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On spatial coalescents with multiple mergers in two dimensions

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  • Heuer, Benjamin
  • Sturm, Anja

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.

Suggested Citation

  • Heuer, Benjamin & Sturm, Anja, 2013. "On spatial coalescents with multiple mergers in two dimensions," Theoretical Population Biology, Elsevier, vol. 87(C), pages 90-104.
    • Handle: RePEc:eee:thpobi:v:87:y:2013:i:c:p:90-104
    DOI: 10.1016/j.tpb.2012.11.006
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    1. Barton, N.H. & Etheridge, A.M. & Kelleher, J. & Véber, A., 2013. "Inference in two dimensions: Allele frequencies versus lengths of shared sequence blocks," Theoretical Population Biology, Elsevier, vol. 87(C), pages 105-119.
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    Cited by:

    1. Paul F. Slade, 2018. "Linearization of the Kingman Coalescent," Mathematics, MDPI, vol. 6(5), pages 1-27, May.
    2. Möhle, Martin, 2024. "On multi-type Cannings models and multi-type exchangeable coalescents," Theoretical Population Biology, Elsevier, vol. 156(C), pages 103-116.

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