A note on distributions of times to coalescence, under time-dependent population size

DOI10.1016/S0040-5809(02)00010-2zbMath1101.92308WikidataQ47174838 ScholiaQ47174838MaRDI QIDQ849458

Adam Bobrowski, Marek Kimmel, Andrzej Polański

Publication date: 31 October 2006

Published in: Theoretical Population Biology (Search for Journal in Brave)

zbMATH Keywords

large genealogies

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15)

Related Items (16)

The Wright-Fisher site frequency spectrum as a perturbation of the coalescent's ⋮ The distribution of coalescence times and distances between microsatellite alleles with changing effective population size ⋮ Genealogical histories in structured populations ⋮ Non-parametric estimation of population size changes from the site frequency spectrum ⋮ Developments in coalescent theory from single loci to chromosomes ⋮ Summary statistics of neutral mutations in longitudinal DNA samples ⋮ Coalescent size versus coalescent time with strong selection ⋮ Newton’s Method for the McKendrick-von Foerster Equation ⋮ Population genetics of neutral mutations in exponentially growing cancer cell populations ⋮ Descartes' rule of signs and the identifiability of population demographic models from genomic variation data ⋮ Forward and backward evolutionary processes and allele frequency spectrum in a cancer cell population ⋮ Computing the joint distribution of the total tree length across loci in populations with variable size ⋮ The joint allele frequency spectrum of multiple populations: a coalescent theory approach ⋮ On the joint distribution of tree height and tree length under the coalescent ⋮ An efficient algorithm for generating the internal branches of a Kingman coalescent ⋮ Cannings models, population size changes and multiple-merger coalescents

Cites Work

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• Line-of-descent and genealogical processes, and their applications in population genetics models
• The coalescent
• On the number of segregating sites in genetical models without recombination
• The time to the ancestor along sequences with recombination
• Statistical properties of segregating sites
• The age of a mutation in a general coalescent tree
• Times on trees, and the age of an allele

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