If you can find it, let the University know. They are the conservator for his writings.
http://www.lib.ed.ac.uk/faqs/parqs.shtml#Aftytler1
The story of the Mamlukes by John Bagot Glubb 'Pasha' (18971986), published in New York by Stein and Day, 1973, Glubb gives an unattributed reference to stages in the 'life of democracy', stating p.230 that the words were written by Alexander Fraser Tytler but providing no source.
Thanks for the info and attribution.
And we won't have to worry about:
"A democracy cannot exist as a permanent form of government. It can only exist until the voters discover that they can vote themselves largess from the public treasury"
afterall?