Evaluating the spatiotemporal clustering of traffic incidents

Computers, Environment and Urban Systems

Volumn 37, Issue 1, 2013, Pages 70-81

  Eckley, David C ^a   Curtin, Kevin M ^a  

^a GEORGE MASON UNIVERSITY   (United States)

Author keywords

Cluster detection; Knox method; Network; Point pattern analysis; Significance testing; Spatiotemporal analysis

Indexed keywords

CLUSTER DETECTION; KNOX METHOD; POINT PATTERN ANALYSIS; SIGNIFICANCE TESTING; SPATIOTEMPORAL ANALYSIS;

ECOLOGY; NETWORKS (CIRCUITS);

CLUSTER ANALYSIS;

ANALYTICAL METHOD; CLUSTER ANALYSIS; COMPARATIVE STUDY; SPATIOTEMPORAL ANALYSIS; STATISTICAL ANALYSIS; TRAFFIC MANAGEMENT; TRANSPORTATION PLANNING;

FAIRFAX COUNTY; FRANKLIN COUNTY [OHIO]; OHIO; UNITED STATES; VIRGINIA;

EID: 84870393160     PISSN: 01989715     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compenvurbsys.2012.06.004     Document Type: Article

References (65)

1. Assunção R., Correa T. Surveillance to detect emerging space-time clusters. Computational Statistics & Data Analysis 2009, 53:2817-2830.
2. Bailey T., Gatrell T. Interactive spatial data analysis 1996, Prentice Hall. 1st ed.
3. Baker R. Testing for space-time clusters of unknown size. Journal of Applied Statistics 1996, 23:543-554. 10.1080/02664769624080.
4. Black W. Highway accidents: A spatial and temporal analysis. Transportation Research Record 1991, 1318:75-82.
5. Black W. Network autocorrelation in transport network and flow systems. Geographical Analysis 1992, 24(3):207-222. 10.1111/j.1538-4632.1992.tb00262.x.
6. Black W., Thomas I. Accidents on Belgium's motorways: A network autocorrelation analysis. Journal of Transport Geography 1998, 6(1):23-31. 10.1016/S0966-6923(97)00037-9.
7. Chang W., Zeng D., Chen H. A stack-based prospective spatio-temporal data analysis approach. Decision Support Systems 2008, 45:697-713. 10.1016/j.dss.2007.12.008.
8. Clark P.J., Evans F.C. Distance to nearest neighbor as a measure of spatial relationships in populations. Ecology 1954, 35:445. 10.2307/1931034.
9. Cliff A., Ord J. Spatial processes: Models & applications 1981, Pion, London.
10. David F.N., Barton D.E. Two space-time interaction tests for epidemicity. British Journal of Preventive and Social Medicine 1966, 20(1):44-48.
11. Diggle P., Chetwynd A., Häggkvist R., Morris S. Second-order analysis of space-time clustering. Statistical Methods in Medical Research 1995, 4(2):124-136. 10.1177/096228029500400203.
12. FARS (2010). Fatality analysis reporting system fatal crash data overview (No. 810564). National Highway Traffic Safety Administration. http://www.nrd.nhtsa.dot.gov.
13. Glass A.G., Mantel N. Lack of time-space clustering of childhood Leukemia in Los Angeles County, 1960-1964. Cancer Research 1969, 29(11):1995-2001.
14. Hochberg Y. A sharper Bonferroni procedure for multiple tests of significance. Biometrika 1988, 75(4):800-802. 10.1093/biomet/75.4.800.
15. Holm S. A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics 1979, 6:65-70.
16. Jacquez G. A k nearest neighbour test for space-time interaction. Statistics in Medicine 1996, 15(17-18):1935-1949.
17. Jacquez G. Spatial cluster analysis. The handbook of geographic information science 2008, 395-416. Blackwell Publishing. S. Fotheringham, J. Wilson (Eds.).
18. Kao A.S., Getis A., Brodine S., Burns J.C. Spatial and temporal clustering of Kawasaki syndrome cases. Pediatric Infectious Disease Journal 2008, 27(11):981-985. 10.1097/INF.0b013e31817acf4f.
19. Kennedy, E. (2010). ODPS Crash Extracts (No. 7). Ohio Traffic Safety Office. http://www.dps.state.oh.us/CrashRequests/extract.aspx.
20. Khan G., Santiago-Chaparro K., Qin X., Noyce D. Application and integration of lattice data analysis, network K-functions, and geographic information system software to study ice-related crashes. Transportation Research Record 2009, 2136:67-76.
21. Klauber M.R. Two-sample randomization tests for space-time clustering. Biometrics 1971, 27(1):129-142. 10.2307/2528932.
22. Klauber M.R., Mustacchi P. Space-time clustering of childhood leukemia in San Francisco. Cancer Research 1970, 30(7):1969-1973.
23. Knox E., Bartlett M. The detection of space-time interactions. Journal of the Royal Statistical Society Series C (Applied Statistics) 1964, 13(1):25-30.
24. Knox E., Gilman E. Leukaemia clusters in Great Britain. 1. Space-time interactions. Journal of Epidemiology and Community Health 1992, 46(6):566-572.
25. Kulldorff M. Prospective time periodic geographical disease surveillance using a scan statistic RID H-4282-2011. Journal of the Royal Statistical Society Series a-Statistics in Society 2001, 164:61-72. 10.1111/1467-985X.00186.
26. Kulldorff M., Athas W., Feuer E., Miller B., Key C. Evaluating cluster alarms: A space-time scan statistic and brain cancer in Los Alamos, New Mexico RID H-4282-2011. American Journal of Public Health 1998, 88(9):1377-1380. 10.2105/AJPH.88.9.1377.
27. Kulldorff M., Heffernan R., Hartman J., Assuncao R., Mostashari F. A space-time permutation scan statistic for disease outbreak detection RID H-4282-2011. PLOS Medicine 2005, 2(3):216-224. 10.1371/journal.pmed.0020059.
28. Kulldorff M., Hjalmars U. The Knox method and other tests for space-time interaction. Biometrics 1999, 55(2):544-552.
29. Lloyd S., Roberts C.J. A test for space clustering and its application to congenital limb defects in Cardiff. British Journal of Preventive & Social Medicine 1973, 27(3):188-191.
30. Mantel N. The detection of disease clustering and a generalized regression approach. Cancer Research 1967, 27(2 Part 1):209-220.
31. McNally R.J.Q., Rankin J., Shirley M.D.F., Rushton S.P., Pless-Mulloli T. Space-time analysis of Down syndrome: Results consistent with transient pre-disposing contagious agent. International Journal of Epidemiology 2008, 37(5):1169-1179. 10.1093/ije/dyn083.
32. Meighan S.S., Knox G. Leukemia in childhood: Epidemiology in Oregon. Cancer 1965, 18(7):811-814. 10.1002/1097-0142(196507)18:7<811::AID-CNCR2820180706>3.0.CO;2-0.
33. Mennis J. Multidimensional map algebra: Design and implementation of a spatio-temporal GIS processing language. Transactions in GIS 2010, 14(1):1-21. 10.1111/j.1467-9671.2009.01179.x.
34. Mielke P.W. Clarification and appropriate inferences for Mantel and Valand's nonparametric multivariate analysis technique. Biometrics 1978, 34(2):277-282. 10.2307/2530017.
35. Miller H.J. Measuring space-time accessibility benefits within transportation networks: Basic theory and computational procedures. Geographical Analysis 1999, 31(2):187-212. 10.1111/j.1538-4632.1999.tb00976.x.
36. Moons, E., Brijs, T., & Wets, G. (2009). Identifying hazardous road locations: Hot spots versus hot zones. In M. Gavrilova & C. Tan (Eds.), Transactions on Computational Science VI, Lecture Notes in Computer Science (Vol. 5730, pp. 288-300). Berlin/Heidelberg: Springer. http://www.springerlink.com/content/2344287hm70848q3/abstract/.
37. Mountrakis G., Gunson K. Multi-scale spatiotemporal analyses of moose-vehicle collisions: A case study in northern Vermont. International Journal of Geographical Information Science 2009, 23:1389-1412. 10.1080/13658810802406132.
38. Nakaya T., Yano K. Visualising crime clusters in a space-time cube: An exploratory data-analysis approach using space-time kernel density estimation and scan statistics. Transactions in GIS 2010, 14(3):223-239. 10.1111/j.1467-9671.2010.01194.x.
39. Okabe A., Okunuki K., Shiode S. SANET: A toolbox for spatial analysis on a network. Geographical Analysis 2006, 38:57-66.
40. Okabe A., Satoh T. Uniform network transformation for point pattern analysis on a non-uniform network. Journal of Geographical Systems 2006, 8:25-37.
41. Okabe A., Satoh T., Sugihara K. A kernel density estimation method for networks, its computational method and a GIS-based tool. International Journal of Geographical Information Science 2009, 23(1):7-32. 10.1080/13658810802475491.
42. Okabe A., Yamada I. The K-function method on a network and its computational implementation. Geographical Analysis 2001, 33(3):271-290. 10.1111/j.1538-4632.2001.tb00448.x.
43. Okabe A., Yomono H., Kitamura M. Statistical analysis of the distribution of points on a network. Geographical Analysis 1995, 27(2):152-175.
44. Okabe A., Yoshikawa T., Fujii A., Oikawa K. The statistical analysis of a distribution of activity points in relation to surface-like elements. Environment and Planning A 1988, 20(5):609-620. 10.1068/a200609.
45. Okunuki K., Okabe A. Solving the huff-based competitive location model on a network with link-based demand. Annals of Operations Research 2002, 111:239-252.
46. Pei T., Zhou C., Zhu A.-X., Li B., Qin C. Windowed nearest neighbour method for mining spatio-temporal clusters in the presence of noise. International Journal of Geographical Information Science 2010, 24:925-948. 10.1080/13658810903246155.
47. Pinder D.A., Witherick M.E. Nearest-neighbour analysis of linear point patterns. Tijdschrift voor economische en sociale geografie 1973, 64(3):160-163. 10.1111/j.1467-9663.1973.tb00077.x.
48. Roberts C.J., Laurence K.M., Lloyd S. An investigation of space and space-time clustering in a large sample of infants with neural tube defects born in Cardiff. British Journal of Preventive and Social Medicine 1975, 29(3):202-204.
49. Rogerson P.A. Monitoring point patterns for the development of space-time clusters. Journal of the Royal Statistical Society Series A (Statistics in Society) 2001, 164(1):87-96.
50. Schmertmann C.P., Assuncao R.M., Potter J.E. Knox meets Cox: Adapting epidemiological space-time statistics to demographic studies. Demography 2010, 47(3):629-650.
51. Shiode S. Analysis of a distribution of point events using the network-based quadrat method. Geographical Analysis 2008, 40(4):380-400. 10.1111/j.0016-7363.2008.00735.x.
52. Shiode S., Shiode N. Detection of multi-scale clusters in network space. International Journal of Geographical Information Science 2009, 23:75-92. 10.1080/13658810801949843.
53. Sidak Z. Rectangular confidence regions for the means of multivariate normal distributions. Journal of the American Statistical Association 1967, 62(318):626-633. 10.2307/2283989.
54. Siemiatycki J. Mantel's space-time clustering statistic: Computing higher moments and a comparison of various data transforms. Journal of Statistical Computation and Simulation 1978, 7:13-31. 10.1080/00949657808810206.
55. Simes R.J. An improved Bonferroni procedure for multiple tests of significance. Biometrika 1986, 73(3):751-754. 10.2307/2336545.
56. Smith P.G., Pike M.C., Till M.M., Hardisty R.M. Epidemiology of childhood leukaemia in greater London: A search for evidence of transmission assuming a possibly long latent period. British Journal of Cancer 1976, 33(1):1-8.
57. Thomas I. Spatial data aggregation: Exploratory analysis of road accidents. Accident Analysis & Prevention 1996, 28(2):251-264. 10.1016/0001-4575(95)00067-4.
58. Upton G., Fingleton B. Spatial data analysis by example 1985, Wiley, Chichester.
59. von Neumann J. Distribution of the ratio of the mean square successive difference to the variance. The Annals of Mathematical Statistics 1941, 12(4):367-395.
60. Weather Underground (2009). Weather History for Columbus, OH. http://www.wunderground.com.
61. Williams G. Time-space clustering of disease. Statistical methods for cancer studies 1984, 479. Marcel Dekker, Inc, New York. R. Cornell (Ed.).
62. Yamada I., Thill J. Local indicators of network-constrained clusters in spatial point patterns. Geographical Analysis 2007, 39(3):268-292. 10.1111/j.1538-4632.2007.00704.x.
63. Yamada I., Thill J. Local indicators of network-constrained clusters in spatial patterns represented by a link attribute. Annals of the Association of American Geographers 2010, 100(2):269-285. 10.1080/00045600903550337.
64. Yamada I., Thill J.-C. Comparison of planar and network K-functions in traffic accident analysis. Journal of Transport Geography 2004, 12:149-158.
65. Young D.L. The linear nearest neighbour statistic. Biometrika 1982, 69(2):477-480. 10.2307/2335425.