Upper panels: mean merger histories as a function of look-back time for central galaxies of stellar mass |$M_\star = 10^{11.5} \,\, {\rm and} \,\, 10^{12} \, \mathrm{M}_\odot$| at |$z=0$|⁠, respectively, when inputting an evolving SMF model. The blue solid, yellow dotted, and green dashed show the cases where merging satellite galaxies are assumed to not evolve their mass after infall, accrete mass via star formation and lose mass via tidal stripping, respectively. The results are compared with the mean growth histories from GalICS (red dashed lines) and the TNG simulation (purple dash-dotted lines). Central panels: Same as upper panels but for mean stellar mass accreted via star formation. Lower panels: same as upper panels but for specific star formation rates.