A Simple Deconstruction of the HadCRU Global-Mean Near-Surface Temperature Observations

DOI: 10.4236/acs.2013.33036   PDF   HTML     3,505 Downloads   5,106 Views   Citations

Abstract

Previously we have used Singular Spectrum Analysis (SSA) to deconstruct the global-mean near-surface temperature observations of the Hadley Centre—Climate Research Unit that extend from 1850 through 2012. While SSA is a very powerful tool, it is rather like a statistical “black box” that gives little intuition about its results. Accordingly, here we use the simplest statistical tool to provide such intuition, the Simple Moving Average (SMA). Firstly we use a 21-year SMA. This reveals a nonlinear trend and an oscillation of about 60 years' length. Secondly we use a 61-year SMA on the raw observations. This yields a nonlinear trend. We subtract this trend from the raw observations and apply a 21-year SMA. This yields a Quasi-periodic Oscillation (QPO) with a period and amplitude of about 62.4 years and 0.11°C. This is the QPO we discovered in our 1994 Nature paper, which has come to be called the Atlantic Multidecadal Oscillation. We then subtract QPO-1 from the detrended observations and apply an 11-year SMA. This yields QPO-2 with a period and amplitude of about 21.0 years and 0.04°C. We subtract QPO-2 from the detrended observations minus QPO-1 and apply a 3-year SMA. This yields QPO-3 with a period and amplitude of about 9.1 years and 0.03°C. QPOs 1, 2 and 3 are sufficiently regular in period and amplitude that we fit them by sine waves, thereby yielding the above periods and amplitudes. We then subtract QPO-3 from the detrended observations minus QPOs 1 and 2. The result is too irregular in period and amplitude to be fit by a sine wave. Accordingly we represent this unpredictable part of the temperature observations by a Gaussian probability distribution (GPD) with a mean of zero and standard deviation of 0.08°C. The sum of QPOs 1, 2 and 3 plus the GPD can be used to project the natural variability of the global-mean near-surface temperature to add to, and be compared with, the continuing temperature trend caused predominantly by humanity’s continuing combustion of fossil fuels.

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M. Schlesinger, D. Lindner, M. Ring and E. Cross, "A Simple Deconstruction of the HadCRU Global-Mean Near-Surface Temperature Observations," Atmospheric and Climate Sciences, Vol. 3 No. 3, 2013, pp. 348-354. doi: 10.4236/acs.2013.33036.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] M. J. Ring, D. Lindner, E. F. Cross and M. E. Schlesinger, “Causes of the Global Warming Observed Since the 19th Century,” Atmospheric and Climate Sciences, Vol. 2, No. 3, 2012, pp. 401-415. doi:10.4236/acs.2012.24035
[2] M. E. Schlesinger, D. Lindner, M. J. Ring and E. F. Cross, “A Fair Plan to Safeguard Earth’s Climate. 3: Outlook for Global Temperature Change throughout the 21st Century,” Journal of Environmental Protection, Vol. 4, No. 6, 2013, pp. 653-664. doi:10.4236/jep.2013.46075
[3] C. P. Morice, J. J. Kennedy, N. A. Rayner and P. D. Jones, “Quantifying Uncertainties in Global and Regional Temperature Change Using an Ensemble of Observational Estimates: The HadCRUT4 Dataset,” Journal of Geophysical Research, Vol. 117, No. D8, 2012, pp. 1984-2012. doi:10.1029/2011JD017187
[4] T. M. Smith, R. W. Reynolds, T. C. Peterson and J. H. Lawrimore, “Improvements to NOAA’s Historical Merged Land-Ocean Surface Temperature Analysis,” Journal of Climate, Vol. 21, No. 10, 2008, pp. 2283-2296. doi:10.1175/2007JCLI2100.1
[5] J. Hansen, R. Ruedy, M. Sato and K. Lo, “Global Surface Temperature Change,” Reviews of Geophysics, Vol. 48, No. 4, 2010, Article ID: RG4004. doi:10.1029/2010RG000345
[6] K. Ishihara, “Calculation of Global Surface Temperature Anomalies with COBE-SST,” (Japanese) Weather Service Bulletin, Vol. 73, 2006, pp. S19-S25.
[7] K. Ishihara, “Estimation of Standard Errors in Global Average Surface Temperature,” (Japanese) Weather Service Bulletin, Vol. 74, 2007, pp. 19-26.
[8] S. W. Smith, “Moving Average Filters,” The Scientist and Engineer’s Guide to Digital Signal Processing, 1999, pp. 277-284.
[9] M. E. Schlesinger and N. Ramankutty, “An Oscillation in the Global Climate System of Period 65 -70 years,” Nature, Vol. 367, No. 6465, 1994, pp. 723-726.
[10] T. Delworth, S. Manabe, R. S. Stouffer, N. G. Andronova and M. E. Schlesinger, “Interdecadal Variations of the Thermohaline Circulation in a Coupled Ocean-Atmosphere Model,” Journal of Climate, Vol. 6, No. 11, 1993, pp. 1993-2011. doi:10.1175/1520-0442(1993)006<1993:IVOTTC>2.0.CO;2
[11] M. Ghil and R. Vautard, “Interdecadal Oscillations and the Warming Trend in the Global Temperature Time Series,” Nature, Vol. 350, No. 6316, 1991, pp. 324-327. doi:10.1038/350324a0
[12] D. Lindner, “Quasi-Periodic Oscillations in Observed and Simulated Temperatures and Implications for the Future,” Ph.D. Thesis, University of Illinois, Urbana-Champaign, 2013, 135p.
[13] N. G. Andronova and M. E. Schlesinger, “Causes of Temperature Changes during the 19th and 20th Centuries,” Geophysical Research Letters, Vol. 27, No. 14, 2000, pp. 2137-2140. doi:10.1029/2000GL006109

  
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