Stochastic models of evolution in a population living in a continuum

Amandine Véber (U. Paris Cité)

Nov 14. 2022, 10:45 — 11:45

In this course, we shall first give some background on classical population genetics models for spatially structured populations. In most of them, the population is split into discrete demes (or subpopulations) connected by migration, and the dynamics of individual birth-death and migration are stochastic. We shall then consider a model for evolution in a spatial continuum, called the spatial Lambda-Fleming-Viot process, which was introduced by Alison Etheridge (Univ. of Oxford) and Nick Barton (IST Vienna) in 2008. We shall discuss its dual "genealogical" process and give examples of interesting behaviours of the local allele frequencies under different parameter regimes and over different space and time scales.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Mathematical Methods for the Study of Self-organization in the Biological Sciences (Thematic Programme)
Pierre Degond (IMT)
Marie Doumic (Sorbonne U, Paris)
Anna Kicheva (ISTA, Klosterneuburg)
Sara Merino-Aceituno (U of Vienna)
Christian Schmeiser (U of Vienna)