Selective sweeps for recessive alleles and for other modes of dominance

A selective sweep describes the reduction of linked genetic variation due to strong positive selection. If s is the fitness advantage of a homozygote for the beneficial allele and h its dominance coefficient, it is usually assumed that h = 1/2, i.e. the beneficial allele is co-dominant. We complement existing theory for selective sweeps by assuming that h is any value in [0, 1]. We show that genetic diversity patterns under selective sweeps with strength s and dominance 0 < h < 1 are similar to co-dominant sweeps with selection strength 2hs. Moreover, we focus on the case h = 0 of a completely recessive beneficial allele. We find that the length of the sweep, i.e. the time from occurrence until fixation of the beneficial allele, is of the order of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\sqrt{N/s}}$$\end{document} generations, if N is the population size. Simulations as well as our results show that genetic diversity patterns in the recessive case h = 0 greatly differ from all other cases.