TECHNICAL PAPERS
Oct 1, 1983

Mixed‐Station Extension of Monthly Streamflow Records

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 10

Abstract

Monthly streamflow records at a site are sometimes extended by exploiting interstation correlation of streamflow, often through simple linear regression with a base station having a long‐term record. An approach is presented which selects a base station from among several in a region for filling in missing data. It differs from traditional approaches in that different stations can be selected as the base station to fill in different values. The approach also provides a decision rule for using only flow values from the same month or all flow values in developing the extension equation used for estimating a particular missing value. A previously presented extension equation to minimize variance bias of the flows estimated at the short‐record station is shown to be applicable to this technique. The possibility of using this extension equations to adjust the results of multiple regression in order to account for variance reduction is also suggested.

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References

1.
Aitchison, J., and Brown, J. A. C., The Lognormal Distribution, Cambridge University Press, London, England, 1957.
2.
Beard, L. R., Fredrich, A. J., and Hawkins, E. F., “Estimating Monthly Streamflows Within a Region,” Tech. Paper 18, The Hydrologic Engineering Center, U.S. Army Corps of Engineers, 1970, 14 pp.
3.
Fiering, M. B., “On the Use of Correlation to Augment Data,” Journal of the American Statistical Association, Vol. 57, Mar., 1962, pp. 20–32.
4.
Hirsch, R. M., “An Evaluation of Some Record Reconstruction Techniques,” Water Resources Research, Vol. 15, No. 6, 1979, pp. 1781–1790.
5.
Hirsch, R. M., “A Comparison of Four Streamflow Record Extension Techniques,” Water Resources Research, Vol. 18, No. 4, 1982, pp. 1081–1088.
6.
Kottegoda, N. T., and Elgy, J., “Infilling Missing Flow Data,” Proceedings, The Fort Collins Third International Hydrology Symposium on Applied and Theoretical Hydrology, Water Resources Publications, 1979, pp. 60–73.
7.
Kritskiy, S. N., and Menkel, J. F., “Some Statistical Methods in the Analysis of Hydrologic Series,” Soviet Hydrology: Selected Papers, Issue No. 1, 1968, pp. 80–98.
8.
Matalas, N. C., and Jacobs, B. A., “A Correlation Procedure for Augmenting Hydrologic Data,” U.S. Geol. Surv. Prof. Paper 434‐E, 1964.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 10October 1983
Pages: 1272 - 1284

History

Published online: Oct 1, 1983
Published in print: Oct 1983

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Authors

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William M. Alley
Hydro., U.S. Geological Survey, Reston, Va.
Alan W. Burns
Hydro., U.S. Geological Survey, Lakewood, Colo.

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