Genealogical constructions of population models
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Publication:2327935
DOI10.1214/18-AOP1266zbMath1466.60147arXiv1402.6724OpenAlexW2964303811MaRDI QIDQ2327935
Thomas G. Kurtz, Alison M. Etheridge
Publication date: 8 October 2019
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.6724
stochastic equationsgeneratorsvoter modelpopulation modelMoran modelstepping stone modelgenealogieslookdown constructionlambda Fleming-Viot process
Continuous-time Markov processes on general state spaces (60J25) Population dynamics (general) (92D25) Ecology (92D40)
Related Items (15)
Markov genealogy processes ⋮ Dynamics of lineages in adaptation to a gradual environmental change ⋮ Spatial birth-and-death processes with a finite number of particles ⋮ Developments in coalescent theory from single loci to chromosomes ⋮ Natural selection in spatially structured populations ⋮ Looking forwards and backwards: dynamics and genealogies of locally regulated populations ⋮ Evolving genealogies for branching populations under selection and competition ⋮ Existence, uniqueness and ergodicity for the centered Fleming-Viot process ⋮ Spine for interacting populations and sampling ⋮ A representation for exchangeable coalescent trees and generalized tree-valued Fleming-Viot processes ⋮ Rescaling limits of the spatial Lambda-Fleming-Viot process with selection ⋮ Stochastic PDEs on graphs as scaling limits of discrete interacting systems ⋮ Fecundity regulation in a spatial birth-and-death process ⋮ Genealogical constructions and asymptotics for continuous-time Markov and continuous-state branching processes ⋮ Stochastic partial differential equations describing neutral genetic diversity under short range and long range dispersal
Cites Work
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- Stochastic p.d.e.'s arising from the long range contact and long range voter processes
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