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Patterns of multiallelic polymorphism maintained by migration and selection.

T Nagylaki1, Y Lou

  • 1Department of Ecology and Evolution, The University of Chicago, 1101 East 57th Street, Chicago, Illinois 60637, USA.

Theoretical Population Biology
|September 19, 2001
PubMed
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Migration and viability selection jointly drive evolution at multiallelic loci. Migration can lead to global allele fixation, even overriding local equilibria, impacting genetic diversity across colonies.

Area of Science:

  • Population Genetics
  • Evolutionary Biology
  • Mathematical Biology

Background:

  • Investigates evolution in subdivided populations with multiple alleles.
  • Considers discrete, nonoverlapping generations and panmictic colonies.
  • Examines the interplay of migration and viability selection.

Purpose of the Study:

  • To analyze multiallelic evolution under combined migration and viability selection.
  • To identify conditions for globally attracting equilibria.
  • To explore the impact of migration on allele fixation and diversity.

Main Methods:

  • Mathematical modeling of population genetics.
  • Analysis of a multiallelic locus with an arbitrary, time-independent, and ergodic forward migration matrix.

Related Experiment Videos

  • Study of the Levene model with specific dominance scenarios.
  • Main Results:

    • Presents examples of globally attracting multiallelic equilibria.
    • Demonstrates migration-induced global fixation, overriding local equilibria.
    • Shows migration can fix alleles otherwise eliminated locally.
    • Suggests allele number at equilibrium is limited by colony number without dominance.

    Conclusions:

    • Migration significantly alters evolutionary trajectories in multiallelic systems.
    • Under specific conditions (no dominance or existing internal equilibrium), a globally attracting equilibrium with migration is guaranteed.
    • Internal equilibria, when they exist, act as global attractors in the presence of migration.