The dynamics of the rec-system in variable environments: Haploid selection in a cyclical two-state environment

V. M. Frenkel, Y. I. Ronin, A. B. Korol

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)111-124
Number of pages14
JournalTheoretical Population Biology
Issue number2
StatePublished - Sep 2006

Bibliographical note

Funding Information:
We acknowledge with thanks the support of the Israeli Ministry of Absorption and Authority for Advanced Studies of Haifa University. We are very thankful to reviewers and Marcus Feldman for constructive criticism and helpful suggestions.


  • Bifurcations
  • Bistability
  • Cyclical haploid selection
  • Evolution of recombination
  • Suppressor of recombination
  • rec-modifier

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics


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