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Time to fixation in the presence of recombination

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  • Jain, Kavita

Abstract

We study the evolutionary dynamics of a haploid population of infinite size recombining with a probability r in a two locus model. Starting from a low fitness locus, the population is evolved under mutation, selection and recombination until a finite fraction of the population reaches the fittest locus. An analytical method is developed to calculate the fixation time T to the fittest locus for various choices of epistasis. We find that: (1) for negative epistasis, T decreases slowly for small r but decays fast at larger r; (2) for positive epistasis, T increases linearly for small r and mildly for large r; (3) for compensatory mutation, T diverges as a power law with logarithmic corrections as the recombination fraction approaches a critical value. Our calculations are seen to be in good agreement with the exact numerical results.

Suggested Citation

  • Jain, Kavita, 2010. "Time to fixation in the presence of recombination," Theoretical Population Biology, Elsevier, vol. 77(1), pages 23-31.
    • Handle: RePEc:eee:thpobi:v:77:y:2010:i:1:p:23-31
    DOI: 10.1016/j.tpb.2009.10.005
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    References listed on IDEAS

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    1. Marcus W. Feldman & Sarah P. Otto & Freddy B. Christiansen, 1996. "Population Genetic Perspectives on the Evolution of Recombination," Working Papers 96-05-031, Santa Fe Institute.
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