Completeness curves as a function of r-band magnitude and environment in the four representative regions discussed in the main text, as indicated in each panel. Galaxies in the projected area of G&C are shown in red, field galaxies are shown in black (see Sect. 3 for the definitions of the environments). In all the cases, the KS test on the histograms at r ≤ 20 finds no significant differences between the considered samples, as shown by the p-values indicated in each panel.