An Eco-Evolutionary approach of Adaptation and Recombination in a large population of varying size

Charline Smadi (1, 2)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique

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.

Mots clés: genetic hitch-hiking; selective sweep; birth and death process; coalescent; eco-evolution

Domaines: Probabilités [math.PR]

Charline Smadi. An Eco-Evolutionary approach of Adaptation and Recombination in a large population of varying size. 2014. ⟨hal-00948097v4⟩