Groundwater Monitoring Network Optimization with Redundancy Reduction
Publication: Journal of Water Resources Planning and Management
Volume 130, Issue 1
Abstract
Three optimization models are proposed to select the best subset of stations from a large groundwater monitoring network: (1) one that maximizes spatial accuracy; (2) one that minimizes temporal redundancy; and (3) a model that both maximizes spatial accuracy and minimizes temporal redundancy. The proposed optimization models are solved with simulated annealing, along with an algorithm parametrization using statistical entropy. A synthetic case-study with 32 stations is used to compare results of the proposed models when a subset of 17 stations are to be chosen. The first model tends to distribute the stations evenly in space; the second model clusters stations in areas of higher temporal variability; and results of the third model provide a compromise between the first two, i.e., spatial distributions that are less regular in space, but also less clustered. The inclusion of both temporal and spatial information in the optimization model, as embodied in the third model, contributes to selection of the most relevant stations.
Get full access to this article
View all available purchase options and get full access to this article.
References
Aarts, E., and Korst, J. (1990). Simulated Annealing and Boltzmann Machines, Wiley, New York.
Ahlfeld, D. P., and Pinder, G. F. (1988). A Ground Water Monitoring Network Design Algorithm, Dept. of Civil Engineering and Operations Research, Princeton University, Princeton, N.J.
Amorocho, J., and Espildora, B.(1973). “Entropy in the assessment of uncertainty of hydrologic systems and models.” Water Resour. Res., 9(6), 1511–1522.
Bastin, G., Lorent, B., Duque, C., and Gevers, M.(1984). “Optimal estimation of the average rainfall and optimal selection of rain-gauge locations.” Water Resour. Res., 20(4), 463–470.
Bras, R. L., and Rodrguez-Iturbe, I.(1976). “Network design for the estimation of areal mean of rainfall events.” Water Resour. Res., 12(6), 1185–1195.
Bras, R. L., and Rodriguez-Iturbe, I. (1975). Rainfall-Runoff as Spatial Stochastic Processes: Data Collection and Synthesis, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, Dept. of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
Buxton, B. E., and Pate, A. D. (1994). “Joint temporal-spatial modeling of concentrations of hazardous pollutants in urban air.” Proc., Geostatistics for the Next Century, R. Dimitrakopoulos, ed., Kluwer Academic, Dordrecht, The Netherlands, 75–87.
Caselton, W. F., and Husain, T.(1980). “Hydrologic networks: Information transmission.” J. Water Resour. Plan. Manage. Div., Am. Soc. Civ. Eng., 106(2), 503–520.
Cunha, M. C., and Sousa, J.(1999). “Water distribution network design optimization: Simulated annealing approach.” J. Water Resour. Plan. Manage. Div., Am. Soc. Civ. Eng., 125(4), 215–221.
David, M. (1977). Geostatistical Ore Reserve Estimation, Elsevier, Amsterdam.
Delhomme, J. P.(1978). “Kriging in the hydrosciences.” Adv. Water Resour., 1(5), 251–266.
Dimitrakopoulos, R., and Luo, X. (1994). “Spatiotemporal modelling: Covariances and ordinary kriging systems.” Proc., Geostatistics for the Next Century, R. Dimitrakopoulos, ed., Kluwer Academic, Dordrecht, The Netherlands, 88–93.
Dixon, W., and Chiswell, B.(1996). “Review of aquatic monitoring program design.” Water Resour., 30(9), 1935–1948.
Grabow, G. L., Mote, C. R., Sanders, W. L., Smoot, J. L., and Yoder, D. C.(1993). “Groundwater monitoring network using minimum well density.” Water Sci. Technol., 28(3–5), 327–335.
Harmancioglu, N., and Alspaslan, N.(1992). “Water quality monitoring network design: A problem of multi-objective decision making.” Water Resour. Bull., 28(2), 179–192.
Harmancioglu, N., and Yevjevich, V.(1987). “Transfer of hydrologic information among river points.” J. Hydrol., 91, 103–118.
Harmancioglu, N. B., Fistikoglu, O., Ozkul, S. D., Singh, V. P., and Alspaslan, M. N. (1999). Water Quality Monitoring Network Design, Kluwer Academic, Dordrecht, The Netherlands.
Hsu, N. S., and Yeh, W.(1989). “Optimum experimental design for parameter identification in groundwater hydrology.” Water Resour. Res., 25(5), 1025–1040.
Husain, T.(1989). “Hydrologic uncertainty measure and network design.” Water Resour. Bull., 25(3), 527–534.
Ingber, L.(1993). “Simulated annealing: Practice versus theory.” J. Mathl. Comput. Modelling, 18(11), 29–57.
Journel, A., and Huijbregts, Ch. (1978). Mining Geostatistics, Academic Press, New York.
Kirkpatrick, S., Gellat, C. D., Jr., and Vecchi, M. P.(1983). “Optimization by simulated annealing.” Science,220, 671–680.
Knopman, D. S., and Voss, C. I.(1989). “Multiobjective sampling design for parameter estimation and model discrimination in groundwater solute transport.” Water Resour. Res., 25(10), 2245–2258.
Lebel, T., Bastin, G., Obled, C., and Creutin, J. D.(1987). “On the accuracy of areal rainfall estimation: A case study.” Water Resour. Res., 23(11), 2123–2134.
Lenton, R. L., and Rodrguez-Iturbe, I. (1974). On the Collection, the Analysis, and the Synthesis of Spatial Rainfall Data, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, Dept. of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
Loaiciga, H. A.(1989). “An optimization approach for groundwater quality monitoring network design.” Water Resour. Res., 25(8), 1771–1782.
Loaiciga, H. A., Charbeneau, R. J., Everett, L. G., Fogg, G. E., Hobbs, B. F., and Rouhani, S.(1992). “Review of ground-water quality monitoring network design.” J. Hydraul. Eng., 118(1), 11–37.
Massmann, J., and Freeze, R. A.(1987a). “Groundwater contamination from waste management sites: The interaction between risk-based engineering design and regulatory policy, 1. Methodology.” Water Resour. Res., 23(2), 351–367.
Massmann, J., and Freeze, R. A.(1987b). “Groundwater contamination from waste management sites: The interaction between risk-based engineering design and regulatory policy, 2. Results.” Water Resour. Res., 23(2), 368–380.
Matheron, G. (1970). “La théorie des variables régionalizées, et ses applications.” Les Cahiers du Centre de Morphologie Mathématique de Fontainbleau, Fascicule 5.
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and Teller, E.(1953). “Equation of state calculations by fast computing machines.” J. Chem. Phys., 21, 1087–1092.
Meyer, P. D., Valocchi, A. J., and Eheart, J. W.(1994). “Monitoring network design to provide initial detection of groundwater contamination.” Water Resour. Res., 30(9), 2647–2659.
Nixon, S. C. (1996). “European freshwater monitoring network design.” Topic Rep. No. 10/1996, European Environment Agency, Copenhagen.
Nixon, S. C., Rees, Y. J., Gendebien, A., and Ashley, S. J. (1996). “Requirements for water monitoring.” Topic Rep. No. 1/1996, European Environment Agency, Copenhagen.
Pardo-Igúzquiza, E.(1998). “Optimal selection of number and location of rainfall gauges for areal rainfall estimation using geostatistics and simulated annealing.” J. Hydrol., 210, 206–220.
Reed, P., Minsker, B., and Valocchi, A. J.(2000). “Cost-effective long-term groundwater monitoring design using a genetic algorithm and global mass interpolation.” Water Resour. Res., 36(12), 3731–3741.
Rodrguez-Iturbe, I., and Meja, J. M.(1974a). “The design of rainfall networks in time and space.” Water Resour. Res., 10(4), 713–728.
Rodrguez-Iturbe, I., and Meja, J. M.(1974b). “On the transformation of point rainfall to areal rainfall.” Water Resour. Res., 10(4), 729–736.
Rouhani, S.(1985). “Variance reduction analysis.” Water Resour. Res., 21(6), 837–846.
Rouhani, S., and Hall, T.(1988). “Geostatistical schemes for groundwater sampling.” J. Hydrol., 103, 85–102.
Sacks, J., and Schiller, S. (1988). “Spatial designs.” Spatial Designs in Statistical Decision Theory and Related Topics IV, S. S. Gupta and J. O. Berger, eds., Springer, New York, 385–399.
Task Committee on Geostatistical Techniques in Geohydrology of the Ground Water Hydrology/Committee of the ASCE Hydraulics, Division. (1990a). “Review of geostatistics in geohydrology: I. Basic concepts.” J. Hydraul. Eng., 116(5), 612–632.
Task Committee on Geostatistical Techniques in Geohydrology of theGround Water Hydrology/Committee of the ASCE Hydraulics, Division. (1990b). “Review of geostatistics in geohydrology: II. Applications.” J. Hydraul. Eng., 116(5), 633–658.
Thompson, S. K. (1992). Sampling, Wiley, New York.
Wagner, B. J., and Gorelick, S. M.(1989). “Reliable aquifer remediation in the presence of spatially variable hydraulic conductivity: From data to design.” Water Resour. Res., 25(10), 2211–2225.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 130 • Issue 1 • January 2004
Pages: 33 - 43
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Mar 20, 2002
Accepted: Oct 1, 2002
Published online: Dec 15, 2003
Published in print: Jan 2004
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.