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.

翻译：我们提出了一种新的点过程模型，该模型在时空框架下结合了混合多尺度与硬核距离。所提出的混合Strauss硬核点过程模型允许在不同空间和/或时间尺度上存在不同类型的相互作用，这对于环境和生物学应用具有潜在价值。模型的推断与模拟采用逻辑似然方法和生死Metropolis-Hastings算法实现。我们分别基于法国和西班牙的森林火灾发生数据集对该模型进行了验证，并与其他模型进行了比较。