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dc.contributor.authorBlath, Jochen
dc.contributor.authorEldon, Bjarki
dc.contributor.authorGonzález Casanova, Adrin
dc.contributor.authorKurt, Noemi
dc.date.accessioned2021-12-17T10:10:00Z-
dc.date.available2021-12-17T10:10:00Z-
dc.date.issued2012-12-19
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15731-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14504-
dc.description.abstractWe investigate the behaviour of the genealogy of a Wright-Fisher population model under the influence of a strong seed-bank effect. More precisely, we consider a simple seed-bank age distribution with two atoms, leading to either classical or long genealogical jumps (the latter modeling the effect of seed-dormancy). We assume that the length of these long jumps scales like a power $N^\beta$ of the original population size $N$, thus giving rise to a `strong' seed-bank effect. For a certain range of $\beta$, we prove that the ancestral process of a sample of $n$ individuals converges under a non-classical time-scaling to Kingman's $n-$coalescent. Further, for a wider range of parameters, we analyze the time to the most recent common ancestor of two individuals analytically and by simulation.en
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherrroblems related to evolutionen
dc.subject.otherrenewal theoryen
dc.titleGenealogy of a Wright-Fisher model with strong seed bank componenten
dc.typeResearch Paperen
tub.accessrights.dnbfreeen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2012, 37en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
dc.type.versionsubmittedVersionen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200092D15 Problems related to evolutionen
tub.subject.msc200060K05 Renewal theoryen
Appears in Collections:Technische Universität Berlin » Publications

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