Top left panel: DM halo assembly time t_age vs. halo mass and redshift. Top right panel: calibration of our model using the Bouwens et al. (2007) LF at z = 4. Bottom left panel: star formation efficiencies η(M_h) and ε(M_h) for the burst and accretion mode, respectively. The highest efficiencies are in the range M_h ~ 10¹¹–10¹² M_☉. Bottom right panel: the relation between galaxy luminosity and DM halo mass, L(M_h, z), plotted at z = 2, 4, and 8. The inset shows the scatter in the L(M_h, z) relation at z = 4 produced by sampling the whole probability distribution of halo assembly times. In all panels, shaded areas represent 68% confidence regions.