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Reconstruction of Wolf Sunspot Numbers on the Basis of Spectral Characteristics and Estimates of Associated Radio Flux and Solar Wind Parameters for the Last Millennium

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Abstract

A reconstruction of sunspot numbers for the last 1000 years was obtained using a sum of sine waves derived from spectral analysis of the time series of sunspot number R z for the period 1700–1999. The time series was decomposed in frequency levels using the wavelet transform, and an iterative regression model (ARIST) was used to identify the amplitude and phase of the main periodicities. The 1000-year reconstructed sunspot number reproduces well the great maximums and minimums in solar activity, identified in cosmonuclides variation records, and, specifically, the epochs of the Oort, Wolf, Spörer, Maunder, and Dalton Minimums as well the Medieval and Modern Maximums. The average sunspot number activity in each anomalous period was used in linear equations to obtain estimates of the solar radio flux F 10.7, solar wind velocity, and the southward component of the interplanetary magnetic field.

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References

  • Baiada, E. and Merighi, R.: 1982, Solar Phys. 77, 357.

    Google Scholar 

  • Cliver, E. W., Boriakoff, V., and Bounar, K. H.: 1998, Geophys. Res. Lett. 2, 897.

    Google Scholar 

  • Cohen, T. J. and Lintz, P. R.: 1974, Nature 250, 398.

    Google Scholar 

  • Cole, T. W.: 1973, Solar Phys. 30, 103.

    Google Scholar 

  • Currie, R. G.: 1973, Astrophys. Space Sci. 20, 509.

    Google Scholar 

  • Damon, P. E. and Sonett, C. P.: 1991, in C. P. Sonett, M. S. Giampapa and M. S. Matthews (eds.), The Sun in Time, University of Arizona Press, Tucson, p. 360.

    Google Scholar 

  • Donahue, R. A. and Baliunas, S. L.: 1992, Solar Phys. 141, 181.

    Google Scholar 

  • Eddy, J. A.: 1976, Science 192, 1189.

    Google Scholar 

  • Eddy, J. A.: 1977, in O. R. White (ed.), The Solar Output and Its Variation, Colorado Associated University Press, Boulder, p. 51.

    Google Scholar 

  • Foukal, P. and Lean, J.: 1990, Science 247, 556.

    Google Scholar 

  • Friis-Christensen, E. and Lassen, K.: 1991, Science 254, 698.

    Google Scholar 

  • Haigh, J. D.: 1999, J. Atmospheric Solar-Terrest. Phys. 61, 63.

    Google Scholar 

  • 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 

  • Hoyt, D. V. and Schatten, K. H.: 1993, J. Geophys. Res. 98, 18895.

    Google Scholar 

  • Hoyt, D. V. and Schatten, K. H.: 1995a, Solar Phys. 160, 371.

    Google Scholar 

  • Hoyt, D. V. and Schatten, K. H.: 1995b, Solar Phys. 160, 379.

    Google Scholar 

  • Hoyt, D. V. and Schatten, K. H.: 1995c, Solar Phys. 160, 387.

    Google Scholar 

  • Hoyt, D. V. and Schatten, K. H.: 1995d, Solar Phys. 160, 393.

    Google Scholar 

  • Hoyt, D. V. and Schatten, K. H.: 1997, The Role of the Sun in Climate Change, Oxford University Press.

  • Hoyt, D. V. and Schatten, K. H.: 1998a, Solar Phys. 179, 189.

    Google Scholar 

  • Hoyt, D. V. and Schatten, K. H.: 1998b, Solar Phys. 181, 491.

    Google Scholar 

  • Jirikowick, J. and Damon, P. E.: 1994, Clim. Change 26, 309.

    Google Scholar 

  • Kane, R. P.: 1977, J. Geomag. Geoelectr. 29, 471.

    Google Scholar 

  • Kane, R. P.: 1999, Solar Phys. 189, 217.

    Google Scholar 

  • Kivelson, M. G. and Russell, C. T.: 1995, Introduction to Space Physics, Cambridge University Press, Cambridge.

    Google Scholar 

  • Kumar, P. and Foufoula-Georgiou, E.: 1997, Rev. Geophys. 35, 385.

    Google Scholar 

  • Lean, J. and Reid, G.: 1999, J. Atmospheric Solar-Terrest. Phys. 61, 25.

    Google Scholar 

  • Lean, J., Beer J., and Bradley, R.: 1995, Geophys. Res. Lett. 22, 3195.

    Google Scholar 

  • Mendoza, B.: 1997, Ann. Geophys. 15, 397.

    Google Scholar 

  • Meyer, F.: 1998, Solar Phys. 181, 201.

    Google Scholar 

  • Mitchell, J. M., Jr.: 1965, 'The Solar Inconstant', Proceedings Seminar on Possible Responses of Weather Phenomena to Variable Extra-Terrestrial Influences, NCAR Tech. Note TN-8, 155–174, Natl. Center for Atmospheric Research, Boulder, Colorado.

    Google Scholar 

  • Nordemann, D. J. R.: 1992, Solar Phys. 141, 199.

    Google Scholar 

  • Nordemann, D. J. R. and Trivedi, N. B.: 1992, Solar Phys. 142, 411.

    Google Scholar 

  • Percival, D. B. and Walden, A. T.: 2000, Wavelet Methods for Time Series Analysis, Cambridge University Press, Cambridge.

    Google Scholar 

  • Raisbeck, G. M., Yiou, F., Jouzel, J., and Petit, J. R.: 1990, Phil. Trans. Roy. Soc. London 330, 463.

    Google Scholar 

  • Radoski, H. R., Fougere, P. F., and Zawalik, E. J.: 1975, J. Geophys. Res. 80, 619.

    Google Scholar 

  • Reid, G. C.: 1997, Clim. Change 37, 391.

    Google Scholar 

  • Rigozo, N. R. and Nordemann, D. J. R.: 1998, Rev. Bras. Geofis. 16, 151.

    Google Scholar 

  • Schove, D. J.: 1983, Sunspot Cycles, Hutchinson Ross Publishing Company, Stroudsburg, Pennsylvania.

    Google Scholar 

  • Silverman, S. M.: 1986, J. Geophys. Res. 91, 10157

    Google Scholar 

  • Smith, E. J.: 1991, in C. P. Sonnett, M.S. Giampapa, and M.S. Matthews (eds.), The Sun in Time, University of Arizona Press, Tucson, p. 175.

    Google Scholar 

  • Solanki, S. K. and Fligge, M.: 1999, Geophys. Res. Lett. 26, 2465.

    Google Scholar 

  • Stuiver, M. and Quay, P. D.: 1980, Science 207, 11.

    Google Scholar 

  • Stuiver, M. and Pearson, G. W.: 1986, Radiocarbon 28, 805.

    Google Scholar 

  • Suess, S. T.: 1979, Planetary Space Sci. 27, 1001.

    Google Scholar 

  • Tapping, K. F.: 1987, J. Geophys. Res. 92, 829.

    Google Scholar 

  • Weng, H. and Lau, K.-M.: 1994, J. Atmospheric Sci. 20, 2523.

    Google Scholar 

  • Wilson, R. M.: 1998a, J. Geophys. Res. 103, 11159.

    Google Scholar 

  • Wilson, R. M.: 1998b, Solar Phys. 182, 217.

    Google Scholar 

  • Wilson, R. M., Rabin, D., and Moore, R. L.: 1987, Solar Phys. 111, 279.

    Google Scholar 

  • Wolberg, J. R.: 1967, Prediction Analysis, D. Van Nostrand Company, New York.

    Google Scholar 

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Rigozo, N., Echer, E., Vieira, L. et al. Reconstruction of Wolf Sunspot Numbers on the Basis of Spectral Characteristics and Estimates of Associated Radio Flux and Solar Wind Parameters for the Last Millennium. Solar Physics 203, 179–191 (2001). https://doi.org/10.1023/A:1012745612022

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