CASE STUDIES
Jul 15, 2011

Optimal Extension of Rain Gauge Monitoring Network for Rainfall Intensity and Erosivity Index Interpolation

Publication: Journal of Hydrologic Engineering
Volume 16, Issue 8

Abstract

Rain gauge monitoring networks are highly important for precipitation and erosion estimation. In general, measurement accuracy depends on the precipitation as well as on the network size and design. This paper proposes a method for assessing the optimal location of new monitoring stations within an existing rain gauge network. It takes account of precipitation as well as the prediction accuracy of rainfall erosivity. A well known geostatistical variance-reduction method is applied jointly with simulated annealing as an algorithm for objective function minimization. With respect to the first objective, the kriging variance of intensity estimation is minimized considering a reference duration of one hour. The erosion-related objective, meanwhile, is focused on the minimization of the kriging variance of estimation of the logarithm of the erosivity factor. The spatial variability of rainfall observed during the extreme rainfall event recorded in March 1973, which was the heaviest rainfall event in the period 1973–2003, is selected as the basis for developing the geostatistical approach. Scenarios in which the size of the initial network is increased by 25, 50, and 100% are tested. Another application is shown for increasing the network to meet the minimum requirement of the World Meteorological Organization relative to the network spatial density. Optimal single objective networks are compared for both the intensity and erosivity factor objectives. With regard to the new station locations, it is found that the optimal single objective networks differ by just one or two stations. Multiobjective optimization techniques are then applied to help in the network augmentation process. If both the spatial distribution of the rainfall intensity and the spatial distribution of the erosivity index are captured, this helps with the selection of the most relevant new stations. Results are identical to examples of single objectives when equal weighting factors are adopted for both objectives for the smallest augmentation scenario (only three new stations to be implemented). Different optimal rain gauge locations are obtained if one aspect is emphasized more than the other (rainfall versus erosion and vice versa) when a greater number of new stations is to be added (50 and 100% augmentation).

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Acknowledgments

The data are taken from the Tunisian Water Resources Department, DGRE (Tunisia). It is part of the Project “Modernisation et maintenance du réseau pluviométrique et pluviographique du Nord de la Tunisie,” which was financed by DGRE (2006). This work was partly supported by the scientific bilateral cooperation project between Tunisia and Portugal “Modèles de gestion des bassins versants” (2005–2006). The authors would also like to thank the reviewers for their helpful comments.

References

Ahmed, S., and De Marsily, G. (1987). “Comparison of geostatistical methods for estimating transmissivity using data on transmissivity and specific capacity.” Water Resour. Res., 23(9), 1717–1737.
Al-Zahrani, M., and Husain, T. (1998). “An algorithm for designing a precipitation network in the south-western region of Saudi Arabia.” J. Hydrol. (Amsterdam), 205(3–4), 205–216.
Barca, E., Passarella, G., and Uricchio, V. (2007). “Optimal extension of the rain gauge monitoring network of the Apulian Regional Consortium for Crop Protection.” Environ. Monit. Assess., 145(1–3), 375–386.
Bardossy, A., and Lehmann, W. (1998). “Spatial distribution of soil moisture in a small catchment. Part 1: Geostatistical analysis.” J. Hydrol. (Amsterdam), 206(1–2), 1–15.
Chen, Y.-C., Wei, C., and Yeh, H.-C. (2008). “Rainfall network design using kriging and entropy.” Hydrol. Processes, 22(3), 340–346.
Cheng, K.-S., Lin, Y.-C., and Liou, J.-J. (2008). “Rain-gauge network evaluation and augmentation using geostatistics.” Hydrol. Processes, 22(14), 2554–2564.
Cunha, M. C. (1999). “On solving aquifer management problems with simulated annealing algorithms.” Water Resour. Manage., 13(3), 153–169.
Cunha, M. C., and Sousa, J. (1999). “Water distribution network design optimization: Simulated annealing approach.” J. Water Resour. Plann. Manage., 125(4), 215–221.
Cunha, M. C., and Sousa, J. (2010). “Robust design of water distribution networks for a proactive risk management.” J. Water Resour. Plann. Manage., 136(2), 227–236.
Deutsch, C., and Journel, A. (1992). GSLIB: Geostatistical software library and user’s guide, Oxford University Press, New York.
DGRE (Water Resources Department in Tunisia). (2006). “Etude d’optimisation du réseau de suivi des ressources en eau en Tunisie: Modernisation et maintenance du réseau pluviométrique et pluviographique du Nord de la Tunisie.” Study by CONCEPT, BCEOM, and ENIT, Tunis, Tunisia (in French).
Digital Equipment Corporation. (1997). Fortran—Language reference manual, Maynard, MA
Dirks, K. N., Hay, J. E., Stow, C. D., and Harris, D. (1998). “High-resolution studies of rainfall on Norfolk Island, Part II: Interpolation of rainfall data.” J. Hydrol. (Amsterdam), 208(3–4), 187–193.
Dougherty, D. E., and Marryott, R. A. (1991). “Optimal groundwater management. 1: Simulated annealing.” Water Resour. Res., 27(10), 2493–2508.
Glatzer, E., and Muller, W. G. (2004). “Residual diagnostics for variogram fitting.” Comput. Geosci., 30(8), 859–866.
Goovaerts, P. (1999). “Using elevation to aid the geostatistical mapping of rainfall erosivity.” Catena, 34(3–4), 227–242.
Goovaerts, P. (2000). “Geostatistical approaches for incorporating elevation into the spatial interpolation of rainfall.” J. Hydrol. (Amsterdam), 228(1–2), 113–129.
Hamed, Y., et al. (2002). “Comparison between rainfall simulator erosion and observed reservoir sedimentation in an erosion-sensitive semiarid catchment.” Catena, 50(1), 1–16.
Iskander, M. G. (2008). “A computational comparison between two evaluation criteria in fuzzy multiobjective linear programs using possibility program.” Comput. Math. Appl., 55(11), 2506–2511.
Kallel, R., and Colombani, J. (1973). “Les crues exceptionnelles de Mars 1973 en Tunisie.” Direction Générale des Ressources En Eau, Ministère de l’Agriculture, Tunis, Tunisia (in French).
Lin, G. F., and Chen, L. H. (2004). “A spatial interpolation method based on radial basis function networks incorporating a semivariogram model.” J. Hydrol. (Amsterdam), 288(3–4), 288–298.
Marler, R. T., and Arora, J. S. (2004). “Survey of multi-objective optimization methods for engineering.” Struct. Multidiscip. Optim., 26(6), 369–395.
Masson, J. M. (2010). “L’érosion des sols par l’eau en climat méditerranéen. Méthodes expérimentales pour l’étude des quantités érodées à l’échelle du champ.” La Houille blanche, 8(8), 673–678 (in French).
Metropolis, N., Rosenbluth, A., Rosenbluth, M., Teller, A., and Teller, E. (1953). “Equation of state calculations by fast computing machines.” J. Chem. Phys., 21(6), 1087–1092.
Moss, M. E., and Tasker, G. D. (1991). “An intercomparison of hydrological network-design technologies.” Hydrol. Sci. J., 36(3), 209–221.
Nunes, L. M., Cunha, M. C. C., and Ribeiro, L. (2004a). “Optimal space-time coverage and exploration costs in groundwater monitoring networks.” Environ. Monit. Assess., 93(1–3), 103–124.
Nunes, L. M., Paralta, E., Cunha, M. C., and Ribeiro, L. (2004b). “Groundwater nitrate monitoring network optimization with missing data.” Water Resour. Res., 40, W02406.
Otten, R. H. J. M., and Van Ginneken, L. P. P. P. (1988). “Stop criteria in simulated annealing.” Proc. IEEE Int. Conf. on Computer Design, IEEE, Rye Brook, NY, 549–552.
Pardo-Iguzquiza, E. (1998). “Optimal selection of number and location of rainfall gauges for areal rainfall estimation using geostatistics and simulated annealing.” J. Hydrol. (Amsterdam), 210(1–4), 206–220.
Rao, S. V. N., Srinivasulu, V., Bhallamudi, S. M., Thandaveswara, B. S., and Sudheer, K. P. (2004). “Planning groundwater development in coastal aquifers.” Hydrol. Sci. J., 49(1), 155–170.
Renard, K. G., Foster, G. R., Weesies, G. A., McCool, D. K., and Yoder, D. C. (1997). “Predicting soil loss by water: A guide to conservation planning with the revised soil loss equation (RSULE).” Handbook, Vol. 703, U.S. Dept. of Agriculture, Washington, DC.
Syed, K. H., Goodrich, D. C., Myers, D. E., and Sorooshian, S. (2003). “Spatial characteristics of thunderstorm rainfall fields and their relation to runoff.” J. Hydrol. (Amsterdam), 271(1–4), 1–21.
Tsintikidis, D., Georgakakos, K. P., Sperfslage, J. A., Smith, D. E., and Carpenter, T. M. (2002). “Precipitation uncertainty and raingauge network design within Folsom Lake Watershed.” J. Hydrol. Eng., 7(2), 175–184.
Wischmeier, W. H., and Smith, D. D. (1978). “Predicting rainfall erosion losses.” Agricultural Handbook 537, USDA Science and Education Administration, Washington, DC.
World Meteorological Organization (WMO). (1994). “Guide to hydrological practices, data acquisition and processing, analysis forecasting and other applications, design and evaluation of hydrological networks.” 168, Geneva.
Zahar, Y., and Laborde, J. P. (2001). “Génération stochastique d’averses et de leurs index d’érosivité pour la simulation de la dynamique érosive en Tunisie Centrale.” Hydrol. Sci. J., 46(2), 243–253 (in French).

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Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 16Issue 8August 2011
Pages: 665 - 676

History

Received: Sep 17, 2009
Accepted: Oct 25, 2010
Published online: Jul 15, 2011
Published in print: Aug 1, 2011

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Authors

Affiliations

Afef Chebbi [email protected]
Ph.D. Student, National School of Engineering of Tunis, Laboratory of Modelling in Hydrology and Environment, BP 37 1002 Tunis, Tunisia (corresponding author). E-mail: [email protected]
Zoubeida Kebaili Bargaoui
Professor, National School of Engineering of Tunis, Laboratory of Modelling in Hydrology and Environment, BP 37 1002 Tunis, Tunisia.
Maria da Conceição Cunha
Professor, Civil Engineering Dept., Univ. of Coimbra, Polo II da Universidade-Pinhal de Marrocos 3030-290 Coimbra, Portugal.

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