\begin{table}%t4
\caption{\label{arcs_submm_all}Predicted number of submm ($850~\mu$m) arcs produced by SMGs
for an all-sky survey, using all the synthetic cluster population to compute the optical depths (see Fig.~\ref{fig:arcCounts}).}
\small%\centerline
 {
\begin{tabular}{c|cc|cc|cc|cc}
\hline\hline
&&&&&&&& \\[-8pt]
$B_{850~\mu{\rm m}}^{~(1)}$    & \multicolumn{2}{c|}{$\rm 5~mJy~arcsec^{-2}$} & \multicolumn{2}{c|}{$\rm 1~mJy~arcsec^{-2}$} & \multicolumn{2}{c|}{$\rm 0.5~mJy~arcsec^{-2}$} & \multicolumn{2}{c}{$\rm 0.1~mJy~arcsec^{-2}$} \\
$d_{0}^{~(2)}$       &  $7.5$ & $10$        & $7.5$ & $10$  & $7.5$ & $10$  & $7.5$ & $10$ \\
&&&&&&&& \\[-8pt]
\hline 
&&&&&&&& \\[-8pt]
SPZ DB$^{~(3)}$ &575  &250  &3792  &1650  &8275   &3600  &50~767  &22~075  \\
PHZ DB$^{~(3)}$ &550  &233  &3575  &1533  &7800   &3342  &47~892  &20~517  \\
CHM DB$^{~(3)}$ &1142 &517  &7425  &3325  &16~200  &7267  &99~458  &44~592  \\
\hline
&&&&&&&& \\[-8pt]
SPZ SM$^{~(3)}$ &542   &233  & 2208 &958   &3567  &1550  &9658  &4200  \\
PHZ SM$^{~(3)}$ &508   &217  & 2083 &892   &3367  &1442  &9117  &3900  \\
CHM SM$^{~(3)}$ &1058  &475  & 4317 &1933  &6992  &3133  &1058  &475  \\
\hline
\end{tabular}}
\medskip
$^{(1)}$ Surface brightness limit used to determine the number of arcs;
$^{(2)}$~arc length-to-width ratio thresholds;
$^{(3)}$~redshift distribution and number count function, as introduced in Figs.~\ref{fig:zd} and~\ref{fig:cc}.
\end{table}