  Strong consistency of the maximum likelihood estimator (MLE) for parametric
Gibbs point process models is established. The setting is very general. It
includes pairwise pair potentials, finite and infinite multibody interactions
and geometrical interactions, where the range can be finite or infinite. The
Gibbs interaction may depend linearly or non-linearly on the parameters, a
particular case being hardcore parameters and interaction range parameters. As
important examples, we deduce the consistency of the MLE for all parameters of
the Strauss model, the hardcore Strauss model, the Lennard-Jones model and the
area-interaction model.
