Λ-coalescents arising in a population with dormancy

Cordero F, Schweinsberg J, Gonzalez Casanova A, Wilke-Berenguer M (2022)
Electronic Journal of Probability 27: 1-34.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Cordero, FernandoUniBi; Schweinsberg, Jason; Gonzalez Casanova, Adrian; Wilke-Berenguer, Maite
Abstract / Bemerkung
Consider a population evolving from year to year through three seasons: spring, summer and winter. Every spring starts with N dormant individuals waking up independently of each other according to a given distribution. Once an individual is awake, it starts reproducing at a constant rate. By the end of spring, all individuals are awake and continue reproducing independently as Yule processes during the whole summer. In the winter, N individuals chosen uniformly at random go to sleep until the next spring, and the other individuals die. We show that because an individual that wakes up unusually early can have a large number of surviving descendants, for some choices of model parameters the genealogy of the population will be described by a ?-coalescent. In particular, the beta coalescent can describe the genealogy when the rate at which individuals wake up increases exponentially over time. We also characterize the set of all ?-coalescents that can arise in this framework.
Stichworte
dormancy; ?-coalescent
Erscheinungsjahr
2022
Zeitschriftentitel
Electronic Journal of Probability
Band
27
Seite(n)
1-34
eISSN
1083-6489
Page URI
https://pub.uni-bielefeld.de/record/2961109

Zitieren

Cordero F, Schweinsberg J, Gonzalez Casanova A, Wilke-Berenguer M. Λ-coalescents arising in a population with dormancy. Electronic Journal of Probability . 2022;27:1-34.
Cordero, F., Schweinsberg, J., Gonzalez Casanova, A., & Wilke-Berenguer, M. (2022). Λ-coalescents arising in a population with dormancy. Electronic Journal of Probability , 27, 1-34. https://doi.org/10.1214/22-EJP739
Cordero, F., Schweinsberg, J., Gonzalez Casanova, A., and Wilke-Berenguer, M. (2022). Λ-coalescents arising in a population with dormancy. Electronic Journal of Probability 27, 1-34.
Cordero, F., et al., 2022. Λ-coalescents arising in a population with dormancy. Electronic Journal of Probability , 27, p 1-34.
F. Cordero, et al., “Λ-coalescents arising in a population with dormancy”, Electronic Journal of Probability , vol. 27, 2022, pp. 1-34.
Cordero, F., Schweinsberg, J., Gonzalez Casanova, A., Wilke-Berenguer, M.: Λ-coalescents arising in a population with dormancy. Electronic Journal of Probability . 27, 1-34 (2022).
Cordero, Fernando, Schweinsberg, Jason, Gonzalez Casanova, Adrian, and Wilke-Berenguer, Maite. “Λ-coalescents arising in a population with dormancy”. Electronic Journal of Probability 27 (2022): 1-34.

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