Illustration of the proposed test to confront two sets of summary statistics, ϕ_A versus ϕ_B, on their degeneracy level for a given dataset. Each star represents a pair of patches. Panel a: the presence of stars in the bottom right region, i.e., where d_ϕA ≫ 1 and d_ϕB ⪅ 1, reveals that some pairs of this dataset are identified by ϕ_A as incompatible but not by ϕ_B: such pairs thus evidence degeneracies of ϕ_B lifted by ϕ_A. Conversely, the presence of stars in the top left region evidences degeneracies of ϕ_A lifted by ϕ_B. Hence, if all the points land mainly in the sub-diagonal part (panel b), this evidences that ϕ_A is better suited than ϕ_B to compare the pairs of this dataset. If on the contrary the points are spread both in the upper left and bottom right regions of the plot (panel c), this shows that both ϕ_A and ϕ_B are individually not sufficient to describe the processes of this dataset.