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A general framework for error analysis in measurement-based GIS Part 3: Error analysis in intersections and overlays

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  • Yee Leung
  • Jiang-Hong Ma
  • Michael F. Goodchild

Abstract

This is the third of a four-part series on the development of a general framework for error analysis in measurement-based geographic information systems (MBGIS). In this paper, we study the characteristics of error structures in intersections and polygon overlays. When locations of the endpoints of two line segments are in error, we analyze errors of the intersection point and obtain its error covariance matrix through the propagation of the error covariance matrices of the endpoints. An approximate law of error propagation for the intersection point is formulated within the MBGIS framework. From simulation experiments, it appears that both the relative positioning of two line segments and the error characteristics of the endpoints can affect the error characteristics of the intersection. Nevertheless, the approximate law of error propagation captures nicely the error characteristics under various situations. Based on the derived results, error analysis in polygon-on-polygon overlay operation is also performed. The relationship between the error covariance matrices of the original polygons and the overlaid polygons is approximately established. Copyright Springer-Verlag Berlin Heidelberg 2004

Suggested Citation

  • Yee Leung & Jiang-Hong Ma & Michael F. Goodchild, 2004. "A general framework for error analysis in measurement-based GIS Part 3: Error analysis in intersections and overlays," Journal of Geographical Systems, Springer, vol. 6(4), pages 381-402, December.
    • Handle: RePEc:kap:jgeosy:v:6:y:2004:i:4:p:381-402
    DOI: 10.1007/s10109-004-0143-2
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    More about this item

    Keywords

    Error analysis; line-in-polygon overlay; polygon-on-polygon overlay; intersection point; approximate law of error propagation; C10; C31;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models

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