Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion - CNRS - Centre national de la recherche scientifique
Article Dans Une Revue Journal of Mathematical Biology Année : 2020

Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion

Résumé

The Moran discrete process and the Wright-Fisher model are the most popular models in population genetics. The Wright-Fisher diffusion is commonly used as an approximation in order to understand the dynamics of population genetics models. Here, we give a quantitative large-population limit of the error occurring by using the approximating diffusion in the presence of weak selection and weak immigration in one dimension. The approach is robust enough to consider the case where selection and immigration are Markovian processes, whose large-population limit is either a finite state jump process, or a diffusion process

Dates et versions

hal-04607814 , version 1 (11-06-2024)

Identifiants

Citer

Arnaud Guillin, Gorgui Gackou, Arnaud Personne. Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion. Journal of Mathematical Biology, 2020, 81 (2), pp.575-602. ⟨10.1007/s10955-021-02839-6⟩. ⟨hal-04607814⟩
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