Perturbation expansions of multilocus fixation probabilities for frequency-dependent selection with applications to the Hill-Robertson effect and to the joint evolution of helping and punishment

DOI10.1016/j.tpb.2009.03.006zbMath1213.92041OpenAlexW2042063509WikidataQ51933537 ScholiaQ51933537MaRDI QIDQ615632

Laurent Lehmann, François Rousset

Publication date: 5 January 2011

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2009.03.006

zbMATH Keywords

coalescence timesmultilocus modelscoevolution of helping and punishment

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Markov processes (60J99)

Related Items (5)

Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models ⋮ Social evolution and genetic interactions in the short and long term ⋮ A mathematical formalism for natural selection with arbitrary spatial and genetic structure ⋮ Fixation probabilities of strategies for bimatrix games in finite populations ⋮ Effect of epistasis and linkage on fixation probability in three-locus models: an ancestral recombination-selection graph approach

Uses Software

• Mathematica

Cites Work

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• A minimal derivation of convergence stability measures
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• Probability of fixation of genes in populations of variable size
• nth-order derivatives of certain inverses and the Bell polynomials
• A Probability Method for Treating Inbreeding Systems, Especially with Linked Genes
• Kemeny's Constant and the Random Surfer
• Equilibrium behavior of population genetic models with non-random mating. Part II: Pedigrees, Homozygosity and Stochastic Models
• An Inverse Matrix Adjustment Arising in Discriminant Analysis

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