Receiving Water Quality Models for TMDL Development and Implementation
Publication: Journal of Hydrologic Engineering
Volume 24, Issue 2
Abstract
Water quality models are critical tools for the development of total maximum daily loads (TMDLs) and for the evaluation of water quality management alternatives by stakeholders and state environmental protection agencies. Currently there is a large availability of water quality models that can be used to support TMDL studies, and the selection of a particular model requires a good understanding of the model limitations, capabilities, and data requirements. The ASCE/Environmental and Water Resources Institute (EWRI) TMDL Analysis and Modeling Task Committee was established in part to produce guidance documentation to help modelers to identify and implement existing modeling approaches to address some of the most important causes of water quality impairment in the United States, including eutrophication, toxic chemicals, and metals. This paper presents a review of existing mathematical models to evaluate eutrophication processes, including carbon and nutrient cycling, phytoplankton dynamics, and dissolved oxygen availability, as well as a review of mathematical models to simulate the fate and transport of toxic chemicals and mercury. The paper also discusses the main capabilities and limitations of 11 widely used water quality models in the United States. Modelers can use this information to support more informed model selections and to facilitate an effective and successful application of models in TMDL studies.
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Acknowledgments
The TMDL Analysis and Modeling Task Committee of the American Society of Civil Engineers’ Environmental and Water Resources Institute was formed to address concerns and challenges over the current practices of analysis and modeling in the TMDL development and implementation in terms of analysis technique and model selection, data requirements, calibration, validation, and uncertainty reporting. The committee reviewed the current practices of analysis and modeling in TMDL development and implementation and documented the review in a report, “Total Maximum Daily Load Analysis and Modeling: Assessment of the Practice,” published by ASCE in 2017. The authors of this paper are members of the Task Committee and the paper is partly based on the findings of the Task Committee.
References
ADEM (Alabama Department of Environmental Management). 2006. Final nutrient total maximum daily loads (TMDLs) for the Cahaba River Watershed, 96. Montgomery, AL: ADEM.
Allison, J. D., and T. L. Allison. 2005. Partition coefficients for metals in surface water, soil, and waste. Washington, DC: USEPA.
Allison, J. D., D. S. Brown, and K. J. Novo-Gradac. 1991. MINTEQA2/PRODEFA2, a geochemical assessment model for environmental systems: Version 3.0 user’s manual. EPA/600/3-91/021. Athens, GA: USEPA.
Ambrose, R. B., S. B. Vandergrift, and T. A. Wool. 1986. WASP3, A hydrodynamic and water quality model—Model theory, user’s manual and programmer’s guide. Athens, GA: USEPA.
Ambrose, R. B., T. A. Wool, and J. L. Martin. 1993. The water quality analysis simulation program, WASP5. Part A: Model documentation. Athens, GA: USEPA Center for Exposure Assessment Modeling.
Anderson, D. M., et al. 2008. “Harmful algal blooms and eutrophication: Examining linkages from selected coastal regions of the United States.” Harmful Algae 8 (1): 39–53. https://doi.org/10.1016/j.hal.2008.08.017.
ASCE. 2017. Total maximum daily load analysis and modeling: Assessment of the practice. Reston, VA: ASCE.
Bernhoft, R. A. 2012. “Mercury toxicity and treatment: A review of the literature.” J. Environ. Public Health 2012: 10.
Bowen, J., and J. Hieronymus. 2003. “A CE-QUAL-W2 model of Neuse Estuary for total maximum daily load development.” J. Water Resour. Plann. Manage. 129 (4): 283–294. https://doi.org/10.1061/(ASCE)0733-9496(2003)129:4(283).
Bowie, G. L., W. B. Mills, D. B. Porcella, C. L. Campbell, J. R. Pagenkopf, G. L. Rupp, K. M. Johnson, P. Chan, S. A. Gherini, and C. E. Chamberlin. 1985. Vol. 600 of Rates, constants, and kinetics formulations in surface water quality modeling, 3–85. Athens, GA: USEPA.
Camacho, R., J. Martin, B. Watson, M. Paul, L. Zheng, and J. Stribling. 2014. “Modeling the factors controlling phytoplankton in the St. Louis Bay Estuary, Mississippi and evaluating estuarine responses to nutrient load modifications.” J. Environ. Eng. 141 (3): 04014067. https://doi.org/10.1061/(ASCE)EE.1943-7870.0000892.
Caruso, B., T. Cox, R. L. Runkel, M. Velleux, K. E. Bencala, D. K. Nordstrom, P. Julien, B. Butler, C. N. Alpers, and A. Marion. 2008. “Metals fate and transport modelling in streams and watersheds: State of the science and USEPA workshop review.” Hydrol. Processes 22 (19): 4011–4021. https://doi.org/10.1002/hyp.7114.
Cerco, C. F., B. W. Bunch, A. M. Teeter, and M. S. Dortch. 2000. Water quality model of Florida Bay. Vicksburg, MS: Engineer Research and Development Center Vicksburg MS Environmental Lab.
Cerco, C. F., and T. Cole. 1993. “Three-dimensional eutrophication model of Chesapeake Bay.” J. Environ. Eng. 119 (6): 1006–1025. https://doi.org/10.1061/(ASCE)0733-9372(1993)119:6(1006).
Cerco, C. F., and T. Cole. 1995. User’s guide to the CE-QUAL-ICM: Three-dimensional eutrophication model. Vicksburg, MS: USACE.
Cerco, C. F., and M. R. Noel. 2013. “Twenty one year simulation of Chesapeake Bay water quality using the CE-QUAL-ICM eutrophication model.” J. Am. Water Resour. Assoc. 49 (5): 1119–1133. https://doi.org/10.1111/jawr.12107.
Cerco, C. F., M. R. Noel, and S.-C. Kim. 2006. “Three-dimensional management model for Lake Washington. Part II: Eutrophication modeling and skill assessment.” Lake Reservoir Manage. 22 (2): 115–131. https://doi.org/10.1080/07438140609353889.
Cerco, C. F., M. R. Noel, and L. Linker. 2004. “Managing for water clarity in Chesapeake Bay.” J. Environ. Eng. 130 (6): 631–642. https://doi.org/10.1061/(ASCE)0733-9372(2004)130:6(631).
Chao, X., M. Altinakar, and R. Marsooli. 2016. “Numerical modeling of the fate and transport of contaminants due to a coal ash spill accident in the Dan River.” In Proc., ASCE World Water and Environmental Resources Congress. Reston, VA: ASCE.
Chao, X., Y. Jia, C. M. Cooper, F. D. Shields, Jr., and S. S. Wang. 2006. “Development and application of a phosphorus model for a shallow oxbow lake.” J. Environ. Eng. 132 (11): 1498–1507. https://doi.org/10.1061/(ASCE)0733-9372(2006)132:11(1498).
Chao, X., Y. Jia, F. D. Shields, S. S. Wang, and C. M. Cooper. 2007. “Numerical modeling of water quality and sediment related processes.” Ecol. Modell. 201 (3): 385–397. https://doi.org/10.1016/j.ecolmodel.2006.10.003.
Chao, X., Y. Jia, S. S. Wang, and A. A. Hossain. 2012. “Numerical modeling of surface flow and transport phenomena with applications to Lake Pontchartrain.” Lake Reservoir Manage. 28 (1): 31–45. https://doi.org/10.1080/07438141.2011.639481.
Chapra, S. C., G. J. Pelletier, and H. Tao. 2012. “QUAL2K: A modeling framework for simulating river and stream water quality. Version 2.12: Documentation and users manual. Medford, MA: Dept. of Civil and Environmental Engineering, Tufts Univ.
Chapra, S. C. 1997. Surface water: Quality modeling. New York: McGraw-Hill.
Chapra, S. C. 2003. “Engineering water quality models and TMDLs.” J. Water Resour. Plann. Manage. 129 (4): 247–256. https://doi.org/10.1061/(ASCE)0733-9496(2003)129:4(247).
Chapra, S. C. 2011. “Rubbish, stink, and death: The historical evolution, present state, and future direction of water-quality management and modeling.” Environ. Eng. Res. 16 (3): 113–119. https://doi.org/10.4491/eer.2011.16.3.113.
Cloern, J. E. 1999. “The relative importance of light and nutrient limitation of phytoplankton growth: A simple index of coastal ecosystem sensitivity to nutrient enrichment.” Aquat. Ecol. 33 (1): 3–15. https://doi.org/10.1023/A:1009952125558.
Cole, T. M., and S. A. Wells. 2011. CE-QUAL-W2: A two-dimensional, laterally averaged, hydrodynamic and water quality model, version 3.7. Washington, DC: USACE.
Cole, T. M., and S. A. Wells. 2016. CE-QUAL-W2: A two-dimensional, laterally averaged, hydrodynamic and water quality model, version 4.0. Portland, OR: Dept. of Civil and Environmental Engineering, Portland State Univ.
Cook, A. 2012. “Development of an integrated surface and subsurface model of Everglades National Park.” Electronic theses and dissertations, Florida International Univ.
Dai, Z., C. Li, C. Trettin, G. Sun, D. Amatya, and H. Li. 2010. “Bi-criteria evaluation of the MIKE SHE model for a forested watershed on the South Carolina coastal plain.” Hydrol. Earth Syst. Sci. 14 (6): 1033–1046. https://doi.org/10.5194/hess-14-1033-2010.
DHI (Danish Hydraulic Institute). 2018. “MIKE model distribution website.” Accessed November 2, 2018. http://www.dhisoftware.com/.
Di Toro, D. M., J. J. Fitzpatrick, and R. V. Thoman 1983. Documentation for water quality analysis simulation program (WASP) and model verification program (MVP). Duluth, MN: Environmental Protection Agency, Environmental Research Laboratory, Office of Research and Development.
Di Toro, D. M., D. J. O’Connor, and R. V. Thomann. 1971. “A dynamic model of the phytoplankton population in the Sacramento San Joaquin Delta.” Am. Chem. Soc. 106 (2): 131–180. https://doi.org/10.1021/ba-1971-0106.ch005.
Dortch, M., T. Schneider, J. L. Martin, M. Zimmerman, and D. M. Griffin. 1990. CE-QUAL-RIV1: A dynamic, one-dimensional (longitudinal) water quality model for streams. User’s manual. Vicksburg, MS: Army Engineer Waterways Experiment Station.
Edinger, J. E., and E. M. Buchak. 1975. A hydrodynamic, two-dimensional reservoir model: The computational basis. Cincinnati: US Army Engineer Division.
Egge, J. K., and D. L. Aksnes. 1992. “Silicate as regulating nutrient in phytoplankton competition.” Mar. Ecol. Prog. Ser. 83 (2): 281–289. https://doi.org/10.3354/meps083281.
FDEP (Florida Department of Environmental Protection). 2013. Mercury TMDL for the State of Florida. Tallahassee, FL: FDEP.
Hamrick, J. M. 1992. A three-dimensional environmental fluid dynamics computer code: Theoretical and computational aspects. Williamsburg, VA: College of William and Mary, Virginia Institute of Science.
Heisler, J., et al. 2008. “Eutrophication and harmful algal blooms: A scientific consensus.” Harmful Algae 8 (1): 3–13. https://doi.org/10.1016/j.hal.2008.08.006.
Hendrickson, J., N. Trahan, E. Stecker, and Y. Ouyang. 2002. TMDL and PLRG modeling of the lower St. Johns River technical report series. Volume 1: Calculation of the external load. Palatka, FL: St. Johns River Water Management District.
Inthasaro, P. 2010. “A one-dimensional aquatic ecology and ecotoxicology model in river system.” Ph.D. dissertation, Dept. of Civil Engineering, National Center for Computational Hydroscience and Engineering, Univ. of Mississippi.
Ji, Z.-G. 2008. Hydrodynamics and water quality: Modeling rivers, lakes, and estuaries. New York: Wiley.
Jia, Y., X. Chao, Y. Zhang, and T. Zhu. 2013. Technical manual of CCHE2D, version 4.1. Oxford, MS: Univ. of Mississippi.
KTH (Royal Institute of Technology in Stockholm). 2018. “Visual MINTEQ version 3.1.” Accessed November 1, 2018. https://vminteq.lwr.kth.se/.
Liang, J., Q. Yang, T. Sun, J. Martin, H. Sun, and L. Li. 2015. “MIKE 11 model-based water quality model as a tool for the evaluation of water quality management plans.” J. Water Supply Res. Technol.-Aqua 64 (6): 708–718. https://doi.org/10.2166/aqua.2015.048.
LimnoTech. 2013. Statewide Michigan mercury TMDL. Duxbury, MA: USEPA.
Long, S. 2014. “Simulating Everglades National Park hydrology and phosphorus transport under existing and future scenarios using numerical modeling.” Ph.D. dissertation, Dept. of Geosciences, Florida International Univ.
Lyman, W. J., W. F. Reehl, and D. H. Rosenblatt. 1990. Handbook of chemical property estimation methods: Environmental behavior of organic compounds. Washington, DC: American Chemical Society.
Mabey, W., and T. Mill. 1978. “Critical review of hydrolysis of organic compounds in water under environmental conditions.” J. Phys. Chem. Ref. Data 7 (2): 383–415. https://doi.org/10.1063/1.555572.
Mandel, R., S. Kim, A. Nagel, J. Palmer, C. Schultz, and K. Brubaker. 2008. The TAM/WASP modeling framework for development of nutrient and BOD TMDLs in the tidal Anacostia River. Washington, DC: Interstate Commission on the Potomac River Basin Modeling.
Mark, D. J., N. W. Scheffner, H. L. Butler, B. W. Bunch, and M. S. Dortch. 1993. Vol. 1 of Hydrodynamic and water quality modeling of lower Green Bay, Wisconsin. Vicksburg, MS: Coastal Engineering Research Center.
Martin, J. L., D. K. Borah, E. Martinez-Guerra, and J. D. Pérez-Gutiérrez. 2015. “TMDL modeling approaches, model surveys, and advances.” In Proc., World Environmental and Water Resources Congress 2015: Water without Borders. Reston, VA: ASCE.
Martin, J. L., and S. C. McCutcheon. 1999. Hydrodynamics and transport for water quality modeling. Boca Raton, FL: CRC Press.
Martin, J. L., D. Tillman, C. Cerco, J. Hendrickson, and M. Dortch. 2002. “A three-dimensional water quality model for estimating TMDLs in a Blackwater river estuary, the lower St. Johns River, FL.” In Proc., 7th Int. Conf. on Estuarine and Coastal Modeling, 227–245. Reston, VA: ASCE.
Martin, J. L., and T. Wool. 2002. “A dynamic one-dimensional model of hydrodynamics and water quality EPD-RIV1, version 1.0.” In Model documentation and user manual. Atlanta: Georgia Environmental Protection Division.
Mortazavi, B., R. L. Iverson, W. M. Landing, F. G. Lewis, and W. Huang. 2000. “Control of phytoplankton production and biomass in a river-dominated estuary: Apalachicola Bay, Florida, USA.” Mar. Ecol. Prog. Ser. 198 (1): 19–31. https://doi.org/10.3354/meps198019.
MPCA (Minnesota Pollution Control Agency). 2007. Minnesota statewide mercury total maximum daily load, 75. St. Paul, MN: Minnesota Pollution Control Agency.
Muylaert, K., M. Tackx, and W. Vyverman. 2005. “Phytoplankton growth rates in the freshwater tidal reaches of the Schelde Estuary (Belgium) estimated using a simple light-limited primary production model.” Hydrobiologia 540 (1–3): 127–140. https://doi.org/10.1007/s10750-004-7128-5.
NCCHE (National Center for Computational Hydroscience and Engineering). 2018. “CCHE1D download website.” Accessed November 2, 2018. https://www.ncche.olemiss.edu/downloads/.
NCDENR (North Carolina Department of Environmental Quality). 2012. North Carolina mercury TMDL. Raleigh, NC: NCDENR.
O’Donnell, S., R. Gelda, S. Effler, and D. Pierson. 2011. “Testing and application of a transport model for runoff event inputs for a water supply reservoir.” J. Environ. Eng. 137 (8): 678–688. https://doi.org/10.1061/(ASCE)EE.1943-7870.0000378.
Ohio EPA. 2009. Total maximum daily loads for the Blanchard River Watershed. Columbus, OH: Ohio EPA, Division of Surface Water.
Ohio EPA. 2013. Total maximum daily loads for the Ottawa River (Lima area) Watershed. Columbus, OH: Ohio EPA, Division of Surface Water.
Park, R. A., J. S. Clough, and M. C. Wellman. 2008. “AQUATOX: Modeling environmental fate and ecological effects in aquatic ecosystems.” Ecol. Modell. 213 (1): 1–15. https://doi.org/10.1016/j.ecolmodel.2008.01.015.
Pinckney, J. L., H. W. Paerl, and M. B. Harrington. 1999. “Responses of the phytoplankton community growth rate to nutrient pulses in variable estuarine environments.” J. Phycol. 35 (6): 1455–1463. https://doi.org/10.1046/j.1529-8817.1999.3561455.x.
Pinckney, J. L., H. W. Paerl, P. Tester, and T. L. Richardson. 2001. “The role of nutrient loading and eutrophication in estuarine ecology.” Supplement, Environ. Health Perspect. 109 (S5): 699–706. https://doi.org/10.1289/ehp.01109s5699.
PSU (Portland State University). 2018. “CE-QUAL-W2: Hydrodynamic and water quality model.” Accessed September 27, 2018. http://www.ce.pdx.edu/w2/.
Runkel, R. L., and B. A. Kimball. 2002. “Evaluating remedial alternatives for an acid mine drainage stream: Application of a reactive transport model.” Environ. Sci. Technol. 36 (5): 1093–1101. https://doi.org/10.1021/es0109794.
Runkel, R. L., B. A. Kimball, D. M. McKnight, and K. E. Bencala. 1999. “Reactive solute transport in streams: A surface complexation approach for trace metal sorption.” Water Resour. Res. 35 (12): 3829–3840. https://doi.org/10.1029/1999WR900259.
Schnoor, J. L. 1996. Environmental modeling: Fate and transport of pollutants in water, air, and soil. New York: Wiley.
Shoemaker, L., T. Dai, J. Koenig, and M. Hantush. 2005. TMDL model evaluation and research needs. Washington, DC: National Risk Management Research Laboratory, USEPA.
Singleton, V., B. Jacob, M. Feeney, and J. Little. 2013. “Modeling a proposed quarry reservoir for raw water storage in Atlanta, Georgia.” J. Environ. Eng. 139 (1): 70–78. https://doi.org/10.1061/(ASCE)EE.1943-7870.0000582.
Smith, D. L., T. L. Threadgill, and C. E. Larson. 2012. Modeling the hydrodynamics and water quality of the lower Minnesota River using CE-QUAL-W2: A report on the development, calibration, verification, and application of the model. Vicksburg, MS: US Army Engineer Research and Development Center.
Smith, R. A. 1980. “The theoretical basis for estimating phytoplankton production and specific growth rate from chlorophyll, light and temperature data.” Ecol. Modell. 10 (3–4): 243–264. https://doi.org/10.1016/0304-3800(80)90062-9.
Sørensen, H. R., T. V. Jacobsen, J. T. Kjelds, J. Yan, and E. Hopkins. 1999. “Application of MIKE SHE and MIKE 11 for integrated hydrological modelling in South Florida.” In Proc., 3rd DHI Software Conf. Helsingor, Denmark: Danish Hydraulic Institute.
Steele, J. H. 1962. “Environmental control of photosynthesis in the sea.” Limnol. Oceanogr. 7 (2): 137–150. https://doi.org/10.4319/lo.1962.7.2.0137.
Streeter, H., and E. Phelps. 1925. A study of the pollution and natural purification of the Ohio River. Part III: Factors concerned in the phenomena of oxidation and reaeration. Washington, DC: US Dept. of Health, Education and Welfare.
Sullivan, A. B., H. I. Jager, and R. Myers. 2003. “Modeling white sturgeon movement in a reservoir: The effect of water quality and sturgeon density.” Ecol. Modell. 167 (1–2): 97–114. https://doi.org/10.1016/S0304-3800(03)00169-8.
Tetra Tech. 2007. The environmental fluid dynamics code theory and computation volume 3: Water quality module. Fairfax, VA: Tetra Tech.
Threadgill, T. L., D. F. Turner, L. A. Nicholas, B. W. Bunch, D. H. Tillman, and D. L. Smith. 2017. Temperature modeling of Lost Creek Lake using CE-QUAL-W2: A report on the development, calibration, verification, and application of the model. Vicksburg, MS: US Army Engineer Research and Development Center.
USACE. 2016. HEC-RAS river analysis system. Version 5.0. user’s manual. Davis, CA: Hydrologic Engineering Center.
USACE. 2018. “HEC-RAS website.” Accessed November 2, 2018. http://www.hec.usace.army.mil/software/hec-ras/.
USEPA. 1991. Guidance for water quality-based decisions: The TMDL process. Washington, DC: USEPA.
USEPA. 1996. Nonpoint source pollution: The nation’s largest water quality problem. Washington, DC: USEPA.
USEPA. 2002a. Metals and pH total maximum daily loads (TMDLs) for the West Fork River Watershed, West Virginia. Philadelphia: USEPA.
USEPA. 2002b. Total maximum daily loads for toxic pollutants San Diego Creek and Newport Bay, California. Washington, DC: USEPA.
USEPA. 2009. Proposed total maximum daily loads for the Sawgrass Lake WBID 28931 nutrients and dissolved oxygen, 33. Washington, DC: USEPA.
USEPA. 2010. Total maximum daily load for dissolved oxygen in Savannah Harbor Savannah River Basin. Washington, DC: USEPA.
USEPA. 2011. National listing of fish advisories. Washington, DC: USEPA.
USEPA. 2017. “National summary of impaired waters and TMDL information.” Accessed October 10, 2017. http://iaspub.epa.gov/waters10/attains_nation_cy.control?p_report_type=T#causes_303d.
USEPA. 2018a. “Clean water act section 303(d): Impaired waters and total maximum daily loads (TMDLs).” Accessed November 2, 2018. https://www.epa.gov/tmdl.
USEPA. 2018b. “EFDC distribution website.” Accessed November 2, 2018. https://www.epa.gov/ceam/environment-fluid-dynamics-code-efdc-download-page.
USEPA. 2018c. “Environmental modeling community of practice.” Accessed November 1, 2018. https://www.epa.gov/ceam.
USEPA. 2018d. “Impaired waters and Mercury.” Accessed November 1, 2018. https://www.epa.gov/tmdl/impaired-waters-and-mercury.
USEPA. 2018e. “WASP distribution website.” Accessed November 2, 2018. http://epawasp.twool.com/.
USGS (US Geological Survey). 2018. “One-dimensional transport with equilibrium chemistry (OTEQ): A reactive transport model for streams and rivers.” Accessed November 1, 2018. https://water.usgs.gov/software/OTEQ/.
Whitman, W. G. 1923. “The two film theory of gas absorption.” Chem. Metallurg. Eng. 29 (4): 146–148.
Wool, T. A., R. B. Ambrose, J. L. Martin, and E. A. Corner. 2003a. Water quality analysis simulation program (WASP), version 6: Draft user’s manual. Athens, GA: Environmental Research Laboratory, USEPA.
Wool, T. A., S. R. Davie, and H. N. Rodriguez. 2003b. “Development of three-dimensional hydrodynamic and water quality models to support total maximum daily load decision process for the Neuse River Estuary, North Carolina.” J. Environ. Eng. 129 (4): 295–306. https://doi.org/10.1061/(ASCE)0733-9496(2003)129:4(295).
Wu, W., and D. A. Vieira. 2002. One-dimensional channel network model CCHE1D 3.0-Technical manual. Oxford, MS: Univ. of Mississippi.
Zhang, H., D. A. Culver, and L. Boegman. 2008. “A two-dimensional ecological model of Lake Erie: Application to estimate Dreissenid impacts on large lake plankton populations.” Ecol. Modell. 214 (2–4): 219–241. https://doi.org/10.1016/j.ecolmodel.2008.02.005.
Zhang, Y. 2013. CCHE-GUI: Graphical users interface for NCCHE model quick start guide: Version 4.x. Oxford, MS: Univ. of Mississippi.
Zhang, Z., and B. E. Johnson. 2014. Application and evaluation of the HEC-RAS: Nutrient simulation module (NSMI). Vicksburg, MS: US Army Engineer Research and Development Center.
Zhang, Z., and B. E. Johnson. 2016a. Aquatic contaminant and mercury simulation modules developed for hydrological and hydraulic models. Vicksburg, MS: US Army Engineer Research and Development Center.
Zhang, Z., and B. E. Johnson. 2016b. Aquatic nutrient simulation modules (NSMs) developed for hydrologic and hydraulic models. Vicksburg, MS: US Army Engineer Research and Development Center.
Zhang, Z., and B. E. Johnson. 2017. Hydrologic engineer center-river analysis system (HEC-RAS) water temperature models developed for the Missouri River recovery management plan and environmental impact statement. Vicksburg, MS: US Army Engineer Research and Development Center.
Zhu, T. 2006. “A depth-averaged two-dimensional water quality model as a research and management tool.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of Mississippi.
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. https://doi.org/10.1061/(ASCE)0733-9372(2006)132:4(555).
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Journal of Hydrologic Engineering
Volume 24 • Issue 2 • February 2019
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©2018 American Society of Civil Engineers.
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Received: Sep 27, 2017
Accepted: Jul 10, 2018
Published online: Nov 21, 2018
Published in print: Feb 1, 2019
Discussion open until: Apr 21, 2019
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