Comparison between the volume-limited and flux-limited samples built with clusters detected as extended and simulated ones. The top panels display the volume-limited samples, the bottom panels show the flux-limited ones. Left-hand panels: relative contribution to the total cluster number density as a function of redshift for the four different populations. The lower plot shows the ratio between the N(z) built with the samples of detected and simulated clusters. Right-hand panels: relative contribution to the total cluster number density as a function of mass for the four different populations. The lower plot shows the ratio between the N(z) built with the samples of detected and simulated clusters.