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We consider a population evolving due to mutation, selection andrecombination, where selection includes single-locus terms (additive fitness)and two-loci terms (pairwise epistatic fitness). We further consider theproblem of inferring fitness in the evolutionary dynamics from one or severalsnap-shots of the distribution of genotypes in the population. In the recentliterature this has been done by applying the Quasi-Linkage Equilibrium (QLE)regime first obtained by Kimura in the limit of high recombination. Here weshow that the approach also works in the interesting regime where the effectsof mutations are comparable to or larger than recombination. This leads to amodified main epistatic fitness inference formula where the rates of mutationand recombination occur together. We also derive this formula using by apreviously developed Gaussian closure that formally remains valid whenrecombination is absent. The findings are validated through numericalsimulations.

Inferring epistasis from genomic data with comparable mutation and outcrossing rate