#140: Clarifying the role of attributes on boundary variables.
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  Reporter:  davidhassell    |      Owner:  cf-conventions@…
      Type:  enhancement     |     Status:  new
  Priority:  medium          |  Milestone:
 Component:  cf-conventions  |    Version:
Resolution:                  |   Keywords:  boundary variable, attribute
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Comment (by davidhassell):

 Dear Karl and Jonathan,

 I agree with all of your suggestions and changes. I hope that I have
 parsed them correctly and that we are indeed "there". The proposed
 changes, in full, are now:

 After the first paragraph of section 7.1 Cell Boundaries, add the
 following three paragraphs and two examples:

     Boundary variable attributes which determine the coordinate type
 (`units`, `standard_name`, `axis` and `positive`) or those which affect
 the interpretation of the array values (`units`, `calendar`, `leap_month`,
 `leap_year` and `month_lengths`) must always agree exactly with the same
 attributes of its associated coordinate, scalar coordinate or auxiliary
 coordinate variable. To avoid duplication, however, it is recommended that
 these are not provided to a boundary variable.

     If a parametric coordinate variable with a `formula_terms` attribute
 (section 4.3.2) also has a `bounds` attribute, its boundary variable must
 have a `formula_terms` attribute too. In this case the same terms would
 appear in both (as specified in Appendix D), since the transformation from
 the parametric coordinate values to physical space is realized through the
 same formula. For any term that depends on the vertical dimension,
 however, the variable names appearing in the formula terms would differ
 from those found in the `formula_terms` attribute of the coordinate
 variable itself because the boundary variables for formula terms are two-
 dimensional while the formula terms themselves are one-dimensional.

     Whenever a `formula_terms` attribute is attached to a boundary
 variable, the formula terms may additionally be identified using a second
 method: variables appearing in the vertical coordinate's `formula_terms`
 may be declared to be coordinate, scalar coordinate or auxiliary
 coordinate variables, and those coordinates may have bounds attributes
 that identify their boundary variables. In that case, the bounds attribute
 of a formula terms variable must be consistent with the `formula_terms`
 attribute of the boundary variable. Software digesting legacy datasets
 (constructed prior to version 1.7 of this standard) may have to rely in
 some cases on the first method of identifying the formula term variables
 and in other cases, on the second. Starting from version 1.7, however, the
 first method will be sufficient.

   '''Example:''' Specifying `formula_terms` when a parametric coordinate
 variable has bounds.

 {{{
  float eta(eta) ;
    eta:long_name = "eta at full levels" ;
    eta:positive = "down" ;
    eta:standard_name = " atmosphere_hybrid_sigma_pressure_coordinate" ;
    eta:formula_terms = "a: A b: B ps: PS p0: P0" ;
    eta:bounds="eta_bnds" ;
  float eta_bnds(eta, 2) ;
    eta_bnds:formula_terms = "a: A_bnds b: B_bnds ps: PS p0: P0" ; // This
 attribute is mandatory
  float A(eta) ;
    A:long_name = "'a' coefficient for vertical coordinate at full levels"
 ;
    A:units = "Pa" ;
    A:bounds = "A_bnds" ; // This attribute is included for the optional
 second method
  float B(eta) ;
    B:long_name = "'b' coefficient for vertical coordinate at full levels"
 ;
    B:units = "1" ;
    B:bounds = "B_bnds" ; // This attribute is included for the optional
 second method
  float A_bnds(eta, 2) ;
  float B_bnds(eta, 2) ;
  float PS(lat, lon) ;
    PS.units = "Pa" ;
  float P0 ;
    P0.units = "Pa" ;
  float temp(eta, lat, lon) ;
    temp:standard_name = "air_temperature" ;
    temp:units = "K";
    temp:coordinates = "A B" ; // This attribute is included for the
 optional second method
 }}}

 The conformance document is to be changed as follows:

 In section 7.1 Cell Boundaries:

 Replace requirement "If a boundary variable has `units` or `standard_name`
 attributes, they must agree with those of its associated variable." with

     If a boundary variable has `units`, `standard_name`, `axis`,
 `positive`, `calendar`, `leap_month`, `leap_year` or `month_lengths`
 attributes, they must agree with those of its associated variable.

 Add a new requirement (This requirement is backwards incompatible):

     Starting with version 1.7, a boundary variable must have a
 `formula_terms` attribute when it contains bounds for a parametric
 vertical coordinate variable that has a `formula_terms` attribute. In this
 case the same terms and named variables must appear in both except for any
 term that depends on the vertical dimension, for which the variable name
 appearing in the boundary variable's `formula_terms` attribute must differ
 from that found in the `formula_terms` attribute of the coordinate
 variable itself. The different variable must have the same dimensions as
 its associated variable, plus have a trailing dimension (CDL order) for
 the maximum number of vertices in a cell. If the named variable in the
 `formula_terms` attribute of the vertical coordinate variable is a
 coordinate, scalar coordinate or auxiliary coordinate variable then its
 `bounds` attribute must be consistent with the equivalent term in
 `formula_terms` attribute of the boundary variable.

 Replace recommendation "Boundary variables should not have the
 `_FillValue` or `missing_value` attributes." with

     Boundary variables should not have the `_FillValue`, `missing_value`,
 `units`, `standard_name`, `axis`, `positive`, `calendar`, `leap_month`,
 `leap_year` or `month_lengths` attributes.

--
Ticket URL: <https://cf-trac.llnl.gov/trac/ticket/140#comment:26>
CF Metadata <http://cf-convention.github.io/>
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