Crossing a fitness valley as a metastable transition in a stochastic population model

DOI10.1214/19-AAP1487zbMath1433.92033arXiv1801.06473MaRDI QIDQ2299586

Loren Coquille, Anton Bovier, Charline Smadi

Publication date: 21 February 2020

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06473

zbMATH Keywords

couplingselective sweepeco-evolutionbirth and death process with immigrationcompetitive Lotka-Volterra system with mutations

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85) Population dynamics (general) (92D25) Ecology (92D40)

Related Items

Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations ⋮ Multiscale eco-evolutionary models: from individuals to populations ⋮ Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022 ⋮ Unnamed Item ⋮ On Λ-Fleming–Viot processes with general frequency-dependent selection ⋮ Stochastic analysis of emergence of evolutionary cyclic behavior in population dynamics with transfer ⋮ Stochastic individual-based models with power law mutation rate on a general finite trait space ⋮ From adaptive dynamics to adaptive walks

Cites Work

• Unnamed Item
• Unnamed Item
• The interplay of two mutations in a population of varying size: A stochastic eco-evolutionary model for clonal interference
• Traveling waves of selective sweeps
• The rate at which asexual populations cross fitness valleys
• Polymorphic evolution sequence and evolutionary branching
• Convergence of an infinite dimensional stochastic process to a spatially structured trait substitution sequence
• Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
• The pace of evolution across fitness valleys
• The effect of recurrent mutations on genetic diversity in a large population of varying size
• A stochastic model for speciation by mating preferences
• A microscopic probabilistic description of a locally regulated population and macroscopic approximations
• The recovery of a recessive allele in a Mendelian diploid model
• The dynamical theory of coevolution: A derivation from stochastic ecological processes
• From stochastic, individual-based models to the canonical equation of adaptive dynamics in one step
• Evolutionary dynamics of invasion and escape
• On time scales and quasi-stationary distributions for multitype birth-and-death processes
• Dynamics of escape mutants
• A microscopic interpretation for adaptive dynamics trait substitution sequence models
• Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes
• Random Graphs and Complex Networks
• Conditional Distributions and Waiting Times in Multitype Branching Processes
• From Individual Stochastic Processes to Macroscopic Models in Adaptive Evolution
• Multitype Bienaymé–Galton–Watson processes escaping extinction
• Trait substitution trees on two time scales analysis
• Chapter 1 Stochastic Epidemic Models
• Large population limit and time behaviour of a stochastic particle model describing an age-structured population
• Genealogies of two linked neutral loci after a selective sweep in a large population of stochastically varying size
• On the Waiting Time to Escape
• Metastability