Analysis and Rejection Sampling of Wright-Fisher Diffusion Bridges
Overview
Genetics
Reproductive Medicine
Affiliations
We investigate the properties of a Wright-Fisher diffusion process starting at frequency x at time 0 and conditioned to be at frequency y at time T. Such a process is called a bridge. Bridges arise naturally in the analysis of selection acting on standing variation and in the inference of selection from allele frequency time series. We establish a number of results about the distribution of neutral Wright-Fisher bridges and develop a novel rejection-sampling scheme for bridges under selection that we use to study their behavior.
Haplotype-based inference of the distribution of fitness effects.
Ortega-Del Vecchyo D, Lohmueller K, Novembre J Genetics. 2022; 220(4).
PMID: 35100400 PMC: 8982047. DOI: 10.1093/genetics/iyac002.
Bayesian Inference of Natural Selection from Allele Frequency Time Series.
Schraiber J, Evans S, Slatkin M Genetics. 2016; 203(1):493-511.
PMID: 27010022 PMC: 4858794. DOI: 10.1534/genetics.116.187278.
A path integral formulation of the Wright-Fisher process with genic selection.
Schraiber J Theor Popul Biol. 2013; 92:30-5.
PMID: 24269333 PMC: 3932315. DOI: 10.1016/j.tpb.2013.11.002.