  CUORE is a bolometric experiment that will search for the Neutrinoless Double
Beta decay of $^{130}$Te. CUORE-0 is a single CUORE-like tower that was run
between 2013 and 2015 to test the performance of the CUORE experiment. In this
proceeding we present the results of the model developed to disentangle and
quantify the background sources that combine to form the CUORE-0 energy
spectrum. We use detailed Geant4-based simulations and a Bayesian fitting
algorithm to reconstruct the experimental data and evaluate the activities of
the background sources. A direct outcome of this analysis is the measurement of
the $^{130}$Te $2\nu\beta\beta$ decay half-life, of which we provide a
preliminary evaluation.
