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A symmetric two-locus fertility model.

M W Feldman, U Liberman

    Genetics
    |January 1, 1985
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a new model for genetic selection based on mating fertility differences at two gene loci. It reveals unique stability behaviors and asymmetric linkage equilibrium, differing significantly from previous viability models.

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    Area of Science:

    • Population Genetics
    • Evolutionary Biology
    • Mathematical Modeling

    Background:

    • Traditional models often focus on viability selection.
    • Fertility-based selection offers a different mechanism for evolutionary change.
    • Understanding genetic dynamics at multiple loci is crucial.

    Purpose of the Study:

    • To propose and analyze a novel genetic selection model mediated by differential mating fertilities.
    • To investigate the stability of equilibria and patterns of linkage disequilibrium under fertility selection.
    • To compare these dynamics with those observed in viability selection models.

    Main Methods:

    • Development of a mathematical model for selection based on heterozygosity at two diallelic loci.
    • Explicit determination of equilibrium classes analogous to symmetric equilibria in viability models.

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  • Analysis of the stability properties of these equilibria.
  • Investigation of linkage equilibrium and disequilibrium patterns.

    • Main Results:

    • Fertility-based selection exhibits distinct stability behaviors compared to viability selection.
    • Linkage equilibrium occurs asymmetrically and can overlap in stability with linkage disequilibrium.
    • Stable single-locus or two-locus polymorphism can coexist with chromosome fixation, even with strong linkage.

    Conclusions:

    • Fertility selection presents unique evolutionary dynamics not captured by viability models.
    • Asymmetric linkage patterns and coexisting stable states are characteristic of fertility-driven evolution.
    • Historical factors may play a significant role in the evolution of fertility-based selection systems.