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

A spatio-temporal hybrid Strauss hardcore point process for forest fire occurrences