In Table \ref{table:properties} we summarize the quantitative analysis of the binned mass distributions. In addition to reporting the maximum likelihood parameters of the functional forms, we also report the probability of favoring the truncated power law distribution over the pure power law form. In all cases, the truncated power law form is favored by the data over both the pure power law and the Schechter function, though the margin for this is not large in the outer bins. For the truncated power law, all bins find an optimal index bounded near the maximum value of \(\beta \lesssim -1\). This indicates that the data do not provide a good constraint on the overall mass distribution as is evident from the lack of linear feature in the CCDF plots.

The truncation mass for the truncated power law, the typical mass \(\langle M \rangle_5\), and the index of the pure power law all decrease with galactcocentric radius, with clouds in the center of M83 having higher typical masses and a shallower mass distribution. While source confusion may affect nuclear sources, the clouds at \(R_{\mathrm{g}}>0.5~\mathrm{kpc}\) should be well resolved and the results will be comparable to other studies. Even in this region, we see good evidence for a characteristic mass for molecular clouds evolving across the face of the galaxy. This changing mass behavior is mirrored in the cutoff masses seen in the massive stellar clusters. Work on cluster mass distributions has conjectured a link between characteristic cluster masses the mass distributions of molecular clouds. Higher mass molecular clouds will provide a more complete sampling of the initial cluster mass function, reaching higher masses.

The characteristic cluster masses \(M_{c,\mathrm{cluster}}\) vary by a factor of 20 whereas the characteristic cloud masses only change by a factor 2. This likely arises from better sampling of the cluster populations and thus tighter constraints on the mass distributions. There is good correspondence between the maximum cluster mass and the maximum cloud mass, with both decreasing by a factor of \(\sim 5\) with radius. The maximum cluster mass is about 1-2% of the maximum cloud mass. No data are reported in the clusters for the nuclear region of the galaxy or at radii larger than 4.5 kpc. However, if the correspondence holds between cluster and cloud masses, we would predict the most massive cluster in M83 is found in the inner 0.45 kpc with a mass of order \(4\times 10^5~M_{\odot}\).