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D. Dowson, A. Wragg (1973)
Maximum-entropy distributions having prescribed first and second moments (Corresp.)IEEE Trans. Inf. Theory, 19
S. Chamberlain, C. Beckers, G. Grimsrud, R. Shull (1974)
QUANTITATIVE METHODS FOR PRELIMINARY DESIGN OF WATER QUALITY SURVEILLANCE SYSTEMS1Journal of The American Water Resources Association, 10
Jacob Jewusiak (2013)
Just a MomentNovel: A Forum on Fiction, 46
Chamberlain Chamberlain (April 1974)
Quantitative methods for preliminary design of water quality surveillance systemsWater Resources Bulletin, 10
D. Toro, D. O'connor (1968)
The Distribution of Dissolved Oxygen in a Stream with Time Varying VelocityWater Resources Research, 4
D. Loucks, W. Lynn (1966)
Probabilistic models for predicting stream qualityWater Resources Research, 2
Cornell Cornell (Dec., 1972)
First order analysis of model and parameter uncertainty, ProceedingsInternational Symposium on Uncertainties in Hydrologic and Water Resource Systems, Vol. III
Thayer Thayer, Krutchkoff Krutchkoff (June 1967)
Stochastic model for BOD and DO in streamsJournal of the Sanitary Engineering Division, ASCE, 93
Yu Yu (Dec., 1972)
Uncertainties in water quality monitoring: The case of atmospheric reaeration, ProceedingsInternational Symposium on Uncertainties in Hydrologic and Water Resources Systems, Vol. III
ABSTRACT. Recent advances in water quality modelling have pointed out the need for stochastic models to simulate the probabilistic nature of water quality. However, often all that is needed is an estimate of the uncertainty in predicting water quality variables. First order analysis is a simple method of providing an estimate in the uncertainty in a deterministic model due to uncertain parameters. The method is applied to the simplified Streeter‐Phelps equations for DO and BOD; a more complete Monte Carlo simulation is used to check the accuracy of the results. The first order analysis is found to give accurate estimates of means and variances of DO and BOD up to travel times exceeding the critical time. Uncertainty in travel time and the BOD decay constant are found to be most important for small travel times; uncertainty in the reaeration coefficient dominates near the critical time. Uncertainty in temperature was found to be a negligible source of uncertainty in DO for all travel times.
Journal of the American Water Resources Association – Wiley
Published: Feb 1, 1975
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