Differential number counts recovered from 500 realizations of the number counts models determined through Monte Carlo simulations (orange) and the fiducial model (gray). The shaded regions represent the 90% confidence intervals of the counts recovered from the simulated maps. The black points are raw differential number counts, as defined in Sect. 3. The underlying counts models and the fiducial model (Geach et al. 2017) are plotted in blue and gray, respectively. The effect of flux boosting can be observed as the shaded regions are lying above their input model. We note that the lower zero limits of the fiducial model realizations at faint fluxes reflect the non-uniform noise structure of our maps, where incompleteness increases with the distance, from the center of the map.