issues: 1154014066

What happened?

When saving a dataset to a NetCDF file with both dimension and auxiliary coordinates, the data variables' coordinate attribute only lists the coordinates that are not related to any dimension (so-called "auxiliary" coordinates).

What did you expect to happen?

I expect xarray to adhere to the CF conventions where it says:

Every element of every feature must be unambiguously associated with its space and time coordinates and with the feature that contains it. The coordinates attribute must be attached to every data variable to indicate the spatiotemporal coordinate variables that are needed to geo-locate the data. [from https://cfconventions.org/cf-conventions/cf-conventions.html#coordinates-metadata]

See also this example: https://cfconventions.org/cf-conventions/cf-conventions.html#_single_trajectory

Minimal Complete Verifiable Example

Python import xarray as xr xr.Dataset({"values": ('time', [0.0, 0.1])}, coords={ 'time': ('time', [0, 1]), 'lat': ('time', [5, 4]), 'lon': ('time', [10, 12]) }).to_netcdf("test.nc")

bash $ ncdump -h test.nc netcdf test { dimensions: time = 2 ; variables: double values(time) ; values:_FillValue = NaN ; values:coordinates = "lon lat" ; int64 time(time) ; int64 lat(time) ; int64 lon(time) ; } Note that values:coordinates doesn't list the time coordinate (as in the example in the CF conventions).

Relevant log output

No response

Anything else we need to know?

I don't want to offend anyone, please correct me if I read the CF conventions in the wrong way or if this is a special case, and in general, the CF conventions recommend to only include auxiliary coordinates in the coordinates attribute. I couldn't find any such recommendation in the conventions text, but it's a very long document. What I did find (see my second post) is that it is "permissible, but optional" to list non-auxiliary variables in general, and it is required for the special case of "Discrete Sampling Geometries".

Environment

``` INSTALLED VERSIONS

---

commit: None python: 3.8.12 | packaged by conda-forge | (default, Oct 12 2021, 21:59:51) [GCC 9.4.0] python-bits: 64 OS: Linux OS-release: 5.4.0-100-generic machine: x86_64 processor: x86_64 byteorder: little LC_ALL: None LANG: en_US.UTF-8 LOCALE: ('en_US', 'UTF-8') libhdf5: 1.12.1 libnetcdf: 4.8.1

xarray: 0.19.0 pandas: 1.3.4 numpy: 1.21.4 scipy: 1.7.0 netCDF4: 1.5.8 pydap: None h5netcdf: None h5py: 3.4.0 Nio: None zarr: None cftime: 1.5.1.1 nc_time_axis: None PseudoNetCDF: None rasterio: 1.2.10 cfgrib: 0.9.9.0 iris: None bottleneck: 1.3.2 dask: 2021.07.1 distributed: 2021.07.1 matplotlib: 3.4.2 cartopy: 0.20.1 seaborn: None numbagg: None pint: 0.17 setuptools: 59.2.0 pip: 21.2.1 conda: None pytest: None IPython: 7.29.0 sphinx: None ```