Coincidence of ESAD and ESS in dominant-recessive hereditary systems.
The paper deals with the following question: when do the phenotypic evolutionarily stable state (ESS) and the evolutionarily stable allele distribution (ESAD) coincide? It is supposed that for a sexual population, in dominant-recessive inheritance system, n allele at one autosomal locus determine n possible pure individual phenotypes and each pure phenotype is obtained as the phenotype of a homozygote. Under these conditions, earlier results of the authors imply that, if a phenotype distribution is an ESS then the allele distribution generating it is an ESAD. In this paper, apart from a certain degenerate pay-off matrices, the inverse statement is also proved: if a distribution is an ESAD then the corresponding phenotypic distribution is an ESS.
Ecological Modelling Research Group, Department of Plant Taxonomy and Ecology, Hungarian Academy of Science, L. Eötvös University, Ludovika tér 2, Budapest H-1038, Hungary. garayj@ludens.elte.hu
József
J
Garay
Zoltán
Z
Varga
D000483:Alleles; D000818:Animals; D005075:Biological Evolution; D005799:Genes, Dominant; D005808:Genes, Recessive; D005828:Genetics, Population; D008957:Models, Genetic; D010641:Phenotype; D012098:Reproduction / Q000235:genetics; D012100:Reproduction, Asexual / Q000235:genetics