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#107: CF Data Model 1.7
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  Reporter:  markh           |      Owner:  cf-conventions@…
      Type:  task            |     Status:  new
  Priority:  medium          |  Milestone:
 Component:  cf-conventions  |    Version:
Resolution:                  |   Keywords:
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Comment (by biard):

 Replying to [comment:74 jonathan]:
 > Dear Jim
 >
 > Replying to [comment:71 biard]:
 > > I think you've put your finger directly on the disagreement I have
 with your approach.  As I look at it, grid_mapping does not do the thing
 you describe in point 1 [''i.e. georeferencing''], and formula_terms is
 not involved with the thing you describe in point 2 [''i.e. defining a
 geophysical surface''].
 >
 >   1. Latitude and longitude are implicitly georeferenced - not
 precisely, without stating the ellipsoid, but with sufficient definition
 for many purposes, especially in the spherical GCM world. Projection
 coordinates on a Cartesian plane, however, are not at all georeferenced
 without the projection information. The `grid_mapping` provides that
 information.
 >
 >   2. Vertical coordinates in CF, identified by `standard_names`, are
 referred to a geophysically defined surface e.g.
 `height_above_reference_ellipsoid`. For some purposes, it may be necessary
 to specify precisely what that surface is. We cannot currently do this in
 CF for vertical coordinates, but I think it is highly likely that we will
 want to do it, since the issue has already been raised. We could do it
 using a `grid_mapping`, and then a vertical coordinate would require both
 `formula_terms` and `grid_mapping` for precise georeferencing.
 >
 > In summary, both `grid_mapping` and `formula_terms` have function (1),
 for different kinds of coordinate. `grid_mapping` has function (2), which
 is currently allowed only for horizontal coordinates. This mismatch
 between purposes and CF-netCDF constructs arises from the history of the
 convention. If we were starting from scratch, I think we would have a
 netCDF construct like `grid_mapping`, but extended, for both horizontal
 and vertical coordinates, and that would simpler. Essentially, that is
 what we are proposing for the logical data model.
 >
 > Cheers
 >
 > Jonathan
 Jonathan,

 I can see your point about latitude and longitude being coarsely
 georeferenced (assuming they aren't rotated), and it's quite clear that in
 the history of all this, it was assumed that lat, lon, and height were de
 facto georeferenced. This was, clearly, ''good enough'' for the GCM world.
 Working from this background, it's easy to see why grid_mapping was
 thought of as a transform. I don't, however, think it's a good idea to
 continue to think of it this way.  I'm in full agreement that grid_mapping
 needs to be extended to allow definition of a fully 3D CRS.

 Regarding your inclusions ["i.e. georeferencing"] and ["i.e. defining a
 geophysical surface"] in your reply to my reply (to your reply...):

 Grid_mapping does accomplish georeferencing.  It georeferences all the the
 georeferenceable coordinate variables, both X/Y and lon/lat, assuming it
 declares a projected or Cartesian CRS.  (If it's a lon/lat CRS, then there
 won't be any X/Y coordinate variables.)

 Formula_terms doesn't define a geophysical surface.  As stated in the CF
 standard formula_terms provides "a mapping between the dimensionless
 coordinate values and dimensional values that '''can be''' uniquely
 located with respect to a point on the earth's surface." (Emphasis mine.)
 The output of applying formula_terms is georeferenceable.  This input
 isn't.

 This is what it boils down to in my view:

 The contents of a variable that are dimensionless vertical coordinate
 values are not, themselves, georeferenceable (sigma coordinates, etc).
 They can be used as one of the inputs to the transform/function declared
 by the formula_terms attribute, and the outputs are georeferenceable. The
 outputs require a declaration of the CRS used in order to fix their
 locations relative to the body of the Earth. The historical view of the
 output values was that they were implicitly georeferenced, which was
 considered good enough for many purposes, and often was/is.

 The contents of a variable that are horizontal projection coordinate
 values are, themselves, georeferenceable.  They require a declaration of
 the CRS used in order to fix their locations relative to the body of the
 Earth.   Longitudes and latitudes within the declared CRS may be obtained
 from the contents of a pair of X and Y coordinate variables using
 transforms that are associated with, but not provided by the grid_mapping
 associated with the X and Y coordinate variables.

 The contents of a variable that are latitude or longitude values are,
 themselves, georeferenceable.  They require a declaration of the CRS used
 in order to fix their locations relative to the body of the Earth. The
 historical view of the values was that they were implicitly georeferenced,
 which was considered good enough for many purposes, and often was/is.

 If you don't assume that georeferenceable equates to georeferenced, then I
 think it's clear that formula_terms does not equate to grid_mapping in
 functionality.  CRSs are a complicated topic, and there are subtleties and
 variations that the above descriptions gloss over (as we've seen from the
 CRS discussions), but I don't think any of those variations negate the
 point that formula_terms transforms non-georeferenceable values into
 georeferenceable values, while grid_mapping (if I, for the sake of
 argument, accept the premise) bidirectionally transforms one set of
 georeferenceable values into another set of georeferenceable values.

 Even if you had used the dummy variable formalism for formula_terms (which
 would have been great!), it wouldn't make formula_terms any more
 equivalent logically to grid_mapping.

 Grace and peace,

 Jim
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Ticket URL: <http://kitt.llnl.gov/trac/ticket/107#comment:77>
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