Diffusion limits of genealogies under various modes of selection

Abstract

We are studying genealogies in population genetic models including selection. Our main tool is the tree-valued Fleming–Viot process as introduced in [2]. We review approximations on the change in tree-length relative to neutrality, as well as tree- valued processes in models with fluctuating selection. The latter is treated by using an approach on stochastic averaging, which works on both time-discrete and time- continuous stochastic processes.