Coalescent processes in subdivided populations subject to recurrent mass extinctions
| Dublin Core | PKP Metadata Items | Metadata for this Document | |
| 1. | Title | Title of document | Coalescent processes in subdivided populations subject to recurrent mass extinctions |
| 2. | Creator | Author's name, affiliation, country | Jesse E. Taylor; Department of Statistics, University of Oxford |
| 2. | Creator | Author's name, affiliation, country | Amandine Véber; Département de Mathématiques, Université Paris-Sud |
| 3. | Subject | Discipline(s) | |
| 3. | Subject | Keyword(s) | genealogy;Xi-coalescent;extinction/recolonization;disturbance;metapopulation;population genetics;separation of time scales |
| 3. | Subject | Subject classification | 60J25;60J75 |
| 4. | Description | Abstract | We investigate the infinitely many demes limit of the genealogy of a sample of individuals from a subdivided population that experiences sporadic mass extinction events. By exploiting a separation of time scales that occurs within a class of structured population models generalizing Wright's island model, we show that as the number of demes tends to infinity, the limiting form of the genealogy can be described in terms of the alternation of instantaneous scattering phases that depend mainly on local demographic processes, and extended collecting phases that are dominated by global processes. When extinction and recolonization events are local, the genealogy is described by Kingman's coalescent, and the scattering phase influences only the overall rate of the process. In contrast, if the demes left vacant by a mass extinction event are recolonized by individuals emerging from a small number of demes, then the limiting genealogy is a coalescent process with simultaneous multiple mergers (a $\Xi$-coalescent). In this case, the details of the within-deme population dynamics influence not only the overall rate of the coalescent process, but also the statistics of the complex mergers that can occur within sample genealogies. These results suggest that the combined effects of geography and disturbance could play an important role in producing the unusual patterns of genetic variation documented in some marine organisms with high fecundity. |
| 5. | Publisher | Organizing agency, location | |
| 6. | Contributor | Sponsor(s) | EPSRC grant EP/E010989/1 |
| 7. | Date | (YYYY-MM-DD) | 2009-01-29 |
| 8. | Type | Status & genre | Peer-reviewed Article |
| 8. | Type | Type | |
| 9. | Format | File format | |
| 10. | Identifier | Uniform Resource Identifier | http://ejp.ejpecp.org/article/view/595 |
| 10. | Identifier | Digital Object Identifier | 10.1214/EJP.v14-595 |
| 11. | Source | Journal/conference title; vol., no. (year) | Electronic Journal of Probability; Vol 14 |
| 12. | Language | English=en | |
| 14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
| 15. | Rights | Copyright and permissions | The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free
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