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Coalescence theory for a general class of structured populations with fast migration
Stockholm University, Faculty of Science, Department of Mathematics.
2011 (English)In: Advances in Applied Probability, ISSN 0001-8678, E-ISSN 1475-6064, Vol. 43, no 4, 1027-1047 p.Article in journal (Refereed) Published
Abstract [en]

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 infinity, 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.

Place, publisher, year, edition, pages
2011. Vol. 43, no 4, 1027-1047 p.
Keyword [en]
Age-structured population, coalescence theory, effective population size, geographical substructure, weak convergence
National Category
Probability Theory and Statistics
URN: urn:nbn:se:su:diva-66790DOI: 10.1239/aap/1324045697ISI: 000298713900006OAI: diva2:468567
Available from: 2011-12-21 Created: 2011-12-21 Last updated: 2012-02-29Bibliographically approved

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Hössjer, Ola
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