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Stormwater Quality Descriptions using the Three Parameter Lognormal Distribution

Alexander Maestre, Robert E. Pitt, S. Rocky Durrans and Subhabrata Chakraborti (2005)
University of Alabama; University of Alabama
https://doi.org/10.14796/JWMM.R223-13
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Abstract

The cumulative probability distribution used to describe the variability of stormwater pollutant concentrations has been a matter of interest in recent years. Many predictive models attempt to estimate appropriate stormwater constituent concentrations based on land use and the amount of impervious area. The most important study that characterized stormwater was the Nationwide Urban Runoff Program (NURP) (EPA 1983). NURP was conducted throughout the U.S. and included about 2300 events from 1978 through 1982. One of the conclusions of the final NURP report was that the event mean concentrations (EMCs) of stormwater constituents were described by lognormal distributions. This finding has been re-evaluated recently, with the conclusion that not all stormwater constituents are adequately described by lognormal distributions (Van Buren, 1997; Beherra, 2000).

Stormwater managers have generally accepted the assumption of lognormality of stormwater constituent concentrations between the 5th and 95th percentiles. Based on this assumption, it is common to use the log-transformed EMC values to evaluate differences between land use categories and other characteristics. Statistical inference methods, like estimation and test of hypothesis, and analysis of variance (ANOVA) require statistical information about the distribution of the EMC to evaluate these differences. The use of log-transformed data usually includes the location and scale parameter, but a lower bound parameter is usually neglected. In this chapter, a large database, the National Stormwater Quality Database v.1.1 (NSQD) (Pitt, et al. 2003), will be used to evaluate a three-parameter lognormal distribution for stormwater constituent concentrations for different land uses. The NSQD is a compilation of the phase 1 data from the stormwater permit program. This chapter will also evaluate this national data for the presence of unusual elevated values and their effect on the goodness of fit for the three parameter lognormal distribution.

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PAPER INFO

Identification

CHI ref #: R223-13 896
Volume: 13
Cite as: CHI JWMM 2005;R223-13
https://doi.org/10.14796/JWMM.R223-13

Publication History

Received: N/A
Accepted: N/A
Published: February 15, 2005

Status

# reviewers: 2
Version: Final published

Copyright

© 2005 CHI. Some rights reserved.

The Journal of Water Management Modeling is an open-access (OA) publication. Open access means that articles and papers are available without barriers to all who could benefit from them. Practically speaking, all published works will be available to a worldwide audience, free, immediately on publication. As such, JWMM can be considered a Diamond, Gratis OA journal.

Paper and publication copyrights are summarized here. JWMM content can be downloaded, printed, copied, distributed, and linked-to when providing full attribution to both the author/s and JWMM.


AUTHORS

Alexander Maestre

University of Alabama, Tuscaloosa, AL, USA

Robert E. Pitt

University of Alabama, Tuscaloosa, AL, USA

S. Rocky Durrans

University of Alabama, Tuscaloosa, AL, USA

Subhabrata Chakraborti

University of Alabama, Tuscaloosa, AL, USA

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