2014/02/17 by Charline Smadi, Smadi, Charline
Biochemistry, Genetics and Molecular Biology · Mathematics · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Stochastic processes and statistical mechanics #math.PR
paper · pdf · doi:10.48550/arxiv.1402.4104
Accepted in SPA
arxiv created 2014/12/28 · arxiv updated 2014/12/30
We identify the genetic signature of a selective sweep in a population described by a birth-and-death process with density dependent competition. We study the limit behaviour for large K, where K scales the population size. We focus on two loci: one under selection and one neutral. We distinguish a soft sweep occurring after an environmental change, from a hard sweep occurring after a mutation, and express the neutral proportion variation as a function of the ecological parameters, recombination probability r_K, and K. We show that for a hard sweep, two recombination regimes appear according to the order of r_K log K.