Nonparametric spatiotemporal analysis of violent crime. A case study in the Rio de Janeiro metropolitan area

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Abstract

This paper analyzes the spatiotemporal pattern of gunfire reports collected by the collaborative mobile app Fogo Cruzado in the Rio de Janeiro metropolitan area (Brazil). We apply nonparametric first and second-order inference tools to characterize gunfire behavior, and test whether gunfire patterns meet the assumptions of crime prediction models, such as kernel hotspot maps or self-exciting point process. The kernel intensity estimator describes the spatial distribution of gunfire and identifies chronic hotspots. The nonparametric test for comparison of first-order intensities found differences between gunfires with and without fatalities or police presence. The recently developed log-ratio based first-order separability test found that the spatial distribution of gunfire, fatalities and police presence varied over time. Finally, spatiotemporal inhomogeneous K-tests detected clustering between gunfire events, fatalities and police presence. These results suggest that a self-exciting point process with nonseparable background component is an acceptable model for future development of a suitable approach to forecast gunfire hotspots in Rio de Janeiro.

Original languageBritish English
Article number100431
JournalSpatial Statistics
Volume42
DOIs
StatePublished - Apr 2021

Keywords

  • First-order intensity
  • Fogo cruzado
  • Gunfire
  • Inhomogeneous K-function
  • Kernel smoothing
  • Separability test

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