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 behavior 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 rK, and K. We show that for a hard sweep, two recombination regimes appear according to the order of rKlogK.
Smadi, C. (2015). An eco-evolutionary approach of adaptation and recombination in a large population of varying size. Stochastic Processes and Their Applications, 125(5), 2054–2095. https://doi.org/10.1016/j.spa.2014.12.007