Sampling probabilities, diffusions, ancestral graphs, and duality under strong selection
M Favero, PA Jenkins - arXiv preprint arXiv:2312.17406, 2023 - arxiv.org
Wright-Fisher diffusions and their dual ancestral graphs occupy a central role in the study of
allele frequency change and genealogical structure, and they provide expressions, explicit …
allele frequency change and genealogical structure, and they provide expressions, explicit …
A Wright-Fisher graph model and the impact of directional selection on genetic variation
We introduce a multi-allele Wright-Fisher model with non-recurrent, reversible mutation and
directional selection. In this setting, the allele frequencies at a single locus track the path of a …
directional selection. In this setting, the allele frequencies at a single locus track the path of a …
[PDF][PDF] Convergence of Bayesian estimators for diffusions in genetics
A number of discrete time, finite population size models in genetics describing the dynamics
of allele frequencies are known to converge (subject to suitable scaling) to a diffusion …
of allele frequencies are known to converge (subject to suitable scaling) to a diffusion …
The effective strength of selection in random environment
AG Casanova, D Spanò, M Wilke-Berenguer - arXiv preprint arXiv …, 2019 - arxiv.org
We analyse a family of two-types Wright-Fisher models with selection in a random
environment and skewed offspring distribution. We provide a calculable criterion to quantify …
environment and skewed offspring distribution. We provide a calculable criterion to quantify …
[PDF][PDF] The stationary distribution of a Wright-Fisher diffusion model with general small mutation rates
CJ Burden, RC Griffiths - arXiv preprint arXiv:1802.07875, 2018 - arxiv.org
The stationary distribution of a sample taken from a Wright-Fisher diffusion with general
small mutation rates is found using a coalescent approach. The approximation is equivalent …
small mutation rates is found using a coalescent approach. The approximation is equivalent …
The common ancestor process for a Wright-Fisher diffusion
J Taylor - 2007 - projecteuclid.org
Rates of molecular evolution along phylogenetic trees are influenced by mutation, selection
and genetic drift. Provided that the branches of the tree correspond to lineages belonging to …
and genetic drift. Provided that the branches of the tree correspond to lineages belonging to …
The effective strength of selection in random environment
A González Casanova, D Spanò… - arXiv e …, 2019 - ui.adsabs.harvard.edu
We analyse a family of two-types Wright-Fisher models with selection in a random
environment and skewed offspring distribution. We provide a calculable criterion to quantify …
environment and skewed offspring distribution. We provide a calculable criterion to quantify …
Small time approximation in Wright-Fisher diffusion
T Roa, MI Fariello, G Martínez, J León - arXiv preprint arXiv:2212.11442, 2022 - arxiv.org
Wright-Fisher model has been widely used to represent random variation in allele frequency
over time, due to its simple form even though, a closed analytical form for the allele …
over time, due to its simple form even though, a closed analytical form for the allele …
Inference under a Wright-Fisher model using an accurate beta approximation
The large amount and high quality of genomic data available today enable, in principle,
accurate inference of evolutionary histories of observed populations. The Wright-Fisher …
accurate inference of evolutionary histories of observed populations. The Wright-Fisher …
An approximate stationary solution for multi-allele neutral diffusion with low mutation rates
CJ Burden, Y Tang - Theoretical population biology, 2016 - Elsevier
We address the problem of determining the stationary distribution of the multi-allelic, neutral-
evolution Wright–Fisher model in the diffusion limit. A full solution to this problem for an …
evolution Wright–Fisher model in the diffusion limit. A full solution to this problem for an …