TECHNICAL PAPERS
Mar 1, 1990

Statistical Evaluation of Mechanistic Water‐Quality Models

Publication: Journal of Environmental Engineering
Volume 116, Issue 2

Abstract

Current practice for the verification of water‐quality simulation models is to use a combination of modeler judgment and graphical analysis to assess the adequacy of a model. Statistical testing of goodness‐of‐fit is sometimes undertaken, but usually with a null hypothesis that does not allow distinction between acceptable fit and highly variable data. In this paper, statistical methods are proposed to augment, but not replace, this conventional approach with a quantitative expression of goodness‐of‐fit. Model verification is expressed as a problem in hypothesis testing that may be conducted using a variety of statistical methods. Guidance is provided on the appropriate structure of the null hypothesis so that good model fit is not confounded with highly variable predictions and observations. In addition, consequences and corrective measures associated with assumption violations are examined. The t‐test, the Wilcoxon test, regression analysis, and the Kolmogorov‐Smirnov test are extensively discussed, and applications of each are presented for the verification of a mechanistic water‐quality model.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics, and decision for civil engineers. McGraw‐Hill, New York, N.Y.
2.
Blalock, H. M., Jr. (1972). Social statistics. McGraw‐Hill, New York, N.Y.
3.
Box, G. E. P., Hunter, J. S., and Hunter, W. G. (1978). Statistics for experimenters: An introduction to design, data analysis, and model building. John Wiley and Sons, Inc., New York, N.Y.
4.
DeGroot, M. H. (1975). Probability and statistics. Addison‐Wesley, Reading, Mass.
5.
Leggett, R. W., and Williams, L. R. (1981). “A reliability index for models.” Ecological Modelling, 13(3), 303–312.
6.
Loehle, C. (1983). “Evaluation of theories and calculation tools in ecology.” Ecological Modelling, 19(2), 239–251.
7.
Miller, R. G., Jr. (1986). Beyond ANOVA, basics of applied statistics. John Wiley and Sons, Inc., New York, N.Y.
8.
Reckhow, K. H., and Chapra, S. C. (1983). “Confirmation of water quality models.” Ecological Modelling, 20(2), 113–133.
9.
Reckhow, K. H., Clements, J. T., and Dodd, R. C. (1986). “Statistical goodness‐of‐fit measures for waste load allocation models.” Draft Final Report, Office of Water, U.S. Envir. Protection Agency, Washington, D.C.
10.
Snedecor, G. W., and Cochran, W. G. (1967). Statistical methods. 6th ed. Iowa State University Press, Ames, Iowa.
11.
Thomann, R. V. (1982). “Verification of water quality models.” J. Envir. Engrg. Div., 108(5), 923–940.
12.
Wlosinski, J. H., and Collins, C. D. (1985). “Evaluation of a water quality model (CE‐QUAL‐R1) using data from a small Wisconsin reservoir.” Ecological Modelling, 29(3), 303–313.
13.
Wonnacott, T. H., and Wonnacott, R. J. (1977). Introductory statistics. John Wiley and Sons, Inc., New York, N.Y.
14.
“Workshop on verification of water quality models. (1980). EPA‐600/9‐80‐016. Office of Res. and Development, U.S. Envir. Protection Agency, Athens, Ga.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 116Issue 2March 1990
Pages: 250 - 268

History

Published online: Mar 1, 1990
Published in print: Mar 1990

Permissions

Request permissions for this article.

Authors

Affiliations

Kenneth H. Reckhow
Assoc. Prof., Forestry and Envir. Studies, Duke Univ., Durham, NC 27706
J. Trevor Clements
Tech. Support Branch Chief, North Carolina Div. of Envir. Mgmt., Raleigh, NC 27611
Randall C. Dodd
Res. Envir. Sci., Envir. Systems, Res. Triangle Inst., P.O. Box 12194, Res. Triangle Park, NC 27709

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
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.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
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.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share