Abstract
Using a dynamic power spectral analysis technique, the time-varying nature of solar periodicities is investigated for background X-ray flux, 10.7 cm flux, several indices to UV chromospheric flux, total solar irradiance, projected sunspot areas, and a sunspot blocking function. Many prior studies by a host of authors have differed over a wide range on solar periodicities. This investigation was designed to help resolve the differences by examining how periodicities change over time, and how the power spectra of solar data depend on the layer of the solar atmosphere. Using contour diagrams that show the percent of total power over time for periods ranging from 8 to 400 days, the transitory nature of solar periodicities is demonstrated, including periods at 12–14, 26–28, 51–52, and approximately 154 days. Results indicate that indices related to strong magnetic fields show the greatest variation in the number of periodicities, seldom persist for more than three solar rotations, and are highly variable in their frequency and amplitude. Periodicities found in the chromospheric indices are fewer, persist for up to 8–12 solar rotations, and are more stable in their frequency and amplitude. An additional result, found in all indices to varying degrees and related to the combined effects of solar rotation and active region evolution, is the fashion in which periodicities vary from about 20 to 36 days. I conclude that the solar data examined here are both quasi-periodic and quasistationary, with chromospheric indices showing the longest intervals of stationarity, and data representing strong magnetic fields showing the least stationarity. These results may have important implications to the results of linear statistical analysis techniques that assume stationarity, and in the interpretation of time series studies of solar variability.
Similar content being viewed by others
References
Bai, T.: 1987a, Astrophys. J. 318, L85.
Bai, T.: 1987b, Astrophys. J. 314, 795.
Bai, T. and Cliver, E. W.: 1990, Astrophys. J. 363, L299.
Barth, C. A., Tobiska, W. K., and Rottman, G. J.: 1990, Geophys. Res. Letters 17, 571.
Bath, M.: 1974, Spectral Analysis in Geophysics, Elsevier Sci., Amsterdam, p. 125.
Bloomfield, P.: 1976, Fourier Analysis of Time Series: An Introduction, John Wiley and Sons, New York, p. 84.
Bogart, R. S. and Bai, T.: 1985, Astrophys. J. 299, L51.
Bouwer, S. D.: 1983, J. Geophys. Res. 88, 7823.
Bouwer, S. D., Donnelly, R. F., and Pap, J.: 1990, in K. H. Schatten and A. Arking (eds.), Climate Impact of Solar Variability, NASA Conf. Publ. 3086, p. 125.
Bouwer, S. D., Donnelly, R. F., Falcon, J., Quintana, A., and Caldwell, G.: 1982, NOAA Tech. Memo ERL SEL-62, NOAA ERL, Boulder, Colorado.
Daubechies, I.: 1990, IEEE Trans, on Info, Theory 36, 961.
Dodson, H. W. and Hedeman, E. R.: 1970, Proceedings of Observations and Prediction of Solar Activity Conference, Am. Inst. of Aeronaut, and Astronaut., Huntsville, Alabama, p. 1368.
Donnelly, R. F.: 1987, Solar Phys. 109, 37.
Donnelly, R. F.: 1988, Ann. Geophys. 6, 417.
Donnelly, R. F.: 1989, in J. Laštovička (ed.), MAP Handbook 29, 1.
Donnelly, R. F.: 1992, in K. Cole et al. (eds.), J. Geomag. Geoelect. (in press).
Donnelly, R. F. and Puga, L. C.: 1990, Solar Phys. 130, 369.
Donnelly, R. F., Harvey, J. W., Heath, D. F., and Repoff, T. P.: 1985, J. Geophys. Res. 90, 6267.
Fröhlich, C. and Pap, J.: 1989, Astron. Astrophys. 220, 272.
Gabriel, S., Evans, R., and Feynman, J.: 1990, Solar Phys. 128, 415.
Harvey, J. W.: 1980 in S. Sofia (ed.), Variations of the Solar Constant, NASA Conf. Publ. 2191, p. 197.
Harvey, J. W.: 1984, in B. J. LaBonte et al., (eds.), Solar Irradiance Variations on Active Region Time Scales, NASA Conf. Publ. 2310, p. 197.
Heath, D. F. and Schlesinger B. M.: 1986, J. Geophys. Res. 91, 8672.
Heath, D. F., Repoff, T. P., and Donnelly, R. F.: 1984, NOAA Tech. Memo. ERL ARL-129, Air Resources Lab., NOAA ERL, Boulder, Colorado.
Hudson, H. S.: 1988, Ann. Rev. Astron. Astrophys. 26, 473.
Ichimoto, K., Kubota, F., Suzuki, M., Tohmura, L., and Kurokawa, H.: 1985, Nature 315, 422.
Karlický, M.: 1977, Bull. Astron. Inst. Czech. 28, 200.
Kile, J. N. and Cliver, E. W.: 1992, Astrophys. J. 370, 442.
Kiplinger, A. L., Dennis, B. R., and Orwig, L. E.: 1984, Bull. Ann. Astron. Soc. 16, 891.
Kotz, S. and Johnson, N. L. (eds.): 1983, Encyclopedia of Statistical Sciences, Vol. 3, John Wiley and Sons, New York, p. 118.
Koopmans, L. H.: 1974, The Spectral Analysis of Time Series, Academic Press, New York, p. 38.
Lean, J. L. and Brueckner, G. E.: 1989, Astrophys. J. 337, 568.
Lean, J. L. and Repoff, T. P.: 1987, J. Geophys. Res. 92, 5555.
Lean, J., White, O. R., Livingston, W. C., Heath, D. F., Donnelly, R. F., and Skumanich, A.: 1982, J. Geophys. Res. 87, 10,307.
Pap, J.: 1986, Astrophys. Space Sci. 127, 55.
Pap, J., Tobiska, W. K., and Bouwer, S. D.: 1990, Solar Phys. 129, 65.
Pap, J. M., Marquette, W. H., and Donnelly, R. F.: 1991, Adv. Space Res. 91, 11, 271.
Papoulis, A.: 1977, Signal Analysis, McGraw-Hill, New York, p. 300.
Ribes, E., Merlin, P., Ribes, J. C., and Barthalot, R.: 1989, Ann. Geophys. 7, 321.
Rieger, E., Shane, G. H., Forrest, D. K., Kanback, G., Reppin, C, and Chupp, E. L.: 1984, Nature 312, 623.
Tobiska, W. K. and Bouwer, S. D.: 1989, J. Geophys. Res. 16, 779.
Wagner, W. J.: 1988, Adv. Space Res. 8(7), 67.
Welsh, P. D.: 1967, IEEE Transactions on Audio and Electroacoustics AU-15, 70.
Willson, R. C. and Hudson, H. S.: 1988, Nature 332, 810.
Willson, R. C. and Hudson, H. S.: 1991, Nature 351, 92.
Wolf, C.: 1983, Astrophys. J. 264, 667.
Wolf, C.: 1984, Solar Phys. 93, 1.
Wolf, C.: 1987, Science 235, 1631.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bouwer, S.D. Periodicities of solar irradiance and solar activity indices, II. Sol Phys 142, 365–389 (1992). https://doi.org/10.1007/BF00151460
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00151460