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Do Eve's alleles live on?

G A Watterson1, P Donnelly

  • 1Department of Mathematics, Monash University, Victoria, Australia.

Genetical Research
|December 1, 1992
PubMed
Summary

This study analyzes the descendants of the most recent common ancestor gene, "Eve," in neutral population genetics. It investigates the distribution and probability of Eve

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Area of Science:

  • Population Genetics
  • Evolutionary Biology
  • Molecular Evolution

Background:

  • The infinitely many neutral alleles model describes genetic variation in populations.
  • Identifying the most recent common ancestor (MRCA) and its descendants is crucial for understanding allele frequency distributions.
  • Previous work established distributions for the oldest allele type but not specifically for the MRCA's original allele type.

Purpose of the Study:

  • To investigate the distribution and moments of non-mutant descendants from the most recent common ancestor gene (Eve).
  • To analyze the behavior of Eve's allele proportion in large samples under neutral evolution.
  • To determine the probability of extinction for the ancestral allele and its implications for human mitochondrial DNA.

Main Methods:

  • Mathematical modeling of allele frequency dynamics under the infinitely many neutral alleles model.
  • Derivation of probability distributions and moments for the number of non-mutant descendants of Eve.
  • Analysis of large sample approximations for allele proportion densities.

Main Results:

  • The proportion of genes of Eve's type in large samples approximates a beta-like density with a potential atom at zero for low mutation rates.
  • The probability of extinction for Eve's original allele is bounded, indicating it is possible but not certain.
  • The study provides insights into the evolutionary fate of ancestral alleles.

Conclusions:

  • The distribution of Eve's non-mutant descendants is complex, with few simple analytical results.
  • The findings have implications for interpreting genetic diversity, particularly in human mitochondrial DNA studies.
  • Understanding ancestral allele dynamics is key to reconstructing evolutionary histories.

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