To test the robustness of our results to different types of inbreeding measures, we also calculated a different type of inbreeding coefficient based on the correlation between uniting gametes, as implemented in GCTA (i.e. F^III (Yang et al. 2011b); termed Falt in Keller et al 2011b); no pruning was used). We chose this coefficient over the other two inbreeding coefficients implemented in GCTA because it is independent of the MAF and therefore less biased and is predicted to have lower error (Yang et al. 2011b).