Natural microbial populations often have complex spatial structures. This can impact their evolution, in particular the ability of mutants to take over. While mutant fixation probabilities …
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 …
We consider the task of filtering a dynamic parameter evolving as a diffusion process, given data collected at discrete times from a likelihood which is conjugate to the reversible law of …
C Boetti, M Ruggiero - Journal of Mathematical Biology, 2024 - Springer
Abstract Coupled Wright–Fisher diffusions have been recently introduced to model the temporal evolution of finitely-many allele frequencies at several loci. These are vectors of …
In this paper an exact rejection algorithm for simulating paths of the coupled Wright–Fisher diffusion is introduced. The coupled Wright–Fisher diffusion is a family of multivariate Wright …
E Aurell, M Ekeberg, T Koski - arXiv preprint arXiv:1906.00716, 2019 - arxiv.org
In this paper we introduce a multilocus diffusion model of a population of $ N $ haploid, asexually reproducing individuals. The model includes parent-dependent mutation and …
Abstract The two-parameter Poisson–Dirichlet diffusion takes values in the infinite ordered simplex and extends the celebrated infinitely-many-neutral-alleles model, having a two …
M Favero, H Hult - Electronic Communications in Probability, 2022 - projecteuclid.org
The results in this paper provide new information on asymptotic properties of classical models: the neutral Kingman coalescent under a general finite-alleles, parent-dependent …
M Favero, H Hult - Electronic Journal of Probability, 2024 - projecteuclid.org
The Kingman coalescent is a fundamental process in population genetics modelling the ancestry of a sample of individuals backwards in time. In this paper, in a large-sample-size …