Research Article
Nov 1968
Analytically Derived Unit Graph and Runoff
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VIEW THE REPLYAuthors: Roger P. Betson and Ralph F. GreenAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 94, Issue 6
Abstract
A technique has been programed to solve analytically for measures of precipitation excess and unit graph shape parameters. The optimization procedures achieved a very high degree of adjustment of the model to data, but the results were inconsistent. The paper describes the development of an objective fitting technique. A two-step fitting procedure was devised which substantially increased the objectivity of the fitting technique. The two shape parameters were first individually corrected by a univariate technique to near-optimum values. This reduced the effect of the higher-order partial derivatives with respect to the shape parameters. The simultaneous differential correction technique was then used to obtain corrections for both the shape parameters and the runoff parameters. While this two-step solution technique does not quite yield exact results, they are close enough to the desired values and can be obtained consistently from different starting points.
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Published In
Journal of the Hydraulics Division
Volume 94 • Issue 6 • November 1968
Pages: 1489 - 1506
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Nov 1968
Published online: Feb 3, 2021
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Authors
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Roger P. Betson
Head, Hydrologic Research and Analysis Staff, Tennessee Valley Authority, Knoxvtlle, Tenn
Ralph F. Green
Resource Analyst, Hydrologic Research and Analysis Staff, Tennessee Valley Authority, Knoxville, Tenn
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