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Newly available point-level datasets allow us to relate police use of forceto other events describing police behavior. Current methods for relating twopoint processes typically rely on the spatial aggregation of one of the twopoint processes. We investigate new methods that build upon shared componentmodels and case-control methods to retain the point-level nature of both pointprocesses while characterizing the relationship between them. We find that theshared component approach is particularly useful in flexibly relating two pointprocesses, and we illustrate this flexibility in simulated examples and anapplication to Chicago policing data.

A Shared Component Point Process Model for Urban Policing