Abstract
Empirical investigations have indicated that projections of future atmospheric carbon dioxide concentrations of a quality quite adequate for practical questions regarding the environmental threat of anthropogenic carbon dioxide emissions and its relationship to energy use policy could be made with the simple assumption that a constant fraction of these emissions would be retained by the atmosphere. By analysis of the structural behavior of equations describing the transfer of carbon and carbon dioxide between their several reservoirs we have been able to demonstrate that this characteristic can be explained to result from approximately linear behavior and exponentially growing carbon dioxide release rates, combined with fitting of carbon cycle model parameters to the last twenty years of observed atmospheric carbon dioxide growth.
These conclusions are independent of the details of carbon cycle model structure for projections up to 100 years into the future as long as the growth in atmospheric carbon dioxide release rates is sufficiently high, of the order of 1.5% per annum or more, as referenced to p re-industrial (steady state) conditions. At low rates of growth, when the longer response times of the carbon cycling system become important, for most energy use projections the resultant CO2 induced climate changes are small and the uncertainties in predicted atmospheric carbon dioxide level are thus not important. A possible exception to this condition occurs for scenarios of future fossil fuel use rates designed to avoid atmospheric CO2 levels exceeding a chosen threshold. In this instance details of carbon cycle model structure could significantly affect conclusions that might be drawn concerning future energy use policies; however, it is possible that such a result stems from inappropriate specification of a criterion for an environmental threat, rather than from inherent inadequacy of current carbon cycle models.
Recent carbon cycle model developments postulate transfer processes of carbon into the deep ocean, large carbon storage reservoir at rates much higher than in the models we have analysed. If the existence of such mechanisms is confirmed, and they are found to be sufficiently rapid and large, some of our conclusions regarding the use of the constant fractional retention assumption may have to be modified.
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References
Bacastow, R. and Keeling, C. D.: 1973, ‘Atmospheric Carbon Dioxide and Radiocarbon in the Natural Carbon Cycle: II. Changes from A.D. 1700 to 2070 as Deduced from a Geochemical Model’, in G. W. Woodwell and E. V. Pecant (eds.),Carbonaria the Biosphere, U.S. Atomic Energy Commission Report CONF-720510.
Bacastow, R. and Keeling, C. D.: 1977, ‘Models to Predict Future Atmospheric CO2 Concentrations’, in W. P. Elliot and L. Machta (eds.),Workshop on the Global Effects of Carbon Dioxide from Fossil Fuels, U.S. Department of Energy Report CONF-770385.
Baes, C. F. Jr.: 1981, ‘The Response of the Oceans to Increasing Atmospheric Carbon Dioxide’, Institute for Energy Analysis Research Memorandum ORAU/IEA-81-6(M). Oak Ridge, Tennessee.
Björkström, A.: 1979, ‘A Model of CO2 Interaction Between Atmosphere, Oceans and Land Biota’, in B. Bolin, E. T. Degens, S. Kempe, and F. Ketner (eds.),The Global Carbon Cycle, John Wiley, New York.
Bolin, B., Degens, E. T., Duvigneaud, P., and Kempe, S.: 1979, ‘The Global Biogeochemical Cycle’, inThe Global Carbon Cycle, John Wiley, New York.
Broecker, W. S., Takahashi, T., Simpson, H. J., and Peng, T. H.: 1979, ‘Fate of Fossil Fuel Carbon Dioxide and the Global Carbon Budget’,Science 206, 409–418.
Broecker, W. S., Peng, T. H., and Engh, R.: 1980, ‘Modeling the Carbon System’, inProceedings of the Carbon Dioxide and Climate Workshop Research Program Conference, U.S. Department of Energy Report CONF-8004110, UC-11, Washington, D.C.
Chamberlin, J. W., Foley, H. F., MacDonald, G. J., and Rudeiman, M.: 1982, ‘Climatic Effects of Minor Atmospheric Constituents’, Draft report on the summer 1981 JASON study.
Council on Environmental Quality: 1981,Global Energy Futures and the Carbon Dioxide Problem, Washington, D.C.
Flohn, H.: 1980, ‘Possible Climatic Consequences of a Man-Made Global Warming’, International Institute for Applied Systems Analysis, report RR-80-30. Laxenburg, Austria.
Hampicke, U: 1980, ‘The Role of the Biosphere’, in W. Bach, J. Pankrath, and J. Williams (eds.),Energy/Climate Interactions, D. Reidel Publ. Co., Dordrecht, Holland.
Hoffert, M. I., Callegari, A. J., and Hseih, C. T.: 1981, ‘A Box-Diffusion Model with Upwelling Polar Bottom Water Formation and a Marine Biosphere’, in B. Bolin (ed.),Carbon Cycle Modeling, SCOPE report No. 16. John Wiley, New York.
Keeling, C. D.: 1973, ‘The Carbon Dioxide Cycle’, in S. I. Rasool (ed.),Chemistry of the Lower Atmosphere, Plenum Press, New York.
Keeling, C. D,: 1980, ‘The Suess Effect:13Carbon -14Carbon Interrelations’,Environment International 2, 229–300.
Keeling, C. D. and Bacastow, R. B.: 1977, ‘Impact of Industrial Gases on Climate’, inEnergy and Climate, National Academy of Sciences, Washington, D.C.
Keeling, C. D., Bacastow, R. B., and Tans, P. P.: 1981, ‘Predicted Shifts in the 13C/14C Ratio of Atmospheric Carbon Dioxide’, Preprint.
Killough, G. G. and Emanuel, W. R.: 1981, ‘A Comparison of Several Models of Carbon Turnover in the Ocean with Respect to their Distribution of Transit Time and Ages and Responses to Atmospheric CO2 and14C’,Tellus 33, 274–290.
Kohlmaier, G. H., Fischback, U., Kratz, U., Siré, E. O., Hirschberger, J., and Schunk, W.: 1979, ‘Modeling Man's Impact on the Subsystem Atmosphere-Biosphere of the Global Carbon Cycle’, in W. Bach, J. Pankrath, and W. W. Kellogg (eds.),Man's Impact on Climate, Elsevier, New York.
Laurmann, J. A.: 1978, ‘Fossil Fuel Utilization Policy Assessment and CO2 Induced Climate Change’, in J. Williams (ed.),Carbon Dioxide, Climate and Society, Pergamon Press, Oxford.
Laurmann, J. A.: 1979, ‘Market Penetration Characteristics for Energy Production and Atmospheric CO2 Growth’,Science 205, 896–898.
Laurmann, J. A.: 1980, ‘Climate Change from Fossil Fuel Generated CO2 and Energy Use Policy’,Environment International 2, 461–475.
Loucks, O. L.: 1980, ‘Recent Results from Studies of Carbon Cycling’, inProceedings of the Carbon Dioxide and Climate Workshop Research Program Conference, U.S. Department of Energy Report CONF-8004110, UC-11. Washington, D.C.
Lovins, A. B.: 1980, ‘Economically Efficient Energy Futures’, in W. Bach, J. Pankrath, and J. Williams (eds.),Energy I Climate Interactions, D. Reidel Publ. Co., Dordrecht, Holland.
Lovins, A. B., Lovins, H., Krause, F., and Bach, W.: 1982,Least-Cost Energy, Brick House Publishing, Andover, Mass.
Machta, L. and Telegadas, K.: 1974, ‘Inadvertant Large Scale Weather Modification’, in W. N. Hess (ed.),The Changing Global Environment, John Wiley, New York.
Michael, P., Hoffert, M., and Tobias, M.: 1981, ‘Transient Climate Response to Changing Carbon Dioxide Concentration’,Climatic Change 3, 137–153.
National Academy of Sciences: 1979, ‘Carbon Dioxide and Climate: A Scientific Assessment’, Washington, D.C.
Niehaus, F.: 1979, ‘Carbon Dioxide as a Constraint for Global Energy Scenarios’, in W. Bach, J. Pankrath, and W. Kellogg (eds.),Man's Impact on Climate, Elsevier, New York.
Oeschger, U., Siegenthaler, U., Schotterer, U., and Gugelmann, A.: 1975, ‘A Box Diffusion Model to Study the Carbon Dioxide Exchange in Nature’,Tellus 27, 168–192.
Oeschger, H., Siegenthaler, U., Schotterer, U., Gugelmann, A., and Heinmann, U.: 1980, ‘The Carbon Dioxide Cycle and its Perturbation by Man’, in W. Bach, J. Pankrath, and J. Williams (eds.),Energy/ Climate Interactions, D. Reidel Publ. Co., Dordrecht, Holland.
Olsen, J. S., Pfuderer, H. A., and Chan, Y. H.: 1978, ‘Changes in the Global Carbon Cycle and the Biosphere’, Oak Ridge National Laboratory Report, ORNL/EIS - 109.
Perry, A. M., Fulkerson, W., Araj, K. J., Rose, D. J., Miller, M. M., and Rotty, R. M.: 1981, ‘Energy Supply and Demand mplications of CO2’. to appear inEnergy.
Revelle, R. and Munk, W.: 1977, ‘Carbon Dioxide Cycle and the Biosphere’, inEnergy and Climate, National Academy of Sciences, Washington, D.C.
Rotty, R. M.: 1976, ‘Global Carbon Dioxide Production from Fossil Fuels and Cement A.D. 1950 – A.D. 2000’, Institute for Energy Analysis Memorandum (M)-76-4. Oak Ridge, Te.
Rotty, R.M. and Marland, G.: 1980, ‘Constraints on Fossil Fuel Use’, in W. Bach, J. Pankrath and J. Williams (eds.),Interactions of Energy and Climate, D. Reidel Publ. Co., Dordrecht, Holland.
Science: 1980, ‘Carbon Budget not so out of Whack’,Science 208, 1358.
Siegenthaler, U. and Oeschger, H.: 1978, ‘Predicting Future Atmospheric Carbon Dioxide Levels’,Science 199, 388–395.
Seiler, W. and Crutzen, P. J.: 1980, ‘Estimates of Gross and Net Fluxes of Carbon Between the Biosphere and the Atmosphere from Biomass Burning’,Climatic Change 2, 207–247.
Siré, E. O., Kohlmaier, G. H., Kratz, G., Fischbach, U., and Bröhl, H.: 1981, ‘Comparative Dynamics of Atmosphere-Ocean-Models within the Description of the Perturbed Global Carbon Cycle’,Z. Naturforsch. 36a, 233–250.
Smith, S. V.: 1981, ‘Marine Macrophytes as a Global Carbon Sink’,Science 211, 838–840.
Stuiver, M.: 1978, ‘Atmospheric Carbon Dioxide and Carbon Reservoir Changes’,Science 199, 253–258.
Viecelli, J. A., Ellsaesser, H. W., and Burt, J. E.: 1981, ‘A Carbon Cycle Model with Latitude Dependence’,Climatic Change 3, 281–301.
Woodwell, G. M., Whittaker, R. H., Reiners, W. A., Likens, G. E., Delwiche, C. C. and Botkin, D. B.: 1978, ‘The Biota and the World Carbon Budget’,Science 199, 141.
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Currently at the Gas Research Institute, 8600 West Bryn, Mawr Ave., Chicago, IL 60631, U.S.A.
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Laurmann, J.A., Spreiter, J.R. The effects of carbon cycle model error in calculating future atmospheric carbon dioxide levels. Climatic Change 5, 145–181 (1983). https://doi.org/10.1007/BF02423488
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DOI: https://doi.org/10.1007/BF02423488