Regional Streamflow Estimation by Standard Regional Dependence Function Approach
Publication: Journal of Hydraulic Engineering
Volume 131, Issue 11
Abstract
The main purpose of this paper is to propose a standard regional dependence function (SRDF) based on concepts of semivariogram and especially point cumulative semivariogram for regional streamflow estimation. The SRDFs are obtained from available spatial data and show regional dependence, which decreases with distance from a given site. These functions present quantitatively the regional dependence of the streamflow phenomenon recorded at irregular sites over a drainage basin and provide a unique opportunity for the establishment of regional objective estimation method based on weighed averages. The weightings are obtained by means of the SRDF given the distance between any two sites. The implementation of the proposed methodology is presented for some streamflow records from the Lower and Upper Mississippi River watershed in the United States. For the application, the experimental SRDF forms are first obtained from the available data, and these are then employed directly in the regional estimation procedure. The study indicated that the use of all the stations in a region for the estimation at any particular station is rather naïve because far away stations (more than 1,000 km away) are taken into consideration. The final conclusion is that discharge at any particular station is better described as a function of discharge at several (3–5) closest stations. The reliability of the method is measured through the cross validation procedure, and it is observed that the procedure yields streamflow predictions with less than 10% relative error.
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References
Aboufirassi, M., and Marino, M. A. (1984). “A geostatistically based approach to the identification of aquifer transmissivities in Yolo Basin, California.” Math. Geol., 16(26), 125–137.
Altunkaynak, A. (2004). “Significant wave height prediction by using a spatial model.” Ocean Eng., 32(8–9), 924–936.
American Society for Civil Engineers (ASCE). Task Committee on Geostatistical Techniques in Geohydrology of the Ground water Hydrology Committee of the ASCE Hydraulics Division. (1990). “Review of geostatistics in geohydrology: I. Basic concepts.” J. Hydraul. Eng., 116(5), 612–632.
Barnes, S L. (1964). “A technique for maximizing details in numerical weather map analysis.” J. Appl. Meteorol., 3, 396–409.
Box, G. F. P., and Jenkins, G. M. (1976). Time series analysis forecasting and control, Holden Day, San Francisco.
Bras, R. L., and Iturbe, R. I. (1985). Random function in hydrology, Addison-Wesley, Reading, Mass.
Cressman G. P. (1959). “An operational objective analysis system.” Mon. Weather Rev., 87(10), 367–374.
Huang, W. C., and Yang, F. T. (1998). “Streamflow estimation by using Kriging.” Water Resour. Res., 34(6), 1599–1608.
Journel, A. G., and Huijbregts, Ch. J. (1978). Mining geostatistic, Academic, London.
Matheron, G. (1963). “Principles of geostatistics.” Econ. Geol., 58, 1246–1266.
Peng, C. S., and Buras, N. (2000). “Practical estimation of inflows into multireservoir system.” J. Water Resour. Plan. Manage., 126(5), 331–334.
Şahin, A. D., and Şen, Z. (2004). “A new spatial prediction model and its application to wind records.” Theor. Appl. Climatol., 79 (1–2), 45–54.
Salas, J. D., Delleur, J. W., Yevjevich, V. and Lane, W. L., (1985). Applied modeling of hydrologic time series, Water Resources, Littleton, Colo.
Sasaki, Y. (1960) “An objective analysis for determination of initial condition for the primitive equation.” Tech. Rep. No. Ref. 60-16T, Texas A&M Univ., College Station, Tex.
Şen, Z. (1974). “Small sample properties of stationary stochastic processes and the Hurst phenomenon in hydrology.” PhD thesis, University of London, London.
Şen, Z. (1989). “Cumulative semivariogram model of regionalized variable.” Math. Geol. 21, 891–903,
Şen, Z. (1997). “Objective analysis by cumulative semivariogram technique and its application in Turkey.” J. Appl. Meteorol., 36(12), 1712–1724.
Şen, Z., and Şahin, A. D. (1998). “Regional wind energy evaluation in some parts of Turkey.” J. Wind. Eng. Ind. Aerodyn., 74–76, 345–353.
Subyani, A., and Şen, Z. (1989). “Geostatistical modelling of Wasia aquifer in central Saudi Arabia.” J. Hydrol., 110, 295–314.
Thiebaux, H. J., and Pedder, M. A. (1987). Spatial objective analysis with applications in atmospheric sciences, Academic, New York.
Thomas, H. A., Jr., and Fiering, M. B. (1962). “Mathematical synthesis of streamflow sequences for the analysis of river basins by simulation.” Design of water resources systems, A. Mass et al., Chap. 12, Harvard University Press, Cambridge, Mass.
Wilson, K. V., and Trotter, I. L. (1961). “Floods in Mississippi, magnitude and frequency.” U.S. Geological Survey Open File Rep. No. 362, Miss.
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Published In
Journal of Hydraulic Engineering
Volume 131 • Issue 11 • November 2005
Pages: 1001 - 1006
Copyright
© ASCE.
History
Received: Apr 23, 2003
Accepted: Jan 24, 2005
Published online: Nov 1, 2005
Published in print: Nov 2005
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