Skip to main content
Log in

Inference about trends in global temperature data

  • Published:
Climatic Change Aims and scope Submit manuscript

Abstract

Interpretation of the effects of increasing atmospheric carbon dioxide on temperature is made more difficult by the fact that it is unclear whether sufficient global warming has taken place to allow a statistically significant finding of any upward trend in the temperature series. We add to the few existing statistical results by reporting tests for both deterministic and stochastic non-stationarity (trends) in time series of global average temperature. We conclude that the statistical evidence is sufficient to reject the hypothesis of a stochastic trend; however, there is evidence of a trend which could be approximated by a deterministic linear model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Dickey, D. A. and Fuller, W. A.: 1979, ‘Distribution of the Estimators for Autoregressive Time Series with a Unit Root’, J. Amer. Statist. Assoc. 74, 427–431.

    Google Scholar 

  • Folland, C. K., Karl, T. R., and Vinnikov, K. Y. A.: 1990, ‘Observed Climate Variations and Change’, Chapter 7 in the Report of the Intergovernmental Panel on Climate Change, Climate Change: the IPCC Scientific Assessment, Cambridge University Press, Cambridge.

    Google Scholar 

  • Fuller, W. A.: 1976, Introduction to Statistical Time Series, John Wiley, New York.

    Google Scholar 

  • Gordon, A. H.: 1991, ‘Global Warming as a Manifestation of a Random Walk’, J. Climate 4, 589–597.

    Google Scholar 

  • Hansen, J. and Lebedeff, S.: 1987, ‘Global Trends of Measured Surface Air Temperature’, J. Geophys. Res. 92, D11, 13, 345–13, 372.

    Google Scholar 

  • Intergovernmental Panel on Climate Change: 1990, Climate Change: The IPCC Scientific Assessment, Cambridge University Press, Cambridge.

    Google Scholar 

  • Keeling, C. D., Bacastow, R. B., Carter, A. F., Piper, S. C., Whorf, T. P. Heimann, M., Mook, W. G., and Roeloffzen, H.: 1989, ‘A Three-Dimensional Model of Atmospheric CO2 Transport Based on Observed Winds: 1. Analysis of Observational Data’, in Peterson, P. H. (ed.), Aspects of Climate Variability in the Pacific and the Western Americas, American Geophysical Union, Washington D. C.

    Google Scholar 

  • Kuo, C., Lindberg, C., and Thomson, D. J.: 1990, ‘Coherence Established between Atmospheric Carbon Dioxide and Global Temperature’, Nature 343, 709–713.

    Google Scholar 

  • Phillips, P. C. B.: 1986, ‘Understanding Spurious Regressions in Econometrics’, J. Econometr. 33, 311–340.

    Google Scholar 

  • Phillips, P. C. B.: 1987a, ‘Time Series Regression with a Unit Root’, Econometrica 55, 277–301.

    Google Scholar 

  • Phillips, P. C. B.: 1987b, ‘Towards a Unified Asymptotic Theory of Autoregression’, Biometrika 74, 535–548.

    Google Scholar 

  • Said, S. E. and Dickey, D. A.: 1984, ‘Testing for Unit Roots in Autoregressive-Moving Average Models of Unknown Order’, Biometrika 71, 599–607.

    Google Scholar 

  • Solow, A. R.: 1987, ‘Testing for Climate Change: An Application of the Two-Phase Regression Model’, J. Clim. Appl. Meteorol. 26, 1401–1405.

    Google Scholar 

  • Solow, A. R. and Broadus, J. M.: 1989, ‘On the Detection of Greenhouse Warming’, Clim. Change 15, 449–453.

    Google Scholar 

  • Tsonis, A. A. and Elsner, J. B.: 1989, ‘Testing the Global Warming Hypothesis’, Geophys. Res. Letters 16, 795–797.

    Google Scholar 

  • Vinnikov, K. Ya., Groisman, P. Ya., and Lugina, K. M.: 1990, ‘Empirical Data on Contemporary Global Climate Changes (Temperature and Precipitation)’, J. Climate 4, 662–677.

    Google Scholar 

  • Wigley, T. M. L. and Barnett, T. P.: 1990, ‘Detection of the Greenhouse Effect in the Observations’, Chapter 8 in the Report of the Intergovernmental Panel on Climate Change, Climate Change: the IPCC Scientific Assessment, Cambridge University Press, Cambridge.

    Google Scholar 

  • Wigley, T. M. L. and Raper, S. C. B.: 1990, ‘Natural Variability of the Climate System and Detection of the Greenhouse Effect’, Nature 344, 324–327.

    Google Scholar 

  • Yule, G. U.: 1926, ‘Why do we Sometimes get Nonsense-Correlations Between Time Series? A Study in Sampling and the Nature of Time-Series’, J. Roy. Statist. Soc. 89, 1–64.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors are grateful to the SSHRC (Green) and FCAR (Galbraith) for financial support under grants 10-89-0205 and NC-0047.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Galbraith, J.W., Green, C. Inference about trends in global temperature data. Climatic Change 22, 209–221 (1992). https://doi.org/10.1007/BF00143028

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00143028

Keywords

Navigation