Evolution and intraspecific exploitative competition. II. A two-locus model for additive gene effects
type: Item
instance of: scholarly article
title: Evolution and intraspecific exploitative competition. II. A two-locus model for additive gene effects
zbMATH Open document ID: 0543.92014
DOI: 10.1016/0040-5809(84)90031-5
author: Volker Loeschcke
author: Freddy Bugge Christiansen
published in: Theoretical Population Biology
publication date: 1984-01-01T00:00:00Z
review text: This work studies the evolution of a quantitative character involved in intraspecific exploitative competition. It continues earlier work of the authors and extends the analysis to the case of two loci. These loci influence a character which is directly related to the exploitation of a limiting resource according to the model given in part I of this paper, ibid. 18, 297-313 (1980; Zbl 0468.92013)]. For each genotype a Gaussian utilization function is defined with mean depending on the genotype (and being composed by additive contributions of each of the four alleles in the genotype) and standard deviation equal among genotypes. The change in population size and genetic composition is described by a discrete time version of the Lotka-Volterra equations, where the parameters of growth and intraspecific competition are determined from the parameters of the utilization functions. The evolution of the population is analysed for a variety of different situations by theoretical considerations as well as numerical methods. In the case of small allele contributions the basic result is that for close linkage a totally polymorphic globally stable equilibrium exists where the linkage equilibrium between the two loci is high.
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 92D15
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 3865040
zbMATH Keywords: two-locus model
zbMATH Keywords: intraspecific exploitative competition
zbMATH Keywords: limiting resource
zbMATH Keywords: Gaussian utilization function
zbMATH Keywords: change in population size
zbMATH Keywords: genetic composition
zbMATH Keywords: Lotka-Volterra equations
zbMATH Keywords: numerical methods
zbMATH Keywords: small allele contributions
zbMATH Keywords: polymorphic globally stable equilibrium
zbMATH Keywords: linkage equilibrium
Wikidata QID: Q52687436
reviewed by: G. Karigl
MaRDI profile type: Publication
full work available at URL: 0040-5809(84)90031-5
OpenAlex ID: W2036034149
cites work: Subdivided populations: a review of the one- and two-locus deterministic theory
cites work: Selection in complex genetic systems. IV: Multiple alleles and interactions between two loci
cites work: Q4126119
cites work: Evolution and intraspecific exploitative competition I. One-locus theory for small additive gene effects
cites work: Q3892122
cites work: Linkage and selection: Two locus symmetric viability model
cites work: Polymorphisms for genetic and ecological systems with weak coupling
cites work: STABLE EQUILIBRIA FOR THE OPTIMUM MODEL
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description: scientific article; zbMATH DE number 3865040