Dear Sebastien

Apologies. I meant Appendix F (grid mappings) not D. Could you describe
your species of tripolar grid as one of these? Maybe there aren't any
parameters to be recorded.

Best wishes

Jonathan

----- Forwarded message from Sebastien Villaume <[email protected]> 
-----

> Date: Wed, 5 Apr 2017 08:47:57 +0000
> From: Sebastien Villaume <[email protected]>
> To: [email protected]
> Subject: Re: [CF-metadata] CF compliant tripolar grid representation
> X-Mailer: Zimbra 8.6.0_GA_1200 (ZimbraWebClient - FF50 (Linux)/8.6.0_GA_1200)
> 
> Hi all,
> 
> I could try to draft an new entry in grid_mapping or a new entry in Appendix 
> D (it will not be a dimensionless "vertical" coordinate but a dimensionless 
> "horizontal" coordinate) 
> 
> Could we agree first on what I need to define? I don't want to invest too 
> much time in defining something before everyone agree on the way forward.
> 
> thanks 
> 
> ____________________________________ 
> 
> Dr. Sébastien Villaume 
> Analyst 
> ECMWF Shinfield Park, 
> Reading RG2 9AX, UK 
> +44 7825 521592 
> [email protected] 
> ____________________________________
> 
> ----- Original Message -----
> From: "Jim Biard" <[email protected]>
> To: [email protected]
> Sent: Tuesday, 4 April, 2017 21:47:36
> Subject: Re: [CF-metadata] CF compliant tripolar grid representation
> 
> Hi. 
> 
> I tend to agree with Jonathan about the use of the grid_mapping variable, 
> although it would probably be necessary to provide a clear distinction 
> between this sort of information about mapping grid indices to lats and lons 
> and providing information about mapping projected coordinate axis values to 
> lats and lons. This new use is probably more appropriate for the name of the 
> variable ( grid _mapping). Having said that, the potential for confusion and 
> complication makes me wonder if a new construct isn't needed. 
> 
> The problem that I see with x/y_coordinate_index is that the indices are very 
> likely indices to lat/lon coordinates, not x/y coordinates. They function as 
> a sort of unitless, non-geographic x and y, but I think it would better to 
> avoid overloading concepts. It's also possible that these indices could be 
> indices to x and y coordinates, so it seems to me that 
> lat/lon_coordinate_index would be no better. This is what led me to the names 
> in my list that didn't use x, y, lat, or lon. They could be useful in other 
> scenarios, such as satellite swath imagery, which have axes of scan and 
> sample, so I didn't want to constrain the terms too closely to the mesh grid 
> scenario that this discussion started with. 
> 
> Grace and peace, 
> 
> Jim 
> 
> On 4/4/17 4:25 PM, Jonathan Gregory wrote: 
> 
> 
> 
> Dear Sébastien et al.
> 
> From what you say I understand that the translation of indices to coordinate
> values is rather ad-hoc, rather than being done by the same formulae for all
> sorts of tripolar grid. You could identify the grid construction, if that 
> would
> be useful, in a non-standard way in some attribute such as "comment". To
> provide a standardised description, I still think grid_mapping would be the
> right place, but evidently "tripolar" would not be a sufficient definition.
> Instead you would need different entries in Appendix D for the different sorts
> of tripolar grid in use. In these entries you could certainly give URLs to
> documentation, I think, as well as a description. The aim of putting it in
> Appendix D would be to provide a source of information about how the indices
> are related to coordinate values.
> 
> I suggested [xy]_coordinate_index because these phrases are already used in
> standard names (one of each). If we don't like them now, we ought to change 
> the
> existing names, since we should be consistent. I think the phrase "coordinate
> index" means "the index to a coordinate value". Just "index" would be less
> informative, I feel.
> 
> Best wishes
> 
> Jonathan
> 
> 
> ----- Forwarded message from Sebastien Villaume 
> <[email protected]> ----- 
> 
> 
> 
> Date: Mon, 3 Apr 2017 13:56:40 +0000
> From: Sebastien Villaume <[email protected]> To: 
> [email protected] Subject: Re: [CF-metadata] CF compliant tripolar 
> grid representation
> X-Mailer: Zimbra 8.6.0_GA_1200 (ZimbraWebClient - FF50 (Linux)/8.6.0_GA_1200)
> 
> 
> Hi Mark,
> 
> I agree that we need to find the best way to describe these grids (with the 
> appropriate controlled metadata) and not necessarily use an existing concept 
> (crs, grid_mapping) if it does not fit the purpose and generates confusion. 
> 
> These tripolar grids are tricky and I guess this is why there is no standard 
> systematic way to describe them.
> 
> Reading more on it, I realized that some of them are not always "regular 
> grids" (by regular I mean monotonic increase of lat and lon when increasing i 
> and j indices): it seems that some NEMO configurations reuse some of the i 
> and j indices that are over land (large parts of Asia and Africa) and 
> relocate them over specific water regions to locally increase the grid 
> resolution! 
> 
> This can be seen here: 
> http://www.nemo-ocean.eu/content/download/7538/40914/file/meshmask_grid.pdf 
> Some of these grids do not have a simple analytical description since it is a 
> composite of several local descriptions. How can I then properly 
> reference/identify them? using an attribute like "model_grid_mapping" or 
> "model_mesh_mapping" or simply "mesh_mapping" instead of "grid_mapping" and 
> points to an URN/URI?
> 
> AMy main issue is that I can not derive directly from the metadata the type 
> of grid used. I have to plot it to know what it is and this is not 
> satisfactory.
> 
> Regardless of the preferred solution (if one exists), I would still like to 
> have a proper standard name for my 1-D mesh indices i and j.
> 
> thanks
> ____________________________________ 
> 
> Dr. Sébastien Villaume 
> Analyst 
> ECMWF Shinfield Park, 
> Reading RG2 9AX, UK 
> +44 7825 521592 [email protected] 
> ____________________________________
> 
> ----- Original Message -----
> From: "Hedley, Mark" <[email protected]> To: "Jim Biard" 
> <[email protected]> , [email protected] Sent: Monday, 3 April, 2017 
> 10:28:05
> Subject: Re: [CF-metadata] CF compliant tripolar grid representation
> 
> Hello All, 
> 
> I'd like to pick up on an earlier comment from Jim: 
> If I'm not mistaken, we would need to propose a new grid_mapping to be 
> added to the Conventions that would define a Tripolar Coordinate Reference 
> System, along with any attributes that don't currently exist that are 
> needed to complete the definition. I did a search for a standard tripolar 
> CRS in proj4 or epsg, and was unable to find one. Is it possible to make 
> such a definition? 
> I don't think this is the correct approach 
> 
> In my opinion, the tri-polar grid is described with respect to a Geographic 
> Coordinate Reference System: typically the one used to co-locate the 
> observations for assimilation, by spatial coordinates. 
> The 'Grid' is not a projection and it is not a coordinate reference system: 
> it is the description of a model grid. 
> In data files I have seen, each spatial location is defined by a location in 
> latitude, longitude and depth, with respect to a suitable geodetic datum. 
> 
> 
> I agree with your more recent comment Jim: 
> 
> I'm wondering if x and y have too strong an association to projected 
> coordinate 
> systems. I also like u/v, but that may be too strongly associated for some 
> people 
> with vector components (wind, for example). 
> 
> I think that describing grid indices should be carefully distinguished from 
> spatial coordinates. Put a different way, I don't think a grid index can be 
> georeferenceable. 
> 
> I think that a good deal of care not to confuse the grid indices with any 
> interpretation of 'grid_mapping' relations is required here. 
> I don't think that a CF grid mapping should be used to connect any 
> description of model index space with geographic space in these cases. 
> 
> Sebastien states: 
> 
> I would like to propose for addition standard names to support the mesh 
> indices/coordinates: 
> 
> "mesh_grid_i/j_index" suggested by Jim 
> or
> "x/y_coordinate_index" suggested by Jonathan 
> 
> The mixing of the terms coordinate and index gives me pause for thought. What 
> information is being encoded here? 
> 
> A key question I have is about the expectation for values of these indices, 
> under operations such as sub-setting. I have seen many files which do not 
> have coordinate variables for the x-like and y-like dimensions, the only 
> horizontal spatial metadata is contained in auxiliary coordinates. 
> Clearly I can perform index operations on these arrays, but I don't consider 
> the index values important and I don't preserve them. 
> 
> Sebastien: 
> Is it the case that you would like to ensure that model index space values 
> are preserved, for example when removing a regional subset from a tri-polar 
> ocean model? 
> Would you like to be able to encode a result where it is clear that a 
> regional subset of 50 <= x < 150, 70 <= x < 120 has been taken from a larger 
> extent model? 
> 
> If standard names are provided to encode such information, I would advocate 
> clear descriptive text stating that there is no mathematical relationship 
> between such index coordinates (i still don't like mixing these terms) and 
> projection coordinates or geographic coordinates 
> 
> Sebastien states: 
> I have checked both IPSL and CNRM CMIP5 datasets. It is indeed NEMO datasets 
> and it is probably a 
> ORCA tripolar grid in both cases. I write "probably" because it is not clear 
> and conclusive 
> without plotting the datasets: lat and lon are 2D fields, the datasets define 
> 2 extra 1D coordinates "i" and "j" 
> to be used as mesh indices (but without a proper standard name). 
> The datasets also have bounds for lat and lon, defined as "lat_vertices" and 
> "lon_vertices" which I think 
> is one solution to describe the tripolar grid. I would prefer something more 
> standardized and documented so 
> that one can quickly identify from the metadata that it is a tripolar grid 
> (defining the resolution, 
> where are the poles, how it is derived, etc.) 
> 
> I appreciate the desire to have a standardised approach to defining such a 
> model grid. I would not advocate trying to use grid mapping variables 
> and relationships for this, I think this could do more harm than good. 
> I don't have a better suggestion to hand, I'm sad to say. 
> 
> I am not raising principled objections to this conversation or the direction 
> of travel; I am raising waryness and caution about introducing further 
> confusion or implying stronger relationships than can be provided. 
> 
> all the best 
> mark 
> 
> 
> From: CF-metadata [ [email protected] ] on behalf of Jim Biard 
> [ [email protected] ] 
> Sent: 31 March 2017 23:26 
> To: [email protected] Subject: Re: [CF-metadata] CF compliant tripolar 
> grid representation 
> 
> 
> 
> Hi. 
> 
> I like the more generic x/y_coordinate_index name, but I'm wondering if x and 
> y have too strong an association to projected coordinate systems. I also like 
> u/v, but that may be too strongly associated for some people with vector 
> components (wind, for example). What do the rest of you think? Here are some 
> names that come to mind. Feel free to suggest something better! 
> 
> 
>     * mesh_grid_i_index, mesh_grid_j_index 
>     * grid_i_index, grid_j_index 
>     * grid_i_coordinate, grid_j_coordinate 
>     * x_coordinate_index, y_coordinate_index 
>     * index_x_coordinate, index_y_coordinate (this ordering matches the 
> projection_x/y_coordinate naming) 
>     * u_coordinate, v_coordinate 
>     * i_coordinate, j_coordinate 
>     * grid_row_coordinate, grid_column_coordinate 
>     * row_coordinate, column_coordinate 
> 
> 
> The more I look at these, the more I like the last two. 
> 
> 
> As for a definitions, how about something like this variation on the ones for 
> the projection_x/y_coordinate? 
> 
> 
> 
> 
> column_coordinate: "column" indicates the fastest-changing dimension of a 
> two-dimensional grid, when this is not associated with a spatial coordinate 
> dimension such as longitude or projected X, positive with increasing column. 
> The column coordinate, possibly in conjunction with the row coordinate, 
> serves as a parametric driver mapping abstract grid positions to spatial 
> coordinates such as latitude and longitude. 
> 
> 
> row_coordinate: "row" indicates the the slowest-changing dimension of a 
> 2-dimensional grid, when this is not associated with a spatial coordinate 
> dimension such as latitude or projected Y, positive with increasing row. The 
> row and column coordinates serve as a parametric driver mapping abstract grid 
> positions to spatial coordinates such as latitude and longitude. Grace and 
> peace, 
> 
> Jim 
> 
> On 3/31/17 5:37 PM, Sebastien Villaume wrote: 
> 
> 
> 
> Hi all,
> 
> I have checked both IPSL and CNRM CMIP5 datasets. It is indeed NEMO datasets 
> and it is probably a ORCA tripolar grid in both cases. I write "probably" 
> because it is not clear and conclusive without plotting the datasets: lat and 
> lon are 2D fields, the datasets define 2 extra 1D coordinates "i" and "j" to 
> be used as mesh indices (but without a proper standard name). The datasets 
> also have bounds for lat and lon, defined as "lat_vertices" and 
> "lon_vertices" which I think is one solution to describe the tripolar grid. I 
> would prefer something more standardized and documented so that one can 
> quickly identify from the metadata that it is a tripolar grid (defining the 
> resolution, where are the poles, how it is derived, etc.)
> 
> I would like to propose for addition standard names to support the mesh 
> indices/coordinates: 
> 
> "mesh_grid_i/j_index" suggested by Jim 
> or
> "x/y_coordinate_index" suggested by Jonathan
> 
> I let the experts in standard names decide which pair suits best the present 
> case.
> 
> Regarding tripolar grids characteristics, I did some research and came to the 
> conclusion that "Murray tripolar grids" are not identical to "ORCA/NEMO 
> tripolar grids". This is true even without considering characteristics like 
> the grid resolution, the location of the poles or where the latitude boundary 
> is placed between the modified and unmodified parts. 
> 
> The Murray tripolar grid (used by GFDL) has its "north" poles on the boundary 
> as shown here: 
> https://www.gfdl.noaa.gov/wp-content/uploads/pix/user_images/mw/bipolar.gif 
> The ORCA/NEMO tripolar grids have the "north" poles within the modified 
> regions but not on the boundary as shown in my original post: 
> http://www.geomar.de/typo3temp/pics/globe_grid2_14_b8edb639ae.png This 
> complicates things...
> 
> 
> ____________________________________ 
> 
> Dr. Sébastien Villaume 
> Analyst 
> ECMWF Shinfield Park, 
> Reading RG2 9AX, UK 
> +44 7825 521592 [email protected] 
> ____________________________________
> 
> ----- Original Message -----
> From: "James Orr" <[email protected]> To: "Karl Taylor" 
> <[email protected]> Cc: [email protected] Sent: Thursday, 30 March, 
> 2017 23:01:54
> Subject: Re: [CF-metadata] CF compliant tripolar grid representation
> 
> The IPSL and CNRM cimate models that participated in CMIP5 both used the NEMO 
> model (ORCA2 and ORCA1 configurations) with tripolar grids.  Both provided 
> output the was CF compliant.
> 
> James
> 
> On Thu, 30 Mar 2017, Karl Taylor wrote: 
> 
> 
> 
> Hi Sebastien,
> 
> More than one group stored output on a tripolar grid in CMIP5.  I'm pretty 
> sure they did it in a CF-conforming way.  I know at least some of the GFDL 
> model output was reported on a tripolar grid, as described at 
> http://nomads.gfdl.noaa.gov/CM2.X/oceangrid.html (or search on "tripolar 
> grid" for additional links).  You could look to their example, and see if you 
> think it is done correctly.
> 
> I don't think extensions or modifications to CF are needed for tripolar 
> grids.
> 
> best regards,
> Karl
> 
> On 3/30/17 9:42 AM, Jim Biard wrote: 
> 
> 
> 
> Sébastien,
> 
> If I'm not mistaken, we would need to propose a new grid_mapping to be 
> added to the Conventions that would define a Tripolar Coordinate Reference 
> System, along with any attributes that don't currently exist that are 
> needed to complete the definition. I did a search for a standard tripolar 
> CRS in proj4 or epsg, and was unable to find one. Is it possible to make 
> such a definition?
> 
> Regarding the standard names for your X and Y coordinate variables, I think 
> you could use "projection_x/y_coordinate" once a grid_mapping has been 
> defined. Of course you could always leave the attribute off, since a 
> standard_name attribute is not a requirement.
> 
> If making a new grid_mapping is not feasible, you could request standard 
> names along the lines of mesh_grid_i_index and mesh_grid_j_index. These 
> standard names would (on reading their definitions) make it clear that the 
> measurements are on a mesh grid for which there is no CRS. At least that's 
> what comes to mind at the moment.
> 
> Grace and peace,
> 
> Jim
> 
> On 3/30/17 11:52 AM, Sebastien Villaume wrote: 
> 
> 
> 
> Hello all,
> 
> I am looking for the best approach to describe in a CF compliant way the 
> tripolar grids usually used in NEMO configurations.
> 
> Basically, the difference with a usual bipolar grid (north pole-south 
> pole) is that the north pole is split into 2 poles moved over Canada and 
> Russia (to have distortions/singularities not over the ocean). A good 
> visual representation can be found here: 
> http://www.geomar.de/typo3temp/pics/globe_grid2_14_b8edb639ae.png everything 
> south of the green line (40degN) is identical to a regular 
> grid, but everything north of it is computed using a technique described 
> here:
> 
> Madec, G. and M. Imbard, 1996 : A global ocean mesh to overcome the north 
> pole singularity. Clim. Dyn., 12, 381–388.
> 
> 
> The usual NEMO output of the grid looks like this:
> 
>      float longitude(y, x) ;
>          longitude:standard_name = "longitude" ;
>          longitude:units = "degrees_east" ;
>          longitude:long_name = "longitude" ;
>      float latitude(y, x) ;
>          latitude:standard_name = "latitude" ;
>          latitude:units = "degrees_north" ;
>          latitude:long_name = "latitude" ;
> 
> 
> Basically both latitudes and longitudes need to be specified for each grid 
> point, hence lat and lon are 2D arrays. This is not a problem itself but I 
> would like to give more information through maybe grid_mapping or crs so 
> it is clear that the grid is tripolar. This is useful information if one 
> want to project/interpolate this back to a more regular representation.
> 
> Looking at the CF conventions, I can see that grids can be fairly nicely 
> documented but nothing for tripolar grids.
> 
> Is there some documentation/guidelines on how to derive a proper 
> grid_mapping/crs with valid attributes for tripolar grids?
> 
> I would also like to add to my netcdf file a way to better describe axes:
> 
>      double y(y) ;
>          y:units = "1" ;
>          y:long_name = "j-index of mesh grid" ;
>          y:standard_name = ??? ;
>      double x(x) ;
>          x:units = "1" ;
>          x:long_name = "i-index of mesh grid" ;
>          x:standard_name = ??? ;
> 
> what would be the standard name of these?
> 
> Thanks,
> 
> ____________________________________
> 
> Dr. Sébastien Villaume
> Analyst
> ECMWF Shinfield Park,
> Reading RG2 9AX, UK
> +44 7825 521592 [email protected] 
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> e: [email protected] 
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