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Continued global warming after CO2 emissions stoppage


Recent studies have suggested that global mean surface temperature would remain approximately constant on multi-century timescales after CO2 emissions1,2,3,4,5,6,7,8,9 are stopped. Here we use Earth system model simulations of such a stoppage to demonstrate that in some models, surface temperature may actually increase on multi-century timescales after an initial century-long decrease. This occurs in spite of a decline in radiative forcing that exceeds the decline in ocean heat uptake—a circumstance that would otherwise be expected to lead to a decline in global temperature. The reason is that the warming effect of decreasing ocean heat uptake together with feedback effects arising in response to the geographic structure of ocean heat uptake10,11,12 overcompensates the cooling effect of decreasing atmospheric CO2 on multi-century timescales. Our study also reveals that equilibrium climate sensitivity estimates based on a widely used method of regressing the Earth’s energy imbalance against surface temperature change13,14 are biased. Uncertainty in the magnitude of the feedback effects associated with the magnitude and geographic distribution of ocean heat uptake therefore contributes substantially to the uncertainty in allowable carbon emissions for a given multi-century warming target.

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Figure 1: Idealized carbon dioxide emission scenarios and global mean temperature responses.
Figure 2: Simulated changes in ocean heat uptake and radiative forcing.


  1. Allen, M. R. et al. Warming caused by cumulative carbon emissions towards the trillionth tonne. Nature 458, 1163–1166 (2009).

    Article  CAS  Google Scholar 

  2. Matthews, H. D. & Caldeira, K. Stabilizing climate requires near-zero emissions. Geophys. Res. Lett. 35, L04705 (2008).

    Article  Google Scholar 

  3. Plattner, G-K. et al. Long-term climate commitments projected with climate–carbon cycle models. J. Clim. 21, 2721–2751 (2008).

    Article  Google Scholar 

  4. Eby, M. et al. Lifetime of anthropogenic climate change: Millennial time-scales of potential CO2 and surface temperature perturbations. J. Clim. 22, 2501–2511 (2009).

    Article  Google Scholar 

  5. Frölicher, T. L. & Joos, F. Reversible and irreversible impacts of greenhouse gas emissions in multi-century projections with the NCAR global coupled carbon cycle-climate model. Clim. Dynam. 35, 1439–1459 (2010).

    Article  Google Scholar 

  6. Matthews, H. D., Gillet, N., Scott, P. A. & Zickfeld, K. The proportionality of global warming to cumulative carbon emissions. Nature 459, 829–832 (2009).

    Article  CAS  Google Scholar 

  7. Solomon, S., Plattner, G-K., Knutti, R. & Friedlingstein, P. Irreversible climate change due to carbon dioxide emissions. Proc. Natl Acad. Sci. USA 106, 1704–1709 (2009).

    Article  CAS  Google Scholar 

  8. Zickfeld, K., Eby, M., Matthews, H. D. & Weaver, A. J. Setting cumulative emissions targets to reduce the risk of dangerous climate change. Proc. Natl Acad. Sci. USA 106, 16129–16134 (2009).

    Article  CAS  Google Scholar 

  9. Gillet, N. P., Arora, V. K., Zickfeld, K., Marshal, S. J. & Merryfield, W. J. Ongoing climate change following a complete cessation of carbon dioxide emissions. Nature Geosci. 4, 83–87 (2011).

    Article  Google Scholar 

  10. Winton, M., Takahashi, K. & Held, I. M. Importance of ocean heat uptake efficacy to transient climate change. J. Clim. 23, 2333–2344 (2010).

    Article  Google Scholar 

  11. Armour, K. C., Bitz, C. M. & Roe, G. H. Time-varying climate sensitivity from regional feedbacks. J. Clim. 26, 4518–4534 (2013).

    Article  Google Scholar 

  12. Geoffroy, O. et al. Transient climate response in a two-layer energy-balance model. Part II: Representation of the efficacy of deep-ocean heat uptake and validation for CMIP5 AOGCMs. J. Clim. 26, 1859–1879 (2013).

    Article  Google Scholar 

  13. Gregory, J. M. et al. A new method for diagnosing radiative forcing and climate sensitivity. Geophys. Res. Lett. 31, L03205 (2004).

    Google Scholar 

  14. Andrews, T., Gregory, J. M., Webb, M. J. & Taylor, K. E. Forcing, feedbacks and climate sensitivity in CMIP5 coupled atmosphere-ocean climate models. Geophys. Res. Lett. 39, L09712 (2012).

    Google Scholar 

  15. Dunne, J. P. et al. GFDL’s ESM2 global coupled climate-carbon Earth system models. Part I: Physical formulation and baseline simulation characteristics. J. Clim. 25, 6646–6665 (2012).

    Article  Google Scholar 

  16. Dunne, J. P. et al. GFDL’s ESM2 global coupled climate-carbon Earth system models. Part II: Carbon system formulation and baseline simulation characteristics. J. Clim. 26, 2247–2267 (2013).

    Article  Google Scholar 

  17. Doney, S. C., Lindsay, K., Fung, I. & John, J. Natural variability in a stable 1000-yr global coupled climate-carbon cycle simulation. J. Clim. 19, 3033–3054 (2006).

    Article  Google Scholar 

  18. Frölicher, T. L., Joos, F., Plattner, G-K., Steinacher, M. & Doney, S. C. Natural variability and anthropogenic trends in oceanic oxygen in a coupled carbon cycle-climate model ensemble. Glob. Biogeochem. Cycle 23, GB1003 (2009).

    Article  Google Scholar 

  19. Hansen, J. et al. Efficacy of climate forcings. J. Geophys. Res. 110, D18104 (2005).

    Article  Google Scholar 

  20. Zelinka, M. D. & Hartmann, D. L. Climate feedbacks and their implications for poleward energy flux changes in a warming climate. J. Clim. 25, 608–624 (2012).

    Article  Google Scholar 

  21. Winton, M., Griffies, S. M., Samuels, B. L., Sarmiento, J. L. & Frölicher, T. L. Connecting changing ocean circulation with changing climate. J. Clim. 26, 2268–2278 (2013).

    Article  Google Scholar 

  22. Li, C., von Storch, J-S. & Marotzke, J. Deep-ocean heat uptake and equilibrium climate response. Clim. Dynam. 40, 1017–1086 (2013).

    Google Scholar 

  23. Delworth, T. L. et al. GFDL’s CM2 global coupled climate models. Part I: Formulation and simulation characteristics. J. Clim. 19, 643–674 (2006).

    Article  Google Scholar 

  24. Meehl, G. A. et al. Response of the NCAR climate system model to increased CO2 and the role of physical processes. J. Clim. 13, 1879–1898 (2000).

    Article  Google Scholar 

  25. Otto, A. et al. Energy budget constraints on climate response. Nature Geosci. 6, 415–416 (2013).

    Article  CAS  Google Scholar 

  26. Matthews, H. D., Solomon, S. & Pierrehumbert, R. Cumulative carbon as a policy framework for achieving climate stabilization. Phil. Trans. R. Soc. A 370, 4365–4379 (2012).

    Article  CAS  Google Scholar 

  27. Boden, T., Marland, G. & Andres, R. J. Global, Regional, and National Fossil-Fuel CO 2 Emissions (Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, US Department of Energy, 2011);

  28. Houghton, R. A. et al. Carbon emissions from land use and land-cover change. Biogeosciences 9, 5125–5142 (2012).

    Article  CAS  Google Scholar 

  29. Ramaswamy, V. et al. in IPCC Climate Change 2001: The Scientific Basis (ed. Houghton, H. T.) 349–416 (Cambridge Univ. Press, 2001).

    Google Scholar 

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We thank D. Paynter, T. Merlis, K. Rodgers, J. Dunne and N. Gruber for useful discussions and comments. We also thank B. L. Samuels for conducting the GFDL ESM2M simulations and R. Roth for help with the impulse response function calculations. Simulations with the NCAR CSM1 were carried out at the University of Bern, Switzerland. T.L.F. acknowledges financial support from the SNSF (Ambizione grant PZ00P2_142573). J.L.S. was supported by the Carbon Mitigation Initiative (CMI) project at Princeton University, sponsored by BP.

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T.L.F. and M.W. designed the study and undertook main analysis. T.L.F. performed simulations and wrote the paper, with significant text supplied by all authors, who also discussed the results.

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Correspondence to Thomas Lukas Frölicher.

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Frölicher, T., Winton, M. & Sarmiento, J. Continued global warming after CO2 emissions stoppage. Nature Clim Change 4, 40–44 (2014).

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