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Genealogy of a Wright-Fisher Model with Strong SeedBank Component

2015; Springer International Publishing; Linguagem: Inglês

10.1007/978-3-319-13984-5_4

2297-0428

Jochen Blath, Bjarki Eldon, Adrián González Casanova, Noemi Kurt,

Evolution and Genetic Dynamics

We investigate the behaviour of the genealogy of a Wright-Fisher population model under the influence of a strong seedbank effect. More precisely, we consider a simple seedbank age distribution with two atoms, leading to either classical or long genealogical jumps (the latter modeling the effect of seed-dormancy). We assume that the length of these long jumps scales like a power N β of the population size N, thus giving rise to a 'strong' seedbank effect. For a certain range of β, we prove that the ancestral process of a sample of n individuals converges under a non-classical time-scaling to Kingman's n−coalescent. Further, for a wider range of parameters, we analyze the time to the most recent common ancestor of two individuals analytically and by simulation.