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Evolutionary dynamics in frequency-dependent two-phenotype models.

S Lessard

    Theoretical Population Biology
    |April 1, 1984
    PubMed
    Summary
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    Maintaining phenotypic polymorphism requires equal mean fitness across phenotypes over generations, even with genetic mutations. This study examines the precise conditions for frequency-dependent selection models in diploid populations.

    Area of Science:

    • Population Genetics
    • Evolutionary Biology
    • Mathematical Biology

    Background:

    • Frequency-dependent selection models are crucial for understanding evolutionary dynamics.
    • Phenotypic determination systems influence population genetic structures.
    • Diploid populations present complex genetic interactions.

    Purpose of the Study:

    • To analyze general frequency-dependent selection models with multiallelic determination systems.
    • To determine the conditions necessary for maintaining phenotypic polymorphism.
    • To investigate the role of mean phenotypic fitness in evolutionary stability.

    Main Methods:

    • Analysis of one-locus multiallele phenotypic determination systems.
    • Mathematical modeling of frequency-dependent selection.

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  • Examination of discrete generations and genetic mutations.

    • Main Results:

    • Mean phenotypic fitnesses tend towards equality for polymorphism maintenance.
    • Exact conditions for this equality are derived.
    • Results are applicable to various models independent of mating systems or kinship.

    Conclusions:

    • Phenotypic polymorphism is maintained when mean fitnesses equalize over time.
    • The findings offer broad applicability to diverse population genetics models.
    • The study extends to two-sex haploid models.