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H 1 Establishment in a new habitat under the infinitesimal model

Auteurs : Barton, Nicholas H. (Auteur de la Conférence) ; Etheridge, Alison M. (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : 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.

    Keywords : infinitesimal model; local adaptation; evolutionary rescue; genetic variance; migration rate

    Codes MSC :
    92D10 - Genetics
    92D15 - Problems related to evolution
    92D25 - Population dynamics (general)

    Ressources complémentaires :

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 28/06/2018
      Date de captation : 27/06/2018
      Collection : Research talks ; Mathematics in Science and Technology ; Probability and Statistics
      Format : MP4
      Durée : 01:23:50
      Domaine : Probability & Statistics ; Mathematics in Science & Technology
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2018-06-27_Barton_Etheridgde.mp4

    Informations sur la rencontre

    Nom de la rencontre : Probability and biological evolution / Probabilités et évolution biologique
    Organisateurs de la rencontre : Pardoux, Etienne ; Wakolbinger, Anton
    Dates : 25/06/2018 - 29/06/2018
    Année de la rencontre : 2018
    URL Congrès : https://conferences.cirm-math.fr/1774.html

    Citation Data

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

    Voir aussi


    1. 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

    2. 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

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