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H 1 The infinitesimal model of phenotypic evolution - a microscopic approach

Auteurs : Véber, Amandine (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : In the infinitesimal model, one or several quantitative traits are described as the sum of a genetic and a non-genetic component, the first being distributed within families as a normal random variable centred at the average of the parental genetic components, and with a variance independent of the parental traits. The idea behind the normal distribution of the genetic component is that the genetic part of the trait of interest is the sum of the ‘infinitesimal' contributions of the allelic states at a very large number of loci. This model has been widely used in quantitative genetics, but less so in evolutionary biology and the precise conditionsunder which it holds has remained rather vague. In this talk, we shall provide a mathematical justification of the model as the limit as the number M of loci tends to infinity of a model with Mendelian inheritance, which includes different evolutionary processes (genetic drift, recombination, selection, mutation, population structure, ...). Generalisations of the simple version of the infinitesimal model presented here, as well as some applications, will be presented in the following talks by Nick Barton and Alison Etheridge.

    Keywords : Infinitesimal model; generalised central limit theorem

    Codes MSC :
    60F05 - Central limit and other weak theorems
    60K30 - Applications (congestion, allocation, storage, traffic, etc.), See also {90Bxx}
    92D10 - Genetics

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 02/03/2020
      Date de captation : 10/02/2020
      Collection : Research talks ; Probability and Statistics
      Format : MP4
      Durée : 00:33:53
      Domaine : Probability & Statistics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2020-02-10_Veber.mp4

    Informations sur la rencontre

    Nom de la rencontre : Thematic Month Week 2: Mathematical Models in Evolutionary Biology / Mois thématique Semaine 2 : Modèles mathématiques en biologie de l'évolution
    Organisateurs de la rencontre : Champagnat, Nicolas ; Coville, Jérôme ; Gomulkiewicz, Richard ; Hamel, Francois ; Roques, Lionel
    Dates : 10/02/2020 - 14/02/2020
    Année de la rencontre : 2020
    URL Congrès : https://conferences.cirm-math.fr/2302.html

    Citation Data

    DOI : 10.24350/CIRM.V.19605303
    Cite this video as: Véber, Amandine (2020). The infinitesimal model of phenotypic evolution - a microscopic approach. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19605303
    URI : http://dx.doi.org/10.24350/CIRM.V.19605303


    Voir aussi

    Bibliographie

    1. BARTON, Nicholas H., ETHERIDGE, Alison M., et VÉBER, Amandine. The infinitesimal model: Definition, derivation, and implications. Theoretical population biology, 2017, vol. 118, p. 50-73. - https://doi.org/10.1016/j.tpb.2017.06.001

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