Observed distributions of the mean values of as a functionof the column density (normalized by its maximum value, ) of all the ALMA cores (triangles) and of all the models (crosses). Left: the four lines representing the simulations correspond to results from all the simulations merged together, using RATs or PA, both filtered and not filtered. Right: we focus onthe simulations implementing RATs only, both filtered and not filtered, separating the three simulations with low protostellar accretion luminosity from the three with high accretion luminosity. The shaded areas represent ± the standard deviation of the Gaussian fit performed on each bin of points. The error bars correspond to these standard deviation values divided by the square root of the number of points in each bin.