Dominance and the maintenance of polymorphism in multiallelic migration-selection models with two demes

Peischl, Stephan (2010). Dominance and the maintenance of polymorphism in multiallelic migration-selection models with two demes. Theoretical population biology, 78(1), pp. 12-25. Elsevier 10.1016/j.tpb.2010.03.006

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The maintenance of genetic variation in a spatially heterogeneous environment has been one of the main research themes in theoretical population genetics. Despite considerable progress in understanding the consequences of spatially structured environments on genetic variation, many problems remain unsolved. One of them concerns the relationship between the number of demes, the degree of dominance, and the maximum number of alleles that can be maintained by selection in a subdivided population. In this work, we study the potential of maintaining genetic variation in a two-deme model with deme-independent degree of intermediate dominance, which includes absence of G x E interaction as a special case. We present a thorough numerical analysis of a two-deme three-allele model, which allows us to identify dominance and selection patterns that harbor the potential for stable triallelic equilibria. The information gained by this approach is then used to construct an example in which existence and asymptotic stability of a fully polymorphic equilibrium can be proved analytically. Noteworthy, in this example the parameter range in which three alleles can coexist is maximized for intermediate migration rates. Our results can be interpreted in a specialist-generalist context and (among others) show when two specialists can coexist with a generalist in two demes if the degree of dominance is deme independent and intermediate. The dominance relation between the generalist allele and the specialist alleles play a decisive role. We also discuss linear selection on a quantitative trait and show that G x E interaction is not necessary for the maintenance of more than two alleles in two demes.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Biology > Institute of Ecology and Evolution (IEE) > Population Genetics
08 Faculty of Science > Department of Biology > Bioinformatics and Computational Biology

UniBE Contributor:

Peischl, Stephan

Subjects:

500 Science > 570 Life sciences; biology

ISSN:

0040-5809

Publisher:

Elsevier

Language:

English

Submitter:

Stephan Peischl

Date Deposited:

25 Sep 2014 11:14

Last Modified:

05 Dec 2022 14:34

Publisher DOI:

10.1016/j.tpb.2010.03.006

URI:

https://boris.unibe.ch/id/eprint/51976

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