Risk-Based Margins of Safety for Phosphorus TMDLs in Lakes
Publication: Journal of Water Resources Planning and Management
Volume 137, Issue 3
Abstract
A total maximum daily load (TMDL) under Section 303(d) of the U.S. Clean Water Act is the maximum amount of pollutant that a water body can assimilate without violating applicable water quality standards (WQSs). The TMDL regulatory process includes development of limitations for estimated pollutant sources and an allowance for a margin of safety (MOS). This paper describes a methodology for determining the MOS on the basis of the classical engineering concept of a design safety margin, the difference between the expected capacity and expected load. In risk-based design, the design safety margin is selected to produce an acceptable failure risk over a design period. This principle can be readily applied to MOS determination, as illustrated here by application to phosphorus TMDLs in Massachusetts. The application includes evaluation of adopted MOS values and development of risk-based MOS values at specified levels of exceedance risk. The risk-based MOS values varied widely from the established MOS values, illustrating a type of inconsistency produced by current approaches to selecting the MOS.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
UNSPECIFIEDNortheastern University provided funding for portions of the work summarized in this article. Informal review comments from Bruce Jacobs and Peter Shanahan and review comments from two anonymous reviewers improved the manuscript.
References
Ambrose, R. B., Connolly, J. P., Southerland, E., Barnwell, T. O., and Schnorr, J. L. (1988). “Waste allocation simulation models.” J. Water Pollut. Control Fed., 60, 1646–1655.
Ang, A. H.-S. (1973). “Structural risk analysis and reliability-based design.” J. Struct. Div., 99, 1891–1910.
Borsuk, M. E., Stow, C. A., and Reckhow, K. H. (2002). “Predicting the frequency of water quality standard violations: A probabilistic approach for TMDL development.” Environ. Sci. Technol., 36, 2109–2115.
Chin, D. A. (2009). “Risk-based TMDLs in pathogen-impaired waters.” J. Water Resour. Plann. Manage., 135, 521–527.
Committee to Assess the Scientific Basis of TMDL. (2001). Assessing the TDML approach to water quality management, National Academy Press, Washington, DC.
Dilks, D. (2002). “Improved methods for calculating the TMDL margin of safety.” National TMDL Science and Policy 2002 Specialty Conf.: Phoenix, Arizona, Water Environment Federation, Alexandria, VA, 14.
Dilks, D. W., and Freedman, P. L. (2004). “Improved consideration of the margin of safety in total maximum daily load development.” J. Environ. Eng., 130, 690–694.
Franceschini, S., and Tsai, C. W. (2008). “Incorporating reliability into the definition of the margin of safety in total maximum daily load calculations.” J. Water Resour. Plann. Manage., 134, 34–44.
Houck, O. A. (2002). The clean water act TMDL program: Law, policy, and implementation, Environmental Law Institute, Washington, DC, 388.
Marr, J. K., and Canale, R. P. (1988). “Load allocation for toxics using Monte Carlo techniques.” J. Water Pollut. Control Fed., 60, 659–666.
Mattson, M. D., and Isaac, R. A. (1999). “Calibration of phosphorus export coefficients for total maximum daily loads of Massachusetts lakes.” Lake Reservoir Manage., 15, 209–219.
Novotny, V. (2004). “Simplified databased total maximum daily loads, or the world is log-normal.” J. Environ. Eng., 130, 674–683.
Reckhow, K. H. (1979). “Uncertainty analysis applied to Vollenweider’s phosphorus loading criterion.” J. Water Pollut. Control Fed., 51, 2123–2128.
Reckhow, K. H. (2003). “On the need for uncertainty assessment in TMDL modeling and implementation.” J. Water Resour. Plann. Manage., 129, 245–246.
Reckhow, K. H., Beaulac, M. N., and Simpson, J. T. (1980). “Modeling phosphorus loading and lake response under uncertainty.” A manual and compilation of export coefficients, U.S. EPA, Washington, DC, 1–214.
U.S. EPA. (1974). Nitrogen and phosphorus in wastewater effluents—Working paper No. 22, Pacific Northwest Environmental Research Laboratory, Corvallis, OR, 34.
U.S. EPA. (1999). “Protocol for developing nutrient TMDLs.” U.S. Environmental Protection Agency, Office of Water (4503F): EPA 841-B-99-007, Washington, DC, 135.
U.S. EPA. (2001). “The national costs of the total maximum daily load program (draft).” EPA 841-D-01-003, U.S. Environmental Protection Agency, Washington, DC, 51.
U.S. EPA. (2002). “The twenty needs report: How research can improve the TMDL program.” U.S. Environmental Protection Agency, Office of Water (4503T): EPA 841-B-02-002, Washington, DC, 43.
Vogel, R. M., Rudolph, B. E., and Hooper, R. P. (2005). “Probabilistic behavior of water-quality loads.” J. Environ. Eng., 131, 1081–1089.
Vogel, R. M., Wilson, I., and Daly, C. (1999). “Regional regression models of annual streamflow for the United States.” J. Irrig. Drain Eng., 125(3), 148–157.
Vollenweider, R. A. (1968). Scientific fundamentals of the eutrophication of lakes and flowing waters with particular reference to nitrogen and phosphorus as factors in eutrophication, Organization of Economic Development, Paris.
Vollenweider, R. A. (1975). “Input-output models with special reference to the phosphorus loading concept in limnology.” Aquat. Sci., 37, 53–84.
Walker, W. W., Jr. (2001). “Quantifying uncertainty in phosphorus TMDL’s for lakes: Concord, MA.” New England Interstate Water Pollution Control Commission and U.S. EPA, Region 1, 1–22.
Walker, W. W., Jr. (2003). “Consideration of variability and uncertainty in phosphorus total maximum daily loads for lakes.” J. Water Resour. Plann. Manage., 129(4), 337–344.
Zhang, H. X., and Yu, S. L. (2004). “Applying the first-order error analysis in determining the margin of safety for total maximum daily load computations.” J. Environ. Eng., 130(6), 664–673.
Information & Authors
Information
Published In
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Feb 25, 2009
Accepted: Jun 5, 2010
Published online: Jun 24, 2010
Published in print: May 1, 2011
Authors
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.