Coalescent approximation for structured populations in a stationary random environment

DOI10.1016/j.tpb.2010.06.008zbMath1403.92153arXiv1001.2907OpenAlexW2067862952WikidataQ37771478 ScholiaQ37771478MaRDI QIDQ1630954

Peter Jagers, Vladimir A. Vatutin, Serik Sagitov

Publication date: 5 December 2018

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

Full work available at URL: https://arxiv.org/abs/1001.2907

zbMATH Keywords

Kingman's coalescentstationary random environmentMöhle's lemmaquenched effective population sizestructured Wright-Fisher model

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25) Genetics and epigenetics (92D10)

Related Items

Birth-death branching models. Application to African elephant populations ⋮ Moran models and Wright–Fisher diffusions with selection and mutation in a one-sided random environment ⋮ Asymptotic dynamics in populations structured by sensitivity to global warming and habitat shrinking ⋮ Combinatorics of ancestral lines for a Wright-Fisher diffusion with selection in a Lévy environment ⋮ Stochastic modeling in biological populations with sexual reproduction through branching models: application to Coho salmon populations

Cites Work

• The strong-migration limit in geographically structured populations
• On the concept of the effective population size
• Markov chains with stochastically stationary transition probabilities
• The strong-migration limit for the genealogical process in geographically structured populations
• Segregating sites in Wright's island model
• Mathematical population genetics. I: Theoretical introduction.
• Forward and backward diffusion approximations for haploid exchangeable population models.
• The coalescent effective size of age-structured populations
• A convergence theorem for markov chains arising in population genetics and the coalescent with selfing
• Convergence to the coalescent in populations of substantially varying size
• Markov chains with random transition matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item