Comparison of the ERDF prescription used in this paper with the empirical modeling from Aird et al. (2018), with each panel showing a different choice of redshift. In each panel, the colored lines and corresponding shaded regions show the constraints from Aird et al. (2018) for a range of SMBH masses, as labeled in the legend at the lower right; the black dashed and dotted lines show our ERDF prescription (see Equation (12)) for example SMBH masses of 10⁶ and 10⁹ M_⊙, respectively, as labeled in the legend at the lower left. All panels share the same horizontal and vertical axis ranges, which are explicitly labeled in the left panel.