The total (full + partial) event rate density in the ﹩\mathrm{log}{M}_{{\rm{BH}}}\times \mathrm{log}{L}_{{\rm{peak}}}﹩ plane for flux-limited samples. Both panels assume that the stellar mass function is proportional to a Salpeter IMF, but in the left panel α_BH = −0.5 and in the right panel α_BH = +0.5. Rates (in arbitrary units) are shown on a linear scale calibrated by the color bar.