# A Shared Component Point Process Model for Urban Policing

## TL;DR

This paper introduces a shared component point process model that directly relates police use of force to other police events at the exact location level, offering a flexible alternative to traditional spatial aggregation methods.

## Contribution

It develops a novel shared component modeling approach for two point processes, maintaining point-level detail and improving relationship characterization.

## Key findings

- Shared component approach effectively models the relationship between police events.
- Method outperforms traditional spatial aggregation techniques in simulations.
- Application to Chicago data demonstrates practical utility.

## Abstract

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