  We propose a new point process model that combines, in the spatio-temporal
setting, both multi-scaling by hybridization and hardcore distances. Our
so-called hybrid Strauss hardcore point process model allows different types of
interaction, at different spatial and/or temporal scales, that might be of
interest in environmental and biological applications. The inference and
simulation of the model are implemented using the logistic likelihood approach
and the birth-death Metropolis-Hastings algorithm. Our model is illustrated and
compared to others on two datasets of forest fire occurrences respectively in
France and Spain.
