title: The dynamics of the rec-system in variable environments: haploid selection in a cyclical two-state environment.
abstract: The dynamics of a 3-locus infinite population with non-overlapping generations and panmixia was studied. Loci are di-allelic: two loci affect fitness under cyclical symmetric haploid selection while the third one is a modifier of recombination (rec-modifier). Selection favors alternatively haplotypes AB and ab or Ab and aB. It has been proven that under alternating selection (when period of selection consists of two generations) a dominant suppressor of recombination is displaced and the allele for non-zero recombination becomes fixed within the population. For populations with inversion heterozygosity within the selective system (i.e. with zero recombination in heterozygote for rec-modifier and non-zero for homozygotes) fixation of one of the alleles (depending on the initial point) at the rec-modifier locus is predicted. For other values of recombination parameters, the behavior of the system was studied numerically. A full bifurcation picture of parameters was obtained. Many of the results related to the case of a two-generation period hold also in the case of longer period lengths.
authors.affiliation: Institute of Evolution, University of Haifa, Mount Carmel, Haifa 31905, Israel.
authors.forename: V M
authors.initials: VM
authors.lastname: Frenkel
authors.forename: Y I
authors.initials: YI
authors.lastname: Ronin
authors.forename: A B
authors.initials: AB
authors.lastname: Korol
mesh_terms: D005828:Genetics, Population; D006238:Haploidy; D006801:Humans; D008957:Models, Genetic; D011995:Recombination, Genetic