Reconstructed AGN distribution functions at three representative redshift derived from fitting the observed AGN luminosity function to a redshift evolution model for the BHMF and ERDF. For the BHMF a mass dependent density evolution model is used, and no evolution in the ERDF is assumed. Left panel: best fit active black hole mass function. Middle panel: Eddington ratio distribution function. The shape has been fixed, the normalisation is determined by the space density of the black hole mass function. Left panel: AGN luminosity function. The red lines show the type 1 AGN luminosity functions from Bongiorno et al. (2007), the black lines are our best fit to them.