Transformation of the luminosity relation across redshifts for objects with $L_{\mathrm{OPT}}^{\mathrm{disk}}>{10}^{45}$ [erg/s]. The first plot shows the relation between the photometric method estimated luminosities. The second plot shows the OPT-IR relation for CIGALE $L_{\mathrm{disk}}^{\mathrm{OPT}}$ and $L_{\mathrm{torus}}^{\mathrm{IR}}$. The third plot shows the $L_{\mathrm{OPT}}^{\mathrm{reduced}\mathrm{photo}}$ and $L_{\mathrm{IR}}^{\mathrm{reduced}\mathrm{photo}}$ with reduced contaminations, described in the Sect. 5.7. The fourth plot shows the transformed luminosities, described in Sect. 5.6.