The quasar population density as a result of the formation rate and the evolutionary paths. II - Adaption to the observation

The continuity equation of Cavaliere et al. (1971) generalized to age-dependent luminosity evolution (Boller and Liebscher, 1989) is used to calculate quasar luminosity functions. For some combinations of source functions S(L, t) and evolutionary paths M(L) the resulting N - m relations and the X-ray background are compared with actual observations. Certain models can be excluded, but it is not possible to decide what the actual source function and the actual evolutionary path are.