Skip to main content
Log in

A dynamic mass balance model for phosphorus fluxes and concentrations in coastal areas

  • Original Article
  • Published:
Ecological Research

Abstract

This paper presents a general, process-based mass balance model (CoastMab) for total phosphorus (TP) in defined coastal areas (at the ecosystem scale). The model is based on ordinary differential equations and calculates inflow, outflow and internal fluxes on a monthly basis. It consists of four compartments: surface water, deep water, erosion/transportation areas for fine sediments and accumulation areas for fine sediments. The separation between surface water and deep water is not done based on water temperature, but on sedimentological criteria instead (from the theoretical wave base). There are algorithms for all major internal TP fluxes (sedimentation, resuspension, diffusion, mixing and burial). Validations were performed using data from 21 different Baltic coastal areas. The results show that the model predicts monthly TP in water and chlorophyll a very well (generally within the uncertainty bands of the empirical data). The model has also been put through sensitivity tests, which show that the most important factor regulating the predictions of the model is generally the TP concentration in the sea beyond the coast. The model is simple to apply, since all driving variables may be accessed from maps or monitoring programs. The driving variables include coastal area, section area (between the defined coastal area and the adjacent sea), mean and maximum depths, latitude (used to predict water temperatures, stratification and mixing), salinity and TP concentration in the sea. Many of the model structures are general and could be used for areas other than those included in this study, e.g., for open coasts, estuaries or tidal coasts, as well as for other substances than phosphorus.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1A–D
Fig. 2
Fig. 3
Fig. 4A–C
Fig. 5
Fig. 6A–C
Fig. 7
Fig. 8
Fig. 9
Fig. 10A–B
Fig. 11A–F
Fig. 12A–F
Fig. 13
Fig. 14A–B
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  • Aertbjerg G (ed) (2001) Eutrophication in Europe’s coastal waters (Topic Report 7/2002). European Environment Agency, Copenhagen

  • Bryhn A, Håkanson L, Eklund J (2005) Variabilities and uncertainties in key coastal water variables as a basis for understanding changes and obtaining predictice power in modelling. Uppsala University, Uppsala

  • Burban P-Y, Lick W, Lick J (1989) The flocculation of fine-grained sediments in estuarine waters. J Geophys Res 94:8223–8330

    Google Scholar 

  • Burban P-Y, Xu Y-J, McNeiel J, Lick W (1990) Settling speeds of flocs in freash water and seawater. J Geophys Res 95:18213–18220

    Article  Google Scholar 

  • Chapra SC, Reckhow K (1979) Expressing the phosphorus loading concept in probabalistic terms. J Fish Res Bd Can 36:225–229

    Google Scholar 

  • Chapra SC, Reckhow K (1983) Engineering approaches for lake management. Vol. 2. Mechanistic modelling. Butterworth, Woburn, MA

  • Dillon PJ, Riegler FH (1974) A test of a simple nutrient budget model predicting the phosphorus concentration in lake water. J Fish Res Bd Can 31:1771–1778

    CAS  Google Scholar 

  • Dillon PJ, Rigler FH (1975) A simple method for predicting the capacity of a lake for development based on lake trophic status. J Fish Res Bd Can 32:1519771–1531

    Google Scholar 

  • Håkanson L (1984) Suspension and calibration of a sediment trap. Schweiz Z Hydrol 46:172–175

    Google Scholar 

  • Håkanson L (1986) The Swedish coastal zone project—sediment types and morphometry. In: Sly PG (ed) Sediment and water interactions. Springer, Berlin Heidelberg New York, pp 35–51

    Google Scholar 

  • Håkanson L (1991) Physical geography of the Baltic (The Baltic University Program, Session 1). Uppsala University, Uppsala (ISBN 91-506-0876-2)

  • Håkanson L (1999) Water pollution—methods and criteria to rank, model and remediate chemical threats to aquatic ecosystems. Backhuys, Leiden

  • Håkanson L (2000) Modelling radiocesium in lakes and coastal areas—new approaches for ecosystem modellers. Kluwer, Dordrecht

  • Håkanson L (2006) Suspended particulate matter in lakes, rivers and marine systems. Blackburn Press, Caldwell, NJ

  • Håkanson L, Boulion V (2002) The lake foodweb—modelling predation and abiotic/biotic interactions. Backhuys, Leiden

  • Håkanson L, Jansson M (1983) Principles of lake sedimentology. Springer, Berlin Heidelberg New York

  • Håkanson L, Karlsson M (2004) A dynamic model to predict phosphorus fluxes, concentrations and eutrophication effects in Baltic coastal areas. In: Karlsson M (ed) Predictive modelling—a tool for aquatic environmental management. Thesis, Dept. of Earth Sci, Uppsala University, Uppsala

  • Håkanson L, Peters RH (1995) Predictive limnology: methods for predictive modelling. SPB Academic, Amsterdam

  • Håkanson L, Kulinski I, Kvarnäs H (1984) Water dynamics and bottom dynamics in coastal areas (in Swedish, “Vattendynamik och bottendynamik i kustzonen”). SNV PM 1905, Solna

  • Håkanson L, Floderus S, Wallin M (1989) Sediment trap assemblages—a methodological description. Hydrobiologia 176/177:481–490

    Article  Google Scholar 

  • Håkanson L, Blenckner T, Malmaeus JM (2004b) New, general methods to define the depth separating surface water from deep water, outflow and internal loading for mass-balance models for lakes. Ecol Model 175:339–352

    Google Scholar 

  • Håkanson L, Gyllenhammar A, Brolin A (2004a) A dynamic model to predict sedimentation and suspended particulate matter in coastal areas. Ecol Model 175:353–384

    Google Scholar 

  • Jeffrey SW, Humphrey GF (1975) New spectrophometric equations for determination chlorophylls a, b, c 1 and c2 in higher plants, algae and natural phytoplankton. Biochem Physiol Pflanz 167:191–194

    CAS  Google Scholar 

  • Karlsson M, Håkanson L (2001) Miljökonsekvensanalys av Korsnäsverkens fosforutsläpp till Gävle Yttre fjärd. Uppsala University, Uppsala

  • Kranck K (1973) Flocculation of suspended sediment in the sea. Nature 246:348–350

    Article  Google Scholar 

  • Kranck K (1979) Particle matter grain-size characteristics and flocculation in a partially mixed estuary. Sedimentology 28:107–114

    Article  Google Scholar 

  • Lick W, Lick J, Ziegler CK (1992) Flocculation and its effect on the vertical transport of fine-grained sediments. Hydrobiologia 235/236:1–16

    Article  Google Scholar 

  • Lundin LC (1999) Water in society (session from “Sustainable water management in the Baltic Sea basin”, a Baltic University course). Uppsala University, Uppsala

  • Lundin LC (2000a) The waterscape (session from “Sustainable water management in the Baltic Sea basin”, a Baltic University course). Uppsala University, Uppsala

  • Lundin LC (2000b) River basin management (session from “Sustainable water management in the Baltic Sea basin”, a Baltic University course). Uppsala University, Uppsala

  • Mann KH (1982) Ecology of coastal waters: a systems approach. Blackwell, Oxford

  • Meeuwig JJ, Kauppila P, Pitkänen H (2000) Predicting coastal eutrophication in the Baltic: a limnological approach. Can J Fish Aquat Sci 57:844–855

    Article  Google Scholar 

  • Monte L, Håkanson L, Perianez R, Laptev G, Zheleznyak M, Maderich V, Angeli G, Koshebutsky V (2006) Experiences from a case study of multi-model application to assess the behaviour of pollutants in the Dnieper-Bug Estuary. Ecol Model 195:247–263

    Google Scholar 

  • Nordvarg L (2001) Predictive models and eutrophication effects of fish farms. PhD thesis, Uppsala University, Uppsala

  • OECD (1982) Eutrophication of waters: monitoring, assessment and control. OECD, Paris

  • Ottosson F, Abrahamsson O (1998) Presentation and analysis of a model simulating epilimnetic and hypolimnetic temperatures in lakes. Ecol Model 110:223–253

    Google Scholar 

  • Pearson TH, Rosenberg R (1976) A comparative study on the effects on the marine environment of wastes from cellulose industries in Scotland and Sweden. Ambio 5:77–79

    Google Scholar 

  • Persson J, Håkanson L (1995) Prediction of bottom dynamic conditions in coastal waters. Mar Freshwater Res 46:359–371

    Google Scholar 

  • Persson J, Håkanson L (1996) A simple empirical model to predict deepwater turnover time in coastal waters. Can J Fish Aquat Sci 53:1236–1245

    Article  Google Scholar 

  • Persson J, Håkanson L, Pilesjö P (1994) Prediction of surface water turnover time in coastal waters using digital bathymetric information. Environmetrics 5:433–449

    Google Scholar 

  • Petersen JK, Hansen JW, Laursen MB, Conley D (2005) Regime shift in a marine coastal ecosystem. National Environmental Research Institute, Roskilde, Denmark, and County of Ringkjoebing, Denmark

  • Pilesjö P, Persson J, Håkanson L (1991) Digital bathymetric information for calculations of morphometrical parameters and surface water retention time for coastal areas (in Swedish). Report No. 3916, National Swedish Environmental Protection Agency (SNV), Solna, Sweden

  • Rosenberg R (1985) Eutrophication—the future marine coastal nuisance? Mar Pollut Bull 16:227–231

    Article  CAS  Google Scholar 

  • Sandberg J, Elmgren R, Wulff F (2000) Carbon flows in Baltic Sea food webs—a re-evaluation using a mass balance approach. J Mar Syst 25:249–260

    Google Scholar 

  • Various (1990) Special issue on marine eutrophication. Ambio 19:102–176

  • Various (2000) Eutrophication and contaminants in the aquatic environment. Ambio (4–5):183–290

  • Voipio A (ed) (1981) The Baltic Sea. Elsevier, Amsterdam, 418 p

  • Vollenweider RA (1968) The scientific basis of lake eutrophication, with particular reference to phosphorus and nitrogen as eutrophication factors (Tech. Rep. DAS/DSI/68.27). OECD, Paris

  • Vollenweider RA (1976) Advances in defining critical loading levels for phosphorus in lake eutrophication. Mem Ist Ital Idrobiol 33:53–83

    CAS  Google Scholar 

  • Wallin M, Håkanson L (1991) Morphometry and sedimentation as regulating factors for nutrient recycling in shallow coastal waters. Hydrobiologia 75:33–46

    Google Scholar 

  • Wallin M, Håkanson L, Persson J (1992) Load models for nutrients in coastal areas, especially from fish farms (in Swedish with English summary). Doc 1992:502, Nordiska ministerrådet, Copenhagen

  • Wulff F, Rahm L, Larsson P (eds) (2001) A systems analysis of the Baltic Sea (Ecol Stud 148). Springer, Berlin Heidelberg New York

Download references

Acknowledgements

This work has been carried out within the framework of the Thresholds projects and integrated EU project coordinated by Prof. Carlos M. Duarte, CSIC University Illes Balears, Spain, and the author would like to acknowledge the financial support from the EU and the constructive cooperation that occurred within the project. We would also like to specifically thank Magnus Karlsson not just for supplying data from two coastal areas (Gävle and Gårdfjäden), but also for providing valuable contributions at earlier stages of model development. The data from Åland (Finland) emanate from the monitoring program performed by the Environmental Department (The Local Government) in The City of Mariehamn, which is acknowledged here for sharing data with us.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lars Håkanson.

About this article

Cite this article

Håkanson, L., Eklund, J.M. A dynamic mass balance model for phosphorus fluxes and concentrations in coastal areas. Ecol Res 22, 296–320 (2007). https://doi.org/10.1007/s11284-006-0045-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11284-006-0045-5

Keywords

Navigation