observationally motivated model that connects the evolution of AGNs and their host galaxies at $0.2<z<1.0$. We start with the observed stellar mass function of galaxies and populate the galaxies with AGNs using a model for the probability of hosting an AGN as a function of specific accretion rate. Our model is based on measurements from @Aird12 at low-to-moderate accretion rates. We extend the model to higher accretion rates using a number of well-motivated assumptions. We thus predict the overall AGN luminosity function, which we then compare with the observed X-ray luminosity function of AGNs. This comparison allows us to test and refine our model, providing important insights into the nature of the AGN population and the physical underpinnings of the AGN luminosity function. We describe our observational datasets in Section \[sec:data\] and use these to construct our model in Section \[sec:model\]. Section \[sec:discuss\] discusses our results and we state our overall conclusions in Section \[sec:conclusions\].

Observational Datasets {#sec:data}
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The galaxy stellar mass function
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To track the overall galaxy population we adopt recent measurements of the galaxy stellar mass function (SMF) from @Moustakas13. The SMF was measured using the PRIsm MUlti-object Survey (PRIMUS), a 9.1 deg$^2$ low-resolution spectroscopic redshift 