Abstract The coupled Wright–Fisher diffusion is a multi-dimensional Wright–Fisher diffusion
for multi-locus and multi-allelic genetic frequencies, expressed as the strong solution to a
system of stochastic differential equations that are coupled in the drift, where the pairwise
interaction among loci is modelled by an inter-locus selection. In this paper, an ancestral
process, which is dual to the coupled Wright–Fisher diffusion, is derived. The dual process
corresponds to the block counting process of coupled ancestral selection graphs, one for …

Abstract The coupled Wright–Fisher diffusion is a multi-dimensional Wright–Fisher diffusion
for multi-locus and multi-allelic genetic frequencies, expressed as the strong solution to a
system of stochastic differential equations that are coupled in the drift, where the pairwise
interaction among loci is modelled by an inter-locus selection. In this paper, an ancestral
process, which is dual to the coupled Wright–Fisher diffusion, is derived. The dual process
corresponds to the block counting process of coupled ancestral selection graphs, one for …