Median models (black lines) for the three observed absorption properties using the simple torus model (top row) and the LD torus (bottom row) applied only to the three absorption data sets. Left: Fraction of N_H in bins of log(N_H). Middle: Absorbed fraction of AGNs as a function of observed L_{X(2–10 keV)}. Right: Absorbed fraction of AGNs as a function of redshift. The error bars on the models represent their 68% confidence interval based on the posterior distribution of the parameters.