Research Article
Jun 1979
Estimation of BOD and DO Probability Distribution
Authors: William J. Padgett and A. N. V. RaoAuthor Affiliations
Publication: Journal of the Environmental Engineering Division
Volume 105, Issue 3
Abstract
Two parameters generally accepted as the primary indicators of the state of organic pollution of a stream are the biochemical oxygen demand (5-day BOD) and the dissolved oxygen (DO). A random differential equation is presented whose solution is a stochastic process representing the BOD and DO at position t downstream from the source of pollution. Using the solution of the random differential equation and bivariate probability density estimation techniques an estimate of the probability distribution of BOD and DO at position t1 along a stretch of stream is derived based on n observed values of BOD and DO at that point. The estimated distribution is used to obtain the probability distribution of BOD and DO at other points t along the stretch and to obtain probability bounds on the BOD and DO at t. In particular, the probability of DO below a minimum specified level can be computed in order to control the pollution input. A numerical example is given for a typical stream.
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Information
Published In
Journal of the Environmental Engineering Division
Volume 105 • Issue 3 • June 1979
Pages: 525 - 533
Copyright
© 1979 American Society of Civil Engineers.
History
Published in print: Jun 1979
Published online: Feb 11, 2021
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Authors
Affiliations
William J. Padgett
Prof. of Statistics and Mathematics; Dept. of Mathematics, Computer Sci., and Statistics, Univ. of South Carolina, Columbia, S.C., USA
A. N. V. Rao
Assoc. Prof. of Mathematics; Dept. of Mathematics, Univ. of South Florida, Tampa, Fla., USA
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
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