Functionals of spatial point process often satisfy a weak spatial dependence
condition known as stabilization. In this paper we prove process level
moderate deviation principles (MDP) for such functionals, which is
a level-3 result for empirical point fields as well as a level-2 result
for empirical point measures. The level-3 rate function coincides with
the so-called specific information. We show that the general result
can be applied to prove MDPs for various particular functionals,
including random sequential packing, birth-growth models, germ-grain
models and nearest neighbor graphs.