\begin{table}%t1
\caption{\label{tab:cluster_parameters}Averaged initial parameters of the two families of cluster models.}
%\centerline
 {\small
\begin{tabular}{ccccccccccccc}
\hline  \hline
Family of models  &  \multicolumn{4}{c}{Density-scaled}  &  \multicolumn{4}{c}{Size-scaled} &  \multicolumn{3}{c}{} \\
      \hline
$N$ & model & $R$  & $\rho_{{\rm TC}}$ & $\sigma_{{\rm 3D}}$
      & model & $R$  & $\rho_{{\rm TC}}$ & $\sigma_{{\rm 3D}}$ 
& $m_{{\rm max}}^{{\rm med}}$ & $m_{{\rm max}}^{{\rm sort}}$ & $m_{{\rm max}}^{{\rm obs}}$  \\
      &       & [pc] & [$10^3$~pc$^{-3}$]  & [\kms]
      &       & [pc] & [$10^3$~pc$^{-3}$]  & [\kms]             
& [\Msun]  & [\Msun] & [\Msun]  \\
\hline
 1000  &  D0  &   2.50  &   1.3  &  1.15  &  S0  &   0.63  &   4.8  &  2.42  &   36  &   32  &  $25 \pm 15$  \\
 2000  &  D1  &   2.50  &   2.7  &  1.64  &  S1  &   1.25  &   5.1  &  2.37  &   52  &   45  &  $25 \pm 15$  \\
 4000  &  D2  &   2.50  &   5.3  &  2.26  &  S2  &   2.50  &   5.3  &  2.26  &   79  &   63  &  $55 \pm 25$  \\
 8000  &  D3  &   2.50  &   10.5  &  3.11  &  S3  &   5.00  &   5.3  &  2.13  &   94  &   80  &  $75 \pm 25$  \\
16~000  &  D4  &   2.50  &   21.1  &  4.34  &  S4  &   10.00  &   5.3  &  2.11  &   125  &   112  &  $95 \pm 35$  \\
32~000  &  D5  &   2.50  &   42.1  &  6.04  &  S5  &   20.00  &   5.2  &  2.03  &   137  &   126  &  $100\pm 35$  \\
\hline
\end{tabular}}
\medskip
{Note: the first column contains the number of stars, $N$, the next eight columns contain the designation, the cluster size, $R$, the number density
in a sphere of a radius of 0.3~pc, $\rho_{{\rm TC}}$ (equivalent to the Trapezium Cluster in the ONC, see Sect.~\ref{sec:observations_onc}), and
the three-dimensional velocity dispersion, $\sigma_{{\rm 3D}}$, for the density-scaled and size-scaled models, respectively. The last three
columns denote the median maximum stellar mass in each simulation, $m_{{\rm max}}^{{\rm med}}$, the median maximum stellar mass for sorted   sampling, $m_{{\rm max}}^{{\rm sort}}$, and estimates from observational data, $m_{{\rm max}}^{{\rm obs}}$, both taken from Fig.~7 of \citet{2006MNRAS.365.1333W}.}
\end{table}