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arXiv · 1703.02871

Wright-fisher-like models with constant population size on average

Nicolas Grosjean·Thierry Huillet
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Abstract

We first recall some basic facts from the theory of discrete-time Markov chains arising from two types neutral and non-neutral evolution models of population genetics with constant size. We then define and analyse a version of such models whose fluctuating total population size is conserved on average only. In our model, the population of interest is seen as being embedded in a frame process which is a critical Galton-Watson process. In this context, we address problems such as extinction, fixation, size of the population at fixation and survival probability to a bottleneck effect of the environment. Running title: constant population size on average

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Nicolas Grosjean, Thierry Huillet. 2017-03-08. Wright-fisher-like models with constant population size on average. https://arxiv.org/abs/1703.02871

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