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A non exchangeable coalescent arising in phylogenetics
Post-edited
Authors : Lambert, Amaury (Author of the conference)
CIRM (Publisher )
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 (Publisher )
Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 30/06/15 Conference Date : 17/06/15 Subseries : Research talks arXiv category : Quantitative Biology ; Probability Mathematical Area(s) : Topology ; Probability & Statistics ; Mathematics in Science & Technology Format : QuickTime (.mov) Video Time : 00:46:32 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-06-17_Lambert.mp4 
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Information on the Event
Event Title : Probability and biological evolution / Probabilités et évolution biologiqueEvent Organizers : Pardoux, Etienne ; Wakolbinger, Anton Dates : 15/06/15 - 19/06/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1112.html
Citation Data
DOI : 10.24350/CIRM.V.18772603Cite 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 |
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