\begin{table}%t3
\caption{\label{tab:pdfs_coldens}Same as Table~\ref{tab:pdfs_vol}, but for the PDFs of the column density~$\Sigma$ shown in Fig.~\ref{fig:solcomppdfcoldens}.}
%\centering
\par
\begin{tabular}{lccc}
\hline
\hline\noalign{\smallskip}
~ & ~ & Solenoidal forcing & Compressive forcing\\
\hline
Standardised Moments & $\langle \Sigma \rangle$      & $\phantom{-}1.00\pm0.00$ & $\phantom{-}1.00\pm0.00$\\
of $\Sigma$ & $\sigma_\Sigma$ & $\phantom{-}0.47\pm0.05$ & $\phantom{-}1.74\pm0.43$\\
~ & $\mathcal{S}_\Sigma$ & $\phantom{-}1.38\pm0.38$ & $\phantom{-}4.57\pm1.44$\\
~ & $\mathcal{K}_\Sigma$ & $\phantom{-}6.32\pm2.20$ & $\phantom{-}36.8\pm24.3$\\
\hline
Standardised Moments & $\langle \eta \rangle$      & $-0.10\pm0.02$ & $-1.00\pm0.33$\\
of $\eta=\ln\left(\Sigma/\langle \Sigma \rangle \right)$ & $\sigma_\eta$ & $\phantom{-}0.46\pm0.06$ & $\phantom{-}1.51\pm0.28$\\
~ & $\mathcal{S}_\eta$ & $-0.04\pm0.30$ & $-0.17\pm0.29$\\
~ & $\mathcal{K}_\eta$ & $\phantom{-}2.97\pm0.40$ & $\phantom{-}2.69\pm0.45$\\
\hline
Skewed Log-normal Approximation & $\xi$    & $\phantom{-}0.180\pm0.088$ & $\phantom{-}0.717\pm0.102$\\
using equation~(\ref{eq:skew-log-normal}) & $\omega$ & $\phantom{-}0.539\pm0.058$ & $\phantom{-}2.392\pm0.160$\\
~ & $\alpha$ & $-0.878\pm0.342$ & $-2.371\pm0.300$\\
\hline
4th Order Approximation & $a_0$ & $-0.1524\pm0.0451$ & $-1.4547\pm0.0532$\\
(including skewness and kurtosis) & $a_1$ & $-0.3900\pm0.1080$ & $-0.2902\pm0.0417$\\
using equation~(\ref{eq:skew-kurt-log-normal}) & $a_2$ & $-2.4643\pm0.1994$ & $-0.2669\pm0.0259$\\
~ & $a_3$ & $-0.1748\pm0.1469$ & $-0.0370\pm0.0080$\\
~ & $a_4$ & $\phantom{-}0.0204\pm0.1239$ & $-0.0035\pm0.0024$\\
\hline
\end{tabular}
\vspace*{-2mm}\end{table}