Parameter sample across redshift: A random sample of the model parameter drawn from the posterior distributions at every redshift. Increased colour saturation indicates a larger value for the probability density. (a) Stellar mass function parameter sample. The critical mass parameter M_c^⋆ and AGN feedback parameter δ are weakly constrained at z > 2 and treated as nuisance parameters at higher redshift. (b) UV luminosity function parameter sample. The normalisation A_UV is given in erg s⁻¹ Hz⁻¹ M_⊙⁻¹. (c) Type 1 active black hole mass function parameter sample. (d) Quasar luminosity function parameter sample. The normalisation C is given in erg s⁻¹ M_⊙⁻¹.