Genealogy of a Wright-Fisher model with strong seed bank component
| dc.contributor.author | Blath, Jochen | |
| dc.contributor.author | Eldon, Bjarki | |
| dc.contributor.author | González Casanova, Adrin | |
| dc.contributor.author | Kurt, Noemi | |
| dc.date.accessioned | 2021-12-17T10:10:00Z | |
| dc.date.available | 2021-12-17T10:10:00Z | |
| dc.date.issued | 2012-12-19 | |
| dc.description.abstract | We 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.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15731 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14504 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | rroblems related to evolution | en |
| dc.subject.other | renewal theory | en |
| dc.title | Genealogy of a Wright-Fisher model with strong seed bank component | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2012, 37 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 92D15 Problems related to evolution | en |
| tub.subject.msc2000 | 60K05 Renewal theory | en |
Files
Original bundle
1 - 1 of 1