A production function (i.e. the cumulative number N(>D) of families with parent-body size D_PB larger than D) for all observed families (black) and families corresponding to catastrophic disruptions (red), i.e. with largest remnant/parent body mass ratio lower than 0.5. We also plot a theoretical slope according to Eq. (1), assuming q_target = −3.2 and q_project = −1.2, which correspond to the slopes of the main belt population in the range D = 100–200 km and D = 15–60 km, respectively.