\begin{table}%T2
\par
\caption{\label{t:pardep}The effect on the integrated model SiO~intensities (in percent),
due to changes in various parameters.  Three model stars with mass
loss rate and gas expansion velocity characteristics typical for our
samples are used.  They lie at a distance of~250~pc, and have
luminosities of~4000~$L_{\odot}$ (the model stars with mass-loss
rates of~10$^{-7}$ and~10$^{-6}~M_{\odot}$~yr$^{-1}$) and~8000~$L_{\odot}$ (the
model star with a mass-loss rate of~10$^{-5}~M_{\odot}$~yr$^{-1}$), and blackbody
temperatures of~2500~K.  The nominal CSE~parameters are $h=0.2$ (for
the lowest mass-loss rate model star) and~$h=0.5$ (for the other two
model stars), $r_{\rm i}=2\times 10^{14}$~cm, $v_{\rm
t}=0.5$~km~s$^{-1}$, and $f_{\rm SiO}=5\times10^{-6}$. The size of the 
SiO~envelope, $r_{\rm e}$, is given by Eq.~(\ref{e:re}) for the given mass-loss rate. The
SiO~$J=2$$\rightarrow$1, $J=3$$\rightarrow$2,
$J=5$$\rightarrow$4, and~$J=6$$\rightarrow$5 lines are
observed with beam widths of~57$\arcsec$, 38$\arcsec$,
23$\arcsec$, and~19$\arcsec$, respectively (appropriate for a 15~m telescope).
The model integrated line intensities, $I$ in~K~km~s$^{-1}$, are given for the nominal
parameters. For comparison, also the integrated CO~line intensities for the model stars are
given [for a 15~m telescope; 45$\arcsec$ ($J=1$$\rightarrow$0;
$I=0.14$, 3.8, and~45~K~km~s$^{-1}$ for~10$^{-7}$,10$^{-6}$, and~10$^{-5}~M_{\odot}$~yr$^{-1}$, respectively), 23$\arcsec$
($J=2$$\rightarrow$1), 15$\arcsec$ ($J=3$$\rightarrow$2), 9$\arcsec$
($J=5$$\rightarrow$4), 7$\farcs$5 ($J=6$$\rightarrow$5)].}
%\centering
\par
\begin{tabular}{crrrrrrrrrrrrrrr}
\hline\hline
\noalign{\smallskip}
   & &
\multicolumn{4}{c}{10$^{-7}~M_{\odot}$~yr$^{-1}$,
7~km~s$^{-1}$} & &
\multicolumn{4}{c}{10$^{-6}~M_{\odot}$~yr$^{-1}$,
10~km~s$^{-1}$} & &
\multicolumn{4}{c}{10$^{-5}~M_{\odot}$~yr$^{-1}$,
15~km~s$^{-1}$}
\\
\cline{3-6}
\cline{8-11}
\cline{13-16}
\multicolumn{1}{c}{Par.} &
\multicolumn{1}{c}{Change} &
\multicolumn{1}{r}{2$-$1} &
\multicolumn{1}{r}{3$-$2} &
\multicolumn{1}{r}{5$-$4} &
\multicolumn{1}{r}{6$-$5} &
&
\multicolumn{1}{r}{2$-$1} &
\multicolumn{1}{r}{3$-$2} &
\multicolumn{1}{r}{5$-$4} &
\multicolumn{1}{r}{6$-$5} &
&
\multicolumn{1}{r}{2$-$1} &
\multicolumn{1}{r}{3$-$2} &
\multicolumn{1}{r}{5$-$4} &
\multicolumn{1}{r}{6$-$5}
\\
\noalign{\smallskip}
\hline
\noalign{\smallskip}
$I_{\rm SiO}$ &  &0.11&0.30&0.71&0.90&   &1.3&2.7&5.5&6.8&  &10&20&39&48\\
\hline
\noalign{\smallskip}
$I_{\rm CO}$ &   &1.6&3.9&6.0&6.4&   &17&31&46&50&   &120&184&252&271\\
\hline
\noalign{\smallskip}
$f_{\rm SiO}$       & $-$50\%    & $-$40&$-$37&$-$36&$-$36&   &$-$33&$-$30&$-$31&$-$32&   &$-$27&$-$24&$-$26&$-$27\\
                 & $+$100\%  & $+$70&$+$56&$+$44&$+$44&   &$+$46&$+$39&$+$40&$+$42&   &$+$29&$+$27&$+$36&$+$37\\
$L$             &  $-$50\%   & 0&$-$7&$-$14&$-$14&   &$-$8&$-$5&$-$4&$-$4&    &$-$10&$-$2&0&0\\
                &  $+$100\%  & 0&$+$11&$+$19&$+$21&   &$+$13&$+$14&$+$10&$+$9&   &$+$19&$+$8&$+$4&$+$3\\
$T_{\rm  kin}$&  $-$33\%   & 0&0&$-$7&$-$8&  &$-$5&$-$9&$-$16&$-$19&  &$-$16&$-$21&$-$27&$-$31\\
                 &  $+$50\%   & 0&$+$4&$-$12&$+$7&  &$+$8&$+$11&$+$16&$+$18&  &$+$20&$+$24&$+$32&$+$35\\
$r_{\rm  e}$ & $-$50\%    & $-$60&$-$56&$-$39&$-$33&   &$-$48&$-$38&$-$29&$-$25&   &$-$35&$-$33&$-$26&$-$22\\
                 & $+$100\%  & $+$110&$+$70&$+$32&$+$24&   &$+$53&$+$41&$+$22&$+$14&   &$+$41&$+$39&$+$18&$+$9\\
$r_{\rm  i}$ & $-$50\%   & $+$10&$+$4&$+$2&$+$3&  &$+$2&$+$2&$+$1&0&   &$+$1&$-$1&$-$1&0\\
	        & $+$100\%  & 0&$-$4&$-$8&$-$11&   &$-$1&0&$-$3&$-$4&    &$+$1&$+$1&$-$1&$-$3\\
$v_{\rm  t}$ & $-$50\%   & 0&0&$-$2&$-$1&   &$+$1&$+$1&$-$1&$+$2&    &$-$6&$-$6&$-$2&$-$2\\
	        & $+$100\%  & 0&$+$4&$+$2&$+$3&  &0&$+$3&$+$3&$+$2&    &$+$3&$+$3&$+$1&0\\
\hline
\end{tabular}
\end{table}