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Principles of Plant Genetics and Breeding

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158 CHAPTER 9<br />

PC2<br />

1.2<br />

0.8<br />

0.4<br />

0.0<br />

–0.4<br />

–0.8<br />

Model 1. Scaling 3, PC1 = 59%, PC2 = 19%, Sum = 78%<br />

Kat<br />

M12<br />

Luc<br />

Ena<br />

–1.2 –0.8 –0.4 0.0<br />

PC1<br />

Figure 3 Biplot showing performance <strong>of</strong> different wheat cultivars<br />

(in italics) in different environments (in capital letters) as a selection<br />

method to identify superior cultivars for a target environment.<br />

Ann<br />

Rub<br />

Aug Zav<br />

Kar<br />

Ari DeHam<br />

Dia<br />

ReRon<br />

RN<br />

Cas<br />

Har<br />

0.4<br />

WP<br />

NN<br />

Fun<br />

EA<br />

OA<br />

ID<br />

HW BH<br />

0.8<br />

Biplot was used to compare the performance<br />

<strong>of</strong> wheat cultivars under several environments<br />

in the Ontario wheat performance trials (Figure<br />

3) <strong>and</strong> to estimate relative variance components<br />

<strong>and</strong> their level <strong>of</strong> significance. Results<br />

<strong>of</strong> biplot analysis have several implications for<br />

future breeding <strong>and</strong> cultivar evaluation. A test<br />

for optimal adaptation can be achieved through<br />

the deployment <strong>of</strong> different cultivars for megaenvironments,<br />

<strong>and</strong> the unpredictable genotype<br />

× location interaction can be avoided or minimized<br />

through cultivar evaluation <strong>and</strong> selection<br />

focusing on the main effects <strong>of</strong> genotype.<br />

Multiple correspondence analysis (MCA)<br />

MCA is a recently developed interdependence<br />

MVA procedure that facilitates both dimensional<br />

reduction <strong>of</strong> object ratings on a set <strong>of</strong><br />

attributes <strong>and</strong> the perceptual mapping <strong>of</strong> objects<br />

relative to these attributes. MCA helps researchers<br />

quantify the qualitative data found<br />

in nominal variables <strong>and</strong> has the ability to<br />

accommodate both non-metric data <strong>and</strong> nonlinear<br />

relationships. In order to facilitate the use<br />

<strong>of</strong> common bean l<strong>and</strong>races in genetic improvement,<br />

Beebe et al. (2000) used MCA to study the<br />

structure <strong>of</strong> genetic diversity, based on RAPD<br />

(r<strong>and</strong>om amplified polymorphic DNA), among common bean l<strong>and</strong>races <strong>of</strong> Middle American origin for breeding purposes.<br />

MCA results (Figure 4) indicated that the Middle American bean germplasm is more complex than previously thought with<br />

certain regions holding important genetic diversity that has yet to be properly explored for breeding purposes. The first dimension<br />

Dimension 2<br />

(a)<br />

4.37<br />

2.39<br />

0.41<br />

–1.57 1.71 0.66 –0.40 –1.45<br />

Dimension 1<br />

Races or<br />

subraces<br />

M1<br />

M2<br />

D<br />

J1<br />

J2<br />

G<br />

KE<br />

1.2<br />

Dimension 3<br />

2.35<br />

0.79<br />

–0.79<br />

Subraces<br />

M1<br />

M2<br />

D1<br />

D2<br />

–2.35<br />

1.71 0.66 –0.40 –1.45<br />

(b)<br />

Dimension 1<br />

Figure 4 Plot <strong>of</strong> (a) 250 Middle American bean genotypes in dimension 1 <strong>and</strong> 2, <strong>and</strong> (b) 206 genotypes <strong>of</strong> two<br />

races in dimensions 1 <strong>and</strong> 3 <strong>of</strong> MCA based on RAPD data.

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