\begin{table}%t2
\caption{Adopted GDCE model parameters. For a short description
of the entries, see
Table~\ref{tab:description_of_GDCE_model_parameters}; details can
be found in the text.\label{tab:GDCE_model_parameters}} 
%\centerline
$$
{\begin{tabular}{ c c c c c }
\hline \hline
 & \multicolumn{4}{c}{$T_{{\rm G}}$}\\
\cline{2-5}Parameter & 6~Gyr & 9~Gyr & 12~Gyr & 15~Gyr\\
\hline
$k$ & \multicolumn{4}{l}{\ {-----------------}\ \ 2\ \ {-------------------}}\\
$\Delta$ (Gyr) & \multicolumn{4}{l}
{{-----------------}\ \ 1.1\ \ {------------------}}\\
$\omega$ & 0.746 & 0.488 & 0.362 & 0.285\\
$u_0$ & 2.040 & 1.500 & 1.250 & 1.110\\
$u_1$ & \multicolumn{4}{l}
{{----------------}\ \ 0.140\ \ {----------------}}\\
$u_2$ & 1.880 & 1.845 & 1.824 & 1.796\\
$u_{T_{{\rm G}}}$ & 4.476 & 4.392 & 4.344 & 4.275\\
$j$ & 2.605 & 2.586 & 2.571 & 2.562\\
$\Gamma$ & 0.301 & 0.251 & 0.217 & 0.199\\
$f_{1~{\rm Fe}}$ & \multicolumn{4}{l}
{{----------------}\ \ 0.240\ \ {----------------}}\\
$f_{2~{\rm Fe}}$ & \multicolumn{4}{l}
{{----------------}\ \ 0.467\ \ {----------------}}\\
$f_{{\rm total~Eu}}$ & 0.630 & 0.670 & 0.710 & 0.750\\
$f_{1~{\rm Eu}}$ & 0.611 & 0.650 & 0.689 & 0.728\\
$f_{2~{\rm Eu}}$ & 0.019 & 0.020 & 0.021 & 0.022\\
$f_{1~{\rm Th}}$ & 0.740 & 0.905 & 1.186 & 1.425\\
$\chi$ & 1.175 & 1.350 & 1.670 & 1.900\\
\hline
\end{tabular}}
$$
\smallskip
Observations: = $u_{T_{{\rm G}}}=\omega~T_{{\rm G}}$;
$f_{1~{\rm Eu}}=0.97~f_{{\rm total~Eu}}$;
 $f_{2~{\rm Eu}}=0.03~f_{{\rm total~Eu}}$;
$f_{1~{\rm Th}}=\chi~f_{{\rm total~Eu}}$.
\end{table}