Spatial uncertainty in cluster detection

Advances in GIS are increasingly focused on providing more sophisticated spatial analytical capabilities. Much of this work assumes no attribute and positional uncertainties in data. While there has been considerable research devoted to enhanced data creation techniques and metadata associated with error and uncertainty, little has been done to characterize or better understand error/uncertainty impacts in spatial analysis. This paper explores issues associated with the detection and significance of clusters under known positional uncertainty. Multiple equally likely data instances in which positional certainty is not assumed are assessed for existence of clusters. Results suggest that identified patterns can vary significantly when there is error or uncertainty in spatial data.

[1]  Toshiro Tango,et al.  Statistical Methods for Disease Clustering , 2010 .

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

[3]  Shane D. Johnson A brief history of the analysis of crime concentration , 2010, European Journal of Applied Mathematics.

[4]  Gary J. Hunter,et al.  Understanding error in spatial databases , 1992 .

[5]  Alan T. Murray,et al.  Spatially significant cluster detection , 2014 .

[6]  Shane D. Johnson,et al.  The Stability of Space-Time Clusters of Burglary , 2004 .

[7]  Kenneth D Mandl,et al.  Privacy protection versus cluster detection in spatial epidemiology. , 2006, American journal of public health.

[8]  A. Comber,et al.  Approaches to Uncertainty in Spatial Data , 2010 .

[9]  Paul V. Bolstad,et al.  Positional uncertainty in manually digitized map data , 1990, Int. J. Geogr. Inf. Sci..

[10]  Yee Leung,et al.  A Locational Error Model for Spatial Features , 1998, Int. J. Geogr. Inf. Sci..

[11]  A. T. Murray,et al.  Spatial Data Uncertainty and Cluster Detection , 2012 .

[12]  David J. Hand,et al.  Statistical Detection and Surveillance of Geographic Clusters , 2010 .

[13]  Thomas O Talbot,et al.  Positional error in automated geocoding of residential addresses , 2003, International journal of health geographics.

[14]  N. Mantel The detection of disease clustering and a generalized regression approach. , 1967, Cancer research.

[15]  Alan T. Murray,et al.  An Approach for Examining Alternatives Attributable to Locational Uncertainty , 2014 .

[16]  Alan T. Murray,et al.  A Hybrid Geocoding Methodology for Spatio‐Temporal Data , 2011, Trans. GIS.

[17]  Michael F. Goodchild,et al.  The accuracy of spatial databases , 1991 .

[18]  Jaymie R Meliker,et al.  Spatio-temporal epidemiology: principles and opportunities. , 2011, Spatial and spatio-temporal epidemiology.

[19]  Alan T. Murray,et al.  Exploratory Spatial Data Analysis Techniques for Examining Urban Crime , 2001 .

[20]  Lance A. Waller,et al.  The Effect of Uncertain Locations on Disease Cluster Statistics , 2008 .

[21]  Gerard B. M. Heuvelink,et al.  Error propagation in quantitative spatial modelling: Applications in geographical information systems , 1993 .

[22]  Roger Marshall,et al.  A Review of Methods for the Statistical Analysis of Spatial Patterns of Disease , 1991 .

[23]  A. Morris,et al.  A Framework for Modeling Uncertainty in Spatial Databases , 2003, Trans. GIS.

[24]  T E Carpenter,et al.  Techniques for analysis of disease clustering in space and in time in veterinary epidemiology. , 2000, Preventive veterinary medicine.

[25]  P. Zandbergen,et al.  Geocoding Accuracy Considerations in Determining Residency Restrictions for Sex Offenders , 2009 .

[26]  Harri T. Kiiveri,et al.  Assessing, Representing and Transmitting Positional Uncertainty in Maps , 1997, Int. J. Geogr. Inf. Sci..

[27]  Amy C Morrison,et al.  Characteristics of the spatial pattern of the dengue vector, Aedes aegypti, in Iquitos, Peru. , 2003, The American journal of tropical medicine and hygiene.

[28]  G. Jacquez A k nearest neighbour test for space-time interaction. , 1996, Statistics in medicine.

[29]  Michael Jerrett,et al.  Conceptual and practical issues in the detection of local disease clusters: a study of mortality in Hamilton, Ontario , 2002 .

[30]  F. E. Alexander,et al.  Space-time clustering of childhood acute lymphoblastic leukaemia: indirect evidence for a transmissible agent. , 1992, British Journal of Cancer.

[31]  Nicholas Malizia,et al.  The Effect of Data Inaccuracy on Tests of Space‐Time Interaction , 2013, Trans. GIS.

[32]  Alan T. Murray,et al.  Spatial Clustering Overview and Comparison: Accuracy, Sensitivity, and Computational Expense , 2014 .

[33]  Alan T. Murray,et al.  Exploring Spatial Patterns of Crime Using Non-hierarchical Cluster Analysis , 2013 .

[34]  Alan T. Murray Site placement uncertainty in location analysis , 2003, Comput. Environ. Urban Syst..

[35]  Gerard Rushton,et al.  Modeling the probability distribution of positional errors incurred by residential address geocoding , 2007 .

[36]  Tony H. Grubesic,et al.  Identifying irregularly shaped crime hot-spots using a multiobjective evolutionary algorithm , 2010, J. Geogr. Syst..

[37]  Jing Nie,et al.  Positional Accuracy of Geocoded Addresses in Epidemiologic Research , 2003, Epidemiology.

[38]  S. Guptill,et al.  Elements of Spatial Data Quality , 1995 .

[39]  G. Rushton,et al.  Geographically masking health data to preserve confidentiality. , 1999, Statistics in medicine.

[40]  MICHAEL F. GOODCHILD,et al.  A Simple Positional Accuracy Measure for Linear Features , 1997, Int. J. Geogr. Inf. Sci..

[41]  Richard J. Q. McNally,et al.  Clustering Studies for Identifying the Role of Environmental Factors in Aetiology of Human Cancers , 2010 .

[42]  Luc Anselin,et al.  The Spatial Patterning of County Homicide Rates: An Application of Exploratory Spatial Data Analysis , 1999 .

[43]  Kevin M. Curtin,et al.  POSITIONAL DISTORTION IN GEOGRAPHIC DATA SETS AS A BARRIER TO INTEROPERATION , 1998 .

[44]  M. Kulldorff A spatial scan statistic , 1997 .

[45]  Nicholas R. Chrisman,et al.  A THEORY OF CARTOGRAPHIC ERROR AND ITS MEASUREMENT IN DIGITAL DATA BASES , 2008 .

[46]  Geoffrey M Jacquez,et al.  Current practices in the spatial analysis of cancer: flies in the ointment , 2004, International journal of health geographics.

[47]  Wenzhong Shi A Generic Statistical Approach for Modelling Error of Geometric Features in GIS , 1998, Int. J. Geogr. Inf. Sci..

[48]  F. E. Alexander,et al.  Space-time clustering of childhood leukaemia in Greece: evidence supporting a viral aetiology. , 1996, British Journal of Cancer.

[49]  Tony H. Grubesic,et al.  On The Application of Fuzzy Clustering for Crime Hot Spot Detection , 2006 .

[50]  E. Knox,et al.  An epidemic pattern of murder. , 2002, Journal of public health medicine.

[51]  Kent A. Harries,et al.  Mapping Crime: Principle And Practice , 1999 .

[52]  Jaymie R. Meliker Approaches for Reconstructing Exposures Accounting for Human Mobility and Space-Time Variability in Environmental Contaminants , 2009 .

[53]  Martin Kulldorff,et al.  Statistical Methods for Spatial Epidemiology: Tests for Randomness , 1998 .

[54]  R. Gurgel-Gonçalves,et al.  Ecology, evolution, and the long-term surveillance of vector-borne Chagas disease: a multi-scale appraisal of the tribe Rhodniini (Triatominae). , 2009, Acta tropica.

[55]  Joanne S Colt,et al.  Positional Accuracy of Two Methods of Geocoding , 2005, Epidemiology.

[56]  Gerard Rushton,et al.  Geocoding in cancer research: a review. , 2006, American journal of preventive medicine.

[57]  Elizabeth A. Mack,et al.  Spatio-Temporal Interaction of Urban Crime , 2008 .

[58]  Geoffrey M. Jacquez,et al.  Spatial Cluster Analysis , 2008 .

[59]  Allan F Colver,et al.  Space-time clustering analyses of occurrence of cerebral palsy in Northern England for births 1991 to 2003. , 2008, Annals of epidemiology.