Probability and biological evolution / Probabilités et évolution biologique

Collection Probability and biological evolution / Probabilités et évolution biologique

Organizer(s) Pardoux, Etienne ; Wakolbinger, Anton

Date(s) 25/06/2018 - 29/06/2018

linked URL https://conferences.cirm-math.fr/1774.html

00:00:00 / 00:00:00

6 9

Establishment in a new habitat under the infinitesimal model

By Alison M. Etheridge, Nicholas H. Barton

Also appears in collection : Exposés de recherche

Maladapted individuals can only colonise a new habitat if they can evolve a positive growth rate fast enough to avoid extinction - evolutionary rescue. We use the infinitesimal model to follow the evolution of the growth rate, and find that the probability that a single migrant can establish depends on just two parameters: the mean and genetic variance of fitness. With continued migration, establishment is inevitable. However, above a threshold migration rate, the population may be trapped in a sink state, in which adaptation is held back by gene flow. By assuming a constant genetic variance, we develop a diffusion approximation for the joint distribution of population size and trait mean.

Information about the video

Date of recording 27/06/2018
Date of publication 28/06/2018
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19418003
Cite this video Etheridge, Alison M.; Barton, Nicholas H. (27/06/2018). Establishment in a new habitat under the infinitesimal model. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19418003
URL https://dx.doi.org/10.24350/CIRM.V.19418003

Domain(s)

Quantitative Biology

Bibliography

Barton, N.H., & Etheridge, A.M. (2017). Establishment in a new habitat by polygenic adaptation. Theoretical Population Biology, online version - https://doi.org/10.1016/j.tpb.2017.11.007
Barton, N.H., Etheridge, A.M., & Véber, A. (2017). The infinitesimal model: definition, derivation, and implications. Theoretical Population Biology, 118, 50-73 - https://doi.org/10.1016/j.tpb.2017.06.001

MSC codes

Document(s)

https://www.cirm-math.fr/ProgWeebly/Renc1774/BartonEtheridge.pdf

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