Stability of the surface generated from distributed points of uncertain location

References

• ALEXANDER , F. E. and BOYLE , P. 1996 . Methods for Investigating Localized Clustering of Disease , Lyon, , France : International Agency for Research on Cancer .
   Google Scholar
• BAILEY , T. C. 1994 . “ A review of statistical spatial analysis in geographical information systems ” . In Spatial Analysis and GIS , Edited by: Fotheringham , S. and Rogerson , P. 13 – 44 . London : Taylor & Francis .
   Google Scholar
• BAILEY , T. C. and GATRELL , A. C. 1995 . Interactive Spatial Data Analysis , London : Taylor & Francis .
   Google Scholar
• BONHAM-CARTER , G. F. 1994 . Geographic Information Systems for Geoscientists , Oxford : Pergamon .
   Google Scholar
• BRACKEN , I. 1993 . An extensive surface model database for population-related information: concept and application . Environment and Planning B , 20 : 13 – 27 .
   Google Scholar
• BRACKEN , I. and MARTIN , D. 1989 . The generation of spatial population distributions from Census centroid data . Environment and Planning A , 21 : 537 – 543 .
   PubMed Web of Science ®Google Scholar
• BRANTINGHAM , P. J. and BRANTINGHAM , P. L. 1981 . Environmental Criminology , Prospect Heights, Illinois : Waveland Press .
   Google Scholar
• BURROUGH , P. A. and FRANK , A. U. 1996 . Geographic Objects with Indeterminate Boundaries , London : Taylor & Francis .
   Google Scholar
• BURROUGH , P. A. and McDONNELL , R. A. 1998 . Principles of Geographical Information Systems , New York : Oxford University Press .
   Google Scholar
• CHRISMAN , N. R. 1982 . Methods of Spatial Analysis Based on Error in Categorical Maps , University of Bristol . PhD thesis
   Google Scholar
• CHRISMAN , N. R. A theory of cartographic error and its measurement in digital data bases . Proceedings of AUTO-CARTO . Vol. 5 , pp. 159 – 168 . Falls Church, VA : American Congress on Surveying and Mapping .
   Google Scholar
• CRESSIE , N. 1993 . Statistics for Spatial Data , New York : John Wiley & Sons .
   Google Scholar
• DAVIS , T. J. and KELLER , C. P. 1997 . Modelling and visualizing multiple spatial uncertainties . Computers & Geosciences , 23 : 397 – 408 .
   Web of Science ®Google Scholar
• DUNN , R. , HARRISON , A. R. and WHITE , J. C. 1990 . Positional accuracy and measurement error in digital databases of land use: an empirical study . International Journal of Geographical Information Systems , 4 : 385 – 398 .
   Google Scholar
• FOTHERINGHAM , A. S. , BRUNSDON , C. and CHARLTON , M. 2000 . Quantitative Geography , London : Sage .
   Google Scholar
• GOLDSMITH , V. , McGUIRE , P. G. , MOLLENKOPF , J. H. and Ross , T. A. 2000 . Analyzing Crime Patterns , Thousand Oaks : Sage .
   Google Scholar
• GOODCHILD , M. F. 1989 . “ Modeling error in objects and fields ” . In Accuracy of Spatial Databases , Edited by: Goodchild , M. and Gopal , S. 107 – 113 . London : Taylor & Francis .
   Google Scholar
• GOODCHILD , M. and GOPAL , S. 1989 . The Accuracy of Spatial Databases , London : Taylor & Francis .
   Google Scholar
• HEUVELINK , G. B. M. 1998 . Error Propagation in Environmental Modelling , London : Taylor & Francis .
   Google Scholar
• HUNTER , G. J. and GOODCHILD , M. F. 1997 . Modelling the uncertainty of slope gradient and aspect estimates in spatial databases . Geographical Analysis , 29 : 35 – 49 .
   Web of Science ®Google Scholar
• IRI , M. , SHIMAKAWA , Y. and NAGAI , T. Extraction of invariants from digital elevation data with application to terrain topography . Proceedings of the Symposium on Integrated Geographical Information Systems . Vol. 5 , pp. 33 – 46 . in Japanese
   Google Scholar
• JACQUEZ , G. M. 1996 . Disease cluster statistics for imprecise space-time locations . Statistics in Medicine , 15 : 873 – 885 .
   PubMed Web of Science ®Google Scholar
• LEUNG , Y. and YAN , J. 1997 . Point-in-polygon analysis under certainty and uncertainty . GeoInformatica , 1 : 93 – 114 .
   Google Scholar
• MARTIN , D. and BRACKEN , I. 1991 . Techniques for modelling population-related raster databases . Environment and Planning A , 23 : 1069 – 1075 .
   Web of Science ®Google Scholar
• OKABE , A. and MASUDA , S. 1984 . Qualitative analysis of two-dimensional urban population distribution in Japan . Geographical Analysis , 16 : 301 – 312 .
   Web of Science ®Google Scholar
• PERKAL , J. 1966 . On the length of empirical curves , Discussion Paper, 10 Ann Arbor Michigan Inter-University Community of Mathematical Geographers .
   Google Scholar
• PIELOU , E. 1977 . Mathematical Ecology , New York : John Wiley & Sons .
   Google Scholar
• SADAHIRO , Y. 2001 . Analysis of surface changes using primitive events . International Journal of Geographical Information Science , 15 : 523 – 538 .
   Web of Science ®Google Scholar
• SADAHIRO , Y. 2002 . Cluster detection in uncertain point distributions: a comparison of four methods . Computers, Environment and Urban Systems , to appear
   Google Scholar
• SCOTT , D. W. 1992 . Multivariate Density Estimation , New York : John Wiley & Sons .
   Google Scholar
• SHI , W. 1998 . A generic statistical approach for modelling error of geometric features in GIS . International Journal of Geographical Information Science , 12 : 131 – 143 .
   Web of Science ®Google Scholar
• SILVERMAN , B. W. 1986 . Density Estimation , London : Chapman & Hall .
   Google Scholar
• SLOCUM , T. A. 1999 . Thematic Cartography and Visualization , Upper Saddle River, New Jersey : Prentice Hall .
   Google Scholar
• UPTON , G. and FINGLETON , B. 1985 . Spatial Data Analysis with Example , Chichester : John Wiley & Sons .
   Google Scholar
• VEREGIN , H. 1994 . Integration of simulation modeling and error propagation for the buffer operation in GIS . Photogrammetric Engineering and Remote Sensing , 60 : 427 – 435 .
   Web of Science ®Google Scholar
• WARNTZ , W. 1966 . The topology of a socioeconomic terrain and spatial flows . Papers of the Regional Science Association , 17 : 47 – 61 .
   Google Scholar
• WARNTZ , W. and WATERS , N. 1975 . Network representations of critical elements of pressure surface . Geographical Review , 65 : 476 – 492 .
   Web of Science ®Google Scholar