Abstract
Numerical simulation models have a long history as research tools for the study of coastal marine ecosystems, and are increasingly being used to inform management, particularly related to nutrient-fueled eutrophication. Demand for modeling assessments is rapidly increasing, and managers need generally applicable tools that can be rapidly applied with limited resources. Additionally, a variety of calls have been made for the development of reduced complexity models for use in parallel with more complex models. We propose a simplified, empirically constrained modeling approach that simulates the first-order processes involved in estuarine eutrophication, contains a small number of aggregated state variables and a reduced set of parameters, and combines traditional mechanistic formulations with robust, data-driven, empirical functions shown to apply across multiple systems. The model was applied to Greenwich Bay, RI (USA), a subestuary of Narragansett Bay, and reproduced the annual cycles of phytoplankton biomass, dissolved inorganic nutrients, and dissolved oxygen, events including phytoplankton blooms and development of hypoxia, and the rate of annual primary production. While the model was relatively robust to changes in parameter values and initial conditions, sensitivity analysis revealed the need for better constraint of the phytoplankton carbon-to-chlorophyll ratio, temperature dependence of phytoplankton production, and parameters associated with our formulations for water column respiration and the flux of phytoplankton carbon to the sediments. This reduced complexity, hybrid empirical-mechanistic approach provides a rapidly deployable modeling tool applicable to a wide variety of shallow estuarine systems.
Dr. Nixon is deceased.
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References
Abdelrhman MA (2005) Simplified modeling of flushing and residence times in 42 embayments in New England, USA, with special attention to Greenwich Bay, Rhode Island. Est. Coast. Shelf Sci. 62:339–351
Baird ME, Walker SJ, Wallace BB, Webster IT, Parslow JS (2003) The use of mechanistic descriptions of algal growth and zooplankton grazing in an estuarine eutrophication model. Est. Coast. Shelf Sci. 56(3–4):685–695
Beatty LL (1991) The response of benthic suspension feeders and their grazing impact on phytoplankton in eutrophied coastal ecosystems. PhD dissertation, University of Rhode Island, Kingston, RI, 351Â pp
Boynton WR, Murray L, Hagy JD, Stokes C, Kemp WM, (1996) A comparative analysis of eutrophication patterns in a temperate coastal lagoon. Estuaries 19(2), 408–412
Bricker S, Longstaff B, Dennison W, Jones A, Boicourt K, Wicks C, Woerner J (2007) Effects of nutrient enrichment in the nation’s estuaries: a decade of change. NOAA Coastal Ocean Program Decision Analysis Series No. 26, National Centers for Coastal Ocean Science, Silver Spring, MD, 328 pp
Brush MJ (2002) Development of a numerical model for shallow marine ecosystems with application to Greenwich Bay, RI. PhD Dissertation, University of Rhode Island, Kingston, RI, 560Â pp
Brush MJ, Brawley JW (2009) Adapting the light · biomass (BZI) models of phytoplankton primary production to shallow marine ecosystems. J Marine Syst 75:227–235
Brush MJ, Brawley JW, Nixon SW, Kremer JN (2002) Modeling phytoplankton production: problems with the Eppley curve and an empirical alternative. Mar Ecol Prog Ser 238:31–45
Brush MJ, Harris LA (2010) Introduction to the special issue of Ecological Modelling: advances in modeling estuarine and coastal ecosystems: approaches, validation, and applications. Ecol Model 221:965–968
Brush MJ, Harris LA (2016) Ecological modeling. In: Kennish MJ (ed) Encyclopedia of Estuaries. Encyclopedia of Earth Sciences Series. Springer, The Netherlands, pp 214–223
Brush MJ, Nixon SW (2010) Modeling the role of macroalgae in a shallow sub-estuary of Narragansett Nay, RI (USA). Ecol Model 221:1065–1079
Caffrey JM (2003) Production, respiration and net ecosystem metabolism in U.S. estuaries. Environ Monit Assess 81:207–219
Caffrey JM, Cloern JE, Grenz C (1998) Changes in production and respiration during a spring phytoplankton bloom in San Francisco Bay, California, USA: implications for net ecosystem metabolism. Mar Ecol Prog Ser 172:1–12
Cerco CF, Noel MR (2004a) The 2002 Chesapeake Bay Eutrophication Model. Report 903-R-04-004, Chesapeake Bay Program Office. U.S. Environmental Protection Agency, Annapolis, MD, p 349
Cerco CF, Noel MR (2004b) Process-based primary production modeling in Chesapeake Bay. Mar Ecol Prog Ser 282:45–58
Chen C, Tian R, Beardsley RC, Qi J, Xu Q (2010) Modeling 2008 in Massachusetts Bay using an upgraded unstructured-grid Bays Eutrophication Model. Report 2010–2015, Massachusetts Water Resources Authority, Boston, MA, 118 pp
Cloern JE, Grenz C, Vidergar-Lucas L (1995) An empirical model of the phytoplankton chlorophyll:carbon ratio—the conversion factor between productivity and growth rate. Limnol Oceanogr 40(7):1313–1321
Cole BE (1989) Temporal and spatial patterns of phytoplankton production in Tomales Bay, California, USA. Est Coast Shelf Sci 28:103–115
Cole BE, Cloern JE (1987) An empirical model for estimating phytoplankton productivity in estuaries. Mar Ecol Prog Ser 36:299–305
Denman KL (2003) Modelling planktonic ecosystems: parameterizing complexity. Prog Oceanogr 57(3–4):429–452
Doering PH, Oviatt CA (1986) Application of filtration rate models to field populations of bivalves: an assessment using experimental mesocosms. Mar Ecol Prog Ser 31:265–275
Duarte CM, Amthor JS, DeAngelis DL, Joyce LA, Maranger RJ, Pace ML, Pastor J, Running SW (2003) The limits to models in ecology. In: Canham CD, Cole JJ, Lauenroth WK (eds) Models in ecosystem Science. Princeton University Press, Princeton, NJ, pp 437–451
Durbin EG, Krawiec RW, Smayda TJ (1975) Seasonal studies on the relative importance of different size fractions of phytoplankton in Narragansett Bay (USA). Mar Biol 32(3):271–287
EPA (Environmental Protection Agency) (1999) Protocol for developing nutrient TMDLs. U.S. EPA report 841-B-99-007, U.S. EPA Office of Water, Washington, DC, 135Â pp
Eppley RW (1972) Temperature and phytoplankton growth in the sea. Fish Bull 70(4):1063–1085
Erikson LH (1998) Flushing times of Greenwich Bay, Rhode Island: estimates based on freshwater inputs. M.S. thesis, University of Rhode Island, Kingston, RI, 178Â pp
Fourqurean JW, Webb KL, Hollibaugh JT, Smith SV (1997) Contributions of the plankton community to ecosystem respiration, Tomales Bay, California. Est Coast Shelf Sci 44(4):493–505
Fraher J (1991) Atmospheric wet and dry deposition of fixed nitrogen to Narragansett Bay. M.S. thesis, University of Rhode Island, Kingston, RI, 165Â pp
Friedrichs MAM, Hood RR, Wiggert JD (2006) Ecosystem model complexity versus physical forcing: quantification of their relative impact with assimilated Arabian Sea data. Deep-Sea Res Pt II 53:576–600
Frithsen JB, Keller AA, Pilson MEQ (1985a) Effects of inorganic nutrient additions in coastal areas: a mesocosm experiment data report, vol 1. MERL series, report no 3, University of Rhode Island, Kingston, RI, 176Â pp
Frithsen JB, Keller AA, Pilson MEQ (1985b) Effects of inorganic nutrient additions in coastal areas: a mesocosm experiment data report, vol 3. MERL series, report no 5, University of Rhode Island, Kingston, RI, 244Â pp
Frithsen JB, Lane PA, Keller AA, Pilson MEQ (1985c) Effects of inorganic nutrient additions in coastal areas: a mesocosm experiment data report, vol 2. MERL series, report no 4, University of Rhode Island, Kingston, RI, 330Â pp
Fulton EA, Smith ADM, Johnson CR (2003) Effect of complexity on marine ecosystem models. Mar Ecol Prog Ser 253:1–16
Fulton EA, Smith ADM, Johnson CR (2004) Effects of spatial resolution on the performance and interpretation of marine ecosystem models. Ecol Model 176(1–2):27–42
Furnas MJ, Hitchcock GL, Smayda TJ (1976) Nutrient-phytoplankton relationships in Narragansett Bay during the 1974 spring bloom. In: Wiley M (ed) Estuarine Processes, vol I., Uses, stresses, and adaptation to the estuaryAcademic Press, New York, NY, pp 118–133
Ganju NK, Brush MJ, Rashleigh B, Aretxabaleta AL, del Barrio P, Forsyth M, Grear JS, Harris LA, Lake SJ, McCardell G, O’Donnell J, Ralston DK, Signell RP, Testa JM, Vaudrey JMP (2016) Progress and challenges in coupled hydrodynamic-ecological estuarine modeling. Est Coast. 39:311–332
Ganz A, Lazar N, Valliere A (1994) Quahaug management project, phase I: Greenwich Bay. Report to the Narragansett Bay Project, Rhode Island Division of Fish, Wildlife and Estuarine Resources, Coastal Fisheries Lab, Wakefield, RI, 58Â pp
Geider RJ, MacIntyre HL, Kana TM (1998) A dynamic regulatory model of phytoplanktonic acclimation to light, nutrients, and temperature. Limnol Oceanogr 43(4):679–694
Giblin AE, Vallino JJ (2003) The role of models in addressing coastal eutrophication. In: Canham CD, Cole JJ, Lauenroth WK (eds) Models in ecosystem science. Princeton University Press, Princeton, NJ, pp 327–343
Goebel NL, Kremer JN (2007) Temporal and spatial variability of photosynthetic parameters and community respiration in Long Island Sound. Mar Ecol Prog Ser 329:23–42
Granger S, Brush M, Buckley B, Traber M, Richardson M, Nixon SW (2000) An assessment of eutrophication in Greenwich Bay. Paper no. 1 In: Schwartz M (ed) Restoring water quality in Greenwich Bay: a whitepaper series. Rhode Island Sea Grant College Program, Narragansett, RI, 19Â pp
Grangere K, Lefebvre S, Menesguen A, Jouenne F (2009) On the interest of using field primary production data to calibrate phytoplankton rate processes in ecosystem models. Est. Coast. Shelf Sci. 81(2):169–178
Harris GP, Bigelow SW, Cole JJ, Cyr H, Janus LL, Kinzig AP, Kitchell JF, Likens GE, Reckhow KH, Scavia D, Soto D, Talbot LM, Templer PH (2003) The role of models in ecosystem management. In: Canham CD, Cole JJ, Lauenroth WK (eds) Models in ecosystem science. Princeton University Press, Princeton, NJ, pp 299–307
Harris LA, Brush MJ (2012) Bridging the gap between empirical and mechanistic models of aquatic primary production with the metabolic theory of ecology: an example from estuarine ecosystems. Ecol Model 233:83–89
Hibbert CJ (1977) Energy relations of the bivalve Mercenaria mercenaria on an intertidal mudflat. Mar Biol 44:77–84
Holligan PM, IeB Williams PJ, Purdie D, Harris RP (1984) Photosynthesis, respiration and nitrogen supply of plankton populations in stratified, frontal and tidally mixed shelf waters. Mar Ecol Progr Ser 17:201–213
Hopkinson CS Jr, Smith EM (2005) Estuarine respiration: an overview of benthic, pelagic, and whole system respiration. In: Giorgio PA del IeB Williams PJ (eds) Respiration in aquatic systems. Oxford University Press, Oxford, pp 122–146
Howarth RW, Marino R, Garritt R, Sherman D (1992) Ecosystem respiration and organic carbon processing in a large, tidally influenced river: the Hudson River. Biogeochemistry 16:83–102
HydroQual (1991) Water quality modeling analysis of hypoxia in Long Island Sound. Report to the Management Committee of the Long Island Sound Estuary Study and the New England Interstate Water Pollution Control Commission, HydroQual Inc., Mahwah, NJ, 280Â pp
Iriarte A, Daneri G, Garcia VMT, Purdie DA, Crawford DW (1991) Plankton community respiration and its relationship to chlorophyll a concentration in marine coastal waters. Oceanol Acta 14(4):379–388
Jensen LM, Sand-Jensen K, Marcher S, Hansen M (1990) Plankton community respiration along a nutrient gradient in a shallow Danish estuary. Mar Ecol Progr Ser 61(1–2):75–85
Jiang MS, Zhou M (2008) Massachusetts Bay Eutrophication Model: 2005 simulation. Report 2008–2013 Massachusetts Water Resources Authority, Boston, MA, 85 pp
Keller AA (1986) Modeling the productivity of natural phytoplankton populations using mesocosm data along a nutrient gradient. PhD dissertation, University of Rhode Island, Kingston, RI, 240Â pp
Keller AA (1988) Estimating phytoplankton productivity from light availability and biomass in the MERL mesocosms and Narragansett Bay. Mar Ecol Progr Ser 45:159–168
Kelly JR, Doering PH (1997) Monitoring and modeling primary production in coastal waters: studies in Massachusetts Bay 1992–1994. Mar Ecol Progr Ser 148:155–168
Kemp WM, Sampou PA, Garber J, Tuttle J, Boynton WR (1992) Seasonal depletion of oxygen from bottom waters of Chesapeake Bay: roles of benthic and planktonic respiration and physical exchange processes. Mar Ecol Progr Ser 85(1–2):137–152
Kremer JN, Nixon SW (1978) A coastal marine ecosystem: simulation and analysis. Springer, New York, NY 217Â pp
Kremer JN, Vaudrey J, Ullman D, Bergondo D, LaSota N, Kincaid C, Codiga D, Brush MJ (2010) Simulating property exchange in estuarine ecosystem models at ecologically appropriate scales. Ecol Model 221(7):1080–1088
Lefèvre N, Taylor AH, Gilbert FJ, Geider RJ (2003) Modeling carbon to nitrogen and carbon to chlorophyll a ratios in the ocean at low latitudes: evaluation of the role of physiological plasticity. Limnol Oceanogr 48(5):1796–1807
Levins R (1966) The strategy of model building in population biology. Am Sci 54:421–431
Li Y, Smayda TJ (1998) Temporal variability of chlorophyll in Narragansett Bay, 1973–1990. ICES J Mar Sci 55(4):661–667
Loosanoff VL (1939) Effect of temperature upon shell movements of clams, Venus mercenaria (L). Biol Bull 76:171–182
Marino R, Howarth RW (1993) Atmospheric oxygen exchange in the Hudson River: dome measurements and comparison with other natural waters. Estuaries 16(3A):433–445
McGlathery KJ, Sundbäck K, Anderson IC (2007) Eutrophication in shallow coastal bays and lagoons: the role of plants in the coastal filter. Mar Ecol Progr Ser 348:1–18
Ménesguen A, Cugier P, Loyer S, Vanhoutte-Brunier A, Hoch T, Guillaud J-F, Gohin F (2007) Two- or three-layered box-models versus fine 3D models for coastal ecological modelling? A comparative study in the English Channel (Western Europe). J Marine Syst 64(1–4):47–65
Moncoiffe G, Alvarez-Salgado XA, Figueiras FG, Savidge G (2000) Seasonal and short-time-scale dynamics of microplankton community production and respiration in an inshore upwelling system. Mar Ecol Progr Ser 196:111–126
NGDC (National Geophysical Data Center) (1996) GEOphysical DAta System for hydrographic survey data (CD-ROM database). U.S. National Oceanic and Atmospheric Administration, Boulder, CO
Nixon SW (1986) Nutrient dynamics and the productivity of marine coastal waters. In: Halwagy R, Clayton D, Behbehani M (eds) Marine environment and pollution. The Alden Press, Oxford, pp 97–115
Nixon SW, Fulweiler RW, Buckley BA, Granger SL, Nowicki BL, Henry KM (2009) The impact of changing climate on phenology, productivity, and benthic-pelagic-coupling in Narragansett Bay. Est Coast Shelf Sci 82:1–18
Nixon SW, Ammerman JW, Atkinson LP, Berounsky VM, Billen G, Boicourt WC, Boynton WR, Church TM, DiToro DM, Elmgren R, Garber JH, Giblin AE, Jahnke RA, Owens NJP, Pilson MEQ, Seitzinger SP (1996) The fate of nitrogen and phosphorus at the land-sea margin of the North Atlantic Ocean. Biogeochemistry 35:141–180
Nixon S, Buckley B, Granger S, Bintz J (2001) Response of very shallow marine ecosystems to nutrient enrichment. Hum Ecol Risk Assess 7:1457–1481
Nixon SW, Granger SL, Nowicki BL (1995) An assessment of the annual mass balance of carbon, nitrogen, and phosphorus in Narragansett Bay. Biogeochemistry 31:15–61
Nixon SW, Oviatt CA (1973) Ecology of a New England salt marsh. Ecol Monogr 43:463–498
Nixon SW, Oviatt CA, Frithsen J, Sullivan B (1986) Nutrients and the productivity of estuarine and coastal marine ecosystems. J Limnol Soc South Afr 12(1/2):43–71
Nixon SW, Oviatt CA, Hale SS (1976) Nitrogen regeneration and the metabolism of coastal marine bottom communities. In: Anderson JM, Macfadyen A (eds) The role of terrestrial and aquatic organisms in decomposition processes. Blackwell Scientific, Oxford, pp 269–283
Nowicki BL (1983) Benthic community metabolism in a coastal lagoon ecosystem. M.S. thesis, University of Rhode Island, Kingston, RI, 109Â pp
Nowicki BL, Oviatt CA (1990) Are estuaries traps for anthropogenic nutrients? Evidence from estuarine mesocosms. Mar Ecol Progr Ser 66:131–146
NRC (National Research Council) (2000) Clean coastal waters: understanding and reducing the effects of nutrient pollution. National Academy Press, Washington, DC, 405Â pp
Obenour DR, Michalak A, Scavia D (2014) Assessing biophysical controls on Gulf of Mexico hypoxia through probabilistic modeling. Ecol Appl 25(2):492–505
Odum HT (1994) Ecological and general systems: an introduction to systems ecology, 2nd edn. University Press of Colorado, Niwot, CO 644Â pp
Officer CB (1980) Box models revisited. In: Hamilton P, MacDonald KB (eds) Estuarine and wetland processes with emphasis on modeling. Plenum Press, New York, NY, pp 65–114
Officer CB, Kester DR (1991) On estimating the non-advective tidal exchanges and advective gravitational circulation exchanges in an estuary. Est Coast Shelf Sci 32:99–103
Oviatt C, Buckley B, Nixon S (1981) Annual phytoplankton metabolism in Narragansett Bay calculated from survey field measurement and micrososm observations. Estuaries 4(3):167–175
Oviatt C, Keller A, Reed L (2002) Annual primary production in Narragansett Bay with no bay-wide winter-spring phytoplankton bloom. Est Coast Shelf Sci 54:1013–1026
Pace ML (2001) Prediction and the aquatic sciences. Can J Fish Aq Sci 58(1):63–72
Pennock JR, Sharp JH (1986) Phytoplankton production in the Delaware Estuary: temporal and spatial variability. Mar Ecol Progr Ser 34:143–155
Pilson MEQ (1985) Annual cycles of nutrients and chlorophyll in Narragansett Bay, Rhode Island. J Mar Res 43:849–873
Raick C, Soetaert K, Gregoire M (2006) Model complexity and performance: how far can we simplify? Progr Oceanogr 70(1):27–57
Reckhow KH (1994) Water quality simulation modeling and uncertainty analysis for risk assessment and decision making. Ecol Model 72(1–2):1–20
Riebesell U (1989) Comparison of sinking and sedimentation rate measurements in a diatom winter/spring bloom. Mar Ecol Prog Ser 54:109–119
Rigler FH, Peters RH (1995) Science and limnology. Book 6 In: Kinne O (ed) Excellence in ecology. International Ecology Institute, Oldendorf/Luhe, 239Â pp
Rogers JM (2008) Circulation and transport in upper Narragansett Bay. M.S. thesis, University of Rhode Island, Kingston, RI, 95Â pp
Rudnick D, Oviatt C (1986) Seasonal lags between organic carbon deposition and mineralization in marine sediments. J Mar Res 44(4):815–837
Sampou P, Kemp WM (1994) Factors regulating plankton community respiration in Chesapeake Bay. Mar Ecol Prog Ser 110:249–258
Scavia D, Justic D, Bierman VJ Jr (2004) Reducing hypoxia in the Gulf of Mexico: advice from three models. Estuaries 27(3):419–425
Scavia D, Kelly ELA, Hagy JD (2006) A simple model for forecasting the effects of nitrogen loads on Chesapeake Bay hypoxia. Est Coasts 29:674–684
Scavia D, Evans MA, Obenour DR (2013) A scenario and forecast model for Gulf of Mexico Hypoxia area and volume. Environ Sci Tech 47:10423–10428
Smith EM, Kemp WM (1995) Seasonal and regional variations in plankton community production and respiration for Chesapeake Bay. Mar Ecol Prog Ser 116(1–3):217–231
Stickney AP, Stringer LD (1957) A study of the invertebrate bottom fauna of Greenwich Bay, Rhode Island. Ecology 38(1):111–122
Stow CA, Roessler C, Borsuk ME, Bowen JD, Reckhow KH (2003) Comparison of estuarine water quality models for total maximum daily load development in Neuse River Estuary. J Water Resour Plann Manage 129(4):307–314
Swaney DP, Scavia D, Howarth RW, Marino RM (2008) Estuarine classification and response to nitrogen loading: insights from simple ecological models. Est. Coast. Shelf Sci. 77:253–263
Swanson JC, Jayko K (1988) A simplified estuarine box model of Narragansett Bay. Final report to the Narragansett Bay Project and U.S. Environmental Protection Agency, Applied Science Associates, Narragansett, RI 80Â pp
Testa JM, Kemp WM (2008) Regional, seasonal, and inter-annual variability of biogeochemical processes and physical transport in a partially stratified estuary: a box-modeling analysis. Mar Ecol Prog Ser 356:63–79
Turner RE (1978) Community plankton respiration in a salt marsh estuary and the importance of macrophytic leachates. Limnol Oceanogr 23(3):442–451
Valiela I, Foreman K, LaMontagne M, Hersh D, Costa J, Peckol P, DeMeo-Andreson B, D’Avanzo C, Babione M, Sham C-H, Brawley J, Lajtha K (1992) Couplings of watersheds and coastal waters: sources and consequences of nutrient enrichment in Waquoit Bay, Massachusetts. Estuaries 15(4):443–457
Van Nes EH, Scheffer M (2005) A strategy to improve the contribution of complex simulation models to ecological theory. Ecol Model 185:153–164
Vargo GA (1979) The contribution of ammonia excreted by zooplankton to phytoplankton production in Narragansett Bay. J Plankton Res 1(1):75–84
Vollenweider RA (1974) A manual on methods for measuring primary production in aquatic environments. Blackwell Scientific Publications, Oxford 225Â pp
Acknowledgements
The authors wish to thank J.N. Kremer and J.W. Brawley, with whom this approach and formulations were developed while working on parallel models for Greenwich Bay and Waquoit Bay, MA. The work further benefited from frequent discussions with C.A. Oviatt, A.A. Keller, S.L. Granger, A.J. Gold, D.E. Campbell, P.V. August, L. Erikson, and M.L. Spaulding. S.L. Granger, M. Traber, M. Richardson, and B. Buckley were responsible for much of the data collection in Greenwich Bay. Funding for this research was provided by the Rhode Island Sea Grant College Program (NOAA), Narragansett Electric, and the NOAA Center for Sponsored Coastal Ocean Research (Coastal Hypoxia Research Program, grant no. NA05NOS4781201). This is VIMS’ contribution no. 3620 and NOAA Coastal Hypoxia Research Program contribution no. 213.
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Brush, M.J., Nixon, S.W. (2017). A Reduced Complexity, Hybrid Empirical-Mechanistic Model of Eutrophication and Hypoxia in Shallow Marine Ecosystems. In: Justic, D., Rose, K., Hetland, R., Fennel, K. (eds) Modeling Coastal Hypoxia. Springer, Cham. https://doi.org/10.1007/978-3-319-54571-4_4
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