Effect of SB dimming when evolving the low-redshift sample to high redshift. Top: represents the low-redshift simulated stack GLF () and bottom the GLF of the same clusters simulated at high redshift (). Red and blue correspond to the GLFs measured with HST and Subaru, respectively, which are normalized to one square degree. The curves correspond to the Schechter fits to the data. The parameters from each fit are displayed in the corresponding color.