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A Numerical Simulation of Residual Circulation in Tampa Bay. Part II: Lagrangian Residence Time

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Abstract

Lagrangian retention and flushing are examined by advecting neutrally buoyant point particles within a circulation field generated by a numerical ocean model of Tampa Bay. Large temporal variations in Lagrangian residence time are found under realistic changes in boundary conditions. Two 90-day time periods are examined. The first (P1) is characterized by low freshwater inflow and weak baroclinic circulation. The second (P2) has high freshwater inflow and strong baroclinic circulation. At the beginning of both time periods, 686,400 particles are released uniformly throughout the bay. Issues relating to particle distribution and flushing are examined at three different spatial scales: (1) at the scale of the entire bay, (2) the four major regions within the bay, and (3) at the scale of individual model grid cells. Two simple theoretical models for the particle number over time, N(t), are fit to the particle counts from the ocean model. The theoretical models are shown to represent N(t) reasonably well when considering the entire bay, allowing for straightforward calculation of baywide residence times: 156 days for P1 and 36 days for P2. However, the accuracy of these simple models decreases with decreasing spatial scale. This is likely due to the fact that particles may exit, reenter, or redistribute from one region to another in any sequence. The smaller the domain under consideration, the more this exchange process dominates. Therefore, definitions of residence time need to be modified for “non-local” situations. After choosing a reasonable definition, and removal of the tidal and synoptic signals, the residence times at each grid cell in P1 is found to vary spatially from a few days to 90 days, the limit of the calculation, with an average residence time of 53 days. For P2, the overall spatial pattern is more homogeneous, and the residence times have an average value of 26 days.

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References

  • Albertson, S., M. Edie, and M. Davis. 1998. Seasonal and interannual variations of residence (Flushing) time in the West Bay of Budd Inlet. Puget Sound Research Conference, 117–122.

  • Banas, N.S. and B.M. Hickey. 2005. Mapping exchange and residence time in a model of Willapa Bay, Washington, a branching, macrotidal estuary. Journal of Geophysical Research–Oceans 110:C11011.1–C11011.201. doi:10.1029/2005JC002950.

  • Bilgili, A., J.A. Proehl, D.R. Lynch, K.W. Smith, and M.R. Swift. 2005. Estuary/ocean exchange and tidal mixing in a Gulf of Maine estuary: A Lagrangian modeling study. Estuarine, Coastal and Shelf Science 65: 607–624. doi:10.1016/j.ecss.2005.06.027.

    Article  Google Scholar 

  • Blumberg, A.F. 1990. A Primer for Ecom-3d. Hydroqual, Inc., 58.

  • Blumberg, A.F., and L.H. Kantha. 1985. Open boundary-condition for circulation models. Journal of Hydraulic Engineering-ASCE 111: 237–255.

    Google Scholar 

  • Blumberg, A., and G.L. Mellor. 1987. A description of a three-dimensional coastal ocean circulation model. Three-dimensional coastal ocean models. 1–16. Washington, DC: American Geophyscal Union.

    Google Scholar 

  • Burwell, D. 2001. Modeling the spatial structure of estuarine residence time: Eulerian and Lagrangian approaches. Ph.D. dissertation, College of Marine Science, University of South Florida, 251.

  • Cabezas, M. and R. McConnell. 1999. Incorporating the concept of risk in stormwater management. Sixth Biennial Stormwater Research & Watershed Management Conference, 275–285.

  • FDEP. 2006. Aquatic preserves a program overview. Florida Department of Environmental Protection, Office of Coastal and Aquatic Managed Areas, Tallahassee, FL, 20.

  • Fleming, L.E., L.C. Backer, and D.G. Baden. 2005. Overview of aerosolized Florida red tide toxins: Exposures and effects. Environmental Health Perspectives 113: 618–620.

    CAS  Google Scholar 

  • Galperin, B., A.F. Blumberg, and R.H. Weisberg. 1991. A time-dependent three-dimensional model of circulation in Tampa, Bay. Proceedings Tampa Bay Area Scientific Information Synposium 2, Tampa, FL, 67–75

  • Greening, H.S., and A. Janicki. 2006. Toward reversal of eutrophic conditions in a subtropical estuary: Water quality and seagrass response to nitrogen loading reductions in Tampa Bay, Florida. 163–178. USA: Springer.

    Google Scholar 

  • Hagy, J.D., W.R. Boynton, and L.P. Sanford. 2000. Estimation of net physical transport and hydraulic residence times for a coastal plain estuary using box models. Estuaries 23: 328–340. doi:10.2307/1353325.

    Article  Google Scholar 

  • Hu, C.M., F.E. Muller-Karger, and P.W. Swarzenski. 2006. Hurricanes, submarine groundwater discharge, and Florida’s red tides. Geophysical Research Letters 33:L11601. doi:10.1029/2005GL025449.

  • Huang, W.R., and M. Spaulding. 2002. Modelling residence-time response to freshwater input in Apalachicola Bay, Florida, USA. Hydrological Processes 16: 3051–3064. doi:10.1002/hyp.1088.

    Article  Google Scholar 

  • Inoue, M., and W.J. Wiseman. 2000. Transport, mixing and stirring processes in a Louisiana Estuary: A model study. Estuarine, Coastal and Shelf Science 50: 449–466. doi:10.1006/ecss.2000.0587.

    Article  Google Scholar 

  • Levine, A.D., M.T. Meyers, V.J. Harwood, V. Chivukula, G. Kish, and P. Hauck. 2003. Preliminary study of the potential for using multiple effect distillation for treatment of reclaimed water. Phase I: Evaluation of the Distribution of Pharmaceuticals, Hormones, Household and Industrial Chemicals During Wastewater Treatment at the Howard F. Curren Advanced Wastewater Treatment Facility, City of Tampa, 77.

  • Lewis, R.R. III, P.A. Clark, W.K. Fehring, H.S. Greening, R.O. Johansson, and R.T. Paul. 1999. The rehabilitation of the Tampa Bay Estuary, Florida, USA, as an example of successful integrated coastal management. Marine Pollution Bulletin 37: 468–473. doi:10.1016/S0025–326X(99)00139–3.

    Article  Google Scholar 

  • Li, C.Y., and J. O’Donnell. 1997. Tidally driven residual circulation in shallow estuaries with lateral depth variation. Journal of Geophysical Research-Oceans 102: 27915–27929. doi:10.1029/97JC02330.

    Article  Google Scholar 

  • Luketina, D. 1998. Simple tidal prism models revisited. Estuarine and Coastal Modeling 46: 77–84. doi:10.1006/Ecss.1997.0235.

    Article  Google Scholar 

  • MacCready, P. 2004. Toward a unified theory of tidally-averaged estuarine salinity structure. Estuaries 27: 561–570.

    Article  CAS  Google Scholar 

  • Mellor, G.L., and T. Yamada. 1982. Development of a turbulence closure-model for geophysical fluid problems. Reviews of Geophysics 20: 851–875. doi:10.1029/RG020i004p00851.

    Article  Google Scholar 

  • Meyers, S.D., M.E. Luther, M. Wilson, H. Havens, A. Linville, and K. Sopkin. 2007. A numerical simulation of residual circulation in Tampa Bay. Part I: Low-frequency temporal variations. Estuaries and Coasts 30:679–697.

    Google Scholar 

  • Miller, R.L., and B.F. McPherson. 1991. Estimating estuarine flushing and residence times in Charlotte Harbor, Florida, via salt balance and a box model. Limnology and Oceanography 36: 602–612.

    Article  Google Scholar 

  • Monsen, N.E., J.E. Cloern, L.V. Lucas, and S.G. Monismith. 2002. A comment on the use of flushing time, residence time, and age as transport time scales. Limnology and Oceanography 47: 1545–1553.

    Article  Google Scholar 

  • Novikov, A. 2005. Chaotic advection in tidally-dominated estuarine systems and its potential for water quality restoration. Ph.D. dissertation, Columbia University, Civil Engineering, 161.

  • Oliveira, A., and A.M. Baptista. 1997. Diagnostic modeling of residence times in estuaries. Water Resources Research 33: 1935–1946. doi:10.1029/97WR00653.

    Article  Google Scholar 

  • Pritchard, D.W. 1956. The dynamic structure of a coastal plain estuary. Journal of Marine Research 15: 33–42.

    Google Scholar 

  • Proffitt, C.E. and S.E. Travis. 2005. Albino mutation rates in red mangroves (Rhizophora mangle L.) as a bioassay of contamination history in Tampa Bay, Florida, USA. Wetlands 25:326–334. doi:10.1672/9.

    Google Scholar 

  • Rattray, M., and D.V. Hansen. 1962. A similarity solution for circulation in an Estuary. Journal of Marine Research 20: 121–133.

    Google Scholar 

  • Sheldon, J.E., and M. Alber. 2002. A Comparison of residence time calculations using simple compartment models of the Altamaha River Estuary, Georgia. Estuaries 25: 1304–1317.

    Article  Google Scholar 

  • Smagorinsky, J. 1963. General circulation experiments with the primitive equations, I. The basic experiment. Monthly Weather Review, 99–164.

  • Solis, R.S. and G.L. Powell. 1999. Hydrography, mixing characteristics, and residence times of Gulf of Mexico estuaries. In Biogeochemistry of Gulf of Mexico estuaries, eds. T. S. Bianchi, J. R. Pennock, and R. R. Twilley, 29–61. New York: Wiley.

  • Steidinger, K.A., and K. Haddad. 1981. Biologic and hydrographic aspects of red tides. Bioscience 31: 814–819. doi:10.2307/1308678.

    Article  Google Scholar 

  • Stirling, J.R. 2003. Chaotic advection, transport and patchiness in clouds of pollution in an estuarine flow. Discrete and Continuous Dynamical Systems–Series B 3: 263–284.

    Google Scholar 

  • Swarzenski, P.W., M. Baskaran, C.S. Henderson, and K. Yates. 2007. Tampa Bay as a model estuary for examining the impact of human activities on biogeochemical processes: An introduction. Marine Chemistry 104: 1–3. doi:10.1016/j.marchem.2006.12.009.

    Article  CAS  Google Scholar 

  • Urquhart-Donnelley, J., S. Fluke, E.J. O’Connor, and G.S. Mauseth. 2000. 1993 Tampa Bay oil spill: A tale of two nrdas, with one happy ending. NRDA Lessons Learned Workshop. New Orleans, LA.

  • Vincent, M.S. 2001. Development, implementation and analysis of the Tampa Bay Coastal Prediction System, Department of Civil and Environmental Engineering, College of Engineering, University of South Florida, 252.

  • Weisberg, R.H. and L.Y. Zheng. 2006. Circulation of Tampa Bay driven by buoyancy, tides, and winds, as simulated using a finite volume coastal ocean model. Journal of Geophysical Research–Oceans 111:C01005. doi:10.1029/2005JC003067.

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Acknowledgments

This work was supported in part by grants from the National Oceanic and Atmospheric Administration Coastal Services Center. Data from the Tampa Bay Physical Oceanographic Real-Time System were obtained from the NOAA Center for Operational Ocean Products and Services. Assistance with data analyses was provided by Vembu Subramanian of the USF College of Marine Science Ocean Monitoring and Prediction Lab. Thanks to Ray Pribble of Janicki Environmental, St. Petersburg, FL for providing the initial model salinity field.

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  1. Ocean Monitoring and Prediction Laboratory, College of Marine Science, University of South Florida, St. Petersburg, FL, 33701, USA

    Steven D. Meyers & Mark E. Luther

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  1. Steven D. Meyers
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Correspondence to Steven D. Meyers.

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Meyers, S.D., Luther, M.E. A Numerical Simulation of Residual Circulation in Tampa Bay. Part II: Lagrangian Residence Time. Estuaries and Coasts 31, 815–827 (2008). https://doi.org/10.1007/s12237-008-9085-0

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