Diffusion approximations for one-locus multi-allele kin selection, mutation and random drift in group-structured populations: a unifying approach to selection models in population genetics

DOI10.1007/s00285-008-0248-1zbMath1231.92053OpenAlexW2075405737WikidataQ51855763 ScholiaQ51855763MaRDI QIDQ843328

Sabin Lessard

Publication date: 12 October 2009

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-008-0248-1

Mathematics Subject Classification ID

Problems related to evolution (92D15) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (11)

Evolutionary games in deme structured, finite populations ⋮ Frequency-dependent growth in class-structured populations: continuous dynamics in the limit of weak selection ⋮ Population genetics on islands connected by an arbitrary network: an analytic approach ⋮ First-order effect of frequency-dependent selection on fixation probability in an age-structured population with application to a public goods game ⋮ Demographic-noise-induced fixation in subdivided populations with migration ⋮ Effective game matrix and inclusive payoff in group-structured populations ⋮ Diffusion approximation for an age-class-structured population under viability and fertility selection with application to fixation probability of an advantageous mutant ⋮ Inclusive fitness from multitype branching processes ⋮ Recurrence Equations for the Probability Distribution of Sample Configurations in Exact Population Genetics Models ⋮ Metacommunities, fitness and gradual evolution ⋮ Inclusive fitness and Hamilton's rule in a stochastic environment

Cites Work

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• The many-demes limit for selection and drift in a subdivided population
• An interpretation and proof of the fundamental theorem of natural selection
• Stochastic theory of population genetics
• The strong-migration limit in geographically structured populations
• Theories of kin and group selection: A population genetics perspective
• On relatedness and adaptive topography in kin selection
• The coalescent
• Semigroups of conditioned shifts and approximation of Markov processes
• Group selection on the boundary of a stable population
• Evolutionarily stable strategies and game dynamics
• The diffusion model for migration and selection in a plant population
• Fisher's fundamental theorem of natural selection revisited
• Mathematical population genetics. I: Theoretical introduction.
• Coalescents with multiple collisions
• Adaptive topography in fertility-viability selection models: An alternative to inclusive fitness in kin selection models
• Relatedness and inclusive fitness with inbreeding
• Evolutionary stability in one-parameter models under weak selection
• The diffusion model for migration and selection in a dioecious population
• Ewens' sampling formula and related formulae: combinatorial proofs, extensions to variable population size and applications to ages of alleles
• Separation of time scales, fixation probabilities and convergence to evolutionarily stable states under isolation by distance
• The sampling theory of selectively neutral alleles
• On the neighbor effect and the evolution of altruistic traits
• Long-term stability from fixation probabilities in finite populations: New perspectives for ESS theory
• Kin selection and coefficients of relatedness in family-structured populations with inbreeding
• Kin Selection: Its Components
• The eleventh R. A. Fisher Memorial Lecture - Kin selection and altruism
• ON AN INEQUALITY IN PARTIAL AVERAGES
• Diffusion approximations of Markov chains with two time scales and applications to population genetics
• Population genetic theory of kin selection: Multiple alleles at one locus
• A class of degenerate diffusion processes occurring in population genetics
• Evolutionary Games and Population Dynamics
• Evolutionary game dynamics
• The general coalescent with asynchronous mergers of ancestral lines
• Diffusion models in population genetics
• The Logic of Animal Conflict
• Statistical genetics and evolution

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