BooksecrCollected Volumepp. 409–426

Diffusion limits of genealogies under various modes of selection

  • Martin Hutzenthaler

    Universität Duisburg-Essen, Germany
  • Peter Pfaffelhuber

    Albert-Ludwigs-Universität Freiburg, Germany
Diffusion limits of genealogies under various modes of selection cover
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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.