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Spatial and Geographically Weighted Regression

  • Reference work entry
  • First Online:
Encyclopedia of GIS

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FormalPara Synonyms

Conditional spatial regression; Global and local spatial modeling; Moving average regression; Regression; Simultaneous autoregression; Spatial prediction

Definition

Spatial regression (SR) is a global spatial modeling technique in which spatial autocorrelation among the regression parameters are taken into account. SR is usually performed for spatial data obtained from spatial zones or areas. The basic aim in SR modeling is to establish the relationship between a dependent variable measured over a spatial zone and other attributes of the spatial zone, for a given study area, where the spatial zones are the subset of the study area. While SR is known to be a modeling method in spatial data analysis literature (Bailey and Gatrell 1995; Haining 1993; Schabengerger and Gotway 2005; Haining 2003; Fotheringham et al. 2000; Anselin 1988), in spatial data-mining literature it is considered to be a classification technique (Shekhar and Chawla 2003).

Geographically weighted...

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References

  • Anselin L (1988) Spatial econometrics: methods and models. Kluwer, Dordrecht

    Book  MATH  Google Scholar 

  • Bailey T, Gatrell AC (1995) Interactive spatial data analysis. Pearson, Harlow

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  • Brunsdon C, Fotheringham AS, Charlton M (1996) Geographically weighted regression: a method for exploring spatial nonstationarity. Geogr Anal 28:281–98

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  • Fotheringham AS, Brunsdon C, Charlton M (2000) Quantitative geography perspectives on spatial data analysis. Sage, London

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  • Fotheringham AS, Brunsdon C, Charlton M (2002) Geographically weigthed regression the analysis of spatially varying relationships. Wiley, West Sussex

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  • Gamerman D, Moreira ARB (2004) Multivariate spatial regression models. J Multivar Anal 91:262–281

    Article  MathSciNet  MATH  Google Scholar 

  • Griffith DA (1995) Some guidelines for specifying the geographic weights matrix contained in spatial statistical models. In: Arlinghous SL, Griffith AD, Drake, WD, Nystuen JD (eds) Practical handbook of spatial statistics. CRC, Boca Raton, pp 65–82

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  • Haining R (1993) Spatial data analysis in the social and environmental sciences. Cambridge University Press, Cambridge

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  • Haining RP (2003) Spatial data analysis theory and practice. Cambridge University Press, Cambridge

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  • Schabengerger O, Gotway CA (2005) Statistical methods for spatial data analysis. Chapman & Hall/CRC, Boca Raton

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  • Shekhar S, Chawla S (2003) Spatial databases: a tour. Pearson, New Jersey

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Recommended Reading

  • Cliff AD, Ord JK (1973) Spatial autocorrelation. Pion, London

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Author information

Authors and Affiliations

  1. Geodetic and Geographic Information Technologies, Middle East Technical University, Ankara, Turkey

    H. Sebnem Düzgün & Serkan Kemeç

Authors
  1. H. Sebnem Düzgün
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  2. Serkan Kemeç
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Editor information

Editors and Affiliations

  1. University of Minnesota, Minneapolis, MN, USA

    Shashi Shekhar

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

    Hui Xiong

  3. Department of Management Sciences, Tippie College of Business, University of Iowa, Iowa City, IA, USA

    Xun Zhou

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Düzgün, H.S., Kemeç, S. (2017). Spatial and Geographically Weighted Regression. In: Shekhar, S., Xiong, H., Zhou, X. (eds) Encyclopedia of GIS. Springer, Cham. https://doi.org/10.1007/978-3-319-17885-1_1242

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