Moran models and Wright–Fisher diffusions with selection and mutation in a one-sided random environment

DOI10.1017/apr.2022.54arXiv1911.12089MaRDI QIDQ6068841

Grégoire Véchambre, Fernando Cordero

Publication date: 15 December 2023

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12089

zbMATH Keywords

dualityrandom environmentWright-Fisher diffusionMoran modelancestral selection graph

Mathematics Subject Classification ID

Problems related to evolution (92D15) Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (1)

Combinatorics of ancestral lines for a Wright-Fisher diffusion with selection in a Lévy environment

Cites Work

• Unnamed Item
• Yamada-Watanabe results for stochastic differential equations with jumps
• The common ancestor type distribution of a \(\Lambda\)-Wright-Fisher process with selection and mutation
• Strong solutions of jump-type stochastic equations
• Tightness for processes with fixed points of discontinuities and applications in varying environment
• Common ancestor type distribution: a Moran model and its deterministic limit
• The impact of selection in the \(\Lambda\)-Wright-Fisher model
• On martingales and Feller semigroups
• Random temporal variation in selection intensities: Case of large population size
• Temporal fluctuations in selection intensities: Case of small population size
• Random temporal variation in selection intensities: One-locus two-allele model
• Ancestral processes with selection
• The ancestral graph and gene genealogy under frequency-dependent selection
• Coalescent approximation for structured populations in a stationary random environment
• Lines of descent under selection
• Duality and fixation in \(\Xi\)-Wright-Fisher processes with frequency-dependent selection
• Forward and backward diffusion approximations for haploid exchangeable population models.
• The spatial Lambda-Fleming-Viot process with fluctuating selection
• Lines of descent in the deterministic mutation-selection model with pairwise interaction
• General selection models: Bernstein duality and minimal ancestral structures
• Stochastic equations of non-negative processes with jumps
• On the notion(s) of duality for Markov processes
• The effects of stochastic environments on allele frequencies in natural populations
• Looking down in the ancestral selection graph: a probabilistic approach to the common ancestor type distribution
• Scaling limits of population and evolution processes in random environment
• On the stationary distribution of the block counting process for population models with mutation and selection
• Equivalence of Stochastic Equations and Martingale Problems
• On the Simpson index for the Wright–Fisher process with random selection and immigration
• Foundations of Modern Probability
• A coalescent dual process in a Moran model with genic selection, and the lambda coalescent limit

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