What are the equations for McAdams ellipses? Are they location dependent in the 1931 chromiticity diagram?
There are no equations for MacAdam’s ellipses. They represent data on the variability of color matches for an observer when matching lights of various chromaticities and yes, they are location dependent in the 1931 xy diagram. I would suggest reading about this type of work in Wyszecki and Stiles’ reference book “Color Science” and then exploring the original MacAdam papers on the topic if you need further details.