CONCEPTS SUMMARY

• Quantitative genetics focuses on the inheritance of complex characteristics whose phenotypes vary continuously. For many quantitative characteristics, the relation between genotype and phenotype is complex because many genes and environmental factors influence a characteristic.

• The individual genes that influence a polygenic characteristic follow the same Mendelian principles that govern discontinuous characteristics, but because many genes participate, the expected ratios of phenotypes are obscured.

• A frequency distribution, in which phenotypes are represented on one axis and the number of individuals possessing each phenotype is represented on the other axis, is a convenient means of summarizing phenotypes found in a group of individuals.

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• The mean and variance provide key information about a distribution: the mean gives the central location of the distribution, and the variance provides information about how the phenotype varies within a group.

• Phenotypic variance in a characteristic can be divided into components that are due to additive genetic variance, dominance genetic variance, gene interaction variance, environmental variance, and genetic–environmental interaction variance.

• Broad-sense heritability is the proportion of phenotypic variance that is due to genetic variance. Narrow-sense heritability is the proportion of phenotypic variance that is due to additive genetic variance.

• Heritability provides information only about the degree to which variation in a characteristic results from genetic differences. Heritability is based on the variance present within a group of individuals, and an individual does not have heritability. The heritability of a characteristic varies among populations and among environments. Even if heritability for a characteristic is high, the characteristic may still be altered by changes in the environment. Heritabilities provide no information about the nature of population differences in a characteristic.

• Quantitative trait loci are chromosome segments containing genes that influence polygenic characteristics. QTLs can be mapped by examining the association between the inheritance of a quantitative characteristic and the inheritance of genetic markers. Genes influencing quantitative traits can also be located by using genome-wide association studies.

• The amount of change in a quantitative characteristic in a single generation when subjected to selection (the response to selection) is directly related to the selection differential and narrow-sense heritability.