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Aggregate Data: Geostatistical Solutions for Reconstructing Attribute Surfaces

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Encyclopedia of GIS

Synonyms

Downscaling; Spatial Interpolation; Surface modeling

Definition

Geographic information systems (GIS) are routinely used to integrate different layers of geospatial information for spatial analysis and decision making. Such an integration often involves data of geospatial attributes available at different geographical units, e.g., administrative zones versus pixels of remotely sensed imagery. What is required in such cases is a transformation of attribute values from one existing spatial partition to another, that is, a change of the geographical units over which the original data were acquired with an associated change in the actual attribute values reported. In public health applications, for example, socioeconomic data reported over census tracts must be integrated with disease data available over different administrative reporting zones, to assess disease risk at increasingly finer spatial resolutions. Similarly, in remote sensing applications, reflectance data recorded by...

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  • Atkinson PM, Pardo-Igúzquiza E, Chica-Olmo M (2008) Downscaling cokriging for super-resolution mapping of continua in remotely sensed images. IEEE Trans Geosci Remote Sens 46:573–580

    Article  Google Scholar 

  • Goovaerts P (2006) Geostatistical analysis of disease data: accounting for spatial support and population density in the isopleth mapping of cancer mortality risk using area-to-point Poisson kriging. Int J Health Geogr 5:52

    Article  Google Scholar 

  • Goovaerts P (2008) Kriging and semivariogram deconvolution in the presence of irregular geographical units. Math Geosci 40:101–128

    Article  MATH  Google Scholar 

  • Goovaerts P (2012) Geostatistical analysis of health data with different levels of spatial aggregation. Spat Spatiotemporal Epidemiol 3:83–92

    Article  Google Scholar 

  • Guan Q, Kyriakidis PC, Goodchild MF (2011) A parallel computing approach to fast geostatistical areal interpolation. Int J Geogr Inf Sci 25:1241–1267

    Article  Google Scholar 

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

    Book  Google Scholar 

  • Horta A, Pereira MJ, Gonçalves M, Ramos T, Soares A (2014) Spatial modelling of soil hydraulic properties integrating different supports. J Hydrol 51:1–9

    Article  Google Scholar 

  • Journel AG, Huijbregts CJ (1978) Mining geostatistics. Academic, London

    Google Scholar 

  • Kerry R, Goovaerts P, Rawlings BG, Marchant BP (2012) Disaggregation of legacy soil data using area to point kriging for mapping soil organic carbon at the regional scale. Geoderma 170:347–358

    Article  Google Scholar 

  • Kyriakidis PC (2004) A geostatistical framework for area-to-point spatial interpolation. Geogr Anal 36:259–389

    Article  Google Scholar 

  • Kyriakidis PC, Yoo E-H (2005) Geostatistical prediction and simulation of point values from areal data. Geogr Anal 37:124–151

    Article  Google Scholar 

  • Liu X, Kyriakidis PC, Goodchild MF (2008) Population density estimation using regression and area-to-point residual Kriging. Int J Geogr Inf Sci 22:431–447

    Article  Google Scholar 

  • Mariethoz G, Caers J (2014) Multiple-point geostatistics: stochastic modeling with training images. Wiley-Blackwell, Chichester

    Book  Google Scholar 

  • Nagle NN (2010) Geostatistical smoothing of areal data: mapping employment density with factorial Kriging. Geogr Anal 42:99–117

    Article  Google Scholar 

  • Sales MHR, Sousa CM Jr, Kyriakidis PC (2013) Fusion of MODIS images using Kriging with external drift. IEEE Trans Geosci Remote Sens 51:2250–2259

    Article  Google Scholar 

  • Tobler WR (1979) Smooth pycnophylactic interpolation for geographical regions. J Am Stat Assoc 74:519–530

    Article  MathSciNet  Google Scholar 

  • Truong PN, Heuvelink GBM, Pebezma E (2014) Bayesian area-to-point kriging using expert knowledgeas informative priors. Int J Appl Earth Obs Geoinf 30:128–138

    Article  Google Scholar 

  • Wang Q, Shi W, Atkinson PM, Zhao Y (2015) Downscaling MODIS images with area-to-point regression kriging. Remote Sens Environ 166:191–204

    Article  Google Scholar 

  • Yoo E-H, Kyriakidis PC (2006) Area-to-point Kriging with inequality-type data. J Geogr Syst 8:357–390

    Article  Google Scholar 

  • Yoo E-H, Kyriakidis PC (2009) Area-to-point Kriging in spatial hedonic pricing models. J Geogr Syst 11:381–406

    Article  Google Scholar 

  • Yoo E-H, Kyriakidis PC, Tobler W (2010) Reconstructing population density surfaces from areal data: a comparison of Tobler’s pycnophilactic interpolation method and area-to-point Kriging. Geogr Anal 42:78–98

    Article  Google Scholar 

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Correspondence to Phaedon Kyriakidis .

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Kyriakidis, P. (2017). Aggregate Data: Geostatistical Solutions for Reconstructing Attribute Surfaces. In: Shekhar, S., Xiong, H., Zhou, X. (eds) Encyclopedia of GIS. Springer, Cham. https://doi.org/10.1007/978-3-319-17885-1_1645

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