Comparison and content of the Wright-Fisher model of random genetic drift, the diffusion approximation, and an intermediate model

DOI10.1016/j.jtbi.2010.10.014zbMath1307.92297OpenAlexW2111126577WikidataQ51645364 ScholiaQ51645364MaRDI QIDQ2261626

Yanyan Li

Publication date: 9 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.10.014

zbMATH Keywords

Wright-Fisher modeltheoryrandom genetic driftdiffusion analysis

Mathematics Subject Classification ID

Problems related to evolution (92D15) Reaction-diffusion equations (35K57) Genetics and epigenetics (92D10)

Related Items (11)

On simulating the short and long memory of ergodic Markov and non-Markov genetic diffusion processes on the long run ⋮ A modified wright-Fisher model that incorporates \(N_e\): a variant of the standard model with increased biological realism and reduced computational complexity ⋮ Evolutionary control: targeted change of allele frequencies in natural populations using externally directed evolution ⋮ A Wright-Fisher model with indirect selection ⋮ Moran-type bounds for the fixation probability in a frequency-dependent Wright-Fisher model ⋮ Exact Markov chain and approximate diffusion solution for haploid genetic drift with one-way mutation ⋮ Fixation in large populations: a continuous view of a discrete problem ⋮ The frequency-dependent Wright-Fisher model: diffusive and non-diffusive approximations ⋮ Evaluating genetic drift in time-series evolutionary analysis ⋮ Inference in population genetics using forward and backward, discrete and continuous time processes ⋮ Revisiting the time until fixation of a neutral mutant in a finite population -- a coalescent theory approach

Cites Work

• Non-negative matrices and Markov chains. 2nd ed
• Singular solutions of the diffusion equation of population genetics
• Error estimate for the diffusion approximation of the Wright--Fisher model.
• Numerical results and diffusion approximations in a genetic process
• SOLUTION OF A PROCESS OF RANDOM GENETIC DRIFT WITH A CONTINUOUS MODEL
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