Skip to main content

Interpolation of Groundwater Quality Parameters Using Geological and Land Use Classification

  • Conference paper
geoENV II — Geostatistics for Environmental Applications

Part of the book series: Quantitative Geology and Geostatistics ((QGAG,volume 10))

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

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.

    Chapter  Google Scholar 

  • 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.

    Chapter  Google Scholar 

  • Härdie (1993): Applied Nonparametric Regression, Cambridge University Press, Cambridge.

    Google Scholar 

  • Journel, A. G. (1983): Non parametric estimation of spatial distributions. Mathematical Geology, 15, 445–468.

    Article  MathSciNet  Google Scholar 

  • Lehmann, W. (1995): Anwendung geostatistischer Verfahren auf die Bodenfeuchte in ländlichen Einzugsgebieten. Mitteilungen des Instituts für Hydrologie und Wasserwirtschaft, Nr.52, Universität Karlsruhe.

    Google Scholar 

  • Matheron, G. (1971): The Theory of Regionalized Variables and its Applications. Les Cahiers du Centre de Morphologie Mathématique, Fasc. 5, Fontainebleau.

    Google Scholar 

  • 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.

    Chapter  Google Scholar 

  • Pebesma, E.J. and de Kwaadsteniet, J.W., (1997): Mapping Spatial and Temporal Variation of Groundwater Quality in the Netherlands. In geoENV IGeostatistics for Environmental Applications, (ed. A. Soares), Kluwer Academic Publishers, Dordrecht, pp. 111–122.

    Google Scholar 

  • 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.

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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

Publish with us

Policies and ethics