Identification of Traffic Accident Clusters using Kulldorff’s Space-Time Scan Statistics

Identifying traffic accident clusters is vital in helping road users and policymakers make better decisions in managing accident risks. Traffic accidents contain both spatial and temporal dimensions and their interaction should be analyzed to have a better understanding of the nature of the clusters. Similar studies conducted in this area rely on manually sorting data into time buckets before conducting spatial analysis on each of the buckets. While this better than a purely spatial or temporal analysis, the temporal clusters defined by the researcher may not be statistically significant or reveal meaningful space-time interactions. In this paper, we describe the use of Kulldorff’s space-time scan statistics to identify traffic accident spatiotemporal clusters. The method identifies clusters by using a scanning cylinder that is varying in size to search for accident cases which are close together in both space and time. The null hypothesis is that the cases are assumed to have constant risk over space and time and follow the Poisson distribution. The Poisson generalized likelihood ratio was determined for each cylinder as a measure of the evidence that it is a hotspot. The clusters were then statistically evaluated using Monte Carlo hypothesis testing. This study was conducted on the 2016 United Kingdom traffic accident dataset and the results show that this method is able to pin point the exact location, size and period of statistically significant clusters.

[1]  N. Mantel The detection of disease clustering and a generalized regression approach. , 1967, Cancer research.

[2]  Richard Andrášik,et al.  Identification of hazardous road locations of traffic accidents by means of kernel density estimation and cluster significance evaluation. , 2013, Accident; analysis and prevention.

[3]  Saffet Erdogan,et al.  A MODEL SUGGESTION FOR THE DETERMINATION OF THE TRAFFIC ACCIDENT HOTSPOTS ON THE TURKISH HIGHWAY ROAD NETWORK: A PILOT STUDY , 2015 .

[4]  M. Kulldorff A spatial scan statistic , 1997 .

[5]  D. Jovanović,et al.  1 IDENTIFICATION OF HOTSPOTS ROAD LOCATIONS OF TRAFFIC ACCIDENTS WITH PEDESTRIAN IN URBAN AREAS , 2013 .

[6]  M. Kulldorff,et al.  A Space–Time Permutation Scan Statistic for Disease Outbreak Detection , 2005, PLoS medicine.

[7]  Benjamin Romano,et al.  Visualizing Traffic Accident Hotspots Based on Spatial-Temporal Network Kernel Density Estimation , 2017, SIGSPATIAL/GIS.

[8]  G. Jacquez A k nearest neighbour test for space-time interaction. , 1996, Statistics in medicine.

[9]  R. Häggkvist,et al.  Second-order analysis of space-time clustering , 1995, Statistical methods in medical research.

[10]  William R. Black,et al.  HIGHWAY ACCIDENTS: A SPATIAL AND TEMPORAL ANALYSIS , 1991 .

[11]  Michel Mouchart,et al.  The local spatial autocorrelation and the kernel method for identifying black zones. A comparative approach. , 2003, Accident; analysis and prevention.

[12]  E G Knox,et al.  The Detection of Space‐Time Interactions , 1964 .

[13]  R. Baker Testing for space-time clusters of unknown size , 1996 .

[14]  Jun Yan,et al.  Kernel Density Estimation of traffic accidents in a network space , 2008, Comput. Environ. Urban Syst..

[15]  Wei Guo,et al.  Network-constrained spatio-temporal clustering analysis of traffic collisions in Jianghan District of Wuhan, China , 2018, PloS one.

[16]  M. Kulldorff,et al.  The Knox Method and Other Tests for Space‐Time Interaction , 1999, Biometrics.