On the genealogy of a sample of neutral rare alleles.

DOI10.1006/tpbi.2000.1469zbMath1037.92027OpenAlexW2023245753WikidataQ52075220 ScholiaQ52075220MaRDI QIDQ1597414

Carsten Wiuf

Publication date: 2000

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

Full work available at URL: https://semanticscholar.org/paper/94976649e165d45d361760524254859b15c19747

zbMATH Keywords

age of mutationgenealogysampling schemesimulation algorithmcoalescent theoryrare alleleconditioning on mutationconvergence of ancestral chains

Mathematics Subject Classification ID

Problems related to evolution (92D15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10)

Related Items (5)

The frequency spectrum of a mutation, and its age, in a general diffusion model ⋮ Rare alleles and selection. ⋮ Ewens' sampling formula and related formulae: combinatorial proofs, extensions to variable population size and applications to ages of alleles ⋮ Some properties of the conditioned reconstructed process with Bernoulli sampling ⋮ Coalescent models derived from birth-death processes

Cites Work

• Line-of-descent and genealogical processes, and their applications in population genetics models
• Simulation methodology - an introduction for queueing theorists
• The coalescent
• Conditional genealogies and the age of a neutral mutant
• On the genealogy of nested subsamples from a haploid population
• The age of a mutation in a general coalescent tree
• Convergence of stochastic processes
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