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Fixation probability for competing selective sweeps


 
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1. Title Title of document Fixation probability for competing selective sweeps
 
2. Creator Author's name, affiliation, country Charles Cuthbertson; Morgan Stanley; United States
 
2. Creator Author's name, affiliation, country Alison Etheridge; University of Oxford; United Kingdom
 
2. Creator Author's name, affiliation, country Feng Yu; University of Bristol; United Kingdom
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) selective sweep; fixation probability; double mutant
 
3. Subject Subject classification 92D15
 
4. Description Abstract

We consider a biological population in which a beneficial mutation is undergoing a selective sweep when a second beneficial mutation arises at a linked locus. We investigate the probability that both mutations will eventually fix in the population.  Previous work has dealt with the case where the second mutation to arise confers a smaller benefit than the first. In that case population size plays almost no rôle. Here we consider the opposite case and observe that, by contrast, the probability of both mutations fixing can be heavily dependent on population size. Indeed the key parameter is $rN$, the product of the population size and the recombination rate between the two selected loci.  If $rN$ is small, the probability that both mutations fix can be reduced through interference to almost zero while for large $rN$ the mutations barely influence one another.  The main rigorous result is a method for calculating the fixation probability of a double mutant in the large population limit.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) EPSRC (UK)
 
7. Date (YYYY-MM-DD) 2012-04-23
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/1954
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-1954
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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