Linkage equilibrium in multi-locus genotypic frequencies with mixed selfing and random mating
type: Item
instance of: scholarly article
title: Linkage equilibrium in multi-locus genotypic frequencies with mixed selfing and random mating
zbMATH Open document ID: 0676.92004
DOI: 10.1016/0040-5809(89)90003-8
author: Freddy Bugge Christiansen
published in: Theoretical Population Biology
publication date: 1989-01-01T00:00:00Z
review text: The convergence to linkage equilibrium due to the recombination process is studied for a population with mixed selfing and random mating. In this model, two alleles at each of the n loci are considered. The deviation from linkage equilibrium is calculated in terms of Bennett disequilibria that measure the deviations from the Robbins proportions in the gametes. Generalized disequilibrium measures are introduced via a linear transformation to describe the deviations of the genotypic frequencies from Hardy-Weinberg ones. The convergence to linkage equilibrium is dominated by the convergence of the gametic frequencies since the convergence of the genotypic proportions due to partial selfing is comparatively rapid. The generalized disequilibrium measures are closely related to joint inbreeding coefficients for the loci. The mathematical methods remain on an elementary algebraical and combinatorial level.
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 4108554
zbMATH Keywords: autosomal loci
zbMATH Keywords: Hardy-Weinberg proportions
zbMATH Keywords: inbreeding coefficients
zbMATH Keywords: convergence to linkage equilibrium
zbMATH Keywords: recombination
zbMATH Keywords: mixed selfing
zbMATH Keywords: random mating
zbMATH Keywords: Bennett disequilibria
zbMATH Keywords: Robbins proportions
zbMATH Keywords: Generalized disequilibrium measures
zbMATH Keywords: genotypic frequencies
reviewed by: Gottfried Jetschke
MaRDI profile type: Publication
full work available at URL: 0040-5809(89)90003-8
OpenAlex ID: W2043371188
cites work: Q5830955
cites work: Q3941233
cites work: The generalized multiplicative model for viability selection at multiple loci
cites work: Descent measures for two loci with some applications
cites work: On the Probability Theory of Linkage in Mendelian Heredity
cites work: The Genetic Algebra of k Linked Loci
cites work: Direct products of genetic algebras and Markov chains
cites work: Equilibrium behavior of population genetic models with non-random mating. Part I: Preliminaries and special mating systems
cites work: Linkage and selection: Two locus symmetric viability model
cites work: Q4076577
cites work: F-statistics and analysis of gene diversity in subdivided populations
cites work: Inferences about Linkage Disequilibrium
cites work: Q3869125
Recommended article: A stochastic model for genetic linkage equilibrium
Recommended article: Prediction of multi-locus inbreeding coefficients and relation to linkage disequilibrium in random mating populations
Recommended article: Convergence of genotypic frequencies for differential selfing and positive assortative mating at a biallelic locus
Recommended article: Stable equilibria in multilocus genetic systems: A statistical investigation
Recommended article: Linkage disequilibria in finite populations
Recommended article: A population genetics model of linkage disequilibrium in admixed populations
Recommended article: A dynamical analysis of allele frequencies in populations evolving under assortative mating and mutations
Recommended article: Mutation-selection balance in mixed mating populations
Recommended article: The multilocus multiplicative selection equilibria
description: scientific article; zbMATH DE number 4108554