Retrospective eses and Dissertations Iowa State University Capstones, eses and Dissertations 1995 Triple testcross analysis to detect epistasis and estimate genetic variances in an F2 maize population Duane Paul Wolf Iowa State University Follow this and additional works at: hps://lib.dr.iastate.edu/rtd Part of the Agricultural Science Commons , Agriculture Commons , and the Agronomy and Crop Sciences Commons is Dissertation is brought to you for free and open access by the Iowa State University Capstones, eses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective eses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. Recommended Citation Wolf, Duane Paul, "Triple testcross analysis to detect epistasis and estimate genetic variances in an F2 maize population " (1995). Retrospective eses and Dissertations. 10739. hps://lib.dr.iastate.edu/rtd/10739
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Retrospective Theses and Dissertations Iowa State University Capstones, Theses andDissertations
1995
Triple testcross analysis to detect epistasis andestimate genetic variances in an F2 maizepopulationDuane Paul WolfIowa State University
Follow this and additional works at: https://lib.dr.iastate.edu/rtd
Part of the Agricultural Science Commons, Agriculture Commons, and the Agronomy and CropSciences Commons
This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State UniversityDigital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State UniversityDigital Repository. For more information, please contact [email protected].
Recommended CitationWolf, Duane Paul, "Triple testcross analysis to detect epistasis and estimate genetic variances in an F2 maize population " (1995).Retrospective Theses and Dissertations. 10739.https://lib.dr.iastate.edu/rtd/10739
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Triple testcross analysis to detect epistasis and
estimate genetic variances in an F2 maize population
by
Duane Paul Wolf
A Dissertation Submitted to the
Graduate Faculty in Partial Fulfillment of the
Requirements for the Degree of
DOCTOR OF PHILOSOPHY
Department; Agronomy Major; Plant Breeding
Appfbved:
In arge of Major Work
For the Major Department
For the Graduate College
Iowa State University Ames, Iowa
1995
Signature was redacted for privacy.
Signature was redacted for privacy.
Signature was redacted for privacy.
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ii
TABLE OF CONTENTS
INTRODUCTION 1
LITERATURE REVIEW 3
Heterosis 3
Design III 4
Epistasis 8
Epistatic Variance 9
Epistatic Effects 12
Triple Testcross 27
MATERIALS AND METHODS 32
Genetic Materials 32
Experimental Procedures 33
Statistical Analysis 34
Genetic Analysis 40
Test for Epistasis 40
Genetic Variance Components 44
Weighted Least Squares 47
Heritabilities 54
Correlations 55
RESULTS 56
Triple Testcross 61
Means 61
Epistasis 68
Variance Components 75
iii
Triple Testcross 75
Design III 77
S, Progeny 81
Covariance Sj and Half-sibs 81
Weighted Least Squares 85
Heritabilities 105
Correlations 105
Phenotypic 105
Genetic 109
DISCUSSION 117
Epistasis 117
Variance Components 122
Weighted Least Squares 124
Implications to Maize Breeding 129
SUMMARY AND CONCLUSIONS 133
REFERENCES 135
ACKNOWLEDGEMENTS 143
APPENDIX A. TRIPLE TESTCROSS ANALYSES BY ENVIRONMENT 144
APPENDIX B. DESIGN III ANALYSES ACROSS ENVIRONMENTS 159
APPENDIX C. S, PROGENY ANALYSES ACROSS AND BY 166 ENVIRONMENTS
APPENDIX D. TESTCROSS AND EPISTATIC DEVIATION MEANS 179 OF TRIPLE TESTCROSS PROGENY, BY ENVIRONMENT AND ACROSS ENVIRONMENTS
APPENDIX E. S, PROGENY MEANS ACROSS ENVIRONMENTS AND 242 BY ENVIRONMENT.
iv
ABSTRACT
Maize (Zea mays L.) breeders have successfully exploited
heterosis by crossing inbred lines to develop hybrid
cultivars. Epistatic effects can contribute significantly to
the expression of heterosis for specific hybrids. The hybrid
B73 X Mol7 was a widely grown hybrid with exceptional
performance in the central U.S. Corn Belt during the late
1970's and early 1980's. It is possible that favorable
epistatic effects contributed to the performance of B73 x
Mol7. The objectives of this study were to use the triple
testcross design to determine if epistatic effects contribute
significantly to the performance of B73 x Mol7, estimate
additive and dominance genetic variances and the average level
of dominance for the Fj population derived from B73 x Mol7, and
use weighted least squares to determine the importance of
digenic epistatic variances relative to additive and dominance
variances.
The analyses of variance suggested that epistatic effects
were important for several traits. Comparison of testcross
mean determined that epistatic deviations were different from
zero for all traits. The deviation for grain yield was 7.0 g
plant"'. The B73 testcrosses contributed significantly to the
epistatic deviation for grain yield. Expression of epistasis
V
was significantly affected by environments.
Genetic variances were estimated using Design III and
weighted least squares analyses. Both analyses determined
that dominance variance was more important than additive
variance for grain yield. For other traits additive genetic
variance was more important than dominance variance. The
average level of dominance suggests overdominant gene effects
were present for grain yield.
Epistatic variances were generally not significantly
different from zero and, therefore, were relatively less
important than additive and dominance variances. For several
traits additive by additive epistatic variance decreased
estimates of additive genetic variance. In general, the
decrease in additive genetic variance was not significant.
1
INTRODUCTION
Maize (Zea mays L.) breeders have successfully exploited
heterosis for grain yield through the crossing of inbred lines
to develop hybrid cultivars. However, the nature of gene
action involved in expression of heterosis for grain yield of
elite maize hybrids remains unresolved. Information on
genetic variances, levels of dominance, and the importance of
genetic effects have contributed to a greater understanding of
the gene action involved in the expression of heterosis. The
models used to estimate these genetic parameters often assume
epistasis to be absent or of little importance.
Several studies indicate that epistasis is not a
significant component of genetic variability in maize
populations (Eberhart et al., 1966; Chi et al., 1969; Silva
and Hallauer, 1975). However, other studies have shown that
epistatic effects are important for specific combinations of
inbred lines (Bauman, 1959; Gorsline, 1961; Sprague et al.,
1962; Lamkey et al., 1995). Specific combining ability is
more important for selected lines than unselected lines,
indicating the importance of dominance and epistatic effects
in elite germplasm (Sprague and Tatum, 1942). Specific
crosses with epistatic effects likely have unique combinations
of genes contributing to heterosis. These unique combinations
are restricted to the specific cross and may be of small
2
importance in a maize population (Hallauer and Miranda, 1988).
The hybrid B73 x Mol7 was a widely grown hybrid in the
central Corn Belt of the United States in the late 1970's and
early 1980's. It was also widely grown in adapted regions
around the world. It is possible that favorable epistatic
effects contributed to the exceptional performance of this
hybrid.
Kearsey and Jinks (1968) developed the triple testcross
design by modifying the Design III (Comstock and Robinson,
1952). The modification provides a test for epistasis, while
allowing the estimation of genetic variances as provided by
the original Design III. The objectives of this study were
to use the triple testcross design to determine if epistatic
effects contribute significantly to the performance of B73 x
Mol7, estimate additive and dominance genetic variances and
the average level of dominance for the Fj population derived
from B73 X Mol7, and use weighted least squares to determine
the importance of digenic epistatic variances relative to
additive and dominance variances.
3
LITERATURE REVIEW
Heterosis
Heterosis is commonly observed for reproductive traits in
crosses between different strains or varieties of plants. The
term heterosis was first proposed by Shull in 1914 (Hayes
1952) and is described as the superiority of F, performance
over performance of the parents. Expression of heterosis is
due to non-additive genetic variance, dominance and/or
epistatic (Barker, 1979). To understand the reason for the
expression of heterosis it is necessary to understand the
relative importance of these non-additive genetic factors.
Estimates of genetic components of variance, level of
dominance and genetic effects have been utilized by maize
breeders to try and explain the expression of heterosis in
maize. While maize breeders have effectively exploited
heterosis, the genetic basis of heterosis remains unclear.
Two main genetic theories have been proposed to explain
heterosis; the overdominance and dominance hypotheses. Shull
(1908) presented the overdominance theory of heterosis. It
was based on the idea that heterozygosity per se was the cause
of heterosis. Hull (1945) coined the term 'overdominance' to
denote superiority of the heterozygote over either homozygote
at the locus level.
The dominance theory was first proposed by Bruce (1910).
4
Heterosis is a result of the accumulation, in the hybrid, of
favorable dominant growth factors contributed by each parent.
The hybrid will have more favorable factors than either
parent. Jones (1917) extended this theory to include linkage.
Linked favorable dominant loci would respond as a single loci.
If favorable dominant alleles are in repulsion phase linkage,
it would be difficult to distinguish dominance from true
overdominance.
A third consideration or theory, is that epistasis, the
interaction of non-alleles, may be an important factor in the
expression of heterosis, particularly in maize single crosses.
Epistatic effects have been observed to be important for
specific combinations of inbred lines (Bauman, 1959, Sprague
et al. 1962, Lamkey et al., 1995).
To gain a greater understanding of heterosis, maize
breeders have used the Design III mating design to determine
the average level of dominance, and other methods have been
used to determine the importance of epistasis.
Design III
The Design III mating design was developed by Comstock
and Robinson (1952) to estimate the average level of dominance
for quantitatively inherited traits. Assuming linkage
equilibrium and no epistasis, the Design III mating design is
a good design to estimate additive and dominance genetic
5
variance components for an Fj population. The Design III has
primarily been used in maize Fj populations to determine the
effects of linkage on estimates of additive and dominance
genetic variances and on the average level of dominance
(Hallauer and Miranda, 1988). Direct F-tests to determine
that dominance is present and complete are provided by the
Design III.
Comstock and Robinson (1952) discussed the effects of
linkage on estimates of additive and dominance genetic
variance, and the bias due to linkage effects can be large,
particularly in an Fj population where linkage disequilibrium
will be greatest. Additive genetic variance would be biased
upwards if coupling phase linkages predominate and downwards
if repulsion phase linkages predominate. Dominance genetic
variance would be biased upward regardless of linkage phase.
Repulsion phase linkages can cause the average level of
dominance to be estimated in the overdominant range. A test
for the effect of linkage bias can be made by advancing the F2
to successive generations by random mating, which would permit
recombination of some linked loci (Gardner et al. 1953). The
original F2 and random mated Fj synthetic generations can be
evaluated using the Design III. Estimates of additive and
dominance genetic variances and level of dominance can be
compared between generations. If repulsion phase linkages are
important random mating should decrease the average level of
6
dominance.
Gardner et al. (1953) used the design III to estimate
additive and dominance genetic variances in the Fj population
of several maize single crosses. Average level of dominance
was in the overdominant range for yield and partial to
complete dominance for other traits. The authors indicate it
may be either true overdominance or pseudo-overdominance
attributable to linkage effects.
Gardner and Lonnquist (1959) evaluated the Fj and Fi-Syn 8
generations of a maize single cross. Two samples of progeny
were developed for each generation. Sample 1 had an average
level of dominance for yield in the partial dominance range
for both generations. In sample 2 estimates of the average
level of dominance decreased for all traits from the Fj to F2-
Syn 8 generation. This supports the hypothesis that estimates
of average level of dominance in an Fj population are biased by
linkage effects. The authors suggest that the average level
of dominance is not greater than complete dominance for genes
controlling yield and other quantitative traits in maize.
However, the possibility of overdominance at one or more loci
can not be eliminated.
Moll et al. (1964) using the Design III, studied Fj
generations of two maize single crosses and advanced
generations derived by random mating. Their objective was to
determine the effect of linkage bias on estimation of genetic
7
variances. Estimates of dominance variance and average level
of dominance for grain yield decreased with random mating. In
advanced generations the average level of dominance was in the
complete dominance range. It was concluded that linkage
effects cause an upward bias in estimates of average level of
dominance from a Fj population.
Han and Hallauer (1989) used the Design III to evaluate
the Fj and Fj-Syn 5 generations from the single crosses B73 x
B84 and B73 x Mol7. Additive genetic variance estimates were
not significantly different between generations for all
traits, suggesting linkage did not bias estimates from the Fj
generation. Linkage had a positive bias on dominance variance
for grain yield, but bias was less important for other traits.
The Fj had an average level of dominance in the overdominant
range for grain yield in both crosses. The level of dominance
decreased to partial or complete dominance for the Fj-Syn 5 of
both crosses. The average level of dominance for other traits
was partial to complete dominance for both generations.
In general the Design III has shown that on average genes
controlling quantitative traits in maize F2 populations are in
the partial to complete dominance range. There has been
little support for genes with overdominance controlling
cpaantitative traits. Detection of overdominance has generally
been due to linkage.
8
Epistasis
Epistasis can be defined as the interaction of alleles at
non-homologous loci. Hollander (1955) reviewed the evolution
of the term epistasis. Bateson (1907) was the first to use
the term epistasis and applied it to a particular type of
interaction between non-alleles, which could be arranged in a
sort of cumulative series. The term epistasis was often used
to describe a two-locus interaction where one gene pair hid
the effect of another. This non-allelic interaction affecting
phenotypic expression of a qualitative trait resulted in
modified Fj ratios such as 9:3:4 and 9:7 (Hollander, 1955).
For quantitative characters epistasis is defined statistically
and not physiologically (Hallauer and Miranda, 1988).
Quantitatively epistasis describes any nonadditive interaction
between loci, in contrast to dominance effects which are due
to nonadditivity within a locus (Kempthorne, 1957). For a two
locus model epistasis is described as the failure of a gene
replacement at one locus to remain the same when a gene is
replaced at the other locus.
Maize researchers have used two general approaches to
determine the importance of epistasis. First, the magnitude
of epistatic variance, in relation to additive and dominance
variances, can be determined by using complex mating designs.
Secondly, researchers have used different methods of progeny
mean comparisons to test for the presence of epistatic
effects.
9
Epistatic Variances
Fisher (1918) was the first to partition the genetic
variance into additive, dominance, and epistatic components.
Cockerham (1954) showed that the epistatic variance could be
partitioned into additive x additive, additive x dominance,
and dominance x dominance components. Cockerham (1956)
suggested a method for the estimation of epistatic variances.
He proposed using mating Designs I and II with parents at two
levels of inbreeding to estimate epistatic variances. This
method provides sufficient independent equations for
estimation of digenic epistatic variances.
Eberhart et al. (1966) used this method on two open-
pollinated varieties, "Jarvis" and "Indian Chief". They
concluded that the additive genetic variance accounted for the
largest portion of the total genetic variance for all
characters in both varieties. Dominance variance was
important for grain yield. Epistatic variance was not an
important source of genetic variance for any traits, most
estimates were near zero or negative, and any positive
estimates had large standard errors. It was concluded that
mass, S,, or half-sib recurrent selection would be effective
for improving these varieties, because of the importance of
additive variance.
10
Stuber et al. (1966) studied genetic variance in the
cross of Jarvis and Indian Chief, by use of Design I and
Design II mating designs. Their objective was to determine
the type of gene action responsible for heterosis in an
interpopulation cross. Epistatic variance did not contribute
significantly to the genetic variability of the characters
studied. Robinson and Cockerham (1961) also did not find
evidence for epistasis in the cross of Jarvis and Indian
Chief. Additive and dominance variance were both important
components of the genetic variance for the characters studied.
Chi et al. (1969) used a complex mating design to
estimate genetic components of variance in the open-pollinated
variety "Reid Yellow Dent". Epistatic variances were
negligible relative to additive and dominance variances.
Additive variance was more important for ear height, ear
length, kernel-row number, and kernel weight. Dominance
variance was more important for plant height, ear diameter,
and grain yield.
Wright et al. (1971) used the triallel and diallel
analysis described by Rawlings and Cockerham (1962) to
estimate genetic components of variance in a strain of "Krug
Yellow Dent". Unweighted least squares and maximum likelihood
procedures were used for estimation of genetic variance
components. Significant epistatic effects were detected in
the analysis of variance, but realistic estimates of epistatic
11
variances were not obtained. Additive variance accounted for
the largest proportion and nonadditive variance a smaller
portion of the total genetic variance. Maximum likelihood
generally reduced the errors of the variance component
estimates.
Silva and Hallauer (1975) studied the importance of
epistatic variance for grain yield in the "Iowa Stiff Stalk
Synthetic". Design I and II mating designs were used to
develop half-sib and full-sib progenies. They compared
ordinary least squares, weighted least squares, and maximum
likelihood procedures for estimating genetic variance
components. Epistatic variance was not important for grain
yield. A model using additive genetic variance accounted for
93% of the total variability for grain yield. Inclusion of
dominance variance in the model accounted for 99% of the
variation and no improvement was observed when epistatic
variance was included. The estimate of dominance variance was
slightly greater than additive variance, and had less
environmental interaction. Ordinary least squares was
inadequate, while weighted least squares was an effective
method and much simpler to use than maximum likelihood.
Several problems exist when estimating components of
epistatic variance. If the frequency of genetic combinations
which exhibit epistatic effects are low the variability due to
epistasis may not be detected when effects are spread
12
throughout the population. Coefficients of the second- and
third-order genetic variance components are highly correlated
with first-order variance components, which reduces
sensitivity for detecting epistasis. Large errors are
associated with estimating variance components. The inability
to obtain convincing estimates of epistatic variance indicate
that either the genetic models used are inadequate or
epistatic variance is small relative to the total genetic
variance; it is probably a result of both factors (Hallauer
and Miranda, 1988).
Epistatic Effects
Mather (1949) developed generation means analysis to
detect epistatic effects in a cross. Anderson and Kempthorne
(1954) developed a similar analysis and applied it to
generations developed from two maize inbreds. Epistatic
components were an important part of the observed mean
genotypic values for midsilk date, ear height, and grain
yield.
Jinks (1955) applied the model of Mather (1949) to
generations derived from a wide range of diallel crosses in
maize. For several crosses significant epistatic effects for
grain yield were detected. Specific combining ability was
associated with the presence of epistatic effects, while
general combining ability was the result of uncomplicated
13
dominance.
Gamble (1962a) evaluated 15 single crosses developed from
six elite inbreds. Six generations from each cross, the
parental lines, Fi, Fj, and first backcross generations, were
evaluated in the generation means analysis developed by
Anderson and Kempthorne (1954). Dominance effects were the
most important effect for grain yield in all crosses.
Significant epistatic effects were observed in eight crosses
and were more important than additive effects. Additive x
additive and additive x dominance were the most important
epistatic effects. Gamble (1962a) reports that previous
studies show additive effects made a greater contribution to
variation for grain yield in open-pollinated varieties of
maize. The author indicates that in the development and
selection of inbred lines for yield performance, it is
possible that the importance of additive effects was reduced.
Gamble (1962b) observed that for plant height, ear length, ear
diameter, and seed weight, dominance effects accounted for the
majority of variation. Epistatic effects contributed more to
the variation of these traits than additive effects.
Hallauer and Russell (1962) used genetic populations
developed from a cross of two inbreds to estimate genetic
variance and genetic effects for days from silking to
maturity, grain moisture, and kernel weight. Epistatic
effects were significant for all traits. Dominance effects
14
were more important than additive effects. With the
assumption of no epistasis, estimates of dominance variance
were greater than zero, while estimates of additive variance
were zero for grain moisture and kernel weight. Variance
component estimates may be confounded with epistatic effects
detected in generation means analysis.
Moll et al. (1963) used generation means analysis to
study inheritance of resistance to brown spot (Physoderm
maydis) in six single crosses of maize. The majority of
variation in brown spot reaction was due to additive effects,
although, epistatic effects were present in certain crosses.
It was concluded that selection among inbreds should be
effective, because resistance of a parental inbred would be a
good indicator of resistance in the hybrid. The possible
presence of epistasis in some crosses may make selection among
hybrids necessary to obtain maximum resistance.
Russell and Eberhart (1970) studied the effects of three
gene loci on the inheritance of quantitative traits in maize.
They evaluated backcross-derived sublines of inbred B14,
differing by single marker genes. For plant and ear traits,
additive effects were more important than dominant effects,
but for grain yield dominant effects were greater. Epistatic
gene effects were also important; on average for all
characters, epistasis accounted for 41% of the variation among
genotypes.
15
Darrah and Hallauer (1972) used generation means analysis
to estimate genetic effects from four types of maize inbreds:
first-cycle lines, second-cycle lines, good lines, and poor
lines. Poor and second-cycle lines showed higher levels of
epistasis than good and first-cycle lines. Second-cycle
inbreds were selected from improved varieties or specific
crosses and are more likely to have favorable epistatic and
with two replications per set. Ten sets were used and each set
contained 3 0 entries which were comprised of three testcrosses
from each of 10 different Fj plants. The S, progeny were grown
in a 10x10 lattice with two replications.
Both experiments were grown at the Agronomy Research
Center near Ames, the Atomic Energy Farm in Ames, and near
Elkhart, Iowa in 1992. In 1993, experiments were evaluated at
the Agronomy Research Center and the Ankeny Research Farm.
Each location by year combination was treated as a different
environment. Each plot was a single row 5.49m in length and
0.76m wide. Plots were overplanted and thinned to a stand of
57,520 plants hectare"'.
Sixteen traits were measured in both experiments. Days
from planting to 50% anthesis and silk emergence were recorded
at the Agronomy Research Center in 1992 and 1993, and at
Atomic Energy Farm in 1992. Silk delay was calculated as the
difference between anthesis and silk emergence. Plant and ear
heights (cm) were calculated as the average measurement of 10
competitive plants within a plot at all environments, except
Elkhart. Plant and ear height were measured from ground level
to the collar of the flag leaf and primary ear node.
34
respectively. At all five environments 10 competitive plants
within a plot were hand harvested (with gleaning for dropped
ears) and ears were dried to a uniform moisture. Data for the
following traits were measured as the average of 10 primary
ears or plants; ear diameter (cm), cob diameter (cm), ear
length (cm), kernel-row number, and ears plant'. Kernel depth
was recorded as the difference between ear and cob diameter.
Grain yield was determined from all primary and secondary ears
and expressed in grams plant"'. Barren plants was expressed as
the percentage of 10 harvested plants which did not produce an
ear. Root lodging (% of plants leaning more than 30 degrees
from vertical), stalk lodging (% of plants broken at or below
primary ear node), and dropped ears (% of plants with dropped
ear at harvest) were based on the total number of plants in a
plot and recorded at five environments.
Statistical Analysis
The testcross experiment was analyzed by both the TTC and
Design III methods. The TTC and Design III are similar, and
therefore, the same statistical model can be used for both
analyses. The exception is that in the Design III analysis
only entries from B73 and Mol7 testcrosses are included. The
TTC analysis was conducted to test for epistasis, and Design
III analysis was conducted to estimate genetic variance
components.
35
The statistical model used for the combined analysis was;
Yesnm = U + E, + S3 + {ES), + R,/,/, + + ME ,/
^erstm'
where
e = 1 to 5 (environments),
s = 1 to 10 (sets),
r = 1 to 2 (replications),
t = 1 to 3 (testers) (1 to 2 for Design III), and
m = 1 to 10 (males set"') .
The components are defined as;
Yesrtm = observation of the m"" male, by t"* tester, in s"*
set, in e^ environment;
u = overall mean;
Eg = effect of the e"" environment;
Sg = effect of the s"* set;
(ES)e5 = effect due to interaction of the s"" set and e"*
environment;
Rj/s/e = effect of the r"" replication within set and e""
environment;
T(t/s) ~ effect of the t"* tester within s"" set;
TEet/s = effect due to the interaction between t"* tester
within the s"* set and the e"* environment;
= effect of m"* male within the s*** set;
MEme/s = effect due to interaction between m'^' male within
36
s"* set and the e"* environment;
TMj s = effect due to interaction of m"" male and t"" tester
within s"" set;
TMEt e/s = effect due to interaction of m"* male by t"* tester
within s"" set and e*" environment; and
®erstm ~ random error associated with the r"* observation on
the m"' male, by t"* tester, within s*"* set and e"* environment.
The analysis of variance combined across environments is
shown in Table 1 for TTC and Table 2 for the Design III.
Environments and males were considered random and testers
fixed. Appropriate F-tests are shown. A Satterthwaite (1946)
approximate F-test was derived for the tester source of
variation. In the TTC analysis of variance, sources of
variation for tester, environment by tester, male by tester,
and environment by male by tester were partition further to
test for epistasis (Table 1). The test for epistasis will be
discussed later.
In the Sj progeny experiment low seed supplies and poor
germination resulted in several entries missing, at one or
more environments. Because of the missing entries the
experiment could not be analyzed as a lattice and was instead
analyzed as a randomized complete block design. Statistical
model for the combined analysis across environments of S,
progeny was:
Yerg = u + E, + R,/, + Gg + GEg^ + e„g.
Table 1. Analysis of variance for the triple testcross showing sources of variation, degrees of freedom (df), mean squares (MS), expected mean squares (EMS), and F-tests for traits pooled over sets and combined across environments.
Source of variation
df MS EMS F-test
Env (E) e-1 Mil 6" + mt(7^R/s/E + rmtcr^sE + rta^ ME + rmtsa^ M11/M9+M4-H1
B73 vs Mol7 s M71 + + rea^xM + rma^ET + rmeK^i M71/M61+M31-M21
Epistasis s M72 + 2 ETM + 2
rma Ej- + rmeK^-j2 M72/M62+M32-M22
E X T/S s (t-l)(e-l) M6 + + rma g-j. M6/M2
E X B73vsMol7 s(e-l) M61 + + rmff^ETi M61/M21
E X Epistasis s(e-l) M62 a"- + + rmcr^BT? M62/M22
Male(M)/S s(m-l) M5 + + rteCT\, M5/M4
E X M/S s(m-l){e-l) M4 + M4/M1
T X M/S s(m-l)(t-l) M3 + + M3/M2
B73vsMol7 X M s(m-l) M31 + + M31/M21
Epistasis X M s(m-l) M32 + ra^ETM + M32/M22
E X T X M/S s(t-l)(m-l) (e-1)
M2 + ETM H2/M1
E X B73vsMol7 x M s(t-l)(m-1) M21 a' M21/M1
E X Epistasis x M s(t-l)(m-1) M22 a' + rea\jM2 M22/M1
Error es(r-l) (tm-1)
Ml a'
u 00
Table 2. Analysis of variance for the Design III showing sources of variation, degrees of freedom (df), mean squares (MS), expected mean squares (EMS), and F-tests for traits pooled over sets and combined across environments.
Ygfg = r* observation of the g"* genotype, in the e""
environment;
u = overall mean;
Eg = effect of the e"* environment;
Rr/e = effect of the r"* replication in the e"* environment;
Gg = effect of the g"* genotype;
GEgg = effect due to interaction of the g"* genotype and e"*
environment; and
e fg = random error associated with the r''' observation, of
the g"* genotype, in the e"" environment.
The analysis of variance combined across environments is
shown in Table 3. Appropriate F-tests are shown, a
Satterthwaite (1946) approximate F-test was derived for
environments. All effects were considered random.
Genetic Analysis
Test for Epistasis
For the i"" male of the Fj it was designated that L,; =
testcross produced by crossing the i"* male to B73, Lj; =
testcross produced by crossing the i"* male to Mol7, and Lj; =
Table 3. Analysis of variance for Sj progeny showing sources of variation, degrees of freedom (df), mean squares (MS), expected mean squares (EMS), and F-tests for the combined analysis across environments.
Source of Variation
df MS EMS F-test
Env (E) e-1 MS + M5/M4+M2-M1
Rep/E e{r-l) M4 + M4/M1
Genotypes (G) g-1 M3 + rcr^GE + reff^Q M3/M2
G X E (g-1)(e-1) M2 + M2/M1
Error e(r-l)(g-1) Ml
42
testcross produced by crossing the i"' male to the F,. Kearsey
and Jinks (1968) proposed the expression, L,j + Lji - 21 -, = D.
The epistatic deviation "D" should equal zero in the absence
of epistasis and will differ from zero if epistasis is
present. For the i"*" male from a population when computing
+ 1,2!" 21.3;, the additive and dominance terms cancel and
epistatic terms remain. This is true for any number of loci.
Irrespective of the genetic constitution of the population
(i.e., gene frequencies and linkage disequilibrium) the method
will detect epistasis for loci at which B73 and Mol7 differ
(Kearsey and Jinks, 1968).
The analysis of variance for the TTC provides two F-tests
for the presence of epistasis (Perkins and Jinks, 1970). The
source of variation due to tester was partitioned into two
orthogonal contrasts, one of which was L,. + Lj - 2L3 . The
contrast Lj + Lj. ~ 2L3. was designated as epistasis in the TTC
analysis (Table 1), and tests for the presence of additive by
additive epistatic effects. The tester x male source of
variation was partitioned into two sources of variation, one
of which was variation in L,; + Ljj - 2'L^i among males. Variation
in L,i + Lzi - 2113; was designated as epistasis by male in the TTC
analysis (Table 1) and tests for additive by dominance and
dominance by dominance epistatic effects. These two sources
of epistatic variation were also tested for their interaction
with environments.
43
A test for epistasis was also conducted based on the mean
of the epistatic deviation (5), across environments and within
environments. A t-test was conducted to determine if
deviation means were different from zero, as follows;
t = (5 - Uo)/ (V(D)/n)"2,
where
Uo = 0;
n = number of observations in the mean, (1000 for
means across environments and 200 for means within
environments);
V(D) = variance of the deviation, calculated as,
6(M6+M3-M2); and
M6+M3-M2 = Satterthwaite (1946) approximate mean
square used in numerator of the F-test for the tester source
of variation (Table 1). For yield the epistatic deviation
means (Dj) across environments for each Fj male were tested
using the t-test with n=10 observations.
The epistasis source of variation from the TTC analysis
and epistatic deviation are both based on the comparison of
testcross means across F2 males. Therefore positive and
negative epistatic effects will cancel and only net epistasis
will be detected. For epistasis by male, positive and
negative effects will not cancel because variation in effects
between males is tested.
44
Genetic Variance Components
The genetic-statistic models of the TTC (Jinks and
Perkins, 1970) and Design III (Comstock and Robinson, 1952)
were followed to derive genetic components. Variance
components were derived from the analyses of variance combined
across environments.
Additive genetic (a^^) and additive by environment (ct ae)
were estimated from the TTC. The necessary variance
components were calculated as (Table 1):
= (M5 - M4)/tre = covariance half-sibs = l/4a\, and
= (M4 - Ml)/tr = l/4a2AE.
From the Design III analysis dominance genetic
[a\) , and dominance by environment (a^oe) genetic variance
components were estimated. The necessary components were
calculated as (Table 2):
= (M5 - M4)/tre = covariance half-sibs =
= (M4 -Ml)/rt = 1/402^^;
= (M3 - Vi2) jx& = a\', and
~ (^2 ~ Ml)/r =
Two estimates of and were obtained to compare
estimates from the TTC (3 half-sibs/male) and Design III (2
half-sibs/male). Pooni and Jinks (1979) indicated that the
estimate from the Design III should be more precise than that
from TTC because of greater variation caused by genetic
segregation in the F, testcrosses.
45
Estimates of and obtained from the Design III were
used to estimate the average level of dominance as;
The assumptions for the translation of covariance of
relatives into genetic components of variance were given by
Comstock and Robinson (1948, 1952). An important assumption
when estimating the average level of dominance is linkage
equilibrium. If linkage disequilibrium exists in a population
estimates of and will be biased by linkage effects.
Additive variance will be biased upward if coupling phase
linkage predominates, and downward if repulsion phase linkage
predominates. Dominance variance will be biased upward
regardless of the linkage phase. Repulsion phase linkage will
likely result in an overestimate of d.
The Design III provides F-tests for two hypotheses
regarding dominance (Gardner et al., 1953):
1.) That dominance is lacking. In the presence of
dominance, M3 will be greater than M2 (Table 2).
2.) That dominance is complete. If dominance is complete
the ratio will not deviate from unity. Satterthwaite
(1946) approximate degrees of freedom were calculated for the
F-test of this ratio as discussed by Gardner et al. (1953).
From the combined analysis of variance for S, progeny,
genotypic (a^a) , genotypic by environment (a^oe) phenotypic
{a\) variance components were estimated as (Table 3):
46
a^o = (M3 - M2)/re,
= (M2 - Ml)/r, and
a^p = M3/re.
The a^Q can be expressed in genetic components as:
+ 1/Non
standard errors for all variance components were
calculated using the method of Anderson and Bancroft (1952):
S.E. = {2/0" [(MSi)V(ni+2)]}"2,
where
MS; = the i® mean square;
n; = degrees of freedom associated with the i"* mean
square; and
C = coefficient of the variance component in the expected
mean square.
In addition, because half-sib and S, progeny were derived
from the same Fj parents, the covariance between them can be
translated into genetic variance components. Mean products
were obtained from the combined analysis of covariance between
half-sib and S, means as discussed by Matzinger and Cockerham
(1963). Mean products were multiplied by 2 to put them on
same magnitude as mean squares from the analyses of variance.
Mean products have the same expectations as mean squares (Mode
and Robinson, 1959) and, therefore, covariance components can
be derived from mean products as
Mxy = /
47
' XYE ~
OxY = Myy - MxYg/re, and
^XYE ~ Mxye/ »
where,
Mxy = mean product between half-sib and S, progeny;
Mxye = interaction of environment by half-sib and Sj
progeny mean product;
OxY = covariance of half-sib and S, progeny; and
''xYE = covariance by environment interaction.
The genetic covariance between half-sib and S, progeny has been
derived by Bradshaw (1983) and can be expressed as
'^xY ~ l/2a\; and
OxY = l/2a^;^E .
Standard errors of components of covariance were estimated by
the following formula (Dickerson, 1969):
S.E. = {1/C^ L [ (Mixx) (MiYv) + (MixY)'3/(ni+2)}"2,
where
C = the coefficient of the component of covariance;
Mjxx and Mjyy = mean squares for half-sib and Sj progeny;
Mjxy = mean product for half-sib and S, progeny; and
n; = degrees of freedom of ith mean product.
Weighted Least Squares
From Design III, S, progeny, and covariance combined
analyses there were eight mean squares and products which were
48
"translated into genetic components of variance and error
variances. In addition error mean squares from Design III and
S, analyses of variance were expressed in terms of error
variances. Mean squares and products were expressed fully in
terms of genetic components of variance through digenic
epistatic components and error variances as follows:
where, is the additive genetic variance, a\ is the
dominance genetic variance, is additive by environment
variance, o de is dominance by environment variance, (J aa* ^ dd»
and a^AD the digenic epistatic variance components, ct aae#
\de 3 ® digenic epistatic by environment
variances, is the error variance of the Design III,
the error variance of S, progeny, is the covariance of
half-sibs and Sj progeny, and 0xye is the covariance by
environment. Translation matrices of mean squares and
products into coefficients of genetic and error variance
components for the complete model are presented in Tables 4,5,
and 6.
Silva and Hallauer (1975) used three methods to estimate
genetic variance components; i.e., ordinary least squares,
weighted least squares, and maximum-likelihood. They
indicated that ordinary least squares was inadequate, while
weighted least square was a good method and much simpler in
relation to maximum likelihood. Weighted analysis corrects
for unequal variances that exists between mean squares and
products. Weighted least squares as discussed by Nelder
(1960) was used to estimate genetic variance components. The
weighted analysis can be expressed as:
Table 4. Matrix of coefficients for means squares and mean products in terms of genetic, genetic by environment, and error variances for combined analysis of traits measured in five environments'.
' All traits except plant and ear heights, anthesis, silk emergence, and silk delay.
*• Components of variance are additive genetic (o^a)/ dominance (a^o), digenic epistasis of and a^o > interaction of these components by environment {o^^Ef ®^de» <^dde» o'ade)? experimental error of the design III and experimental error of S, progeny (<?e2)-
O) o
Table 5. Matrix of coefficients for means squares and mean products in terms of genetic, genetic by environment, and error variance components for combined analysis across four environments for plant and ear heights.
Half-sib/S| X E 0.00 1.00 0.00 0.00 0.00 0.50 0.00 0.00 0.00 0.00 0.00 0.00
' Components of variance are additive genetic (a\), dominance (o'd)/ digenic epistasis of and o'o (o^aa'P^dd'P^ad) » interaction of these components by environment (o^ae' p^de» p^aae» "^dde/ p'ade) ' experimental error of the design III (o^c) and experimental error of S, progeny
Table 6. Matrix of coefficients for mean squares and mean products in terms of genetic, genetic by environment, and error variance components for combined analysis across three environments for anthesis, silk emergence, and silk delay.
Half-sib/S, X E 0.00 1.00 0.00 0.00 0.00 0.50 0.00 0.00 0.00 0.00 0.00 0.00
(ji N
" Components of variance are additive genetic (cPa)^ dominance (a^o) r digenic epistasis of and o'd (0^aa»0^dd/0^ad) ' interaction of these components by environment {o^ae» ®^de/ o^aae» ®^dde/ o^ade)' experimental error of the design III and experimental error of S, progeny (<?e2)*
53
B = (X'WX)-' (X'WY) ;
where
B = column vector of estimated genetic and error
variances;
X = matrix of coefficients of the genetic and error
variances;
W = matrix with the inverse of the variances of mean
squares and products on the diagonal and zero on the off
diagonal; and
Y = column vector of observed mean squares and products.
Standard errors of the parameter estimates were computed
as the square root of the associated diagonal element of the
(X'WX)"' matrix. Variances of mean squares and products were
calculated by the methods of Mode and Robinson (1959). The
following formula was used for the variance of a mean square:
V(Mi) = [2(Mi)Vdfi+2],
where
Mi = ith mean square; and
dfj = degrees of freedom of ith mean square.
The following formula was used for the variance of a mean
product;
V(MixY) = [ (Mixx) (MiYv) + (MiXY)'3/(dfi+2) ,
where
Mjxx and MjyY = ith mean squares for half-sib and S,
progeny;
54
MjjjY = ith mean product of half-sib and S, progeny; and
dfj = degrees of freedom of ith mean product.
To estimate the genetic parameters of B, several
different models were tested. However, not all genetic and
error variances could be estimated from a single model. A
complete model included eight genetic variances and two error
variances. The adequacy of each model was tested using a Chi-
sguare test (Mather and Jinks, 1982).
= E [ (O - E)2 * V];
where
O = observed mean square or product;
E = expected mean square or product; and
V = inverse of the variance of the mean square or
product.
Heritabilities
Heritability estimates (h^) were calculated on a progeny
mean basis. For half-sib progeny of the TTC and Design III
as:
= aV(«yVrte + a^g^/te + •
For S, progeny as;
= a^o/CaVre + a^oe/e + •
Exact 90% confidence intervals for estimates of heritability
are reported, as defined by Knapp et al.(1985).
55
Correlations
Mode and Robinson (1959) outlined a method using analysis
of variance and covariance for the calculation of genetic (ro)
and phenotypic (rp) correlations. For traits x and y, they
were calculated as:
~ ''xy/(®^GX*®^OY)
where, o^xy" genetic covariance for traits x and y from the
combined analysis of covariance across environments;
a^ox and a^oY = genetic variance components of trait x
and y, respectively, from the combined analysis of variance.
The phenotypic correlations were calculated similarly using
appropriate phenotypic variance and covariance components.
Genetic correlations of the TTC and Design III are additive
genetic correlations because the variance and covariance were
completely additive genetic.
56
RESULTS
The average grain yield across environments for the TTC
was 112.9 g plant"'. Mean grain yields ranged from 150.0 g
plant"' (Ames, 1992) to 88.2 g plant"' (Ames, 1993). Growing
conditions in 1992 were generally good at all three locations,
although the Elkhart environment had below normal rainfall in
June and July. Average yield at the three environments in
1992 was 127.0 g plant"'. Excessive rainfall and below normal
temperatures in 1993 reduced yields at two environments to an
average of 91.6 g plant"'. The overall coefficient of
variation (CV) for grain yield was 14.3%. Environment CV's
ranged from 11.1% (Ames, 1992) to 17.2% (Ames, 1993).
The Ames (1993) environment required 7.6 and 6.8 more
days from planting to reach anthesis and silk emergence
respectively, compared with Ames (1992). The poor growing
conditions in 1993 caused an increase in barren plants from an
average of 0.2% in 1992 to 4.8% in 1993. Most ear and kernel
traits were also adversely affected.
The S, progeny had an average grain yield across
environments of 92.9 g plant"' (Table 7). Mean grain yields
ranged from 117.3 g plant"' at Ames (1992) to 65.2 g plant"' at
Ames (1993). Grain yield averaged 107.1 g plant"' in 1992 and
68.8 g plant"' in 1993. Overall CV was 17.1%, while individual
environments CV's ranged from 12.8% (Ames, 1992) to 25.0%
Table 7. Means and least significant differences (LSD) for Fj, B73, and Mol7 testcrosses and means for S, progeny combined across five environments and at individual environments.
Environment
Trait Testcross Combined Ames 1992 Elkart 1992
Atomic Energy 1992
Ames 1993 Ankeny 1993
Yield F, 110.5 147.0 111.2 120.1 83.5 90.7
(g plant') B73 117.7 158.9 114.0 114.5 96.7 104.5
Mol7 110.4 144.1 108.4 125.12 84.4 90.0
LSD(0.05) _a 4.1 3.9 4.8 3.9 3.7
Ear Fi 4.24 4.54 4.23 4.42 3.96 4.03
Diameter B73 4.46 4.73 4.43 4.68 4.19 4.26
(cm) Mol7 4.01 4.32 3.98 4.18 3.77 3.82
LSD(0.05) 0.03 0.04 0.04 0.05 0.04 0.04
s, 4.10 4.36 4.13 4.21 3.86 3.87
Cob F, 2.60 2.60 2.67 2.69 2.55 2.51
Diameter B73 2.77 2.74 2.80 2.87 2.75 2.68
(cm) Mol7 2.43 2.45 2.51 2.52 2.36 2.33
LSD(0.05) 0.02 0.02 0.02 0.02 0.03 0.03
s, 2.57 2.55 2.61 2.66 2.51 2.49
Kernel F, 1.63 1.94 1.57 1.73 1.41 1.52
Depth 873 1.69 1.98 1.63 1.81 1.44 1.58
(cm) Mol7 1.58 1.88 1.47 1.66 1.41 1.49
LSD(0.05) 0.02 0.04 0.04 0.04 - 0.04
Ear Length
(cm)
Kernel
Rows
(no.)
Ears
Plant"'
(no.)
Barren
Plants
{%)
S,
P.
B73
Mol7
LSD(0.05)
S,
Fi
B73
Mol7
I.SD(0.05)
B73
Mol7
LSD(0.05)
S,
Fi
B73
Mol7
LSD(0.05)
S,
1.53
14.8
14.1
16.1
0.3
14.1
14.3
16.0
1 2 . 8
0.1
14.0
0.98
1.00
0.98
0.01
0.97
2.5
1 . 1
2.5
0.7
4.3
1.81
16.4
16.1
17.4
0.2
15.1
14.3
16.0
12.8
0 . 1
14.1
1.00
1.01
1.00
1 .01
0 . 1
0 . 2
0.1
0 . 6
* Testcross means not significantly different. Trait not measured in that environment.
(Ames, 1993). Barren plants increased from 0.8% in 1992 to
10.2% in 1993.
Triple Testcross
Means
Means of F,, B73, and Mol7 testerosses are presented in
Table 7. The TTC combined analyses of variance for five
environments are presented in Tables 8, 9, and 10. Highly
significant (P<0.01) differences were observed among testcross
means for all traits except yield (Table 8). The B73
testcrosses generally had greater ear and cob diameters,
kernel depth and kernel-row number, while Mol7 testcrosses had
greater ear length. Although significant differences did not
exist for yield, B73 testcrosses had the greatest yield across
environments and generally within environments (Table 7). The
environment by tester interaction was highly significant for
all traits except kernel-row number. All traits had a highly
significant tester by male interaction. Ear diameter and
length had significant (P<0.05) environment by tester by male
interactions.
For ear number and lodging traits, significant
differences were observed among testcross means for all traits
except root lodging (Table 9). The B73 testcrosses had more
ears plant"', and less barren plants, stalk lodging, and
dropped ears. The environment by tester interaction was
Table 8. Triple testcross analysis of variance combined across environments, means, and coefficients of variation (CV) for yield and ear traits measured at five environments in 1992 and 1993.
Source of Variation
Mean Squares
df Yield Ear Diameter
Cob Diameter
Kernel Depth
Ear Length
Kernel Rows
g plant"' cm cm cm cm no.
Env (E)
Set (S)
E X S
Rep/ExS
4
9
36
50
353432.70**
1416.81
1466.87*
856.35**
34.935**
0.140
0.171**
0.079**
3.538**
0.200
0.132**
0.025**
24.362**
0.118
0.216**
0.050**
607.27**
13.97
12.90**
1.95**
22.15**
7.92**
1.34**
0.47
Tester(T)/S
B73 vs Mol7
Epistasis
20
10
10
2337.64
3595.97
1079.30
4.991**
9.935**
0,047
2.820**
5.621**
0.020
0.324**
0.632**
0.016
108.24**
208.68**
7.80**
251.01**
500.01**
2.00**
E x T/S
E x B73vsMol7
E X Epistasis
80
40
40
1164.26**
1863.42**
465.10**
0.055**
0.071**
0.04
0.027**
0.036**
0.018
0.050**
0.064**
0.036
9.96**
18.06**
1.86**
0.40
0.39
0.40
Male(M)/S
E x M/S
90
360
733.06**
421.23**
0.194**
0.046**
0.115**
0.018*
0.092**
0.037*
6.42**
2.07**
8.56**
0.36
T x M/S 180 1091.87** 0.097** 0.030** 0.060** 3.34** 0.97**
*.** Significant at the 0.05 and 0.01 probability levels respectively.
Table 9. Triple testcross analysis of variance combined across environments, means, and coefficients of variation (CV) for five agronomic traits measured at five environments in 1992 and 1993.
Source of Variation
Mean Squares
df Ears Plant" Barren Plants
Root Lodging
Stalk Lodging
Dropped Ears
no. no.
Env (E)
Set (S)
E X S
Rep/ExS
4
9
36
50
0.482**
0.007
0.010**
0.005
3832.66**
34.68
88.53**
40.01*
150.69**
27.02
23.02**
7.04
4326.81**
55.70
101.38**
19.24
488.86**
6.97
5.27
7.66**
Tester(T)/S
B73 vs Mol7
Epistasis
20
10
10
0.016**
0 .022* *
0.010
112.42*
108.38
116.47
18.72
35.66*
1.78
87.34*
159.08*
15.60
37.62**
62.31*
12.92
E x T/S
E x B73vsMol7
E X Epistasis
80
40
40
0 .006* *
0 .006*
0.007**
64.51**
70.04**
58.98**
12.24**
15.64**
8.85*
41.38**
66.61**
16.16
16.11**
23.69**
8.53**
Male{M)/S
E x M/S
90
360
0.009**
0.005**
60.59*
43.02**
9.21**
5.86
62.57**
27.14*
7.05**
4.45
T x M/S 180 0.004 28.08 6.41 26.73* 5.30
B73vsMol7 X M
Epistasis x M
E x T x M/S
E X B73vsMol7 x M
E x Epistasis x M
Error
Overall mean
CV (%)
90 0.004 29.79
90 0.004 26.36
720 0.004 30.92
360 0.004 32.18*
360 0.004 29.66
1450 0.004 27.92
0.99 2.00
6.13 259.98
6.67 31.35** 6.95*
6.14 22.12 3.64
6.16 20.64 4.64*
6.26 20.81 5.22**
6.07 20.48 4.06
5.79 23.09 4.01
0.63 4.38 0.79
384.26 109.73 251.99
*,** Significant at the 0.05 and 0.01 probability levels respectively.
Table 10. Triple testcross analysis of variance combined across environments, means, and coefficients of variation (CV) for five agronomic traits measured at four environments in 1992 and 1993.
Source of Variation
Mean Squares
df Plant Height
Ear Height
Anthesis* Silk Emergence
Silk Delay*'
cm cm days days days
Env (E)
Set (S)
E X S
Rep/ExS
3(2)
9
27(18)
40(30)
48992.87** 24282.49**
1959.51** 1565.90**
15958.16** 13968.38**
537.49**
207.96**
364.32**
152.77**
34.08
29.87**
9.25**
45.98
26.02**
8.33**
98.65**
3.53
2.07
1.61*
Tester(T)/S
B73 vs Mol7
Epistasis
20
10
10
4055.28**
7917.01**
193.55
1858.41**
3545.85**
170.97**
34.19**
52.09**
16.30**
6.35
5.62
7.07**
15.94**
28.22**
3.67*
E x T/S
E x B73vsMol7
E x Epistasis
60(40)
30(20)
30(20)
136.31**
206.80**
65.81
68.57**
97.52**
39.61
3.70**
6.17**
1.24
2.73*
4.24**
1.22
1.19
1.32
1.05
Male(M)/S
E x M/S
90 1070.72** 790.72** 19.10** 18.14**
270(180) 45.04** 39.90** 2.49** 2.23**
2.82**
1.23
T x M/S 180 147.44** 91.37** 3.58** 3.64** 1.61*
B73vsMol7 X M 90
Epistasis X M 90
203.75**
91.12**
123.90**
58.84**
4.52**
2.64
4.77**
2.52*
1.65
1.57*
E x T x M/S 540(360) 42.25** 37.97** 1.88
E x B73vsMol7 x M 270(180) 39.05 36.09 1.75
E x Epistasis x M 270(180) 45.38** 39.86** 2.01
1.74*
1.61
1.86*
1.19*
1.21
1.16
Error 1160(870) 33.91 31.72 1.70 1.45 1.02
Overall mean
CV (%)
219.06
2 . 6 6
109.98
5.12
83.88
1.55
86.35
1.39
2.47
40.88
*,** Significant at the 0.05 and 0.01 probability levels respectively.
* Days from planting to 50% anthesis and silk emergence measured at three environments and degrees of freedom are listed in parentheses.
Difference between anthesis and silk emergence measured at three environments and degrees of freedom are listed in parentheses.
o\ •J
68
highly significant for all traits (Table 9). Stalk lodging
had a significant tester by male interaction and dropped ears
a significant environment by tester by male effect.
Highly significant differences existed among testcross
means for all traits except silk emergence (Table 10). Only
silk delay did not have a significant environment by tester
interaction. The B73 testcrosses had greater plant and ear
heights, more days to anthesis, and less silk delay (Table 7).
The tester by male interaction was significant for all traits,
and only days to anthesis did not have a significant
environment by tester by male interaction. Tester by
environment interactions and lack of a direct F-test for
testers may have decreased the ability to detect significant
differences among testcross means for some traits.
Analysis of variance tables for S, progeny are presented
in the appendix (Tables C1-C3). Highly significant
differences existed among genotypes for all traits except root
lodging. Genotype by environment interaction was either
significant or highly significant for all traits except,
kernel depth, ear length, root and stalk lodging, and dropped
ears.
Epistasis
Sources of variation due to epistasis and epistasis by
male are presented in Tables 8, 9, and 10 for the combined TTC
69
analysis. Epistasis was highly significant for ear length,
kernel-row number, ear height, anthesis, and silk emergence
and significant for silk delay (Tables 8, 9, and 10). The
environment by epistasis interaction was highly significant
for yield, ear length, ears plant'*, barren plants, and dropped
ears and significant for root lodging. Epistasis by male was
highly significant for cob diameter and plant and ear heights.
Epistasis by male was significant for yield, ear length,
kernel-row number, days to silk emergence, and silk delay.
The environment by epistasis by male effect was highly
significant for plant and ear heights and significant for ear
diameter and silk emergence.
The significance levels for epistasis and epistasis by
male sources of variation within individual environments are
presented in Table 11. Epistasis was either significant or
highly significant in all environments for ear length and days
to anthesis and in three environments for kernel-row number
and ears plant"'. Epistasis was either significant or highly
significant in two environments for yield, barren plants, and
dropped ears, and in one environment for ear and cob
diameters, root lodging, plant and ear heights, and days to
silk emergence.
Plant and ear heights had significant or highly
significant epistasis by male variation in four and three
environments, respectively. Epistasis by male was
70
Table 11.
Trait Source
Significance levels for epistasis and epistasis by xnale, from the individual environment analysis of variance for the triple testcross.
Environment
Ames 1992
Elkart 1992
Atomic Energy 1992
Ames 1993
Ankeny 1993
Yield (g plant""
Epistasis
Epistasis X male
ns
ns
ns
ns
ns
ns
**
ns ns
Ear Diameter (cm)
Epistasis
Epistasis x male
ns
ns
*
ns
ns
ns
ns
ns
ns •kit
Cob D iameter (cm)
Epistasis
Epistasis x male
ns
ns
ns
ns
ns
ns
ns
ns
Kernel Depth (cm)
Epistasis
Epistasis x male
ns
ns
ns
ns
ns
ns
ns
ns
ns
ns
Ear Length (cm)
Epistasis
Epistasis x male
icir
ns
*
ns ns ns
*
ns
Kernel Row Number (no.)
Epistasis
Epistasis X male
4r*
ns
*
ns
ns
ns
•kit
ns
ns
ns
Ears Plant"' (no.)
Epistasis
Epistasis x male
ns
ns
*
ns
ns
ns
k
ns
* *
ns
Barren Plants (%)
Epistasis
Epistasis X male
ns
ns
ns
ns
ns
ns
k
ns
k k
ns
Significant at the 0.05 and 0.01 probability levels respectively, otherwise nonsignificant (ns).
71
Table 11. (continued)
Trait Source
Environment
Ames 1992
Elkart 1992
Atomic Energy 1992
Ames Ankeny 1993 1993
Root Lodging (%)
Epistasis
Epistasis X male
**
ifk ns itif
ns
ns
ns
ns
ns
ns
Stalk lodging (%)
Epistasis
Epistasis x male
ns
ns
ns
ns
ns
ns
ns
ns
ns
ns
Dropped Ears (%)
Epistasis
Epistasis x male
"k
ns
ns
ns
ns
ns ns
ns
ns
Plant Height (cm)
Epistasis
Epistasis x male
ns ns * *
* *
* *
ns
Ear Height (cm)
Epistasis
Epistasis x male
Anthesis (days)**
Epistasis
Epistasis x male
ns
ns
•k 1c •k
ns *
*
ns
ns •k "k
-k-k
ns
Silk Emergence (days)
Epistasis
Epistasis x male ns
ns
ns *k
Silk Delay (days)®
Epistasis
Epistasis x male
ns
ns
ns
ns
ns *
• Trait not measured in that environment.
Days from planting to 50% anthesis and silk emergence.
° Difference between anthesis and silk emergence.
72
significant or highly significant in two environments for root
lodging and days to silk emergence and one environment for ear
and cob diameters, days to anthesis and silk delay. The Ames
(1993) environment had nine traits with significant epistasis
and four with significant epistasis by male sources of
variation. The Ames (1992) and Ankeny (1993) environments had
a similar number of traits with significant variation due to
both types of epistasis.
Epistatic deviation means averaged across environments
and for individual environments are presented in Table 12.
Deviations were calculated from testcross performance as (B73
+ Mol7) - 2Fi. Therefore, a negative mean indicates the Fj
testcrosses had a larger mean for that trait than the average
of B73 and Mol7 testcrosses.
The combined deviation means were highly significantly
different from zero for kernel-row number, ear height, days to
anthesis and silk emergence, and silk delay (Table 12).
Combined deviation means were significantly different from
zero for grain yield, ear length, barren plants, and dropped
ears. Positive deviations for grain yield, ear length,
kernel-row number, ear height, and days to anthesis and silk
emergence indicate greater observed values of B73 and of Mol7
testcrosses for these traits (Table 7). A positive deviation
for dropped ears indicates poor performance for B73 and Mol7
testcrosses compared with F, testcrosses. Negative deviations
Table 12. Epistatic deviation means combined across environments and for individual environments.
*,** Significantly different from zero at 0.05 and 0.01 probability levels respectively.
* Trait not measured in that environment.
'' Days from planting to 50% anthesis and silk emergence.
Difference between anthesis and silk emergence.
74
for barren plants and silk delay, indicate poorer performance
of Fj testcrosses compared with B73 and Mo17 testcrosses for
these traits. For individual environments, ear length had
highly significant deviations in four environments, while
grain yield, kernel-row number, and days to anthesis had
highly significant or significant deviations in three
environments. Ears plant"', barren plants, ear height, days to
silk emergence, and silk delay had significant or highly
significant deviations in two environments. Root and stalk
lodging, dropped ears, and plant height had significant or
highly significant deviations in one environment. The Ames
(1993) and Ankeny (1993) environments had 56 and 46 percent,
respectively, of traits with deviations different from zero.
The magnitude of the deviations were generally larger in these
environments compared with other environments. For example,
Ames (1993) had a deviation for grain yield of 14.0 g plant'
and Ankeny (1993) a 13.l g plant' deviation. Elkhart and
Atomic Energy had deviations near zero and Ames (1992) a
deviation of 8.9 g plant''. Similarly, deviations for barren
plants were large and negative at Ames (-3.1%) and Ankeny (-
4.6%) in 1993. In 1992, barren plant deviations were zero or
small positive values at the three environments (Table 12).
Epistatic deviation means for each male are presented in
the appendix (Tables Dl, D2, and D3). Specifically for grain
yield, deviation means across environments ranged from -28.9
75
to 37.0 g plant"', with a median of 7.9 g plant"'. Thirteen of
the 100 males had deviations which were significantly or
highly significantly different from zero. Eta-Ndu (1994)
reported for the cross A679 x Wx6005 that among 52 males, 11
had significant deviations with tester LH85 and seven had
significant deviations with tester LH163.
Variance Components
Variance components were considered significantly
different from zero if they were greater than twice their
standard error. If estimates are distributed normally the 95%
confidence interval will be bounded by ± two standard errors
of the estimate. Estimates were considered different from
each other if their confidence intervals did not overlap.
Triple Testcross
Additive genetic (a^^) variance was significantly
different from zero for all traits, except barren plants
(Table 13). The magnitude of significant estimates were at
least two to four times greater than their respective standard
errors. Estimates of additive by environment (c^ae) variance
were significant for all traits except kernel-row number, root
and stalk lodging, dropped ears, and silk delay. Estimates of
<7^ for yield, ear length, and barren plants were smaller in
magnitude than estimates.
76
Table 13. Estimates of variance components' (± standard error) from the triple testcross analysis of variance across five environments'" .
Trait
Yield (g plant"')
Bar Diameter (cm)°
Cob Diameter (cm)'=
Kernel Depth (cm)°
Ear Length (cm)
Kernel Rows (no.)
Ears Plant(no.)®
Barren Plants (%)
Root Lodging (%)
Stalk Lodging (%)
Dropped Ears (%)
Plant Height (cm)
Ear Height (cm)
Anthesis (days)**
Silk Emergence (days)''
Silk Delay (days)®
1.98 ± 0.39
1.30 ± 0.23
0.73 ± 0.18
0.58 ± 0.13
1.09 ± 0.17
0.05 ± 0.02
2.34 ± 1.27
0.45 ± 0.19
4.72 ± 1.26
0.35 ± 0.15
170.95 ± 26.32
125.14 ± 19.44
3.69 ± 0.63
3.53 ± 0.60
0.35 ± 0.10
107.02 ± : 21.85 260.70 ± 9.68
0.90 ± 0.24 3.21 ± 0.12
0.19 ± 0.09 1.48 + 0.06
0.40 ± 0.20 3.09 + 0.12
0.70 + 0.11 1.03 + 0.04
0.00 ± 0.02 0.35 + 0.01
0.11 + 0.03 0.37 ± 0.01
10.07 + 2.24 27.92 ± 1.04
0.05 + 0.32 5.79 + 0.21
2.70 + 1.46 23.09 + 0.86
0.29 + 0.24 4.01 + 0.15
7.42 + 2.74 33.91 + 1.41
5.46 + 2.44 31.72 + 1.32
0.53 ± 0.18 1.70 + 0.08
0.52 + 0.16 1.45 + 0.07
0.14 + 0.09 1.02 + 0.05
' Variance components: additive genetic variance, ct ae additive genetic by environmental variance, and a\ is experimental error variance.
Five environments for all traits except plant and ear heights which were measured in four and anthesis, silk emergence and silk delay which were measured in three environments.
' Estimates and standard errors multiplied by 100.
** Days from planting to 50% anthesis and silk emergence.
' Difference between anthesis and silk emergence.
77
Design III
Barren plants, root lodging, and dropped ears did not
have estimates of significantly different from zero (Table
14). Significant estimates were generally two to five times
greater than their standard errors. Estimates of were not
different from zero for ear and cob diameters, kernel depth,
kernel-row number, root and stalk lodging and dropped ears.
Estimates of were larger than for yield, ears plant',
barren plants, and dropped ears. The precision and magnitude
of the estimates of from Design III and TTC were similar
(Tables 13 and 14). Estimates of from the Design III were
generally larger, but did not differ from TTC estimates by
more than a one standard error. For several traits, yield,
ear and cob diameters, kernel depth, and barren plants
estimates of from the Design III were smaller but not
significantly different than estimates from TTC.
Estimates of dominance genetic variance (a\) were
significantly different from zero for all traits except ears
plant"', barren plants, root lodging, dropped ears and silk
delay (Table 14). Significant estimates of o\ were generally
greater than three times their standard errors. Ear length,
barren plants, plant and ear heights, days to silk emergence,
and silk delay had significant estimates of a^oE-
Estimates of and a\ were not different from each other
for ear diameter, kernel depth, ear length, barren plants.
Table 14. Estimates of variance components* (± standard error) and average level of dominance (d) from the Design III analysis of variance across five environments''.
" Variance components: is additive genetic variance, CT^ae additive genetic by environmental variance, is dominance genetic variance, (T^de is dominance genetic by environmental variance, and experimental error variance.
Plant and ear heights measured in four environments and anthesis, silk emergence and silk delay measured in three environments.
° Average level of dominance deviated from complete dominance at 0.01 probability level.
^ Estimates and standard errors multiplied by 100.
' Days from planting to 50% anthesis or silk emergence.
f Difference between anthesis and silk emergence.
79
g^DE d g'p/q^A
15-96 1 : 12.71 267.72 i : 12.27 2.44' 2.97
0.14 ± 0.15 3.24 ± 0.15 1.04 0.54
-0.05 ± 0.06 1.39 ± 0.06 0.54"= 0.15
0.13 ± 0.15 3.14 ± 0.14 1.06 0.56
0.13 ± 0.05 1.05 ± 0.05 1.16 0.67
-0.02 ± 0.01 0.35 ± 0.02 0.46® 0.10
0.02 ± 0.02 0.35 ± 0.02 - 0.00
2.70 + 1.34 26.79 ± 1.23 - -0.08
0.08 ± 0.27 6.10 ± 0.28 0.47 0.11
-1.24 ± 0.94 23.30 ± 1.07 0.57 0.16
0.25 ± 0.22 4.72 ± 0.22 0.88 0.38
4.53 ± 1.81 29.28 ± 1.50 0.48"= 0.12
4.35 ± 1.70 27.38 + 1.40 0.40"= 0.08
0.06 + 0.10 1.63 ± 0.10 0.51' 0.13
0.16 ± 0.09 1.29 + 0.08 0.57' 0.16
0.15 ± 0.07 0.91 ± 0.05 0.61 0.19
80
root lodging, and dropped ears. For grain yield, was
greater than while the opposite was true for the remaining
traits. Therefore, the ratio was less than one for all
traits except grain yield (Table 14). Ratios were generally
greater in magnitude for traits in this study, compared with
ratios reported in the study of Han and Hallauer (1989), who
also evaluated the Fj of B73 x Mol7.
The average level of dominance deviated from complete
dominance for yield, cob diameter, kernel-row number, plant
height, ear height, anthesis, and silk emergence (Table 14).
Of these traits grain yield had an average level of dominance
in the overdominant range (2.44), while the remaining traits
exhibited partial dominance.
Han and Hallauer (1989) reported an average level of
dominance for grain yield of 1.28, which did not deviate from
complete dominance. The average level of dominance for other
traits in the present study were similar to those reported by
Han and Hallauer (1989). The average level of dominance for
grain yield observed in the present study was also greater
than estimates previously reported for Fj populations by
Robinson et al. (1949), Gardner et al. (1953), Moll et al.
(1964), and Gardner and Lonnquist (1959). Estimates reported
in these studies ranged from 1.03 to 2.14. For other traits
the level of dominance was similar to estimates from these
studies.
81
S, Progeny
Genetic variance (a^o) estimates were significantly
different from zero for all traits except root lodging (Table
15). Genetic by environmental (O^OE) variances were
significantly different from zero for all traits except kernel
depth, ear length, root and stalk lodging, and dropped ears.
The estimate of a^oE for ears plant' and barren plants was
larger but not significantly different than the estimate of
a^Q. Estimates of phenotypic variance were generally smaller
than the error variance, except for plant and ear heights.
For several traits the estimates of were smaller than those
reported by Han and Hallauer (1989).
Covariance 8, and Half-sibs
Covariance of S, and half-sibs translated into
are presented in Table 16. Estimates of were not different
from zero for yield and dropped ears. Additive by environment
variance was different from zero for yield, ear diameter, ears
plant"', barren plants, days to anthesis, and silk emergence.
For yield was significantly greater than CT\, while for
ears plant"' and barren plants it was larger but not different
from The magnitude of estimates from covariance of S, and
half-sibs was generally smaller than estimates from TTC and
Design III. For ears plant"', barren plants, days to anthesis,
and silk delay, estimates of were larger than those
Table 15. Estimates of variance components* (± standard error) from the S, progeny analysis of variance across five environments'".
Trait
Yield (g plant"') 206.44 ± 29.05 166.65 ± 29.20
Ear Diameter (cm)'^ 2.80 ± 20.40 2.38 ± 0.40
Cob Diameter (cm)*^ 1.45 ± 0.21 1.20 ± 0.21
Kernel Depth (cm)'^ 1.23 ± 0.17 0.91 ± 0.18
Ear Length (cm) 1.18 ± 0.17 1.04 ± 0.17
Kernel Rows (no.) 1.06 + 0.15 1.00 ± 0.15
Ears Plant"' (no.)° 0.44 + 0.06 0.29 ± 0.06
Barren Plants (%) 30.51 ± 4.29 18.13 ± 4.39
Root Lodging (%) 0.79 ± 0.11 -0.09 ± 0.13
Stalk Lodging (%) 7.46 ± 1.05 4.30 ± 1.07
Dropped Ears (%) 0.67 ± 0.09 0.26 ± 0.10
Plant Height (cm) 219.97 ± 30.95 210.67 ± 30.96
Ear Height (cm) 169.97 ± 23.92 163.22 ± 23.93
Anthesis (days)** 5.69 ± 0.80 4.95 ± 0.80
Silk Emergence (days)"* 4.75 ± 0.67 4.07 ± 0.67
Silk Delay (days)'' 0.82 ± 0.12 0.47 ± 0.12
2 2 • Variance components: Op is phenotypic variance, O q is genetic variance is genetic by environmental variance, and is experimental error
variance.
Plant and ear heights measured in four environments and anthesis, silk emergence and silk delay measured in three environments.
Estimates and standard errors multiplied by 100.
Days from planting to 50% anthesis or silk emergence.
® Difference between anthesis and silk emergence.
83
59.52 ± 15.89 251.02 ± 16.55
0.44 ± 0.18 3.20 ± 0.21
0.26 ± 0.10 1.80 ± 0.12
-0.02 ± 0.15 3.03 ± 0.20
0.07 ± 0.06 1.12 ± 0.07
0.05 ± 0.02 0.44 + 0.03
0.35 ± 0.06 0.71 + 0.05
32.42 ± 4.53 50.28 ± 3.32
-0.29 ± 0.42 8.76 ± 0.58
1.12 ± 1.40 27.10 + 1.79
0.20 ± 0,18 3.36 ± 0.22
8.66 3.47 50.88 + 3.78
7.23 ± 2.48 35.04 + 2.60
0.98 ± 0.23 2.21 ± 0.19
0.72 ± 0.22 2.38 ± 0.20
0.39 ± 0.11 1.19 ± 0.10
84
Table 16. Estimates of additive genetic (o a) additive by environment variance components (± standard error) from analysis of covariance between S, and half-sib progeny across five environments*.
^
Yield (g plant"') 28.09 ± : 18.42 57.48 ± : 14.87
Ear Diameter (cm)'' 1.46 ± 0.33 0.40 ± 0.16
Cob Diameter (cm)** 1.26 ± 0-21 -0.06 ± 0.09
Kernel Depth (cm)'' 0.50 ± 0.15 0.05 ± 0.14
Ear Length (cm) 0.62 ± 0.13 0.08 + 0.06
Kernel Rows (no.) 0.98 ± 0.15 -0.01 + 0.02
Ears Plant"^ (no. )*" 0.10 ± 0.03 0.13 + 0.03
Barren Plants (%) 5.51 ± 1.75 11.70 ± 2.25
Root Lodging (%) 0.40 ± 0.14 -0.17 ± 0.28
Stalk Lodging (%) 4.98 ± 1.10 1.02 ± 1.14
Dropped Ears (%) 0.03 ± 0.11 0.31 ± 0.16
Plant Height (cm) 172.87 ± 27.15 0.36 2.98
Ear Height (cm) 138.15 ± 21.36 -0.52 ± 2.38
Anthesis (days)*^ 4.01 ± 0.67 0.49 ± 0.22
Silk Emergence (days)*^ 3.44 ± 0.60 0.51 0.19
Silk Delay (days)'' 0.50 ± 0.10 -0.05 ± 0.08
* Plant and ear heights measured in four environments and anthesis, silk emergence and silk delay measured in three environments.
Estimates and standard errors multiplied by 100.
° Days from planting to 50% anthesis or silk emergence.
** Difference between anthesis and silk emergence.
85
obtained from TTC and Design III. Overall, estimates of
and from covariance analysis were generally within one
standard error of estimates from TTC and Design III.
Weighted Least Squares
Models that included the maximum number of parameters
permitted by the number of independent equations often
produced an X-matrix that was singular or nearly singular.
These models included two digenic epistatic terms and gave
unrealistic estimates (very large or negative, with large
standard errors). Chi et al. (1969), Wright et al. (1971) and
Silva and Hallauer (1975) also obtained unrealistic and
negative estimates as the number of epistatic terms in the
model increased. Therefore, models which included no more
than one digenic epistatic term were used.
The following six models were utilized for estimating
genetic and error variances:
Model Parameters
1
2 0'^A> O^AAF O^AAE. <1/
3 O\E, o'e2
4 O\E> O\, O\A> ^^AAE'
5 O\E> O\, 2 ^ V D R ® DDE»
6 O\E> O\, ^^VE' ^^ADE'
Results of the six models for each trait are presented in
86
Tables 17 to 32. Across all traits the Chi-square lack of fit
was generally significant for models 1 and 2, while the
remaining models generally provided an adequate fit to the
data. Model 3 generally provided a good fit, with R-squares
greater than 97 percent and lowest standard errors of the six
models for the majority of traits. Silva and Hallauer (1975)
and Wright et al. (1971) also obtained their best results from
the same model. Estimates of a\, ^rid from model
3 (Tables 17 to 32) were generally similar to estimates from
the Design III (Table 14), while the standard errors from
weighted least squares were generally less than those from
Design III. Only the estimate of for ear length was
significantly different between the two studies, which was
greater in the Design III. Additive genetic variance (ct a)
from model 3 was not different from zero for root lodging,
while o\ was not different from zero for ears plant"\ barren
plants, root lodging, dropped ears, and silk delay. Estimates
of were not significantly different from each other
for ear and cob diameters, kernel depth, ear length, root
lodging, and dropped ears. For the remaining traits estimates
of were greater than a\, except for yield.
Inclusion of digenic epistatic variances in models 4, 5,
and 6 generally improved the fit and increased the R-square
values compared with model 3. However, the standard errors of
a^A models 4, 5, and 6 increased compared with model
Table 17. Yield (g/plant), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
Variance Components* and Standard Errors
Model < ae < d O aa ® aae o^el <^c2
1 E
SB
60.93
11.79
57.48
10.07
276.77
9.94
254.82
15.13
96.3 51.7**
2 E -4.79 53.78 138.60 5.62 279.10 251.92 97.0 42.1**
SE 24.78 25.56 45.44 35.28 10.23 16.43
3 E 54.78 57.46 170.82 14.93 269.15 251.87 99.4 8.2
SE 12.95 13.09 27.40 12.45 132.02 84.10 11.22 16.55
® Components of variance are additive genetic dominance (o^d)» digenic epistasis of and (cj aa»o^dd/®^ad) » interaction of these components by environment o^de/ ®^aae» "^dde# <^ade) f experimental error of the design III (a^ei) experimental error of S, progeny (0^52)*
*,** Chi-square lack of fit significant at the 0.05 and 0.01 probability levels, respectively.
Table 18. Ear diameter (cm), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
' Components of variance are additive genetic (o^a)» dominance digenic epiatasis of and (o'aa'O^dd/O^ad) ' interaction of these components by environment (a^^, <^AAEr O^DDB' < ade) » experimental error of the design III (o^j) and experimental error of S, progeny (ai^ei)'
Estimates and standard errors multiplied by 100.
*,** Chi-square lack of fit significant at the 0.05 and 0.01 probability levels, respectively.
Table 19. Cob diameter (cm), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
' Components of variance are additive genetic (ct a)' dominance (o^d)' digenic epistasis of and o^D (o^AA» ®^ddf » interaction of these components by environment (o^ae/ o^aae/ o^dde/ o^ade) » experimental error of the Design III (o^ei)/ experimental error of S| progeny (o^e2)'
'' Estimates and standard errors multiplied by 100.
*,** Chi-square lack of fit significant at the 0.05 and 0.01 probability levels, respectively.
Table 20. Kernel depth (cm), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
* Components of variance are additive genetic (o^a)' dominance (o^d)' digenic epistasis of and o'd (o aaf o'ad) » interaction of these components by environment o^def <^aae» <^DDEr o^ade) f experimental error of the Design III (o^ei)' experimental error of S, progeny (o^e2)*
** Estimates and standard errors multiplied by 100.
*,** Chi-square lack of fit significant at the 0.05 and 0.01 probability levels, respectively.
Table 21. Ear length (cm), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
* Components of variance are additive genetic (o^a), dominance (o^d)* digenic epistasis of and a^O (o^aa/O^dd/'^ad) » interaction of these components by environment (o^ae/ °^DE> °^ME' "W/ <^ade)/ experimental error of the Design III (o^ei), and experimental error of S, progeny (0^52) •
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 22. Kernel-row number (no.)» weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
* Components of variance are additive genetic (0^^)/ dominance {a^g), digenic epistasis of and cTp o^ad) ' interaction of these components by environment (o^ae, o^de/ ®^aae» <^ddb' ^ade) f experimental error of the Design III and experimental error of S, progeny (^^2)'
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 23. Ears plant"' (no.), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
' Components of variance are additive genetic (c a)' dominance (o^d)' digenic epistasis of and o'd (o^aa# o^ad) ' interaction of these components by environment (o ae/ o^de/ o aae? ®^dde» ® ade) / experimental error of the Design III and experimental error of S, progeny (^e2)*
^ Estimates and standard errors multiplied by 100.
*,** chi-square lack of fit significant at the 0.05 and 0.01 probability levels, respectively.
Table 24. Barren plants (%), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
' Components of variance are additive genetic (o^a) / dominance (a^o), digenic epistasis of and (o^aa/O^dd'O^ad) ' interaction of these components by environment (o^ae/ <^aae» ' experimental error of the Design III (o^ei)' experimental error of S, progeny (0^2)*
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 25. Root lodging (%), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
' Components of variance are additive genetic dominance (o^d)» digenic epistasis of and {®^aa»®^dd'®^ad) » interaction of these components by environment {o^ae» ®^de» o^aae» o^dde/ '^ade) » experimental error of the Design III (o^ei)» experimental error of S, progeny (<^52)*
*,** Chi-sc[uare lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 26. Stalk lodging (%), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
* Components of variance are additive genetic (o^a)/ dominance (o^d)/ digenic epistasis of and o^D (a^AA'®^dd/® ad)» interaction of these components by environment (o^ae o^de' ®^aae' o^dde» <^ade) » experimental error of the Design III (0^^)/ and experimental error of S, progeny (^52)*
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 27. Dropped ears (%), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across five environments.
* Components of variance are additive genetic (o^a)# dominance {ai^o), digenic epistasis of and o'd (®^AA'®^DDf ®^ad) ' interaction of these components by environment (o^ae/ "^dde' '^ade) » experimental error of the Design III experimental error of S, progeny {(^^2) •
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 28. Plant height (cm), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across four environments.
Variance Components* and Standard Errors
Model O ae ® de ® aa ® aae <^el <^e2
1 E
SE
187.34
16.63
5.91
1.96
31.93
1.30
52.54
3.38
95.9 46.8**
2 E 162.42 5.53 45.26 0.64 31.96 52.35 96.0 46.1**
" Components of variance are additive genetic (o a), dominance (o'p), digenic epistasis of and o'b (o^aa/®^dd»®^ad) ' interaction of these components by environment "^aae/ o^dde '^ade) r experimental error of the Design III (a^ei)' experimental error of S, progeny (0^52)*
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 29. Ear height (cm), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across four environments.
Variance ComponentB* and Standard Errors
Model O\ O^AE O^DE "^AA O^AAE <^e2 R'
1 E
SE
145.91
12.92
4.67
1.56
30.14
1.21
36.47
2.38
96.2 43.7**
2 E 125.93 3.16 36.39 2.30 30.25 36.01 96.3 42.8**
* Components of variance are additive genetic {o^a)» dominance (o^d)? digenic epistasis of and interaction of these components by environment (a^^, <^aae» ^DDE> «^ade) / experimental error of the Design III t and experimental error of S, progeny (^e2)*
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 30, Anthesis (days from planting), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across three environments.
' Components of variance are additive genetic (o^a)# dominance (o^d)/ digenic epistasis of and (c^AA/O'DDf <^ad) » interaction of these components by environment d^tm' ®^aae/ o^dde' o^ade)/ experimental error of the Design III (o^d)/ and experimental error of S, progeny (o^e2)-
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 31. Silk emergence (days from planting), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across three environments.
' Components of variance are additive genetic (o^a)? dominance (o^d)/ digenic epistasis of and o^t, (o^aa/°^DD'®^ad) » interaction of these components by environment (o^ae» ®'de» °^dde» '^ade) » experimental error of the Design III and experimental error of S, progeny (o?e2)*
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
Table 32. Silk delay (days between anthesis and silk emergence), weighted least squares estimates (E) of variance components and their respective standard errors (SE) for six models, based on the combined analysis across three environments.
' Components of variance are additive genetic (o a)' dominance (0 0), digenic epistasis of and (o^aaj / interaction of these components by environment (o ae» <^DE' " dde/ < ade) » experimental error of the Design III (o^ei)' experimental error of S, progeny •
*,** Chi-square lack of fit, significant at the 0.05 and 0.01 probability levels, respectively.
103
3. The increase in standard errors, as the number of
epistatic components increased, is likely unavoidable because
of the high correlation between coefficients of the first-
order variance components (a\ and a^u) and coefficients of
second-order components a\j,, (Chi et al., 1969).
For several traits decreased estimates of while
was not effected in model 4 compared with model 3. For
example, the estimate of for yield was decreased by 75% and
for ear length decreased by 32%. Decreases in resulted in
nonsignificant estimates for yield, ears plant"', barren
plants, and dropped ears in model 4. Dominance variance did
not differ from zero for ears plant"', barren plants, root
lodging, dropped ears, and silk delay. Additive genetic
variance was significantly greater than for cob diameter,
kernel-row number, root and stalk lodging, plant and ear
heights, days to anthesis and silk emergence, and silk delay
in model 4. Dominance variance was significantly greater than
for yield. When significant estimates of a^u, and
were observed in model 4, they did not differ from
corresponding estimates observed in model 3.
Inclusion of in model 5 generally gave
unrealistically large estimates of and large negative
estimates of which may indicate the model was inadequate.
Estimates of a\j) generally had no effect on estimates of a\
and a\ in model 6. Therefore, had a greater effect on
104
estimates of than did either a^oo model
5 is considered inadequate, estimates of a\ were generally not
biased by epistasis in the remaining models. Hallauer and
Miranda (1988) observed that the greatest bias on
estimates of and a\.
Estimates of digenic epistatic components from models 2,
4, 5, and 6 were often negative, smaller than their standard
errors, or unrealistically large compared with estimates of
and These results agree with those of Silva and Hallauer
(1975) and Wright et al. (1971) who also observed unrealistic
and negative estimates of digenic epistatic components. For a
few traits in the present study, however, positive epistatic
components, greater than twice their standard error, were
observed. This was true for the following traits and
variances; and for yield in models 2 and 6,
respectively (Table 17), o ade diameter in model 6
(Table 19) , ct aa length in model 2 (Table 21) , a^^oE
for kernel-row number in model 6 (Table 22) , ct aa/ o' aae/ o'\d»
and ct\oe ears plant"' (Table 23) and barren plants (Table
24) in models 2, 4, and 6, and a^AOE silk delay in model 6
(Table 32). These traits either had significant epistatic
effects, significant epistasis by environment interactions or,
both, detected in the TTC analysis (Tables 8, 9, and 10).
105
Heritabilitles
Heritability estimates and 90% confidence intervals of
TTC, Design III, and S, progeny are presented in Tables 33, 34,
and 35, respectively. Estimates were considered greater than
zero if the confidence interval did not overlap zero. Within
and among analyses estimates between traits were considered
different if their confidence intervals did not overlap.
Estimates in all analyses were significantly greater than zero
for all traits, except for root lodging of S, progeny which was
negative. In all three analyses kernel-row number and plant
and ear heights had the largest estimates (>0.91), which were
significantly greater than estimates for other traits.
Magnitude of triple testcross and Design III heritabilities,
based on half-sib progenies were similar and reflect the
relative importance of S, estimates were larger for
several traits, particularly for yield. Because the expected
genetic variance of S, progeny includes all the one-
fourth of the of the source population, heritabilities are
expected to be larger compared with those based on half-sib
progeny, which contain one-fourth of the
Correlations
Phenotypic
For TTC and S, progeny, grain yield was positively
correlated with ear traits, ears plant"', and plant and ear
106
Table 33. Estiiaates of heritability (h^) with confidence intervals based on half-sib progeny from the triple testcross analysis of variance across five environments*.
Confidence Interval''
Trait h^ Lower Limit Upper limit
Yield (g plant"') 0.43 0.25 0.57
Ear Diameter (cm) 0.77 0.70 0.82
Cob Diameter (cm) 0.85 0.80 0.89
Kernel Depth (cm) 0.60 0.48 0.70
Ear Length (cm) 0.68 0.58 0.76
Kernel Rows (no.) 0.96 0.95 0.97
Ears Plant(no.) 0.40 0.22 0.55
Barren Plants (%) 0.29 0.08 0.47
Root Lodging (%) 0.36 0.17 0.52
Stalk Lodging (%) 0.57 0.44 0.68
Dropped Ears (%) 0.37 0.18 0.53
Plant Height (cm) 0.96 0.95 0.97
Ear Height (cm) 0.95 0.93 0.96
Anthesis (days)' 0.87 0.83 0.90
Silk Emergence (days)' 0.88 0.84 0.91
Silk Delay (days)*" 0.57 0.42 0.68
* Plant and ear heights measured in four environments and anthesis, silk emergence and silk delay measured in three environments.
Exact 90% confidence intervals as defined by Knapp et al. (1987).
" Days from planting to 50% anthesis or silk emergence.
^ Difference between anthesis and silk emergence.
107
Table 34. Estimates of heritability (h^) with confidence intervals based on half-sib progeny from the Design III analysis of variance across five environments*.
Confidence Interval*"
Trait h2 Lower Limit Upper limit
yield (g plant"') 0.44 0.27 0.58
Ear Diameter (cm) 0.75 0.67 o
• 00
Cob Diameter (cm) 0.85 0.80 0.89
Kernel Depth (cm) 0.59 0.46 0.69
Ear Length (cm) 0.65 0.54 0.73
Kernel Rows (no.) 0.94 0.93 0.96
Ears Plant"' (no.) 0.40 0.22 0.55
Barren Plants (%) 0.30 0.10 0.48
Root Lodging (%) 0.24 0.01 0.43
Stalk Lodging (%) 0.56 0.43 0.67
Dropped Ears (%) 0.30 0.08 0.47
Plant Height (cm) 0.94 0.93 0.96
Ear Height (cm) 0.93 0.91 0.95
Anthesis (days)® 0.83 0.77 0.87
Silk Emergence (days)*^ 0.83 0.77 0.88
Silk Delay (days)** 0.50 0.32 0.63
* Plant and ear heights measured in four environments and anthesis, silk emergence and silk delay measured in three environments.
Exact 90% confidence intervals as defined by Knapp et al. (1987).
® Days from planting to 50% anthesis or silk emergence.
Difference between anthesis and silk emergence.
108
Table 35. Estimates of heritability (h^) with confidence intervals based on S, progeny analysis of variance across five environments'.
Confidence Interval''
Trait h2 Lower Limit Upper limit
Yield (g plant"') 0.81 0.75 0.85
Ear Diameter (cm) 0.84 0.80 0.88
Cob Diameter (cm) 0.83 0.78 0.87
Kernel Depth (cm) 0.74 0.66 0.80
Ear Length (cm) 0.89 0.85 0.91
Kernel Rows (no.) 0.95 0.93 0.96
Ears Plant'^ (no.) 0.66 0.56 0.74
Barren Plants (%) 0.59 0.48 0.69
Root Lodging (%) -0.12 -0.44 0.15
Stalk Lodging (%) 0.58 0.46 0.68
Dropped Ears (%) 0.39 0.22 0.54
Plant Height (cm) 0.96 0.95 0.97
Ear Height (cm) 0.96 0.95 0.97
Anthesis (days)® 0.87 0.83 0.90
Silk Emergence (days)® 0.86 0.81 0.89
Silk Delay (days)^ 0.58 0.44 0.69
* Plant and ear heights measured in four environments and anthesis, silk emergence and anthesis/silk delay measured in three environments.
Exact 90% confidence intervals as defined by Knapp et al. (1987).
® Days from planting to 50% anthesis or silk emergence.
^ Difference between anthesis and silk emergence.
109
heights (Tables 36 and 37). Grain yield was negatively
correlated with barren plants, silk emergence, and silk delay.
In general, ear traits had significantly positive correlations
with each other. In the TTC, days to silk emergence was
negatively correlated with several ear traits (Table 36),
while for S, progeny silk delay was negatively correlated with
several ear traits (Table 37). Therefore, late or delayed
silk emergence had a negative effect on ear development. In
both experiments plant and ear heights had significantly
positive and negative correlations with several traits. Days
to anthesis had positive and negative correlations with days
to silk emergence and silk delay, respectively. Correlations
for the Design III were similar to those of the TTC and are
presented in Table B4, of the appendix.
Genetic
Grain yield had negative associations with silk delay in
the TTC (Table 36) and barren plants, dropped ears, days to
anthesis and silk emergence, and silk delay in the S, progeny
(Table 37). Ear length had negative associations with ear and
cob diameters in both experiments and kernel depth in the TTC.
As would be expected, barren plants had a negative association
with ears plant"' in both experiments. Barren plants also had
negative associations with ear and kernel traits, stalk
lodging, and plant and ear heights (Tables 36 and 37). Root
Table 36. Phenotypic (above diagonal) and genetic correlations (below diagonal) among 300 entries of the triple testcross evaluated at five environments*.
Trait Yield (g/
plant"')
Ear Dicuneter (cm)
Cob Diameter (cm)
Kernel Depth (cm)
Ear Length (cm)
Yield 0.60** 0.28** 0.48** 0.72**
Ear Diameter 0.28 0.50** 0.77** 0.37**
Cob Diameter 0.07 0.80 -0.17** 0.18**
Kernel Depth 0.38 0.59 -0.02 0.29**
Bar Length 0.52 -0.47 -0.34 -0.33
Kernel Row No. 0.13 0.77 0.68 0.36 -0.51
Ears Plant'^ 0.36 -0.03 -0.01 -0.04 0.53
Barren Plants -0.03 0.13 -0.12 0.38 -0.36
Root Lodging 0.69 0.41 0.33 0.25 0.23
Stalk Lodging 0.55 0.40 0.30 0.25 0.36
Dropped Ears 0.17 0.23 -0.10 0.49 -0.36
Plant Height 0.48 0.40 0.27 0.31 0.34
Ear Height 0.68 0.47 0.29 0.41 0.44
Anthesis 0.40 0.31 0.25 0.19 0.68
Silk Emergence 0.14 0.29 0.23 0.18 0.54
Silk Delay -0.86 -0.09 -0.08 -0.05 -0.47
* Plant and ear heights measured in four environmnets and anthesis, silk emergence, and silk delay measured in three environments.
Days from planting to 50% anthesis and silk emergence.
" Difference between anthesis and silk emergence.
Estimate of genetic variance zero or negative.
*,** Significant and 0.05 and 0.01 probability levels respectively.
Ill
Kernel Rows
(no.)
Ears Plant"' (no.)
Barren Plants (%)
Root Lodging (%)
Stalk Lodging (*)
Dropped Ears (%)
0.27** 0.32** -0.33** -0.06 -0.01 -0.03
0.43** 0.08 -0.10 -0.04 0.00 -0.04
0.33** 0.02 -0.06 0.01 0.02 -0.04
0.24** 0.07 -0.07 -0.05 -0.01 -0.01
0.04 0.08 -0.12** -0.06 -0.01 0.00
-0.02 0.00 0.00 0.01 0.00
-0.30 -0.87** 0.00 0.01 -0.06
0.27 -0.98 0.00 -0.02 0.06
0.16 -0.18 0.23 -0.02 -0.01
0.10 0.65 -0.94 0.10 -0.03
0.31 -0.45 0.60 0.14 -0.26
0.01 0.34 -0.18 0.53 0.51 -0.19
0.00 0.53 -0.47 0.46 0.70 -0.28
-0.14 0.54 d -0.09 0.34 -0.88
-0.10 0.41 — -0.14 0.22 -0.94
0.13 -0.45 — -0.15 -0.40 -0.13
112
Table 36. (continued)
Trait Plant Height (cm)
Ear Height (cm)
Anthesis (days)*"
Silk Emergence (days)**
Silk Delay (days)"
Yield 0.20** 0.16** -0.12** -0.26** -0.20**
Ear Diameter 0.17** 0.14** -0.08 -0.16** -0.11*
Cob Diameter 0.13** 0.10 -0.02 -0.05 -0.03
Kernel Depth 0.10 0.09 -0.08 -0.15** -0.11*
Bar Length 0.16** 0.11* 0.00 -0.12** -0.17**
Kernel Rows 0.03 0.01 -0.15** -0.15** 0.00
Ears Plant'^ 0.08 0.12** 0.06 -0.03 -0.14**
Barren Plants -0.04 -0.08 -0.01 0.08 0.14**
Root Lodging 0.07 0.08 0.06 0.04 -0.03
Stalk Lodging 0.12** 0.17** 0.05 0.02 -0.05
Dropped Ears 0.00 1 o
• o
N)
-0.02 -0.03 0.00
Plant Height 0.84** 0.36** 0.30** -0.10
Ear Height 0.93 0.46** 0.36** -0.18**
Anthesis 0.74 0.83 0.79** -0.37**
Silk Emergence 0.68 0.70 0.95 0.28**
Silk Delay -0.24 -0.45 -0.22 0.09
Table 37. Phenotypic (above diagonal) and genetic correlations (below diagonal) among 100 S, progeny evaluated at five environments*.
Trait Yield (9/ .
plant"')
Ear Diameter (cm)
Cob Diameter (cm)
Kernel Depth (cm)
Bar Length (cm)
Yield 0.55** 0.28** 0.52** 0.65**
Ear Diameter 0.53 0.75** 0.70** 0.02
Cob Diameter 0.28 0.79 0.05 -0.05
Kernel Depth 0.S4 0.71 0.13 0.09
Ear Length 0.66 -0.05 -0.12 0.06
Kernel Row No. 0.15 0.73 0.68 0.41 -0.33
Ears Plant"' 0.73 0.14 0.04 0.18 0.67
Barren Plants -0.61 -0.12 -0.08 -0.10 -0.58
Root Lodging d — — — —
Stalk Lodging 0.51 0.37 0.17 0.40 0.41
Dropped Ears -0.15 -0.23 -0.21 -0.12 -0.16
Plant Height 0.37 0.24 0.16 0.19 0.41
Ear Height 0.43 0.27 0.17 0.21 0.38
Anthesis -0.08 0.08 0.21 -0.11 0.25
Silk Emergence -0.30 -0.05 0.12 -0.21 0.13
Silk Delay -0.61 -0.42 -0.33 -0.24 -0.41
* Plant and ear heights measured in four environments and anthesis, silk emergence, and silk delay measured in three environments.
** Days from planting to 50% anthesis and silk emergence.
' Difference between anthesis and silk emergence.
^ Estimate of genetic variance zero or negative.
*,** Significant at the 0.05 and 0.01 probability levels respectively.
114
Kernel Rows
(no.)
Ears Plant"' (no.)
Barren Plants {%)
Root Lodging (%)
Stalk Lodging (%)
Dropped Ears {%)
0.17 0.67** -0.56** -0.23* 0.36** -0.08
0.69«* 0.16 -0.14 -0.30** 0.27** -0.11
0.62** 0.06 -0.10 -0.23* 0.14 -0.14
0.36** 0.18 -0.11 -0.20* 0.26** -0.02
-0.29** 0.55** -0.46** -0.03 0.30** -0.09
-0.15 0.12 -0.14 0.02 0.03
-0.20 -0.90** -0.25** 0.41** -0.22*
0.17 -0.89 0.26** -0.35** 0.22*
— — — -0.03 0.11
0.04 0.66 -0.59 — -0.06
0.04 -0.41 0.45 — -0.15
-0.05 0.49 -0.47 — 0.61 -0.24
0.00 0.68 -0.65 — 0.71 -0.25
-0.12 — — — 0.41 -0.26
-0.14 — — — 0.24 -0.17
-0.01 — — — -0.63 0.34
115
Table 37. (continued)
Trait Plant Height (cm)
Ear Height (cm)
Anthesis (days)''
Silk Emergence (days)*'
Silk Delay (days)=
Yield 0.32** 0.37** -0.13 -0.29** -0.37**
Bar Diameter 0.22* 0.24* 0.04 -0.06 -0.24*
Cob Diameter 0.15 0.16 0.16 0.09 -0.20*
Kernel Depth 0.16 0.17 -0.11 -0.17 -0.13
Ear Length 0.38** 0.35** 0.17 0.07 -0.28**
Kernel Rows -0.04 0.00 -0.12 -0.14 -0.01
Ears Plant"' 0.37** 0.50** 0.28** 0.10 -0.49**
Barren Plants -0.33** -0.45** -0.22* -0.03 0.51**
Root Lodging — — — — —
Stalk Lodging 0.44** 0.53** 0.24* 0.15 -0.27**
Dropped Ears -0.13 -0.14 -0.16 -0.09 0.20*
Plant Height 0.93** 0.68** 0.61** -0.33**
Ear Height 0.93 0.71** 0.59** -0.46**
Anthesis 0.74 0.77 0.93** -0.41**
Silk Emergence 0.66 0.64 0.95 -0.03
Silk Delay -0.45 -0.61 -0.44 -0.15
116
and stalk lodging and plant and ear height had positive
associations with nearly all traits. Days to anthesis and
silk emergence had positive associations with most traits,
while silk delay was negatively associated with nearly all
traits.
117
DISCaSSION
Epistasis
Use of the TTC mating design in the F2 population of B73 x
Mol7 indicates that epistatic effects were important for
several traits. The F-test for epistasis from the TTC
analysis (Tables 8, 9, and 10) indicated that additive by
additive effects were present for ear length, kernel-row
number, ear height, days to anthesis and silk emergence, and
silk delay. Epistasis by male indicated that additive by
dominance and dominance by dominance effects were important
for grain yield, cob diameter, ear length, kernel-row number,
plant and ear heights, days to silk emergence, and silk delay.
Gamble (1962a and 1962b) reported in maize that additive by
additive and additive by dominance effects were important for
grain yield, while additive by dominance effects were detected
more frequently for plant height and ear length. Darrah and
Hallauer (1972) reported that additive by additive and
dominance by dominance effects were detected more frequently
for yield and plant and ear heights, while additive by
additive effects were more frequent for ear length.
Epistatic effects were more important for components of
yield, such as ear length, cob diameter, and kernel-row
number, than for yield per se. Darrah and Hallauer (1972) and
118
Martin and Hallauer (1976) reported that epistasis was
detected more frequently for components of yield (ear length,
ear diameter, kernel-row number) than for yield. Expression
and development of yield components occurs during short spans
of environmental conditions in early ontogeny and at
flowering. Yield is a composite of growth processes
throughout the growing season and likely to be more effected
by environment, possibly decreasing the detection of epistasis
across environments. This was likely true in the present
study because epistasis by environment was generally more
important for yield than for ear length, cob diameter, and
kernel-row number.
The expression of epistasis and epistasis by male was
significantly affected by environments. Across all traits
epistasis was affected more by environments than was epistasis
by male. For yield, ears plant"', barren plant, and dropped
ears, the epistasis by environment interaction was more
important than epistasis. Bauman (1959), Gorsline (1961),
Eberhart et al. (1964), and Martin and Hallauer (1976)
reported important epistasis by environment interactions in
maize. Gorsline (1961) suggested that the widespread and
unpredictable epistasis by environments interactions
reinforces the need for wide and repeated testing of maize
hybrids. Jinks et al. (1973) observed significant epistasis
by environment interactions in tobacco.
119
Epistatic deviation means, presented in Table 12,
indicate how epistasis was effected in different environments.
An obvious trend in Table 12 is that deviations in the two
stress environments of 1993 are generally larger than the
other environments. The two 1993 environments also had more
significant epistatic effects detected in the TTC analysis
(Table 11). Comparing the high yield environment of Ames
(1992) to the other two 1992 environments, the Ames
environment had more significant deviations and the deviations
generally were greater in magnitude than deviations from the
other environments. Epistasis seems to be more important in
the extreme environments, either high yield or low-yield
stress environments. Jinks et al. (1973) reported that the
frequency and magnitude of epistasis in tobacco was greater in
both extremes, of a range of environments.
Based on the theory presented by Kearsey and Jinks
(1968), the two parental inbreds (B73 and Mol7) have equal
opportunity to contribute to the expression of additive by
additive effects, when averaged across all possible F2
genotypes. Contributions of parental inbreds will be greater
than the Fj. Therefore, the testcross means in Table 7, will
indicate which parental testcrosses contributed to the
magnitude and sign (+/-) of the deviations. In general, the
performance level of 373 testcrosses for yield, kernel-row
number, barren plants, plant and ear heights, days to
120
anthesis, and silk delay resulted in desirable epistatic
deviations. The deviation for yield of 7.0 g plant' at 57,520
plants ha' is equivalent into about 0.40 Mg ha"'. Since Mol7
testcrosses often performed less than or similar to F,
testcrosses for these traits, they generally did not
contribute positively to the magnitude of the deviations.
Superior performance of Mol7 testcrosses for ear length
resulted in a favorable deviations. But, in general, B73
testcrosses seem to contribute significantly to the expression
of positive additive by additive effects for the majority of
traits. This agrees with Lamkey et al. (1995) who observed
that net positive epistatic effects were present in B73.
Expression of additive by dominance and/or dominance by
dominance effects can be observed in the individual epistatic
deviations of each Fj male. These effects differ in magnitude
and direction from male to male and it is difficult to
ascertain the relative effects of the F,, B73 and Mol7 testers.
For yield ranked correlations between deviations and testcross
means, however, may provide insight into the influence of each
tester (Table 38). F, testcross means had a highly significant
negative correlation (r=-0.61**) with deviation means,
indicating that for a given male a high F, testcross mean
resulted in either a negative or small positive deviation.
B73 (r=0.25*) and Mol7 (r=0.22*) testcross means had a postive
association with the deviation mean. Family means (combined
121
mean of F,, B73, and Mol7 testcrosses) had no association with
deviation means (r=0.08), indicating that individual Fj
genotypes may have large epistatic deviations from either
large or small family testcross means and vice versa. This
agrees with the observations of Eta-Ndu (1994). B73 and Mol7
testcross means had a negative association (r=-0.45**),
indicating for individual Fj genotypes, B73 and Mol7
testcrosses often had contrasting performance, which agrees
with the significant estimate of dominance variance for yield.
Ranks of deviation and testcrosses suggest that large
deviations, positive or negative, generally resulted from one
testcross having either a substantially greater or a lesser
yield than the other two testcrosses (Table D3).
Table 38. Rank correlations between means of F2 males across five environments for grain yield (g plant"*) . Means included are epistatic deviations, F,, B73, and Mol7 testcross means and family means (combined means across F,, B73 and Mol7 testcrosses for each male) .
Testcross Mean F, B73 Mol7 Family
Deviation -0.61** 0.25* 0.22* 0.08
F, testcross 0.17 0.21* 0.69**
B73 testcross -0.45** 0.46**
Mol7 testcross 0.47**
*,** Significant at 0.05 and 0.01 probability levels, respectively.
122
Variance Components
Pooni and Jinks (1979) indicated that estimates of
that use F, testcrosses will have a greater error, because of
greater variation due to genetic segregation in Fj testcrosses
opposed to parental testcrosses. An estimate of a\ based on
only parental testcrosses (Design III) should be more
reliable.
In the present study estimates of and rio't
differ between TTC and Design III analyses. The standard
error/estimate ratio for was similar for the TTC and Design
III. In addition, covariance analyses had a ratio similar to
TTC and Design III for all traits, with the exception of
yield. The standard error/estimate ratio for yield from
covariance was 0.66, while TTC and Design III had ratios of
0.36 and 0.34, respectively. The greater error associated
with estimation of from covariance analysis is not
unexpected, considering progenies from two different
experiments were used and the standard error of a covariance
was derived from mean squares of half-sib and S, progeny and
the mean product.
The estimates of the average level of dominance were
likely biased by linkage disequilibrium which will be at a
maximum in an F2 population. If coupling phase linkages
predominate, and will be biased upward. Repulsion phase
linkages will cause a downward bias of ®nd upward bias of
123
a\. Both types of linkage may cause an upward bias in the
average level of dominance. Han and Hallauer (1989) reported
that the average level of dominance for grain yield decreased
from 1.28 to 0.95 after five generations of random mating.
Linkage did not bias estimates of but a\ decreased by 40
percent with random mating. However, the two estimates of
average level of dominance did not differ from complete
dominance, indicating linkage may have only a small bias on
the average level of dominance. The average level of dominance
for yield from the present study was 2.44. This is a distinct
contrast to the estimate of 1.28. If a\ from the present
study is reduced by 40 percent, the level of dominance is
1.89, which is still greater than the majority of estimates
reported in previous studies (Gardner et al., 1953, Gardner
and Lonnquist, 1959 and Moll et al., 1961). The estimate of
level of dominance (2.44) supports the presence of
overdominant gene effects in the expression of yield.
A large difference in the estimate of the average level
of dominance was observed by Gardner and Lonnquist (1959) for
two samples of the single cross M14 x 187-2. Sample 1 had an
estimate of average level of dominance of 0.59 and sample 2
had an estimate of average level of dominance of 1.59; both
estimates deviated from complete dominance. Sample 1 had a
larger estimate of and they suggested the environments in
which sample 2 was grown may have suppressed the estimate of
124
increasing the level of dominance. Sample 1 estimate of
a\ was 67% of sample 2, and estimate of in sample 2 was
18% of that observed in sample 1.
The estimate of for yield in the present study was
greater than observed by Han and Hallauer (1989). The
ratio was 1.25 in the present study and 0.16 in the study of
Han and Hallauer (1989), whereas the ratio was o.io and
0.16, respectively. The estimate of a\ for yield was less
affected by environment than in the present study. The
range of environments in which this study were conducted may
have decreased the estimate of suggested by Gardner and
Lonnquist (1959). Estimates of ^nd were 17% and 61%,
respectively, of estimates reported by Han and Hallauer (1989)
indicating both have decreased in the present study. Other
traits between the two studies were less affected by
environments and average levels of dominance estimates were
consistent between studies.
Weighted Least Squares
Weighted least squares analysis was conducted to
determine the relative importance of epistatic variance
compared with and Triple testcross analysis indicated
epistatic effects were important for several traits. However,
estimates of digenic epistatic components were generally not
greater than their standard errors, negative or unrealistic.
125
Models which did not include digenic epistatic components
often provided an adequate fit and more precise estimates.
Therefore and were less important than and
for the majority of traits.
For a few traits the estimates of weighted least squares
suggest the importance of epistatic variance and support the
detection of epistatic effects in TTC analysis. Several
traits had digenic components greater than twice their
standard errors and for these traits the TTC analysis also
detected significant epistatic effects or interaction of
epistatic effects by environment. For traits in which the TTC
detected additive by additive effects or additive by additive
by environment effects, inclusion of 'the weighted least
squares model generally decreased estimates of The
decrease in generally did not result in nonsignificant
estimates or estimates different from the nonepistatic model
3. Therefore, although is biased upward if we assume
epistasis is absent, the magnitude of bias is small.
Generally, was not biased by epistasis in models 4 and 6.
Bias observed in model 5 is likely a result of an inadequate
model. Dominance variance was less important than most
traits and may be less likely to be biased by epistasis.
All models had a significant lack of fit for ear length
(Table 21). Models 2 and 4 increased the R-square values with
inclusion of compared with models i and 3. Estimate of a\
126
decreased by approximately 40 percent with inclusion of in
models 2 and 4. Estimates of fi^om models 2 and 4 were
greater than their standard errors and similar to estimates of
magnitude. These observations support the detection of
additive by additive effects in the TTC analysis. However,
standard errors did increase in models 2 and 4 and the
estimate of c^aae was negative, which may be unreasonable since
epistasis by environment was significant in TTC.
Ears plant"' and barren plants had significant epistasis
by environment interactions and epistatic deviations varied
among environments. Models 1 and 3 had a significant lack of
fit, while models 2, 4, and 6 improved the fit and increased
the R-square (Tables 23 and 24). Models 2 and 4 had small
negative estimates of and which were less than their
standard errors, while estimates of and o^aae were greater
than twice their standard errors for both traits. Model 6
gave positive estimates for which were
significantly smaller than estimates of and o^ade*
Therefore, were likely less important than
(t^aae f^^ADE these traits. The larger estimates
of a^AA/ ®^AAE» '^^AD °^ADE because of the epistasis by
environment interaction and the greater amount of among S,
progenies compared with half-sib progenies. Expectations for
Sj progenies have a coefficient of one for o^aa/ while half-sibs
have coefficient of 1/16 for ct^aa- Additive by dominance
127
epistasis is only present in the S, progeny mean square, so
of S, progeny would likely have a larger effect on this
estimate.
Model 4 improved the fit and increased the R-square
compared to model 3 for days to anthesis (Table 30) and silk
emergence (Table 31) . Positive estimates of
were obtained which had a magnitude similar to ct\ and
Although, estimates for days to silk emergence were not
greater than their standard errors, these results support the
importance of additive by additive epistatic effects as
observed in the TTC for these traits.
All traits had negative variance component estimates for
various models, with model 5 generally having at least two
negative estimates. By definition a variance is always
positive, but as indicated by Searle (1971) there is nothing
intrinsic about the analysis of variance to prevent negative
estimates from occurring. Negative estimates could arise from
an inadequate model, inadequate sampling, or inadequate
experimental techniques. Searle (1971) discussed possible
solutions to negative estimates. The best solution would be
to interpret them as zero and reestimate other components from
a reduced model.
Negative estimates in the present study were generally
small and not greater than their standard error. Also,
negative estimates often occurred for variance components
128
which were either nonsignificant or negative when estimated in
the Design III or S, progeny experiments. Generally, when a
model gave negative estimates another model for that trait had
positive estimates with greater precision, so negative
estimates were not a serious problem.
Model 5 had negative estimates that were often greater
than twice their standard errors. This is likely an
indication that model 5 was an inadequate model. Inadequacy
of model 5 may result because and have coefficients of
one in the expectation of the male by tester mean square. The
estimates of and seem to cancel each other, one being a
large positive value and the other a large negative value.
The only other mean square that contains is S,
progeny. Male by tester mean square generally had a smaller
variance than the S, mean square and will be weighted more in
the analysis. This may result in the canceling of a^j, and
estimates because they have the same coefficient.
To estimate genetic variance components it was assumed
that there was (1) diploid inheritance, (2) linkage
equilibrium, (3) no maternal effects, and (4) environmental
effects were additive to genotypic effects. Hallauer and
Miranda (1988) indicate that 1, 3, and 4 are valid assumptions
in maize. In an Fj population linkage disequilibrium will be
present. Cockerham (1956) and Schnell (1963) showed that the
effect of complete linkage is to increase the coefficients of
129
epistatic variance components in the covariances of relatives.
Larger coefficients will increase the correlation between
coefficients of first- and second-order variance components.
This would further decrease the ability to partition the
epistasis from (Chi et al., 1969). Standard errors
will be increased and significant estimates of digenic
components will be difficult to detect. Contribution of
linkage to covariances is difficult to determine, but we must
realize a bias is present. Sets of relatives whose
covariances are affected by linkage are those in which one is
not a common ancestor of the other such as half-sibs in the
present study (Cockerham, 1956). Han and Hallauer (1989)
determined that linkage did not affect and, therefore,
linkage bias of covariance of half-sibs may be relatively
unimportant in the present study.
Implications to Maize Breeding
Results of this study provide further evidence for the
presence of epistasis in elite inbreds or specific
combinations of elite inbreds, in agreement with the results
of Bauman (1959), Gorsline (1961), Sprague et al. (1962),
Schell and Singh (1978), Moreno-Gonzales and Dudley (1981),
and Lamkey et al., (1995). Presence of epistasis in elite
inbreds should not greatly effect commercial maize breeding
strategies. As discussed by Lamkey et al., (1995) commercial
130
maize breeding as commonly conducted is effective in selecting
inbreeding and hybrid evaluation, allow the fixation of
favorable epistatic effects in inbreds which have excellent
specific combining ability. Development of source populations
by crossing related inbreds and recycling elite inbreds to
form new source populations will help maintain and accumulate
favorable epistatic gene combinations, especially linked ones.
Recycling of inbreds to form new source populations could
result in the loss of epistatic gene combinations through
recombination, in particular if they are not tightly linked.
Loss of favorable epistatic combinations may explain why
breeders have difficulty developing improved recoveries of
some maize inbreds (Melchinger et al., 1988). A backcross to
the best parent may increase the ability to maintain favorable
epistatic gene combinations. However, Eta-Ndu (1994)
indicated no trend existed between epistasis and testcross
performance of Fj's and backcrosses to either parent and
suggests it is difficult to determine the best source
population when epistasis is present.
The presence of positive epistatic effects for yield in
B73 may explain why it has been a widely used and successful
inbred. It may also explain why some maize breeders have had
difficulty in obtaining improved versions of B73.
During inbreeding and hybrid evaluation, epistasis by
131
environment interaction may make it difficult to select inbred
lines, from a segregating population, which contain favorable
epistatic combinations if they are not expressed in the
environments of evaluation. Also, the tester used during
testcross evaluation will influence the expression of
epistatic effects. Gorsline (1961) and Eta-Ndu (1994)
observed variation in expression of epistasis with different
testers.
Commercial maize breeders use elite inbred testers for
early generation testing. As discussed by Sprague and Tatum
(1942), use of an inbred tester in early generation testing
will select for specific combining ability (dominance and
epistatic effects). Presently in commercial breeding, new
inbreds or hybrids are often identified by the first tester
used in early generation testing. Early identification of new
inbreds may result from favorable expression of epistatic
effects in the specific tester by line combination. Use of
the appropriate tester for a source population is important to
ensure maximum expression of specific combining ability in the
testcrosses. A tester may enhance or decrease the ability to
identify new inbred lines with excellent specific combining
ability when epistasis is present.
The large epistasis by environment interaction reiterates
the importance of widespread and repeated testing of
experimental hybrids. In this study epistasis seems to
132
provide yield stability to B73 testcrosses. Their greatest
yield advantage was in the stress environments, and they
maintained a competitive yield level in remaining
environments. The B73 testcrosses also had lower levels of
barrenness across environments, which likely helped maintain
their yield level. Epistasis could contribute to yield
instability as well. Expression of epistasis under certain
environmental conditions may provide higher yields, which are
lost under different environments.
Genotype by environment interactions also had a large
effect on variance component estimates in the present study
compared with previous studies. The presence of genotype by
environment interaction confirms the need to evaluate
progenies in several environments to determine the genetic
properties of a reference population.
133
SUMMARY AND CONCLUSIONS
The results of this study provide evidence for the
presence of epistasis in B73 x Mol7. Triple testcross
analysis suggested epistatic effects were important for
several traits in the Fj of B73 x Mol7. In the TTC analysis of
variance additive by additive effects were not significant for
grain yield, while additive by dominance and dominance by
dominance effects were significant. The additive by additive
by environment interaction was more important than additive by
additive effects per se for grain yield.
Epistatic deviations from the comparison of testcross
means indicate that B73 had favorable additive by additive
effects for grain yield, barren plants, kernel-row number, ear
heights, and silk delay. Inbred Mol7 had favorable additive
by additive effects for ear length.
Epistasis was detected more frequently and with greater
magnitude in the extreme environments in which the experiment
was conducted, indicating the importance of the epistasis by
environment interaction.
In both the Design III and weighted least squares
analysis a\ was more important than grain yield. For
the remaining traits was more important than a^j,- Average
level of dominance from Design III was in the overdominance
range for grain yield and partial to complete dominance for
134
the remaining traits. This supports the presence of
overdominant gene effects for grain yield. The average level
of dominance for grain yield may be biased upward due to
linkage. Additive variance for grain yield may have been
suppressed by a large interaction with environments. This
along with linkage effects may have increased the average
level of dominance.
Weighted least squares analysis indicated that inclusion
of the model decreased estimates of for several
traits. The magnitude of the decrease, however, was generally
not significant. Dominance variance was not effected by
inclusion of epistatic terms in the model. Generally, a^^A/
and were not greater than twice their standard errors
or negative. Therefore, epistatic variances are generally
less important than despite the detection of
significant epistatic effects in the TTC, and assuming
epistasis to be absent did not significantly bias estimates of
a\.
It is apparent that dominance variance was very important
in the expression of heterosis for grain yield in B73 x Mol7.
While epistasis was less important than dominance, the
presence of significant positive epistatic effects may have
contributed to the expression of heterosis and could explain
why B73 x Mol7 was an exceptional and widely grown hybrid.
135
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143
ACKMOWLEDGEMENTS
I am indebted to Dr. Arnel R. Hallauer for his teaching
and guidance during this research and my education at Iowa
State University. For serving on my graduate committee and
for the advice they have offered, I thank Drs. Arden Campbell,
Albert Freeman, Paul Hinz, and Kendall Lamkey.
I would like to thank Paul White for the help he provided
in the collection of data. Thanks to the many graduate
students who have provided help and advice.
The encouragement and support I have received from my
parents, Robert and Irene Wolf, and family has been very
helpful throughout my education. I would like to thank my
wife Ann for the love and support she has provided. Her
encouragement and understanding is greatly appreciated.
Finally, a special thanks to Anns' parents and family for the
support they have provided.
144
APPENDIX A. TRIPLE TESTCROSS ANALYSES BY ENVIRONMENT
Table Al. Triple testcross mean squares, means, and coefficient of variation (CV) for six traits measured at Ames in 1992.
Mean Squares
Source of df yield Ear Cob Kernel Ear Kernel Row Variation Diameter Diameter Depth Length Number
g plant"' cm cm cm cm no.
Set (S) 9 1639.16 0.125 0.243** 0.394** 3.30 1.01*
*,** Significant at the 0.05 and 0.01 probability levels respectively.
158
Table A14. Triple testcross mean squares, means, and coefficients of variation (CV) for plant and ear heights measured at Ankeny in 1993.
Mean Squares
Source of Variation
df Plant Height
Ear Height
cm cm
Set (S) 9 1472.28* 1073.51**
Rep/S 10 305,83** 149.04**
Tester(T)/S 20 435.73** 285.71**
B73 vs Mol7 10 824.35** 517.29**
Epistasis 10 47.11 54.12
Male(M)/S 90 289.74** 200.37**
T X M/S 180 72.95** 45.09**
B73vsMol7 X M 90 84.51** 46.74**
Epistasis x M 90 61.52** 43.45**
Error 290 33.92 27.92
Overall mean 226.89 117.59
CV (%) 2.56 4.48
*,** Significant at the 0.05 and 0.01 probability levels respectively.
159
APPENDIX B. DESIGN III ANALYSES ACROSS ENVIRONMENTS
Table Bl. Mean squares, means, and coefficients of variation (CV) from the Design III analysis combined across five environments in 1992 and 1993, for six traits.
E x M/S 360 333.41** 0.036 0.014 0.032 1.65** 0.33
T x M/S 90 1855.95** 0.152** 0.036** 0.084** 5.31** 1.48**
E x T x M/S 360 299.64 0.035 0.013 0.034 1.30** 0.31
Error 950 267.70 0.032 0.014 0.031 1.05 0.35
CV 14.35 4.25 4.53 10.84 6.77 4.09
Overall mean 114.06 4.23 2.60 1.63 15.11 14.43
*.** significant at the 0.05 and 0.01 probability levels respectively.
Table B2. Mean squares, means, and coefficients of variation (CV) from the Design III analysis combined across five environments in 1992 and 1993, for five traits.
*,** Significant at the 0.05 and 0.01 probability levels respectively.
Table B3. Mean squares, means, and coefficients of variation (CV) from the Design III analysis combined across four environments in 1992 and 1993, for four traits.
E x M/S 270(180) 43.34** 41.04** 2.23** 2.01** 1.21**
T x M/S 90 203.75** 123.90** 4.52** 4.77** 1.65*
E x T x M/S 270(180) 38.33** 36.09** 1.75 1.61* 1-21**
Error 760(570) 29.28 27.38 1.63 1.29 0.91
Overall mean 2.47 4.74 1.52 1.31 39.85
CV (%) 219.42 110.45 84.06 86.45 2.39
*,** Significant at the 0.05 and 0.01 probability levels respectively.
' Anthesis, sillc emergence, silk delay were measured in three environments and degrees of freedom are listed in parentheses.
Table B4. Phenotypic correlations (above diagonal) and genetic correlations (below diagonal) based on 200 progeny of the Design III analysis across five environments.
Trait yield (g/
plant"')
Ear Diameter (cm)
Cob Diameter (cm)
Kernel Depth (cm)
Ear Length (cm)
yield 0.64** 0.32** 0.51** 0.75**
Ear Diameter 0.28 0.50** 0.79** 0.41**
Cob Diameter 0-05 0-77 -0.14* 0.22**
Kernel Depth 0.38 0.52 -0.15 0.32**
Bar Length 0.44 -0.48 -0.26 -0.38
Kernel Rows 0.09 0.72 0.62 0.29 -0.49
Ears Plant"^ 0.43 -0-05 0.14 -0.27 0.46
Barren Plants -0.04 0-14 -0.28 0.60 -0.21
Root Lodging 1.17 0.86 0.67 0.43 0.35
Stalk Lodging 0.55 0.33 0.26 0.17 0.42
Dropped Bars 0.05 0.30 -0.18 0.69 -0.35
Plant Height 0.51 0.34 0.25 0.22 0.35
Ear Height 0.67 0.41 0.25 0.33 0.47
Anthesis 0.47 0.33 0.29 0.14 0.73
Silk Emergence 0.17 0.26 0.22 0.13 0.62
Silk Delay -0.90 -0.24 -0.23 -0.07 -0-39
*,** Significant at the 0.05 and 0-01 probability levels respectively.
* Plant and ear heights measured in four environments and anthesis, silk emergence, and silk delay measured in three environments.
APPENDIX C. S, PROGENY ANALYSES ACROSS ENVIRONMENTS
AND BY ENVIRONMENT
Table CI. Mean squares, means, and coefficients of variation (CV) from the Sj progeny analysis combined acroBS five environments in 1992 and 1993, for six traits.
G X E 370 370.07** 0.041** 0.023** 0.030 1.26 0.53*
Error 458 251.02 0.032 0.018 0.030 1.12 0.44
CV 17.06 4,37 5.23 11.38 7.49 4.72
Overall mean 92.87 4.10 2.57 1.53 14.13 13.99
*,** Significant at the 0.05 and 0.01 probability levels respectively.
Table C2. Mean squares, means, and coefficients of variation (CV) from the S] progeny analysis combined across five environments in 1992 and 1993, for five traits.
*,** Significant at the 0.05 and 0.01 probability levels respectively.
Table C3. Mean squares, means, and coefficients of variation (CV) from the S, progeny analysis combined across four environments in 1992 and 1993, for five traits.
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CM OJ OJ "C
CO in •>4' CM CM 00
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CM OJ 'O CO f O CM o in OJ d ro CM
CM N ! OJ CM CO o in d d CM
N! in N! N! * 7 r o in OJ in OI CO in -O 1
S S S H S S S S S S S S S S S S ^ S S e S S S S S S o o o o o o o c j o o o o o o o o o o o O O F O O O O O O O O O C N J O O O O L A O O O O O O O O O O O F M O O O O O O O O O O O O O O V O
o o N . o o o o o o o o c M o o o o « ^ o o o o o o o o o o o c M o o o o o o d o c > o o o d o (Mo
o o o O CM
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Q O O O ro in NT
o o > o « - o
o OJ d d d ro o d d ^roinoo>rocMco>3"*—*ocM«oo>co*oi^mO'sjmo*'Oi/^*o*s*>oo>j'CO>o
000*~00^000*~000*~00*-0^CM0*— 0«—O*— OOCMOO * ' I I I I I I I I I I
2 2 S S P P 2 9 2 S ® 2 ® 2 ^ ^ ® ® ® ^ ® ® ® S ® ® ® ® o ® o o o o o o o o o o o o o o o •^^^^N»h>*00OO0i«^Q0«*03-»^^0u>«.*^0^«*<»9?n00mc0C0C0mo*oirk*>9^«->cMtrvtnc000>00«CM^0Q ^oo(\JOCMO<i~roooooocMK>or-ocMCM«-ororMoo«-orocMcMo«--d«—dod^-ocModcM l l l l I l l l l l l I I I I I l l l l
o r o o o o OJ o o .40
o r o o r o o o o o o o o CM .60
o «»*
o o o r o o o o o ^ CM O o o o o i n o •4- ,30 o o o ,20 O o o o 30
6
0
30
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0 o o o o 60
3
0
o o o r o d 1 d 1 o • d o o o 1 1 o d I I* o o d o 1 * — d o o 1 1 d o 1 o d 1 1 1 o d d 1 1 o d
o N T o <r~
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0
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o r o o i n .30
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o o o r o .30
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CM o o •— CM
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o CM
o CM 7
0
o CM 6
0
o o T- O
d d o 1 d d d t o d d 1 1 d o d 1 d d d d d 1 d d o d 1 * d d 1 d d d 1 1 1 1 d
o OJ o o o o o N T o i n o OJ o CM o r o o CM o o r o .50
.1
0
.30
.1
0
o r o o CM o o o o * o o o i n ,10
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0 o r o o •— 30
9
0
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!S; CM ro CM ro vT in CM in ro in o o o o O o O o o O o o o 5 ro ro ro ro ro N. r- in in ro ro ro «4' •»* •4- •st m in O* Ok O o o i>0'0*Oh-h^N.eocoo«o»»'Ooo^^^*-cMCMcoeoeococo 'CM^fMfMCMfMrvjtMCMcMrvjfnrororof>OforofOKico««wco
(MCMOJCMrviCMIMCMCMCMrMCMCMCMrvjCMrMCMCMCM
ffi5£5lQ5Q!Gif51G!Q!£5!C5QSGiOi£51GlCi£JK5iG!GiDCi£}*£>55^^^^*^*^''^*A5\inStninin55SSS o o o o o o o o o o o o o o o o o o o O O O O O O O O O O O O O O O O O O O O O O O O O O rOKifOforoKiK)roforornKiK)Kirororopor<iroroKiforofororoK)KiroKirnt>oroKirorornroromroroKiK)
Table D3. By male, for grain yield (g/plant): Means across environments of epistatic deviations, families (coirbined mean of F1, B73 and Mo17 testcrosses), Fl, B73, and Ho17 testcrosses. Ranks of means are also presented. Ranks for F1, and Ho17 testcrosses are presented both among the 100 means for a given tester and across the 300 mean of all testcrosses.
Hate Deviation Fafflily F1 Rank among B73 Rank among Mo17 Rank among Ranks among 300 testcrosses Mean Rank Mean Rank Mean F1 means Mean B73 means Mean Ho17 means F1 B73 Hoi 7
m O o O O in o in in in o o in in in O o o O in O O in O O o o o in in o in o o o in O in o O in o in tn o N rsS in tg OJ m CM m w d Kl N rn CM Kl rn rn >» m OJ m CM rn rn d (0 m sf ro ru OJ •- rn C*J rn m rn CM CM in in e o in in o in in in o o in in in o O in in in o o in o o in o o tn in o in o o o tn o tn o o in in in in o in 00 oi m 00 s CO in ro 00 00 in CM 00 00 in oo in 00 :SSSS rn 00 in 00 CM CO CM OO tn oo N* in Q CO in in oo 00 CO oo in ^ 00 » m tn 00 00 CM CO in CO CO CO in 00 in 00 m oo in CO o in o o in o o o o o o O O o o o o in in o o o o o o in o o o o o o o o o o o o o o o in o o o s OJ oo CM 00 4
in CO CM pa CO ^ SK CM 00 in 00 d in 00 oo s in oo 00 CM OO R 00 in 00 SK rn 00 CO oo rn CM CO CO in «o 00 « rn CM 00 CO m d CO Oo CM Ni CO d CO m CO cS CO m CO CM OO o CO CM CO in -st CO o
CO fO rw in N- 00 in in «0 o T- «r— •4' o O; sf K in N. m Oo •- CO tn oo »- OO *— •- Oo >o o O T- m (M o in o s
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CM O CM o CM CM Kl CM
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o r\j o o o o o o o o o o m o o o o o O o o o o o o o o o o o o o o o o CM O o o o o o o o O o O o O CM o o o o o o o o o o o o o o o o o o o o o o O o o o o o o o o o o
o o o o o o S* o o o o CM O d d o d d d d d d d •»» o o o o d d d d d d d d d o o d d d d d CM d d d d d
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o •-o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o T- O *- «- «- •- •-
o <3 o o CM o s s s o o in o o» o in o o in in o N. o o tn o o >o o CM o o oO o in o in o o >3- m o o m CM o o o o o •- m o o in oo o o O CM o h- o m o o «0 Oo o CM o CM o in o tn o o CM in
K5 CM 52 •s* CM rn •— in m •»» s! m «o CM >t in OJ in rn in o6 *—
m T— V CM rn in «— *— CM •»* •— «— CM sO rO in •-r-
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e o 00 o o o O' O O ^ h- o o Qs >0 o 00 O o p so N> o OS o o o 00 e s O CO o o o o 00 o o in *o o o Kl o o in -o o o ^ >o O O 0» tn o o in CO o in o >o o o o >o o CO o >»
O r««- O O 00 ->«-CXJ (M CM CM CM CM CM CM CM CM rn CM CM IM CM CM CM CM CM CM CM rn CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM
o m o o O o o CM g O O in O O N- m o tn o o o >o O tfo o CM O O in O CM g o CO O in o m
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o ^a-
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st in •va •»# Nj- in s# m >* ^a• >» •sa >*
CO Kl in IM m •- o h. N* (M in Oo 00 r>^ CO h- in oo •- CO CM in CO in m m ^ «- rn m CO m N. in in in «- o m oT CM Ch N! CM in in rn in in CO in in «o CM d «o m "O in in CO CM m CM tn tn IS
in «o CM CM in >}• ^ T— CM CO >o m Ch. in tn m m in N. m «— t—
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873
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7
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7
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N-^ r-X u. 87
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7
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7
9390
1 93
901
9390
1 93
902
9390
2 93
902
9470
1 94
701
9470
1 CM O m o 94
302 90
6E6
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6
9390
6 93
906 o m
9430
1 94
301
8910
1 89
101
8910
1 94
303 m o m •Nf
Ch 9430
3 94
304
9430
4 94
304
8910
7 89
107
8910
7 90
303
9030
3 90
303
9150
5 91
505
9150
5 90
703
9070
3 90
703
9230
2 92
302
9230
2 92
703
9270
3 92
703
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o s o CO o CO g o S o N. O o o so o CO o N. o N. o o N- N.
o ro O "O s s
«—• «— T— r» *-* «- *— CM CM •- <r~ «-» CM CM *— «— *—
o CO o o OO Nj* o CO O o CO o CO o o Os so o CO o o o o so OO o o N. O o o o «o o so O o
o in o in O o o so O CO o o o in g o 00 o in O o (0. o so O |s-o o o o o 00 o o O CO o o T- O o CO o OO o o o in
CM CM CM CM ro CM CM CM (M CM ro CM (M ro CM CM ro CM CM CM CM CM CM CM OJ ro CM CM OJ CM CM CM OJ CM ro (M CM ro CM ro ro OJ CM ro CM o •vj" O O N- O o o O o in o o sT ro o o 00 o o ro in o r— O ro o ro o o CM O CM o CO o CM o ro
o "O O CM o rv. o o
o o O ro o •o o CM o CM S o ro O ro o CO o CM o >o o r». o m o o rs. in o O st S 2 •s» -4" in •J* •4* s* -J' N* -st NJ- >3- St st St St st st St st st st st
ro o o^ CM so in ro ro Os in so o o o in — CM so o o CO NO o <o in N. ho O in in o ro m st N. st sO <y >o N! in OS CM o St o *—
•»* >* CM ro o» o» CM o! CM N> in CM •- d ro ro ro d o d ro Ch CM O d o d in CM in d CM Ch o H
in o ro d CM Os CM d st d *—
d r-*
CM ro St CM r- d St ro ro o Ol st CM CM st
u. CD Z U. R CO H
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8:8:8: CM CM CM CM CM CM 2303
23
2303
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6 CM CM ro o ro CM
CM CM ro o ro CM 23
0322
23
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23
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rS fcS o* N. o OO CO CM ro CO OO CO in CO N. a OO a o-CO o o O^ CM Os K! o» o in Os «o Oh N. O
o o in in o o o in o in o o in o o in in o o in o o o o in o tn in in o o o tn in o tn o o in tn in O o o o CXJ fs] in ro CNJ CM CM CM d ro ro »- d in C\1 d CM cv CM ro •»* CM CM CM CM CM T- CM ** CM •»» CM CM ro «— ro CM CM CM o o m o o O o in in o o o o o o o tn in O o o o o o tn O o o o o O o in in o o in o o o in tn o o o s fv oo fn oo CM CO ci 00 K ro
00 ss R d CO d oo 00 d 00
CM CO cS CM CO d 00
CM 00
CM d CO 00 s i o CM 00 CM GO s d ro oo 00 lO CO 2 in CM CO 00 ro oo tn 00 C\j CO CM CO si CO ro oo ro 00 CM oo CM OO tn CO S cS
o o o in o O o o in in o o in o o in o in O in o o o o o O in in in o o O o o O in in o in in o in o o o CVJ CO o
00 s d oo d CO fc •— CO g R R f c Sff d CO fc 00
CM OO R d 00 Sg:R: CM 00 s 00 rw d CO S fcg CO
CM CO as CM 00 oS s CO d CO R n <y |v- ro CO st CM d CO
rvi m ro ro o o> o CM sf *- CM in CM 0, o in ro CM S* CM T- in oo CO CM ro in CM ON sf CO co ro tn m CM d S CM T~ "T" ss -X^ d •r~ d is r— t—
S* o 00 CM 1^ ro in CM *—
d O CM «— r" ro CO <> NO o d o ro o i d d «— CM *— w—•
d o T" ro CM CM 00 ro *— nt— *—
tn ro ro «— 00 o *—
ro o NO IS! o *—
no o
NO CM in CM ro CM
«— fT" in oo in CM N. CO CM O in ^ in in o >o in M) r- ro r- o CM ro h- in CO O T- in to *— >1" NO V- ro tn NO 00 «-<o Kl rg
CK CM rg i CM
CO CM CM d CM CM
in CM
in CM
CM •-•O CM CM CM CO CM
Sj-CM rvj
«-- 00 CM CM CM
CM CM CM
CM <r" CM IM to CM
CM sy CM to CM
ro CM CM
O CM CM CM CM CM CM CM K O CM
ro CM
CO o CM CM NO o CM
CM CO CM CM CM CM ro o CM
ro ro CM •— N. Ni- CM CM CM
tn CM CM Ch ro CM
d ro CM d CM CM
ro ro CM to o CM
ro CM CM *— CM CM CM
on ro CM
•— tn in ro CM CM
o o o o o o O o o o o o O o o o o o O o o o O O O O O O O o o o O o o o o O O o o O o O o O o O C9 o o o O O o o O o o o o o o o o o o o
o o o o o o O o o o O o o o O o o o O o
o d d d d d d d d d d d d d d d o d CM o d d d o d d CM d d o d d d d o d d d d d d d d d d
o o o o o o o o o CM o ro o o o o o CM o o o o «-• o
ro o o o o <> o <o o
o o o ^ e o
o o CM o Nf
o o o o T" o o *- o o CM o
ro o o «— ro o o o in o CM o o o o o o o o o o o CM o o o «-
o d d d CM d CM d CM CM CM d >d CO d CM d d in CO CM d CM CM d CM NO CM NO d d d d CM CM o d d CM
o o o o o o o ro O o o o O o o o o e O o 'O o o o o o ro O o o o o o o o o o o o CM O o o o ro o o o
o O o o o w- o o o
o o O O «— O o o o o o o o o o O o O o o o o o O CM o o o o o d d >o d d d d d CM d d d d d o d >t d d K cO CM o d CM d o d CM d d d d CM d d d d d d d
o o o o o o o o o O o o o o o o o o o o o o o o O o o o o o o o o o o o O o o o o o o o o o d d d d d d d d d d d d o d d d o o d d d d d o d d d d o d d d d d o d o d o o d d d d
o o o o o o o o o o o o o T- o o o o o o o «- o CM
o *— o o o o o o o o «- o o o
o o o o o o o OJ o o o o o o o o o o o o ro o o
o o o o o o o o o o
o o o o o o o o o
*— •" *• '• '- *- '- *- *-
o rvj o o o «-• o o o in o o o o o o o ro
o ro o o o o ro CM o in o o o >* o *-• o c o rs. o o h- c^ o o o SO o o o •— o o o ro O O «- o <3 o o o o *— o o« o CO o no o CM
o o o o in
o no o ro o o o o> in "6 CM •J- od ro in in ro ro CM T— in ro sT T-" in CM r«- CM in >o ro >3- in CM «-• ro St in <o ro ro *-* tn *— fO NO CM sj- in ro ro st CM w—
o o h-o o r o CM •
o m o p o o in o in o o in o CM
o o o 00
o o o ro O o o r
o "O o c> o o o 00
o o o o in 00 o >o o o o
CM O o tn o
h-o o>
o o o o o o o o ro o CO o CO o o sT ro OJ po tn *- CM CM ^ >T •— o^ %o ^ r— ro N! >» CM >6 ro d
•— sf d rC ro w— ^ >o CM NO ot r^ >» sj- in o ««.* CM CO NO
o o o o •«T O <o o «o o «o o oo §g O o CO
o o CO O 00
O CO S o -so o o o o o CO CO o o o o >o o o o o CO
O O r«» o o ro O o o tn CO g s o On o 00 o o o o h-o Oo g O
fo-o o NO r^
r- OJ «r— *-'-
*" •-• CM CM CM «— *— CM cO r-' *— *—
o oo o c> o in O oo o o o o CO o o Oj o CO o o o o h- CO
o o o r^ o CO
o o» o o g o o o >o o c> O o o r»«-o r-o CO
o m o o NO (h
o NO
O 00
o o o no o CO o o» s o no o o o •4" o 00
o o o no O 00 o o on no
Ol r>j nj CM ro CM CM CM CM CM CM CM CM ro CM (M CM CM CM ro CM CM ro CM rvi CM CM CM CM CM CM ro CM CM CM CM CM CM CM CM ro CM CM CM CM o irv o o CO o '«*
o in o to o O O GO CM o to O r««. o o CM >0 s O m o •J* O in o in o o o CO o CO o o o CM
o o CO
o ro o o ro O o O CO O o tn ro o tn O tn o tn o "»»• o
CO O o o tn
o o O ro o ro O O
•<f ro sf lO 'J' s* •J- in -J- >3- 'sT ro sa- >»• s* •st >f
u.edxi^iozu.edxt^caztkeax^fioxu.cozu.gdzu.oozu.cdxulcdz(kcdzt^a)zuucdzikcbx O. On CK r" CM CM CM ro ro ro o o O •— CM CM CM ro ro ro o O o O o O o O o o o o o o o o o O o o O o O o o o 9- ro ?2 ro tn tn in in in in in in in in in in o On o ON o On On On On NO NO NO •— tNo tw. rs. ON On CM CM
(M CM CM CM On Ot a> ON (y On On o» O O On CM CM CM CM CM CM a 5 a o O a
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rvJCMOJCMCMCM f \ J ( M C M
r". <\ikinyin*oh-coo*o fnjron in n.coo»o*-f\jpo«.*tn
ro rv> ro ru ro ro ro ro r\> ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro o o c> o Ch €h o o o» Ch o o o o o* o« o Ov c^ o c> o -o o "O <o •o "O <o o o «o o >o o o o o «o "O *o o 3 "i <o ro ro ro ro ro ro ro ro ro ro ro «.» V .. ..f . - . _k »* . -» o o o o o o o o o o «o <o •o o V) •o «o « 00 9 00 9 09 Qo 09 00 00 o «o 09 *N o vn *«• ro o 00 •>1 o vn 4>- Ul ro -* o o m vn JS Ul ro
"O «o «o •o o o «o o o o •O <3 *o <o o <o <o >o O •o O <o W OI Ul UJ M vn vn vn Ul 04 Ul ro ro ro ro ro ro vn vn Ul ro ro ro Ul vn vn ro ro ro _* _k Ul Ul Ul M* •>4 ->j vn vn Ul -g ->i -M <o •»4 •si ->j o o o O o o o o O o o o o O o o o o o o o o o o o o o o o o ui vn vn •T' Ul Ul CO 00 09 •>J vn Ul vn ro ro ro
X 09 3 09 X 00 -n z CO se 09 -n X 00 -n X 03 X CD X 03 T\ X 03 *n o ol _k o Di o Di o Di o a -* o a o a o Mb a •s •M •M -J
a a •^1
_k . •_k . «•* o o ro ro 00 *«» 00 o ro ro Ul ro Ul ro Ul 00 U4 Ul •o o Ul o r* P® S O 4> Ul Ul 03 ^ -k vn o O p» Ul ro bo In vn -• o b» •>j ro b^ ro ut 1* b^ ^ b» 'o b< is Ul o bo
*«. *«» *N *«• *S *<» vn M ''O vn vn •>J bw 1* vn k> bo bo M bo 1* bo Ul b« Ul bo -N| Ul •si Ul ro •s o o o O o o o o o o o o O o o o o o o o o o o o o o o o o o ro rj ro ro M ro ro ro ro ro ro ro Ul ro ro Ul ro ro ro ro ro Ul ro ro Ul ro lO M ro ^ 'o •s O bo o b^ bo bk 1* vn o vn *>i vn o •si Ul o bo Ov •si o o o o O o o o o o o o o o o o o o o o o o o o o o o o O o -»ro mJk — mJt — ro -* •>* —J> — -* ro _k ro _* _k _» ro ro bo ^ 09 •SI '*o -si o '*o bo bo bv bo bo to •Nl o bo o bo bo b^ •>1 o o o O o o o O o o O o o o o o o o o o o O o o o o o o o o o _k _» _» _* —* _k •«g ro Ul ro >o vn 'O Ul c>» 00 *»• •o -* 0^ ro vn Ul Ul Ul o U4 Ul ro ro o ru bv *«• ro Ul Ui b> v<. vn 1* Ul b' Ul o Ul vn •si Ul Is v> o o o o o o o o o o o o o o o o o o o o o o o o O o o o o o ^ _» •A _» . . wk <pA M 04 Ui Ul ro vn *<» M Ul ro vn ro o^ ro vn Ul Ul vn vn ro *<•
•
1* UJ o o* ro Ul -sj o O bo L» bo fo bv o 1* bv Ui o •sj >_k o ro o o* o o O o o o o o o O o o o o o o o o o o o o o o O o o o o o -Jk _* r* r* r* -* _* -* -* _k _k _k _k -k _* _k —k o o o o o o o o o 1A o o o o Ifc Ik o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
o ro o o o o o o o ro o o o o o o o o *o o o *»• ro o o *S o o ro o o o o o o o o o o o o o o o ro o ro o o l\i •*k o o ro o o * . o o o o o o o o o o o o o o o o o o o o o o o O o o o o o o
ro <> *>• o o ro o o o ro o o o o o o ro o o ro o o ro o o ?" lO o -* o* r\j o a ank o Irt o o o o o o Ul o o o o o o Ul ro o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o ro o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
ro ro ro ro ro ro ro o- o* S o* (h o ch 3 3
ro i
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i-sj»o-^'*^'oroo<'roo i—•roujoo^ro.a-^o • o o o o o o o o o
(7<>i/4lnruc}ovn4>-a4>usii.mlno*>j^ o o o o o o o o o o o o o o o o
J o o r>j o f\)
o o o o o o o r o o o o o o o
ro ro o ro *o Ul
ro o
ro •Sj
ro *o
ro ro Ul
«o Ov
ro ro Ul
ro fVJ _* o
ro Ul Ul
ro ro o
ro -s|
ro Ul CO
ro ro
ro o vn
ro ro Ul ro o o
ro Ul
ro Ul 4N ro ro -* ro 09 00
ro ro M ro Ul 00
ro o
ro ro
ro jh
ro ro o
ro Ul
ro ro ro ro ro ro o -» o o Ul "sj 00 vn
ro M O ro ro o
ro Ul •sj
ro Ul ro
K ro ro o ro Ul
ro ro
ro ro
ro Ul *«•
ro ro Ul
»0 -Sj o -* M* fo Ul Ul ro Ul Ul Ul fo Ik Ul -Ul fo fo b fo U M fo Ul vn fo • ro fo vn fo b ro
»o -» -si ro ro
•lA O Ul o 00
ok o o o
Ul ro o
Jo •Mk Ul o
—k «k •S4 00 o ro o
—k Mb o •ts ro
•A ^ ro -» ««• ro :8 1 Ul
•_h Mh o o ro Ul ^ <o "O ro o «•* o oo ro Ul
Ul •Sj ro 1 CO M* ro Ul Ul Ul Ul •A bo o Ul Ul Vj IM Ul fo Ul Ul CO b fo b fo 1a b b^ 'o Ul vn b^ ^ V* vn bo be fo M V* bo b 1*1 00 •si ro %o
o» s 00 ro
CO o 09 s S 09 CO ro
09 s 00 Ul ri?! 00 ro Co
00 S s s 00 ro s 09 09
ro 09 00 _* 3 00 s 09
ro o o o o o vn b b Ul Ul Ul b Ul b Ul Ul b b In b b i/i Ul 1/1 Ul b Ul b uib b b b In b b b
• o In b b \n In
00 •^ Ul
00 ro 00 ro a oo
ro 00 Ul 00
ro 09 ro
00 o CD Ul 00 o 00
Ul 00 vn CO M 09 UJ 00 00
ro Ul >S g CO 00 mk _k ga 00 ro
00 Ul
00 00 00 00 00 00 -» ro o o ro a 00
ro K 09 Ul g 00 Ul
00 Ul
00 09 M 09 Ul g
vn Ul o o vn o b b b b b Ul o b Ul b b b b b b b b b o o Ul b o Ul vn o Ul o Ul b b In b b b • Ul b b b
o — _* •
ro U4 mJt _k ro Ul Ul ro ro Ul - Ul ro *s ro «i* Ul o ro U4 Ul Ul Ul •a Ul Ul mk M ro ««• to CO •_k vn Ul o o In vn b Ul b Ul Ul b vn b b b Ul Ul b b Ul o b Ul Ul Ul b b Ul Ul b b Ul b Ul Ul b Ul b b tn Ul b Ul Ul
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Table 05. continued.
Env. Entry Hale Tester YD ED CD KD EL RN EP BP RL SL DE PH EH AN SE SO
UJ U4 M M Ui l/J 04 Ul ut U4 Ul Ul Ul M Ul UJ UJ UJ UJ UJ o o o O o o o o o o o o o o O o o o o o o Ul «Jt Ul Ul Ul Ul Ul Ul Ul Ul Ul UT Ul Ul Ul Ul Ul UJ Ul Ul Ul
•A •A >0 "O 'O o •o «o *o «o o «o «o o "O "O "O
*«. M U4 Ul UJ M Ul m UJ UJ ro ro ro ro ro VJl OJ ro -* & o CO •>i Ul Ui ro o «o oo •N Ul
00 03 t>j r\j IV*
09 ro r\j ro
00 03 OB ro ro ro 09 CO 09 09 00 09 09 00 00 09 09 00 ro ro ro O <} •O •o «o "O «o o >o o O *o 2 2 o 2 00 09 00 V/1 Ul Ul •p -«g -sj o o o _k o o o o o o o o o o o o
—* Ul Ul ut Ul Ul Ul UJ UJ UJ ro ro ro *«•
2.a
sss83sss;sssssss8$ssssssss O O O O O O O O O O O O O O O O O O O O O O O O
^ oa o 09 •>1 ro bo o 'o ro 1* Ul bo bo bo Ul M in Ul
09 q» ^ Ul o CO o UJ UJ
O 00 C UJ
09 ->| -»4 "O •<4 -* Ul 9»
•O « 00 UJ Ul 09
Ul o In lo t\> o Ov Ul bo Ul
Ul UJ UJ UJ UJ UJ UJ *»• UJ 4N UJ UJ UJ UJ UJ UJ M UJ *0 UJ *s *s *S «s «s Ul Ul «0 UJ -s> o UJ Ul «o *o -g Ul o 00 ro oo Ul Ui ro o •s UJ o 00 o 00 -g ro ro o UJ ro oO Ul o o o o UJ o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro bs Ul tn ro Ul ro bo o* Ul b» Ul b«. 09 Ul o b i" o* Ul bo In bo -sj is 00 -g -»j *g «s •ssj Oo ut Oo •xg
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o O o o o o o O O o o o o o
Ul -si OS b* Ul Ul Ul Ul Ul -vj Ul *<• Ul bv Ul Oo UJ Ul Ul is Ul Ul Ul bo Ul Oo Oo bo Oo Ul ut • Oo Ul
a Oo o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
_fc aA —ft -ft . . —R —ft —ft -ft Ul UJ UJ o Ul Ul Ul Ul Ul Ul UJ Ul Ul Ul *«• UJ Ul Ul Ul Ul UJ ro UJ ro Ul Ul UJ UJ Oo ro *s Ul UJ *S Ul Ul Ul Ul Ul o k) Ul c^ o ro o >o *0 -sj b» Lft o ro 09 to Ul bo bo bv Ul bo UJ ro bo ro bo ro UJ ro is «S UJ Oo UJ o o o o o o o o o o o o o o o o o o O o o o o o o o o o o o o o o o o o o o o o o o o o o
. -A —ft . UJ UJ UJ Ul *>» ro Ul UJ ro o. UJ ro Ul Ul ro Ul UJ ro Ul Ul ro UJ UJ o» 4>. UJ o* Ul #s Oo *S UJ *s UJ Ul . s UJ Oo Ul
Ul ro Ul Ul 4N Ul bv Ul -J bo o ro •si b ro Ul ro *<« ro o UJ o •sj Ul O CK "•J ro is is «sj • —ft ut ro ro o o o o o o o o o o o o o o o o o o o o o o O o o o o o o O o o o o O O o o o o o o o o o
o o o r* o •pjt o —k -ft -ft 7* -ft o -ft -ft -ft -ft o -ft o —ft -ft —ft •A -ft -ft -A —* o ..A o —ft
«o o o o o o o o o o o o o o o o o -si o o o o o •>1 o o o o o o o o • o o o o 00 o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o sa o o o o o
-* —Jk -ft UJ . -* UJ .
Ul Ul o o Ul o o o o o o o o« o o Ul Ul Ul o o o o Ul Ul o Ul o o Ul o o Ul o o o o o o o o —ft o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o Ul o o
o o o ro o o o o o o ro o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o fo o o o o o o _k o o o ro o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o CD o o o o o o o o o o o o o o o o o o o o o o o
ro o jo o o o UJ o o OV ro o UJ Os Ul ro ro UJ UJ Oo ro ro o o 00 o ro o o o o Ul ro p o o o o o Ul bo o fo o o o o ro o Ul Ul o —ft *«• o *<• •M k> *>. Ul ro o o is o bo o o o UJ bo is o o o o fO o o o o o o o o o o o o o o o o o o o o o O o o o o o o o o o o o o o o o o o o o o o o o
•> ro o o o ro o o Ul o o o ro o Ul o o o o o ro o UJ o UJ ro ro o Oo o o ro o o «S o o Ul o o to «s U4 Ul Ul UJ U4 Ul o Ul o o UJ o o 09 o o o o o o o o o o fO o o •o Ul UJ o Ul o o UJ o o k> o o o o o —ft ro
e» a« ->i oo rj hJ
ro o Ul
—ft o 09 o
oO Oo —ft o o
—ft o Oo o Ul o Ul
—ft
—ft Ik Ul bo is ro Lft ui <o I 00 vn
Ul S N *0 00 Oo Ul
—* —ft oO oO O O
Ul ro •ts o o -• o Ul «s
O oO O Ul «Jl Oo
Ul fs 00 fo i bo o ut is is 1a ro Ul
00 oO
00 o *o —'
00 "O o o 00 oO 00 00 —ft >0 ^ ^ o UJ
oO o o " O ^ O o O O O O O Q p m O O O O O O 0-»0'0*S45$-SJ«0'N 00 oO
^ o 00 00 oO 00 o So 00 00
j® r* Ul Ut o Ul o o o o o o o O Ul O O U l U I U I O U I U l O U l o o
• Ul o Ul o Ul In
s83 <0 00 >0 "o -ft 00 -* o u1 o u1 o ui
«o o Ul !S o ro "O ro
«o ro
oO ro o UJ ro
o UJ •o ro o ro oO
o •o UJ
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o o o o o o o o b b b In In ut b Ul ut mouiovnouivnuioovnoui 2§ ro o oO 00
-ft 00 oO *0 O UJ
oO ro «o « *o -A ro ro b b b b ut Ul b In Ul Ul In b b
U) UJ ro ro to ro UJ UJ -* -»ro -ft ro —ft o ro UJ -ft ro *s -ft ro 4N UJ s ro ro Ul ro -* ro
o b Ul Ul o Ul o O Ul Ul Ul o Ul Ul Ul Ul o O Ul b Ul o Ul b o o Ul Ul b Ul o rs) iM f\i rv> o o ui o
o in o O in in O in O O o in O in in o O in o O o O o in in in O o o in in O in o in in in in in in o in in *— CM rv nj o ro ru CM "" CM o ro m rn CM CM K5 *- fA CM CM rO CM ro CM CM CM CM CM nj
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CM o s s s i CM CM ? CM <> o!
CM ro c> 50 CM o* rO Ch
o c> o o
CM CM 50 CM CM O o
s Ov CO CO
o o CO
CM o
in o o o in in o o in o in o in o o o C9 in O o o o in m o in in o o in in o in o in o o in in in in in o
00 ss 00 s o
CO C> CO s
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o CM O" i •— O" 3 3
o! CO o o» CO
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in -* 00 00 CM N* *o » CM o KJ •>0 N. *o «- CM >o ro ro o ro •- «- CM CO CO o CM -* •»* CO o d o CM
K. CM O CM CM CM
nj CM CM
CM fO CM
in w— CM K CM
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in o CM
o CM CM
in CM CM
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S CM o CM
CO o CM
o CM CM o CM
N CM CM
o CM
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ro
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o CM
CM o CM
o CM
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o o CM o CM
CM o o CM CM
s o o o N! O CM
) q o o ( ) a o V- I > o o I o o i o o n o o c m o o o
o o o o o O O o o o o o o o o o o o ro CM tn o o CM o o o CM o •— o lO o CM St (M *o o o o o o >» o c> ro o o
s s ® 2 q ^ ^ 2 ^ ^ p ® ® ® ® ® o ® o ® o o o o o o o o o o o o o o o o o o o o o o o o o '^'*^*~po''t>oir40ooj>on-*~'«~'0{\i{\i*0'««*ofo*o«—c\jmn-r^*okin,^*orvjo«ocorvjo>s'>to^cooh-c\ifo>o * * * * * * * * * • • * • • • • • • • • • • • • • • • • • • • • • • • • « • • ( • • • « ( (m<>tn-«o^'«*rmm^f'^oncxioos^«of<>»mfxi<^rmo^coo*^cm«or>j>o^oroh»rmn>inco«ormrorsjr\j^m w— «— *— *-•
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
o o o o o o t n o o o o u ^ m o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o u > m i n o o « " m o o t a o o o o t n o m o o o o o i / > o m o b » m i a o ( / > o t n o i n o i n o o «- K1 *- W-W-OJ CM *-
o o *o o O o o o o o CM O CO o ro o o o o ro o o >o >o o CM o o o h-o CM o fO o o s O CO
o o *o
o •J- o o o >» o o o sT o CM
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o ro o >o o in o
CM o sj- o in
o ro o p O h«-
ro in CM *—
ro CM tn >6 p N3" *o ro in <0 CM •si- ro >* Nj- in 00 *—
in ro s* CM in ro *—
ro fO •«* CM in CM *—
o CO o >o o g O >o o CM
o o o •>» o •st o 00 o tn o c^
o o 00 o in
o CM O CM
o h-O o Ch o in
o >o O •N? O o o o ro o CO o o
o <— o o r». o «.»
o o o N. o CO
o h- o CM
o st o m O r--o CM O O *o *-
in in CM ro in ro in in ro r— in in in *«-
ro in ro CM in •»* >»• T~ ro in "•J- in ro «o ro to St ro St in St in fs.
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o ir»>oiatoir»f>jir^*»»««tmcvifo*»^'k)'»*^»0'^ir»fmn.r\jokimrvjio*>^>*fvjin'oin>y-»yiamkimo*oroininm
o >o g O ro o in o
CO o ro O rs. O a» o ro o in o O in o •o o c^ o o «o S o
St O «o o
o O St
O N. O o S O o o o in o o o CN O st
O in o CO o CM O in o CO o St O N. O CO o St O oo o N. O ro o
rs-o o 00
(M CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM CM (M CM CM CM CM CM CM CM CM CM CM CM CM
o o ro o CO
o 00
o o in o CM
o ro e o Oo o CO
o 00
o CO
o o oo o o o ro o rs- o o o o o 00
o CO
o o o o o rs. o o o CM
o tn o o o CM
o r-
o o o o o o o o CO
o CO o CM O «o o o o ro o
st st ro ro st ro S* st ro ro ro ro ro st ro st ro st st st ro ro st st st ro st st ro st ro ro st ro st st ro ro st ro st st st *o o N. o» tn in o fs-o CO ON N- st st CM <y to CO in CO o» ro in tn h-O CM «— ro in ro st CO ro *o o so CO CO in «->d 00 o
N» st 00 CO o
CM 00 o O
Ch CO
CM CO
rs! o O CO
ro Ch o i st o CM CO & CM 8i ro tn g CO tn o tn CD
st CO *6 N.
ro <3
in m
CO CO
N! 00 o
CM CO m (M 3 rs.
o tn CO
ro N. CO rs.
U . O B X t ^ C O Z U > C D X i ^ C D X ^ C D X U - C O X U . C O X U . C D X U . c f l X t ^ C O Z ^ C D Z U . C O X U . a i Z U * C D Z ( k e D X
g«—^-t-rvjojojrororo o o o o o o o o o r - m r o " ' - - - - - - -• •-* i-a !•« •-• •-• ft ft r«i r«a r-i r-a ««• (M(>j«MCM(MOJfVf\ir\JCM(M(Njr>jrvicMcvirMr\j
^rukt'«s'm*on.oo<
r^ is. h* ro ro ro st st •4- o» O o o O o o o O o o o o Is. rs» r— «— ro ro CM CM CM NO NO ro ro ro o ON ON c^ o CM CM CM CM CM CM CM
in VO eo ON o «— CM ro st in CM CM CM CM CM CM
•- «—
ON ON On On <>• On On o> On o> r" in tn in in tn in in tn in in tn o o o o o o o o O o o ro ro ro ro ro ro ro ro ro ro ro
231
in in in o in in o in o in e o in o O o o o in o o o o tn in tn o in O in o in in o o in in o in in o o o in o •" w o CM ro CM CM CM o] •» CM C\J ro o CM o CM CM o •- CM CM CM O CM CM CM CM t* IM
in o o o in m in in O in in o o in o o tn o o tn in o tn o o o in in o in O o o o O o o o in O m O o o tn CNJ rsj o o- s sis 5
CM O. fy
O CM 0> O" 55 (S
ro o
nj o* CM o> in ? •— CM
O CM CM
o» CM Ch o* GK CM Ch
CM CM •-! Ch
CM o»
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Ch 00
o m in o o o in o o o in o in in o o tn o in in in o in in in tn in o o o O in in o O in in o o in in o o in tn
i a 00 ii 00 00 §§ CM CM ot 0» CO
Ch CO s
o 0 00 o c CO
o o>
rsi (> o o o i O 00 th to o o Ch CO
CM O 00 d eo d o o i (> OS CO 00
•O in •• o O CO in o CM CM 00 in >o CM OO in o <r* o o 00 «— tn CO CM in in •># tn rw in o CO st tn CM "O CM oo o
rv h*! f>j *-<i~ •—
o o
<43 C> o
CM o
«o in Ch o
s# K o
ro ro o
ro o o o
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tn o •—
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ro CM
ro o
rn
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tn o
St O
CM O
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ro CM O
c\i <r"
tn o
CO CO tn Ch
m o o o» 00 CM O o o ro ro •- OJ Kl ro 00 f>o O «- St eo CM in in 00 in *o tn CO o W N 00 in
CNI •— OJ CM
rO *• CM
CM O o CM CM
in CM CM
CM o CM
CO Kl Ch o
CM
in CO (>
CM
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ro
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in
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ro
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ro
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CO
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st rw
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O O OO O
o O OO o o o o o o o o O o o *o o o O o •—
o o O o o ro O o o o o >o o o o o O
o o O o
CM o ts. o o o ro
o O O o o in CM ro •r* o o %o o o o >6 "O O ro ro o o o ro o CO o lo CM o o «o o o CO o o o 'C CM • d is!
o o o o •-
o o o CM o o r i ro o »o o in o o o o
CM CM s o •>0 o o CK O o o o o
ro o 00 o CM o e o CO o o CM o o o o c
o in o 00 o o o "O o o o o o
st *-o st o ro O o o o p CM N.
N e ro in N 00 «o N! ro «o IS! Ch *—
in CO o CM CM
ro O CM CM in "C eo c> CM o 00 CO in IM w d h! st
o o o o o o
Q O o o o o o o
o o o o o o o o
o o o o
o o o o o o o o
o o o o o o o o o o O o o o o o o o o o o o o o o o o o o o o o o o o o
o o o o o o o o o o o o o o
o o o o o o
o o o O o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o d d d d d
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o tn o o o o o m o in in o in
CM o o o o in o o in o o o
»— o tn o rC in o o o o in o o tn tn in o in o d d m d d
o o o o o •-
o o o o o o o o
o o o oo ss ss o o o o o o o
o o o o
o o o o o o o o o o o c> o o o o o o o o o o o o o o o o o o o o o o o o o o o
o o o o o o o o o o o
'- *-d o o ^ «— *— •- o *- o -- o o
o Kl o o ro
o o o o ® o in o in o o ro *-
o o QO <>«•
o CM o in o o ro tn
o o •O f-
o CO o <o o o o o
ro o ro o o o o CM o CO o o o in o «> o o
*o s o CM o o o ro CO o CO o o
tn o in o o rs- so
in ru ««•
in N! ro in ro ro ^ CM ro m N. ro in w ro o Kl in r-! St r-
•>* CM in ro in ro st <o CM st «o ro st in CM
o ss o o •»* ss o o 00 o o CM ro gs o in o o o m ro O O
in o o o o o o ho o o o oo o oo o o -T o
IM o oo o r o CO o o
sT o St o o o
ro •-o o 00 o CM o o o o o>
•4- tn Kl Kl «o lO o ro ot in in m in Kl <r" ^ OO in ro CO CM in fO Kl in St sa- ro ro St ir»
st st -O st ro in st st r- •—
ss O s* O o o CM in
o in s o o
in r*>- o o s9- in
o "O o >«• O O
•«» o o in
o "O o r^ o o «o o ro o in o -J-o NT o m o >* O ro o o o o
oo o in O in O st o o in in
o st o st o st o o o
in st
'• IP"
*- •—
o *o ss o h- o o
o o 09 in
o o o in o o tn CO
o o in
o rw o ro o o CO (
o o <i CO
o CO
o o in o o
o fO o oo o o g o o o •o o «o o 00 o
Kl o in o 00 o >o s o o o in
o h-o o
tn o o o
oo ro fO cO OJ OJ ro (M CM ro CM CM CM CM CM r\j CM CM CM CM CM CM CM CM ro CM IM ro CM IM ro rO CM CM CM CM CM CM CM ro IM CM CM IM CM CM CM
o o o Kl
o c
o •»* o o o o
o in
o o O O O o o c>» *-
o CM
o N. O O (M CM O O o o
CM o a> o o o
ro o -J-O o O o
CM o o- o o o CM O fo- o ro o
ro o o O o o
st o o
ro o o o o
o o ro in
^ >* ro •«» ro ro N* ro ro •Kt ro >»• ro NT ro 'J' st st ro st ro ro st ro «4- in ro 0; 00 o h. O ro o» <> tn O* CM «- •J- in >0 «o CO ro in h- h. o tn CO OO in in o in N. o»
s m rO CO
ro 2P O K o g CM Ch ho o N. CM oo o> i o tn CO CO
Ch O CO
rw rsl CM
in o CM ••
CM <o O' CO CO o« CM 00 CO CO CO s CO r». s JS o tn Ch tn 00
CM oo o
<M CO
st o* CO r d o st *0 h".
u. B73
H
oi 7
u. B73
H
oi 7
F
1 B
73
z U. CO Ho
i 7
F1
B73
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F1
B
73
Ho
i 7
F1
B73
H
oi 7
u. B73
H
oi 7
u. B73
H
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T-u. B73
N.
z tl. B73
r»-o z B
73 N. ir-
O z u. B
73
Ho1
7
u. B73
H
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ti. B73
H
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s in ss in in
2271
10
2271
10
2271
10
9190
1 91
901
9190
1 91
902
9190
2 91
902
9190
3 91
903
9190
3 22
7511
22
7511
22
7511
22
7512
22
7512
22
7512
91
906
9190
6 91
906
9230
1 92
301
9230
1 22
8313
22
8313
22
8313
92
303
9230
3 92
303
9230
5 92
305
9230
5 22
6308
22
6308
22
6308
92
307
9230
7 92
307
9270
1 92
701
9270
1
o ro
N. eo ro ro Kl
o CM sT sj"
Kl ""J" in *o •—
r«> 00 ji
o> •»*
o tn CM
in in ro •4' in in
tn «o in in ^ "T"
N. in
00 tn
o in o *-• •o CM «o ro 1
in «o
*-•
CO o «o o IS.
CM N. rs r s o« o rs. CO
in o ro
o> o in in o o ro ro
o» in o ro
in o ro
o <y-tn in o o ro ro
O in o ro
CK
in o ro
•— in in o o ro ro
o <y in tn o o ro ro
o> in o Kl
tn o ro
r" in in o o ro ro
tn in o o ro ro
in in o o Kl ro
in o ro
O in o ro
<y in o fO
o
tn o ro
o in o ro
in o ro
<y in o Kl
o
in o ro
o in o ro
tn o ro
tn o ro
o-in o ro
tn o ro
c>»
tn o ro
o« in o ro
in o ro
(> o» in tn o o ro ro
o» *— tn o ro
o* in o ro
o tn o ro
tn o ro
in in o o ro ro
232
S
8
•S
L. c
o l A l A o o • lA e i n l A l A l A O l A O l A l A o in in l A o l A O O l A o O ( A o o l A o in O l A in l A in o o o lA oi rJ rvj *— rvi r \ j •-• O r\j k S CNl KJ fO CM O *- rg ro rn f M ro K» ru Kl <M •- CM ro o CM K ! «- ro rn
Q. o>
in o o in o in in o in in
s CM M 50 o o. •-00 O
•— N1 •*• c
o o in in in o in o o in o o o o o o o in o o l A in in
s o O'
o o* o s C M C M o>> s C M ro o- C M jo o>
o o
rsj a > a C M o->
o in e o in lA o o ft GO
o« (> o OO GO CO 0» Ch
mmooinirtino
^oo^rvj*—r«.coo o«o«oooo«oono» I oo O" o
i s s s
o o o t n i n i n o o o o o o o o o o o & n o o m o o o i n o o o i a o o o o m o o^oogkcoco^co&ao^cooooo^ooo^goooo^oooosooo^oooo
r*>gorgooooqoo>roooinrg*'n.co^ror>o
0000»00«(soc>kooooookcoo« CM (> CM o o o ro oo «- ro in T- CM o 00 CM N.
s s s ^ p p s s * 3 p p p p p p ^ ^ o c 3 0 o o o o o o o o o o o o o o o o o o o o o o ^ r>" n- l/> lA lA r»> r* N» «-• If\ ia Irt ^ w" *" *" «— ir» lA l/% t/> lA lA N» N. lA lA tA h* h* N. soje»ss^{^sc5cjoft!ft*ft!ft'ft?ft!!ok?k>s010!e505c!0!ok»5oss'^?rji5nfn555>5?rnm555 0»^0>00^0>^(>0>0k0»0»0»0>000>ch0><>0»0^00^0^0«0«ch0000«0^0^0«000«0^0«0^
r s O' o •- CM ro in 00 o CM ro lA S3 h- CO Oo o CM ro in N. oo Oo o CM ro •s3* in GO 00 CO o* o«> <y (> Oo o-o o o O o o o o o o o CM CM CM CM CM CM *- CM CM CM CM CM rxj CM CM CM CM CM CM CM CM CM ro CM CM CM CM CM CM AJ CM
<y ty <y o» o Oo o o> o> Oo o> o o» O Oo Oo o o» O Oo Oo Oo Oo Oo o o> Oo Oo O* o« Oo Oo Oo Oo ««» <f~ «-» *-• in in in in in in in in in in in in in in in in in in in in in in in in in in in in in in lA in in in in in in in m o o o o o o o o o o o o o o o O o o o o o o o o o o o o o o O o o o o o o o o ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro lO ro ro ro ro ro ro ro ro ro ro ro ro ro ro ro
Table D5. continued.
Env. Entry Male Tester YD ED CO KD EL RH EP BP RL SL DE PH EH AN SE SO
Ul Ul ? ru 4N Ul —ft UJ Ul ro Ul ro Ul Ul Ul Ul Ul Oo ^ —ft UJ Ul UT Ul Ul Qo
^ —ft .ps v/1 Oo Ul
UJ Ul o o
ro o
b» o o
Ul o o
bo o o
to o
CO o o
Ul O
Ul o
-g UJ O O
bo o
Ul o o o
i^ o
Ik UJ o o fu o o
bo Ul o o o o
Ul o
•si O
i^ o o o CO o
"sJ Ul o o
is o o o •M fu O O
ba Ul o O
fu o
bo o b o
UJ Ul —A
ro Ul —ft Ul ro Os ro Ul Ul
—ft UJ Ul UJ Ul 5^ 00 Ul UJ ut Ul UJ 0^ Ul U4 Ul M Os Ul Os it ro 0^ 5^ U4 Oo 4N
—ft ru s Ul
o b" o o
b^ o
b^ o o o
-si o
*<• o o
b« o
Ul o
Ul o
*«. o o o
Ul *<• o o
UJ o
Nl o o o o o
-sj ro o o
bs b o o
bo bo o o
b bo o o 2
bx o O
Ul o
Ul o
io. o O Ul o o
ut o s
'o. Ut o o o o
b o b o
Ul o
7*7^ — VHI* r* — — r* r -»_» -k o -ft O -ft —ft —ft o -ft -ft-ft -ft -ft -ft —k _k —»
o o o o
o o o o o o o o o o o o o o o o o o o o o o o o o o o o
o o o o o
o o ^ b o o
b b o o
b 1* o o
b b o o
b o
bo o b o o o o o o o b b o o
b o b o b b o o
b b o o
b o b o o
Ul o o Ul o o o Ul o o Ul o Ul ut Ul o o o o o UJ Ul o O Ul Ul o o o o
ro o ut o o o o o ut o o o o o o o Ul
o o o o o o o o o o o o o ut o o o o o o b b b b b b b b b o b b b b b b b b b b b b b b b
o ro o o o o o o N o o o o o o o ru o o ro o o o o o o p p o o o o o Ul ? o o o o o o o o o o o o
o o o o o o o o o o o o o
o o o o o o o o o o o o o o o
o o o o
ru o b b o o
b b o o
b b o o
b b o o
b o b o o o b o b o b o
is b o o
o o b o b b o o
b b o o
b o b o b o
ro o o ro o ro ov •s - ro 00 Ov Os VII o .IN Os o ru o 00 «o 00 o Ul UJ 00 Qo o -M fu ru ru o ro Ul Oo Ul 00
—ft Ul ru
O Ul o o
b« o
Ul o o
o o o
o o
UJ o
vn o 00 o
UJ o o
ut o
UJ Os o o
o o ru o CO o o o UJ '>o O o
is b o o
00 o o o
_K ^ o o o o
bo o
bo o fu o
Ul o
fu O o o s
—* o
i^ o o
1ft i^ o o
Vo o
fu o fu o
ro ro o o o ro o ro ro o o o ru UJ ro o ru ru ro ro ro UJ UJ o o Ul o <> o o o ro Oo o o ru o ru o o
o o o o o o o o o o
o o o
Ul o o o o o o o o
>o o o
o o o
is. o o ^ i^ o o
-» *>» o o
t-ft Ul o o
—»*o o o
o o o o b o b o
Ul o o o b b o o
v. o
In o b b o o
i^b o o
In o b o b o
ro ro o ro O 00
rvi ro o M p"
ru >o
ro o 00
ro UJ
ro Ul
ru Ul
ro ro ru 00
fo ru «o
ru o
ru ru •J" o Ul o ru o ru
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