Using the python package {\sc galaxies} created by Dr. Rosolowsky, we calculated the GMAs' positions relative to the galaxy's centre. Fig.~\ref{rad_sig} shows these galactocentric radii, $R_\mathrm{gal}$, plotted against the turbulent line widths on a 1pc scale, $\sigma_0$, that we calculated with Eq.~\ref{sigma_o} to normalize $\sigma$ for size. Here, the distinction between nuclear and disc GMA populations is clear with the cut off at 1kpc from the centre.   

\begin{equation}
\sigma_0 = \frac{\sigma}{\sqrt{\frac{R}{1\ \mathrm{pc}}}}.
\label{sigma_o}
\end{equation}