Apparaît dans la collection : 2022 - T1 - WS3 - Mathematical models in ecology and evolution

Joint work with Bastian Wiederhold.

The spatial structure of genetic diversity is mainly shaped by the way individuals disperse their o˙spring in space. The basic prediction of spatial models in population genetics is that genetic correlation decreases with the geographic distance between two points. When the dispersal of individuals is essentially local (short range dispersal), the shape of these correlations is described by the Wright-Malécot formula, which allows one to infer past dispersal and population density from observed patterns of genetic correlations. This talk will present an extension of the spatial Lambda-Fleming-Viot process introduced by Barton, Etheridge and Véber which allows us to study spatial patterns of genetic diversity under a wide range of long-range dispersal scenarios including grouped dispersal and large scale extinction-recolonisation events at various scales. We shall see that, using a space-time rescaling of this process, one can recover a general description of the genetic correlations under these different scenarios, and that the speed of decrease of these correlations with geographic distance is very sensitive to the choice of the dispersal model.