2016
DOI: 10.32614/rj-2016-014
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Spatio-Temporal Interpolation using gstat

Abstract: We present new spatio-temporal geostatistical modelling and interpolation capabilities of the R package gstat. Various spatio-temporal covariance models have been implemented, such as the separable, product-sum, metric and sum-metric models. In a real-world application we compare spatiotemporal interpolations using these models with a purely spatial kriging approach. The target variable of the application is the daily mean PM 10 concentration measured at rural air quality monitoring stations across Germany in … Show more

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Cited by 616 publications
(409 citation statements)
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“…Statistical analyses were undertaken using the R programming language (R Core Team ): GAMMs were fitted using the “gamm4” package (Wood & Scheipl ), spatial and temporal semi‐variograms were constructed using the “gstat” package (Gräler, Pebesma, & Heuvelink, ), k ‐fold cross validation was undertaken using the “dismo” package (Hijmans, Phillips, Leathwick, & Elith, ) and linear mixed effects models were fitted using the “lme4” package (Bates et al., ).…”
Section: Methodsmentioning
confidence: 99%
“…Statistical analyses were undertaken using the R programming language (R Core Team ): GAMMs were fitted using the “gamm4” package (Wood & Scheipl ), spatial and temporal semi‐variograms were constructed using the “gstat” package (Gräler, Pebesma, & Heuvelink, ), k ‐fold cross validation was undertaken using the “dismo” package (Hijmans, Phillips, Leathwick, & Elith, ) and linear mixed effects models were fitted using the “lme4” package (Bates et al., ).…”
Section: Methodsmentioning
confidence: 99%
“…In order to find the best exposure prediction, various semivariogram models were fitted and the model rendering the lowest root mean square error (RMSE) [30] was used for the lithium exposure assessment. The semivariogram and spatial interpolation of the lithium measurements were calculated in R Version 3.1.0 (R Foundation for Statistical Computing, Vienna, Austria) using the gstat package (Version 1.1.3 [31,32]).…”
Section: Methodsmentioning
confidence: 99%
“…In the First International Symposium on Spatiotemporal Computing held in July 2015 at George Mason University, one of the panelists suggested revising the First Law of Geography to include temporal proximity. However, spatiotemporal interpolation methods have been applied widely for decades (Li and Revesz ), even incorporated in popular statistical software packages such as R (Gräler, and others ). Some of these methods assume that distance in space and in time are interchangeable at some rate, and that rate can be determined by the sample data through covariance modeling (Stein ).…”
Section: Time And/or Space‐time?mentioning
confidence: 99%