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Error Propagation in Spatial Prediction

  • Reference work entry
Encyclopedia of GIS

Synonyms

Change of support problem; COSP; Modifiable areal unit problem; MAUP

Definition

Spatial prediction involves the use of observations at given locations to make predictions of quantities of interest at locations for which observations on the variable of interest are not available, using a chosen method. If the locations and all variables are measured exactly, then the prediction errors are limited to those related to the choice of prediction method and the fitting of its parameters.

Table 1 Changes of support Gotway and Young (2002, p. 634)
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Recommended Reading

  1. Arbia, G.: Statistical effect of data transformations: a proposed general framework. In: Goodchild, M.F., Gopal, S. (eds.) The accuracy of spatial databases, 249–259. Taylor & Francis, London (1989)

    Google Scholar 

  2. Banerjee S., Carlin BP., Gelfand A.E.: Hierarchical modeling and analysis for spatial data. Chapman & Hall/CRC, Boca Raton (2004)

    MATH  Google Scholar 

  3. Barry, R.P.: The local approximation of variograms in R 2 by covariance functions. Stat. Probab. Lett. 74, 171–177 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  4. Burrough, P.A.: Natural objects with indeterminate boundaries. In: Burrough, P.A., Frank, A.U. (eds.) Geographic objects with indeterminate boundaries, 3–28. Taylor & Francis, London (1996)

    Google Scholar 

  5. Burrough, P.A., McDonnell, R.A.: Principles of geographical information systems. Oxford University Press, Oxford (1998)

    Google Scholar 

  6. Cornford, D., Csató, L., Opper, M.: Sequential, Bayesian geostatistics: a principled method for large data sets. Geogr. Anal. 37, 183–199 (2005)

    Article  Google Scholar 

  7. Cressie, N.A.C.: Statistics for spatial data. Wiley, New York (1993)

    Google Scholar 

  8. Diggle, P.J., Ribeiro, P.J.: Model-based Geostatistics. Springer, New York (2007)

    MATH  Google Scholar 

  9. Fisher, P.F.: Algorithm and implementation uncertainty in viewshed analysis. Int. J. Geogr. Inf. Syst. 7, 331–347 (1993)

    Article  Google Scholar 

  10. Fisher, P.F.: The pixel: a snare and a delusion. Int. J. Remote Sens. 18, 679–685 (1997)

    Article  Google Scholar 

  11. Fuentes, M., Raftery, A.E.: Model evaluation and spatial interpolation by Bayesian combination of observations with outputs from numerical models. Biom. 61, 36–45 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  12. Gandin, L.S.: Objective Analysis of Meteorological Fields. Gidrometeorologicheskoe Izdatel'stvo (GIMIZ), Leningrad (1963) (translated by Israel Program for Scientific Translations, Jerusalem, 1965)

    Google Scholar 

  13. Gelfand, A.E., Zhu, L., Carlin, B.P.: On the change of support problem for spatio-temporal data. Biostat. 2, 31–45 (2001)

    Article  MATH  Google Scholar 

  14. Gneiting, T., Schlather, M.: Space-time covariance models. In: El-Shaarawi, A.H., Piegorsch, W.W. (eds.) Encyclopedia of Environmetrics, Wiley, Chichester, 2041–2045 (2002)

    Google Scholar 

  15. Gotway, C.A., Young, L.J.: Combining incompatible spatial data. J. Am. Stat. Assoc. 97, 632–648 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  16. Guttorp, P.: Environmental statistics—a personal view. Int. Stat. Review 71, 169–179 (2003)

    Article  MATH  Google Scholar 

  17. Guttorp, P.: Setting Environmental Standards: A Statistician's Perspective. NRCSE Technical Report 048, http://www.nrcse.washington.edu/pdf/trs48_setting.pdf (2000)

  18. Heuvelink, G.B.M.: Error propagation in environmental modelling with GIS. Taylor & Francis, London (1998)

    Google Scholar 

  19. Kolmogorov, A.N.: Interpolation and extrapolation of stationary random sequences. Isvestiia Akademii Nauk SSSR, Seriia Matematicheskiia 5, 3–14 (1941) (Translation, 1946, Memo RM-3090-PR, Rand Corp., Santa Monica, CA)

    MathSciNet  Google Scholar 

  20. Krivoruchko, K., Gotway, C.A.: Assessing the Uncertainty Resulting from Geoprocessing Operations. submitted for publication, ESRI Press, http://www.esri.com/library/whitepapers/pdfs/assessing-uncertainty.pdf (2003)

  21. Leung, Y., Ma, J.-H., Goodchild, M.F.: A general framework for error analysis in measurement-based GIS I: the basic measurement-error model and related concepts. J. Geogr. Syst. 6, 325–354 (2004)

    Article  Google Scholar 

  22. Pardo-Igúzquiza, E., Chica-Olmo, M., Atkinson, P.M.: Downscaling cokriging for image sharpening. Remote Sens. Env. 102, 86–98 (2006)

    Article  Google Scholar 

  23. Rue, H., Held, L.: Gaussian Markov random fields. Chapman & Hall/CRC, Boca Raton (2005)

    Book  MATH  Google Scholar 

  24. Schabenberger, O.:, Gotway, C.A.: Statistical Methods for Spatial Data Analysis. Chapman & Hall/CRC, Boca Raton (2005)

    Google Scholar 

  25. Waller, L.A., Gotway, C.A. Applied spatial statistics for public health data. Wiley, Hoboken, N.J. (2004)

    Book  MATH  Google Scholar 

  26. Wikle, C.K.: Hierarchical models in environmental science. Int. Stat. Review 71, 181–199 (2003)

    Article  MATH  Google Scholar 

  27. Zhang, J., Goodchild, M.F.: Uncertainty in geographical information. Taylor & Francis, London (2002)

    Book  Google Scholar 

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Author information

Authors and Affiliations

  1. Economic Geography Section, Department of Economics, Norwegian School of Economics and Business Administration, Bergen, Norway

    Roger Bivand

Authors
  1. Roger Bivand
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Editor information

Editors and Affiliations

  1. Faculty of Computer Science and Engineering, University of Minnesota, Minneapolis, MN, 55455, USA

    Shashi Shekhar (McKnight Distinguished University Professor) (McKnight Distinguished University Professor)

  2. Management Science and Information Systems Department, Rutgers Business School Newark and New Brunswick Rutgers, the State University of New Jersey, Newark, NJ, 07102, USA

    Hui Xiong (Assistant Professor) (Assistant Professor)

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© 2008 Springer-Verlag

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Bivand, R. (2008). Error Propagation in Spatial Prediction. In: Shekhar, S., Xiong, H. (eds) Encyclopedia of GIS. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35973-1_367

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