\begin{table}%t1
 \caption{\label{t.models}Model assumptions for $\dot m=0.1~\dot m_{\rm C}$.}
\small%\centerline
 {
\begin{tabular}{llcccc}
\hline\hline
Model & Model family$^{a}$                 & $\alpha$             & $d_{\rm max}$     & $d_{\rm disp}$ & $a^*$   \\
\hline
A1    & $\alpha P$                                    & 0.001                & --             & --          & 0.0          \\
A2    & $\alpha P$                                    & 0.01                 & --             & --          & 0.0          \\
A3    & $\alpha P$                                    & 0.1                  & --             & --          & 0.0          \\
A4    & $\alpha P$                                    & 0.2                  & --             & --          & 0.0          \\
A5    & $\alpha P$                                    & 0.5                  & --             & --          & 0.0          \\
A6    & $\alpha P$                                    & 1.0                  & --             & --          & 0.0          \\
AS1   & $\alpha P$                                    & 0.01                 & --             & --          & 0.9          \\
AS2   & $\alpha P$                                    & 0.1                  & --             & --          & 0.9          \\
AS3   & $\alpha P$                                    & 0.5                  & --             & --          & 0.9          \\
B1    & constant diss. rate& 0.01$^{b}$& --             & --          & 0.0          \\
B2    & constant diss. rate& 0.1$^{b}$ & --             & --          & 0.0          \\
B3    & constant diss. rate& 0.5$^{b}$ & --             & --          & 0.0          \\
C1    & $m^{-1/2}$ & 0.01$^{b}$& --             & --          & 0.0          \\
C2    & $m^{-1/2}$ & 0.1$^{b}$ & --             & --          & 0.0          \\
C3    & $m^{-1/2}$& 0.5$^{b}$ & --             & --          & 0.0          \\
D1    & arbitrarily positioned             & 0.1                  & 0.0           & 0.001      & 0.0          \\
D2    & arbitrarily positioned             & 0.1                  & 0.02          & 0.001      & 0.0          \\
D3    & arbitrarily positioned             & 1.0                  & 0.0           & 0.001      & 0.0          \\
D4    & arbitrarily positioned             & 1.0                  & 0.02          & 0.001      & 0.0          \\
D5    & arbitrarily positioned             & 1.0                  & 0.02          & 0.0005     & 0.0          \\
D6   & arbitrarily positioned             & 1.0                  & 0.02          & 0.005      & 0.0          \\
\hline
\end{tabular}}
\medskip
$^{a}$ Details of model assumptions are given in Sect.~\ref{sect.dissprof};
$^{b}$~calculated based on surface density profiles obtained in the $\alpha P$~model with given~$\alpha$ and~$a^*$.
\end{table}