The generalized multiplicative model for viability selection at multiple loci

J Math Biol. 1990;29(2):99-129. doi: 10.1007/BF00168174.

Abstract

Selection due to differential viability is studied in an n-locus two-allele model using a set indexation that allows the simplicity of the one-locus two-allele model to be carried to multi-locus models. The existence condition is analyzed for polymorphic equilibria with linkage equilibrium: Robbins' equilibria. The local stability condition is given for the Robbins' equilibria on the boundaries in the generalized non-epistatic selection regimes of Karlin and Liberman (1979). These generalized non-epistatic regimes include the additive selection model, the multiplicative selection model and the multiplicative interaction model, and their symmetric versions cover all the symmetric viability models.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, P.H.S.

MeSH terms

  • Alleles
  • Genetic Linkage
  • Genetics, Population
  • Mathematics
  • Models, Genetic*
  • Recombination, Genetic
  • Selection, Genetic*