Increase of extreme events in a warming world

Edited by William C. Clark, Harvard University, Cambridge, MA, and approved September 27, 2011 (received for review February 2, 2011)
October 24, 2011
108 (44) 17905-17909

Abstract

We develop a theoretical approach to quantify the effect of long-term trends on the expected number of extremes in generic time series, using analytical solutions and Monte Carlo simulations. We apply our method to study the effect of warming trends on heat records. We find that the number of record-breaking events increases approximately in proportion to the ratio of warming trend to short-term standard deviation. Short-term variability thus decreases the number of heat extremes, whereas a climatic warming increases it. For extremes exceeding a predefined threshold, the dependence on the warming trend is highly nonlinear. We further find that the sum of warm plus cold extremes increases with any climate change, whether warming or cooling. We estimate that climatic warming has increased the number of new global-mean temperature records expected in the last decade from 0.1 to 2.8. For July temperature in Moscow, we estimate that the local warming trend has increased the number of records expected in the past decade fivefold, which implies an approximate 80% probability that the 2010 July heat record would not have occurred without climate warming.

Continue Reading

Acknowledgments.

We thank Mahé Perrette and Stijn Ruiter for statistical support, Ricarda Winkelmann for discussions about the analytical solutions, and Alex Robinson for discussions on Moscow station data. We thank four anonymous reviewers for their constructive remarks on an earlier version of this manuscript.

References

1
, Current extreme weather events. Weather Extremes in a Changing Climate: Hindsight on Foresight (World Meteorological Organization, GenevaAvailable at http://www.wmo.int/pages/mediacentre/news/extremeweathersequence_2010_en.html. Accessed October 5, 2011. (2010).
2
Weather Extremes in a Changing Climate: Hindsight on Foresight (World Meteorological Organization, GenevaWMO publication no. 1075. (2011).
3
J Hansen, R Ruedi, M Sato, K Lo, Global surface temperature change. Rev Geophys 48, RG4004 (2010).
4
, eds S Solomon, et al. (Cambridge Univ Press, Cambridge, UK The Fourth Assessment Report of the Intergovernmental Panel on Climate Change, 2007).
5
J Krug, Records in a changing world. J Stat Mech 7, 1–13 (2007).
6
N Glick, Breaking records and breaking boards. Am Math Mon 85, 2–26 (1978).
7
RE Benestad, How often can we expect a record event? Clim Res 25, 3–13 (2003).
8
GA Meehl, C Tebaldi, G Walton, D Easterling, L McDaniel, Relative increase of record high maximum temperatures compared to record low minimum temperatures in the US. Geophys Res Lett 36, 1–5 (2009).
9
B Trewin, H Vermont, Changes in the frequency of record temperatures in Australia, 1957–2009. Aust Meteorol Oceanogr J 60, 113–119 (2010).
10
R Katz, B Brown, Extreme events in a changing climate: Variability is more important than averages. Clim Change 21, 289–302 (1992).
11
R Ballerini, SI Resnick, Records in the presence of a linear trend. Adv Appl Probab 19, 801–828 (1987).
12
S Redner, M Petersen, On the role of global warming on the statistics of record-breaking temperatures. Phys Rev E Stat Nonlin Soft Matter Phys 74, 061114 (2006).
13
G Wergen, J Krug, Record-breaking temperatures reveal a warming climate. Europhys Lett 92, 30008 (2010).
14
M Mudelsee Climate Time Series Analysis (Springer, Dordrecht, The Netherlands, 2010).
15
CA Mears, FJ Wentz, Construction of the RSS V3.2 lower-tropospheric temperature dataset from the MSU and AMSU microwave sounders. J Atmos Ocean Tech 26, 1493–1509 (2009).
16
R Dole, et al., Was there a basis for anticipating the 2010 Russian heat wave? Geophys Res Lett 38, L06702 (2011).
17
J Franke, G Wergen, J Krug, Records and sequences of records from random variables with a linear trend. J Stat Mech 10, 1–22 (2010).
18
J Hansen, R Ruedy, J Glascoe, M Sato, GISS analysis of surface temperature change. J Geophys Res Atmos 104, 30997–31022 (1999).
19
DBD Barriopedro, EM Fischer, J Luterbacher, R Trigo, R Garcia-Herrera, The hot summer of 2010: Redrawing the temperature record map of Europe. Science 332, 220–224 (2011).
20
C Schär, et al., The role of increasing temperature variability in European summer heat waves. Nature 427, 332–336 (2004).
21
, GISS surface temperature analysis. Available at http://data.giss.nasa.gov/gistemp/. Accessed August 12, 2011. (2011).
22
JC Moore, A Grinsted, S Jevrejeva, New tools for analyzing time series relationships and trends. Eos Trans Am Geophys Union 86, 226–232 (2005).

Information & Authors

Information

Published in

Go to Proceedings of the National Academy of Sciences
Proceedings of the National Academy of Sciences
Vol. 108 | No. 44
November 1, 2011
PubMed: 22025683

Classifications

Submission history

Published online: October 24, 2011
Published in issue: November 1, 2011

Keywords

  1. global warming
  2. heat wave

Acknowledgments

We thank Mahé Perrette and Stijn Ruiter for statistical support, Ricarda Winkelmann for discussions about the analytical solutions, and Alex Robinson for discussions on Moscow station data. We thank four anonymous reviewers for their constructive remarks on an earlier version of this manuscript.

Notes

This article is a PNAS Direct Submission.

Authors

Affiliations

Stefan Rahmstorf1 [email protected]
Potsdam Institute for Climate Impact Research, PO Box 601203, 14412 Potsdam, Germany
Dim Coumou
Potsdam Institute for Climate Impact Research, PO Box 601203, 14412 Potsdam, Germany

Notes

1
To whom correspondence should be addressed. E-mail: [email protected].
Author contributions: S.R. designed research; S.R. and D.C. performed research; S.R. analyzed data; and S.R. and D.C. wrote the paper.

Competing Interests

The authors declare no conflict of interest.

Metrics & Citations

Metrics

Note: The article usage is presented with a three- to four-day delay and will update daily once available. Due to ths delay, usage data will not appear immediately following publication. Citation information is sourced from Crossref Cited-by service.


Citation statements

Altmetrics

Citations

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

    Loading...

    View Options

    View options

    PDF format

    Download this article as a PDF file

    DOWNLOAD PDF

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Personal login Institutional Login

    Recommend to a librarian

    Recommend PNAS to a Librarian

    Purchase options

    Purchase this article to access the full text.

    Single Article Purchase

    Increase of extreme events in a warming world
    Proceedings of the National Academy of Sciences
    • Vol. 108
    • No. 44
    • pp. 17857-18186

    Media

    Figures

    Tables

    Other

    Share

    Share

    Share article link

    Share on social media