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Extinction and fixation times with dominance and inbreeding

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  • Glémin, Sylvain

Abstract

The effect of partial inbreeding on extinction and fixation times of a selected allele with partial dominance is studied using a diffusion model. Asymptotic approximations are obtained for large populations and the accuracy of the approximations was found to increase with inbreeding level. They show that inbreeding reduces extinction and fixation times compared to random mating at least by a factor 1+F, where F is Wright’s fixation index. The reduction of extinction and fixation times due to inbreeding is stronger for strong selection and if alleles are either highly recessive or highly dominant. This bears implications for the effect of inbreeding on the signature of selective sweeps. These findings extend previous results obtained for random mating populations and help clarifying previous simulation and numerical results on the effect of inbreeding on the dynamics of selected alleles.

Suggested Citation

  • Glémin, Sylvain, 2012. "Extinction and fixation times with dominance and inbreeding," Theoretical Population Biology, Elsevier, vol. 81(4), pages 310-316.
  • Handle: RePEc:eee:thpobi:v:81:y:2012:i:4:p:310-316
    DOI: 10.1016/j.tpb.2012.02.006
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