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Fixation probability in spatially changing environments.

H Tachida1, M Iizuka

  • 1National Institute of Genetics, Shizuoka-ken, Japan.

Genetical Research
|December 1, 1991
PubMed
Summary
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In spatially varying environments, mutant fixation probability differs in subdivided populations versus panmictic ones, especially with weak migration. Subdivision often increases fixation probability, particularly when selection pressures oppose across subpopulations.

Area of Science:

  • Evolutionary Biology
  • Population Genetics
  • Mathematical Biology

Background:

  • Understanding mutant fixation probability is crucial for evolutionary dynamics.
  • Spatially varying environments and population subdivision can influence genetic drift and selection.
  • Previous models often assumed panmictic (randomly mating) populations.

Purpose of the Study:

  • To investigate the fixation probability of a mutant in a finite island model with spatially varying environments.
  • To compare fixation probabilities in subdivided populations with those in panmictic populations.
  • To develop and validate an approximation for fixation probability under weak migration.

Main Methods:

  • Utilized a finite island model to represent population subdivision.

Related Experiment Videos

  • Developed an approximation for fixation probability under very weak migration.
  • Numerically solved a two-dimensional partial differential equation for fixation probability in a two-subpopulation model.

    • Main Results:

    • Fixation probability differs significantly from panmictic populations under intermediate to strong selection and weak migration.
    • The approximation method yielded accurate fixation probability values.
    • Subdivided populations generally exhibit higher fixation probabilities than panmictic ones, especially with opposing selection pressures across subpopulations.

    Conclusions:

    • Population subdivision and spatial environmental variation are key factors affecting mutant fixation.
    • The developed approximation provides a reliable tool for analyzing fixation probabilities in weakly migrating, subdivided populations.
    • Further subdivision's impact is minimal in non-dominant cases unless specific selection and population size criteria are met; dominance introduces complexity.