Time to fixation in the presence of recombination

Kavita Jain

Theoretical Population Biology, 2010, vol. 77, issue 1, 23-31

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.

Keywords: Fixation time; Recombination; Epistasis (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:77:y:2010:i:1:p:23-31

DOI: 10.1016/j.tpb.2009.10.005

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