The resulting power-law indices (﹩{{\rm{\Gamma }}}_{Z}﹩ and β_Z) as a function of planet mass for the case that solid accretion onto planets occurs from gapped planetesimal disks. The thick gray line denotes the results obtained from ﹩{\dot{M}}_{p,\min }﹩ (see Figure 1). The horizontal, shaded silver region represents the results of T16 that can be reproduced by the regime of ﹩{\dot{M}}_{p,\mathrm{hydro}}﹩ (see the vertical dashed lines marked by ﹩{M}_{p,\mathrm{transI}}﹩ and ﹩{M}_{p,\mathrm{transII}}﹩).