TECHNICAL PAPERS
Feb 19, 2004

Striking the Balance: Long-Term Groundwater Monitoring Design for Conflicting Objectives

Publication: Journal of Water Resources Planning and Management
Volume 130, Issue 2

Abstract

This study demonstrates the use of high-order Pareto optimization (i.e., optimizing a system for more than two objectives) on a long-term monitoring (LTM) application. The LTM application combines quantile kriging and the nondominated sorted genetic algorithm-II (NSGA-II) to successfully balance four objectives: (1) minimizing sampling costs, (2) maximizing the accuracy of interpolated plume maps, (3) maximizing the relative accuracy of contaminant mass estimates, and (4) minimizing estimation uncertainty. Optimizing the LTM application with respect to these objectives reduced the decision space of the problem from a total of 500 million designs to a set of 1,156 designs identified on the Pareto surface. Visualization of a total of eight designs aided in understanding and balancing the objectives of the application en route to a single compromise solution. This study shows that high-order Pareto optimization holds significant potential as a tool that can be used in the balanced design of water resources systems.

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References

ASCE Task Committee on Geostatistical Techniques. (1990a). “Review of geostatistics in geohydrology. I: Basic concepts.” J. Hydraul. Eng., 116(5), 612–632.
ASCE Task Committee on Geostatistical Techniques. (1990b). “Review of geostatistics in geohydrology: II. Applications.” J. Hydraul. Eng., 116(5), 633–658.
Aziz, J. J., Newell, C. J., Rifai, H. S., Ling, M., and Gonzales, J. R. (2000). Monitoring and remediation optimization system (MAROS): Software user’s guide, version 1, United States Air Force Center for Environmental Excellence, Brooks AFB, San Antonio.
Buras, N.(2001). “Water resources—Unresolved issues.” J. Water Resour. Plan. Manage., 127(6), 353.
Cameron, K., and Hunter, P. (2000). “Optimization of LTM networks: Statistical approaches to spatial and temporal redundancy.” Proc., American Institute of Chemical Engineers, 2000 Spring National Meeting, Remedial Process Optimization Topical Conference, Atlanta.
Chilès, J. P., and Delfiner, P. (1999). Geostatistics: Modeling spatial uncertainty, Wiley Series in Probability and Statistics, Wiley, New York.
Cooper, R. M., and Istok, J. D.(1988). “Geostatistics applied to ground water contamination. I: Methodology.” J. Environ. Eng., 114(2), 270–286.
Deb, K., Agrawal, S., Pratap, A., and Meyarivan, T. (2000). “A fast elitist nondominated sorting genetic algorithm for multiobjective optimization: NSGA-II.” Kanpur Genetic Algorithm Laboratory (KanGAL) Rep. No. 200001, Indian Institute of Technology, Kanpur, India.
Deb, K., Thiele, L., Laumanns, M., and Zitzler, E. (2001). “Scalable test problems for evolutionary multiobjective optimization.” Computer Engineering and Networks Laboratory Report (TIK-112), Department of Electrical Engineering, Swiss Federal Institute of Technology, Zurich, Switzerland.
De Neufville, R. (1990). Applied systems analysis: Engineering planning and technology management, McGraw–Hill, New York.
Goldberg, D. E. (1989). Genetic algorithms in search, optimization, and machine learning, Addison–Wesley, New York.
Goovaerts, P. (1997). Geostatistics for natural resource evaluation, Oxford University Press, New York.
Hogg, R. V., and Tanis, E. A. (1997). Probability and statistical inference, 5th Ed., Prentice–Hall, Upper Saddle River, N.J.
Horn, J. (1997). “The nature of niching: Genetic algorithms and the evolution of optimal, cooperative populations.” Doctoral dissertation, University of Illinois, Urbana, Ill.
Holland, J. H. (1975). Adaptation in natural and artificial systems, University of Michigan, Ann Arbor, Mich.
Hughes, J. P., and Lettenmaier, D. P.(1981). “Data requirements for kriging: Estimation and network design.” Water Resour. Res., 17(6), 1641–1650.
Journel, A. G., and Deutsch, C. V. (1997). “Rank order Geostatistics: A proposal for a unique coding and common processing of diverse data.” E. Y. Baafi and N. A. Schofield, eds., Geostatistics Wollongong ’96, Proceedings of the 5th International Geostatistics Congress, Wollongong, Australia, Kluwer, Dordrecht, The Netherlands, Vol. 1.
Johnson, V. M., Tuckfield, R. C., Ridley, M. N., and Anderson, R. A.(1996). “Reducing the sampling frequency of groundwater monitoring wells.” Environ. Sci. Technol., 30(1), 355–358.
Juang, K. W., Lee, D.-Y., and Ellsworth, T. R.(2001). “Using rank-order geostatistics for spatial interpolation of highly skewed data in a heavy-metal contaminated site.” J. Environ. Qual., 30, 894–903.
Kitanidis, P. K. (1997). Introduction to geostatistics with applications in hydrogeology, Cambridge University Press, New York.
Loaiciga, H.et al. (1992). “Review of ground-water quality monitoring network design.” J. Hydraul. Eng., 118(1), 11–37.
Lobo, F. (2000). “The parameterless genetic algorithm: Rational and automated parameter selection for simplified genetic algorithm operation.” Doctoral dissertation, Universidad Nova de Lisboa, Faculdade de Cie⁁ncias e Tecnologia, Spain.
Maxwell, R. M., and Kastenberg, W. E.(1999). “Stochastic environmental risk analysis: An integrated methodology for predicting cancer risk from contaminated ground water.” Stoch. Environ. Res. Risk Assess., 13(1), 27–47.
Maxwell, R. M., Carle, F. S., and Tompson, F. B. (2000). “Contamination, risk, and heterogeneity: On the effectiveness of aquifer remediation.” Lawrence Livermore National Laboratory Report. Rep. No. UCRL-JC-139664, Livermore, Calif.
Reed, P., Minsker, B., and Valocchi, A. J.(2000a). “Cost effective long-term groundwater monitoring design using a genetic algorithm and global mass interpolation.” Water Resour. Res., 36(12), 3731–3741.
Reed, P., Minsker, B., and Goldberg, D. E.(2000b). “Designing a competent simple genetic algorithm for search and optimization.” Water Resour. Res., 36(12), 3757–3761.
Reed, P., Minsker, B., and Goldberg, D. E.(2001). “A multiobjective approach to cost effective long-term groundwater monitoring using an Elitist Nondominated Sorted Genetic Algorithm with historical data.” J. Hydroinformatics, 3(2), 71–90.
Reed, P. (2002). “Striking the balance: Long-term groundwater monitoring design for multiple conflicting objectives.” Doctoral Dissertation, University of Illinois, Urbana, Ill.
Rouhani, S.(1985). “Variance reduction analysis.” Water Resour. Res., 21(6), 837–846.
Rouhani, S., and Hall, T. J.(1988). “Geostatistical schemes for groundwater sampling.” J. Hydrol., 103, 85–102.
Zitzler, E., Laumanns, M., and Thiele, L. (2001). “SPEA2: Improving the strength Pareto evolutionary algorithm, computer engineering and networks laboratory report.” Rep. No. TIK-103, Department of Electrical Engineering, Swiss Federal Institute of Technology, Zurich, Switzerland.

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Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 130Issue 2March 2004
Pages: 140 - 149

History

Received: Apr 22, 2002
Accepted: Apr 18, 2003
Published online: Feb 19, 2004
Published in print: Mar 2004

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Authors

Affiliations

Patrick M. Reed
Assistant Professor, Dept. of Civil and Environmental Engineering, The Pennsylvania State Univ., 215B Sackett Building, University Park, PA 16802-1408.
Barbara S. Minsker
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Illinois at Urbana–Champaign, 3230d NCEL, MC. 250, 205 N. Mathews Ave., Urbana, IL, 61801.

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