Coalescent processes in subdivided populations subject to recurrent mass extinctions

Jesse Taylor, Amandine Véber

Research output: Contribution to journalArticle

11 Citations (Scopus)

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 Ξ-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.

Original languageEnglish (US)
Pages (from-to)242-288
Number of pages47
JournalElectronic Journal of Probability
Volume14
StatePublished - Jan 7 2009
Externally publishedYes

Fingerprint

Genealogy
Extinction
Mergers
Limiting
Scattering
Island Model
Genetic Variation
Structured Populations
Geography
Alternation
Population Model
Population Dynamics
Instantaneous
Time Scales
Disturbance
Infinity
Tend
Statistics

Keywords

  • Ξ-coalescent
  • Disturbance
  • Extinction/recolonization
  • Genealogy
  • Metapopulation
  • Population genetics
  • Separation of time scales

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Coalescent processes in subdivided populations subject to recurrent mass extinctions. / Taylor, Jesse; Véber, Amandine.

In: Electronic Journal of Probability, Vol. 14, 07.01.2009, p. 242-288.

Research output: Contribution to journalArticle

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