\begin{table}%t2 \caption{\label{submm_counts}Parameters for the $850~\mu$m differential number counts.} \par \small%\centerline { \begin{tabular}{cccccc} \hline\hline \noalign{\smallskip} Name & $S_{*}$ (mJy) & $n_{0,*}^{(4)}$ & $\alpha$ & $\beta$ \\ \noalign{\smallskip} \hline \noalign{\smallskip} DB$^{(1)}$ & $\rm 9.6^{+0.3}_{-2.12}$ & $658\pm48$ & $\rm 2.12^{+0.14}_{-0.08}$ & $\rm 6.22^{+0.51}_{-0.34}$ \\ SB$^{(2)}$ & $4.30\pm0.08$ & $1039\pm69$ & $-2.62\pm0.10$ & $-$ \\ SM$^{(3)}$ & 4.22 & 970 & --2.52 & $-$ \\ \hline \end{tabular}} \medskip $^{(1)}$ best fit double power-law function, Eq.~(\ref{eqn:dpl}); $^{(2)}$~best fit Schechter function, Eq.~(\ref{eqn:schechter}); $^{(3)}$~shallowest Schechter function consistent with the data; $^{(4)}$~expressed in~deg$^{-2}$ for~DB and in~deg$^{-2}$~mJy$^{-1}$ for SB and~SM. \end{table}