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Evolutionary principles for general frequency-dependent two-phenotype models in sexual populations.

S Lessard

    Journal of Theoretical Biology
    |April 7, 1986
    PubMed
    Summary

    In frequency-dependent selection models, two phenotypes tend to balance their fitnesses. This balancing act is constrained by the underlying genetic system, especially with more alleles influencing phenotype.

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    Area of Science:

    • Evolutionary Biology
    • Population Genetics
    • Theoretical Ecology

    Background:

    • Frequency-dependent selection models are crucial for understanding evolutionary dynamics.
    • Two-sex, two-phenotype models with multi-allele genetic systems present complex evolutionary scenarios.
    • Understanding equilibria is key to predicting evolutionary stability.

    Purpose of the Study:

    • To investigate the evolutionary dynamics in two-sex, two-phenotype models with multi-allele genetic systems.
    • To analyze the conditions for the existence and stability of genotypic and phenotypic equilibria.
    • To determine how genetic architecture influences the balance of phenotypic fitnesses.

    Main Methods:

    • Analysis of multi-allele, one-locus genetic systems.

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  • Mathematical modeling of frequency-dependent selection in dioecious populations.
  • Examination of genotypic and phenotypic equilibrium conditions and their stability.

    • Main Results:

    • Identified two classes of equilibria: genotypic and phenotypic.
    • Determined exact conditions for the existence and stability of genotypic equilibria.
    • Established criteria for the evolutionary attractiveness of phenotypic equilibria.
    • Demonstrated that coexisting phenotypes tend to balance their fitnesses, constrained by the genetic system.

    Conclusions:

    • Phenotypic fitnesses are balanced by coexisting phenotypes under frequency-dependent selection.
    • The degree of fitness balancing is modulated by the number of alleles influencing phenotype determination.
    • The genetic system fundamentally shapes the evolutionary outcomes in these models.