The coalescent effective size of age-structured populations

DOI10.1214/105051605000000223zbMath1073.92034arXivmath/0508454OpenAlexW3102321213MaRDI QIDQ2572393

Serik Sagitov, Peter Jagers

Publication date: 8 November 2005

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508454

zbMATH Keywords

effective population sizeoverlapping generationspopulation geneticsexchangeability

Mathematics Subject Classification ID

Problems related to evolution (92D15) Functional limit theorems; invariance principles (60F17) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (11)

Coalescent approximation for structured populations in a stationary random environment ⋮ Metapopulation inbreeding dynamics, effective size and subpopulation differentiation -- a general analytical approach for diploid organisms ⋮ Convergence to the structured coalescent process ⋮ Coalescent theory for age-structured random mating populations with two sexes ⋮ Quasi equilibrium, variance effective size and fixation index for populations with substructure ⋮ Characteristics of the variance effective population size over time using an age structured model with variable size ⋮ On the eigenvalue effective size of structured populations ⋮ Local fluctuations of genetic processes defined on two time scales, with applications to effective size estimation ⋮ Population Genetics Models with Skewed Fertilities: A Forward and Backward Analysis ⋮ Coalescence theory for a general class of structured populations with fast migration ⋮ Estimation of the variance effective population size in age structured populations

Cites Work

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• A convergence theorem for markov chains arising in population genetics and the coalescent with selfing
• Robustness results for the coalescent
• The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
• Convergence to the coalescent in populations of substantially varying size
• Convergence to the coalescent with simultaneous multiple mergers

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