When Can The Discrete Moran Process May Bereplaced By Wright-fisher Diffusion?
Probability
2019-05-13 v1 Populations and Evolution
Abstract
The Moran discrete process and the Wright-Fisher modelare the most popular models in population genetics. It is common tounderstand the dynamics of these models to use an approximating diffusionprocess, called Wright-Fisher diffusion. Here, we give a quantitativelarge population limit of the error committed by using the approximationdiffusion in the presence of weak selection and weak immigrationin one dimension. The approach is robust enough to consider the casewhere selection and immigration are Markovian processes, with limitsjump or diffusion processes.
Keywords
Cite
@article{arxiv.1905.04040,
title = {When Can The Discrete Moran Process May Bereplaced By Wright-fisher Diffusion?},
author = {Gorgui Gackou and A Guillin and Arnaud Personne},
journal= {arXiv preprint arXiv:1905.04040},
year = {2019}
}