Vertically integrated size distributions predicted by the recipe of Birnstiel et al. (2011, Section 5.2) for three different turbulence levels. The blue curves show the distribution when the settling is described by Equation (9), while the orange curves correspond to the case where all dust particles share the same scale height. The settling size s_sett is indicated by the vertical marker. Differences are most pronounced when the turbulence is weak.