Modelling map positional error to infer true feature location

Canadian Journal of Statistics

Volumn 34, Issue 4, 2006, Pages 659-676

  Barber, Jarrett J ^a   Gelfand, Alan E ^b   Silander Jr , John A ^c  

^a UNIVERSITY OF WYOMING   (United States)

^b DUKE UNIVERSITY   (United States)

^c Ecology and Evolutionary Biology Department   (United States)

Author keywords

Bayesian inference; Bayesian model averaging; Berkson model; Bivariate spatial process; Coregionalization; Measurement error

Indexed keywords

EID: 33847745735     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.1002/cjs.5550340407     Document Type: Article

References (46)

1. P. M. Atkinson (1999). Geographical information science: geostatistics and uncertainty. Progress in Physical Geography, 23, 134-142.
2. S. Banerjee, B. P. Carlin & A. E. Gelfand (2004). Hierarchical Modeling and Analysis for Spatial Data. Monographs on Statistics and Applied probability 101, Chapman & Hall/CRC, Bota Raton.
3. M. Blakemore (1984). Generalisation and error in spatial data bases. Cartographica, 21, 131-139.
4. S. P. Brooks & A. Gelman (1997). General methods for monitoring convergence of iterative simulations. Journal of Computational and Graphical Statistics, 7, 434-455.
5. R. J. Carroll, D. Ruppert & L. A. Stefanski (1995). Measurement Error in Nonlinear Models. Monographs on Statistics and Applied Probability 63, Chapman & Hall, London.
6. W. Caspary & R. Scheuring (1993). Positional accuracy in spatial data bases. Computational, Environmental, and Urban Systems, 17, 103-110.
7. S. Chib (1995). Marginal likelihood from the Gibbs output. Journal of the American Statistical Association, 90, 1313-1321.
8. S. Chib & I. Jeliazkov (2001). Marginal likelihood from the Metropolis-Hastings output. Journal of the American Statistical Association, 96, 270-281.
9. N. Chrisman (1982). A theory of cartographic error and its measurement in digital databases. In ISPRS 4 Proceedings, Auto-Carto 5: Fifth International Symposium on Computer-Assisted Cartography and International Society for Photogrammetry and Remote Sensing (J. Foreman, ed.), American Society of Photogrammetry, Falls Church, pp. 159-168.
10. N. Cressie (1993). Statistics for Spatial Data, Revised edition. Wiley, New York.
11. N. Cressie & J. Kornak (2003). Spatial statistics in the presence of location error with an application to remote sensing of the environment. Statistical Science, 18, 436-456.
12. I. Dowman (1999). Encoding and validating data from maps and images. In Geographical Information Systems: Principles, Techniques, Applications, and Management, Volume 2: Management Issues and Applications (P. A. Longley, M. F. Goodchild, D. J. Maguire & D. W. Rhind, eds.), Second edition, Wiley, New York, pp. 437-450.
13. J. Drummond (1995). Positional accuracy. In Elements of Spatial Data Quality (S. C. Guptill & J. L. Morrison, eds.), Elsevier Science, New York, pp. 31-58.
14. Environmental Systems Research Institute (2003). ESRI Data and Maps ArcGIS (v8.2) StreetMap USA Local Streets CD-ROMS. Environmental Systems Research Institute, Redlands, CA.
15. W. A. Fuller (1987). Measurement Error Models. Wiley, New York.
16. J. Gabrosek & N. Cressie (2002). The effect on attribute prediction of location uncertainty in spatial data. Geographical Analysis, 34, 262-285.
17. A. E. Gelfand & B. Mallick (1996). Semiparametric errors in variables models; a Bayesian approach. Journal of Statistical Planning and Inference, 52, 307-321.
18. A. Gelman, J. B. Carlin, H. S. Stem & D. B. Rubin (1995). Bayesian Data Analysis. Chapman & Hall/CRC, Boca Raton.
19. A. Gelman & D. B. Rubin (1992). Inference from iterative simulation using multiple sequences (with discussion). Statistical Science, 7, 457-511
20. W. R. Gilks, S. Richardson & D. J. Spiegelhalter, eds. (1996). Markov Chain Monte Carlo in Practice. Chapman & Hall/CRC Boca Raton.
21. M. F. Goodchild & S. Gopal, eds. (1989). The Accuracy of Spatial Databases. Taylor & Francis, London.
22. S. C. Guptill & J. L. Morrison, eds. (1995). Elements of Spatial Data Quality. Elsevier Science, New York.
23. G. B. Heuvelink (1999). Propagation of error in spatial modelling with GIS. In Geographical Information Systems: Principles, Techniques, Applications, and Management, Volume 2: Management Issues and Applications (P. A. Longley, M. F. Goodchild, D. J. Maguire & D. W. Rhind, eds.), Second edition, Wiley, New York, pp. 207-217.
24. G. B. Heuvelink, P. A. Burrough & A. Stein (1989). Propagation of errors in spatial modelling with GIS. International Journal of Geographical Information Science, 3, 303-322.
25. G. J. Hunter & M. F. Goodchild (1996). A new model for handling vector data uncertainty in geographic information systems. URISA Journal, 8, 51-57.
26. H. Kiiveri (1997). Assessing, representing and transmitting positional uncertainty in maps. International Journal of Geographical Information Science, 11, 33-52.
27. Y. Leung & J. Yan (1998). A locational error model for spatial features. International Journal of Geographical Information Science, 12, 607-620.
28. P. A. Longley, M. F. Goodchild, D. J. Maguire & D. W. Rhind, eds. (1999a). Geographical Information Systems: Principles, Techniques, Applications, and Management, Volume 1: Principles and Technical Issues, Second edition. Wiley, New York.
29. P. A. Longley, M. F. Goodchild, D. J. Maguire & D. W. Rhind, eds. (1999b). Geographical Information Systems: Principles, Techniques, Applications, and Management, Volume 2: Management Issues and Applications, Second edition. Wiley, New York.
30. K. Lowell & A. Jaton (Eds.) (1999). Spatial Accuracy Assessment: Land Information Uncertainty in Natural Resources. Ann Arbor Press, Chelsea, Michigan.
31. H. T Mowrer & R. G. Congalton (Eds.) (1999). Quantifying Spatial Uncertainty in Natural Resources: Theory and Applications for GIS and Remote Sensing. Ann Arbor Press, Chelsea, Michigan.
32. J. Perkal (1966). On the length of empirical curves. In Discussion Paper Number 10 (J. D. Nystuen, ed.), Michigan Inter-University Community of Mathematical Geographers, Ann Arbor, pp. 23-57.
33. R Development Core Team (2004). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna: http://www.R-project.org.
34. A. E. Raftery, D. Madigan & J. A. Hoeting (1997). Bayesian model averaging for linear regression models. Journal of the American Statistical Association, 92, 179-191.
35. W. Shi (1998). A generic statistical approach for modelling error of geometric features in GIS. International Journal of Geographical Information Science, 12, 131-143.
36. W. Shi, P. F. Fisher & M. F. Goodchild (Eds.) (2002). Spatial Data Quality. Taylor & Francis, New York.
37. W. Shi & W. Liu (2000). A stochastic process-based model for the positional error of line segments in GIS. International Journal of Geographical Information Science, 14, 51-66.
38. T. Soler & J. Marshall (2002). Rigorous transformation of variance-covariance matrices of GPS-derived coordinates and velocities. GPS Solutions, 6, 76-90.
39. L. V. Stanislawski, B. A. Dewitt & R. L. Shrestha (1996). Estimating positional accuracy of data layers within a GIS through error propagation. Photogrammetric Engineering & Remote Sensing, 62, 429-433.
40. K. Thapa & J. Bossier (1992). Accuracy of spatial data used in geographic information systems. Photogrammetric Engineering & Remote Sensing, 58, 835-841.
41. Trimble Navigation (1997a). TDC1 Asset Surveyor Operation Manual (31174-20). Sunnyvale, California.
42. Trimble Navigation (1997b). TDCJ Asset Surveyor Software User Guide (31173-20). Sunnyvale, California.
43. Trimble Navigation (2003). GPS Pathfinder Office Getting Started Guide (34231-30-ENG). Westminster, CO.
44. H. Veregin (1999). Data quality parameters. In Geographical Information Systems: Principles, Techniques, Applications, and Management, Volume 1: Principles and Technical Issues (P. A. Longley, M. F. Goodchild, D. J. Maguire & D. W. Rhind, eds.), Second edition, Wiley, New York, pp. 177-189.
45. H. Wackernagel (2003). Multivariate Geostatistics: An Introduction with Applications, Third edition. Springer-Verlag, Berlin.
46. M. S. White, Jr. & P. Griffin (1985). Piecewise linear rubber-sheet map transformation. The American Cartographer, 12, 123-131.