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A number of numeric approaches to simulate Poisson point processes witharbitrary event rates are presented and implemented for R. They include thesimulation of the number of points and their location as well as thedetermination of conditional probability densities and random numbers in caseswhere additional information (e.g. location of points or number of pointsoccurring) is available upfront.

Conditional Densities and Simulations of Inhomogeneous Poisson Point Processes: The R package "IPPP"