Skip to main content
Log in

Uncertainty in predicting weathering rate and environmental stress factors with the profile model

  • Published:
Water, Air, and Soil Pollution Aims and scope Submit manuscript

Abstract

The PROFILE model is a steady state soil chemistry model which is used to calculate soil weathering rate. The model has also been used to calculate critical loads of acidity and N to forest soils, using the ratio of Ca+Mg+K to total inorganic aluminium in the soil solution as criterion, and to surface waters, using the ANC leached from the soil column as criterion.

An uncertainty analysis of the PROFILE model was performed by Monte Carlo analysis, varying input parameter errors individually and simultaneously in ranges of ±10–100%, depending on parameter. The uncretainty in calculation of weathering rate, ANC leaching and ratio of Ca+Mg+K to inorganic Al in the soil solution was studied for three Nordic sites. Furthermore, the effect of uncertainty in estimates of critical load for forest soils was assessed.

The analysis shows that the weathering rate can be calculated with high precision, provided that the errors of input parameter are within the range that has been reported in the literature. The model tend to be less sensitive to errors in input parameters for the range of conditions where forest damage is most likely to occur. Critical loads of acid deposition for one site calculated on the basis of the model varies within a largest range of ±40%. A study of one geographical grid included in the Swedish critical loads assessment shows that with the number of calculation points in the grid, the distribution of critical loads will stay stable independently of stochastic errors.

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.

Similar content being viewed by others

References

  • Alveteg, M., Warfvinge, P. and Sverdrup, H.: 1995, Developing a kinetic alternative in modelling soil aluminium, Water, Air, and Soil Pollution (accepted for publication).

  • Aune, E., Dahl, E., and Løes, A.-K.: 1989, Medd. Nor. Inst. Skogsforsk. 42, 133.

    Google Scholar 

  • Castelle, A. and Galloway, J.: 1990, Soil Sci. Soc. Am. 54, 252.

    Google Scholar 

  • Gardelin, M. and Warfvinge, P.: 1992, Data base, in P. Sandén and P. Warfvinge (eds.), Modelling acidification of groundwater, Swedish Meteorological and Hydrological Institute (SMHI), Norrköping, p. 13.

    Google Scholar 

  • Gardner, R.: 1983, Error analysis and sensitivity analysis in ecology, in M. Singh (ed.), Encyclopedia of systems and control, Pergamon Press, London, p. 1549.

    Google Scholar 

  • Gundersen, P.: 1992, Mass balance approaches for establishing critical loads for nitrogen in terrestrial ecosystems, Critical loads for nitrogen — a workshop report, Nord 1992:41, Nordic Council of Ministers, Copenhagen, p. 55.

    Google Scholar 

  • Henriksen, A., Kämäri, J., Posch, M, Lövblad, G., Forsius, M. and Wilander, A.: 1990, Critical loads to surface waters in Fennoscandia, Miljörapport 1990:17, Nordic Council of Minister, Copenhagen, 33 pp.

    Google Scholar 

  • Hinder, A. and Nilssen, J.: 1983, Årsrapport 1980/1981 Kalkningsprosjektet i Gjerstad, Aust-Agder, Miljöverndepartementet, Oslo, 54 pp.

    Google Scholar 

  • Jacks, G., Åberg, G. and Hammilton, P.: 1989, Nordic Hydrology 20, 85.

    Google Scholar 

  • Landmann, G. (ed.): 1991, French research into forest decline, ENGREF (Ecole nationale du génie rural, des eaux et des forêts), Nancy, 120 pp.

    Google Scholar 

  • Maxe, L., Lundin, L., Jacks, G. and Knutsson, G.: 1994, Effects of acidification on groundwater in Sweden — Hydrological and Hydrochemical processes, Royal Institute of Technology, Stockholm.

    Google Scholar 

  • Matzner, E.: 1987, Rates of Na, K, Ca and Mg release by weathering derived from long term flux monitoring in two forested ecosystems in Germany, in T. Pačes (ed.), Geochemical monitoring in small representative catchments, Proceedings of the Geomon workshop, Geological Survey, Prague, p. 10.

    Google Scholar 

  • Nilsson, J. and Grennfelt, P. (eds.): 1988, Critical loads for sulphur and nitrogen, Nord 1988:15, Nordic Council of Ministers, Copenhagen, 418 pp.

    Google Scholar 

  • Olsson, M. and Melkerud, P. A.: 1991, Determination of weathering rates based on geochemical properties of the soil, in E. Pulkkinen (ed.), Environmental Geochemistry in northern Europe No. 34, Special Paper 9, Geological Survey of Finland, Espoo, p. 69.

    Google Scholar 

  • Pačes, T.: 1986, Journal of the Geological Society, London 143, 673.

    Google Scholar 

  • Rasmussen, L. and Hansen, K.: 1992, Air pollution effects on forests examined by manipulation of the forest ecosystem, Lab. of Environmental Sciences and Ecology, Technical University of Denmark, Lyngby.

    Google Scholar 

  • Snäll, S., Brusewitz, A.-M. and Ålinder, C.: 1992, Mineralogisk analys av moräner, Swedish Geological Survey, Uppsala, 16 pp.

    Google Scholar 

  • Sverdrup, H. and Warfvinge, P.: 1991, On the geochemistry of chemical weathering, in K. Rosén (ed.), Chemical Weathering under Field Conditions, Reports on Forest Ecology and Forest Soils No. 63, Swedish University of Agricultural Sciences, Uppsala, Sweden, p. 79.

    Google Scholar 

  • Sverdrup, H. and Warfvinge, P.: 1992, Applied Geochemistry 8(3), 273.

    Google Scholar 

  • Sverdrup, H. P. W., Rabenhorst, M., Janicki, A., Morgan, R., and Bowman, M.: 1992a, Env. pollut. 77, 195.

    Google Scholar 

  • Sverdrup, H. U., de Vries, W., and Henriksen, A.: 1990, Mapping Critical Loads, Miljörapport 1990:98, Nordic Council of Ministers, Copenhagen, 123 pp.

    Google Scholar 

  • Sverdrup, H., Warfvinge, P., and Jönsson, C.: 1992b, Critical loads for forest soils, groundwater and first order streams in Sweden, in E. Eriksson (ed.), Proceedings of the annual Brittish Critical Load meeting. IAHS-AISH Publication No. 150.

  • Sverdrup, H., Warfvinge, P. and Rosén, K.: 1991, Water, Air and Soil Pollut. 61, 365.

    Google Scholar 

  • Sverdrup, H., Warfvinge, P., Johansson, M., Frogner, T., Håöja, A.-O., and Andersen, B.: 1992c, Ambio 5, 348.

    Google Scholar 

  • Tiwari, J. and Hobbie, J.: 1976, Math. Bioscience 3, 25.

    Google Scholar 

  • Warfvinge, P. and Sverdrup, H.: 1992, Water, Air, and Soil Pollut. 63, 119.

    Google Scholar 

  • Warfvinge, P., Holmberg, M., Posch, M., and Wright, R.: 1992, Ambio 5, 369.

    Google Scholar 

  • Warfvinge, P., Sverdrup, H., and Rosén, K.: 1993, Calculating critical loads for n to forest soils, in P. Grennfelt and E. Thörnelöf (eds.), Critical Loads for Nitrogen, Nordic Council of Ministers, Copenhagen, p. 403.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jönsson, C., Warfvinge, P. & Sverdrup, H. Uncertainty in predicting weathering rate and environmental stress factors with the profile model. Water Air Soil Pollut 81, 1–23 (1995). https://doi.org/10.1007/BF00477253

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00477253

Keywords

Navigation