Chapter
Feb 24, 2022
Chapter 11

Model Selection and Applications for Total Maximum Daily Load Development

Publication: Total Maximum Daily Load Development and Implementation: Models, Methods, and Resources

Abstract

This chapter presents an approach to model selection for total maximum daily load (TMDL) determination, allocation, and implementation planning to attain the water quality standards in impaired waterbodies. Determination of a TMDL is the numerical quantification of the total allowable load or waste assimilative capacity of the receiving waterbody. Model sophistication is the degree of development defined by reliable process integrity of the underlying physical, chemical, or biological processes being simulated. The chapter also presents an overview of the major considerations for a holistic approach to model selection for TMDL determination, allocation, and implementation planning. Several technical and management considerations affect the TMDL model selection process. The chapter highlights how model selection should consider model calibration and validation after the selection. It provides a concise overview of TMDL model calibration, validation, sensitivity, and uncertainty analysis to define technical criteria that must be considered in model selection.

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Acknowledgments

Reviews, edits, and comments provided by Deva K. Borah and G. Padmanabhan in this chapter are greatly appreciated.

References

ADEM (Alabama Department of Environmental Management). 2008. Final total maximum daily load nutrients & OE/EDO Pepperell Branch AL03150110-0201-700 Nutrients, Sougahatchee Creek Embayment (Yates Reservoir) AL 03150110-0204-101 Nutrients & OE/DO. Montgomery, AL: Water Quality Branch, Water Division, ADEM.
ADEM. 2020. Final nutrient total maximum daily loads (TMDLs) for Locust Fork (Waterbody ID AL03160111-0305-102, AL03160111-0308-102, AL03160111-0404-102, AL03160111-0413-112, AL03160111-0413-101) & Village Creek (Waterbody ID AL03160111-0409-100). Montgomery, AL: Water Quality Branch, Water Division, ADEM.
Ahmadisharaf, E., R. A. Camacho, H. X. Zhang, M. M. Hantush, and Y. M. Mohamoud. 2019. “Calibration and validation of watershed models and advances in uncertainty analysis in TMDL studies.” J. Hydrol. Eng. 24 (7): 03119001.
Annear, R. L., M. L. McKillip, S. J. Khan, C. Berger, and S. A. Wells. 2004. Willamette River basin temperature TMDL model: Boundary conditions and model setup. Tech. Rep. No. EWR-01-04. Portland, OR: Portland State University.
ASCE. 2017. Total maximum daily load analysis and modeling: Assessment of the practice. Prepared by TMDL Analysis and Modeling Task Committee of the Environmental and Water Resources Institute of ASCE. Reston, VA: ASCE.
Benham, B. L., C. Baffaut, R. W. Zeckoski, K. R. Mankin, Y. A. Pachepsky, A. M. Sadeghi et al. 2006. “Modeling bacteria fate and transport in watersheds to support TMDLs.” Trans. ASABE 49 (4): 987–1002.
Borah, D. K., and M. Bera. 2003. “Watershed-scale hydrologic and nonpoint-source pollution models: Review of mathematical bases.” Trans. ASABE 46 (6): 1553–1566.
Borah, D. K., and M. Bera. 2004. “Watershed-scale hydrologic and nonpoint-source pollution models: Review of applications.” Trans. ASABE 47 (3): 789–803.
Borah, D. K., E. Ahmadisharaf, G. Padmanabhan, S. Imen, and Y. M. Mohamoud. 2019a. “Watershed models for development and implementation of total maximum daily loads.” J. Hydrol. Eng. 24 (1): 03118001.
Borah, D. K., G. Padmanabhan, and S. Kumar. 2019b. “Total maximum daily load analysis and modeling: Assessment and advancement.” J. Hydrol. Eng. 24 (11): 02019001.
Camacho, R. A., Z. Zhang, and X. Chao. 2019. “Receiving water quality models for TMDL development and implementation.” J. Hydrol. Eng. 24 (2): 04018063.
Chapra, S. C. 2003. “Engineering water quality models and TMDLs.” J. Water Resour. Plan. Manag. 129 (4): 247–256.
Cole, T. M., and S. A. Wells. 2018. CE-QUAL-W2: A two-dimensional, laterally averaged, hydrodynamic and water quality model, version 4.1. Portland, OR: Dept. of Civil and Environmental Engineering, Portland State University.
Cope, B., T. Shaikh, R. Parmar, S. Chapra, and J. Martin. 2020. Literature review on nutrient-related rates, constants, and kinetics formulations in surface water quality modeling. EPA/600/R-19/241. Washington, DC: USEPA.
Craig, R. K., and A. M. Roberts. 2015. “When will governments regulate nonpoint source pollution: A comparative perspective.” BC Envtl. Aff. L. Rev. 42: 1.
Dancik, G. M., D. E. Jones, and K. S. Dorman. 2010. “Parameter estimation and sensitivity analysis in an agent-based model of Leishmania major infection.” J. Theor. Biol. 262 (3): 398–412.
Doherty, J. E. 2007. Use of PEST and some of its utilities in model calibration and predictive error variance analysis: A roadmap. Brisbane, Queensland: Watermark Numerical Computing.
Eberhart, R. C., and Y. Shi. 2001. “Particle swarm optimization: developments, applications and resources.” In Vol. 1 of Proc., 2001 Congress on Evolutionary Computation (IEEE Cat. No. 01TH8546), 81–86, doi: https://doi.org/10.1109/CEC.2001.934362.
Fu, B., J. S. Horsburgh, A. J. Jakeman, C. Gualtieri, T. Arnold, L. Marshall, et al. 2020. “Modeling water quality in watersheds: From here to the next generation.” Water Resour. Res. 56 (11): e2020WR027721.
Ganju, N. K., M. J. Brush, B. Rashleigh, A. L. Aretxabaleta, P. del Barrio, J. S. Grear, et al. 2016. “Progress and challenges in coupled hydrodynamic-ecological estuarine modeling.” Estuaries Coasts 39 (2): 311–332.
Gao, P. 2008. “Understanding watershed suspended sediment transport.” Prog. Phys. Geogr. 32 (3): 243–263.
Hamrick, J. M., and T. S. Wu. 1997. “Computational design and optimization of the EFDC/HEM3D surface water hydrodynamic and eutrophication models.” In Next generation environmental models and computational methods, edited by G. Delich and M. F. Wheeler, 143–156. Philadelphia: Society of Industrial and Applied Mathematics.
Herr, J. W., and C. W. Chen. 2012. “WARMF: Model use, calibration, and validation.” Trans. ASABE 55 (4): 1387–1396.
Herron, H. 2017. “Climate change and TMDLs.” https://www.chesapeakebay.net/.
Hoyer, R., and H. Chang. 2014. “Assessment of freshwater ecosystem services in the Tualatin and Yamhill basins under climate change and urbanization.” Appl. Geogr. 53: 402–416.
Jolliff, J. K., J. C. Kindle, I. Shulman, B. Penta, M. A. Friedrichs, R. Helber et al. 2009. “Summary diagrams for coupled hydrodynamic-ecosystem model skill assessment.” J. Mar. Syst. 76 (1–2): 64–82.
Lahlou, M., L. Shoemaker, M. Paquette, J. Bo, S. Choudhury, R. Elmer et al. 1996. Better assessment science integrating point and nonpoint sources—BASINS. Version 1.0 user's manual (823R96001). Washington, DC: Exposure Assessment Branch, Standards and Applied Sciences Division, Office of Science and Technology, EPA.
LHC (Little Hoover Commission). 2009. Cleaner water: Improving performance and outcomes at the state water boards. Sacramento, CA: LHC.
LimnoTech. 2011. “Draft TMDL support document for PCBs in Lake Ontario.” https://www.dec.ny.gov/docs/water_pdf/lakeontariop​cbtmdl.pdf.
MacWilliams, M. L., A. J. Bever, E. S. Gross, G. S. Ketefian, and W. J. Kimmerer. 2015. “Three-dimensional modeling of hydrodynamics and salinity in the San Francisco estuary: An evaluation of model accuracy, X2, and the low–salinity zone.” San Francisco Estuary Watershed Sci. 13 (1): 1–37.
Martin, J. L., and S. C. McCutcheon. 1999. Hydrodynamics and transport for water quality modeling. Boca Raton, FL: CRC Press.
Martin, J. L., W. L. Richardson, and S. C. McCutcheon. 1991. “Modeling studies for planning: The Green Bay project.” J. Am. Water Resour. Assoc. 27 (3): 429–436.
McCutcheon, S. C. 1983. The evaluation of selected one-dimensional stream water-quality models with field data. Waterways Experiment Station Rep. No. E-11. Vicksburg, MS: USACE.
McCutcheon, S. C. 1989. Water quality modelling: Vol. I, river transport and surface exchange. Boca Raton, FL: CRC Press.
McCutcheon, S. C., D. Zhu, and S. Bird. 1990. “Model calibration, validation, and use.” In Technical guidance manual for performing waste load allocations. Book III: Estuaries, Part 2: Application of estuarine waste load allocation models, EPA-823-R-92-003, edited by R. B. Ambrose, J. L. Martin, and S. C. McCutcheon, 40–117. Washington, DC: EPA.
Moriasi, D. N., J. G. Arnold, M. W. Van Liew, R. L. Bingner, R. D. Harmel, and T. L. Veith. 2007. “Model evaluation guidelines for systematic quantification of accuracy in watershed simulations.” Trans. ASABE 50 (3): 885–900.
Moriasi, D. N., M. W. Gitau, N. Pai, and P. Daggupati. 2015. “Hydrologic and water quality models: Performance measures and evaluation criteria.” Trans. ASABE 58 (6): 1763–1785.
Moriasi, D. N., B. N. Wilson, K. R. Douglas-Mankin, J. G. Arnold, and P. H. Gowda. 2012. “Hydrologic and water quality models: Use, calibration, and validation.” Trans. ASABE 55 (4): 1241–1247.
NRC (National Research Council). 2001. Assessing the TMDL approach to water quality management. Washington, DC: NRC.
ODEQ (Oregon Department of Environmental Quality). 2010a. John Day River Basin total maximum daily load (TMDL) and water quality management plan (WQMP). DEQ-10-WQ-025. Portland, OR: ODEQ.
ODEQ 2010b. John Day River Basin total maximum daily load (TMDL) and water quality management plan (WQMP): Response to Public Comment. Portland, OR: ODEQ.
Plummer, M. 2003. “JAGS: A program for analysis of Bayesian graphical models using Gibbs sampling.” In Vol. 124 of Proc., 3rd Int. Workshop on Distributed Statistical Computing, 1–10, edited by K. Hornick, F. Leisch, and A. Zeileis. Vienna, Austria.
Quinn, N. W. T. 2020. “Policy innovation and governance for irrigation sustainability in the Arid, Saline San Joaquin River Basin.” Sustainability 12 (11): 4733.
RESPEC. 2019. “RESPEC launches HSP2 tutorials.” Accessed October 30, 2021. http://www.respec.com/respec-launches-hsp2-tutorials/.
Schueler, T. S. 1987. The simple method in controlling urban runoff: A practical manual for planning and designing urban BMPs. Washington, DC: Washington Metropolitan Water Resources Planning Board, Metropolitan Washington Council of Governments.
Shoemaker, L., J. Riverson Jr., K. Alvi, J. Zhen, S. Paul, and T. Rafi. 2009. SUSTAIN—A framework for placement of best management practices in urban watersheds to protect water quality. Washington, DC: National Risk Management Research Laboratory, Office of Research and Development, EPA.
Sridharan, V. K., S. G. Monismith, O. B. Fringer, and D. A. Fong. 2018. “Evaluation of the Delta Simulation Model-2 in computing tidally driven flows in the Sacramento-San Joaquin Delta.” San Francisco Estuary Watershed Sci. 16 (2).
Sridharan, V. K., N. W. T. Quinn, S. Kumar, S. C. McCutcheon, E. Ahmadisharaf, X. Fang, et al. 2021. “Selecting reliable models for total maximum daily load development: A holistic protocol.” J. Hydrol. Eng. 26 (10): 04021031.
Tedela, N. H., S. C. McCutcheon, T. C. Rasmussen, C. R. Jackson, E. W. Tollner, W. R. Swank, et al. 2012. “Runoff curve numbers for 10 small forested watersheds in the mountains of the eastern United States.” J. Hydrol. Eng. 17 (11): 1188–1198.
Tetra Tech. 2002. Theoretical and computational aspects of sediment and contaminant transport in EFDC. Tech. Rep. to the US Environmental Protection Agency. Fairfax, VA: Tetra Tech.
Texas A&M University. 2019. “SWAT: Soil & water assessment tool.” Accessed October 30, 2021. http://swat.tamu.edu/.
Thomann, R. V. 1992. “Expert critique of case studies.” p. 14-1–14-18. In Technical guidance manual for performing waste load allocations. Book III; Estuaries—Part 4: Critical reviews of coastal embayment and estuarine waste load allocation modeling, edited by R. B. Ambrose Jr. Washington, DC: EPA.
Thomann, R. V., and J. A. Mueller. 1987. Principles of surface water quality modeling and control. New York: Harper and Row.
USACE (United States Army Corps of Engineers). 2016. HEC-RAS: river analysis system user's manual version 5.0. CPD-68. Davis, CA: Hydrologic Engineering Center, USACE.
USDA-NRCS (United States Department of Agriculture-Natural Resources Conservation Service). 2019. “Agricultural non-point sources pollution model.” Accessed October 30, 2021. http://www.nrcs.usda.gov/wps/portal/nrcs/detailfull/null/?cid=stelprdb1042468.
USEPA (US Environmental Protection Agency). 2002. “Guidelines for reviewing TMDLs under existing regulations issued in 1992.” Accessed October 30, 2021. https://www.epa.gov/sites/production/files/2015-10/documents/2002_06_04_tmdl_guidance_final52002.pdf.
USEPA. 2005. TMDL model evaluation and research needs. EPA/600/R-05/149. Cincinnati: National Engineering Research Laboratory.
USEPA. 2006. Clarification regarding “phased” total maximum daily loads. Memorandum. Washington, DC: Assessment and Watershed Protection Division.
USEPA. 2015. “Total maximum daily loads with stormwater sources: A summary of 17 TMDLs.” Accessed October 30, 2021. https://www.epa.gov/sites/production/files/2015-07/documents/17_tmdls_stormwater_sources.pdf.
USEPA. 2017. “WASP model release notes.” Accessed October 30, 2021. http://www.epa.gov/ceam/wasp-model-release-notes.
USEPA. 2018. “Overview of the total maximum daily loads (TMDLs).” Accessed October 30, 2021. https://www.epa.gov/tmdl/overview-total-maximum-daily-loads-tmdls#2.
USEPA. 2019a. “TMDL support documents.” Accessed October 30, 2021. https://www.epa.gov/tmdl/tmdl-support-documents.
USEPA. 2019b. “Storm water management model (SWMM).” Accessed October 30, 2021. http://www.epa.gov/water-research/storm-water-management-model-swmm.
USEPA. 2020a. “ATTAINS.” Accessed October 30, 2021. https://www.epa.gov/waterdata/attains.
USEPA. 2020b. “Environmental modeling community of practice.” Accessed October 30, 2021. https://www.epa.gov/ceam.
USGAO (US Government Accountability Office). 2013. Clean Water Act: Changes needed if key EPA program is to help fulfill the nation's water quality goals. Rep. No. GAO-14-80 to Congressional Requestors. Washington, DC: USGAO.
Walker Jr., W. W. 2006. BATHTUB—version 6.1: Simplified techniques for eutrophication assessment and prediction. Vicksburg, MI: Environmental Laboratory, United States Army Corps of Engineers Waterways Experiment Station.
WERF (Water Environment Research Foundation). 2003. Navigating the TMDL process: Evaluation and improvements. WERF Project 00-WSM-1. Denver, CO: WERF.
Willmott, C. J. 1981. “On the validation of models.” Phys. Geogr. 2 (2): 184–94.
Zhang, H. X., and G. Padmanabhan. 2019. “Critical condition modeling and analysis in TMDL development and implementation.” J. Hydrol. Eng. 24 (2): 04018061.
Zou, R., S. Carter, L. Shoemaker, A. Parker, and T. Henry. 2006. “Integrated hydrodynamic and water quality modeling system to support nutrient total maximum daily load development for Wissahickon Creek, Pennsylvania.” J. Environ. Eng. 132 (4): 555–566.

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Go to Total Maximum Daily Load Development and Implementation
Total Maximum Daily Load Development and Implementation: Models, Methods, and Resources
Pages: 319 - 356
Editors: Harry X. Zhang, Ph.D., Nigel W.T. Quinn, Ph.D. https://orcid.org/0000-0003-3333-4763, Deva K. Borah, Ph.D. https://orcid.org/0000-0002-2107-9390, and G. Padmanabhan, Ph.D. https://orcid.org/0000-0002-3209-1379
ISBN (Print): 978-0-7844-1594-8
ISBN (Online): 978-0-7844-8382-4

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Published online: Feb 24, 2022
Published in print: Mar 1, 2022

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