/[MITgcm]/manual/s_ecco/text/ecco_costfunction.tex
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revision 1.4 by edhill, Sat Oct 16 03:40:19 2004 UTC revision 1.7 by edhill, Sat Apr 8 01:50:50 2006 UTC
# Line 4  Line 4 
4  <!-- CMIREDIR:ecco_cost: -->  <!-- CMIREDIR:ecco_cost: -->
5  \end{rawhtml}  \end{rawhtml}
6    
7    Author: Patrick Heimbach
8    
9  The current ECCO state estimation covers an $nYears = 11$ year  The current ECCO state estimation covers an $nYears = 11$ year
10  model trajectory.  model trajectory.
11  A variety of data sets enter a least squares cost function,  A variety of data sets enter a least squares cost function,
# Line 269  field & file name & deccription & unit \ Line 271  field & file name & deccription & unit \
271  \hline  \hline
272  ~&~&~&~\\  ~&~&~&~\\
273  {\it tbar} & {\tt tbarfile} & monthly model mean pot. temperature &  {\it tbar} & {\tt tbarfile} & monthly model mean pot. temperature &
274  [$^{\circ}$C] \\  [$^{\circ}\mathrm{C}$] \\
275  {\it sbar} & {\tt sbarfile} & monthly model mean salinity &  {\it sbar} & {\tt sbarfile} & monthly model mean salinity &
276  [ppt] \\  [ppt] \\
277  {\it tdat} & {\tt tdatfile} & monthly mean Levitus pot. temperature &  {\it tdat} & {\tt tdatfile} & monthly mean Levitus pot. temperature &
278  [$^{\circ}$C] \\  [$^{\circ}\mathrm{C}$] \\
279  {\it sdat} & {\tt sdatfile} & monthly mean Levitus salinity &  {\it sdat} & {\tt sdatfile} & monthly mean Levitus salinity &
280  [ppt] \\  [ppt] \\
281  {\it ctdtobs}  & {\tt ctdtfile} & monthly WOCE CTD pot. temperature &  {\it ctdtobs}  & {\tt ctdtfile} & monthly WOCE CTD pot. temperature &
282  [$^{\circ}$C] \\  [$^{\circ}\mathrm{C}$] \\
283  {\it ctdsobs}  & {\tt ctdsfile} & monthly WOCE CTD salinity &  {\it ctdsobs}  & {\tt ctdsfile} & monthly WOCE CTD salinity &
284  [ppt] \\  [ppt] \\
285  {\it xbtobs} & {\tt xbtfile} & monthly XBT in-situ(!) temperature &  {\it xbtobs} & {\tt xbtfile} & monthly XBT in-situ(!) temperature &
286  [$^{\circ}$C] \\  [$^{\circ}\mathrm{C}$] \\
287  {\it sstdat}  & {\tt sstdatfile} & monthly Reynolds pot. SST &  {\it sstdat}  & {\tt sstdatfile} & monthly Reynolds pot. SST &
288  [$^{\circ}$C] \\  [$^{\circ}\mathrm{C}$] \\
289  {\it sssdat}  & {\tt sssdatfile} & monthly Reynolds SSS &  {\it sssdat}  & {\tt sssdatfile} & monthly Reynolds SSS &
290  [ppt] \\  [ppt] \\
291  {\it argotobs}  & {\tt argotfile} & monthly ARGO in-situ(!) temperature &  {\it argotobs}  & {\tt argotfile} & monthly ARGO in-situ(!) temperature &
292  [$^{\circ}$C] \\  [$^{\circ}\mathrm{C}$] \\
293  {\it argosobs}  & {\tt argosfile} & monthly ARGO salinity &  {\it argosobs}  & {\tt argosfile} & monthly ARGO salinity &
294  [ppt] \\  [ppt] \\
295  {\it wti, wsi} & {\tt data\_errfile} & vert. stdev. profile for $T$, $S$ &  {\it wti, wsi} & {\tt data\_errfile} & vert. stdev. profile for $T$, $S$ &
296  ~ \\  ~ \\
297  {\it wtvar} & {\tt temperrfile} & spatially varying stdev. & [$^{\circ}$C] \\  {\it wtvar} & {\tt temperrfile} & spatially varying stdev. & [$^{\circ}\mathrm{C}$] \\
298  {\it wsvar} & {\tt salterrfile} & spatially varying stdev. & [ppt] \\  {\it wsvar} & {\tt salterrfile} & spatially varying stdev. & [ppt] \\
299  ~&~&~&~\\  ~&~&~&~\\
300  \hline \hline  \hline \hline
# Line 331  cost\_ctd\_s(i,j,k) & = \, Line 333  cost\_ctd\_s(i,j,k) & = \,
333  \begin{equation}  \begin{equation}
334  \begin{split}  \begin{split}
335  cost\_argo\_t(i,j,k) & = \,  cost\_argo\_t(i,j,k) & = \,
336  \left[ \, \frac{fac \cdot ratio}{wti^2 + wvar^2} \sum_{\tau=1}^{nMonsRec}  \left[ \, \frac{fac \cdot ratio}{wti^2 + wtvar^2} \sum_{\tau=1}^{nMonsRec}
337  \left\{ Tbar(\tau) \, - \, T2\theta[argoTobs(\tau)] \right\}^2 \, \right](i,j,k)  \left\{ Tbar(\tau) \, - \, T2\theta[argoTobs(\tau)] \right\}^2 \, \right](i,j,k)
338   \\   \\
339  cost\_argo\_s(i,j,k) & = \,  cost\_argo\_s(i,j,k) & = \,
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