Upper panels: Mean evolution of galaxies in our catalogue selected with stellar mass of M_★ ≃ 10^10.5 M_⊙ (left) and M_★ > 10^11.5 M_⊙ (right) at redshift z = 0 from DECODE’s catalogue. The blue dashed and dotted lines show the host dark matter halo mass assembly history and accretion rate. The orange dash-dotted and dotted lines show the galaxy stellar mass growth and star formation rate, respectively. The red solid and dotted lines show the black hole mass assembly and accretion rate, respectively. The thin red solid lines show the case where we use the JWST Pacucci et al. (2023) relation to seed the SMBHs. The left-hand side y-axis refers to the mass growth values and the right-hand side y-axis refers to the accretion rate values. The horizontal shaded area shows the M_BH − σ_★ quenching threshold with the 0.3 dex dispersion. The vertical black line shows the redshift at which the host halo reached the golden halo mass M_h ∼ 10¹² M_⊙. Lower panels: Fraction of AGNs as a function of redshift for the same galaxy stellar mass bin as in the upper panel.