On the modification of recombination with sex-dependent fitnesses and linkage

Uri Liberman, Marcus W. Feldman

Research output: Contribution to journalArticlepeer-review

Abstract

According to the Reduction Principle, when a recombination-reducing allele is introduced near an equilibrium that depends on recombination, that allele will increase in frequency. If the allele increases the recombination rate, it will be expelled from the population. There are known cases where this principle fails. In this respect, an interesting question is what kind of two-sex viability regimes support a general Reduction Principle. In this paper, we construct a model of viabilities, due to two autosomal linked genes, which differ between the sexes, such that recombination is different in the sexes. A complete analysis is provided for the case where recombination is absent in one sex. It is proved that the Reduction Principle is still valid for recombination in the other sex.

Original languageEnglish
Pages (from-to)239-252
Number of pages14
JournalJournal of Mathematical Biology
Volume34
Issue number3
DOIs
StatePublished - 1996

Keywords

  • Recombination modification
  • Reduction principle

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