Heiko,

All of the heights are measured relative to a surface.  I guess the proper type 
names are orthometric (normal to the geoid), geodetic (normal to the 
ellipsoid), and geocentric (relative to the ellipsoid, but not normal to it).  
In my personal on-the-job experience the label “geometric” was usually equated 
to geocentric, but it could be equally used of geodetic, since both are 
geometric in construction.

Distances above the center of the Earth would be in a geocentric coordinate 
system and are not considered to be heights.

The point to take from all this is that geographic coordinate reference systems 
(CRSs) are quite complicated, and often under-considered.  CF should do a good 
job of documenting the CRS used, and to be complete, we need to specify:
map projection (if X/Y coordinates are specified)
horizontal datum (specifies the ellipsoid and origin point used for the 
latitudes and longitudes - may not be valid globally) 
vertical datum (specifies the ellipsoid or geoid used for heights - may be 
different than the horizontal datum!)
height type (if height is reported)

Right now, we don’t have attributes defined for all of these in the grid 
projection variable.  There is a certain amount of redundancy to the above 
list, since a particular map projection usually implies a particular horizontal 
datum, and it would be unusual (for example) to report geodetic or geocentric 
heights if a geoidal vertical datum is used.  In addition to all this, there is 
the case of cartesian coordinate systems such as Earth-Centered Fixed and 
Earth-Centered Inertial.

So we are dealing with a lack of sufficient vocabulary within CF right now.  
This has come up in Trac Ticket 107 as well.

Grace and peace,

Jim

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Research Scholar
Cooperative Institute for Climate and Satellites NC
North Carolina State University
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On Feb 10, 2014, at 3:30 AM, Heiko Klein <[email protected]> wrote:

> Dear all,
> 
> thanks for your answers. I usually use the standard-name table for parameters 
> than for the reference-system. I really would like to see the coordinate-axis 
> standard-names as part of the CF-documentation, since we have already most of 
> them there (ocean_sigma_coordinate, projection_x_axis, time). I'm not aware 
> of a FAQ for CF?
> 
> I've never seen a file with geometrical height. If I understand Jim 
> correctly, values are in the order of magnitude 6371km (=earth radius).
> 
> Reading the definition of altitude at wikipedia, it seems to be a equivalent 
> to height_above_reference_ellipsoid. But, as John points out, the CF 
> standard-name descriptions sayt the geoid is defined to be MSL, so it's fine 
> for me, unless we want to have different standard_names for reference-systems 
> than for parameters.
> 
> Best regards,
> 
> Heiko
> 
> 
> On 2014-02-07 19:49, Jim Biard wrote:
>> Geometrical height is sometimes used synonymously with geodetic height,
>> but the strict interpretation is height above the ellipsoid surface
>> along a line from the center of the Earth to the surface.  Geodetic
>> heights are normal to the ellipsoid surface.
>> 
>> CICS-NC <http://www.cicsnc.org/>Visit us on
>> Facebook <http://www.facebook.com/cicsnc>    *Jim Biard*
>> *Research Scholar*
>> Cooperative Institute for Climate and Satellites NC <http://cicsnc.org/>
>> North Carolina State University <http://ncsu.edu/>
>> NOAA's National Climatic Data Center <http://ncdc.noaa.gov/>
>> 151 Patton Ave, Asheville, NC 28801
>> e: [email protected] <mailto:[email protected]>
>> o: +1 828 271 4900
>> 
>> 
>> 
>> 
>> 
>> On Feb 7, 2014, at 1:25 PM, Jonathan Gregory <[email protected]
>> <mailto:[email protected]>> wrote:
>> 
>>> Dear Heiko
>>> 
>>>> 1. height above ground
>>> has standard_name of height, as you say
>>> 
>>>> 2. height above mean sea level
>>> I don't think we have a standard name for this yet, but
>>> height_above_sea_level
>>> would be consistent with existing names. For example, there is a
>>> stdname of
>>> sea_surface_height_above_sea_level.
>>> 
>>>> 3. depth below surface
>>> is depth, as you say.
>>> 
>>>> 4. geometrical height
>>> What does this mean? i.e. height above what reference level?
>>> 
>>> altitude is height above the geoid. Maybe that is geometrical height?
>>> 
>>>> And for pressure vertical coordinates: is the correct standard_name
>>>> 'air_pressure'?
>>> 
>>> Yes.
>>> 
>>>> Could these eventually be mentioned in the Convention besides the
>>>> standard_names for dimensionless vertical coordinates?
>>> 
>>> This sounds to me like another possible entry for a FAQ. Would that be
>>> a good
>>> idea?
>>> 
>>> Best wishes
>>> 
>>> Jonathan
>>> _______________________________________________
>>> CF-metadata mailing list
>>> [email protected] <mailto:[email protected]>
>>> http://mailman.cgd.ucar.edu/mailman/listinfo/cf-metadata
>> 
>> 
>> 
>> _______________________________________________
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> 
> -- 
> Dr. Heiko Klein                              Tel. + 47 22 96 32 58
> Development Section / IT Department          Fax. + 47 22 69 63 55
> Norwegian Meteorological Institute           http://www.met.no
> P.O. Box 43 Blindern  0313 Oslo NORWAY

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