CUSIM M CUSIM-M: Competing-destinations Urban Spatial I t ti M d l i MATLAB Interaction Model in MATLAB A Forecasting Tool for Spatial Distribution – A Forecasting Tool for Spatial Distribution of Employment and Population – David Jung-Hwi LEE, Senior Regional Planner George Washington Regional Commission O Fredericksburg Area MPO
35
Embed
LandUseModel CUSIM M.ppt · Land Use and Economic Policies Model. Land Use Modeling Frameworks From Waddell 2005 LOWRY: Gravity Model Leontieff: ... Vector grid zonal system example
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
S l d H l (1996)- Steel and Holt (1996)- Norner and Murray (2002)- Gitlesen (2004)as disaggregate as possibleas disaggregate as possible
• GIS & Microsimulation: models the behavior of individuals
Di t d t DBMS- Dissagregate data; DBMS- Fotheringham & Wegener (2000)- Spiekermann & Wegener (1996)- Landis & Zhang Landis & Zhang
• GWRC data: Limited parcel layer availabilityG di TAZ l l
Vector grid zonal system example
Geocoding: TAZ level accuracy Thiessen Polygon
MODEL SEARCH :Aggregate or Disaggregate ?Fotheringham and O’Kelly (1989)
Aggregate or Disaggregate ?
Aggregate FlowsSpatial Interaction
Disaggregate FlowsIndividual DecisionsMore BehavioralGeo-psychologicalSpatial AwarenessSpatial Information Processing
Spatial Choice
Spatial Information Processing
MODEL SEARCH :S ti l i t ti d li (SIM)
(1) spatial interaction as social physics
Spatial interaction modeling (SIM)
Newtonian gravity modelLowry model
(2) spatial interaction as statistical mechanics
Extensions of Lowry model
Wilson’s entropy maximizing procedurefamily of spatial interaction modelsy pAlonso’s (1973; 1978) framework Additive Version of Family of SIM by Tobler
(3) spatial interaction as aspatial information processing
(4) spatial interaction as spatial information processingg
Fotheringham 2000
MODEL SEARCH :S ti l i t ti d li (SIM)
(1) spatial interaction as social physics
Spatial interaction modeling (SIM)
( ) p p y
(2) spatial interaction as statistical mechanics
(3) ti l i t ti ti l i f ti i(3) spatial interaction as aspatial information processing
discrete choice models by McFadden LOGIT f l ti (1974 1978 1980)LOGIT formulation (1974; 1978; 1980)Two undesirable properties - independence from irrelevant alternatives (IIA)
(4) spatial interaction as spatial information processing
- regularity
Nested LogitCompeting Destinations modelNo more IIA and RegularityNo more IIA and Regularity
Fotheringham 2000
MODEL SEARCH :Nested Logit s Competing Destinations
hierarchical processing
Nested Logit vs. Competing Destinations
search strategy
Nested Logit Competing Destinationsp g
assumes that the modeller has knowledge to individual choice
considers the likelihood of an alternative being o dg o d dua o
setsof an alternative being in the true choice set
Thi lik lih d i di t This likelihood is according to the similarity, or position, of that alternative relative to the other alternatives
Pellegrini and Fotheringham (1999)
to the other alternatives.
and Fotheringham (1999)
OPERATIONALIZATION[C++: CUSIM C++ 2005 10 Model][C++: CUSIM-C++-2005-10 Model]
OPERATIONALIZATION[MATLAB CUSIM M 2007 09 M d l][MATLAB: CUSIM-M-2007-09 Model]
Better Capability for Matrix Calculation
Faster Model Run TimeFaster Model Run Time
Simple Modular Programming
OPERATIONALIZATION[GAMS CUSIM G 2007 09 M d l][GAMS: CUSIM-G-2007-09 Model]
Good Optimization Tool
Various Solvers
Good Optimization Tool
COMPONENT :Economic Economic Base TheoryTheory
COMPONENT :Deterrence Function [Travel Time Matrix] : [ ]From FAMPO Travel Demand Model
Network
4-Step Model
Visualized Travel Time Matrix
Travel Time Matrix
INPUT :Control TotalsControl Totals
2000 2005 2006 2010 2015 2020 2025 2030 2035
BAS 51,199 68,417 73,042 82,891 94,658 107,137 119,616 131,766 143,917
INPUT :Zonal Basic Emplo ment (e ogeno s)Zonal Basic Employment (exogenous)
APPLICATIONS & FILE FORMAT
CUBE/Voyager: TDM MATRIX: ** . MAT
MATLAB: CUSIM-M ** . CSV
TransCAD MATRIX: ** . CSV ** . DBF
GAMS: CUSIM-G MATRIX: ** . DBF ** . GDX
** . DBF
Visualization: ArcGISCUBE/Vo ager
. DBF
Visualization: ArcGISCUBE/Voyager
CUSIM-M-2007-09 Model : Forecasting2035
Forecasting for Year 2009 2035 with “CUSIM M 2007 09 Model”Forecasting for Year 2009~2035 with CUSIM-M-2007-09 Model
Density C t i t Constraint
Density Constraint Wt_POP:
weighting factorA vector of the ratio of the zonal maximum constrained population A vector of the ratio of the zonal maximum constrained population over the zonal estimated population
Maximum PopulationCapacity
(Const_POP): 500
Maximum PopulationCapacityCapacity
(Const_POP): 2,000
Density Constraint
U Uneven capacity
ByJurisdiction
Maximum Maximum PopulationCapacity
(Const_POP): 12,00012,000
Density Constraint w/ Land Use
Current Land Use for George Washington Region, 2006
Density Constraint Zonal Specific Population Capacity Constraints
Zonal Population Capacity vs. Estimated Population
Hybrid Modeling Approach
MATLABMATLABSimulation (Descriptive) Model
characterizing the general operations and mechanics of land use changes and development patterns
Model
GAMS prescribing Optimization (Prescriptive) Model
p goptimal urban development patternswith minimal concerns associated