Point-like source completeness analysis for all three simulated sky regions: Equatorial (red diamonds), Intermediate (green circles) and Deep (blue squares). The abscissa is the input source flux. Top panel: point-like detection efficiency. Discontinuous lines represent the parametrized models described in Appendix A. Middle panel: differential number counts. Bottom panel: integral number of point-like sources. In the middle and bottom panels, the solid line shows the input distribution. The error is given by the standard deviation over the simulations.