Abstract
Groundwater quality parameters are influenced by a number of environmental factors. Experience shows that geology and land use are the most important among these. Therefore a straightforward interpolation not considering these factors might not deliver plausible results. As this additional information is not numerical, straightforward methods as Cokriging cannot be applied. This paper presents interpolation methods which can efficiently use additional information as a classification of the observed groundwater data and achieve better and more plausible interpolations. To take into account the two most important factors, a double classification is made referring to geology and land use similarly. Because most classes are too small then, and thus do not contain enough information for a plausible statistical analysis, an efficient and automatically working algorithm has been developed to combine small classes to such of sufficient size considering statistical and physical aspects of the parameters. The methods used for interpolation are Simple Updating, a modified version of the Simple Kriging, and a Bayesian type of combination of Ordinary or External Drift Kriging with prior information. These methods have been applied for more than 50 parameters monitored in extensive measurements in Baden-Württemberg at about 3000 locations. The different estimations with and without additional information are compared. The methods are also applied using indicator transformations. The results demonstrate that with additional information it is possible to achieve a significant improvement when this is considered in spatial interpolation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ambroise, C., Dang, M. and Govaert, G., (1997): Clustering of Spatial Data by the EM Algorithm. In geoENV I — Geostatistics for Environmental Applications, (ed. A. Soares), Kluwer Academic Publishers, Dordrecht, pp. 493–504.
Bárdossy A., Haberlandt U. and Grimm-Strele J., (1997): Interpolation of Groundwater Quality Parameters Using Additional Information. In geoENV I — Geostatistics for Environmental Applications, (ed. A. Soares), Kluwer Academic Publishers, Dordrecht, pp. 189–200.
Härdie (1993): Applied Nonparametric Regression, Cambridge University Press, Cambridge.
Journel, A. G. (1983): Non parametric estimation of spatial distributions. Mathematical Geology, 15, 445–468.
Lehmann, W. (1995): Anwendung geostatistischer Verfahren auf die Bodenfeuchte in ländlichen Einzugsgebieten. Mitteilungen des Instituts für Hydrologie und Wasserwirtschaft, Nr.52, Universität Karlsruhe.
Matheron, G. (1971): The Theory of Regionalized Variables and its Applications. Les Cahiers du Centre de Morphologie Mathématique, Fasc. 5, Fontainebleau.
Mohammadi, J., van Meirvenne, M. and Goovaerts, P., (1997): Mapping Cadmium Concentration and the Risk of Exceeding a Local Sanitation Threshold Using Indicator Geostatistics. In geoENV I — Geostatistics for Environmental Applications, (ed. A. Soares), Kluwer Academic Publishers, Dordrecht, pp. 327–337.
Pebesma, E.J. and de Kwaadsteniet, J.W., (1997): Mapping Spatial and Temporal Variation of Groundwater Quality in the Netherlands. In geoENV I — Geostatistics for Environmental Applications, (ed. A. Soares), Kluwer Academic Publishers, Dordrecht, pp. 111–122.
Zhu, H. and Journel, A.G., (1993): Formatting and Integrating Soft Data: Stochastic Imaging via the Markov-Bayes Algorithm. In Geostatistics Tróia’92, (ed. A. Soares), Kluwer Academic Publishers, Dordrecht, pp. 1–12.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Bárdossy, A., Giese, H., Grimm-Strele, J. (1999). Interpolation of Groundwater Quality Parameters Using Geological and Land Use Classification. In: Gómez-Hernández, J., Soares, A., Froidevaux, R. (eds) geoENV II — Geostatistics for Environmental Applications. Quantitative Geology and Geostatistics, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9297-0_21
Download citation
DOI: https://doi.org/10.1007/978-94-015-9297-0_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5249-0
Online ISBN: 978-94-015-9297-0
eBook Packages: Springer Book Archive