Time to fixation in the presence of recombination.
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.
Jain
Kavita
K
Theoretical Sciences Unit and Evolutionary and Organismal Biology Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur P.O., Bangalore 560064, India. jain@jncasr.ac.in
D004843:Epistasis, Genetic; D056084:Genetic Fitness; D006238:Haploidy; D006801:Humans; D015810:Linkage Disequilibrium; D008957:Models, Genetic; D009154:Mutation; D011157:Population Dynamics; D011995:Recombination, Genetic; D012641:Selection, Genetic; D013997:Time Factors