A simple, semi-deterministic approximation to the distribution of selective sweeps in large populations.
In large populations, the distribution of the trajectory of allele frequencies under selection and genetic drift approaches a semi-deterministic behavior: a deterministic trajectory started and ended at stochastic boundary values. This provides simple yet accurate approximations for the distribution of allelic frequencies over time (conditional on fixation), and of extinction and fixation times, for both hard and soft sweeps, and under arbitrary inbreeding and dominance.
Institut des Sciences de l'Evolution, UMR 5554-CNRS-Université Montpellier 2, Place Eugène Bataillon C.C. 065, 34095 Montpellier cedex 05, France.
Guillaume
G
Martin
Laboratoire de Probabilités et Modèles Aléatoires CNRS UMR 7599, UPMC Université Paris 06, Paris, France; Center for Interdisciplinary Research in Biology CNRS UMR 7241, Collège de France, Paris, France. Electronic address: amaury.lambert@upmc.fr.
Amaury
A
Lambert
D005787:Gene Frequency; D040961:Genetic Drift; D005828:Genetics, Population; D006801:Humans; D008957:Models, Genetic; D011157:Population Dynamics; D012641:Selection, Genetic; D013269:Stochastic Processes
Feller diffusion; Fixation time; Genetic drift; Selection; Selective sweep; Wright–Fisher diffusion