Work

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

Year: 2017

Type: preprint

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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1703.02871

Authors: Grosjean, Nicolas, Huillet, Thierry

Institutions: Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Modèles Mathématiques et Economiques de la Dynamique, de l'Incertitude et des Interactions

OpenAlex ID: W2953335347

Cites: 19

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Related to: 10