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Improving kriging of groundwater level data using nonlinear normalizing transformations—a field application

Varouchakis Emmanouil, Christopoulos Dionysios, Karatzas Giorgos

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URIhttp://purl.tuc.gr/dl/dias/612D9363-BEEA-485D-9BE7-097E47485AC9-
Identifierhttps://doi.org/10.1080/02626667.2012.717174-
Identifierhttp://www.tandfonline.com/doi/abs/10.1080/02626667.2012.717174-
Languageen-
Languagefr-
Extent16 pagesen
TitleImproving kriging of groundwater level data using nonlinear normalizing transformations—a field applicationen
TitleAmélioration du krigeage de données piézométriques à l'aide de transformations normalisatrices non-linéaires. Application sur le terrainfr
CreatorVarouchakis Emmanouilen
CreatorΒαρουχακης Εμμανουηλel
CreatorChristopoulos Dionysiosen
CreatorΧριστοπουλος Διονυσιοςel
CreatorKaratzas Giorgosen
CreatorΚαρατζας Γιωργοςel
PublisherTaylor & Francisen
DescriptionΔημοσίευση σε επιστημονικό περιοδικό el
Content SummaryThe present research study investigates the application of nonlinear normalizing data transformations in conjunction with ordinary kriging (OK) for the accurate prediction of groundwater level spatial variability in a sparsely-gauged basin. We investigate three established normalizing methods, Gaussian anamorphosis, trans-Gaussian kriging and the Box-Cox method to improve the estimation accuracy. The first two are applied for the first time to groundwater level data. All three methods improve the mean absolute prediction error compared to the application of OK to the non-transformed data. In addition, a modified Box-Cox transformation is proposed and applied to normalize the hydraulic heads. The modified Box-Cox transformation in conjunction with OK is found to be the optimal spatial model based on leave-one-out cross-validation. The recently established Spartan semivariogram family provides the optimal model fit to the transformed data. Finally, we present maps of the groundwater level and the kriging variance based on the optimal spatial model.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-20-
Date of Publication2012-
SubjectKrigingen
SubjectGaussian anamorphosisen
SubjectTrans-Gaussian krigingen
SubjectBox-Cox transformationen
SubjectModified Box-Coxen
SubjectSpartan semivariogramen
SubjectUngauged basinen
SubjectGroundwater levelen
Bibliographic CitationE. A. Varouchakis, D. T. Hristopoulos and G. P. Karatzas, "Improving kriging of groundwater level data using nonlinear normalizing transformations—a field application," Hydrological Sciences Journal, vol. 57, no. 7, pp. 1404-1419, Sep. 2012. doi: 10.1080/02626667.2012.717174en

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