On spatial coalescents with multiple mergers in two dimensions

Benjamin Heuer and Anja Sturm

Theoretical Population Biology, 2013, vol. 87, issue C, 90-104

Abstract: We consider the genealogy of a sample of individuals taken from a spatially structured population when the variance of the offspring distribution is relatively large. The space is structured into discrete sites of a graph G. If the population size at each site is large, spatial coalescents with multiple mergers, so called spatial Λ-coalescents, for which ancestral lines migrate in space and coalesce according to some Λ-coalescent mechanism, are shown to be appropriate approximations to the genealogy of a sample of individuals.

Keywords: Spatial Cannings model; Coalescent; Λ-coalescent; Spatial coalescent; Two dimensional torus; Limit theorems (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:87:y:2013:i:c:p:90-104

DOI: 10.1016/j.tpb.2012.11.006

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