The coalescent in population models with time-inhomogeneous environment.

DOI10.1016/S0304-4149(01)00135-1zbMath1064.92034OpenAlexW1996637056MaRDI QIDQ1766045

Martin Möhle

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(01)00135-1

zbMATH Keywords

diffusion approximationStirling numberspopulation geneticscoalescentproduct integralancestors

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 (10)

Bivariate Markov chains converging to Lamperti transform Markov additive processes ⋮ Convergence to the coalescent in populations of substantially varying size ⋮ Moran model with simultaneous strong and weak selections: convergence towards a \(\Lambda\)-Wright-Fisher SDE ⋮ Weak convergence of non-neutral genealogies to Kingman's coalescent ⋮ A dynamical innovation diffusion model with fuzzy coefficient and its application to local telephone diffusion in China ⋮ Smaller population size at the MRCA time for stationary branching processes ⋮ Cannings models, population size changes and multiple-merger coalescents ⋮ Structured coalescent with nonconservative migration ⋮ Robust model selection between population growth and multiple merger coalescents ⋮ Coalescent processes obtained from supercritical Galton-Watson processes.

Cites Work

• The coalescent
• Coalescents with multiple collisions
• Coalescents with simultaneous multiple collisions
• A necessary and sufficient condition for the \(\Lambda\)-coalescent to come down from the infinity
• A survey of product-integration with a view toward application in survival analysis
• A genealogical approach to variable-population-size models in population genetics
• The latent roots of certain Markov chains arising in genetics: A new approach, II. Further haploid models
• Robustness results for the coalescent
• The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
• Weak convergence to the coalescent in neutral population models
• The general coalescent with asynchronous mergers of ancestral lines
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