On the genealogy of populations: trees, branches and offspring

DOI10.1088/1742-5468/2005/07/P07011zbMath1459.92062arXivq-bio/0503036MaRDI QIDQ4968866

Maurizio Serva

Publication date: 9 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-bio/0503036

zbMATH Keywords

population dynamics (theory)evolutionary and comparative genomics (theory)

Mathematics Subject Classification ID

Problems related to evolution (92D15) Genetics and epigenetics (92D10) Continuous-time Markov processes on discrete state spaces (60J27)

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Cites Work

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• Lines of descent and the coalescent
• Weak convergence to a Markov chain with an entrance boundary: Ancestral processes in population genetics
• The coalescent
• Evolution in a flat fitness landscape
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Compositions of random functions on a finite set
• The genealogical tree of a chromosome
• Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models
• A statistical model of an evolving population with sexual reproduction
• Weak convergence to the coalescent in neutral population models

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