Abstract
Maximum Entropy Spectral Analysis of the annual mean surface temperature series for land masses and sea in the northern and southern hemispheres indicated long-term linear warming trends of (0.12 to 0.56) °C/century with superposed significant periods in the ranges T = 5–6 yr, 10–11 yr, 15 yr, 20 yr, 28–32 yr, and 55–80 yr. Extrapolation in future indicated for 2000–2030 a departure of (+0.4 °C) above the 1950–70 level. However, for the 1980s, the observed values are above the expected level, probably indicating large greenhouse effects due to human intervention. In that case, our predictions would be underestimates.
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References
Akaike, H.: 1969, ‘Fitting Autoregressive Models for Prediction’, Ann. Inst. Stat. Math. 21, 243–247.
Bevington, P. R.: 1969, Data Reduction and Error Analysis for the Physical Sciences, McGraw Hill Book Co. New York, pp. 164–176.
Blackman, R. B. and Tukey, J. W.: 1958, The Measurement of Power Spectra, Dover, New York.
Bradley, R. S., Kelly, P. M., Jones, P. D., Diaz, H. F., and Goodess, C.: 1985, A Climatic Data J. Bank for the Northern Hemisphere Land Areas 1851–1980, DoE Tech. Rep. No. TR 017, U.S. Dept. of Energy, Carbon Dioxide Research Division, Washington D.C., 335 pp.
Burg, J. P.: 1967, Maximum Entropy Spectral Analysis, Paper presented at the 37th Meeting, Soc. of Explor. Geophys., Oklahoma City, October.
Chen, W. Y. and Stegan, G. R.: 1974, ‘Experiments with Maximum Entropy Power Spectra of Sinusoids’, J. Geophys. Res. 79, 3019–3022.
Courtillot, V, Le Mouel, J. C., and Mayaud, P. N.: 1977, ‘Maximum Entropy Spectral Analysis of the Geomagnetic Activity Index over a 107 Year Interval’, J. Geophys. Res. 82, 2641–2649.
Currie, R. G.: 1973, ‘The 60 Year Spectral Line in Length of Days Fluctuations’, S. Afr. J. Sci. 69, 180–182.
Currie, R. G.: 1974, ‘Solar Cycle Signal in Surface Air Temperature’, J. Geophys. Res. 79, 5657–5660.
Currie, R. G.: 1976, ‘Long Period Magnetic Activity, 2 to 100 Years’, Astrophys. Space Sci. 39, 251–254.
Folland, C. K., Parker, D. E., and Kates, F. E.: 1984, ‘Worldwide Marine Temperature Fluctuations, 1856–1981’, Nature 310, 670–673.
Hansen, J. E., Johnson, D., Lacis, A., Lebedeff, S., Lee, P., Rind, D., and Russell, G.: 1981, ‘Climatic Impact of Increasing Atmospheric Carbon Dioxide’, Science 213, 957–966.
Hansen, J., Lacis, A., Rind, D., Russell, G., Fung, I., Ashcraft, P., Lebedeff, S., Ruedy, R., and Stone, P.: 1986, ‘The Greenhouse Effect: Projections of Global Climatic Change’, in Effects of Changes in Stratospheric Ozone and Global Climate, U.S. Environmental Protection Agency Publication Vol. 1: Overview, pp. 199–218.
Jenne, R.: 1975, Data Sets for Meteorological Research, NCAR-TN/JA-111, National Center for Atmospheric Research, Boulder, Colorado, U.S.A., 194 pp.
Johnston, J.: 1960, Econometric Methods, McGraw Hill Book Co., New York, pp. 134–135.
Jones, P. D., Wigley, T. M. L., and Kelly, P. M.: 1982, ‘Variations in Surface Air Temperatures: Part 1, Northern Hemisphere, 1881–1980’, Mon. Wea. Rev. 110, 59–72.
Jones, P. D., Raper, S. C. B., Sanler, B. D., Cherry, B. S. G., Goodess, C., Bradley, R. S., Diaz, H. F., Kelly, P. M., and Wigley, T. M. L.: 1985, A Grid Point Surface Air Temperature Data Set for the Northern Hemisphere 1851–1984, DoE Tech. Rep. No. TR 022, U.S. Dept. of Energy, Carbon Dioxide Research Division, Washington, D.C., 251 pp.
Jones, P. D., Raper, S. C. B., Bradley, R. S., Diaz, H. F., Kelly, P. M., and Wigley, T. M. L.: 1986a, ‘Northern Hemisphere Surface Air Temperature Variations: 1851–1984’, J. Climate Appl. Meteor. 25, 161–179.
Jones, P. D., Raper, S. C. B., and Wigley, T. M. L.: 1986b, ‘Southern Hemisphere Surface Air Temperature Variations: 1851–1984’, J. Climate Appl. Meteor. 25, 1213–1230.
Jones, P. D., Wigley, T. M. L., and Wright, P. B.: 1986c, ‘Global Temperature Variations between 1861 and 1984’, Nature 322, 430–434.
Jones, P. D., Wigley, T. M. L., Folland, C. K., Parker, D. E., Angell, J. K., Lebedeff, S., and Hansen, J. E.: 1988, ‘Evidence for Global Warming in the Past Decade’, Nature 332, 790.
Kane, R. P.: 1977, ‘Power Spectrum Analysis of Solar and Geophysical Parameters’, J. Geomeg. Geoelect. 29, 471–495.
Kane, R. P.: 1979, ‘Maximum Entropy Spectral Analysis of Some Artificial Samples’, J. Geophys. Res. 84, 965–966.
Kane, R. P.: 1986, ‘Power Spectrum Analysis of Geomgnetic Indices’, Proc. Ind. Acad. Sci. (Earth Planet. Sci) 95, 1–12.
Kane, R. P.: 1988, ‘Forecasting Geomagnetic Activity’, Pure and Appl. Geophys. 126, 85–101.
Kane, R. P. and Trivedi, N. B.: 1982, ‘Comparison of Maximum Entropy Spectral Analysis (MESA) and Least-Squares Linear Prediction (LSLP) Methods for Some Artificial Samples’, Geophysics 47, 1731–1736.
Kane, R. P. and Trivedi, N. B.: 1985, ‘Periodicities in Sunspot Numbers’, J. Geomag. Geoelect. 37, 1071–1075.
Kane, R. P. and Trivedi, N. B.: 1986, ‘Effects of Linear Trend and Mean Value on Maximum Entropy Spectral Analysis’, Proc. Ind. Acad. Sci. (Earth Planet Sci.) 95, 201–208.
Titus, J. G.: 1986, ‘The Causes and Effects of Sea Level Rise’, in Effects of Changes in Statospheric Ozone and Global Climate, U.S. Environmental Protection Agency Publication Vol. 1: Overview, pp. 218–248.
Ulrych, T. J. and Bishop, T. N.: 1975, ‘Maximum Entropy Spectral Analysis and Auto-Regressive Decomposition’, Rev. Geophys. Space Phys, 13, 183–200.
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Kane, R.P., Teixeira, N.R. Power spectrum analysis of the time-series of annual mean surface air temperatures. Climatic Change 17, 121–130 (1990). https://doi.org/10.1007/BF00149003
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DOI: https://doi.org/10.1007/BF00149003