Advertisement

Astrophysics and Space Science

, Volume 326, Issue 2, pp 181–189 | Cite as

Edge adapted wavelets, solar magnetic activity, and climate change

  • R. W. JohnsonEmail author
Original Article

Abstract

The continuous wavelet transform is adapted to account for signal truncation through renormalization and by modifying the shape of the analyzing window. Comparison is made of the instant, integrated, and mean wavelet power with previous algorithms. The edge adapted and renormalized admissible wavelet transforms are used to estimate the level of solar magnetic activity from the sunspot record. The solar activity is compared to Oerlemans’ temperature reconstruction and to the Central England Temperature record. A correlation is seen for years between 1610 and 1990, followed by a strong deviation as the recently observed temperature increases.

Wavelet Sunspot Solar activity Climate change 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barnston, A.G., Livezey, R.E.: J. Clim. 2, 1295 (1989) CrossRefADSGoogle Scholar
  2. Bracewell, R.N.: Nature 171, 649 (1953) CrossRefADSGoogle Scholar
  3. Bracewell, R.N.: Mon. Not. R. Astr. Soc. 230, 535 (1988) ADSGoogle Scholar
  4. Buck, B., Macaulay, V.A.: In: Ericson, G., Neudorfer, P., Smith, C.R. (eds.) Maximum Entropy and Bayesian Methods, Seattle 1991, p. 241. Kluwer, Dordrecht (1992) Google Scholar
  5. Buck, B., Macaulay, V.A.: In: Mohammad-Djafari, A., Demoments, G. (eds.) Maximum Entropy and Bayesian Methods, Paris 1992, p. 345. Kluwer, Dordrecht (1993) Google Scholar
  6. Echer, M.P.S., Echer, E., Nordemann, D.J., Rigozo, N.R., Prestes, A.: Clim. Change 87(3), 489 (2008). doi: 10.1007/s10584-007-9296-6 CrossRefGoogle Scholar
  7. Echer, M.P.S., Echer, E., Nordemann, D.J.R., Rigozo, N.R.: J. Atmos. Sol.-Terr. Phys. 71(1), 41 (2009). doi: 10.1016/j.jastp.2008.09.032 CrossRefGoogle Scholar
  8. Fligge, M., Solanki, S.K., Beer, J.: Astron. Astrophys. 346, 313 (1999) ADSGoogle Scholar
  9. Foster, G.: Astron. J. 112(4), 1709 (1996) CrossRefADSGoogle Scholar
  10. Frick, P., Galyagin, D., Hoyt, D.V., Nesme-Ribes, E., Schatten, K.H., Sokoloff, D., Zakharov, V.: Astron. Astrophys. 328, 670 (1997a) ADSGoogle Scholar
  11. Frick, P., Baliunas, S., Galyagin, D., Sokoloff, D., Soon, W.: Astrophys. J. 483, 426 (1997b) CrossRefADSGoogle Scholar
  12. Goupillaud, P., Grossman, A., Morlet, J.: Geoexploration 23, 85 (1984) CrossRefGoogle Scholar
  13. Hameed, S., Lee, J.N.: Geophys. Res. Lett. 32, 23817 (2005). doi: 10.1029/2005GL024393 CrossRefADSGoogle Scholar
  14. Hathaway, D.H., Wilson, R.M., Reichmann, E.J.: Sol. Phys. 211, 357 (2002) CrossRefADSGoogle Scholar
  15. Hoyt, D.V., Schatten, K.H.: Sol. Phys. 181, 491 (1998) CrossRefADSGoogle Scholar
  16. Johnson, R.W.: Phys. Rev. D 76(7), 074502 (2007). doi: 10.1103/PhysRevD.76.074502 ADSGoogle Scholar
  17. Johnson, R.W.: J. Geophys. Res. 114, A05105 (2009). doi: 10.1029/2009JA014172 CrossRefGoogle Scholar
  18. Kaiser, G.: A Friendly Guide to Wavelets. Birkhauser, Cambridge (1994). ISBN 0817637117 zbMATHGoogle Scholar
  19. Le, G.M.: Chin. J. Astron. Astrophys. 4(6), 578 (2004) CrossRefADSGoogle Scholar
  20. Lean, J., Rind, D.: J. Clim. 11, 3069 (1998). doi: 10.1175/1520-0442(1998)011 CrossRefADSGoogle Scholar
  21. Li, C.H., Yang, Z.F., Huang, G.H., Li, Y.P.: Expert Syst. Appl. 36(2), 3309 (2009). doi: 10.1016/j.eswa.2008.01.083 CrossRefGoogle Scholar
  22. Li, K.J., Gao, P.X., Su, T.W.: Sol. Phys. 229, 181 (2005). doi: 10.1007/s11207-005-5001-y CrossRefADSGoogle Scholar
  23. Lihua, M., Yanben, H., Zhiqiang, Y.: Appl. Geophys. 4(3), 231 (2007). doi: 10.1007/s11770-007-0029-4 CrossRefADSGoogle Scholar
  24. Liu, Y., Liang, X.S., Weisberg, R.H.: J. Atmos. Ocean. Technol. 24, 2093 (2007). doi: 10.1175/2007JTECHO511.1 CrossRefADSGoogle Scholar
  25. Lockwood, M., Fröhlich, C.: Proc. Royal Soc. A, Math. Phys. Eng. Sci. 463, 2447 (2007). doi: 10.1098/rspa.2007.1880 CrossRefADSGoogle Scholar
  26. Moore, J., Grinsted, A., Jevrejeva, S.: Geophys. Res. Lett. 33, 17705 (2006). doi: 10.1029/2006GL026501 CrossRefADSGoogle Scholar
  27. Moore, J., Grinsted, A., Jevrejeva, S.: Nonlinear Dyn. Geosci., 457 (2007). doi: 10.1007/978-0-387-34918-3_25
  28. Oerlemans, J.: Science 308(5722), 675 (2005) CrossRefADSGoogle Scholar
  29. Parker, D.E., Legg, T.P., Folland, C.K.: Int. J. Climatol. 12, 317 (1992) CrossRefGoogle Scholar
  30. Perel, M.V., Sidorenko, M.S.: J. Phys. A, Math. Gen. 40, 3441 (2007). doi: 10.1088/1751-8113/40/13/011 zbMATHCrossRefMathSciNetADSGoogle Scholar
  31. Perel, M.V., Sidorenko, M.S.: J. Phys. A, Math. Gen. 42, 5211 (2009). doi: 10.1088/1751-8113/42/37/375211 MathSciNetGoogle Scholar
  32. Piscaronoft, P., Kalvová, J., Brázdil, R.: Int. J. Climatol. 24(13), 1661 (2004). doi: 10.1002/joc.1095 CrossRefGoogle Scholar
  33. Polygiannakis, J., Preka-Papadema, P., Moussas, X.: Mon. Not. R. Astron. Soc. 343, 725 (2003). doi: 10.1046/j.1365-8711.2003.06705.x CrossRefADSGoogle Scholar
  34. SIDC-team: Monthly Report on the International Sunspot Number, online catalogue (1700–2008) Google Scholar
  35. Sweldens, W.: SIAM J. Math. Anal. 29(2), 511 (1998) zbMATHCrossRefMathSciNetGoogle Scholar
  36. Torrence, C., Compo, G.P.: Bull. Am. Meteorol. Soc. 79(1), 61 (1998) CrossRefADSGoogle Scholar
  37. Weber, S.L.: Clim. Past 1, 9 (2005) CrossRefGoogle Scholar
  38. Wilson, R.M.: Sol. Phys. 115, 397 (1988). doi: 10.1007/BF00148736 CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Alphawave ResearchAtlantaUSA

Personalised recommendations