I made some test (years from -13000 to +2000) with the nutation models available with Uruk_One. I’ve just realised that is time to simplify. IAU 1980 is very fast because is extracted directly from DE440/441. Parks states that it is a modified IAU 1980 model including only terms with a period of 18.6 years, but I can see a good quality with respect to IAU200A IERS and SOFA versions, that are much slower. IAU2000B model is the worst in the group, and just to be sure I compared my results with the SOFA implementation of IAU2000B: same values.
Therefore the survivals will be IAU1980 because is fast and accurate and IAU2000A IERS, because the SOFA version is basically a duplication.
