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We consider perfect simulation algorithms for locally stable point processesbased on dominated coupling from the past. A version of the algorithm isdeveloped which is feasible for processes which are neither purely attractivenor purely repulsive. Such processes include multiscale area-interactionprocesses, which are capable of modelling point patterns whose clusteringstructure varies across scales. We prove correctness of the algorithm andexistence of these processes. An application to the redwood seedlings data isdiscussed.

Perfect simulation of spatial point processes using dominated coupling from the past with application to a multiscale area-interaction point process