The Construction of a Probability Distribution for Rainfall on a Watershed by Simulation

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Author
Williamson, Gary
Davis, Donald Ross
Affiliation
Systems & Industrial Engineering, University of Arizona, Tucson, Arizona 85721
Issue Date
1972-05-06
Keywords
Hydrology -- Arizona.
Water resources development -- Arizona.
Hydrology -- Southwestern states.
Water resources development -- Southwestern states.
Probability
Distribution patterns
Rainfall
Simulation analysis
Model studies
Watersheds (basins)

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Copyright ©, where appropriate, is held by the author.
Collection Information
This article is part of the Hydrology and Water Resources in Arizona and the Southwest collections. Digital access to this material is made possible by the Arizona-Nevada Academy of Science and the University of Arizona Libraries. For more information about items in this collection, contact anashydrology@gmail.com.
Publisher
Arizona-Nevada Academy of Science
Journal
Hydrology and Water Resources in Arizona and the Southwest
Abstract
A raingage reading is a sample from the point rainfall population of an area. The actual average rainfall on the area (watershed) is a conditional probability distribution. For the case of thunderstorm rainfall this distribution is simulated by looking at all storms that could have produced the raingage reading. The likelihood of each storm is a function of its center depth. The amount of rain dumped on the watershed by each storm is weighted by the likelihood of its occurence and the totality of such calculations is used to produce a probability distribution of rainfall on the watershed. Examples are given to illustrate the versatility of the program and its possible use in decision analysis.
ISSN
0272-6106
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