Merger fraction as a function of AGN fraction and BHAR. Top: f_merger as a function of f_AGN. The f_AGN bin width is 0.15 and f_merger is plotted at the centre of each bin. Errors are calculated through binomial statistics. Qualitatively similar trends in f_merger vs f_AGN are seen for all three AGN types, namely a mildly increasing f_merger at f_AGN < 0.8, followed by a rapid increase to f_merger ∼80–100% when the AGN is very dominant. Bottom: f_merger as a function of BHAR and the equivalent AGN bolometric luminosity L_disc.