Dependency of the cluster number density on survey depth. The cluster number density per sky area n_A was calculated for the clusters detected using the eROMaPPer blind mode in the LS DR10 south using the grz filter bands. The data was split into five bins in photometric cluster redshift z_λ. For each redshift bin, the densities were calculated for bins in limiting redshift z_vlim and richness λ_norm. We consider the cluster properties reliable when local survey depth is sufficiently deep, that is, z_λ < z_vlim (see Appendix B for details). Those clusters are located to the right of the red line where the number density does not depend on z_vlim. The number density left of the red line increases, which indicates a growing number of false-positive detections.