Quantitative variability and multilocus polymorphism under epistatic selection
type: Item
instance of: scholarly article
title: Quantitative variability and multilocus polymorphism under epistatic selection
zbMATH Open document ID: 0788.92019
DOI: 10.1016/0040-5809(92)90015-L
author: Lev A. Zhivotovsky
author: Sergey Gavrilets
published in: Theoretical Population Biology
publication date: 1993-06-29T00:00:00Z
review text: In order to find mechanisms responsible for the maintenance of genetic variability of quantitative characters, the authors studied a multi-locus model for diploid random-mating populations under viability selection. Evolution is described by a class of general fitness functions accounting for additive, dominant and pairwise epistatic effects. Model equations are derived in terms of allelic frequencies and pairwise linkage disequilibria, and conditions for the existence and stability of multi- locus polymorphisms are stated. It is shown that in case of standard additive models the number of polymorphic loci at equilibrium cannot be greater than one. In generalized models with pairwise epistatic interactions, however, completely polymorphic stable equilibria exist.
Mathematics Subject Classification ID: 92D15
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 222013
zbMATH Keywords: additive selection
zbMATH Keywords: epistatic selection
zbMATH Keywords: maintenance of genetic variability of quantitative characters
zbMATH Keywords: multi-locus model
zbMATH Keywords: diploid random-mating populations
zbMATH Keywords: viability selection
zbMATH Keywords: general fitness functions
zbMATH Keywords: dominant and pairwise epistatic effects
zbMATH Keywords: allelic frequencies
zbMATH Keywords: pairwise linkage disequilibria
zbMATH Keywords: existence and stability of multi-locus polymorphisms
zbMATH Keywords: polymorphic stable equilibria
Wikidata QID: Q67990504
reviewed by: G. Karigl
MaRDI profile type: Publication
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full work available at URL: 0040-5809(92)90015-l
OpenAlex ID: W2156741406
description: scientific article; zbMATH DE number 222013