Abstract
The warming of the climate system is unequivocal as evidenced by an increase in global temperatures by 0.8 °C over the past century. However, the attribution of the observed warming to human activities remains less clear, particularly because of the apparent slow-down in warming since the late 1990s. Here we analyse radiative forcing and temperature time series with state-of-the-art statistical methods to address this question without climate model simulations. We show that long-term trends in total radiative forcing and temperatures have largely been determined by atmospheric greenhouse gas concentrations, and modulated by other radiative factors. We identify a pronounced increase in the growth rates of both temperatures and radiative forcing around 1960, which marks the onset of sustained global warming. Our analyses also reveal a contribution of human interventions to two periods when global warming slowed down. Our statistical analysis suggests that the reduction in the emissions of ozone-depleting substances under the Montreal Protocol, as well as a reduction in methane emissions, contributed to the lower rate of warming since the 1990s. Furthermore, we identify a contribution from the two world wars and the Great Depression to the documented cooling in the mid-twentieth century, through lower carbon dioxide emissions. We conclude that reductions in greenhouse gas emissions are effective in slowing the rate of warming in the short term.
This is a preview of subscription content, access via your institution
Relevant articles
Open Access articles citing this article.
-
Anthropogenic influence on extremes and risk hotspots
Scientific Reports Open Access 02 January 2023
-
Does a Carbon Tax Reduce CO2 Emissions? Evidence from British Columbia
Environmental and Resource Economics Open Access 13 April 2022
-
Anthropogenic influence in observed regional warming trends and the implied social time of emergence
Communications Earth & Environment Open Access 12 February 2021
Access options
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Rent or buy this article
Prices vary by article type
from$1.95
to$39.95
Prices may be subject to local taxes which are calculated during checkout





References
Hasselmann, K. Multi-pattern fingerprint method for detection and attribution of climate change. Clim. Dyn. 13, 601–611 (1997).
Kaufmann, R. K. & Stern, D. I. Evidence for human influence on climate from hemispheric temperature relations. Nature 388, 39–44 (1997).
Gay, C., Estrada, F. & Sánchez, A. Global and hemispheric temperature revisited. Clim. Change 94, 333–349 (2009).
Estrada, F., Gay, C. & Sánchez, A. A reply to ‘Does temperature contain a stochastic trend? Evaluating conflicting statistical results’. Clim. Change 101, 407–414 (2010).
Perron, P. The great crash, the oil price shock, and the unit root hypothesis. Econometrica 57, 1361–1401 (1989).
Kim, D. & Perron, P. Unit root tests allowing for a break in the trend function under both the null and the alternative hypotheses. J. Econom. 148, 1–13 (2009).
Perron, P. & Yabu, T. Testing for shifts in trend with an integrated or stationary noise component. JBES 27, 369–396 (2009).
Kejriwal, M. & Perron, P. A sequential procedure to determine the number of breaks in trend with an integrated or stationary noise component. J. Time Ser. Anal. 31, 305–328 (2010).
Bierens, H. J. Nonparametric nonlinear cotrending analysis, with an application to interest and inflation in the United States. JBES 18, 323–337 (2000).
Wu, Z., Huang, N. E., Wallace, J. M., Smoliak, B. V. & Chen, X. On the time-varying trend in global-mean surface temperature. Clim. Dyn. 37, 759–773 (2011).
Swanson, K. L., Sugihara, G. & Tsonis, A. A. Long-term natural variability and the twentieth century climate change. Proc. Natl Acad. Sci. USA 106, 16120–16123 (2009).
Knudsen, M. F., Seidenkrantz, M. S., Jacobsen, B. H. & Kuijpers, A. Tracking the Atlantic Multidecadal Oscillation through the last 8,000 years. Nature Comm. 2, 178 (2011).
IPCC Climate Change 2007: The Physical Science Basis. Solomon, S. et al. (eds), 996 (Cambridge Univ. Press, 2007).
Estrada, F., Perron, P., Gay, C. & Martı´nez, B. A time series analysis of the twentieth century climate simulations produced for the IPCC’s AR4. PLoS ONE 8, e60017 (2013).
Perron, P. & Zhu, X. Structural breaks with deterministic and stochastic trends. J. Econom. 129, 65–119 (2005).
Meehl, G. A., Washington, W. M., Wigley, T. M. L., Arblaster, J. M. & Dai, A. Solar and greenhouse gas forcing and climate response in the twentieth century. J. Clim. 16, 426–444 (2003).
Hansen, J. & Sato, M. Greenhouse gas growth rates. Proc. Natl Acad. Sci. USA 101, 16109–16114 (2004).
Schwartz, S. E. Determination of Earth’s transient and equilibrium climate sensitivities from observations over the twentieth century: strong dependence on assumed forcing. Surv. Geophys. 33, 745–777 (2012).
Gregory, J. M. & Forster, P. M. Transient climate response estimated from radiative forcing and observed temperature change. J. Geophys. Res. 113, D23105 (2008).
Beenstock, M., Reingewertz, Y. & Paldor, N.. Polynomial cointegration tests of anthropogenic impact on global warming. ESD 3, 173–188 (2012).
Kaufmann, R.K., Kauppi, H. & Stock, J. H. Emissions, concentrations, & temperature: a time series analysis. Clim. Change 77, 249–278 (2009).
Kaufmann, R. K., Kauppi, H., Mann, M. L. & Stock, J. H. Reconciling anthropogenic climate change with observed temperature 1998–2008. Proc. Natl Acad. Sci. USA 108, 11790–11793 (2011).
Perron, P. Testing for a unit root in a time series with a changing mean. JBES 8, 153–162 (1990).
Hansen, J. & Lebedeff, S. Global trends of measured surface air temperature. J. Geophys. Res. 92, 13345–13372 (1987).
Jones, P. D., Raper, S. C. B., Bradley, R. S., Diaz, H. F., Kelly, P. M. & Wigley, T. M. L. Northern Hemisphere surface air temperature variations: 1851–1984. J. Clim. App. Meteorol. 25, 161–179 (1986).
Jones, P. D., Raper, S. C. B. & Wigley, T. M. L. Southern Hemisphere surface air temperature variations: 1851–1984. J. Clim. App. Meteorol. 25, 1213–1230 (1986).
Jones, P. D., Wigley, T. M. L. & Wright, P. B. Global temperature variations between 1861 and 1984. Nature 322, 430–434 (1986).
Thompson, D. W. J., Kennedy, J. J., Wallace, J. M. & Jones, P. D. A large discontinuity in the mid-twentieth century in observed global mean surface temperature. Nature 453, 646–649 (2008).
Andres, R. J., Fielding, D. J., Marland, G., Boden, T. A. & Kumar, N. Carbon dioxide emissions from fossil-fuel use, 1751–1950. Tellus 51B, 759–765 (1999).
Hansen, J.E. & Sato, M. Trends of measured climate forcing agents. Proc. Natl Acad. Sci. USA 98, 14778–14783 (2001).
Velders, G. J. M. et al. The importance of the Montreal Protocol in protecting climate. Proc. Natl Acad. Sci. USA 104, 4814–19 (2007).
Kai, F. U., Tyler, S. C., Randerson, J. T. & Blake, D. R. Reduced methane growth rate explained by decreased Northern Hemisphere microbial sources. Nature 476, 194–197 (2011).
Hansen, J., Sato, M., Kharecha, P. & von Schuckmann, K. Earth’s energy imbalance and implications. Atmos. Chem. Phys. 11, 27031–27105 (2011).
Hansen, J., Sato, M., Lacis, A., Ruedy, R., Tegen, I. & Matthews, E. Perspective: Climate forcings in the industrial era. Proc. Natl Acad. Sci. USA 95, 12753–12758 (1998).
Acknowledgements
F.E. acknowledges financial support from the Consejo Nacional de Ciencia y Tecnologı´a (http://www.conacyt.gob.mx) under grant CONACYT-310026, as well as from PASPA DGAPA of the Universidad Nacional Autónoma de México.
Author information
Authors and Affiliations
Contributions
F.E. and P.P. contributed equally to the conceptual design, the data analysis and the writing of this manuscript. B.M.L. contributed to the conceptual design and data analysis.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing financial interests.
Supplementary information
Supplementary Information
Supplementary Information (PDF 1257 kb)
Rights and permissions
About this article
Cite this article
Estrada, F., Perron, P. & Martínez-López, B. Statistically derived contributions of diverse human influences to twentieth-century temperature changes. Nature Geosci 6, 1050–1055 (2013). https://doi.org/10.1038/ngeo1999
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/ngeo1999
This article is cited by
-
Anthropogenic influence on extremes and risk hotspots
Scientific Reports (2023)
-
An empirical estimate for the snow albedo feedback effect
Climatic Change (2023)
-
Attributing agnostically detected large reductions in road CO2 emissions to policy mixes
Nature Energy (2022)
-
Does a Carbon Tax Reduce CO2 Emissions? Evidence from British Columbia
Environmental and Resource Economics (2022)
-
Spatial variations in the warming trend and the transition to more severe weather in midlatitudes
Scientific Reports (2021)