Encyclopedia of Database Systems

2018 Edition
| Editors: Ling Liu, M. Tamer Özsu

Field-Based Spatial Modeling

  • Michael F. Goodchild
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-8265-9_163

Definition

A field (or continuous field) is defined as a mapping from location x to a function f. In modeling geographic phenomena the domain of x is most often the two dimensions of geographic space, but may include the third spatial dimension for applications that extend above or below the Earth’s surface, and may include time for dynamic phenomena. Fields can also be defined on one-dimensional networks embedded in two- or three-dimensional space. Moreover, most applications are limited to a specified sub-domain of geographic space, such as the limits of a country or county, or of a map sheet or arbitrarily defined study area. The domain of fincludes scalar measurements on interval and ratio scales, nominal and ordinal classifications, and vectors describing such directional phenomena as wind or topographic gradient. Field-based spatial modeling can in principle be employed in the representation of any space, including the spaces of the human brain, the surfaces of other planets,...

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Recommended Reading

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    Couclelis H. People manipulate objects (but cultivate fields): beyond the raster-vector debate in GIS. In: Frank AU, Campari I, Formentini U, editors. Theories and methods of spatio-temporal reasoning in geographic space. Berlin: Springer; 1992. p. 65–77.CrossRefGoogle Scholar
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    De Smith MJ, Goodchild MF, Longley PA. Geospatial analysis: a comprehensive guide to principles. UK: Techniques and Software Tools. Winchelsea Press; 2007.Google Scholar
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    Goodchild MF. Modeling error in objects and fields. In: Goodchild MF, Gopal S, editors. Accuracy of spatial databases. Bristol/London: Taylor and Francis; 1989. p. 107–14.Google Scholar
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    Goodchild MF, Yuan M, Cova TJ. Towards a general theory of geographic representation in GIS. Int J Geogr Inf Sci. 2007;21(3):239–60.CrossRefGoogle Scholar
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    Longley PA, Goodchild MF, Maguire DJ, Rhind DW. Geographic information systems and science. West Sussex: Wiley; 2005.Google Scholar
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    Tomlin CD. Geographic information systems and cartographic modeling. Englewoods: Prentice Hall; 1990.Google Scholar
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    Worboys MF, Duckham M. GIS: A computing perspective. Boca Raton: CRC Press; 2004.CrossRefGoogle Scholar
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    Zhang JX, Goodchild MF. Uncertainty in geographical information. London/New York: Taylor and Francis; 2002.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.University of California-Santa BarbaraSanta BarbaraUSA

Section editors and affiliations

  • Ralf Hartmut Güting
    • 1
  1. 1.Computer ScienceUniversity of HagenHagenGermany