A symmetric two locus model with viability and fertility selection

Uri Liberman, Marcus W. Feldman

Research output: Contribution to journalArticlepeer-review

Abstract

A two locus deterministic population genetic model is analysed. One locus is under viability selection, the other under fertility selection with both forms of selection completely symmetric. It is shown that linkage equilibrium may occur at two different equilibrium points. For a two-locus polymorphism to be stable, it is necessary that the viability locus be overdominant but not necessary that the fertility locus, considered separately, be able to support a stable polymorphism. The overlaps in stability are not as complex as under two locus symmetric fertilities, but considerably more complex than with symmetric viabilities. Extensions of the analysis for the central linkage equilibrium point with multiple viability and fertility loci are indicated.

Original languageEnglish
Pages (from-to)31-60
Number of pages30
JournalJournal of Mathematical Biology
Volume22
Issue number1
DOIs
StatePublished - Jun 1985

Keywords

  • Viability
  • fertility
  • linkage equilibrium

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