Assessing the Cluster Correspondence between Paired Point Locations

Some complex geographic events are associated with multiple point locations. Such events include, but are not limited to, those describing linkages between and among places. The term multi-location event is used in the paper to refer to these geographical phenomena. Through formalization of the multi-location event problem, this paper situates the analysis of multi-location events within the broad context of point pattern analysis techniques. Two alternative approaches (vector autocorrelation analysis and cluster correspondence analysis) to the spatial dependence of pairedlocation events (i.e., two-location events) are explored, with a discussion of their appropriateness to general multi-location event problems. The research proposes a framework of cluster correspondence analysis for the detection of local non-stationarities in the spatial process generating multi-location events. A new algorithm for local analysis of cluster correspondence is proposed. It is implemented on a large-scale dataset of vehicle theft and recovery location pairs in Buffalo, New York.

[1]  R. Clarke Situational Crime Prevention: Its Theoretical Basis and Practical Scope , 1983 .

[2]  N. Morris,et al.  Crime and justice : an annual review of research , 1980 .

[3]  W. FelicityA.,et al.  Spatial Interaction Modelling on theConnection Machine 200 , 1994 .

[4]  Arthur Getis,et al.  Models of spatial processes : an approach to the study of point, line, and area patterns , 1979 .

[5]  Arthur Getis,et al.  Point pattern analysis , 1985 .

[6]  Martin Charlton,et al.  A Mark 1 Geographical Analysis Machine for the automated analysis of point data sets , 1987, Int. J. Geogr. Inf. Sci..

[7]  George F. Rengert,et al.  Suburban Burglary: A Time and a Place for Everything. , 1987 .

[8]  Evelyn Fix,et al.  Random points in a circle and the analysis of chromosome patterns , 1963 .

[9]  Julian Besag,et al.  The Detection of Clusters in Rare Diseases , 1991 .

[10]  Borden D. Dent,et al.  Atlas of Crime: Mapping the Criminal Landscape , 2000 .

[11]  Robert R. Sokal,et al.  Directional Autocorrelation: An Extension of Spatial Correlograms to Two Dimensions , 1986 .

[12]  J. Thill,et al.  Spatial interaction modelling , 2003 .

[13]  Morton E. O'Kelly,et al.  Spatial Interaction Models:Formulations and Applications , 1988 .

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

[15]  Peter J. Diggle,et al.  Statistical analysis of spatial point patterns , 1983 .

[16]  R. M. Cormack,et al.  Spatial Data Analysis by Example. Volume 1: Point Pattern and Quantitative Data , 1985 .

[17]  Dennis W. Roncek,et al.  BARS, BLOCKS, AND CRIMES REVISITED: LINKING THE THEORY OF ROUTINE ACTIVITIES TO THE EMPIRICISM OF “HOT SPOTS”* , 1991 .

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

[19]  D. Griffith,et al.  Explorations into the Relationship between Spatial Structure and Spatial Interaction , 1980 .

[20]  Heith Copes,et al.  ROUTINE ACTIVITIES AND MOTOR VEHICLE THEFT: A CRIME SPECIFIC APPROACH , 1999 .

[21]  A. Fotheringham SPATIAL STRUCTURE AND DISTANCE‐DECAY PARAMETERS , 1981, Annals of the Association of American Geographers.

[22]  Simon Hakim,et al.  Metropolitan Crime Patterns , 1986 .

[23]  Anders Karlström,et al.  Identifying local spatial association in flow data , 1999, J. Geogr. Syst..

[24]  Alan T. Murray,et al.  Cluster Discovery Techniques for Exploratory Spatial Data Analysis , 1998, Int. J. Geogr. Inf. Sci..

[25]  Anthony Sorensen,et al.  A METHOD FOR MEASURING THE SPATIAL ASSOCIATION BETWEEN POINT PATTERNS , 1974 .

[26]  M. Charlton,et al.  Quantitative geography : perspectives on spatial data analysis by , 2001 .