An alternative derivation of the stationary distribution of the multivariate neutral Wright-Fisher model for low mutation rates with a view to mutation rate estimation from site frequency data

DOI10.1016/j.tpb.2016.12.001zbMath1369.92075OpenAlexW2561074856WikidataQ31152266 ScholiaQ31152266MaRDI QIDQ2399079

Dominik Schrempf, Asger Hobolth

Publication date: 21 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.tpb.2016.12.001

zbMATH Keywords

diffusion equationstationary distributionWright-Fisher modelMoran modelboundary mutation model

Mathematics Subject Classification ID

Problems related to evolution (92D15) Genetics and epigenetics (92D10)

Related Items (9)

Stationary distribution of a 2-island 2-allele wright-Fisher diffusion model with slow mutation and migration rates ⋮ Fixation in the stochastic Lotka-Volterra model with small fitness trade-offs ⋮ Maximum likelihood estimators for scaled mutation rates in an equilibrium mutation-drift model ⋮ An evolutionary model that satisfies detailed balance ⋮ Unnamed Item ⋮ The stationary distribution of a sample from the Wright-Fisher diffusion model with general small mutation rates ⋮ The transition distribution of a sample from a Wright-Fisher diffusion with general small mutation rates ⋮ Consistency and identifiability of the polymorphism-aware phylogenetic models ⋮ The stationary and quasi-stationary properties of neutral multi-type branching process diffusions

Uses Software

• IQ-TREE
• PoMo
• DFVLR-SQP

Cites Work

• Inference of directional selection and mutation parameters assuming equilibrium
• Reversible polymorphism-aware phylogenetic models and their application to tree inference
• A coalescent dual process in a Moran model with genic selection
• An approximate stationary solution for multi-allele neutral diffusion with low mutation rates
• The allele-frequency spectrum in a decoupled Moran model with mutation, drift, and directional selection, assuming small mutation rates
• Probability Models for DNA Sequence Evolution
• A transition density expansion for a multi-allele diffusion model
• Diffusion models in population genetics
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