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.
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
Kavita
K
Jain
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