  It is shown that an arbitrary Fermion hopping hamiltonian can be represented
by a system with no fermion fields, generalising earlier results by M. Levin &
X.G. Wen [Phys Rev B 67, 245316 (2003)]. All the operators in the hamiltonian
of resulting description obey the principle of locality, that operators
associated with different sites commute, despite the system having excitations
obeying Fermi statistics. Whilst extra conserved degrees of freedom are
introduced, they are all locally identified in the representation obtained. The
same methods apply to Majorana (half) fermions, which for cartesian lattices
mitigate the Fermion Doubling Problem. The generality of these results suggests
that the observation of Fermion excitations in nature does not demand that
anticommuting Fermion fields are fundamental.
