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Computational advances for spatio-temporal multivariate environmental models

Author

Listed:
  • Claudia Cappello

    (Università del Salento)

  • Sandra De Iaco

    (Università del Salento)

  • Monica Palma

    (Università del Salento)

Abstract

In multivariate Geostatistics, the linear coregionalization model (LCM) has been widely used over the last decades, in order to describe the spatial dependence which characterizes two or more variables of interest. However, in spatio-temporal multiple modeling, the identification of the main elements of a space–time linear coregionalization model (ST-LCM), as well as of the latent structures underlying the analyzed phenomenon, represents a tough task. In this paper, some computational advances which support the selection of an ST-LCM are described, gathering all the necessary steps which allow the analyst to easily and properly detect the basic space–time components for the phenomenon under study. The implemented algorithm is applied on space–time air quality data measured in Scotland in 2017.

Suggested Citation

  • Claudia Cappello & Sandra De Iaco & Monica Palma, 2022. "Computational advances for spatio-temporal multivariate environmental models," Computational Statistics, Springer, vol. 37(2), pages 651-670, April.
    • Handle: RePEc:spr:compst:v:37:y:2022:i:2:d:10.1007_s00180-021-01132-0
    DOI: 10.1007/s00180-021-01132-0
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    References listed on IDEAS

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    1. Bo Li & Marc G. Genton & Michael Sherman, 2008. "Testing the covariance structure of multivariate random fields," Biometrika, Biometrika Trust, vol. 95(4), pages 813-829.
    2. Gneiting, Tilmann & Kleiber, William & Schlather, Martin, 2010. "Matérn Cross-Covariance Functions for Multivariate Random Fields," Journal of the American Statistical Association, American Statistical Association, vol. 105(491), pages 1167-1177.
    3. Miettinen, Jari & Nordhausen, Klaus & Taskinen, Sara, 2017. "Blind Source Separation Based on Joint Diagonalization in R: The Packages JADE and BSSasymp," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 76(i02).
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