I am coming around to favoring a partial ISO 8601-2:2019 approach as described 
above by @peterkuma.  Both ways of either counting or not counting year 0 could 
be supported with some minimal extension of the reference date notation, as 
initially suggested above by @martinjuckes.  I have a suggested notation that I 
would like hold for later.

Let's continue to focus on the primary question of year numbers in the 
traditional CF format, without any new notation.  By ISO 8601-2:2019, and if we 
agree, year zero and negative years are included.

Now the interpretation for `proleptic_gregorian` is still undecided.  I suggest 
that the current, unadorned `proleptic_gregorian` should include year zero and 
negative years for general scientific usage.  I do not know of any data sets 
that have encoded zero or negative years in a conflicting way with 
`proleptic_gregorian`.  Also there is precedent for this outside of CF; see the 
[Wikipedia article](https://en.wikipedia.org/wiki/Proleptic_Gregorian_calendar).

@JonathanGregory, you proposed that years before 1 should be deprecated for 
`proleptic_gregorian`.  Do you have a specific reason for preferring this?

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