Evaluating the spatiotemporal clustering of traffic incidents

Abstract This research presents both theoretical results regarding the nature of spatiotemporal clustering on a network, and applied outcomes from examining such clustering with regard to traffic incidents. The analysis considers fatal traffic incidents in eastern Fairfax County, Virginia and injury incidents in Franklin County, Ohio. The spatiotemporal analytical methods of Knox and subsequent researchers are reviewed. Specific methods for performing spatiotemporal analysis are outlined, with special attention given to the interpretation of the results for traffic incidents. An argument is made for conducting spatial and temporal cluster analyses independently, in addition to spatiotemporal cluster analysis, a comparative analysis of methods for testing for the significance of spatiotemporal clusters is presented, and suggestions for delineating critical parameters for the Knox statistic are provided.

[1]  Atsuyuki Okabe,et al.  A kernel density estimation method for networks, its computational method and a GIS‐based tool , 2009, Int. J. Geogr. Inf. Sci..

[2]  Trevor C. Bailey,et al.  Interactive Spatial Data Analysis , 1995 .

[3]  D. A. Pinder,et al.  NEAREST‐NEIGHBOUR ANALYSIS OF LINEAR POINT PATTERNS , 1973 .

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

[5]  Geert Wets,et al.  Identifying Hazardous Road Locations: Hot Spots versus Hot Zones , 2009, Trans. Comput. Sci..

[6]  Shino Shiode,et al.  Analysis of a Distribution of Point Events Using the Network-Based Quadrat Method , 2008 .

[7]  Giorgos Mountrakis,et al.  Multi‐scale spatiotemporal analyses of moose–vehicle collisions: a case study in northern Vermont , 2009, Int. J. Geogr. Inf. Sci..

[8]  Z. Šidák.  Rectangular Confidence Regions for the Means of Multivariate Normal Distributions , 1967 .

[9]  W. F. Athas,et al.  Evaluating cluster alarms: a space-time scan statistic and brain cancer in Los Alamos, New Mexico. , 1998, American journal of public health.

[10]  L Nyström,et al.  Statistical Analysis , 2008, Encyclopedia of Social Network Analysis and Mining.

[11]  Atsuyuki Okabe,et al.  Solving the Huff-Based Competitive Location Model on a Network with Link-Based Demand , 2002, Ann. Oper. Res..

[12]  S. Meighan,et al.  Leukemia in childhood. Epidemiology in oregon , 1965, Cancer.

[13]  Atsuyuki Okabe,et al.  The K-Function Method on a Network and Its Computational Implementation , 2010 .

[14]  J. Neumann.  Distribution of the Ratio of the Mean Square Successive Difference to the Variance , 1941 .

[15]  D. Young,et al.  The linear nearest neighbour statistic , 1982 .

[16]  N Mantel,et al.  Lack of time-space clustering of childhood leukemia in Los Angeles County, 1960-1964. , 1969, Cancer research.

[17]  Chenghu Zhou,et al.  Please Scroll down for Article International Journal of Geographical Information Science Windowed Nearest Neighbour Method for Mining Spatio-temporal Clusters in the Presence of Noise Windowed Nearest Neighbour Method for Mining Spatio-temporal Clusters in the Presence of Noise , 2022 .

[18]  André D. Lascari,et al.  Leukemia in childhood , 1973 .

[19]  T. Coburn.  Spatial Data Analysis by Example , 1991 .

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

[21]  William R. Black,et al.  ACCIDENTS ON BELGIUM'S MOTORWAYS: A NETWORK AUTOCORRELATION ANALYSIS. , 1998 .

[22]  S. Holm.  A Simple Sequentially Rejective Multiple Test Procedure , 1979 .

[23]  Renato M. Assunção,et al.  Knox meets Cox: Adapting epidemiological space-time statistics to demographic studies , 2010, Demography.

[24]  M. Klauber,et al.  TWO-SAMPLE RANDOMIZATION TESTS FOR SPACE-TIME CLUSTERING , 1971 .

[25]  Arthur Getis,et al.  Spatial and Temporal Clustering of Kawasaki Syndrome Cases , 2008, The Pediatric infectious disease journal.

[26]  Geoffrey M. Jacquez,et al.  Spatial Cluster Analysis , 2008 .

[27]  Atsuyuki Okabe,et al.  SANET: A Toolbox for Spatial Analysis on a Network , 2006 .

[28]  I. Thomas.  Spatial data aggregation: exploratory analysis of road accidents. , 1996, Accident; analysis and prevention.

[29]  Jean-Claude Thill,et al.  Comparison of planar and network K-functions in traffic accident analysis , 2004 .

[30]  D. E. Barton,et al.  Two Space-time Interaction Tests for Epidemicity * , 1966 .

[31]  Atsuyuki Okabe,et al.  The Statistical Analysis of a Distribution of Activity Points in Relation to Surface-Like Elements , 1988 .

[32]  Martin Kulldorff,et al.  Prospective time periodic geographical disease surveillance using a scan statistic , 2001 .

[33]  Atsuyuki Okabe,et al.  Uniform network transformation for points pattern analysis on a non-uniform network , 2006, J. Geogr. Syst..

[34]  Jack Siemiatycki,et al.  Mantel's space-time clustering statistic: computing higher moments and a comparison of various data transforms , 1978 .

[35]  Narushige Shiode,et al.  Detection of multi‐scale clusters in network space , 2009, Int. J. Geogr. Inf. Sci..

[36]  Peter A. Rogerson,et al.  Monitoring point patterns for the development of space–time clusters , 2001 .

[37]  Harvey J. Miller,et al.  Measuring Space‐Time Accessibility Benefits within Transportation Networks: Basic Theory and Computational Procedures , 1999 .

[38]  Jeremy L. Mennis.  Multidimensional Map Algebra: Design and Implementation of a Spatio-Temporal GIS Processing Language , 2010, Trans. GIS.

[39]  C. Roberts,et al.  A test for space clustering and its application to congenital limb defects in Cardiff. , 1973, British journal of preventive & social medicine.

[40]  Renato Assunção,et al.  Surveillance to detect emerging space-time clusters , 2009, Comput. Stat. Data Anal..

[41]  M. Kulldor,et al.  Prospective time-periodic geographical disease surveillance using a scan statistic , 2001 .

[42]  Y. Hochberg.  A sharper Bonferroni procedure for multiple tests of significance , 1988 .

[43]  J. Keith Ord,et al.  Spatial Processes Models and Applications , 1981 .

[44]  K. Laurence,et al.  An investigation of space and space-time clustering in a large sample of infants with neural tube defects born in Cardiff. , 1975, British journal of preventive & social medicine.

[45]  Frederik P. Agterberg,et al.  Interactive spatial data analysis , 1996 .

[46]  Tanja Pless-Mulloli,et al.  Space-time analysis of Down syndrome: results consistent with transient pre-disposing contagious agent. , 2008, International journal of epidemiology.

[47]  R. Simes,et al.  An improved Bonferroni procedure for multiple tests of significance , 1986 .

[48]  P. Mielke,et al.  Clarification and Appropriate Inferences for Mantel and Valand's Nonparametric Multivariate Analysis Technique , 1978 .

[49]  P. J. Clark,et al.  Distance to Nearest Neighbor as a Measure of Spatial Relationships in Populations , 1954 .

[50]  P Mustacchi,et al.  Space-time clustering of childhood leukemia in San Francisco. , 1970, Cancer research.

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

[52]  John P. Wilson,et al.  The Handbook of Geographic Information Science , 2007 .

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

[54]  Tomoki Nakaya,et al.  Visualising Crime Clusters in a Space‐time Cube: An Exploratory Data‐analysis Approach Using Space‐time Kernel Density Estimation and Scan Statistics , 2010, Trans. GIS.

[55]  Atsuyuki Okabe,et al.  Statistical Analysis of the Distribution of Points on a Network , 2010 .

[56]  M. C. Pike,et al.  Epidemiology of childhood leukaemia in greater london: A search for evidence of transmission assuming a possibly long latent period. , 1976, British Journal of Cancer.

[57]  David A Noyce,et al.  Application and Integration of Lattice Data Analysis, Network K-Functions, and Geographic Information System Software to Study Ice-Related Crashes , 2009 .

[58]  Jean-Claude Thill,et al.  Local Indicators of Network-Constrained Clusters in Spatial Point Patterns , 2007 .

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

[60]  Wei Chang,et al.  A stack-based prospective spatio-temporal data analysis approach , 2008, Decis. Support Syst..

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

[62]  E. Knox,et al.  Leukaemia clusters in Great Britain. 1. Space-time interactions. , 1992, Journal of epidemiology and community health.

[63]  William R. Black,et al.  Network Autocorrelation in Transport Network and Flow Systems , 2010 .

[64]  G. J. G. Upton,et al.  Spatial data Analysis by Example , 1985 .

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

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

[67]  J. Thill,et al.  Local Indicators of Network-Constrained Clusters in Spatial Patterns Represented by a Link Attribute , 2010 .