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Evolution under fertility and viability selection.

T Nagylaki

    Genetics
    |February 1, 1987
    PubMed
    Summary
    This summary is machine-generated.

    Population genetics research shows that under weak selection, populations evolve towards Hardy-Weinberg equilibrium. Mean fitness increases with gene frequency change, demonstrating evolutionary progress.

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    Area of Science:

    • Population Genetics
    • Evolutionary Biology
    • Quantitative Genetics

    Background:

    • Investigates evolution at a single multiallelic locus.
    • Considers arbitrary weak selection on fertility and viability.
    • Examines both dioecious and monoecious populations in discrete and continuous time.

    Purpose of the Study:

    • To analyze evolutionary dynamics under weak selection.
    • To determine conditions for Hardy-Weinberg proportions.
    • To quantify the rate of change in deviations from Hardy-Weinberg equilibrium.

    Main Methods:

    • Mathematical modeling of population genetics.
    • Analysis of selection intensity (s) and its orders of approximation.
    • Consideration of time-dependent changes in fertility and viability.

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    Main Results:

    • Populations evolve towards Hardy-Weinberg proportions with an error of order s.
    • Rate of deviation from Hardy-Weinberg proportions is O(s2) under specific conditions.
    • Rate of change of mean fitness equals genic variance to O(s2) when fertility/viability changes are o(s2).

    Conclusions:

    • Mean fitness increases during significant gene frequency change.
    • Conclusions hold for modified mean fitness if mating fertilities change slowly.
    • The study provides a theoretical framework for understanding weak selection's impact on genetic variation.