))Highvalues of119877

119899and119863

119894119904are found inWS3WS4WS5WS7WS9

WS19 and WS20 which indicates the steepness of slope andhigh degree of dissection of these subwatersheds whereaslow values are found in WS10 WS11 WS12 WS13 and WS14(Figures 6(b) and 6(c)) 119877

ℎis related to the channel gradient

and has a negative relationship with basin length (Table 4)Subwatersheds having high values of 119863

119905(C3 in Figure 3(b))

also have high values of 119877119899(C1 and C5 in Figure 3(d)) since

119877119899has a positive correlation with119863

119905(Table 4)The low119863

119894119904of

Supin basin (027ndash061) indicates that the basin is moderatelydissected (Table 1)

45 Hypsometry Analysis Hypsometric curve of a drainagebasin represents the relative proportion of watershed areabelow or above a given elevation It is a measure of theerosional state or geomorphic age of a drainage basin as itrepresents the mass of drainage basin remaining above abasal plane of reference Convex hypsometric curves indicateyouthful stage S-shaped curves indicate a mature stageand concave curves indicate peneplain stage [5] Here thehypsometric curve has been treated as a cumulative proba-bility distribution and statistical moments have been used todescribe the curve quantitatively [58]The hypsometric curvehas been derived by fitting a 5th order polynomial functionwhich is as follows

119891 (119909) = 1198600+ 1198601lowast 119909 + 119860

2lowast 1199092

+ 1198603lowast 1199093

+ 1198604lowast 1199094

+ 1198605lowast 1199095

(1)

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

Child Development Research

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

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Biomedical EducationJournal of

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

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CriminologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Aging ResearchJournal of

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

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Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 6: Morphometry governs the dynamics of a drainage basin: analysis & implications

6 Geography Journal

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS1

2W

S14

WS4

WS6

WS8

WS2

6W

S24

WS1

0W

S3W

S9W

S15

WS1

9W

S20

WS1

1W

S2W

S13

WS1

7W

S16

WS2

7W

S23

WS5

WS2

1W

S7W

S18

WS2

5W

S22

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(a)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS9

WS2

0W

S2W

S6W

S4W

S8W

S24

WS2

6W

S17

WS1

8W

S23

WS2

5W

S3W

S15

WS1

9W

S5W

S21

WS7

WS1

0W

S14

WS1

1W

S12

WS1

3W

S16

WS2

2W

S27

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(b)

6

7

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS8

WS1

0W

S19

WS6

WS2

3W

S17

WS2

4W

S27

WS1

8W

S2W

S20

WS4

WS2

1W

S7W

S16

WS9

WS1

3W

S25

WS1

5W

S3W

S5W

S11

WS2

2W

S12

WS2

6W

S14

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(c)

6

5

4

3

2

1

0

Dist

ance

Watersheds

WS1

WS7

WS1

6W

S17

WS3

WS5

WS4

WS9

WS2

2W

S23

WS2

5W

S27

WS2

WS6

WS8

WS1

8W

S10

WS1

1W

S12

WS1

3W

S14

WS1

5W

S20

WS1

9W

S21

WS2

4W

S26

Cluster 1

Cluster 2

Cluster 3

Cluster 4

Cluster 5

(d)

Figure 3 Dendrogram showing groups having similar properties (a) related to drainage network (b) related to basin geometry (c) relatedto drainage texture analysis and (d) related to relief characteristics

ratio (119877119890) are found in WS3 WS5 WS17 WS19 WS21 WS23

and WS25 whereas low values are found in WS11 WS12WS13 WS14 and WS16 (Figures 4(b) and 4(c)) The relativespacing of channels in a drainage basin is expressed bytexture ratio (119877

119905) and drainage texture (119863

119905) The 119877

119905and 119863

119905

values of Supin basin range from 027 to 188 and 044 to255 respectively (Table 1) High values of 119863

119905are found in

subwatersheds located in the upper reaches of the basinwhereas low 119863

119905values are found in subwatersheds located

near the mouth of the basin (Figure 4(d))

119877119888bears a strong negative relationship with compactness

coefficient (119862119888) whereas 119865

119891has a positive relationship with

119877119890(Table 4) [28] Low values of 119877

119888(C4 and C5) (Table 3

Figure 3(b)) are associated with high relief and steep slopesand imply the youthful nature of these subwatersheds Thesubwatersheds belonging to C1 C2 and C3 (Figure 3(b))having high values of 119877

119888 119865119891 119877119890 119877119905 and 119863

119905and low values

of 119862119888are more circular in shape than those belonging to C4

and C5 (Table 3) Although the circular subwatersheds aremore efficient in the discharge of run-off [56] they are at

Geography Journal 7

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

030ndash035036ndash041042ndash047

048ndash053054ndash059

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

003ndash017018ndash032033ndash047

048ndash062063ndash076

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

020ndash035036ndash051052ndash067

068ndash083084ndash099

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

Very lowLowModerate

HighVery high

(d)

Figure 4 Map showing response of various basin geometry parameters in subwatersheds of Supin River basin (a) Circularity ratio (119877119888

) (b)Form ratio (119865

119891

) (c) Elongation ratio (119877119890

) (d) Drainage texture (119863119905

)

greater risk from flood hazard because they have a very shortlag time and high peak flows than the elongated basins [57]The elongated subwatersheds on the other hand have lowside flow for shorter duration and high main flow for longerduration and are less susceptible to flood hazard

43 Drainage Texture Analysis Texture indicates the amountof landscape dissection by a channel network and includesstream frequency (119865

119904) drainage density (119863

119889) constant of

channel maintenance (119862) length of overland flow (119871119892) and

infiltration number (119868119891) High values of 119865

119904and 119863

119889are found

in WS3 WS5 WS11 WS14 WS22 and WS25 whereas lowvalues of 119865

119904and 119863

119889are found in WS1 WS6 WS18 WS23

andWS27 (Figures 5(a) and 5(b))The119862 value of Supin basinvaries from 033 to 052 (Table 1)The 119871

119892value of Supin basin

ranges from 016 to 026 and 119868119891value ranges from 294 to 861

(Table 1) Low 119871119892values and high 119868

119891values are found inWS3

WS5 WS11 WS12 WS14 and WS22 (Figures 5(c) and 5(d))which have corresponding high 119865

119904and 119863

119889values (Figures

5(a) and 5(b))119865119904and119863

119889provide a numericalmeasurement of landscape

dissection and run-off potential [16] and bears a nega-tive relationship with 119871

119892and 119868

119891(Table 4) Subwatersheds

belonging to C3 C4 and C5 (Table 3 Figure 3(c)) withlow values of 119871

119892and 119862 have developed numerous drainage

lines on the surface The high values of 119865119904and 119863

119889in these

subwatershedsmaybe due to high relief steep slopes and alsolow permeability of the underlying rocks

44 Relief Characteristics The relief properties in morpho-metric analysis bring into consideration the influence ofaspect and height over a large basin area Relief ratio (119877

ℎ)

ruggedness number (119877119899) and dissection index (119863

119894119904) indicate

the erosion potential of the processes operating within a

8 Geography Journal

Table3

Detailedresultof

hierarchical

cluste

ranalysisforfour

morph

ometric

prop

ertie

sof

SupinRiverbasin

(drainagenetwork

basin

geom

etryd

rainagetextureanalysis

andrelief

characteris

tics)

Drainagen

etwork

ClusterID

Num

bero

fstre

am(119873119906

)To

talstre

amleng

th(K

m)

Meanstr

eam

leng

thratio

(119871119906119903119898

)Bifurcationratio

(119877119887

)Rh

ocoefficient(120588)

C13233

5425

298

294

107

C22400

3903

280

327

090

C36700

10514

291

270

108

C41250

1980

259

200

127

C52850

4877

449

335

136

Basin

geom

etry

ClusterID

Form

ratio

(119865119891

)Shapefactor

Elon

gatio

nratio

(119877119890

)Texturer

atio

(119877119905

)Circularity

ratio

(119877119888

)Drainagetexture

(119863119905

)Com

pactness

Coefficient(119862119888

)C1

035

312

066

099

047

128

147

C2057

179

085

061

047

079

147

C3056

187

084

136

042

183

157

C4007

1599

030

099

037

128

169

C5017

917

044

048

036

065

169

Drainagetexture

ClusterID

Stream

frequ

ency

(119865119904

)Drainaged

ensity(119863119889

)Con

stant

ofchannel

maintenance

(119862)

drainage

intensity

(119863119894

)Infiltrationnu

mber

(119868119891

)Leng

thof

overland

flow(119871119892

)C1

223

216

046

103

482

023

C218

9215

047

088

410

023

C3241

253

040

095

611

020

C4281

298

034

094

838

017

C5238

289

035

083

686

017

Reliefcharacteristics

ClusterID

Reliefratio

(119877ℎ

)Diss

ectio

nindex(119863119894119904

)Gradientratio

(119877119892

)Ru

ggednessnu

mber

(119877119899

)C1

026

047

024

495

C2035

043

042

353

C3029

030

041

351

C4010

032

011

452

C5029

044

017

561

Geography Journal 9

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

153ndash180181ndash208209ndash236

237ndash264265ndash292

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

78∘3799840022998400998400E

193ndash215216ndash239240ndash263

264ndash287288ndash311

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

016ndash018019ndash021022ndash024

025ndash027028ndash030

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

294ndash407408ndash521522ndash635

636ndash749750ndash863

(d)

Figure 5 Map showing response of various drainage texture parameters in subwatersheds of Supin River basin (a) Stream Frequency (119865119904

)(b) Drainage Density (119863

119889

) (c) Length of overland flow (119871119892

) (d) Infiltration Number (119868119891

)

drainage basin The total basin relief (Z-z) of Supin basin is4296m (Table 1) The 119877

ℎvalue of Supin basin ranges from

007ndash044 with high values in WS2 WS5 WS17 WS19 WS21WS23WS24WS25WS26 andWS27 and low values inWS1WS9WS10WS11WS12WS13 andWS14 (Figure 6(a))Highvalues of119877

119899and119863

119894119904are found inWS3WS4WS5WS7WS9

WS19 and WS20 which indicates the steepness of slope andhigh degree of dissection of these subwatersheds whereaslow values are found in WS10 WS11 WS12 WS13 and WS14(Figures 6(b) and 6(c)) 119877

ℎis related to the channel gradient

and has a negative relationship with basin length (Table 4)Subwatersheds having high values of 119863

119905(C3 in Figure 3(b))

also have high values of 119877119899(C1 and C5 in Figure 3(d)) since

119877119899has a positive correlation with119863

119905(Table 4)The low119863

119894119904of

Supin basin (027ndash061) indicates that the basin is moderatelydissected (Table 1)

45 Hypsometry Analysis Hypsometric curve of a drainagebasin represents the relative proportion of watershed areabelow or above a given elevation It is a measure of theerosional state or geomorphic age of a drainage basin as itrepresents the mass of drainage basin remaining above abasal plane of reference Convex hypsometric curves indicateyouthful stage S-shaped curves indicate a mature stageand concave curves indicate peneplain stage [5] Here thehypsometric curve has been treated as a cumulative proba-bility distribution and statistical moments have been used todescribe the curve quantitatively [58]The hypsometric curvehas been derived by fitting a 5th order polynomial functionwhich is as follows

119891 (119909) = 1198600+ 1198601lowast 119909 + 119860

2lowast 1199092

+ 1198603lowast 1199093

+ 1198604lowast 1199094

+ 1198605lowast 1199095

(1)

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

CriminologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Aging ResearchJournal of

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

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Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 7: Morphometry governs the dynamics of a drainage basin: analysis & implications

Geography Journal 7

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

030ndash035036ndash041042ndash047

048ndash053054ndash059

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

003ndash017018ndash032033ndash047

048ndash062063ndash076

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

020ndash035036ndash051052ndash067

068ndash083084ndash099

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

Very lowLowModerate

HighVery high

(d)

Figure 4 Map showing response of various basin geometry parameters in subwatersheds of Supin River basin (a) Circularity ratio (119877119888

) (b)Form ratio (119865

119891

) (c) Elongation ratio (119877119890

) (d) Drainage texture (119863119905

)

greater risk from flood hazard because they have a very shortlag time and high peak flows than the elongated basins [57]The elongated subwatersheds on the other hand have lowside flow for shorter duration and high main flow for longerduration and are less susceptible to flood hazard

43 Drainage Texture Analysis Texture indicates the amountof landscape dissection by a channel network and includesstream frequency (119865

119904) drainage density (119863

119889) constant of

channel maintenance (119862) length of overland flow (119871119892) and

infiltration number (119868119891) High values of 119865

119904and 119863

119889are found

in WS3 WS5 WS11 WS14 WS22 and WS25 whereas lowvalues of 119865

119904and 119863

119889are found in WS1 WS6 WS18 WS23

andWS27 (Figures 5(a) and 5(b))The119862 value of Supin basinvaries from 033 to 052 (Table 1)The 119871

119892value of Supin basin

ranges from 016 to 026 and 119868119891value ranges from 294 to 861

(Table 1) Low 119871119892values and high 119868

119891values are found inWS3

WS5 WS11 WS12 WS14 and WS22 (Figures 5(c) and 5(d))which have corresponding high 119865

119904and 119863

119889values (Figures

5(a) and 5(b))119865119904and119863

119889provide a numericalmeasurement of landscape

dissection and run-off potential [16] and bears a nega-tive relationship with 119871

119892and 119868

119891(Table 4) Subwatersheds

belonging to C3 C4 and C5 (Table 3 Figure 3(c)) withlow values of 119871

119892and 119862 have developed numerous drainage

lines on the surface The high values of 119865119904and 119863

119889in these

subwatershedsmaybe due to high relief steep slopes and alsolow permeability of the underlying rocks

44 Relief Characteristics The relief properties in morpho-metric analysis bring into consideration the influence ofaspect and height over a large basin area Relief ratio (119877

ℎ)

ruggedness number (119877119899) and dissection index (119863

119894119904) indicate

the erosion potential of the processes operating within a

8 Geography Journal

Table3

Detailedresultof

hierarchical

cluste

ranalysisforfour

morph

ometric

prop

ertie

sof

SupinRiverbasin

(drainagenetwork

basin

geom

etryd

rainagetextureanalysis

andrelief

characteris

tics)

Drainagen

etwork

ClusterID

Num

bero

fstre

am(119873119906

)To

talstre

amleng

th(K

m)

Meanstr

eam

leng

thratio

(119871119906119903119898

)Bifurcationratio

(119877119887

)Rh

ocoefficient(120588)

C13233

5425

298

294

107

C22400

3903

280

327

090

C36700

10514

291

270

108

C41250

1980

259

200

127

C52850

4877

449

335

136

Basin

geom

etry

ClusterID

Form

ratio

(119865119891

)Shapefactor

Elon

gatio

nratio

(119877119890

)Texturer

atio

(119877119905

)Circularity

ratio

(119877119888

)Drainagetexture

(119863119905

)Com

pactness

Coefficient(119862119888

)C1

035

312

066

099

047

128

147

C2057

179

085

061

047

079

147

C3056

187

084

136

042

183

157

C4007

1599

030

099

037

128

169

C5017

917

044

048

036

065

169

Drainagetexture

ClusterID

Stream

frequ

ency

(119865119904

)Drainaged

ensity(119863119889

)Con

stant

ofchannel

maintenance

(119862)

drainage

intensity

(119863119894

)Infiltrationnu

mber

(119868119891

)Leng

thof

overland

flow(119871119892

)C1

223

216

046

103

482

023

C218

9215

047

088

410

023

C3241

253

040

095

611

020

C4281

298

034

094

838

017

C5238

289

035

083

686

017

Reliefcharacteristics

ClusterID

Reliefratio

(119877ℎ

)Diss

ectio

nindex(119863119894119904

)Gradientratio

(119877119892

)Ru

ggednessnu

mber

(119877119899

)C1

026

047

024

495

C2035

043

042

353

C3029

030

041

351

C4010

032

011

452

C5029

044

017

561

Geography Journal 9

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

153ndash180181ndash208209ndash236

237ndash264265ndash292

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

78∘3799840022998400998400E

193ndash215216ndash239240ndash263

264ndash287288ndash311

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

016ndash018019ndash021022ndash024

025ndash027028ndash030

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

294ndash407408ndash521522ndash635

636ndash749750ndash863

(d)

Figure 5 Map showing response of various drainage texture parameters in subwatersheds of Supin River basin (a) Stream Frequency (119865119904

)(b) Drainage Density (119863

119889

) (c) Length of overland flow (119871119892

) (d) Infiltration Number (119868119891

)

drainage basin The total basin relief (Z-z) of Supin basin is4296m (Table 1) The 119877

ℎvalue of Supin basin ranges from

007ndash044 with high values in WS2 WS5 WS17 WS19 WS21WS23WS24WS25WS26 andWS27 and low values inWS1WS9WS10WS11WS12WS13 andWS14 (Figure 6(a))Highvalues of119877

119899and119863

119894119904are found inWS3WS4WS5WS7WS9

WS19 and WS20 which indicates the steepness of slope andhigh degree of dissection of these subwatersheds whereaslow values are found in WS10 WS11 WS12 WS13 and WS14(Figures 6(b) and 6(c)) 119877

ℎis related to the channel gradient

and has a negative relationship with basin length (Table 4)Subwatersheds having high values of 119863

119905(C3 in Figure 3(b))

also have high values of 119877119899(C1 and C5 in Figure 3(d)) since

119877119899has a positive correlation with119863

119905(Table 4)The low119863

119894119904of

Supin basin (027ndash061) indicates that the basin is moderatelydissected (Table 1)

45 Hypsometry Analysis Hypsometric curve of a drainagebasin represents the relative proportion of watershed areabelow or above a given elevation It is a measure of theerosional state or geomorphic age of a drainage basin as itrepresents the mass of drainage basin remaining above abasal plane of reference Convex hypsometric curves indicateyouthful stage S-shaped curves indicate a mature stageand concave curves indicate peneplain stage [5] Here thehypsometric curve has been treated as a cumulative proba-bility distribution and statistical moments have been used todescribe the curve quantitatively [58]The hypsometric curvehas been derived by fitting a 5th order polynomial functionwhich is as follows

119891 (119909) = 1198600+ 1198601lowast 119909 + 119860

2lowast 1199092

+ 1198603lowast 1199093

+ 1198604lowast 1199094

+ 1198605lowast 1199095

(1)

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

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Economics Research International

Page 8: Morphometry governs the dynamics of a drainage basin: analysis & implications

8 Geography Journal

Table3

Detailedresultof

hierarchical

cluste

ranalysisforfour

morph

ometric

prop

ertie

sof

SupinRiverbasin

(drainagenetwork

basin

geom

etryd

rainagetextureanalysis

andrelief

characteris

tics)

Drainagen

etwork

ClusterID

Num

bero

fstre

am(119873119906

)To

talstre

amleng

th(K

m)

Meanstr

eam

leng

thratio

(119871119906119903119898

)Bifurcationratio

(119877119887

)Rh

ocoefficient(120588)

C13233

5425

298

294

107

C22400

3903

280

327

090

C36700

10514

291

270

108

C41250

1980

259

200

127

C52850

4877

449

335

136

Basin

geom

etry

ClusterID

Form

ratio

(119865119891

)Shapefactor

Elon

gatio

nratio

(119877119890

)Texturer

atio

(119877119905

)Circularity

ratio

(119877119888

)Drainagetexture

(119863119905

)Com

pactness

Coefficient(119862119888

)C1

035

312

066

099

047

128

147

C2057

179

085

061

047

079

147

C3056

187

084

136

042

183

157

C4007

1599

030

099

037

128

169

C5017

917

044

048

036

065

169

Drainagetexture

ClusterID

Stream

frequ

ency

(119865119904

)Drainaged

ensity(119863119889

)Con

stant

ofchannel

maintenance

(119862)

drainage

intensity

(119863119894

)Infiltrationnu

mber

(119868119891

)Leng

thof

overland

flow(119871119892

)C1

223

216

046

103

482

023

C218

9215

047

088

410

023

C3241

253

040

095

611

020

C4281

298

034

094

838

017

C5238

289

035

083

686

017

Reliefcharacteristics

ClusterID

Reliefratio

(119877ℎ

)Diss

ectio

nindex(119863119894119904

)Gradientratio

(119877119892

)Ru

ggednessnu

mber

(119877119899

)C1

026

047

024

495

C2035

043

042

353

C3029

030

041

351

C4010

032

011

452

C5029

044

017

561

Geography Journal 9

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

153ndash180181ndash208209ndash236

237ndash264265ndash292

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

78∘3799840022998400998400E

193ndash215216ndash239240ndash263

264ndash287288ndash311

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

016ndash018019ndash021022ndash024

025ndash027028ndash030

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

294ndash407408ndash521522ndash635

636ndash749750ndash863

(d)

Figure 5 Map showing response of various drainage texture parameters in subwatersheds of Supin River basin (a) Stream Frequency (119865119904

)(b) Drainage Density (119863

119889

) (c) Length of overland flow (119871119892

) (d) Infiltration Number (119868119891

)

drainage basin The total basin relief (Z-z) of Supin basin is4296m (Table 1) The 119877

ℎvalue of Supin basin ranges from

007ndash044 with high values in WS2 WS5 WS17 WS19 WS21WS23WS24WS25WS26 andWS27 and low values inWS1WS9WS10WS11WS12WS13 andWS14 (Figure 6(a))Highvalues of119877

119899and119863

119894119904are found inWS3WS4WS5WS7WS9

WS19 and WS20 which indicates the steepness of slope andhigh degree of dissection of these subwatersheds whereaslow values are found in WS10 WS11 WS12 WS13 and WS14(Figures 6(b) and 6(c)) 119877

ℎis related to the channel gradient

and has a negative relationship with basin length (Table 4)Subwatersheds having high values of 119863

119905(C3 in Figure 3(b))

also have high values of 119877119899(C1 and C5 in Figure 3(d)) since

119877119899has a positive correlation with119863

119905(Table 4)The low119863

119894119904of

Supin basin (027ndash061) indicates that the basin is moderatelydissected (Table 1)

45 Hypsometry Analysis Hypsometric curve of a drainagebasin represents the relative proportion of watershed areabelow or above a given elevation It is a measure of theerosional state or geomorphic age of a drainage basin as itrepresents the mass of drainage basin remaining above abasal plane of reference Convex hypsometric curves indicateyouthful stage S-shaped curves indicate a mature stageand concave curves indicate peneplain stage [5] Here thehypsometric curve has been treated as a cumulative proba-bility distribution and statistical moments have been used todescribe the curve quantitatively [58]The hypsometric curvehas been derived by fitting a 5th order polynomial functionwhich is as follows

119891 (119909) = 1198600+ 1198601lowast 119909 + 119860

2lowast 1199092

+ 1198603lowast 1199093

+ 1198604lowast 1199094

+ 1198605lowast 1199095

(1)

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

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Research and TreatmentSchizophrenia

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Geography Journal

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Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 9: Morphometry governs the dynamics of a drainage basin: analysis & implications

Geography Journal 9

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

153ndash180181ndash208209ndash236

237ndash264265ndash292

(a)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N31

∘ 0998400 1

3998400998400N

78∘3799840022998400998400E

193ndash215216ndash239240ndash263

264ndash287288ndash311

(b)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

016ndash018019ndash021022ndash024

025ndash027028ndash030

(c)

0 25 5 7510(km)

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘16998400E 78∘24998400E 78∘32998400E 78∘3799840022998400998400E

294ndash407408ndash521522ndash635

636ndash749750ndash863

(d)

Figure 5 Map showing response of various drainage texture parameters in subwatersheds of Supin River basin (a) Stream Frequency (119865119904

)(b) Drainage Density (119863

119889

) (c) Length of overland flow (119871119892

) (d) Infiltration Number (119868119891

)

drainage basin The total basin relief (Z-z) of Supin basin is4296m (Table 1) The 119877

ℎvalue of Supin basin ranges from

007ndash044 with high values in WS2 WS5 WS17 WS19 WS21WS23WS24WS25WS26 andWS27 and low values inWS1WS9WS10WS11WS12WS13 andWS14 (Figure 6(a))Highvalues of119877

119899and119863

119894119904are found inWS3WS4WS5WS7WS9

WS19 and WS20 which indicates the steepness of slope andhigh degree of dissection of these subwatersheds whereaslow values are found in WS10 WS11 WS12 WS13 and WS14(Figures 6(b) and 6(c)) 119877

ℎis related to the channel gradient

and has a negative relationship with basin length (Table 4)Subwatersheds having high values of 119863

119905(C3 in Figure 3(b))

also have high values of 119877119899(C1 and C5 in Figure 3(d)) since

119877119899has a positive correlation with119863

119905(Table 4)The low119863

119894119904of

Supin basin (027ndash061) indicates that the basin is moderatelydissected (Table 1)

45 Hypsometry Analysis Hypsometric curve of a drainagebasin represents the relative proportion of watershed areabelow or above a given elevation It is a measure of theerosional state or geomorphic age of a drainage basin as itrepresents the mass of drainage basin remaining above abasal plane of reference Convex hypsometric curves indicateyouthful stage S-shaped curves indicate a mature stageand concave curves indicate peneplain stage [5] Here thehypsometric curve has been treated as a cumulative proba-bility distribution and statistical moments have been used todescribe the curve quantitatively [58]The hypsometric curvehas been derived by fitting a 5th order polynomial functionwhich is as follows

119891 (119909) = 1198600+ 1198601lowast 119909 + 119860

2lowast 1199092

+ 1198603lowast 1199093

+ 1198604lowast 1199094

+ 1198605lowast 1199095

(1)

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

Child Development Research

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

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Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

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CriminologyJournal of

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Aging ResearchJournal of

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Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

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Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

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Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 10: Morphometry governs the dynamics of a drainage basin: analysis & implications

10 Geography Journal

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

070ndash014015ndash022023ndash030

031ndash038039ndash046

0 25 5 7510(km)

(a)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

30ndash368369ndash437438ndash506

507ndash575576ndash644

0 25 5 7510(km)

(b)

78∘16998400E 78∘24998400E 78∘32998400E

78∘16998400E 78∘24998400E 78∘32998400E

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 1

4998400 6998400998400

N31

∘ 10998400 N

31∘ 5

998400 N

31∘ 0

998400 13998400998400

N

78∘3799840022998400998400E

025ndash032033ndash040041ndash048

049ndash056057ndash064

0 25 5 7510(km)

(c)

Figure 6 Map showing response of various parameters of relief characteristics in subwatersheds of Supin River basin (a) Relief Ratio (119877ℎ

)(b) Ruggedness Number (119877

119899

) (c) Dissection Index (119863119894119904

)

Table 4 Linear correlation among selected morphometric parameters of Supin River basin along with the calculated 119905 and corresponding Pvalues

Variables (119909axismdash119910axis) Linear equation 1199032

|119905| P valueCircularity ratiomdashcompactness coefficient y = minus05024x + 12084 098 3574 0Form ratiomdashelongation ratio y = 10564x + 02624 097 2985 0Drainage densitymdashstream frequency y = 08838x + 04434 069 754 689E minus 08Constant of channel maintenancemdashstream frequency y = minus48551x + 43025 071 786 327E minus 08Constant of channel maintenancemdashdrainage density y = minus60512x + 49628 098 3768 0Length of overland flowmdashstream frequency y = minus00733x + 03741 071 786 327E minus 08Length of overland flowmdashdrainage density y = minus00812x + 04065 098 3768 0Infiltration numbermdashdrainage density y = 02144x + 12349 092 1690 333E minus 15Number of streams of all ordermdashdrainage texture y = 0021x + 05454 094 1911 222E minus 16Relief ratiomdashbasin length y = minus44247x + 20059 082 1053 113E minus 10Drainage texturemdashruggedness number y = 16296x + 25781 066 691 305E minus 07

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

Child Development Research

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Biomedical EducationJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

CriminologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Aging ResearchJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 11: Morphometry governs the dynamics of a drainage basin: analysis & implications

Geography Journal 11

10

09

08

07

06

05

04

03

02

01

0000 01 02 03 04 05 06 07 08 09 10

Relat

ive h

eigh

t (hH

)

Relative area (aA)

HI = 058

Parameters Value Standard errorA0A1

A2

A3A4

A5

10062721minus044984000446

minus204E minus 04minus367E minus 07142E minus 08

07324901358600083

207E minus 04224E minus 06879E minus 09

Adjusted R2 = 099953

Reduced 1205942 = 287256E minus 5

(a)

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

78∘12998400E 78∘16998400E 78∘20998400E 78∘24998400E 78∘28998400E 78∘32998400E 78∘36998400E

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

31∘ 1

2998400 N31

∘ 8998400 N

31∘ 4

998400 N31

∘ 0998400 N

Hypsometric integralHypsometry

036ndash040041ndash047048ndash051

052ndash055056ndash062

WS27

19 WS

1 WS2 WS

3 WS

4 WS

5 WS

6 WS

7 WS

8 WS

9 WS

10 WS11 WS

12 WS

13 WS

14 WS15 WS

16 WS

17 WS

18 WS

20 WS

21 WS

22 WS23 WS

24 WS

25 WS

26 WS

(b)

Figure 7 Analysis of hypsometric integral (HI) as an index of basin maturity (a) Hypsometric curve of Supin River basin along with theestimated coefficients of 5th order polynomial function (b) Thematic map showing the variation of Hypsometric Integral (HI) among thesubwatersheds of Supin River basin

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

Child Development Research

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Biomedical EducationJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

CriminologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Aging ResearchJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 12: Morphometry governs the dynamics of a drainage basin: analysis & implications

12 Geography Journal

The estimated coefficients are 1198600 1198601 1198602 1198603 1198604 and 119860

5

which can be obtained from regression of the hypsometriccurve (Figure 7(a)) The statistical moments of hypsometriccurve include skewness of the hypsometric curve (minus0474)kurtosis of the hypsometric curve (2495) skewness of thehypsometric density function (minus0413) and kurtosis of thehypsometric density function (2392) These are collectivelyknown as the derived parameters of hypsometric curve Thearea below the hypsometric curve is known as the hypsomet-ric integral (HI) and is calculated using the following formula

HI = (119898 minus 119897)

(ℎ minus 119897)

(2)

where HI is hypsometric integral 119898 is mean elevation ℎ ismaximumelevation and 119897 isminimumelevationHI has beencalculated for all the subwatersheds of Supin River basinTheconvex hypsometric curve (Figure 7(a)) of Supin River basinshows HI value of 058 The HI values for the subwatershedsrange from 036 to 062 (Figure 7(b))

The derived parameters of hypsometric curve are sen-sitive to subtle changes in overall basin slope and basindevelopment as the mass is removed by erosion over a longgeological time period [59] Present study shows that headward development of the main stream and its tributariesproduce high values for hypsometric skewness [59] On theother hand the density function of the curve is closely relatedto rates of change in overall basin slope and tendency towardgeomorphic equilibrium [59] Density skewness interpretsthe behaviour of slope change in the basin Positive valueof density skewness is an indication of fluvial dominanceover the landforms of this regionHypsometric Kurtosis valueconfirms that erosional processes are dominant on both theupper and lower reaches of the basin [60] Mid basin slopeis moderate as the density Kurtosis value is platykurtic innature The HI value of Supin basin (058) indicates thatthe basin is at a youthful stage of development [6] A fewsubwatersheds showing low HI values (Figure 7(b)) haveattained relatively mature stage and are in a state of reachingdynamic equilibrium Most of the subwatersheds showinghigh HI are located on the hanging wall of MCT and MT(Figures 2(b) and 7(b)) which also indicate a subsurfacecontrol on the maturity of the Supin River basin

5 Conclusion

There is a structural influence on drainage developmentwith trellised pattern being the dominant drainage patternChannel extension in this mountainous region takes placemainly through headward erosion which is characteristicof basins in early mature stage of development The areais well drained by the 1st and 2nd order streams havinghighest drainage area which produces a rugged terrainmoderately dissected by deep incised valleys The high reliefandmoderate permeability of the surface in relatively circularsubwatersheds with high circularity ratio generates high run-offs which make these subwatersheds more susceptible tofloods soil erosion and debris flow In a few elongated sub-watersheds the management of flood flow is easier because of

the low side flow for shorter duration and smaller peak flowsfor longer duration

Fourth and 5th order streams flowing along regional faultzones may generate landslides due to increase in the level oferosion In addition an increase in the incision of the streamsalong the weak and fractured fault zones results in increase inthe sediment load of the streams which in turn may triggerflash floods Sudden topographic breaks along the 6th orderstream profile of the basin at multiple places influence thetectonomorphic landforms developed along Supin River

The significance of studying morphometric properties ofSupin basin lies in the fact that it will help in future watershedmanagement and hazard management studies Due to themountainous nature of the terrain the region suffers fromfrequent flash floods and landslides Hence such type of stud-ies will provide knowledge and database for decision makingfor strategic planning and delineation of prioritised hazardmanagement zones Through understanding of the relationbetween the basin morphometry and subsurface structurethe authors conclude that the lower middle portion of thebasin underlain by Lesser Himalayan schists and granitesare likely to have high groundwater potential which may beharnessed to help the people of the nearby villages Moreoverit may also help in assessing the groundwater potential ofthe region and delineating effective water harvesting sitesThese morphometric techniques may be applied to othermountainous river basins around the globe Morphometricanalysis thus has a wider significance in watershed priori-tisation and management soil erosion studies groundwaterpotential assessment and flood hazard risk reduction in theSupin watershed that forms an important tributary of theTons River basin

Conflict of Interests

The authors declare that there is no conflict of interestsregarding the publication of this paper

Acknowledgments

Assistance from the postgraduate students of the Depart-ment of Geography University of Calcutta during fieldwork was gratefully acknowledged Infrastructural facilitieswere provided by the Department of Geology University ofCalcutta and the Remote Sensing amp GIS Department of theVidyasagar University Thanks are due to Professor SunandoBandyopadhyay Department of Geography University ofCalcutta Comments from the anonymous reviewers aregratefully acknowledged

References

[1] J I Clarke ldquoMorphometry from mapsrdquo in Essays in Geomor-phology G H Dury Ed pp 235ndash274 Elsevier New York NYUSA 1966

[2] R E Horton ldquoDrainage basin characteristicsrdquo Transactions ofAmerican Geophysics Union vol 13 pp 350ndash361 1932

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

Child Development Research

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Biomedical EducationJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

CriminologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Aging ResearchJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 13: Morphometry governs the dynamics of a drainage basin: analysis & implications

Geography Journal 13

[3] R E Horton ldquoErosional development of streams and theirdrainage basins hydrophysical approach to quantitative mor-phologyrdquoGeological Society of America Bulletin vol 56 pp 275ndash370 1945

[4] A N Strahler ldquoHypsometric analysis of erosional topographyrdquoBulletin of the Geological Society of America vol 63 pp 1117ndash1142 1952

[5] A N Strahler ldquoQuantitative analysis of watershed geomorphol-ogyrdquo Transactions of American Geophysics Union vol 38 pp913ndash920 1957

[6] A N Strahler ldquoQuantitative geomorphology of drainage basinand channel networksrdquo inHandbook of Applied Hydrology V TChow Ed McGraw Hill New York NY USA 1964

[7] S A Schumm ldquoEvolution of drainage systems and slopes inbadlands at Perth Amboy New Jerseyrdquo Bulletin of the GeologicalSociety of America vol 67 pp 597ndash646 1956

[8] R J Chorley andMAMorgan ldquoComparison ofmorphometricfeatures UnakaMountains Tennessee andNorth Carolina andDartmoor EnglandrdquoGeological Society of America Bulletin vol73 no 1 pp 17ndash34 1962

[9] P W Williams ldquoMorphometric analysis of polygonal karst inNew GuineardquoGeological Society of America Bulletin vol 83 no3 pp 761ndash796 1972

[10] L M Mesa ldquoMorphometric analysis of a subtropical Andeanbasin (Tucuman Argentina)rdquo Environmental Geology vol 50no 8 pp 1235ndash1242 2006

[11] P Lyew-Ayee H A Viles and G E Tucker ldquoThe use of GIS-based digital morphometric techniques in the study of cockpitkarstrdquo Earth Surface Processes and Landforms vol 32 no 2 pp165ndash179 2007

[12] T B Altin and B N Altin ldquoDevelopment and morphometry ofdrainage network in volcanic terrain Central Anatolia TurkeyrdquoGeomorphology vol 125 no 4 pp 485ndash503 2011

[13] M Buccolini L Coco C Cappadonia and E RotiglianoldquoRelationships between a new slope morphometric index andcalanchi erosion in northern Sicily Italyrdquo Geomorphology vol149-150 pp 41ndash48 2012

[14] S S Vittala S Govindaih and H H Gowda ldquoMorphometricanalysis of sub-watershed in the Pavada area of Tumkur districtSouth India using remote sensing and GIS techniquesrdquo Journalof Indian Society of Remote Sensing vol 32 no 4 pp 351ndash3622004

[15] R Chopra R D Dhiman and P K Sharma ldquoMorphometricanalysis of sub-watersheds in Gurdaspur district Punjab usingremote sensing and GIS techniquesrdquo Journal of Indian Society ofRemote Sensing vol 33 no 4 pp 531ndash539 2005

[16] H Vijith and R Sateesh ldquoGIS based morphometric analysis oftwomajor upland sub-watersheds ofMeenachil river in KeralardquoJournal of the Indian Society of Remote Sensing vol 34 no 2 pp181ndash185 2006

[17] M Rudraiah S Govindaiah and S S Vittala ldquoMorphometryusing remote sensing and GIS techniques in the sub-basins ofKagna river basin Gulburga district Karnataka Indiardquo Journalof the Indian Society of Remote Sensing vol 36 no 4 pp 351ndash360 2008

[18] M Bagyaraj and B Gurugnanam ldquoSignificance of morphom-etry studies soil characteristics erosion phenomena and land-form processes using remote Sensing and GIS for KodaikanalHills a global biodiversity hotpot in Western Ghats DindigulDistrict Tamil Nadu South Indiardquo Research Journal of Environ-mental and Earth Sciences vol 3 no 3 pp 221ndash233 2011

[19] I Malik S Bhat and N A Kuchay ldquoWatershed based drainagemorphometric analysis of Lidder catchment in Kashmir valleyusing Geographical Information Systemrdquo Recent Research inScience and Technology vol 3 no 4 pp 118ndash126 2011

[20] J Thomas S Joseph K P Thrivikramji and G Abe ldquoMor-phometric analysis of the drainage system and its hydrologicalimplications in the rain shadow regions Kerala Indiardquo Journalof Geographical Sciences vol 21 no 6 pp 1077ndash1088 2011

[21] N S Magesh K V Jitheshlal N Chandrasekar and K V JinildquoGIS based morphometric evaluation of Chimmini andMupilywatersheds parts of Western Ghats Thrissur District KeralaIndiardquo Earth Science Information vol 5 no 2 pp 111ndash121 2012

[22] P Singh J K Thakur and U C Singh ldquoMorphometric analysisof Morar River Basin Madhya Pradesh India using remotesensing and GIS techniquesrdquo Environmental Earth Science vol68 no 7 pp 1967ndash1977 2012

[23] K Pareta and U Pareta ldquoQuantitative geomorphological analy-sis of a watershed of Ravi River Basin HP Indiardquo InternationalJournal of Remote Sensing and GIS vol 1 no 1 pp 41ndash56 2012

[24] S K Nag and S Chakraborty ldquoInfluence of rock types andstructures in the development of drainage network in hard rockareardquo Journal of Indian Society of Remote Sensing vol 31 no 1pp 25ndash35 2003

[25] J D Das Y Shujat and A K Saraf ldquoSpatial technologiesin deriving the morphotectonic characteristics of tectonicallyactive Western Tripura Region Northeast Indiardquo Journal of theIndian Society of Remote Sensing vol 39 no 2 pp 249ndash258 2011

[26] R Bali K K Agarwal S Nawaz Ali S K Rastogi andK Krishna ldquoDrainage morphometry of Himalayan Glacio-fluvial basin India hydrologic and neotectonic implicationsrdquoEnvironmental Earth Sciences vol 66 no 4 pp 1163ndash1174 2012

[27] A Demoulin ldquoBasin and river profile morphometry a newindex with a high potential for relative dating of tectonic upliftrdquoGeomorphology vol 126 no 1-2 pp 97ndash107 2011

[28] P D Sreedevi K Subrahmanyam and S Ahmed ldquoThe sig-nificance of morphometric analysis for obtaining groundwaterpotential zones in a structurally controlled terrainrdquo Environ-mental Geology vol 47 no 3 pp 412ndash420 2005

[29] K Narendra and K N Rao ldquoMorphometry of theMeghadrigedda watershed Visakhapatnam District AndhraPradesh using GIS and Resourcesat datardquo Journal of IndianSociety of Remote Sensing vol 34 no 2 pp 102ndash110 2006

[30] KAvinash K S Jayappa andBDeepika ldquoPrioritization of sub-basins based on geomorphology and morphometricanalysisusing remote sensing and geographic informationsystem (GIS)techniquesrdquo Geocarto International vol 26 no 7 pp 569ndash5922011

[31] A Mishra D P Dubey and R N Tiwari ldquoMorphometricanalysis of Tons basin Rewa District Madhya Pradesh basedon watershed approachrdquo Earth Science India vol 4 no 3 pp171ndash180 2011

[32] I Jasmin and P Mallikarjuna ldquoMorphometric analysis ofAraniar river basin using remote sensing and geographicalinformation system in the assessment of groundwater poten-tialrdquo Arab Journal of Geosciences vol 6 no 10 pp 3683ndash36922013

[33] A Javed M Y Khanday and S Rais ldquoWatershed prioritizationusing morphometric and land useland cover parameters aremote sensing and GIS based approachrdquo Journal of the Geo-logical Society of India vol 78 no 1 pp 63ndash75 2011

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

Child Development Research

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Biomedical EducationJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

CriminologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Aging ResearchJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

Page 14: Morphometry governs the dynamics of a drainage basin: analysis & implications

14 Geography Journal

[34] P C Patton and V R Baker ldquoMorphometry and floods in smalldrainage basins subject to diverse hydrogeomorphic controlsrdquoWater Resources Research vol 12 no 5 pp 941ndash952 1976

[35] M Diakakis ldquoA method for flood hazard mapping based onbasin morphometry application in two catchments in GreecerdquoNatural Hazards vol 56 no 3 pp 803ndash814 2011

[36] H B Wakode D Dutta V R Desai K Baier and R AzzamldquoMorphometric analysis of the upper catchment of Kosi Riverusing GIS techniquesrdquo Arabian Journal of Geosciences vol 6no 2 pp 395ndash408 2011

[37] S A Romshoo S A Bhat and I Rashid ldquoGeoinformatics forassessing the morphometric control on hydrological responseat watershed scale in the Upper Indus basinrdquo Journal of EarthSystem Science vol 121 no 3 pp 659ndash686 2012

[38] A Yin ldquoCenozoic tectonic evolution of the Himalayan orogenas constrained by along-strike variation of structural geometryexhumation history and foreland sedimentationrdquoEarth-ScienceReviews vol 76 no 1-2 pp 1ndash131 2006

[39] K S Valdiya Geology of the Kumaon Lesser Himalaya WadiaInstitute of Himalaya Uttarakhand India 1980

[40] P Srivastava and G Mitra ldquoThrust geometries and deep struc-ture of the outer and lesser Himalaya Kumaon and Garhwal(India) implications for evolution of the Himalayan fold-and-thrust beltrdquo Tectonics vol 13 no 1 pp 89ndash109 1994

[41] P G DeCelles G E Gehrels J Quade and T P Ojha ldquoEocene-early Miocene foreland basin development and the history ofHimalayan thrusting western and central NepalrdquoTectonics vol17 no 5 pp 741ndash765 1998

[42] P G DeCelles D M Robinson and G Zandt ldquoImplicationsof shortening in the Himalayan fold-thrust belt for uplift of theTibetan Plateaurdquo Tectonics vol 21 no 6 pp 1ndash25 2002

[43] O N Pearson and P G DeCelles ldquoStructural geologyand regional tectonic significance of the Ramgarh thrustHimalayan fold-thrust belt of Nepalrdquo Tectonics vol 24 no 4Article ID TC4008 pp 1ndash26 2005

[44] N McQuarrie D Robinson S Long et al ldquoPreliminarystratigraphic and structural architecture of Bhutan implicationsfor the along strike architecture of theHimalayan systemrdquoEarthand Planetary Science Letters vol 272 no 1-2 pp 105ndash117 2008

[45] J C Vannay and BGrasemann ldquoHimalayan invertedmetamor-phism and syn-convergence extension as a consequence of ageneral shear extrusionrdquo Geological Magazine vol 138 no 3pp 253ndash276 2001

[46] K S Valdiya ldquoReactivation of terrane-defining boundarythrusts in central sector of the Himalaya implicationsrdquo CurrentScience vol 81 no 11 pp 1418ndash1431 2001

[47] R Kumar S K Ghosh R K Mazari and S J SangodeldquoTectonic impact on the fluvial deposits of Plio-PleistoceneHimalayan foreland basin Indiardquo SedimentaryGeology vol 158no 3-4 pp 209ndash234 2003

[48] H K Sachan M J Kohn A Saxena and S L Corrie ldquoTheMalari leucogranite Garhwal Himalaya Northern India chem-istry age and tectonic implicationsrdquo Bulletin of the GeologicalSociety of America vol 122 no 11-12 pp 1865ndash1876 2010

[49] J E Mueller ldquoAn introduction to the hydraulic and topographicsinuosity indexesrdquo Annals of the Association of American Geog-raphers vol 58 no 2 pp 371ndash385 1968

[50] H Gravelius Flusskunde Goschenrsquosche VerlagshandlungBerlin Germany 1941

[51] M A Melton An Analysis of the Relations among Elementsof Climate Surface Properties and Geomorphology ColumbiaUniversity New York NY USA 1957

[52] J S Smart and A J Surkan ldquoThe relation between mainstreamlength and area in drainage basinsrdquo Water Resources Researchvol 3 no 4 pp 963ndash974 1967

[53] P E Black ldquoHydrograph responses to geomorphic modelwatershed characteristics and precipitation variablesrdquo Journal ofHydrology vol 17 no 4 pp 309ndash329 1972

[54] A Faniran ldquoThe index of drainage intensity -a provisional newdrainage factorrdquo Australian Journal of Science vol 31 pp 328ndash330 1968

[55] S Singh and A Dubey Geo-environmental Planning of Water-sheds in India vol 28 Chugh Allahabad India 1994

[56] S Singh and M C Singh ldquoMorphometric analysis of Kanharriver basinrdquo National Geographical Journal of India vol 43 no1 pp 31ndash43 1997

[57] D Waugh Geography An Integrated Approach Nelson NewYork NY USA 1995

[58] J M Harlin ldquoStatistical moments of the hypsometric curve andits density functionrdquo Journal of the International Association forMathematical Geology vol 10 no 1 pp 59ndash72 1978

[59] J M Harlin ldquoThe effect of precipitation variability on drainagebasin morphometryrdquo American Journal of Science vol 280 no8 pp 812ndash825 1980

[60] W Luo ldquoQuantifying groundwater-sapping landforms witha hypsometric techniquerdquo Journal of Geophysical Research EPlanets vol 105 no 1 pp 1685ndash1694 2000

Submit your manuscripts athttpwwwhindawicom

Child Development Research

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Biomedical EducationJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

CriminologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Aging ResearchJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International

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Child Development Research

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Education Research International

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Biomedical EducationJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Psychiatry Journal

ArchaeologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AnthropologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentSchizophrenia

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Urban Studies Research

Population ResearchInternational Journal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

CriminologyJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Aging ResearchJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

NursingResearch and Practice

Current Gerontologyamp Geriatrics Research

Hindawi Publishing Corporationhttpwwwhindawicom

Volume 2014

Sleep DisordersHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

AddictionJournal of

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Depression Research and TreatmentHindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Geography Journal

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Research and TreatmentAutism

Hindawi Publishing Corporationhttpwwwhindawicom Volume 2014

Economics Research International