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Fitting a Gamma Distribution Over a Synthetic Unit Hydrograph 1
Author(s) -
Aron Gert,
White Elizabeth L.
Publication year - 1982
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1982.tb04533.x
Subject(s) - hydrograph , unit (ring theory) , runoff model , graph , computer science , set (abstract data type) , surface runoff , distribution (mathematics) , point (geometry) , simple (philosophy) , gamma distribution , mathematics , statistics , geometry , mathematical analysis , theoretical computer science , machine learning , ecology , philosophy , mathematics education , epistemology , watershed , biology , programming language
Several methods for synthetic unit hydrographs are available in the literature. Most of these methods involve the hand fitting of a curve over a set of a few hydrograph points, which can sometimes be a subjective task. Besides, the user often finds it difficult or simply neglects to adjust the generated unit graph to a runoff volume of one unit (inch, cm, or mm). It is the purpose of this paper to present to the design hydrologist a simple method to fit a smooth gamma distribution over a single point specified by the unit hydrograph peak and the time to peak with a guaranteed unit depth of runoff.