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H 2 A non exchangeable coalescent arising in phylogenetics

Auteurs : Lambert, Amaury (Auteur de la Conférence)
CIRM (Editeur )

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reconstructed tree comb metric ultrametric spaces - representation theorem comb metric spaces - examples coalescent point process evolutionary processes - inference red queen population dynamics - model large population limit speciation - model non-exchangeable coalescent process intertwining phylogenetic tree - simulation Kingman coalescent

Résumé : A popular line of research in evolutionary biology is to use time-calibrated phylogenies in order to infer the underlying diversification process. This involves the use of stochastic models of ultrametric trees, i.e., trees whose tips lie at the same distance from the root. We recast some well-known models of ultrametric trees (infinite regular trees, exchangeable coalescents, coalescent point processes) in the framework of so-called comb metric spaces and give some applications of coalescent point processes to the phylogeny of bird species.

However, these models of diversification assume that species are exchangeable particles, and this always leads to the same (Yule) tree shape in distribution. Here, we propose a non-exchangeable, individual-based, point mutation model of diversification, where interspecific pairwise competition is only felt from the part of individuals belonging to younger species. As the initial (meta)population size grows to infinity, the properly rescaled dynamics of species lineages converge to a one-parameter family of coalescent trees interpolating between the caterpillar tree and the Kingman coalescent.

Keywords: ultrametric tree, inference, phylogenetic tree, phylogeny, birth-death process, population dynamics, evolution

Codes MSC :
54E45 - Compact (locally compact) metric spaces
54E70 - Probabilistic metric spaces
60J80 - Branching processes (Galton-Watson, birth-and-death, etc.)
60J85 - Applications of branching processes
92D15 - Problems related to evolution
92D25 - Population dynamics (general)

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 30/06/15
    Date de captation : 17/06/15
    Sous collection : Research talks
    arXiv category : Quantitative Biology ; Probability
    Domaine : Topology ; Probability & Statistics ; Mathematics in Science & Technology
    Format : QuickTime (.mov) Durée : 00:46:32
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2015-06-17_Lambert.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 : 15/06/15 - 19/06/15
Année de la rencontre : 2015
URL Congrès : http://conferences.cirm-math.fr/1112.html

Citation Data

DOI : 10.24350/CIRM.V.18772603
Cite this video as: Lambert, Amaury (2015). A non exchangeable coalescent arising in phylogenetics. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18772603
URI : http://dx.doi.org/10.24350/CIRM.V.18772603