Authors : Blath, Jochen (Author of the conference)
CIRM (Publisher )
Abstract :
We analyse patterns of genetic variability of populations in the presence of a large seed bank with the help of a new coalescent structure called seed bank coalescent. This ancestral process appears naturally as scaling limit of the genealogy of large populations that sustain seed banks, if the seed bank size and individual dormancy times are of the same order as the active population. Mutations appear as Poisson process on the active lineages, and potentially at reduced rate also on the dormant lineages. The presence of ‘dormant' lineages leads to qualitatively altered times to the most recent common ancestor and non-classical patterns of genetic diversity. To illustrate this we provide a Wright-Fisher model with seed bank component and mutation, motivated from recent models of microbial dormancy, whose genealogy can be described by the seed bank coalescent. Based on our coalescent model, we derive recursions for the expectation and variance of the time to most recent common ancestor, number of segregating sites, pairwise differences, and singletons. Commonly employed distance statistics, in the presence and absence of a seed bank, are compared. The effect of a seed bank on the expected site-frequency spectrum is also investigated. Our results indicate that the presence of a large seed bank considerably alters the distribution of some distance statistics, as well as the site-frequency spectrum. Thus, one should be able to detect the presence of a large seed bank in genetic data. Joint work with Bjarki Eldon, Adrián González Casanova, Noemi Kurt, Maite Wilke-Berenguer
MSC Codes :
60K35
- Interacting random processes; statistical mechanics type models; percolation theory
62P10
- Applications of statistics to biology and medical sciences
92D10
- Genetics
Film maker : Hennenfent, Guillaume
Language : English
Available date : 02/07/15
Conference Date : 18/06/15
Subseries : Research talks
arXiv category : Probability ; Quantitative Biology
Mathematical Area(s) : Probability & Statistics ; Mathematics in Science & Technology
Format : MP4 (.mp4) - HD
Video Time : 00:47:44
Targeted Audience : Researchers
Download : https://videos.cirm-math.fr/2015-06-18_Blath.mp4
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Event Title : Probability and biological evolution / Probabilités et évolution biologique Event Organizers : Pardoux, Etienne ; Wakolbinger, Anton Dates : 15/06/15 - 19/06/15
Event Year : 2015
Event URL : http://conferences.cirm-math.fr/1112.html
DOI : 10.24350/CIRM.V.18772903
Cite this video as:
Blath, Jochen (2015). Genetic variability under the seed bank coalescent. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18772903
URI : http://dx.doi.org/10.24350/CIRM.V.18772903
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Bibliography