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Ancestral Processes with Selection

Krone1, Neuhauser

  • 1University of Idaho

Theoretical Population Biology
|June 1, 1997
PubMed
Summary

This study introduces the ancestral selection graph for gene genealogy analysis under selection and mutation. Without mutation, selection doesn't affect the most recent common ancestor time, mirroring neutral evolution.

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Area of Science:

  • Population Genetics
  • Evolutionary Biology
  • Computational Biology

Background:

  • Understanding gene genealogy is crucial for evolutionary studies.
  • Existing models like Kingman's coalescent process do not account for selection.
  • Developing methods to incorporate selection into genealogical models is essential.

Purpose of the Study:

  • To introduce and analyze the ancestral selection graph for gene genealogy.
  • To compare the ancestral selection graph with Kingman's coalescent process.
  • To investigate the impact of selection and mutation on genetic ancestry.

Main Methods:

  • Construction and simulation of the ancestral selection graph.
  • Analytical comparison with Kingman's coalescent process.
  • Derivation of formulas for identity by descent and time to most recent common ancestor.

Main Results:

  • The ancestral selection graph provides a comprehensive model for gene genealogy with selection and mutation.
  • In the absence of mutation, selection does not alter the distribution of time to the most recent common ancestor.
  • With mutation, identity by descent depends on both selection and mutation rates, differing from neutral models.

Conclusions:

  • The ancestral selection graph is a powerful tool for studying the effects of selection on genetic ancestry.
  • The model highlights key differences between neutral and selected scenarios in population genetics.
  • Simulation algorithms based on the ancestral selection graph can approximate sample probabilities effectively.

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