  A two dimensional model for quantum percolation with variable tunneling range
is studied. For this purpose the Lifshitz model is considered where the
disorder enters the Hamiltonian via the nondiagonal elements. We employ a
numerical method to analyze the level statistics of this model. It turns out
that the level repulsion is strongest around the percolation threshold. As we
go away from the maximum level repulsion a crossover from a GOE type behavior
to a Poisson like distribution is indicated. The localization properties are
calculated by using the sensitivity to boundary conditions and we find a strong
crossover from localized to delocalized states.
