Spearman rank distributions. Top: Spearman rank distributions derived for log₁₀(sSFR_tail) and log₁₀(F_tail) when compared with ℳ_3D (blue) and P_ram (red). Each point shows the ranks derived for different realizations of the ℳ_3D and P_ram series. The contours indicate the 2D probability density levels of 0.16, 0.5, and 0.84. The dashed black lines indicate the ρ_s = +0.5, corresponding to an existing positive correlation between the two quantities. The black-outlined points indicate the Spearman ranks measured from the median values reported in Fig. 7. For reference, the blue diamond indicates the correlation rank from the “projected” ℳ (Fig. 4); Bottom: Fraction of realizations with a Spearman rank higher than ρ_s for ℳ_3D (blue) and P_ram (red). The solid lines show the combined fractions of log₁₀(sSFR_tail) and log₁₀(F_tail), and the dashed and dot-dashed lines show the fractions for the individual quantities. The dashed black lines indicate the 0.5 levels on the corresponding axis.