Common ancestor type distribution: a Moran model and its deterministic limit

DOI10.1016/j.spa.2016.06.019zbMath1353.92066arXiv1508.06113OpenAlexW2199717001MaRDI QIDQ730352

Fernando Cordero

Publication date: 27 December 2016

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

Full work available at URL: https://arxiv.org/abs/1508.06113

zbMATH Keywords

pruningancestral selection graphcommon ancestor type distributionlookdown constructionMoran model with selection and mutation

Mathematics Subject Classification ID

Problems related to evolution (92D15) Diffusion processes (60J60) Genetics and epigenetics (92D10) Continuous-time Markov processes on discrete state spaces (60J27) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items

On the stationary distribution of the block counting process for population models with mutation and selection ⋮ Lines of descent under selection ⋮ Lines of descent in a Moran model with frequency-dependent selection and mutation ⋮ Moran models and Wright–Fisher diffusions with selection and mutation in a one-sided random environment ⋮ A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent ⋮ Solving the selection-recombination equation: ancestral lines and dual processes ⋮ Haldane's formula in Cannings models: the case of moderately weak selection ⋮ Lines of descent in the deterministic mutation-selection model with pairwise interaction

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