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Crime Analysis at Multiple Scales of Aggregation: A Topological Approach

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Putting Crime in its Place

Abstract

Patterns in crime vary quite substantially at different scales of aggregation, in part because data tend to be organized around standardized, artificially defined units of measurement such as the census tract, the city boundary, or larger administrative or political boundaries. The boundaries that separate units of data often obscure the detailed spatial patterns and muddy analysis. These aggregation units have an historic place in crime analysis, but increasing computational power now makes it possible to start with very small units of analysis and to build larger units based on theoretically defined parameters. This chapter argues for a crime analysis that begins with a small spatial unit, in this case individual parcels of land, and builds larger units that reflect natural neighborhoods. Data are limited in these small units at this point in time, but the value of starting with very small units is substantial. An algorithm based on analysis of land unit to unit similarity using fuzzy topology is presented. British Columbia (BC) data are utilized to demonstrate how crime patterns follow the fuzzy edges of certain neighborhoods, diffuse into permeable neighborhoods, and concentrate at selected high activity nodes and along some major streets. Crime patterns that concentrate on major streets, at major shopping centers and along the edges of neighborhoods would be obscured, at best, and perhaps missed altogether if analysis began with larger spatial units such as census tracts or politically defined neighborhood areas.

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References

  • Adderley, R. (2004). The use of data mining techniques in operational crime fighting. Intelligence and Security Informatics. Second Symposium on Intelligence and Security Informatics, Tucson, AZ, USA, June 10–11, 2004. Proceedings.

    Google Scholar 

  • Bafna, S. (2003). SPACE SYNTAX A brief introduction to its logic and analytical techniques. Environment and Behavior, 35(1), 17–29.

    Article  Google Scholar 

  • Beavon, D. J. K., Brantingham, P. L., & Brantingham, P. J. (1994). The influence of street networks on the patterning of property offenses. Crime Prevention Studies, 2, 115–148.

    Google Scholar 

  • Bennett, T., & Wright, R. (1984). Burglars on burglary: Prevention and the offender. Brookfield, Vermont: Gower Publishing Company.

    Google Scholar 

  • Bittner, T. (2001). The qualitative structure of built environments. Fundamenta Informaticae 46, 97–128.

    Google Scholar 

  • Brantingham, P. J., & Brantingham, P. L. (1977). Housing patterns and burglary in a medium-sized American city. In: J. Scott & S. Dinitz (Eds.), Criminal justice planning (pp. 63–74). New York: Praeger.

    Google Scholar 

  • Brantingham, P. J., & Brantingham, P. L. (1984). Patterns in crime. New York: Macmillan.

    Google Scholar 

  • Brantingham, P. J., Dyreson, D. A., & Brantingham, P. L. (1976). Crime seen through a cone of resolution. American Behavioral Scientist, 20, 261–273.

    Article  Google Scholar 

  • Brantingham, P. L., & Brantingham, P. J. (1978). A topological technique for regionalization. Environment and Behavior, 10, 335–353.

    Article  Google Scholar 

  • Brantingham, P. L., & Brantingham, P. J. (1993a). Environment, routine and situation: Toward a pattern theory of crime. Advances in Criminological Theory, 5, 259–294.

    Google Scholar 

  • Brantingham, P. L., & Brantingham, P. J. (1993b). Nodes, paths and edges: Considerations on the complexity of crime and the physical environment. Journal of Environmental Psychology, 13, 3–28.

    Article  Google Scholar 

  • Brantingham, P. L., & Brantingham, P. J. (1995). Criminality of place: Crime generators and crime attractors. European Journal on Criminal Policy and Research, 3, 5–26.

    Article  Google Scholar 

  • Brantingham, P. L., & Brantingham, P. J. (2004). Computer simulation as a tool for environmental criminologists. Security Journal, 17(1), 21–30.

    Article  Google Scholar 

  • Brantingham, P. L., & Brantingham, P. J. (2008). The rules of crime pattern theory. In: R. Wortley, L. Mazerolle, & S. Rombouts (Eds.), Environmental criminology and crime analysis. Devon, UK: Willan Publishing.

    Google Scholar 

  • Brantingham, P. L., Brantingham, P. J., & Glässer, U. (2005). Computer simulation as a research tool in criminology and criminal justice. Criminal Justice Matters, 58, 19–20.

    Google Scholar 

  • Brantingham, P. L., Glässer, U., Kinney, B., Singh, K., & Vajihollahi, M. (2005). A computational model for simulating spatial aspects of crime in urban environments. Proceedings of the IEEE international conference on systems, man and cybernetics (pp. 3667–3674). Hawaii, October 2005.

    Google Scholar 

  • Brown, D. (1998). The Regional Crime Analysis Program (ReCAP): a framework for mining data to catch criminals. Proceedings of the 1998 IEEE international conference on systems, man and cybernetics, 3, 2848–2853.

    Google Scholar 

  • Clarke, R. V. G., & Hope, T. (1984). Coping with burglary: Research perspectives on policy. Boston: Kluwer-Nijhoff.

    Google Scholar 

  • Costanzo, C. M., Halperin, W. C., & Gale, N. (1986). Criminal mobility and the directional component in journeys to crime. In R. M. Figlio, S. Hakim, & G. F. Rengert (Eds.) Metropolitan Crime Patterns. (pp. 73–95). Monsey, New York: Criminal Justice Press.

    Google Scholar 

  • Cromwell, P. F., Olson, J. N., & Avary, D. W. (1991). Breaking and entering: An ethnographic analysis of burglary. Newbury Park, CA: Sage Publications.

    Google Scholar 

  • Elffers, H. (2003). Analysing neighbourhood influence in criminology. Statistica Neerlandica, 57(3), 347–367.

    Article  Google Scholar 

  • Groff, E. R. (2007). Simulation for theory testing and experiments: An example using routine activity theory and street robbery. Journal of Quantitative Criminology, 23(2), 75–103.

    Article  Google Scholar 

  • Haq, S., & Zimring, G. (2003). Just down the road a piece: The development of topological knowledge of building layouts. Environment and Behavior, 35(1), 132–160.

    Article  Google Scholar 

  • Li, Y., & Li, S. (2004). A fuzzy sets theoretic approach to approximate spatial reasoning. IEEE Transactions on Fuzzy Systems, 12(6), 745–754.

    Article  Google Scholar 

  • Lim, M., Metzler, R., & Bar-Yam, Y. (2007). Global pattern formation and ethnic/cultural violence. Science, 317, 1540–1544.

    Article  Google Scholar 

  • Liu, K., & Shi, W. (2006). Computing the fuzzy topological relations of spatial objects based on induced fuzzy topology. International Journal of Geographical Information Science, 20(8), 857–883.

    Article  Google Scholar 

  • Liu, L., Wang, X., Eck, J., & Liang, J. (2005). Simulating crime events and crime patterns in a RA/CA model. In: F. Wang (Ed.), Geographic information systems and crime analysis (pp. 197–213). Reading, PA: Idea Publishing.

    Google Scholar 

  • Lynch, K. (1960). The image of the city. Cambridge, Massachusetts: MIT Press.

    Google Scholar 

  • McCord, E. S., Ratcliffe, J. H., Garcia, R. M., & Taylor, R. B. (2007). Nonresidential crime attractors and generators elevate perceived neighborhood crime and incivilities. Journal of Research in Crime and Delinquency, 44(3), 295–320.

    Article  Google Scholar 

  • Pyle, G. F. (1974). The spatial dynamics of crime. Chicago: Department of Geography, University of Chicago.

    Google Scholar 

  • Quetelet, L. A. J. (1842). A treatise on man and the development of his faculties. Edinburgh: W & R Chambers.

    Google Scholar 

  • Ratcliffe, J. H. (2006). A temporal constraint theory to explain opportunity-based spatial offending patterns. Journal of Research in Crime and Delinquency, 43(3), 261–291.

    Article  Google Scholar 

  • Rengert, G. F., & Wasilchick, J. (2000). Suburban burglary: A tale of two suburbs. Springfield, IL: C.C. Thomas.

    Google Scholar 

  • Schmid, C. (1960a). Urban crime areas – Part I. American Sociological Review, 25, 527–543.

    Article  Google Scholar 

  • Schmid, C. (1960b). Urban crime areas – Part II. American Sociological Review, 25, 655–678.

    Article  Google Scholar 

  • Shaw, C., & McKay, H. D. (1942). Delinquency and Urban Areas. Chicago: University of Chicago Press.

    Google Scholar 

  • Townsley, M., Homel, R., & Chaseling, J. (2003). Infectious burglaries: A test of the near repeat hypothesis. British Journal of Criminology, 43, 615–633.

    Google Scholar 

  • WAAG Society. (2007). Amsterdam real time project. http://realtime.waag.org. Accessed November 27, 2007.

  • Waller, I., & Okihiro, N. (1978). Burglary: The victim and the public. Toronto: University of Toronto Press.

    Google Scholar 

  • Weisburd, D., Bushway, S., Lum, C., & Yang, S.-U. (2004). Trajectories of crime at places: A longitudinal study of street segments in the city of Seattle. Criminology, 42(2), 283–321.

    Article  Google Scholar 

  • Wikström, P. O., & Butterworth, D. A. (2006). Adolescent crime: Individual differences and lifestyles. Portland: Willan Publishing.

    Google Scholar 

  • Wilcox, S. (1973). The geography of robbery. [The Prevention and Control of Robbery, Vol. 3]. Davis: The Center of Administration of Justice, University of California at Davis.

    Google Scholar 

  • Winter, S. (1998). Location-based similarity measures of regions. In: D. Fritsch, M. Englich, & M. Sester (Eds.), ISPRS Commission IV Symposium “GIS Between Visions and Applications” (Vol. 32(4), pp. 669–676). International Archives of Photogrammetry and Remote Sensing, Stuttgart, Germany.

    Google Scholar 

  • Xue, Y., & Brown, D. E. (2006). Spatial analysis with preference specification of latent decision makers for criminal event prediction. Decision Support Systems, 41(3), 560–573.

    Article  Google Scholar 

  • Yeung, D., Chen, C., Tsang, E., & Lee, J. (2005). On the generalization of fuzzy rough sets. IEEE Transactions on Fuzzy Systems, 13(3), 343–361.

    Article  Google Scholar 

  • Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.

    Article  Google Scholar 

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Brantingham, P.L., Brantingham, P.J., Vajihollahi, M., Wuschke, K. (2009). Crime Analysis at Multiple Scales of Aggregation: A Topological Approach. In: Weisburd, D., Bernasco, W., Bruinsma, G.J. (eds) Putting Crime in its Place. Springer, New York, NY. https://doi.org/10.1007/978-0-387-09688-9_4

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