Magnitude and redshift of the galaxies of the input catalog (orange density contours) and evolution with redshift of the characteristic magnitude of the luminosity function, m_⋆, for two different models with different formation redshifts and star formation burst, as shown in the legend. The model with z_f = 8 and past burst is the one used for the model in this work, marked by the solid purple line. This model better describes the trend of magnitude with respect to the one represented by the solid blue line. The dashed purple line indicates the same model, but for m_⋆ + 1.5 which is the limit used in the definition of the intrinsic richness.