Abstract
The covariation of carbon dioxide (CO2) concentration and temperature in Antarctic ice-core records suggests a close link between CO2 and climate during the Pleistocene ice ages. The role and relative importance of CO2 in producing these climate changes remains unclear, however, in part because the ice-core deuterium record reflects local rather than global temperature. Here we construct a record of global surface temperature from 80 proxy records and show that temperature is correlated with and generally lags CO2 during the last (that is, the most recent) deglaciation. Differences between the respective temperature changes of the Northern Hemisphere and Southern Hemisphere parallel variations in the strength of the Atlantic meridional overturning circulation recorded in marine sediments. These observations, together with transient global climate model simulations, support the conclusion that an antiphased hemispheric temperature response to ocean circulation changes superimposed on globally in-phase warming driven by increasing CO2 concentrations is an explanation for much of the temperature change at the end of the most recent ice age.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
199,00 ⬠per year
only 3,90 ⬠per issue
Buy this article
- Purchase on SpringerLink
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout





Similar content being viewed by others
References
Hays, J. D., Imbrie, J. & Shackleton, N. J. Variations in the Earthâs orbit: pacemaker of the ice ages. Science 194, 1121â1132 (1976)
Delmas, R. J., Ascencio, J. M. & Legrand, M. Polar ice evidence that atmospheric CO2 20,000 yr BP was 50% of present. Nature 284, 155â157 (1980)
Neftel, A., Oeschger, H., Schwander, J., Stauffer, B. & Zumbrunn, R. Ice core sample measurements give atmospheric CO2 content during the past 40,000 yr. Nature 295, 220â223 (1982)
Lüthi, D. et al. High-resolution carbon dioxide concentration record 650,000â800,000 years before present. Nature 453, 379â382 (2008)
Shackleton, N. J. The 100,000 year ice-age cycle identified and found to lag temperature, carbon dioxide and orbital eccentricity. Science 289, 1897â1902 (2000)
Imbrie, J. et al. On the structure and origin of major glaciation cycles. 2. The 100,000-year cycle. Paleoceanography 8, 699â735 (1993)
Alley, R. B. & Clark, P. U. The deglaciation of the northern hemisphere: a global perspective. Annu. Rev. Earth Planet. Sci. 27, 149â182 (1999)
Toggweiler, J. R. & Lea, D. W. Temperature differences between the hemispheres and ice age climate variability. Paleoceanography 25, PA2212 (2010)
Weaver, A. J., Eby, M., Fanning, A. F. & Wiebe, E. C. Simulated influence of carbon dioxide, orbital forcing and ice sheets on the climate of the Last Glacial Maximum. Nature 394, 847â853 (1998)
Schneider von Deimling, T., Held, H., Ganopolski, A. & Rahmstorf, S. Climate sensitivity estimated from ensemble simulations of glacial climate. Clim. Dyn. 27, 149â163 (2006)
Mix, A. C., Ruddiman, W. F. & McIntyre, A. Late Quaternary paleoceanography of the tropical Atlantic, 1: spatial variability of annual mean sea-surface temperatures, 0â20,000 years B.P. Paleoceanography 1, 43â66 (1986)
Monnin, E. et al. Atmospheric CO2 concentrations over the last glacial termination. Science 291, 112â114 (2001)
Lemieux-Dudon, B. et al. Consistent dating for Antarctic and Greenland ice cores. Quat. Sci. Rev. 29, 8â20 (2010)
Fischer, H., Wahlen, M., Smith, J., Mastroianni, D. & Deck, B. Ice core records of atmospheric CO2 around the last three glacial terminations. Science 283, 1712â1714 (1999)
Hansen, J. et al. Climate response times: dependence on climate sensitivity and ocean mixing. Science 229, 857â859 (1985)
Manabe, S. & Broccoli, A. J. The influence of continental ice sheets on the climate of an ice age. J. Geophys. Res. 90, 2167â2190 (1985)
Broccoli, A. J. Tropical cooling at the Last Glacial Maximum: an atmosphere-mixed layer ocean model simulation. J. Clim. 13, 951â976 (2000)
Chiang, J. C. H. & Bitz, C. M. Influence of high latitude ice cover on the marine Intertropical Convergence Zone. Clim. Dyn. 25, 477â496 (2005)
Jansen, E. et al. in Climate Change 2007: The Physical Science Basis (eds Solomon, S. et al.) 433â497 (Cambridge Univ. Press, 2007)
Clark, P. U. et al. Global climate evolution during the last deglaciation. Proc. Natl Acad. Sci. USA advance online publication. 10.1073/pnas.1116619109 (13 February 2012)
Blunier, T. et al. Synchronization of ice core records via atmospheric gases. Clim. Past 3, 325â330 (2007)
Crowley, T. J. North Atlantic Deep Water cools the Southern Hemisphere. Paleoceanography 7, 489â497 (1992)
Stocker, T. F. & Johnsen, S. J. A minimum thermodynamic model for the bipolar seesaw. Paleoceanography 18, 1087 (2003)
McManus, J. F., Francois, R., Gherardi, J.-M., Keigwin, L. D. & Brown-Leger, S. Collapse and rapid resumption of Atlantic meridional circulation linked to deglacial climate changes. Nature 428, 834â837 (2004)
Liu, Z. et al. Transient simulation of last deglaciation with a new mechanism for Bølling-Allerød warming. Science 325, 310â314 (2009)
Clark, P. U. et al. The Last Glacial Maximum. Science 325, 710â714 (2009)
Schmittner, A. et al. Climate sensitivity estimated from temperature reconstructions of the Last Glacial Maximum. Science 334, 1385â1388 (2011)
Alley, R. B., Brook, E. J. & Anandakrishnan, S. A northern lead in the orbital band: north-south phasing of Ice-Age events. Quat. Sci. Rev. 21, 431â441 (2002)
Yokoyama, Y., Lambeck, K., De Deckker, P., Johnston, P. & Fifield, L. K. Timing of the Last Glacial Maximum from observed sea-level minima. Nature 406, 713â716 (2000)
Clark, P. U., McCabe, A. M., Mix, A. C. & Weaver, A. J. Rapid rise of sea level 19,000 years ago and its global implications. Science 304, 1141â1144 (2004)
Marchitto, T. M., Lehman, S. J., Ortiz, J. D., Fluckiger, J. & van Geen, A. Marine radiocarbon evidence for the mechanism of deglacial atmospheric CO2 rise. Science 316, 1456â1459 (2007)
Skinner, L. C., Fallon, S., Waelbroeck, C., Michel, E. & Barker, S. Ventilation of the deep Southern Ocean and deglacial CO2 rise. Science 328, 1147â1151 (2010)
Stephens, B. B. & Keeling, R. F. The influence of Antarctic sea ice on glacial-interglacial CO2 variations. Nature 404, 171â174 (2000)
Toggweiler, J. R., Russell, J. L. & Carson, S. R. Midlatitude westerlies, atmospheric CO2, and climate change during the ice ages. Paleoceanography 21, PA2005 (2006)
Schmittner, A. & Galbraith, E. D. Glacial greenhouse-gas fluctuations controlled by ocean circulation changes. Nature 456, 373â376 (2008)
Barker, S. et al. Interhemispheric Atlantic seesaw response during the last deglaciation. Nature 457, 1097â1102 (2009)
Schmittner, A., Saenko, O. & Weaver, A. J. Coupling of the hemispheres in observations and simulations of glacial climate change. Quat. Sci. Rev. 22, 659â671 (2003)
Anderson, R. F. et al. Wind-driven upwelling in the Southern Ocean and the deglacial rise in atmospheric CO2 . Science 323, 1443â1448 (2009)
Stott, L., Timmermann, A. & Thunell, R. Southern hemisphere and deep-sea warming led deglacial atmospheric CO2 rise and tropical warming. Science 318, 435â438 (2007)
Huybers, P. & Denton, G. Antarctic temperature at orbital timescales controlled by local summer duration. Nature Geosci. 1, 787â792 (2008)
Müller, P. J., Kirst, G., Ruhland, G., von Storch, I. & Rosell-Mele, A. Calibration of the alkenone paleotemperature index U37K' based on core-tops from the eastern South Atlantic and the global ocean (60°N-60°S). Geochim. Cosmochim. Acta 62, 1757â1772 (1998)
Pedro, J. B. et al. The last deglaciation: timing the bipolar seesaw. Clim. Past Discuss. 7, 397â430 (2011)
Dyke, A. S. in Quaternary Glaciations: Extent and Chronology Vol. 2b (eds Ehlers, J. & Gibbard, P. L. ) 373â424 (Elsevier, 2004)
Laskar, J. et al. A long term numerical solution for the insolation quantities of the Earth. Astron. Astrophys. 428, 261â285 (2004)
Cuffey, K. M. & Clow, G. D. Temperature, accumulation, and ice sheet elevation in central Greenland through the last deglacial transition. J. Geophys. Res. 102, 26383â26396 (1997)
Schneider, T. Analysis of incomplete climate data: estimation of mean values and covariance matrices and imputation of missing values. J. Clim. 14, 853â871 (2001)
Huybers, P. & Wunsch, C. A depth-derived Pleistocene age model: uncertainty estimates, sedimentation variability, and nonlinear climate change. Paleoceanography 19, PA1028 (2004)
Viau, A. E., Gajewski, K., Sawada, M. C. & Bunbury, J. Low- and high-frequency climate variability in eastern Beringia during the past 25 000 years. Can. J. Earth Sci. 45, 1435â1453 (2008)
Rasmussen, S. O. et al. Synchronization of the NGRIP, GRIP, and GISP2 ice cores across MIS 2 and palaeoclimatic implications. Quat. Sci. Rev. 27, 18â28 (2008)
Svensson, A. et al. A 60000 year Greenland stratigraphic ice core chronology. Clim. Past 4, 47â57 (2008)
Anand, P., Elderfield, H. & Conte, M. H. Calibration of Mg/Ca thermometry in planktonic foraminifera from a sediment trap time series. Paleoceanography 18, 1050 (2003)
Kim, J. H., Schouten, S., Hopmans, E. C., Donner, B. & Damste, J. S. S. Global sediment core-top calibration of the TEX86 paleothermometer in the ocean. Geochim. Cosmochim. Acta 72, 1154â1173 (2008)
Jouzel, J. et al. Magnitude of isotope/temperature scaling for interpretation of central Antarctic ice cores. J. Geophys. Res. 108, 4361 (2003)
von Storch, H. & Zwiers, F. W. Statistical Analysis in Climate Research 115 (Cambridge Univ. Press, 1999)
Acknowledgements
Discussions with numerous people, including E. J. Brook, A. E. Carlson, N. G. Pisias and J. Shaman, contributed to this research. We acknowledge the palaeoclimate community for generating the proxy data sets used here. In particular, we thank S. Barker, T. Barrows, E. Calvo, J. Kaiser, A. Koutavas, Y. Kubota, V. Peck, C. Pelejero, J.-R. Petit, J. Sachs, E. SchefuÃ, J. Tierney and G. Wei for providing proxy data, and R. Gyllencreutz and J. Mangerud for providing unpublished results of the DATED Project on the retreat history of the Eurasian ice sheets. The NOAA NGDC and PANGAEA databases were also essential to this work. This research used resources of the Oak Ridge Leadership Computing Facility, located in the National Center for Computational Sciences at Oak Ridge National Laboratory, which is supported by the Office of Science of the Department of Energy under contract no. DE-AC05-00OR22725. NCAR is sponsored by the NSF. J.D.S. is supported by a NOAA Climate and Global Change Postdoctoral Fellowship. This research was supported by the NSF Paleoclimate Program for the Paleovar Project through grant AGS-0602395.
Author information
Authors and Affiliations
Contributions
J.D.S. designed the study, synthesized and analysed data, and wrote the manuscript with P.U.C. F.H., Z.L. and B.O.-B. did the transient modelling. S.A.M. and A.C.M. contributed to data analysis. A.S. helped interpret AMOCâCO2 linkages. E.B. provided data and discussion on the radiocarbon calibration. All authors discussed the results and provided input on the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing financial interests.
Supplementary information
Supplementary Information
This file contains Supplementary Text and Data, Supplementary Figures 1-30, Supplementary Tables 1-3, additional References and Supplementary Appendices 1-2. (PDF 9474 kb)
Supplementary Data
This file contains Supplementary Data. (XLS 2499 kb)
Rights and permissions
About this article
Cite this article
Shakun, J., Clark, P., He, F. et al. Global warming preceded by increasing carbon dioxide concentrations during the last deglaciation. Nature 484, 49â54 (2012). https://doi.org/10.1038/nature10915
Received:
Accepted:
Published:
Issue date:
DOI: https://doi.org/10.1038/nature10915
This article is cited by
-
Intelligent Prediction of Annual CO2 Emissions Under Data Decomposition Mode
Computational Economics (2024)
-
Heterogenous westerly shifts linked to Atlantic meridional overturning circulation slowdowns
Communications Earth & Environment (2023)
-
A contracting Intertropical Convergence Zone during the Early Heinrich Stadial 1
Nature Communications (2023)
-
Pre-aged terrigenous organic carbon biases ocean ventilation-age reconstructions in the North Atlantic
Nature Communications (2023)
-
Southern Ocean glacial conditions and their influence on deglacial events
Nature Reviews Earth & Environment (2023)



Arno Arrak
When I read about "... potential physical explanations for the correlations between temperature, CO2 concentration and AMOC variability in three transient simulations of the last deglaciation..." I started wondering about the purpose of all this verbiage. Climate simulations as far as I go have been losers and I certainly can't check any of this stuff myself. After more unnecessary verbiage about "Uncertainty analysis" and "Robustnes of results" I realized it was meant to ease us into a belief that they have discovered something big: carbon dioxide did not follow but preceded end-Pleistocene warming. I never would have guessed it from their graphs. It is clear that this paper, as all others emanating from the climate establishment, takes it for granted that any observed warming is caused by the enhanced greenhouse effect of carbon dioxide and attempts to prove it. There is just this one problem with this assumption: the chief greenhouse gas on earth is not carbon dioxide but water vapor. They both absorb outgoing infrared (long-wave) radiation and it is their combined absorption of radiant energy that causes the atmosphere to get warm. But now consider this: when we don't change the amount of carbon dioxide in the air we have a stable climate. There are local temperature and humidity variations, to be sure, but long-term drift is absent. What guarantees this? To prevent a long term temperature drift the IR absorption by greenhouse gas concentration that determines IR transmittance of the atmosphere must respond to any such temperature drift. And water vapor is the only greenhouse gas that can easily do that. Starting from this qualitative picture Ferenc Miskolczi brought in radiation theory and showed that for a stable climate to exist the optical thickness of the atmosphere in the infrared had to have a value of 1.86 (15% transmittance). This transmittance is determined by the combined absorption of infrared radiation by all the greenhouse gases present, but the adjustment is maintained by water vapor, the only adjustable greenhouse gas in the lot. The blogosphere was hostile to the idea because it wiped out the sacrosanct Arrhenius law. But Miskolczi went on to test it using NOAA database of weather balloon observations that goes back to 1948. He found that the IR transmittance of the atmosphere had been constant for the previous 61 years as his theory predicted (E&E 21(4):243-262, 2010). During that same period of time the amount of carbon dioxide in air increased by 21.6 percent. This means that the addition of all this carbon dioxide to air had no effect whatsoever upon the absorption of IR by the atmosphere. And no absorption means no greenhouse effect, case closed. This is an empirical observation, not derived from any theory, and it overrides any theoretical calculations that do not agree with it. Specifically, it overrides any calculations based on climate models that use the greenhouse effect to predict warming. In accord with this, a close examination of the temperature history of the last 100 years reveals that there has been no greenhouse warming at all during this entire period. Starting with the twentieth century, the first part of the twentieth century warming started in 1910 and stopped in 1940. There was no corresponding increase of carbon dioxide at the beginning of this warming which means that according to the laws of physics it cannot be greenhouse warming. Bjorn Lomborg attributes this warming to solar influence and I agree with him. There was no warming in the fifties, sixties, and seventies while carbon dioxide relentlessly increased. There is no satisfactory explanation for this lack of warming, only various contorted excuses to explain it away. The true reason for this lack of warming is clear from Miskolczi's work. There was no warming in the eighties and nineties either according to the satellite temperature measurements. There was only a short spurt of warming between 1998 and 2002 caused by the warm water that the super El Nino of 1998 had carried across the ocean. And there was no warming from that point on to the present while carbon dioxide just kept on going up on its merry way. And if you still think Arctic warming proves the existence of greenhouse warming think again: Arctic warming is not greenhouse warming either and is caused by Atlantic Ocean currents carrying warm Gulf Stream water into the Arctic (E&E 22(8):1067-1083, 2011). Taking all this history and Miskolczi's theory into account the attempt of this Nature article to explain the end-Pleistocene warming as greenhouse warming is nothing more than hopelessly misguided global warming doctrine.
truc muche Replied to Arno Arrak
We are waiting for your publication ...
Pat Frank
Where is the physical theory that converts a proxy metric into a physical temperature? Statistics is not a substitute for physics. For more detail, see the extended discussion in Negligence, Non-science and Consensus Climatology.
Absent a valid and predictively falsifiable physical theory, all the temperature numbers in Shakun, et al., have no discrete physical meaning.
And absent any discrete physical meaning in the temperature numbers, there is no discrete physical meaning in the paper.
Regarding the climate model part of the paper,
Propagation of Error and the Reliability of Global Air Temperature Projections ... https://www.frontiersin.org...
... shows that climate models cannot detect, attribute, or predict the effect of small changes in CO2 forcing on the climate.
The message of this paper rests entirely on false precision.