Stochastic theory of population genetics

DOI10.1007/BF02459586zbMath0522.92007OpenAlexW4233126866MaRDI QIDQ1056690

Takeo Maruyama

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf02459586

zbMATH Keywords

population geneticsKolmogorov equationsdiffusion equationsreviewnumerical analysisgeographically structured populationsfixation probabilitiesgene frequency distributionpanmictic population

Mathematics Subject Classification ID

Problems related to evolution (92D15) Stochastic integrals (60H05) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

Preclusion of steady-state statistical equilibrium in a population model with environmental stochasticity ⋮ Smallness of the number of incompatibility loci can facilitate parapatric speciation ⋮ 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 ⋮ Separation of time scales, fixation probabilities and convergence to evolutionarily stable states under isolation by distance ⋮ Random collision model for random genetic drift and stochastic difference equation ⋮ The exact values of the probability of fixation of underdominant chromosomal rearrangements ⋮ Existence of steady-state probability distributions in multilocus models for genotype evolution

Cites Work

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