Open AccessChange in genetic variance under selection in a self-fertilizing population.
Author(s) -
Takeshi Hayashi,
Yasuo Ukai
Publication year - 1994
Publication title -
genetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.792
H-Index - 246
eISSN - 1943-2631
pISSN - 0016-6731
DOI - 10.1093/genetics/136.2.693
Subject(s) - biology , epistasis , linkage disequilibrium , genetics , population , stabilizing selection , truncation selection , selection (genetic algorithm) , disruptive selection , genetic variation , locus (genetics) , trait , disequilibrium , evolutionary biology , genotype , natural selection , haplotype , gene , medicine , demography , artificial intelligence , sociology , computer science , ophthalmology , programming language
In this study we show how the genetic variance of a quantitative trait changes in a self-fertilizing population under repeated cycles of truncation selection, with the analysis based on the infinitesimal model in which it is assumed that the trait is determined by an infinite number of unlinked loci without epistasis. The genetic variance is reduced not as a consequence of the genotypic frequency change but due to the build-up of linkage disequilibrium under truncation selection in this model. We assume that the order of the genotypic contribution from each locus is n-1/2, where n is the number of loci involved, and investigate the change in linkage disequilibrium resulting from selection and self-fertilization using genotypic frequency dynamics in order to analyze the change in the genetic variance. Our analysis gives recurrence relations of genetic variance among the succeeding generations for the three cases of gene action, i.e., purely additive action, pure dominance without additive effect and the presence of both additive effect and dominance, respectively. Numerical examples are also given as a check on the recurrence formulas.