PDF of δ_m, U smoothed with the filters shown in Fig. 3. The orange shaded region is the standard deviation of 48 sub-patches scaled by a 777.4/859.4, where 777.4 deg² is the effective survey area of KiDS-1000 (see Giblin et al. 2021) and 859.4 deg² is the area of one sub-patch. The red dashed curve corresponds to a log-normal PDF with the measured moments and from the smoothed T17 density maps, and indicates the accuracy using a log-normal PDF. The green and the black dashed lines are both from the model; the green corresponds to the PDF of δ_m, U when using log-normal and the black using the bi-variate approach described in Eq. (26). Lower panels: residuals Δp(δ_m, U) of all lines with respect to the simulations.