Table of Contents
Fetching ...

The Problem of Dynamic Spatial Sampling and Geofence Surveillance

Marty Davidson, Jason Byers

Abstract

Geofencing surveillance poses a dynamic spatial sampling problem. Law enforcement must establish geofence perimeters to identify a relevant suspect. This requires identifying a sampling region around a surveillance site and counting the number of intersecting individuals as proxied by geolocation tags. Law enforcement commonly constructs sampling regions with fixed distance intervals or fixed polygon boundaries. This generates privacy concerns as considerations for constructing these perimeters do not factor in the local density of human activity, such as pedestrian flows or traffic patterns. This increases the risk of selective expansion where agencies attempt to extend their data collection beyond what a warrant previously approved. This paper attempts to balance law enforcement's needs for surveillance with individual level privacy by proposing a set of optimal radius estimators. These plug-in estimators use the empirical distribution of human activity patterns to estimate an optimal radius. Given a surveillance site and set of point densities, the optimal radius generates surveillance perimeters that adapt to local conditions. We discuss the implications of applying this estimator to policing surveillance efforts and how law enforcement can use algorithms to better protect the privacy of its citizens.

The Problem of Dynamic Spatial Sampling and Geofence Surveillance

Abstract

Geofencing surveillance poses a dynamic spatial sampling problem. Law enforcement must establish geofence perimeters to identify a relevant suspect. This requires identifying a sampling region around a surveillance site and counting the number of intersecting individuals as proxied by geolocation tags. Law enforcement commonly constructs sampling regions with fixed distance intervals or fixed polygon boundaries. This generates privacy concerns as considerations for constructing these perimeters do not factor in the local density of human activity, such as pedestrian flows or traffic patterns. This increases the risk of selective expansion where agencies attempt to extend their data collection beyond what a warrant previously approved. This paper attempts to balance law enforcement's needs for surveillance with individual level privacy by proposing a set of optimal radius estimators. These plug-in estimators use the empirical distribution of human activity patterns to estimate an optimal radius. Given a surveillance site and set of point densities, the optimal radius generates surveillance perimeters that adapt to local conditions. We discuss the implications of applying this estimator to policing surveillance efforts and how law enforcement can use algorithms to better protect the privacy of its citizens.

Paper Structure

This paper contains 16 sections, 88 equations, 8 figures, 1 table.

Figures (8)

  • Figure 11: Radius ($r$) and Number of Commuters ($n$) across different Privacy Constraints ($k$)
  • Figure 12: Window Adaptive Sampling Regions and Convergence Rates for $k = 50$
  • Figure 13: Finding the Optimal Ball Radius (Stationary Point Process)
  • Figure 14: Convergence Rate for Optimal Radius: Stationary Point Process (k = 50)
  • Figure 15: Finding the Optimal Ball Radius (Stationary Point Process)
  • ...and 3 more figures

Theorems & Definitions (7)

  • Proof 1
  • Proof 2
  • Proof 3
  • Definition 9: Circumradius Plug-In Estimator
  • Definition 10: Apothem of Inscribed Polygon
  • Definition 11: Side Length of Polygon
  • Proof 4