\begin{table}%t1
%\centering
\par
\caption {\label{surveyparam}Summary of the parameters included in our
simulations. For each entry, we give the range of values explored and
reference to the relevant publication. }
%\centerline
 {\begin{tabular}{llllll}
\hline\hline
\noalign{\smallskip}
Parameter & Explored range &&&& Reference\\
\hline
LF (a) & ($\langle z\rangle=6.0$)   & $\alpha=1.6$,   & $\phi^*=0.4\times 10^{-3}$~Mpc$^{-3}$, & $M^*=-21.07$ & \citet{Beckwith06}  \\
LF (b) & ($\langle z\rangle=5.9$)   & $\alpha=1.74$, & $\phi^*=1.1\ 10^{-3}$ Mpc$^{-3}$, & $M^*=-20.24$ & \citet{Bouwens08}\\
LF (c) & ($3.8<z<7.4$)& $\alpha=1.74$, & $\phi^*=1.1\times 10^{-3}$ Mpc$^{-3}$, & $M^*=-21.02+0.36$\ $(z-3.8)$ & \citet{Bouwens08}\\
Source redshift& $ z_{\rm s}=6{-}12$ &&&& \\
Lensing cluster & Abell 1689  &$z_{\rm c0}=0.178$, &$\sigma_0=1320$~km~s$^{-1}$, & $N_{\rm sub}=266$& \citet{Limousin}\\
                             & Abell 1835  &$z_{\rm cl0}=0.25$,   &$\sigma_0=1210$~km~s$^{-1}$, & $N_{\rm sub}=90$& Smith (2005) Richard (2009) \\
                             & AC114         &$z_{\rm cl0}=0.31$,   &$\sigma_0=1080$~km~s$^{-1}$, & $N_{\rm sub}=28$& \citet{Natarajan98} \\
Cluster redshift $z_{\rm c}$ & $0.1{-}0.8$  &&&& \\
Survey strategy & GTC/EMIR &FOV~=~$6\arcmin\times6\arcmin$, &pix: $0.2\arcsec/\rm pixel$, &depth: $\Delta z=1$ & \citet{Garzon}\\
& JWST/NIRCam &FOV~=~$2.2\arcmin \times2.2\arcmin$, &pix: $0.06\arcsec/\rm pixel$, &depth: $\Delta z=1$ & \citet{Rieke} \\
& HST/NICMOS &FOV~=~$0.85\arcmin \times0.85\arcmin$, &pix: $0.2\arcsec/\rm pixel$, &depth: $\Delta z=1$ &  \citet{Thompson} \\
\hline
\end{tabular}}
\par
\tablefoot{LF(a) is the same as in \citet{Steidel99}, but~$\Phi^*$  is a factor of 3
  smaller (see Sect.~\ref{sources}).}
\end{table}