TECHNICAL PAPERS
Feb 1, 1984

Uncertainty Analysis of First Order Decay Model

Publication: Journal of Environmental Engineering
Volume 110, Issue 1

Abstract

Relationships to estimate confidence intervals for linear regressions were presented to determine the uncertainty of estimates obtained from firstorder models, when the concentration in grab samples of the parameter studied has a lognormal distribution. This uncertainty is a function of the number of samples on which the model was calibrated, the locations where these samples were taken, and the variance of the grab sample. Also shown is an estimate of the probability that the true value of the predicted parameter lies above a given critical value, even though its estimate is below that value. This probability can be used as a criterion to determine if the model's results are adequate for the modeler's purposes, or to estimate how many additional samples are required to reduce this probability to levels that are acceptable, or both. As a consequence, sampling, modeling, and decision making based on the model's output is presented as one cycle within an iterative process.

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References

1.
Aitchison, J., and Brown, J. A. C., The Lognormal Distribution, Cambridge University Press, New York, N.Y., 1969.
2.
Berthouex, P. M., “Modeling Concepts Considering Process Performance, Variability and Uncertainty,” Mathematical Modeling for Water Pollution Control Processes, T. N. Keniath and M. P. Wanielsta, eds., Ann Arbor Publishers, Inc., Ann Arbor, Mich., 1975, pp. 405–440.
3.
Environmental Protection Agency, Quality Criteria for Water, Office of Water and Hazardous Materials, Washington, D.C., 1976.
4.
Gardner, R. H., Mankin, J. B., and Shugart, H. H., Jr., The COMEX Computer Code Documentation and Description, Oak Ridge National Laboratory, Oak Ridge, Tenn., EDFB/IBP‐76/4, 1976.
5.
Jaffe, P. R., and Ferrara, R. A., “Desorption Kinetics in Modeling of Toxic Chemicals,” Journal of Environmental Engineering, ASCE, Vol. 109, No. 4, Aug., 1983, pp. 859–867.
6.
Jaffe, P. R., Parker, F. L., and Wilson, D. J., “Distribution of Toxic Substances in Rivers,” Journal of Environmental Engineering, ASCE, Vol. 108, No. EE4, Aug., 1982, pp. 639–649.
7.
Larsen, R. J., and Marx, M. L., An Introduction to Mathematical Statistics and Its Applications, Prentice‐Hall, Inc., 1981.
8.
McKay, M. D., Beckman, R. J., and Conover, W. J., “A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code,” Technometrics, Vol. 21, No. 2, 1979, pp. 239–245.
9.
Montgomery, R. H., Lee, U. D., Reckhow, K. H., “A Comparison of Uncertainty Analysis Techniques: First‐Order Analysis vs. Monte Carlo Simulation,” Presented at IAGLR, Great Lakes, Mich., 1980.
10.
O'Neill, R. V., “Error Analysis of Ecological Models,” in: Proceedings of the Third National Symposium on Radioecology, U.S. Atomic Energy Commission, Oak Ridge National Laboratory, Oak Ridge, Tenn., CONF‐710501, 1971.
11.
Schaeffer, D. L., “A Model Evaluation Methodology Applicable to Environmental Assessment Models,” Oak Ridge National Laboratory, Oak Ridge, Tenn., ORNL‐5507, 1979.
12.
Tiwari, J. L., and Hobbie, J. E., “Random Differential Equations as Models of Ecosystems: Monte Carlo Simulation Approach,” Math. Biosci., Vol. 28, 1976, pp. 25–44.
13.
Young, G. K., and Tierney, G. F., “Environmental Data Management,” Journal of the Water Resources Planning and Management Division, 1976, pp. 255–264.

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Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 110Issue 1February 1984
Pages: 131 - 140

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Published online: Feb 1, 1984
Published in print: Feb 1984

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Authors

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Peter R. Jaffe
Dpto. de Processos y Sistemas, Univ. Simon Bolivar, Apartado 80659, Caracas 1080, Venezuela
Frank L. Parker
Prof. of Civ. and Environmental Engrg., Vanderbilt Univ., Nashville, Tenn.

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