Solar Physics

, Volume 257, Issue 2, pp 363–369 | Cite as

Evidence of 6 000-Year Periodicity in Reconstructed Sunspot Numbers

  • M. A. XapsosEmail author
  • E. A. Burke


Reconstructed sunspot data are available that extend solar activity back to 11 360 years before the present. We have examined these data using Hurst analysis, a moving average filter, and Fourier analysis. All of the procedures indicate the presence of a long term (≈6 000 year) cycle not previously reported. A number of shorter cycles formerly identified in the literature by using Fourier analysis, Bayes methods, and maximum entropy methods were also detected in the reconstructed sunspot data.


Solar activity, periodic Hurst analysis Smoothing filter Fourier analysis 


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  1. Beran, J.: 1998, Statistics for Long-Term Memory Processes, Chapman & Hall/CRC, London/Boca Raton. Google Scholar
  2. Damon, P.E., Sonett, C.P.: 1991, In: Sonett, C.P., Giampapa, M.S., Matthews, M.S. (eds.) The Sun in Time, University of Arizona Press, Tucson. Google Scholar
  3. Dergachev, V.A., 2004, In: Stepanov, A.V., Benevolenskaya, E.E., Kosovichev, A.G. (eds.) Multi-Wavelength Investigations of Solar Activity, IAU Symp. 223, 699. Google Scholar
  4. Fuller, W.A.: 1996, Introduction to Statistical Time Series, 2nd edn., Wiley, New York. zbMATHGoogle Scholar
  5. Grenader, U., Rosenblatt, M.: 1957, Statistical Analysis of Stationary Time Series, Wiley, New York. Google Scholar
  6. Hannan, E.J.: 1967, Time Series Analysis, Methuen, London. zbMATHGoogle Scholar
  7. Hurst, H.E.: 1951, Trans. Am. Soc. Civ. Eng. 116, 770. Google Scholar
  8. Hurst, H.E., Black, R.P., Simaika, Y.M.: 1965, Long Term Storage: An Experimental Study, Constable, London. Google Scholar
  9. Kendall, M.G., Stuart, A.: 1966, The Advanced Theory of Statistics, Vol. 3, Hafner, New York. Google Scholar
  10. Mayewski, P.A., Meeker, L.D., Twickler, M.S., Whitlow, S., Yang, Q., Lyons, W.B., Prentice, M.: 1997, J. Geophys. Res. 102, 26345. CrossRefADSGoogle Scholar
  11. Ruzmaikin, A., Feynman, J., Robinson, P.: 1994, Solar Phys. 149, 395. CrossRefADSGoogle Scholar
  12. Slutzky, E.: 1937, Econometrica 5, 105. CrossRefGoogle Scholar
  13. Solanki, S.K., Usoskin, I.G., Kromer, B., Schüssler, M., Beer, J.: 2004, Nature 431, 1084. CrossRefADSGoogle Scholar
  14. Vasiliev, S.S., Dergachev, V.A.: 2002, Ann. Geophys. 20, 115. ADSCrossRefGoogle Scholar
  15. Warner, R.M.: 1998, Spectral Analysis of Time-Series Data, Guilford, New York. Google Scholar
  16. Yule, G.U.: 1927, Philos. Trans. Roy. Soc. Lond. A 226, 267. CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.NASA Goddard Space Flight CenterGreenbeltUSA
  2. 2.ConsultantWoburnUSA

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