Development and test of an error model for categorical data

Abstract An error model for spatial databases is defined here as a stochastic process capable of generating a population of distorted versions of the same pattern of geographical variation. The differences between members of the population represent the uncertainties present in raw or interpreted data, or introduced during processing. Defined in this way, an error model can provide estimates of the uncertainty associated with the products of processing in geographical information systems. A new error model is defined in this paper for categorical data. Its application to soil and land cover maps is discussed in two examples: the measurement of area and the measurement of overlay. Specific details of implementation and use are reviewed. The model provides a powerful basis for visualizing error in area class maps, and for measuring the effects of its propagation through processes of geographical information systems.

[1]  W. Larimore,et al.  Statistical inference on stationary random fields , 1977, Proceedings of the IEEE.

[2]  Peter R. King,et al.  Generation of correlated properties in heterogeneous porous media , 1988 .

[3]  Jeffrey A. Newcomer,et al.  Accumulation of Thematic Map Errors in Digital Overlay Analysis , 1984 .

[4]  John Szajgin,et al.  Landsat classification accuracy assessment procedures , 1982 .

[5]  Peter F. Fisher,et al.  Modelling soil map-unit inclusions by Monte Carlo simulation , 1991, Int. J. Geogr. Inf. Sci..

[6]  D. Mark,et al.  The Nature Of Boundaries On ‘Area-Class’ Maps , 1989 .

[7]  P. Pizor Principles of Geographical Information Systems for Land Resources Assessment. , 1987 .

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

[9]  Harold Moellering A draft proposed standard for digital cartographic data , 1987 .

[10]  D. Merriam Computer Handling of Geographical Data: R. E. Tomlinson, H. W. Calkins, and D. F. Marble, The UNESCO Press, Natural Resources Research XIII, 1976, 214 p., available from Unipub, Box 433, Murray Hill Station, New York, NY 10016, $15.20 (US) , 1978 .

[11]  J. Keith Ord,et al.  Spatial Processes Models and Applications , 1981 .

[12]  Michael F. Goodchild,et al.  Modeling error in objects and fields , 1989 .

[13]  J. Genderen,et al.  TESTING LAND-USE MAP ACCURACY , 1977 .

[14]  R. Dunn,et al.  Positional accuracy and measurement error in digital databases of land use: an empirical study , 1990, Int. J. Geogr. Inf. Sci..

[15]  E.Bruce MacDougall,et al.  The accuracy of map overlays , 1975 .

[16]  D. Griffith,et al.  The boundary value problem in spatial statistical analysis. , 1983, Journal of regional science.

[17]  P. Burrough Principles of Geographical Information Systems for Land Resources Assessment , 1986 .

[18]  Nicholas Chrisman,et al.  The accuracy of map overlays: A reassessment , 1987 .