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Encyclopedia of GIS pp 425–431Cite as

Hierarchical Spatial Models

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Synonyms

Hierarchical dynamic spatio-temporal models; Geostatistical models; Hierarchies; Autoregressive models; Process model

Definition

A hierarchical spatial model is the product of conditional distributions for data conditioned on a spatial process and parameters, the spatial process conditioned on the parameters defining the spatial dependencies between process locations, and the parameters themselves.

Historical Background

Scientists across a wide range of disciplines have long recognized the importance of spatial dependencies in their data and the underlying process of interest. Initially due to computational limitations, they dealt with such dependencies by randomization and blocking rather than the explicit characterization of the dependencies in their models. Early developments in spatial modeling started in the 1950's and 1960's motivated by problems in mining engineering and meteorology [11], followed by the introduction of Markov random fields [2]. The application...

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Recommended Reading

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Author information

Authors and Affiliations

  1. Department of Statistics, University of Missouri-Columbia, Columbia, MO, USA

    Ali Arab & Christopher K. Wikle

  2. Department of Mathematics and Statistics, Utah State University, Logan, UT, USA

    Mevin B. Hooten

Authors
  1. Ali Arab
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  2. Mevin B. Hooten
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  3. Christopher K. Wikle
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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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Arab, A., Hooten, M., Wikle, C. (2008). Hierarchical Spatial Models. In: Shekhar, S., Xiong, H. (eds) Encyclopedia of GIS. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35973-1_564

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