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Deterministic single-locus density-dependent selection.

H R Gregorius

    Journal of Mathematical Biology
    |December 1, 1979
    PubMed
    Summary

    Population density influences gene selection and survival. High densities can lead to limited growth or extinction, while low densities may cause allele loss, impacting population dynamics.

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    Area of Science:

    • Evolutionary biology
    • Population genetics
    • Mathematical modeling

    Background:

    • Density-dependent selection is a key factor in population dynamics.
    • Understanding how population density affects genetic variation and survival is crucial.

    Purpose of the Study:

    • To investigate density-regulated selection at a single multiallele gene locus.
    • To derive characteristics of population growth and extinction based on density-dependent fitness.

    Main Methods:

    • Mathematical modeling of selection across separated generations.
    • Analysis of allelic frequencies under varying population densities.
    • Investigation of the 'carrying capacity function' and its relation to adaptive surfaces.

    Main Results:

    • Identified distinct regions of allelic frequencies corresponding to limited growth, unlimited growth, or extinction.
    • Characterized the 'carrying capacity function' within the limited growth region.
    • Demonstrated relationships between density-dependent carrying capacity and non-density dependent adaptive surfaces.

    Conclusions:

    • Population density significantly impacts evolutionary trajectories and survival.
    • Density fluctuations can lead to sudden allele loss and population extinction.
    • The model provides insights into the stability and asymptotic behavior of populations under density-regulated selection.

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