Reinhard Bürger -- The effects of epistasis and linkage on the invasion of locally beneficial mutations
|Dates:||24 November 2021|
|Times:||12:00 - 13:00|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, External researchers, Current University students|
Join us for this seminar by Reinhard Bürger (Vienna) as part of the North West Seminar Series in Mathematical Biology and Data Sciences. Details of the full series can be found here https://www.cms.livjm.ac.uk/APMSeminar/
The talk will be hosted on zoom, please contact firstname.lastname@example.org or I.Siekmann@ljmu.ac.uk for the zoom link, or sign up to the mailing list.
Abstract: This talk is mainly based on recent joint work with Martin Pontz, in which we studied local adaptation of a peripheral population by investigating the fate of new mutations using a haploid two-locus two-allele continent-island migration model. We explored how linkage, epistasis, and maladaptive gene flow affect the invasion probability of weakly beneficial de-novo mutations that arise on the island at an arbitrary physical distance to a locus that already maintains a stable migration-selection polymorphism.
By assuming a slightly supercritical branching process, explicit conditions were deduced on the parameters that permit a positive invasion probability and approximations for the invasion probability were derived. These approximations together with empirically motivated distributions of additive and epistatic effects can be used to analyze the influence of epistasis on the expected invasion probability if mutants are drawn randomly from such a distribution and occur at a random physical distance to the existing polymorphism. We found that the invasion probability generally increases as the epistasis parameter increases or the migration rate decreases, but not necessarily as the recombination rate decreases. These results were used to predict the size of emerging 'genomic island of local adaptation' by exploring the size of the chromosomal neighborhood of the already established polymorphism in which 50% or 90% of the successfully invading mutations become established.
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Organisation: University of Vienna
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