The effect of a mutation on fitness may differ between populations, depending on environmental and genetic context. Experimental studies have shown that such differences exist, but little is known about the broad patterns of such differences or the factors that drive them. To quantify genome-wide patterns of differences in mutation fitness effects, we extended the concept of a distribution of fitness effects (DFE) to a joint DFE between populations. To infer the joint DFE, we fit parametric models that included demographic history to genomic data summarized by the joint allele frequency spectrum. Using simulations, we showed that our approach is statistically powerful and robust to many forms of model misspecification. We then applied our approach to populations of Drosophila melanogaster, wild tomatoes, and humans. We found that mutation fitness effects are overall least correlated between populations in tomatoes and most correlated in humans, corresponding to overall genetic differentiation. In D. melanogaster and tomatoes, mutations in genes involved in immunity and stress response showed the lowest correlation of fitness effects, consistent with environmental influence. In D. melanogaster and humans, deleterious mutations showed a lower correlation of fitness effects than tolerated mutations, hinting at the complexity of the joint DFE. Together, our results show that the joint DFE can be reliably inferred and that it offers extensive insight into the genetics of population divergence. 2 mutation's effect on fitness, population genetics theory can predict a great deal; for example, how likely 3 the mutation is to be lost from or fix in the population. But population genetics theory cannot predict 4 how likely a new mutation is to have a given effect on fitness. It is known that typically the majority of 5 mutations are deleterious (reduce fitness) or nearly neutral (negligible effect on fitness), so only a small 6 minority are adaptive (increase fitness). But these three categories encompass a continuum of fitness effects.
7This continuum is quantified by the distribution of fitness effects (DFE) among new mutations (Eyre-Walker 8