Local Indicators of Network-Constrained Clusters in Spatial Patterns Represented by a Link Attribute

Annals of the Association of American Geographers

Volumn 100, Issue 2, 2010, Pages 269-285

  Yamada, Ikuho ^a   Thill, Jean Claude ^b  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

Author keywords

Cluster detection; Local Moran and Getis Ord statistics; Local scale analysis; Network space; Vehicle crashes

Indexed keywords

AUTOCORRELATION; CLUSTER ANALYSIS; COLLISION; DETECTION METHOD; NETWORK ANALYSIS; SPATIAL ANALYSIS;

BUFFALO; NEW YORK [UNITED STATES]; UNITED STATES;

EID: 77951242989     PISSN: 00045608     EISSN: 14678306     Source Type: Journal    
DOI: 10.1080/00045600903550337     Document Type: Article

References (63)

1. Anselin, L. 1995. Local indicators of spatial association-LISA. Geographical Analysis 27 (2): 93-115.
2. Assunção, R. M., and E. A. Reid. 1999. A new proposal to adjust Moran's Ifor population density. Statistics in Medicine 18:2147-62.
3. Berglund, S., and A. Karlström. 1999. Identifying local spatial association in flow data. Journal of Geographical Systems 1:219-36.
4. Bernhardt, K. L. S., and M. R. Virkler. 2002. Improving the identification, analysis and correction of high-crash locations. ITE Journal 72 (1): 38-42.
5. Besag, J., and J. Newell. 1991. The detection of clusters in rare diseases. Journal of Royal Statistical Society A 154 (1): 143-55.
6. Black, W. R. 1991. Highway accidents: A spatial and temporal analysis. Transportation Research Record 1318: 75-82.
7. Black, W. R. 1992. Network autocorrelation in transport network and flow systems. Geographical Analysis 24 (3): 207-22.
8. Black, W. R., and I. Thomas. 1998. Accidents in Belgium's motorways: A network autocorrelation analysis. Journal of Transport Geography 6 (1): 23-31.
9. Bland, J. M., and D. G. Altman. 1995. Multiple significance tests: The Bonferroni method. BMJ 310:170.
10. Boots, B., and A. Okabe. 2007. Local statistical spatial analysis: Inventory and prospect. International Journal of Geographical Information Science 21 (3-4): 355-75.
11. Clark, P. J., and F. C. Evans. 1954. Distance to nearest neighbor as a measure of spatial relationships in population. Ecology 35 (4): 445-53.
12. Delmelle, E. C., and J.-C. Thill. 2008. Urban bicyclists: A spatial analysis of adult and youth traffic hazard intensity. Transportation Research Record 2074:31-39.
13. Diggle, P., S. Morris, P. Elliot, and G. Shaddick. 1997. Regression modeling of disease risk in relation to point sources. Journal of the Royal Statistical Society Series A 160:491-505.
14. Diggle, P., and B. Rowlingson. 1994. A conditional approach to point process modeling of elevated risk. Journal of the Royal Statistical Society A 157:433-40.
15. Falk, T., and R. Abler. 1980. Intercommunications, distance, and geographical theory. Geografiska Annaler B 62:59-67.
16. Flahaut, B., M. Mouchart, E. S. Martin, and I. Thomas. 2003. The local spatial autocorrelation and the kernel method for identifying black zones: A comparative approach. Accident Analysis and Prevention 35:991-1004.
17. Fotheringham, A. S. 1997. Trends in quantitative methods I: Stressing the local. Progress in Human Geography 21:88-96.
18. Fotheringham, A. S., C. Brunsdon, and M. Charlton. 2000. Quantitative geography: Perspectives on spatial data analysis. Thousand Oaks, CA: Sage.
19. Gatrell, A. C. 1983. Distance and space: A geographical perspective. Oxford, UK: Clarendon.
20. Geary, R. C. 1954. The contiguity ratio and statistical mapping. The Incorporated Statistician 5 (3): 115-45.
21. Getis, A., and J. Franklin. 1987. Second-order neighborhood analysis of mapped point patterns. Ecology 68 (3): 473-77.
22. Getis, A., and J. K. Ord. 1992. The analysis of spatial association by use of distance statistics. Geographical Analysis 24 (3): 189-206.
23. Geurts, K., G. Wets, T. Brijs, and K. Vanhoof. 2004. Identification and ranking of black spots: Sensitivity analysis. Transportation Research Record 1897:34-42.
24. Goodchild, M. F. 1986. Spatial autocorrelation. Concepts and Techniques in Modern Geography, No. 47. Norwich, UK: Geobooks.
25. Hakkert, A. S., and D. Mahalel. 1978. Estimating the number of accidents at intersections from a knowledge of the traffic flows on the approaches. Accident Analysis & Prevention 10 (1): 69-79.
26. Hallmark, S. L., R. Basavaraju, and M. Pawlovich. 2002. Evaluation of the Iowa DOT's safety improvement candidate list process. Ames: Center for Transportation Research and Education, Iowa State University. http://www. ctre.iastate.edu/reports/SafetyCandidate.pdf (last accessed 1 February 2009).
27. Jegede, F. J. (1988). Spatio-temporal analysis of road traffic accidents in Oyo State, Nigeria. Accident Analysis & Prevention 20 (3): 227-43.
28. Khisty, C. J. 1990. Transportation engineering: An introduction. Englewood Cliffs, NJ: Prentice-Hall.
29. Kulldorff, M., and N. Nagarwalla. 1995. Spatial disease clusters: Detection and inference. Statistics in Medicine 14:799-810.
30. Lawson, A. 1993. On the analysis of mortality events around a prespecified point. Journal of the Royal Statistical Society Series A 156:363-77.
31. Lawson, A. 2001. Statistical methods in spatial epidemiology. New York: Wiley.
32. Mahalel, D., A. S. Hakkert, and J. N. Prashker. 1982. A system for the allocation of safety resources on a road network. Accident Analysis & Prevention 14 (1): 45-56.
33. McGuigan, D. R. D. 1981. The use of relationships between road accidents and traffic flow in "black-spot" identification. Traffic Engineering and Control 22:448-53.
34. Miller, H. J. 1994. Market area delimitation within networks using geographic information systems. Geographical Systems 1:157-73.
35. Miller, H. J., and E. A. Wentz. 2003. Representation and spatial analysis in geographic information systems. Annals of the Association of American Geographers 93 (3): 574-94.
36. Moran, P. A. P. 1948. The interpretation of statistical maps. Journal of the Royal Statistical Society Series B 10 (2): 243-51.
37. New York State Department of Transportation (NYSDOT). 2000. Safety investigation procedure manual. Albany: New York State Department of Transportation.
38. Nyerges, T. 1990. Locational referencing and highway segmentation in a geographic information system. ITE Journal 60 (3): 27-31.
39. Oden, N. 1995. Adjusting Moran's I for population density. Statistics in Medicine 14:17-26.
40. Ogden, K. W. 1996. Safer roads: A guide to road safety engineering. Burlington, VT: Ashgate.
41. Okabe, A., and M. Kitamura. 1996. A computational method for market area analysis on a network. Geographical Analysis 28 (4): 330-49.
42. Okabe, A., and K. Okunuki. 2001. A computational method for estimating the demand of retail stores on a street network using GIS. Transactions in GIS 5 (3):209-20.
43. Okabe, A., and T. Satoh. 2005. Uniform network transformation for points pattern analysis on a non-uniform network. Journal of Geographical Systems 8:25-37.
44. Okabe, A., and I. Yamada. 2001. The K-function method on a network and its computational implementation. Geographical Analysis 33 (3): 271-90.
45. Okabe, A., H. Yomono, and M. Kitamura. 1995. Statistical analysis of the distribution of points on a network. Geographical Analysis 27 (2): 152-75.
46. Openshaw, S., M. Charlton, C. Wymer, and A. Craft. 1987. A Mark 1 geographical analysis machine for the automated analysis of point data set. International Journal of Geographical Information Systems 1:335-58.
47. Ord, J. K., and A. Getis. 1995. Local spatial autocorrelation statistics: Distribution issues and an application. Geographical Analysis 27 (4): 286-306.
48. Pulugurtha, S. S., V. K. Krishnakumar, and S. S. Nambisan. 2007. New methods to identify and rank high pedestrian crash zones: An illustration. Accident Analysis & Prevention 39 (4): 800-11.
49. Ripley, B. D. 1976. The second-order analysis of stationary point process. Journal of Applied Probability 13:255-66.
50. Rogerson, P. A. 2001. A statistical method for the detection of geographic clustering. Geographical Analysis 33 (3): 215-27.
51. Sack, R. 1980. Conceptions of geographic space. Progress in Human Geography 4:315-45.
52. Steenberghen, T., T. Dufays, I. Thomas, and B. Flahaut. 2004. Intra-urban location and clustering of road accidents using GIS: A Belgian example. International Journal of Geographical Information Science 18 (2): 169-81.
53. Stone, R. A. 1988. Investigations of excess environmental risks around putative sources: Statistical problems and a proposed test. Statistics in Medicine 7:649-60.
54. Tango, T. 1995. A class of tests for detecting "general" and "focused" clustering of rare diseases. Statistics in Medicine 14:2323-34.
55. Thomas, R. W. 1977. An introduction to quadrat analysis. Concepts and Techniques in Modern Geography, No. 12. Norwich, UK: Geo Abstracts.
56. Tiefelsdorf, M. 1998. Some practical applications of Moran's I's exact conditional distribution. Papers in Regional Science 77 (2): 101-29.
57. Tiefelsdorf, M., and B. Boots. 1997. A note on the extremities of local Moran's Ii s and their impact on global Moran's I. Geographical Analysis 29 (3): 248-57.
58. Turnbull, B. W., E. J. Iwano, W. S. Burnett, H. J. Howe, and L. C. Clark. 1990. Monitoring for clusters of disease: Application to leukemia incidence in upstate New York. American Journal of Epidemiology 132 (1): 136-43.
59. Waldhör, T. 1996. The spatial autocorrelation coefficient Moran's I under heteroscedasticity. Statistics in Medicine 15:887-92.
60. Waller, L., and C. Gotway. 2004. Applied spatial statistics for public health data. New York: Wiley.
61. Xie, Z., and J. Yan. 2008. Kernel density estimation of traffic accidents in a network space. Computers, Environment and Urban Systems 32 (5): 396-406.
62. Yamada, I., and J.-C. Thill. 2004. Comparison of planar and network K-functions in traffic accident analysis. Journal of Transport Geography 12:149-58.
63. Yamada, I., and J.-C. Thill. 2007. Local indicators of network-constrained clusters in spatial point patterns. Geographical Analysis 39 (3): 268-92.