The mathematics of geographic profiling

We begin by describing some of the mathematical foundations of the geographic profiling problem. We then present a new mathematical framework for the geographic profiling problem based on Bayesian statistical methods that makes explicit connections between assumptions on offender behaviour and the components of the mathematical model. It also can take into account local geographic features that either influence the selection of a crime site or influence the selection of an offender's anchor point. Copyright © 2009 John Wiley & Sons, Ltd.

[1]  J. Ratcliffe.  A Temporal Constraint Theory to Explain Opportunity-Based Spatial Offending Patterns , 2006 .

[2]  James L. LeBeau,et al.  The methods and measures of centrography and the spatial dynamics of rape , 1987 .

[3]  K. Wittebrood,et al.  Burglary Victimization in England and Wales, the United States and the Netherlands: A Cross-National Comparative Test of Routine Activities and Lifestyle Theories , 2004 .

[4]  Denise R. Osborn,et al.  The Distribution of Household Property Crimes , 1998 .

[5]  Brent Snook,et al.  It’s no Riddle, Choose the Middle , 2007 .

[6]  C. D. Kemp,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[7]  Pekka Santtila,et al.  Predicting the residential location of a serial commercial robber. , 2006, Forensic science international.

[8]  Brent Snook,et al.  Geographic profiling - The debate continues: Ten problems with the Rossmo and Filer defence of computer profiling. , 2005 .

[9]  P. Brantingham,et al.  Nodes, paths and edges: Considerations on the complexity of crime and the physical environment , 1993 .

[10]  David V. Canter,et al.  The environmental range of serial rapists , 1993 .

[11]  Richard N Kocsis,et al.  A Further Assessment of “Circle Theory” for Geographic Psychological Profiling , 2002 .

[12]  W. Bernasco,et al.  How Do Residential Burglars Select Target Areas?: A New Approach to the Analysis of Criminal Location Choice , 2005 .

[13]  K. Manjunatha,et al.  Derivatives , 2006 .

[14]  David V. Canter,et al.  Predicting Serial Killers' Home Base Using a Decision Support System , 2000 .

[15]  G. Casella,et al.  Statistical Inference , 2003, Encyclopedia of Social Network Analysis and Mining.

[16]  P. Wilmott,et al.  The Mathematics of Financial Derivatives: Preface , 1995 .

[17]  Jacek Malczewski,et al.  Spatial Analysis of Residential Spatial Analysis of Residential Spatial Analysis of Residential Spatial Analysis of Residential Spatial Analysis of Residential Burglaries in London, Ontario Burglaries in London, Ontario Burglaries in London, Ontario Burglaries in London, Ontario Burglaries in London , 2004 .

[18]  Brent Snook,et al.  Shortcuts to Geographic Profiling Success: A Reply to Rossmo (2005). , 2005 .

[19]  Ned Levine,et al.  Bayesian Journey-to-Crime Estimation: An Improvement in Geographic Profiling Methodology , 2011 .

[20]  Michele Zito,et al.  On the Complexity and Accuracy of Geographic Profiling Strategies , 2005 .

[21]  Edward J. Beltrami,et al.  Mathematical Models in the Social and Biological Sciences , 1992 .

[22]  Brent Snook,et al.  Clinical versus Actuarial Geographic Profiling Strategies: A Review of the Research , 2007 .

[23]  A. Rukhin.  Bayes and Empirical Bayes Methods for Data Analysis , 1997 .

[24]  Rebecca Meaney,et al.  Commuters and marauders: an examination of the spatial behaviour of serial criminals , 2004 .

[25]  Brent Snook,et al.  Man versus machine: The case of geographic profiling. , 2005 .

[26]  W. Ewens.  Mathematical Population Genetics , 1980 .

[27]  Brent Snook,et al.  Predicting the home location of serial offenders: a preliminary comparison of the accuracy of human judges with a geographic profiling system. , 2002, Behavioral sciences & the law.

[28]  B. Worton.  Kernel methods for estimating the utilization distribution in home-range studies , 1989 .

[29]  Brent Snook,et al.  Individual differences in distance travelled by serial burglars , 2004 .

[30]  Brent Snook,et al.  Geographic Profiling: The Fast, Frugal, and Accurate Way , 2004 .

[31]  D. Kim Rossmo,et al.  Geographic heuristics or shortcuts to failure?: response to Snook et al. , 2005 .