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The structured ancestral selection graph and the many-demes limit.

Paul F Slade1, John Wakeley

  • 1School of Mathematics and Statistics, SUBIT, University of Sydney, New South Wales 2006, Australia. paul.slade@adelaide.edu.au

Genetics
|November 3, 2004
PubMed
Summary

In large, structured populations, migration impacts mutation rates but not selection strength. This finding aids in simulating population genetics and understanding evolutionary history.

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Area of Science:

  • Population genetics
  • Evolutionary biology
  • Theoretical biology

Background:

  • Understanding how population structure influences genetic diversity is crucial for evolutionary studies.
  • The ancestral selection graph (ASG) is a key tool for modeling population history under selection.
  • Limited research exists on ASG in structured populations with migration.

Purpose of the Study:

  • To investigate the applicability of the unstructured ancestral selection graph to structured populations with migration.
  • To determine how migration rates affect selection and mutation parameters in a multi-deme model.
  • To develop and utilize improved simulation methods for studying selection in structured populations.

Main Methods:

  • Mathematical modeling of a multi-deme population with island migration and weak selection.

Related Experiment Videos

  • Analysis of the convergence of a structured ASG to an unstructured ASG.
  • Analytical assessment of migration rate estimators under neutrality and weak selection.
  • Modification and application of a genealogy simulation algorithm for enhanced selection strength.

    • Main Results:

    • The structured ASG converges to an unstructured ASG where mutation parameter is inversely proportional to migration rate.
    • Selection parameter remains independent of migration rate, similar to unstructured populations.
    • Neutrality-based migration rate estimators perform well under weak selection.
    • Simulations reveal migration's strong influence on time to the most recent common ancestor and selection sensitivity.

    Conclusions:

    • Migration significantly impacts mutation dynamics but not selection intensity in large, structured populations.
    • The findings provide a theoretical framework and practical tools for studying evolution in structured populations.
    • Improved simulation methods allow for more realistic modeling of selection's effects on genealogies.