Simulation results. (A) Outgroup F3 statistics (yellow) and (white) for a panel of populations with linearly increasing divergence time. Both statistics are scaled to have the same range, with the first divergence between the most closely related populations set to zero. F3 is inverted, so that it increases with distance. (B) Simulated (boxplots) and predicted (blue) F3 statistics under a simple admixture model. (C) Comparison of F4 ratio (yellow triangles, Equation 29) and ratio of differences (black circles, Equation 31).