WHEN CAN THE DISCRETE MORAN PROCESS BE REPLACED BY WRIGHT-FISHER DIFFUSION? - Université Clermont Auvergne Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

WHEN CAN THE DISCRETE MORAN PROCESS BE REPLACED BY WRIGHT-FISHER DIFFUSION?

Gorgui Gackou
  • Fonction : Auteur
Arnaud Personne
  • Fonction : Auteur
  • PersonId : 1036110

Résumé

The Moran discrete process and the Wright-Fisher model are the most popular models in population genetics. It is common to understand the dynamics of these models to use an approximating diffusion process, called Wright-Fisher diffusion. Here, we give a quantitative large population limit of the error committed by using the approximation 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, with limits jump or diffusion processes.
Fichier principal
Vignette du fichier
article_2_fini.pdf (468.43 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02116608 , version 1 (08-05-2019)
hal-02116608 , version 2 (12-06-2019)

Identifiants

Citer

Gorgui Gackou, Arnaud Guillin, Arnaud Personne. WHEN CAN THE DISCRETE MORAN PROCESS BE REPLACED BY WRIGHT-FISHER DIFFUSION?. 2019. ⟨hal-02116608v2⟩
250 Consultations
219 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More