English
A non exchangeable coalescent arising in phylogenetics
Post-edited
Auteurs : Lambert, Amaury (Auteur de la Conférence)
CIRM (Editeur )
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)
CIRM (Editeur )
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 : 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
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)
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : 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 : Researchers Download : https://videos.cirm-math.fr/2015-06-17_Lambert.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Probability and biological evolution / Probabilités et évolution biologiqueOrganisateurs 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
Données de citation
DOI : 10.24350/CIRM.V.18772603Citer cette vidéo: 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 |
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