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The Tolerable Windows Approach: Theoretical and Methodological Foundations

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Abstract

The tolerable windows (TW) approach is presented as a novel scheme for integrated assessment of climate change. The TW approach is based on the specification of a set of guardrails for climate evolution which refer to various climate-related attributes. These constraints, which define what we call tolerable windows, can be purely systemic in nature – like critical thresholds for the North Atlantic Deep Water formation – or of a normative type – like minimum standards for per-capita food production worldwide. Starting from this catalogue of knock-out criteria and using appropriate modeling techniques, those policy strategies which are compatible with all the constraints specified are sought to be identified. In addition to the discussion of the basic elements and the general theory of the TW approach, a modeling exercise is carried out, based on simple models and assumptions adopted from the German Advisory Council on Global Change (WBGU). The analysis shows that if the global mean temperature is restricted to 2°C beyond the preindustrial level, the cumulative emissions of CO2 are asymptotically limited to about 1550 Gt C. Yet the temporal distribution of these emissions is also determined by the climate and socio-economic constraints: using, for example, a maximal tolerable rate of temperature change of 0.2°C/dec and a smoothly varying emissions profile, we obtain the maximal cumulative emissions, amounting to 370 Gt C in 2050 and 585 Gt C in 2100.

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References

  • AIM: 1997, AIM: Asian-Pacific Integrated Model, National Institute for Environmental Studies, Japan.

    Google Scholar 

  • Alcamo, J. (ed.): 1994, IMAGE 2.0: Integrated Modeling of Global Climate Change. Kluwer Academic Press, Dordrecht/Boston/London.

    Google Scholar 

  • Alcamo, J. and Kreilemans, E.: 1996, 'Emission Scenarios and Global Climate Protection', Global Environ. Change 6, 305-334.

    Google Scholar 

  • Aubin, J. and Cellina, A.: 1984, Differential Inclusions, Springer, Berlin.

    Google Scholar 

  • Brewer, G. D.: 1986, 'Methods for Synthesis: Policy Exercises', in Clark, W. C. and Munn, R. E. (eds.), Sustainable Development of the Biosphere, Cambridge University Press, Cambridge, p. 455.

    Google Scholar 

  • Bruce, J., Lee, H., and Haites, E.: 1996, Climate Change 1995: Economic and Social Dimensions of Climate Change — Contribution of WG III to the Second Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge.

    Google Scholar 

  • Bruckner, T. and Petschel-Held, G.: 1999, 'Applications of Differential Inclusions in Environmental Sciences', to be submitted.

  • Bruckner, T., Petschel-Held, G., Tóth, F. L., Füssel, H.-M., Helm, C., Leimbach, M., and Schellnhuber, H.-J.: 1999a, 'Climate Change Decision-Support and the Tolerable Windows Approach', Environ. Model. Assess., submitted.

  • Bruckner, T., Petschel-Held, G., and Tóth, F. L.: 1998, 'The Tolerable Windows Approach to Global Warming', Paper presented at the 1. World Congress of Environmental and Resource Economists, Venice, 25–27 June 1998 (http://www.feem.it/gnee/paplists/papa4.html).

  • Cohen, S. J.: 1997, 'Mackenzie Basin Impact Study (MBIS)', Technical Report, Environment Canada.

  • Deimling, K.: 1992, Multivalued Differential Equations, in De Gruyter Series in Nonlinear Analysis and Applications, No. 1, De Gruyter, Berlin.

    Google Scholar 

  • Dowlatabadi, H.: 1998: 'Reflections on Setting and Meeting Thresholds for Climate Change', Clim. Change, submitted.

  • Enquete-Kommission: 1990, 'Schutz der Erdatmosphäre: Eine internationale Herausforderung', Bonn, Enquete-Kommission 'Vorsorge zum Schutz der Erdatmosphäre' des 11. dt. Bundestages, Economica-Verlag.

    Google Scholar 

  • Falkenmark, M. and Widstrand, C.: 'Population and Water Resources. A Delicate Balance', Population Bulletin, Population Reference Bureau, Washington D.C.

  • Grubb, M., Chapuis, T., and Ha Duong, M.: 1995, 'The Economics of Changing Course: Implications of Adaptability and Inertia for Optimal Climate Policy', Energy Policy 23, 417-432.

    Google Scholar 

  • Hasselmann, K., Hasselmann, S., Giering, R., Ocaña, V., and von Storch, H.: 1997, 'Sensitivity Study of Optimal CO2 Emission Paths Using a Simplified Structural Integrated Assessment Model (SIAM)', Clim. Change 37, 345-386.

    Google Scholar 

  • Helm, C., Bruckner, T., and Tóth, F.L.: 1998, 'Value Judgments and the Choice of Climate Protection Strategies', Int. J. Social Econo., accepted.

  • IPCC: 1996, Intergovernmental Panel on Climate Change: Climate Change 1995, Cambridge University Press, Cambridge.

    Google Scholar 

  • Kattenberg, A. et al.: 1996, 'Climate Models — Projections of Future Climate', in Houghton, J. T., Meira Filho, L. G., Callander, B. A., Harris, N., Kattenberg, A., and Maskell, K.: Climate Change 1995 — The Science of Climate Change, Contribution of WGI to the Second Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge, p. 285.

    Google Scholar 

  • Kurzhanski, A. and Vályi, I.: 1997, Ellipsoidal Calculus for Estimation and Control, Birkhäuser, Boston.

    Google Scholar 

  • Manne, A., Mendelsohn, R., and Richels, R.: 1995, 'MERGE: A Model for Evaluating Regional and Global Effects of GHG Reduction Policies', Energy Policy 23, 17-34.

    Google Scholar 

  • Martens, W., Jetten, T., Rotmans, J., and Nielssen, L.: 1995, 'Climate Change and Vector Borne Diseases: A Global Modeling Perspective', Global Environ. Change 5, 195-209.

    Google Scholar 

  • Matsuoka, Y., Morita, T., and Kawashima, Y.: 1996, 'An Estimation of a Negotiable Safe Emissions Corridor Based on the AIM Model', Discussion paper prepared for the 2nd CoP of the UNFCCC.

  • Maier-Reimer, E. and Hasselmann, K.: 1987, 'Transport and Storage of CO2 in the Ocean — An Inorganic Ocean-Circulation Carbon Cycle Model', Clim. Dyn. 2, 63-90.

    Google Scholar 

  • Munasinghe, M., Meier, P., Hoel, H., Hing, S., and Aaheim, A.: 1996, 'Applicability of Techniques of Cost-Benefit Analysis to Climate Change', in Bruce, J., Lee, H., and Haites, E. (eds.), Climate Change 1995: Economic and Social Dimensions of Climate Change — Contribution of WG III to the Second Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge.

    Google Scholar 

  • Nakićenović, N.: 1996, 'Energy Primer', in Watson, R., Zinyowera, M. Moss, R. (eds.), Climate Change 1995: Impacts, Adaptation, and Mitigation of Climate Change — Scientific-Technical Analysis — Contribution of WG II to the Second Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge.

    Google Scholar 

  • Nakićenović, N., Nordhaus, W. D., Richels, R., and Tóth, F. L. (eds.), 1996, 'Climate Change: Integrating Science, Economics, and Policy', IIASA CP-96-10, IIASA, Laxenburg.

    Google Scholar 

  • Nordhaus, W. D.: 1992, 'An Optimal Transition Path for Controlling Greenhouse Gases', Science 258, 1315-1319.

    Google Scholar 

  • Nordhaus, W. D.: 1997, 'Discounting in Economics and Climate Change', Clim. Change 37, 315-328.

    Google Scholar 

  • Nordhaus, W. D. and Yang, Z.: 1995, RICE: A Regional Dynamic General Equilibrium Model of Optimal Climate Policy, Yale University Press, New Haven.

    Google Scholar 

  • Panasyuk, A.: 1990, 'Equations of Attainable Set Dynamics, Part 2: Partial Differential Equations', J. Opt. Theory Appl. 64, 367-377.

    Google Scholar 

  • Papageorgiou, M.: 1991, Optimierung, Oldenbourg Verlag, München/Wien.

    Google Scholar 

  • Pearce, D., Cline, W., Achanta, A., Fankhauser, S., Pachauri, R., Tol, R., and Vellinga, P.: 1996, 'The Social Costs of Climate Change: Greenhouse Damage and the Benefits of Control', in Bruce, J., Lee, H., and Haites, E. (eds.), Climate Change 1995: Economic and Social Dimensions of Climate Change — Contribution of WG III to the Second Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge.

    Google Scholar 

  • Pontryagin, L., Boltyanskii, V., and Mishchenko, E.: 1964, The Mathematical Theory of Optimal Processes, Interscience, New York.

    Google Scholar 

  • Rahmstorf, S.: 1994, 'Rapid Climate Transitions in a Coupled Ocean-Atmosphere Model', Nature 372, 82-85.

    Google Scholar 

  • Rahmstorf, S.: 1995, 'Bifurcations of the Atlantic Thermohaline Circulation in Response to Changes in the Hydrological Cycle', Nature 378, 145-149.

    Google Scholar 

  • Rijsberman, F. and Swart, R.: 1990, Targets and Indicators of Climatic Change, Environment Institute, Stockholm.

    Google Scholar 

  • Rosenzweig, C. and Parry, M. L.: 1994, 'Potential Impact of Climate Change on World Food Supply', Nature 367, 133-138.

    Article  Google Scholar 

  • Schellnhuber, H.-J. and Yohe, G. W.: 1997, 'Comprehending the Economic and Social Dimensions of Climate Change by Integrated Assessment', Proceedings of the WCRP-Conference, Geneva, August 1997.

  • Schellnhuber, H.-J. and Kropp, J.: 1998, 'Geocybernetics: Controlling a Complex System under Uncertainty', Naturwissenschaften 85, 411-425.

    Google Scholar 

  • Schönwiese, C.-D.: 1987, 'Climate Variations', in Etling, D., Hantel, M., Kraus, H., and Schönwiese, C.-D. (eds.): Landolt-Boernstein — Zahlenwerte und Funktionen aus Naturwissenschaft und Technik, Vol. 4 of Neue Serie Gruppe V, Springer-Verlag, Heidelberg.

    Google Scholar 

  • Shukla, P.: 1997, 'Economic Structure in Developing Countries', in Intergovernmental Panel on Climate Change (IPCC), Climate Change and Integrated Assessment Models (IAMs) — Bridging the Gaps, CGER-Report CGER-I029-'97, Center for Global Environmental Research, Ibaraki, p. 163.

    Google Scholar 

  • Simon, H.: 1987, Models of Man, Garland, New York, reprint of 1st edition 1957.

    Google Scholar 

  • Stocker, Th. F. and Schmittner, A.: 1997, 'Influence of CO2 Emission Rates on the Stability of the Thermohaline Circulation', Nature 388, 862-865.

    Article  Google Scholar 

  • Strzepek, K., Yates, D., and El Quosy, D.: 1996, 'Vulnerability Assessment of Water Resources in Egypt to Climatic Change in the Nile Basin', Clim. Res. 6, 89-95.

    Google Scholar 

  • Svirezhev, Y., Brovkin, V., von Bloh, W., Schellnhuber, H.-J., and Petschel-Held, G.: 1998, 'Optimization of Reduction of Global CO2 Emissions Based on a Simple Model of the Carbon Cycle', Environ. Model. Assess., in press.

  • Tol, R.: 1995, 'The Damage Costs of Climate Change: Towards More Comprehensive Calculations', Environ. Resour. Econ. 5, 353-374.

    Google Scholar 

  • Tóth, F. L.: 1986, 'Practicing the Future: Implementing the Policy Exercise Concept', IIASA WP-86-23, IIASA, Laxenburg.

    Google Scholar 

  • Tóth, F. L., Bruckner, T., Füssel, H.-M., Leimbach, M., Petschel-Held, G., and Schellnhuber, H.-J.: 1997, 'The Tolerable Windows Approach to Integrated Assessments', in Intergovernmental Panel on Climate Change (IPCC), Climate Change and Integrated Assessment Models[IAMs] — Bridging the Gaps, CGER-Report CGER-I029-'97, Center for Global Environmental Research, Ibaraki, p. 401.

    Google Scholar 

  • Tóth, F.L., Leimbach, M., Bruckner, T., and Petschel-Held, G.: 1998, 'Tolerable Climate Windows and Emission Corridors: New Results With the ICLIPS Model'. Paper presented at the Joint FEES/ETSAP Workshop: Energy Models for Decision Support — New Challenges and Possible Solutions, Berlin, 4–5 May 1998.

  • United Nations: 1995, Framework Convention on Climate Change, United Nations.

  • Watson, R., Zinyowera, M., and Moss, R. (eds.): 1996, Climate Change 1995: Impacts, Adaptation, and Mitigation of Climate Change — Scientific-Technical Analysis — Contribution of WG II to the Second Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge.

    Google Scholar 

  • WBGU: 1993, German Advisory Council on Global Change: World in Transition — Basic Structure of Man-Environment Interaction, Economica-Verlag, Bonn.

    Google Scholar 

  • WBGU: 1995, German Advisory Council on Global Change: Scenario for the Derivation of Global CO 2 Reduction Targets and Implementation Strategies, Bremerhaven.

  • WBGU: 1996, German Advisory Council on Global Change: World in Transition — Ways Towards Global Environmental Solutions, Springer, Berlin.

    Google Scholar 

  • Weyant, J., Davidson, O., Dowlatabadi, H., Edmonds, J., Grubb, M., Parson, E., Richels, R., Rotmans, J., Shukla, P., Tol, R., Cline, W., and Fankhauser, S.: 1996, 'Integrated Assessment of Climate Change: An Overview and Comparison of Approaches and Results', in Bruce J., Lee, H., and Haites, E. (eds.) Climate Change 1995: Economic and Social Dimensions of Climate Change — Contribution of WG III to the Second Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge.

    Google Scholar 

  • Wigley, T. M. L., Richels, R., Edmonds, J.: 1996, 'Economic and Environmental Choices in the Stabilization of Atmospheric CO2 Concentrations', Nature 379, 240-243.

    Google Scholar 

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Petschel-Held, G., Schellnhuber, HJ., Bruckner, T. et al. The Tolerable Windows Approach: Theoretical and Methodological Foundations. Climatic Change 41, 303–331 (1999). https://doi.org/10.1023/A:1005487123751

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