Water, Air, and Soil Pollution

, Volume 105, Issue 3, pp 617–642

Reduced-Form Modelling of Surface Water and Soil Chemistry for the Tracking and Analysis Framework

  • R. Sinha
  • M. J. Small
  • P. F. Ryan
  • T. J. Sullivan
  • B. J. Cosby

DOI: 10.1023/A:1004993425759

Cite this article as:
Sinha, R., Small, M.J., Ryan, P.F. et al. Water, Air, & Soil Pollution (1998) 105: 617. doi:10.1023/A:1004993425759


A reduced-from modelling approach is used to predict soil and lake acidification as part of an integrated assessment of acid deposition effects and control strategies. The reduced-form model is based upon the mechanistic, lumped parameter watershed chemistry model, MAGIC (Model of Acidification of Groundwater in Catchments). Recent improvements to MAGIC are described, and its reduced-form representation in the Tracking and Analysis Framework (TAF), an integrated assessment model for decision and uncertainty analysis, is presented. Reduced-form models are developed for lake acid neutralising capacity (ANC), calcium, pH, and aluminium; and for soil base saturation. The model for lake ANC incorporates long-term depletion of the watershed acid neutralisation fraction, as is predicted to occur with MAGIC. In test calibrations for 33 representative watersheds in the Adirondacks, the resulting reduced-form model provides a close approximation to MAGIC, with average root mean square errors of 0.79 μeq l-1 for ANC, 1.09 μeq l-1 for calcium, 0.16 for pH, 2.52 μeq l-1 for aluminium, and 0.09% for soil base saturation. In addition, improved fish viability models are incorporated in the integrated assessment model, and predictions are demonstrated for a future deposition reduction scenario for the Adirondack region.

acid deposition Adirondacks integrated assessment lake acidification mathematical model reduced-form modelling soil acidification 

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • R. Sinha
    • 1
  • M. J. Small
    • 2
  • P. F. Ryan
    • 3
  • T. J. Sullivan
    • 4
  • B. J. Cosby
    • 5
  1. 1.Department of Civil and Environmental EngineeringCarnegie Mellon UniversityPittsburgh
  2. 2.Departments of Civil and Environmental Engineering and Engineering and Public PolicyCarnegie Mellon UniversityPittsburghU.S.A. email
  3. 3.Science Applications International CorporationOak RidgeU.S.A. email
  4. 4.E&S Environmental Chemistry, Inc.CorvallisU.S.A
  5. 5.Department of Environmental SciencesUniversity of VirginiaCharlottesvilleU.S.A. email

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