/[MITgcm]/manual/s_phys_pkgs/diagnostics.tex

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-revision 1.6 by edhill,
Sat Oct 16 03:40:17 2004 UTC
+revision 1.8 by molod,
Thu Oct 28 22:41:16 2004 UTC
 Line 6
  \subsection{Introduction}
+ \noindent
  This section of the documentation describes the Diagnostics package available within
- the GCM.  In addition to a description of how to set and extract diagnostic quantities,
+ the GCM.  A large selection of model diagnostics is available for output.
- this document also provides a comprehensive list of all available diagnostic quantities
+ In addition to the diagnostic quantities pre-defined in the GCM, there exists
- and a short description of how they are computed.  It should be noted that this document
+ the option, in any experiment, to define a new diagnostic quantity and include it
- is not intended to be a complete documentation of the various packages used in the GCM,
+ as part of the diagnostic output with the addition of a single subroutine call in the
- and the reader should refer to original publications and the appropriate sections of this
+ routine where the field is computed. As a matter of philosophy, no diagnostic is enabled
- documentation for further insight.
+ as default, thus each user must specify the exact diagnostic information required for an
+ experiment.  This is accomplished by enabling the specific diagnostic of interest cataloged
+ in the Diagnostic Menu (see Section \ref{sec:diagnostics:menu}). Instructions for enabling
+ diagnostic output and defining new diagnostic quantities are found in Section
+ \ref{sec:diagnostics:usersguide} of this document.
+ \noindent
+ The Diagnostic Menu is a hard-wired enumeration of diagnostic quantities available within
+ the GCM. Once a diagnostic is enabled, the GCM will continually increment an array
+ specifically allocated for that diagnostic whenever the appropriate quantity is computed.
+ A counter is defined which records how many times each diagnostic quantity has been
+ incremented.  Several special diagnostics are included in the menu. Quantities refered to
+ as ``Counter Diagnostics'', are defined for selected diagnostics which record the
+ frequency at which a diagnostic is incremented separately for each model grid location.
+ Quantitied refered to as ``User Diagnostics'' are included in the menu to facilitate
+ defining new diagnostics for a particular experiment.
  \subsection{Equations}
  Not relevant.
-Line 20 
 Not relevant.
+Line 36 
 Not relevant.
  \subsection{Key Subroutines and Parameters}
  \label{sec:diagnostics:diagover}
- A large selection of model diagnostics is available in the GCM.  At the time of
+ \noindent
- this writing there are 280 different diagnostic quantities which can be enabled for an
+ The diagnostics are computed at various times and places within the GCM. Because the
- experiment.  As a matter of philosophy, no diagnostic is enabled as default, thus each
+ MIT GCM may employ a staggered grid, diagnostics may be computed at grid box centers,
- user must specify the exact diagnostic information required for an experiment.  This
+ corners, or edges, and at the middle or edge in the vertical. Some diagnostics are scalars,
- is accomplished by enabling the specific diagnostic of interest cataloged in the
+ while others are components of vectors. An internal array is defined which contains
- Diagnostic Menu (see Section \ref{sec:diagnostics:menu}).
+ information concerning various grid attributes of each diagnostic. The GDIAG
- The Diagnostic Menu is a hard-wired enumeration of diagnostic quantities available within
+ array (in common block \\diagnostics in file diagnostics.h) is internally defined as a
- the GCM. Diagnostics are internally referred to by their associated number in the Diagnostic
+ character*8 variable, and is equivalenced to a character*1 "parse" array in output in
- Menu.  Once a diagnostic is enabled, the GCM will continually increment an array
+ order to extract the grid-attribute information.  The GDIAG array is described in
- specifically allocated for that diagnostic whenever the associated process for the
+ Table \ref{tab:diagnostics:gdiag.tabl}.
- diagnostic is computed.  Separate arrays are used both for the diagnostic quantity and
- its diagnostic counter which records how many times each diagnostic quantity has been
- computed.  In addition special diagnostics, called ``Counter Diagnostics'', records the
- frequency of diagnostic updates separately for each model grid location.
- The diagnostics are computed at various times and places within the GCM.
- Some diagnostics are computed on the A-grid (such as those within the fizhi routines),
- while others are computed on the C-grid (those computed during the dynamics time-stepping).
- Some diagnostics are scalars, while others are vectors.  Each of these possibilities requires
- separate tasks for A-grid to C-grid transformations and coordinate transformations.  Due
- to this complexity, and since the specific diagnostics enabled are User determined at the
- time of the run,
- a diagnostic parameter has been developed and implemented into the GCM, defined as GDIAG,
- which contains information concerning various grid attributes of each diagnostic.  The GDIAG
- array is internally defined as a character*8 variable, and is equivalenced to
- a character*1 "parse" array in output in order to extract the grid-attribute information.
- The GDIAG array is described in Table \ref{tab:diagnostics:gdiag.tabl}.
  \begin{table}
  \caption{Diagnostic Parsing Array}
-Line 77 
 Array & Value & Description \\
+Line 76 
 Array & Value & Description \\
  \end{center}
  \end{table}
+ \noindent
  As an example, consider a diagnostic whose associated GDIAG parameter is equal
  to ``UU  002''.  From GDIAG we can determine that this diagnostic is a
  U-vector component located at the C-grid U-point.
  Its corresponding V-component diagnostic is located in Diagnostic \# 002.
+ \noindent
  In this way, each Diagnostic in the model has its attributes (ie. vector or scalar,
- A-Grid or C-grid, etc.) defined internally.  The Output routines
+ C-grid location, etc.) defined internally.  The Output routines use this information
- use this information in order to determine
+ in order to determine what type of transformations need to be performed.  Any
- what type of transformations need to be performed.  Thus, all Diagnostic
+ interpolations are done at the time of output rather than during each model step.
- interpolations are done at the time of output rather than during each model dynamic step.
+ In this way the User has flexibility in determining the type of gridded data which
- In this way the User now has more flexibility
+ is output.
- in determining the type of gridded data which is output.
+ \noindent
  There are several utilities within the GCM available to users to enable, disable,
  clear, write and retrieve model diagnostics, and may be called from any routine.
  The available utilities and the CALL sequences are listed below.
- {\bf fill\_diag}:  This routine will increment
+ \noindent
+ {\bf fill\_diagnostics}:  This routine will increment the specified diagnostic
+ quantity with a field sent through the argument list.
+ \noindent
+ \begin{tabbing}
+ XXXXXXXXX\=XXXXXX\= \kill
+ \>        call fill\_diagnostics (myThid, chardiag, levflg, nlevs, \\
+                 bibjflg, bi, bj, arrayin) \\
+ \\
+ where \>  myThid   \>= Current Process(or) \\
+       \>  chardiag \>= Character *8 expression for diag to fill \\
+       \>  levflg   \>= Integer flag for vertical levels: \\
+       \>           \> 0 indicates multiple levels incremented in qdiag \\
+       \>           \> non-0 (any integer) - WHICH single level to increment. \\
+       \>           \> negative integer - the input data array is single-leveled \\
+       \>           \> positive integer - the input data array is multi-leveled \\
+       \>  nlevs    \>= indicates Number of levels to be filled (1 if levflg <> 0) \\
+       \>           \> positive: fill in "nlevs" levels in the same order as \\
+       \>           \> the input array \\
+       \>           \> negative: fill in -nlevs levels in reverse order. \\
+       \>  bibjflg  \>= Integer flag to indicate instructions for bi bj loop \\
+       \>           \> 0 indicates that the bi-bj loop must be done here \\
+       \>           \> 1 indicates that the bi-bj loop is done OUTSIDE \\
+       \>           \> 2 indicates that the bi-bj loop is done OUTSIDE \\
+       \>           \>    AND that we have been sent a local array \\
+       \>           \> 3 indicates that the bi-bj loop is done OUTSIDE \\
+       \>           \>    AND that we have been sent a local array \\
+       \>           \>    AND that the array has the shadow regions \\
+       \>  bi       \>= X-direction process(or) number - used for bibjflg=1-3 \\
+       \>  bj       \>= Y-direction process(or) number - used for bibjflg=1-3 \\
+       \>  arrayin  \>= Field to increment diagnostics array \\
+ \end{tabbing}
+ \noindent
  {\bf setdiag}:  This subroutine enables a diagnostic from the Diagnostic Menu, meaning
  that space is allocated for the diagnostic and the model routines will increment the
  diagnostic value during execution.  This routine is the underlying interface
  between the user and the desired diagnostic.  The diagnostic is referenced by its diagnostic
  number from the menu, and its calling sequence is given by:
+ \noindent
  \begin{tabbing}
  XXXXXXXXX\=XXXXXX\= \kill
  \>        call setdiag (num) \\
-Line 109 
 XXXXXXXXX\=XXXXXX\= \kill
+Line 150 
 XXXXXXXXX\=XXXXXX\= \kill
  where \>  num   \>= Diagnostic number from menu \\
  \end{tabbing}
+ \noindent
  {\bf getdiag}:  This subroutine retrieves the value of a model diagnostic.  This routine
  is particulary useful when called from a user output routine, although it can be called
  from any routine.  This routine returns the time-averaged value of the diagnostic by
-Line 116 
 dividing the current accumulated diagnos
+Line 158 
 dividing the current accumulated diagnos
  routine does not change the value of the diagnostic itself, that is, it does not replace
  the diagnostic with its time-average.  The calling sequence for this routine is givin by:
+ \noindent
  \begin{tabbing}
  XXXXXXXXX\=XXXXXX\= \kill
  \>        call getdiag (lev,num,qtmp,undef) \\
-Line 126 
 where \>  lev   \>= Model Level at which
+Line 169 
 where \>  lev   \>= Model Level at which
        \>  undef \>= Fill value to be used when diagnostic is undefined \\
  \end{tabbing}
+ \noindent
  {\bf clrdiag}:  This subroutine initializes the values of model diagnostics to zero, and is
  particularly useful when called from user output routines to re-initialize diagnostics
  during the run.  The calling sequence is:
+ \noindent
  \begin{tabbing}
  XXXXXXXXX\=XXXXXX\= \kill
  \>        call clrdiag (num) \\
-Line 137 
 XXXXXXXXX\=XXXXXX\= \kill
+Line 182 
 XXXXXXXXX\=XXXXXX\= \kill
  where \>  num   \>= Diagnostic number from menu \\
  \end{tabbing}
+ \noindent
  {\bf zapdiag}:  This entry into subroutine SETDIAG disables model diagnostics, meaning
  that the diagnostic is no longer available to the user.  The memory previously allocated
  to the diagnostic is released when ZAPDIAG is invoked.  The calling sequence is given by:
+ \noindent
  \begin{tabbing}
  XXXXXXXXX\=XXXXXX\= \kill
  \>        call zapdiag (NUM) \\
-Line 148 
 XXXXXXXXX\=XXXXXX\= \kill
+Line 195 
 XXXXXXXXX\=XXXXXX\= \kill
  where \>  num   \>= Diagnostic number from menu \\
  \end{tabbing}
- {\bf diagsize}:  We end this section with a discussion on the manner in which computer
- memory   is allocated for diagnostics.   All GCM diagnostic quantities are stored in the
+ \subsection{Usage Notes}
- single diagnostic array QDIAG which is located in diagnostics.h, and has the form:
+ \label{sec:diagnostics:usersguide}
+ \noindent
+ We begin this section with a discussion on the manner in which computer
+ memory is allocated for diagnostics. All GCM diagnostic quantities are stored in the
+ single diagnostic array QDIAG which is located in the file \\
+ \filelink{pkg/diagnostics/diagnostics.h}{pkg-diagnostics-diagnostics.h}.
+ and has the form:
  common /diagnostics/ qdiag(1-Olx,sNx+Olx,1-Olx,sNx+Olx,numdiags,Nsx,Nsy)
- where numdiags is an Integer variable which should be
+ \noindent
- set equal to the number of enabled diagnostics, and qdiag is a three-dimensional
+ where numdiags is an Integer variable which should be set equal to the number of
- array.  The first two-dimensions of qdiag correspond to the horizontal dimension
+ enabled diagnostics, and qdiag is a three-dimensional array.  The first two-dimensions
- of a given diagnostic, while the third dimension of qdiag is used to identify
+ of qdiag correspond to the horizontal dimension of a given diagnostic, while the third
- specific diagnostic types.
+ dimension of qdiag is used to identify diagnostic fields and levels combined. In order
- In order to minimize the memory requirement of the model for diagnostics,
+ to minimize the memory requirement of the model for diagnostics, the default GCM
- the default GCM executable is compiled with room for only one horizontal
+ executable is compiled with room for only one horizontal diagnostic array, or with
- diagnostic array, as shown in the above example.
+ numdiags set to 1. In order for the User to enable more than 1 two-dimensional diagnostic,
- In order for the User to enable more than 1 two-dimensional diagnostic,
  the size of the diagnostics common must be expanded to accomodate the desired diagnostics.
  This can be accomplished by manually changing the parameter numdiags in the
- file \filelink{pkg/diagnostics/diagnostics\_SIZE.h}{pkg-diagnostics-diagnostics_SIZE.h}, or by allowing the
+ file \filelink{pkg/diagnostics/diagnostics\_SIZE.h}{pkg-diagnostics-diagnostics_SIZE.h}.
- shell script (???????) to make this
+ numdiags should be set greater than or equal to the sum of all the diagnostics activated
- change based on the choice of diagnostic output made in the namelist.
+ for output each multiplied by the number of levels defined for that diagnostic quantity.
+ This is illustrated in the example below:
- \subsection{Usage Notes}
+ \noindent
- \label{sec:diagnostics:usersguide}
  To use the diagnostics package, other than enabling it in packages.conf
  and turning the usediagnostics flag in data.pkg to .TRUE., a namelist
  must be supplied in the run directory called data.diagnostics. The namelist
-Line 178 
 will activate a user-defined list of dia
+Line 231 
 will activate a user-defined list of dia
  specify the frequency of output, the number of levels, and the name of
  up to 10 separate output files. A sample data.diagnostics namelist file:
- $\#$ Diagnostic Package Choices
+ \noindent
-  $\&$diagnostics\_list
+ $\#$ Diagnostic Package Choices \\
-   frequency(1) = 10, \
+  $\&$diagnostics\_list \\
-    levels(1,1) = 1.,2.,3.,4.,5., \
+   frequency(1) = 10, \ \\
-    fields(1,1) = 'UVEL    ','VVEL    ', \
+    levels(1,1) = 1.,2.,3.,4.,5., \ \\
-    filename(1) = 'diagout1', \
+    fields(1,1) = 'UVEL    ','VVEL    ', \ \\
-   frequency(2) = 100, \
+    filename(1) = 'diagout1', \ \\
-    levels(1,2) = 1.,2.,3.,4.,5., \
+   frequency(2) = 100, \ \\
-    fields(1,2) = 'THETA   ','SALT    ', \
+    levels(1,2) = 1.,2.,3.,4.,5., \ \\
-    filename(2) = 'diagout2', \
+    fields(1,2) = 'THETA   ','SALT    ', \ \\
-  $\&$end \
+    filename(2) = 'diagout2', \ \\
+  $\&$end \ \\
+ \noindent
  In this example, there are two output files that will be generated
  for each tile and for each output time. The first set of output files
- has the prefix diagout1, does time averaging every 10 time steps,
+ has the prefix diagout1, does time averaging every 10 time steps
- for fields which are multiple-level fields the levels output are 1-5,
+ (frequency is 10), they will write fields which are multiple-level
- and the names of diagnostics quantities are UVEL and VVEL.
+ fields and output levels 1-5. The names of diagnostics quantities are
- The second set of output files
+ UVEL and VVEL.  The second set of output files
  has the prefix diagout2, does time averaging every 100 time steps,
- for fields which are multiple-level fields the levels output are 1-5,
+ they include fields which are multiple-level fields, levels output are 1-5,
  and the names of diagnostics quantities are THETA and SALT.
+ \noindent
+ In order to define and include as part of the diagnostic output any field
+ that is desired for a particular experiment, two steps must be taken. The
+ first is to enable the ``User Diagnostic'' in data.diagnostics. This is
+ accomplished by setting one of the fields slots to either UDIAG1 through
+ UDIAG10, for multi-level fields, or SDIAG1 through SDIAG10 for single level
+ fields. These are listed in the diagnostics menu. The second step is to
+ add a call to fill\_diagnostics from the subroutine in which the quantity
+ desired for diagnostic output is computed.
  \newpage
  \subsubsection{GCM Diagnostic Menu}
-Line 311 
 N & NAME & UNITS & LEVELS & DESCRIPTION
+Line 376 
 N & NAME & UNITS & LEVELS & DESCRIPTION
           &\begin{minipage}[t]{3in}
            {Turbulent Flux of Sensible Heat}
           \end{minipage}\\
+ \end{tabular}
+ \newpage
+ \vspace*{\fill}
+ \begin{tabular}{lllll}
+ \hline\hline
+ N & NAME & UNITS & LEVELS & DESCRIPTION \\
+ \hline
+ &\\
 & TQFLUX   &  $Watts/m^2$ &  Nrphys
           &\begin{minipage}[t]{3in}
            {Turbulent Flux of Latent Heat}
-Line 340 
 N & NAME & UNITS & LEVELS & DESCRIPTION
+Line 415 
 N & NAME & UNITS & LEVELS & DESCRIPTION
            {Ground temperature adjustment}
           \end{minipage}\\
- \end{tabular}
- \newpage
- \vspace*{\fill}
- \begin{tabular}{lllll}
- \hline\hline
- N & NAME & UNITS & LEVELS & DESCRIPTION \\
- \hline
- &\\
 & QG        &  $g/kg$ &  1
           &\begin{minipage}[t]{3in}
            {Ground specific humidity}
-Line 358 
 N & NAME & UNITS & LEVELS & DESCRIPTION
+Line 423 
 N & NAME & UNITS & LEVELS & DESCRIPTION
           &\begin{minipage}[t]{3in}
            {Saturation surface specific humidity}
           \end{minipage}\\
- &\\
 & TGRLW    &    $deg$   &    1
           &\begin{minipage}[t]{3in}
            {Instantaneous ground temperature used as input to the
-Line 410 
 N & NAME & UNITS & LEVELS & DESCRIPTION
+Line 473 
 N & NAME & UNITS & LEVELS & DESCRIPTION
            {Total cloud fraction used in the Longwave and Shortwave radiation
            subroutines}
           \end{minipage}\\
-& RADSWT   &    $Watts/m^2$   &  1
+& LWGDOWN  &    $Watts/m^2$   &  1
           &\begin{minipage}[t]{3in}
-           {Incident Shortwave radiation at the top of the atmosphere}
+           {Downwelling Longwave radiation at the ground}
           \end{minipage}\\
-& CLROSW   &    $0-1$   &  Nrphys
+& GWDT     &    $deg/day$ &  Nrphys
           &\begin{minipage}[t]{3in}
-           {Random overlap cloud fraction used in the shortwave radiation
+           {Temperature tendency due to Gravity Wave Drag}
-           subroutine}
           \end{minipage}\\
-& CLMOSW   &    $0-1$   &  Nrphys
+& RADSWT   &    $Watts/m^2$   &  1
           &\begin{minipage}[t]{3in}
-           {Maximum overlap cloud fraction used in the shortwave radiation
+           {Incident Shortwave radiation at the top of the atmosphere}
-           subroutine}
           \end{minipage}\\
-& EVAP     &    $mm/day$   &  1
+& TAUCLD   &    $per 100 mb$   &  Nrphys
           &\begin{minipage}[t]{3in}
-           {Surface evaporation}
+           {Counted Cloud Optical Depth (non-dimensional) per 100 mb}
+          \end{minipage}\\
+& TAUCLDC  &    $Number$   &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Cloud Optical Depth Counter}
           \end{minipage}\\
  \end{tabular}
  \vfill
-Line 439 
 N & NAME & UNITS & LEVELS & DESCRIPTION
+Line 504 
 N & NAME & UNITS & LEVELS & DESCRIPTION
  \hline
  &\\
-& DUDT     &    $m/sec/day$ &  Nrphys
+& CLDLOW   &    $0-1$   &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Low-Level ( 1000-700 hPa) Cloud Fraction  (0-1)}
+          \end{minipage}\\
+& EVAP     &    $mm/day$   &  1
+          &\begin{minipage}[t]{3in}
+           {Surface evaporation}
+          \end{minipage}\\
+& DPDT     &    $hPa/day$ &  1
+          &\begin{minipage}[t]{3in}
+           {Surface Pressure tendency}
+          \end{minipage}\\
+& UAVE     &    $m/sec$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Average U-Wind}
+          \end{minipage}\\
+& VAVE     &    $m/sec$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Average V-Wind}
+          \end{minipage}\\
+& TAVE     &    $deg$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Average Temperature}
+          \end{minipage}\\
+& QAVE     &    $g/kg$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Average Specific Humidity}
+          \end{minipage}\\
+& OMEGA    &    $hPa/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Vertical Velocity}
+          \end{minipage}\\
+& DUDT     &    $m/sec/day$ &  Nrphys
           &\begin{minipage}[t]{3in}
            {Total U-Wind tendency}
           \end{minipage}\\
 & DVDT     &    $m/sec/day$ &  Nrphys
           &\begin{minipage}[t]{3in}
            {Total V-Wind tendency}
           \end{minipage}\\
 & DTDT     &    $deg/day$ &  Nrphys
           &\begin{minipage}[t]{3in}
            {Total Temperature tendency}
           \end{minipage}\\
 & DQDT     &    $g/kg/day$ &  Nrphys
           &\begin{minipage}[t]{3in}
            {Total Specific Humidity tendency}
           \end{minipage}\\
-& USTAR    &    $m/sec$ &  1
+& VORT     &    $10^{-4}/sec$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Relative Vorticity}
+          \end{minipage}\\
+& NOT USED &    $$ &
+          &\begin{minipage}[t]{3in}
+           {}
+          \end{minipage}\\
+& DTLS     &    $deg/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Temperature tendency due to Stratiform Cloud Formation}
+          \end{minipage}\\
+& DQLS     &    $g/kg/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Specific Humidity tendency due to Stratiform Cloud Formation}
+          \end{minipage}\\
+& USTAR    &    $m/sec$ &  1
           &\begin{minipage}[t]{3in}
            {Surface USTAR wind}
           \end{minipage}\\
 & Z0       &    $m$ &  1
           &\begin{minipage}[t]{3in}
            {Surface roughness}
           \end{minipage}\\
 & FRQTRB   &    $0-1$ &  Nrphys-1
           &\begin{minipage}[t]{3in}
            {Frequency of Turbulence}
           \end{minipage}\\
 & PBL      &    $mb$ &  1
           &\begin{minipage}[t]{3in}
            {Planetary Boundary Layer depth}
           \end{minipage}\\
 & SWCLR    &  $deg/day$ &  Nrphys
           &\begin{minipage}[t]{3in}
            {Net clearsky Shortwave heating rate for each level}
           \end{minipage}\\
 & OSR      &   $Watts/m^2$  &    1
           &\begin{minipage}[t]{3in}
            {Net downward Shortwave flux at the top of the model}
           \end{minipage}\\
 & OSRCLR   &   $Watts/m^2$  &    1
           &\begin{minipage}[t]{3in}
            {Net downward clearsky Shortwave flux at the top of the model}
           \end{minipage}\\
 & CLDMAS   &   $kg / m^2$  &    Nrphys
           &\begin{minipage}[t]{3in}
            {Convective cloud mass flux}
           \end{minipage}\\
 & UAVE     &   $m/sec$  &    Nrphys
           &\begin{minipage}[t]{3in}
            {Time-averaged $u-Wind$}
           \end{minipage}\\
-& VAVE     &   $m/sec$  &    Nrphys
+ \end{tabular}
+ \vfill
+ \newpage
+ \vspace*{\fill}
+ \begin{tabular}{lllll}
+ \hline\hline
+ N & NAME & UNITS & LEVELS & DESCRIPTION \\
+ \hline
+ &\\
+& VAVE     &   $m/sec$  &    Nrphys
           &\begin{minipage}[t]{3in}
            {Time-averaged $v-Wind$}
           \end{minipage}\\
 & TAVE     &   $deg$  &    Nrphys
           &\begin{minipage}[t]{3in}
            {Time-averaged $Temperature$}
           \end{minipage}\\
 & QAVE     &   $g/g$  &    Nrphys
           &\begin{minipage}[t]{3in}
            {Time-averaged $Specific \, \, Humidity$}
           \end{minipage}\\
-& PAVE     &   $mb$  &    1
+& RFT      &    $deg/day$ &  Nrphys
           &\begin{minipage}[t]{3in}
-           {Time-averaged $p_{surf} - p_{top}$}
+           {Temperature tendency due Rayleigh Friction}
           \end{minipage}\\
-& QQAVE    &   $(m/sec)^2$  &    Nrphys
+& PS       &   $mb$  &    1
+          &\begin{minipage}[t]{3in}
+           {Surface Pressure}
+          \end{minipage}\\
+& QQAVE    &   $(m/sec)^2$  &    Nrphys
           &\begin{minipage}[t]{3in}
            {Time-averaged $Turbulent Kinetic Energy$}
           \end{minipage}\\
 & SWGCLR   &   $Watts/m^2$  &    1
           &\begin{minipage}[t]{3in}
            {Net downward clearsky Shortwave flux at the ground}
           \end{minipage}\\
-& SDIAG1   &             &    1
+& PAVE     &   $mb$  &    1
+          &\begin{minipage}[t]{3in}
+           {Time-averaged Surface Pressure}
+          \end{minipage}\\
+& SDIAG1   &             &    1
           &\begin{minipage}[t]{3in}
            {User-Defined Surface Diagnostic-1}
           \end{minipage}\\
 & SDIAG2   &             &    1
           &\begin{minipage}[t]{3in}
            {User-Defined Surface Diagnostic-2}
           \end{minipage}\\
 & UDIAG1   &             &    Nrphys
           &\begin{minipage}[t]{3in}
            {User-Defined Upper-Air Diagnostic-1}
           \end{minipage}\\
 & UDIAG2   &             &    Nrphys
           &\begin{minipage}[t]{3in}
            {User-Defined Upper-Air Diagnostic-2}
           \end{minipage}\\
 & DIABU    & $m/sec/day$ &    Nrphys
           &\begin{minipage}[t]{3in}
            {Total Diabatic forcing on $u-Wind$}
           \end{minipage}\\
 & DIABV    & $m/sec/day$ &    Nrphys
           &\begin{minipage}[t]{3in}
            {Total Diabatic forcing on $v-Wind$}
           \end{minipage}\\
 & DIABT    & $deg/day$ &    Nrphys
           &\begin{minipage}[t]{3in}
            {Total Diabatic forcing on $Temperature$}
           \end{minipage}\\
 & DIABQ    & $g/kg/day$ &    Nrphys
           &\begin{minipage}[t]{3in}
            {Total Diabatic forcing on $Specific \, \, Humidity$}
           \end{minipage}\\
+& RFU      &    $m/sec/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {U-Wind tendency due to Rayleigh Friction}
+          \end{minipage}\\
+& RFV      &    $m/sec/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {V-Wind tendency due to Rayleigh Friction}
+          \end{minipage}\\
+& GWDU     &    $m/sec/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {U-Wind tendency due to Gravity Wave Drag}
+          \end{minipage}\\
+& GWDU     &    $m/sec/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {V-Wind tendency due to Gravity Wave Drag}
+          \end{minipage}\\
+& GWDUS    &    $N/m^2$ &  1
+          &\begin{minipage}[t]{3in}
+           {U-Wind Gravity Wave Drag Stress at Surface}
+          \end{minipage}\\
+& GWDVS    &    $N/m^2$ &  1
+          &\begin{minipage}[t]{3in}
+           {V-Wind Gravity Wave Drag Stress at Surface}
+          \end{minipage}\\
+& GWDUT    &    $N/m^2$ &  1
+          &\begin{minipage}[t]{3in}
+           {U-Wind Gravity Wave Drag Stress at Top}
+          \end{minipage}\\
+& GWDVT    &    $N/m^2$ &  1
+          &\begin{minipage}[t]{3in}
+           {V-Wind Gravity Wave Drag Stress at Top}
+          \end{minipage}\\
+& LZRAD    &    $mg/kg$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Estimated Cloud Liquid Water used in Radiation}
+          \end{minipage}\\
  \end{tabular}
  \vfill
-Line 558 
 N & NAME & UNITS & LEVELS & DESCRIPTION
+Line 725 
 N & NAME & UNITS & LEVELS & DESCRIPTION
  N & NAME & UNITS & LEVELS & DESCRIPTION \\
  \hline
-& VINTUQ  & $m/sec \cdot g/kg$ &    1
+ &\\
+& SLP      &   $mb$  &    1
+          &\begin{minipage}[t]{3in}
+           {Time-averaged Sea-level Pressure}
+          \end{minipage}\\
+& NOT USED &    $$ &
           &\begin{minipage}[t]{3in}
-           {Vertically integrated $u \, q$}
+           {}
           \end{minipage}\\
-& VINTVQ  & $m/sec \cdot g/kg$ &    1
+& NOT USED &    $$ &
           &\begin{minipage}[t]{3in}
-           {Vertically integrated $v \, q$}
+           {}
           \end{minipage}\\
-& VINTUT  & $m/sec \cdot deg$ &    1
+& NOT USED &    $$ &
           &\begin{minipage}[t]{3in}
-           {Vertically integrated $u \, T$}
+           {}
           \end{minipage}\\
-& VINTVT  & $m/sec \cdot deg$ &    1
+& NOT USED &    $$ &
           &\begin{minipage}[t]{3in}
-           {Vertically integrated $v \, T$}
+           {}
           \end{minipage}\\
 & CLDFRC  & $0-1$ &    1
           &\begin{minipage}[t]{3in}
            {Total Cloud Fraction}
           \end{minipage}\\
-& QINT    & $gm/cm^2$ &    1
+& TPW     & $gm/cm^2$ &    1
           &\begin{minipage}[t]{3in}
            {Precipitable water}
           \end{minipage}\\
 & U2M     & $m/sec$ &    1
           &\begin{minipage}[t]{3in}
            {U-Wind at 2 meters}
           \end{minipage}\\
 & V2M     & $m/sec$ &    1
           &\begin{minipage}[t]{3in}
            {V-Wind at 2 meters}
           \end{minipage}\\
 & T2M     & $deg$ &    1
           &\begin{minipage}[t]{3in}
            {Temperature at 2 meters}
           \end{minipage}\\
 & Q2M     & $g/kg$ &    1
           &\begin{minipage}[t]{3in}
            {Specific Humidity at 2 meters}
           \end{minipage}\\
 & U10M    & $m/sec$ &    1
           &\begin{minipage}[t]{3in}
            {U-Wind at 10 meters}
           \end{minipage}\\
 & V10M    & $m/sec$ &    1
           &\begin{minipage}[t]{3in}
            {V-Wind at 10 meters}
           \end{minipage}\\
 & T10M    & $deg$ &    1
           &\begin{minipage}[t]{3in}
            {Temperature at 10 meters}
           \end{minipage}\\
 & Q10M    & $g/kg$ &    1
           &\begin{minipage}[t]{3in}
            {Specific Humidity at 10 meters}
           \end{minipage}\\
 & DTRAIN  & $kg/m^2$ &    Nrphys
           &\begin{minipage}[t]{3in}
            {Detrainment Cloud Mass Flux}
           \end{minipage}\\
 & QFILL   & $g/kg/day$ &    Nrphys
           &\begin{minipage}[t]{3in}
            {Filling of negative specific humidity}
           \end{minipage}\\
+& NOT USED &    $$ &
+          &\begin{minipage}[t]{3in}
+           {}
+          \end{minipage}\\
+& NOT USED &    $$ &
+          &\begin{minipage}[t]{3in}
+           {}
+          \end{minipage}\\
+& SHAPU    &    $m/sec/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {U-Wind tendency due to Shapiro Filter}
+          \end{minipage}\\
+& SHAPV    &    $m/sec/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {V-Wind tendency due to Shapiro Filter}
+          \end{minipage}\\
+& SHAPT    &    $deg/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Temperature tendency due Shapiro Filter}
+          \end{minipage}\\
+& SHAPQ    &    $g/kg/day$ &  Nrphys
+          &\begin{minipage}[t]{3in}
+           {Specific Humidity tendency due to Shapiro Filter}
+          \end{minipage}\\
+& SDIAG3   &             &    1
+          &\begin{minipage}[t]{3in}
+           {User-Defined Surface Diagnostic-3}
+          \end{minipage}\\
+& SDIAG4   &             &    1
+          &\begin{minipage}[t]{3in}
+           {User-Defined Surface Diagnostic-4}
+          \end{minipage}\\
+ \end{tabular}
+ \vspace{1.5in}
+ \vfill
+ \newpage
+ \vspace*{\fill}
+ \begin{tabular}{lllll}
+ \hline\hline
+ N & NAME & UNITS & LEVELS & DESCRIPTION \\
+ \hline
+ &\\
+& SDIAG5   &             &    1
+          &\begin{minipage}[t]{3in}
+           {User-Defined Surface Diagnostic-5}
+          \end{minipage}\\
+& SDIAG6   &             &    1
+          &\begin{minipage}[t]{3in}
+           {User-Defined Surface Diagnostic-6}
+          \end{minipage}\\
+& SDIAG7   &             &    1
+          &\begin{minipage}[t]{3in}
+           {User-Defined Surface Diagnostic-7}
+          \end{minipage}\\
+& SDIAG8   &             &    1
+          &\begin{minipage}[t]{3in}
+           {User-Defined Surface Diagnostic-8}
+          \end{minipage}\\
+& SDIAG9   &             &    1
+          &\begin{minipage}[t]{3in}
+           {User-Defined Surface Diagnostic-9}
+          \end{minipage}\\
+& SDIAG10  &             &    1
+          &\begin{minipage}[t]{3in}
+           {User-Defined Surface Diagnostic-1-}
+          \end{minipage}\\
+& UDIAG3   &             &    Nrphys
+          &\begin{minipage}[t]{3in}
+           {User-Defined Multi-Level Diagnostic-3}
+          \end{minipage}\\
+& UDIAG4   &             &    Nrphys
+          &\begin{minipage}[t]{3in}
+           {User-Defined Multi-Level Diagnostic-4}
+          \end{minipage}\\
+& UDIAG5   &             &    Nrphys
+          &\begin{minipage}[t]{3in}
+           {User-Defined Multi-Level Diagnostic-5}
+          \end{minipage}\\
+& UDIAG6   &             &    Nrphys
+          &\begin{minipage}[t]{3in}
+           {User-Defined Multi-Level Diagnostic-6}
+          \end{minipage}\\
+& UDIAG7   &             &    Nrphys
+          &\begin{minipage}[t]{3in}
+           {User-Defined Multi-Level Diagnostic-7}
+          \end{minipage}\\
+& UDIAG8   &             &    Nrphys
+          &\begin{minipage}[t]{3in}
+           {User-Defined Multi-Level Diagnostic-8}
+          \end{minipage}\\
+& UDIAG9   &             &    Nrphys
+          &\begin{minipage}[t]{3in}
+           {User-Defined Multi-Level Diagnostic-9}
+          \end{minipage}\\
+& UDIAG10  &             &    Nrphys
+          &\begin{minipage}[t]{3in}
+           {User-Defined Multi-Level Diagnostic-10}
+          \end{minipage}\\
+ \end{tabular}
+ \vspace{1.5in}
+ \vfill
+ \newpage
+ \vspace*{\fill}
+ \begin{tabular}{lllll}
+ \hline\hline
+ N & NAME & UNITS & LEVELS & DESCRIPTION \\
+ \hline
+ &\\
+& ETAN     & $(hPa,m)$ &    1
+          &\begin{minipage}[t]{3in}
+           {Perturbation of Surface (pressure, height)}
+          \end{minipage}\\
+& ETANSQ   & $(hPa^2,m^2)$ & 1
+          &\begin{minipage}[t]{3in}
+           {Square of Perturbation of Surface (pressure, height)}
+          \end{minipage}\\
+& THETA    & $deg K$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Potential Temperature}
+          \end{minipage}\\
+& SALT     & $g/kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Salt (or Water Vapor Mixing Ratio)}
+          \end{minipage}\\
+& UVEL     & $m/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {U-Velocity}
+          \end{minipage}\\
+& VVEL     & $m/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {V-Velocity}
+          \end{minipage}\\
+& WVEL     & $m/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical-Velocity}
+          \end{minipage}\\
+& THETASQ  & $deg^2$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Square of Potential Temperature}
+          \end{minipage}\\
+& SALTSQ   & $g^2/{kg}^2$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Square of Salt (or Water Vapor Mixing Ratio)}
+          \end{minipage}\\
+& UVELSQ   & $m^2/sec^2$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Square of U-Velocity}
+          \end{minipage}\\
+& VVELSQ   & $m^2/sec^2$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Square of V-Velocity}
+          \end{minipage}\\
+& WVELSQ   & $m^2/sec^2$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Square of Vertical-Velocity}
+          \end{minipage}\\
+& UVELVVEL & $m^2/sec^2$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Transport of Zonal Momentum}
+          \end{minipage}\\
+ \end{tabular}
+ \vspace{1.5in}
+ \vfill
+ \newpage
+ \vspace*{\fill}
+ \begin{tabular}{lllll}
+ \hline\hline
+ N & NAME & UNITS & LEVELS & DESCRIPTION \\
+ \hline
+ &\\
+& UVELMASS & $m/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Mass-Weighted Component of Velocity}
+          \end{minipage}\\
+& VVELMASS & $m/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Mass-Weighted Component of Velocity}
+          \end{minipage}\\
+& WVELMASS & $m/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Mass-Weighted Component of Velocity}
+          \end{minipage}\\
+& UTHMASS  & $m-deg/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Mass-Weight Transp of Pot Temp}
+          \end{minipage}\\
+& VTHMASS  & $m-deg/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Mass-Weight Transp of Pot Temp}
+          \end{minipage}\\
+& WTHMASS  & $m-deg/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Mass-Weight Transp of Pot Temp}
+          \end{minipage}\\
+& USLTMASS & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Mass-Weight Transp of Salt (or W.Vap Mix Rat.)}
+          \end{minipage}\\
+& VSLTMASS & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Mass-Weight Transp of Salt (or W.Vap Mix Rat.)}
+          \end{minipage}\\
+& WSLTMASS & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Mass-Weight Transp of Salt (or W.Vap Mix Rat.)}
+          \end{minipage}\\
+& UVELTH   & $m-deg/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Transp of Pot Temp}
+          \end{minipage}\\
+& VVELTH   & $m-deg/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Transp of Pot Temp}
+          \end{minipage}\\
+& WVELTH   & $m-deg/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Transp of Pot Temp}
+          \end{minipage}\\
+& UVELSLT  & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Transp of Salt (or W.Vap Mix Rat.)}
+          \end{minipage}\\
+& VVELSLT  & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Transp of Salt (or W.Vap Mix Rat.)}
+          \end{minipage}\\
+& WVELSLT  & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Transp of Salt (or W.Vap Mix Rat.)}
+          \end{minipage}\\
+& UTRAC1   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Transp of Tracer 1}
+          \end{minipage}\\
+& VTRAC1   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Transp of Tracer 1}
+          \end{minipage}\\
+& WTRAC1   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Transp of Tracer 1}
+          \end{minipage}\\
+& UTRAC2   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Transp of Tracer 2}
+          \end{minipage}\\
+& VTRAC2   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Transp of Tracer 2}
+          \end{minipage}\\
+& WTRAC2   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Transp of Tracer 2}
+          \end{minipage}\\
+& UTRAC3   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Transp of Tracer 3}
+          \end{minipage}\\
+& VTRAC3   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Transp of Tracer 3}
+          \end{minipage}\\
+& WTRAC3   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Transp of Tracer 3}
+          \end{minipage}\\
+& WSLTMASS & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Mass-Weight Transp of Salt (or W.Vap Mix Rat.)}
+          \end{minipage}\\
+ \end{tabular}
+ \vspace{1.5in}
+ \vfill
+ \newpage
+ \vspace*{\fill}
+ \begin{tabular}{lllll}
+ \hline\hline
+ N & NAME & UNITS & LEVELS & DESCRIPTION \\
+ \hline
+ &\\
+& UTRAC4   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Transp of Tracer 4}
+          \end{minipage}\\
+& VTRAC4   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Transp of Tracer 4}
+          \end{minipage}\\
+& WTRAC4   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Transp of Tracer 4}
+          \end{minipage}\\
+& UTRAC5   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Zonal Transp of Tracer 5}
+          \end{minipage}\\
+& VTRAC5   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Meridional Transp of Tracer 5}
+          \end{minipage}\\
+& WTRAC5   & $m-kg/sec-kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Vertical Transp of Tracer 5}
+          \end{minipage}\\
+& TRAC1    & $kg/kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Mass-Weight Tracer 1}
+          \end{minipage}\\
+& TRAC2    & $kg/kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Mass-Weight Tracer 2}
+          \end{minipage}\\
+& TRAC3    & $kg/kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Mass-Weight Tracer 3}
+          \end{minipage}\\
+& TRAC4    & $kg/kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Mass-Weight Tracer 4}
+          \end{minipage}\\
+& TRAC5    & $kg/kg$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Mass-Weight Tracer 5}
+          \end{minipage}\\
+& DICBIOA  & $mol/m3/s$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Biological Productivity}
+          \end{minipage}\\
+& DICCARB  & $mol eq/m3/s$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Carbonate chg-biol prod and remin}
+          \end{minipage}\\
+& DICTFLX  & $mol/m3/s$ & 1
+          &\begin{minipage}[t]{3in}
+           {Tendency of DIC due to air-sea exch}
+          \end{minipage}\\
+& DICOFLX  & $mol/m3/s$ & 1
+          &\begin{minipage}[t]{3in}
+           {Tendency of O2 due to air-sea exch}
+          \end{minipage}\\
+& DICCFLX  & $mol/m2/s$ & 1
+          &\begin{minipage}[t]{3in}
+           {Flux of CO2 - air-sea exch}
+          \end{minipage}\\
+& DICPCO2  & $atm$ & 1
+          &\begin{minipage}[t]{3in}
+           {Partial Pressure of CO2}
+          \end{minipage}\\
+& DICPHAV  & $dimensionless$ & 1
+          &\begin{minipage}[t]{3in}
+           {Average pH}
+          \end{minipage}\\
+& DTCONV   & $deg/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Temp Change due to Convection}
+          \end{minipage}\\
+& DQCONV   & $g/kg/sec$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Specific Humidity Change due to Convection}
+          \end{minipage}\\
+& RELHUM   & $percent$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Relative Humidity}
+          \end{minipage}\\
+& PRECLS   & $g/m^2/sec$ & 1
+          &\begin{minipage}[t]{3in}
+           {Large Scale Precipitation}
+          \end{minipage}\\
+& ENPREC   & $J/g$ & 1
+          &\begin{minipage}[t]{3in}
+           {Energy of Precipitation (snow, rain Temp)}
+          \end{minipage}\\
+& VISCA4   & $m^4/sec$ & 1
+          &\begin{minipage}[t]{3in}
+           {Biharmonic Viscosity Coefficient}
+          \end{minipage}\\
+& VISCAH   & $m^2/sec$ & 1
+          &\begin{minipage}[t]{3in}
+           {Harmonic Viscosity Coefficient}
+          \end{minipage}\\
+& DRHODR   & $kg/m^3/{r-unit}$ & Nr
+          &\begin{minipage}[t]{3in}
+           {Stratification: d.Sigma/dr}
+          \end{minipage}\\
+ \end{tabular}
+ \vspace{1.5in}
+ \vfill
+ \newpage
+ \vspace*{\fill}
+ \begin{tabular}{lllll}
+ \hline\hline
+ N & NAME & UNITS & LEVELS & DESCRIPTION \\
+ \hline
+ &\\
+& DETADT2  & ${r-unit}^2/s^2$ & 1
+          &\begin{minipage}[t]{3in}
+           {Square of Eta (Surf.P,SSH) Tendency}
+          \end{minipage}\\
  \end{tabular}
  \vspace{1.5in}
  \vfill

 Legend:



Removed from v.1.6
 


changed lines


 
Added in v.1.8
 Legend:



Removed from v.1.6
 


changed lines


 
Added in v.1.8
-Removed from v.1.6
+Added in v.1.8

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