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Competitive divergence in non-random mating populations.

Kristan A Schneider1

  • 1Department of Mathematics, University of Vienna, Nordbergstrasse 15, UZA 4, A-1090 Wien, Austria. kristan.schneider@univie.ac.at

Theoretical Population Biology
|June 22, 2005
PubMed
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This study introduces a model for frequency-dependent selection and assortative mating, revealing conditions for maintaining genetic diversity and enabling population divergence.

Area of Science:

  • Evolutionary Biology
  • Population Genetics
  • Mathematical Biology

Background:

  • Frequency-dependent selection and assortative mating are key evolutionary forces influencing genetic diversity.
  • Intraspecific competition mediated by quantitative traits can drive both selection and assortment.
  • Understanding these interactions is crucial for predicting evolutionary trajectories.

Purpose of the Study:

  • To develop and analyze a haploid model integrating frequency-dependent selection and assortative mating.
  • To investigate the equilibrium structure and stability of genetic polymorphisms.
  • To establish conditions for the maintenance of diversity and the occurrence of intraspecific divergence.

Main Methods:

  • Analysis of a single multiallelic autosomal locus model.

Related Experiment Videos

  • Examination of equilibrium points and their local stability properties.
  • Application of a Lyapunov function to determine global stability under weak selection.

    • Main Results:

    • Derived necessary and sufficient conditions for the maintenance of polymorphism.
    • Identified criteria for the invasion of extreme phenotypes.
    • Established conditions promoting disruptive selection and intraspecific divergence.

    Conclusions:

    • The interplay between selection strength, competition, and assortment critically determines genetic polymorphism.
    • The model provides a framework for understanding evolutionary divergence driven by trait-mediated interactions.
    • Results offer insights into the conditions favoring the emergence of distinct populations.