Abstract
This paper presents a methodology to account for multiple sources of uncertainty (measurement and interpolation errors for pollutant concentrations, spatially variable regulatory thresholds) in the mapping of the probability of contamination. The approach, which involves kriging of soft indicator data and propagation of uncertainty by Latin-Hypercube Sampling (LHS) of ccdfs, is applied to a 216 km2 airborne Cd-contaminated area in Belgium. The aim is to predict the probability of exceeding a regulatory sanitation threshold (ST) for vegetable gardens which depends on both soil organic matter (OM) and clay content. A validation study shows that the ccdfs provide accurate models of the uncertainty about soil properties. The coefficient of variation of the ccdf of the difference D=ST-[Cd] is proposed as a criterion to decide where additional samples should be collected. In the case study, this criterion allows one to identify mostly locations that were wrongly declared safe, while large prediction errors were detected by sampling locations where the variance of the Cd ccdf is high.
This is a preview of subscription content, log in via an institution to check access.
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
Buxton, B.E., Wells, D.E. and Diluise, G. (1997) Comparison of three kriging methods for making soil remediation decisions, in E.Y. Baafi and N.A. Schofield (eds.), Geostatistics Woliongong ‘96, Kluwer Academic Publishers, Dordrecht, pp. 984–995.
Deutsch, C.V. (1997) Direct assessment of local accuracy and precision, in E.Y. Baafi and N.A. Schofield (eds.), Geostatistics Woliongong ‘96, Kluwer Academic Publishers, Dordrecht, pp. 115–125.
Garcia, M. and Proidevaux, R. (1997) Application of geostatistics to 3-D modelling of contaminated sites: a case-study, in A. Soares et al. (eds.), geoENV I — Geostatistics for Environmental Applications, Kluwer Academic Publishers, Dordrecht, pp. 309–325.
Goovaerts, P. (1997a) Geostatistics for Natural Resources Evaluation, Oxford University Press, New-York.
Goovaerts, P. (1997b) Accounting for local uncertainty in environmental decision-making processes, in E.Y. Baafi and N.A. Schofield (eds.), Geostatistics Woliongong ‘96, Kluwer Academic Publishers, Dordrecht, pp. 929–940.
Goovaerts, P. and Journel, A.G. (1995) Integrating soil map information in modelling the spatial variation of continuous soil properties. European Journal of Soil Science 46, 397–414.
Johnson R.L. (1996) A Bayesian/geostatistical approach to the design of adaptive sampling programs, in S. Rouhani et al. (eds.), Geostatistics for Environmental and Geotechnical Applications, ASTM STP 1283, pp. 102–116.
Journel, A.G. (1986) Constrained interpolation and qualitative information. Mathematical Geology 18, 269–286.
McKay, M.D., Beckman, R.J. and Conover, W.J. (1979) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21, 239–245.
Mohammadi, J., Van Meirvenne, M. and P. Goovaerts. 1997. Mapping cadmium concentration and the risk of exceeding a local sanitation threshold using indicator geostatistics, in A. Soares et al. (eds.), geoENV I — Geostatistics for Environmental Applications, Kluwer Academic Publishers, Dordrecht, pp. 360–372.
Myers, J.C. (1997) Geo statistical Error Management: quantifying uncertainty for environmental sampling and mapping, Van Nostrand Reinhold, New-York.
Pebesma, E.J. and Heuvelink, G.B.M. (1999) Latin hypercube sampling of Gaussian random fields. Technometrics 41, 303–312.
Srivastava, R.M. (1987) Minimum variance or maximum profitability? CIM Bulletin 80(901): 63–68.
Van Groeningen, J.W. and Stein, A. (1998) Constrained optimization of spatial sampling using continuous simulated annealing. Journal of Environmental Quality, 27, 1078–1086.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Goovaerts, P., Van Meirvenne, M. (2001). Delineation of Hazardous Areas and Additional Sampling Strategy in Presence of a Location-Specific Threshold. In: Monestiez, P., Allard, D., Froidevaux, R. (eds) geoENV III — Geostatistics for Environmental Applications. Quantitative Geology and Geostatistics, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0810-5_11
Download citation
DOI: https://doi.org/10.1007/978-94-010-0810-5_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7107-6
Online ISBN: 978-94-010-0810-5
eBook Packages: Springer Book Archive