We show that the fermion mass spectrum may naturally be understood in
terms of flavour democratic fixed points in supersymmetric theories wh
ich have a large domain of attraction in the presence of ''strong unif
ication''. Our approach provides an alternative to the approximate Yuk
awa texture zeroes of the Froggatt-Nielsen mechanism. We discuss a par
ticular model based on a broken gauged SU(3)(L) X SU(3)(R) family symm
etry which illustrates our approach. (C) 1998 Elsevier Science B.V. Al
l rights reserved.