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Decemmber 2011 Coalescence theory for a general class of structured populations with fast migration
O. Hössjer
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Adv. in Appl. Probab. 43(4): 1027-1047 (Decemmber 2011). DOI: 10.1239/aap/1324045697

Abstract

In this paper we study a general class of population genetic models where the total population is divided into a number of subpopulations or types. Migration between subpopulations is fast. Extending the results of Nordborg and Krone (2002) and Sagitov and Jagers (2005), we prove, as the total population size N tends to ∞, weak convergence of the joint ancestry of a given sample of haploid individuals in the Skorokhod topology towards Kingman's coalescent with a constant change of time scale c. Our framework includes age-structured models, geographically structured models, and combinations thereof. We also allow each individual to have offspring in several subpopulations, with general dependency structures between the number of offspring of various types. As a byproduct, explicit expressions for the coalescent effective population size N/c are obtained.

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O. Hössjer. "Coalescence theory for a general class of structured populations with fast migration." Adv. in Appl. Probab. 43 (4) 1027 - 1047, Decemmber 2011. https://doi.org/10.1239/aap/1324045697

Information

Published: Decemmber 2011
First available in Project Euclid: 16 December 2011

zbMATH: 1358.92078
MathSciNet: MR2867944
Digital Object Identifier: 10.1239/aap/1324045697

Subjects:
Primary: 92D25
Secondary: 60F17, 60J28

Rights: Copyright © 2011 Applied Probability Trust

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Vol.43 • No. 4 • Decemmber 2011
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