Redshift evolution of the integrated densities: Integrated number density function calculated for a sample of the model parameter drawn from the posterior. Increased colour saturation indicates a larger value for the probability density. Distributions in pink have been constrained by data, while green distributions are linearly extrapolated. For Figures 13a and b, observations collected by Bhatawdekar et al. (2018) are shown in grey. (a) Stellar mass density. (b) SFR density. (c) Type 1 active black hole mass density. (d) AGN bolometric luminosity density.