Thanks a lot for this!
Others have made models like this before, usually in the context of more general discussions of demographics and the history of the Order. Most of the ones I’ve seen are a little more conservative, and arrive at about “half of all Gifted members of the Order are alive today”, i.e roughly 2500 magi total in history.
Looking at your chart it seems like they assumed faster, less regular growth prior to the Schism War and slower growth from 1100 on. Interesting to see where you agree and disagree!