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Mutation-selection balance with stochastic selection

D L Hartl

    Genetics
    |July 1, 1977
    PubMed
    Summary
    This summary is machine-generated.

    Stochastic selection, where fitness varies over time, can maintain higher allele frequencies than constant selection. This helps explain unusually high allele frequencies in natural populations, even for recessive alleles.

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    Area of Science:

    • Population Genetics
    • Evolutionary Biology
    • Mathematical Biology

    Background:

    • Mutation-selection balance is a fundamental concept explaining allele frequencies.
    • Traditional models assume constant selection, which may not reflect biological reality.
    • Stochasticity in selection processes can influence evolutionary trajectories.

    Purpose of the Study:

    • To analyze a mutation-selection balance model with time-varying, stochastic selection.
    • To investigate the impact of stochastic selection on allele frequencies, particularly for recessive alleles.
    • To determine if stochastic selection can explain allele frequencies unexplainable by constant selection.

    Main Methods:

    • Utilized diffusion theory to model mutation-selection balance.

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  • Incorporated time-dependent stochasticity into the selection process.
  • Conducted detailed numerical studies for recessive alleles under stochastic selection.

    • Main Results:

    • The long-term outcome of mutation-stochastic selection is qualitatively determined by geometric mean fitnesses.
    • Conditions for fixation or polymorphism are similar to those under constant selection.
    • Stochastic selection maintains higher average allele frequencies for recessive alleles than constant selection, even with equal geometric mean fitness.

    Conclusions:

    • Stochasticity in selection provides a plausible explanation for allele frequencies that appear too high for mutation-constant selection balance.
    • The findings highlight the importance of considering temporal variation in selection pressures in evolutionary models.
    • This model offers a potential resolution for observed allele frequencies in natural populations.