Wright-fisher-like models with constant population size on average
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
Cite
@article{arxiv.1703.02871,
title = {Wright-fisher-like models with constant population size on average},
author = {Nicolas Grosjean and Thierry Huillet},
journal= {arXiv preprint arXiv:1703.02871},
year = {2017}
}
Comments
\`a paraitre: International Journal of Biomathematics. arXiv admin note: text overlap with arXiv:0811.1015