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  On the fixation process of a beneficial mutation in a variable environment

Uecker, H., & Hermisson, J. (2011). On the fixation process of a beneficial mutation in a variable environment. Genetics, 188(4), 915-930. doi:10.1534/genetics.110.124297.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-3A89-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0000-3A8A-4
Genre: Journal Article

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Uecker, Hildegard1, Author              
Hermisson, Joachim, Author
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1External Organizations, ou_persistent22              

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 Abstract: A population that adapts to gradual environmental change will typically experience temporal variation in its population size and the selection pressure. On the basis of the mathematical theory of inhomogeneous branching processes, we present a framework to describe the fixation process of a single beneficial allele under these conditions. The approach allows for arbitrary time-dependence of the selection coefficient s(t) and the population size N(t), as may result from an underlying ecological model. We derive compact analytical approximations for the fixation probability and the distribution of passage times for the beneficial allele to reach a given intermediate frequency. We apply the formalism to several biologically relevant scenarios, such as linear or cyclic changes in the selection coefficient, and logistic population growth. Comparison with computer simulations shows that the analytical results are accurate for a large parameter range, as long as selection is not very weak.

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Language(s): eng - English
 Dates: 2017-02-112017-05-112011-08-092011
 Publication Status: Published in print
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 Identifiers: DOI: 10.1534/genetics.110.124297
BibTex Citekey: Uecker915
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Title: Genetics
Source Genre: Journal
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Publ. Info: Genetics Society of America
Pages: - Volume / Issue: 188 (4) Sequence Number: - Start / End Page: 915 - 930 Identifier: ISSN: 0016-6731
CoNE: /journals/resource/954925400554