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Principles of Plant Genetics and Breeding

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Purpose <strong>and</strong> expected outcomes<br />

Most <strong>of</strong> the traits that plant breeders are interested in are quantitatively inherited. It is important to underst<strong>and</strong><br />

the genetics that underlie the behavior <strong>of</strong> these traits in order to develop effective approaches for manipulating them.<br />

After studying this chapter, the student should be able to:<br />

1 Define quantitative genetics <strong>and</strong> distinguish it from population genetics.<br />

2 Distinguish between qualitative traits <strong>and</strong> quantitative traits.<br />

3 Discuss polygenic inheritance.<br />

4 Discuss gene action.<br />

5 Discuss the variance components <strong>of</strong> quantitative traits.<br />

6 Discuss the concept <strong>of</strong> heritability <strong>of</strong> traits.<br />

7 Discuss selection <strong>and</strong> define the breeders’ equation.<br />

8 Discuss the concept <strong>of</strong> general worth <strong>of</strong> a plant.<br />

9 Discuss the concept <strong>of</strong> combining ability.<br />

What is quantitative genetics?<br />

<strong>Genetics</strong> has several branches, including population<br />

genetics, quantitative genetics, biometric genetics, <strong>and</strong><br />

molecular genetics. Population genetics is an extension<br />

<strong>of</strong> Mendelian genetics applied at the population level.<br />

Population genetics does not assign a genotypic or<br />

numerical value to each <strong>of</strong> the individuals (genotypes) in<br />

the population (except in the case <strong>of</strong> coefficients <strong>of</strong><br />

selection). Quantitative genetics, on the other h<strong>and</strong>, is<br />

a branch <strong>of</strong> genetics in which individual genotypes are<br />

unidentified, <strong>and</strong> the traits <strong>of</strong> individuals are measured.<br />

Genotypic values are assigned to genotypes in the population.<br />

Quantitative genetics emphasizes the role <strong>of</strong><br />

selection in controlled populations <strong>of</strong> known ancestry.<br />

Some topics <strong>of</strong> population genetics are <strong>of</strong>ten discussed<br />

in quantitative genetics books, partly because population<br />

genetics is basic to quantitative genetics.<br />

8<br />

Introduction to<br />

quantitative genetics<br />

A quantitative geneticist observes the phenotype, a product<br />

<strong>of</strong> the genotype <strong>and</strong> the environment. The genotypic<br />

array depends on mating systems <strong>and</strong> genetic linkage<br />

relationships, as well as on allelic frequencies, which in<br />

turn are impacted by mutation, migration, r<strong>and</strong>om drift,<br />

<strong>and</strong> selection (see Chapter 7). To make effective observations<br />

about phenotypes, the quantitative geneticist<br />

has to make assumptions about the mating system,<br />

allelic frequency altering forces, <strong>and</strong> the environment.<br />

Common assumptions <strong>of</strong> quantitative genetic analysis<br />

are as follow:<br />

1 Reference population defined. Allelic <strong>and</strong> genotypic<br />

frequencies can only be defined with respect to a<br />

specified population. The researcher should define a<br />

base reference population. All inferences made about<br />

the estimates should depend upon the composition<br />

<strong>of</strong> this reference population.

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