BHARD (top) and BHMD (bottom) vs. redshift with different gas accretion models in the L50n768 simulations. The solid lines show the model without an unresolved accretion disk, the dashed respective simulations with a sub-grid accretion disk model. The grey line shows the respective version of the runs with the IllustrisTNG model, for reference. In red, yellow and black, we show measurements form Marconi et al. (2004), Shankar et al. (2004), Buchner et al. (2015), respectively. All densities are measured in comoving coordinates.