Solar Physics

, Volume 223, Issue 1–2, pp 305–318 | Cite as

A comparison of the spectral characteristics of the Wolf Sunspot Number (RZ) and Group Sunspot Number (RG)

  • H. H. Faria
  • E. Echer
  • N. R. Rigozo
  • L. E. A. Vieira
  • D. J. R. Nordemann
  • A. Prestes
Article

Abstract

The objective of this paper is to compare the spectral features of the recently derived Group Sunspot Numbers (RG) and the traditional Wolf Sunspot Numbers (RZ) for the 1700–1995 period. In order to study the spectral features of both time series, two methods were used, including: (a) the multitaper analysis and (b) the wavelet analysis. Well-known features of the solar variability, such as the 98.6-yr (Gleissberg cycle), 10–11-yr (Schwabe cycle) and 5-yr (second solar harmonic) periodicities were identified with high confidence using the multitaper analysis. Also observed was a larger amount of power spread in high frequencies for RZ than for RG spectra. Furthermore, a multitaper analysis of two subsets, A (1700–1850) and B (1851–1995), has indicated that the main differences occurred in the first subset and seem to be due to uncertainties in the early observations. The wavelet transform, which allows observing the spectra evolution of both series, showed a strong and persistent 10–11-yr signal that remained during the whole period. The Meyer Wavelet Transform was applied to both RZ and RG. This study indicates that the main spectral characteristics of both series are similar and that their long-term variability has the same behavior.

Keywords

Spectral Characteristic Wavelet Analysis High Confidence Wavelet Transform Sunspot Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Baiada, E. and Merighi, R.: 1982, Solar Phys. 77, 357.CrossRefGoogle Scholar
  2. Bray, R. J. and Loughhead, R. E.: 1964, Sunspots, Chapman and Hall LTD, London.Google Scholar
  3. Cliver, E. W., Boriakoff, V., and Bounar, K. H.: 1998, Geophys. Res. Lett. 2, 897.CrossRefGoogle Scholar
  4. Clúa de Gonzalez, A. L., Gonzalez, W. D., Dutra, S. L. G., and Tsurutani, B. T.: 1993, J. Geophys. Res. 98, 9215.Google Scholar
  5. Currie, R. G.: 1973, Astrophys. Space Sci. 20, 509.CrossRefGoogle Scholar
  6. Donahue, R. A. and Baliunas, S. L.: 1992, Solar Phys. 141, 181.CrossRefGoogle Scholar
  7. Eddy, J. A.: 1976, Science 192, 1189.Google Scholar
  8. Eddy, J. A.: 1977, in: O. R. White (ed.), The Solar Output and Its Variation, Colorado Associated University Press, Boulder.Google Scholar
  9. Foukal, P.: 1990, Sci. Amer. 262, 34.Google Scholar
  10. Frick, P., Galyagin, D., Hoyt, D. V., Nesme-Ribes, E., Schatten, K. H., Sokoloff, D., and Zakhorov, V.: 1997, Astron. Astrophys. 328, 670.Google Scholar
  11. Friis-Christensen, E. and Lassen, K.: 1991, Science 254, 698.Google Scholar
  12. Hathaway, D. H., Wilson, R. M., and Reichmann, E. J.: 2002, Solar Phys. 211, 357.CrossRefGoogle Scholar
  13. Herman, J. R. and Goldberg, R. A.: 1978, Sun, Weather and Climate, Scientific and Technical Information Branch, National Aeronautics and Space Administration, Washington, D.C.Google Scholar
  14. Hoyt, D. V. and Schatten, K. H.: 1993, J. Geophys. Res. 98, 18895.Google Scholar
  15. Hoyt, D. V. and Schatten, K. H.: 1995a, Solar Phys. 160, 371.CrossRefGoogle Scholar
  16. Hoyt, D. V. and Schatten, K. H.: 1995b, Solar Phys. 160, 379.CrossRefGoogle Scholar
  17. Hoyt, D. V. and Schatten, K. H.: 1995c, Solar Phys. 160, 387.CrossRefGoogle Scholar
  18. Hoyt, D. V. and Schatten, K. H.: 1995d, Solar Phys. 160, 393.CrossRefGoogle Scholar
  19. Hoyt, D. V. and Schatten, K. H.: 1997, The Role of the Sun in Climate Change, Oxford Press, Oxford, p. 279.Google Scholar
  20. Hoyt, D. V. and Schatten, K. H.: 1998a, Solar Phys. 179, 189.CrossRefGoogle Scholar
  21. Hoyt, D. V. and Schatten, K. H.: 1998b, Solar Phys. 181, 491.CrossRefGoogle Scholar
  22. Jenkins, G. M. and Watts, D. G.: 1968, Spectral Analysis and Its Applications, Holden Day, Oakland, California.Google Scholar
  23. Kane, R. P.: 1977, J. Geomag. Geoeletr. 29, 471.Google Scholar
  24. Kane, R. P.: 1999, Solar Phys. 189, 217.CrossRefGoogle Scholar
  25. Kane, R. P.: 2002, Solar Phys. 205, 383.CrossRefGoogle Scholar
  26. Kivelson, M. G. and Russell, C. T.: 1995, Introduction to Space Physics, Cambridge University Press, Cambridge.Google Scholar
  27. Kumar, P. and Foufoula-Georgiou, E.: 1997, Rev. Geophys. 35, 385.CrossRefGoogle Scholar
  28. Lean, J., Beer, J., and Bradley, R.: 1995, Geophys. Res. Lett. 22, 3195.CrossRefGoogle Scholar
  29. Mendoza, B.: 1997, Ann. Geophys. 15, 397.Google Scholar
  30. Meyer, F.: 1998, Solar Phys. 181, 201.CrossRefGoogle Scholar
  31. Newkirk, G. Jr. and Frazier, K.: 1982, Phys. Today 35, 25.Google Scholar
  32. Nordemann, D. J. R.: 1992, Solar Phys. 141, 199.CrossRefGoogle Scholar
  33. Nordemann, D. J. R. and Trivedi, N. B.: 1992, Solar Phys. 142, 411.CrossRefGoogle Scholar
  34. Parks, D. E., Jones, P. D., Folland, C. K., and Bevan, A.: 1994, J. Geophys. Res. 90, 14373.CrossRefGoogle Scholar
  35. Percival, D. B. and Walden, A. T.: 2000, Wavelet Methods for Time Series Analysis, Cambridge University Press, Cambridge.Google Scholar
  36. Radoski, H. R., Fougere, P. F., and Zawalik, E. J.: 1975, J. Geophys. Res. 80, 619.Google Scholar
  37. Rigozo, N. R. and Nordemann, D. J. R.: 1998, Revista Bras. Geof. 16, 149.Google Scholar
  38. Rigozo, N. R., Echer, E., Vieira, L. E. A., and Nordemann, D. J. R.: 2001, Solar Phys. 203, 179.CrossRefGoogle Scholar
  39. Schove, D. J.: 1983, Sunspot Cycles, Hutchinson Ross Publishing Company, Stroudsburg, Pennsylvania.Google Scholar
  40. Silverman, S. M.: 1986, J. Geophys. Res. 91, 10157.Google Scholar
  41. Solanki, S. K. and Fligge, M.: 1999, Geophys. Res. Lett. 26, 2465.CrossRefGoogle Scholar
  42. Thomson, D. J.: 1982, Proc. IEEE 70, 1055.Google Scholar
  43. Thomson, D. J.: 1990, Phil. Trans. R. Soc. London A 332, 539.MathSciNetGoogle Scholar
  44. Torrence, C. and Compto, G. P.: 1998, Bull. Am. Meteorol. Soc. 79, 61.CrossRefGoogle Scholar
  45. Wilson, R. M.: 1998, Solar Phys. 182, 217.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • H. H. Faria
    • 1
  • E. Echer
    • 2
  • N. R. Rigozo
    • 3
  • L. E. A. Vieira
    • 4
  • D. J. R. Nordemann
    • 4
  • A. Prestes
    • 4
  1. 1.Instituto Nacional de Pesquisas Espaciais, INPESão José dos CamposBrazil
  2. 2.Instituto Nacional de Pesquisas Espaciais, INPESão José dos CamposBrazil
  3. 3.Instituto Nacional de Pesquisas Espaciais, INPESão José dos CamposBrazil
  4. 4.Instituto Nacional de Pesquisas Espaciais, INPESão José dos CamposBrazil

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