Skip to main content Accessibility help
×
Home

Regression Model for the 22-year Hale Solar Cycle Derived from High Altitude Tree-ring Data

  • J. O. Murphy (a1), H. Sampson (a1), T. T. Veblen (a2) and R. Villalba (a2)

Abstract

Initially some simple analytical properties based on the annual Zürich relative sunspot number are established for the 22-year Hale solar magnetic cycle. Since about AD1850, successive maximum sunspot numbers in a Hale cycle are highly correlated. Also, a regression model for the reconstruction of the 22-year Hale cycle has been formulated from proxy tree-ring data, obtained from spruce trees growing at a high altitude site in White River National Forest in Colorado. Over a considerable fraction of the past 300 years to AD1986, the ring-index time series power spectrum exhibits a strong 22-year periodicity, and more recently a significant spectral peak (at the 95% confidence level) at approximately 11 years. The model shows that the greatest variation in ‘amplitude’ in the magnetic cycle occurs over the early decades of the eighteenth century, when the sample size is small. Thereafter, a nearly constant amplitude is maintained until about AD1880 when a break occurs in both phase correspondence and amplitude, extending over the next three cycles. From AD1950 the signal recovers phase with the solar cycle, with reduced but increasing amplitude.

Copyright

References

Hide All
Berger, A., Milice, J. L. and van der Mersch, I., 1990, Phil. Trans. R. Soc. Lond., A330, 529.
Bray, R. J. and Loughead, R. E., 1964, Sunspots, Chapman and Hall, London.
Castagnoli, G. C, Bonino, G. and Provenzale, A., 1991, In The Sun in Time, Sonett, C. P. et al. (eds), University of Arizona Press, Tucson, p. 562.
Damon, P. E. and Sonett, C. P., 1991, In The Sun in Time, Sonett, C. P. et al. (eds), University of Arizona Press, Tucson, p. 360.
Dixon, W. J. (chief editor), Brown, M. B., Engelman, L., Frane, J. W., Hill, M. A., Jennrich, R. I. and Toporek, J. D., 1985, BMDP Statistical Software, University of California Press.
Eddy, J. A., 1976, Science, 192, 1189.
Epstein, S. and Krishnamurthy, R. V., 1990, Phil. Trans. R. Soc. Lond., A330, 427.
Fritts, H. C, 1976, Tree Rings and Climate, Academic, London.
Hamming, R. W., 1989, Digital Filters, Prentice-Hall, New-York.
Murphy, J. O., 1990, Proc. Astron. Soc. Aust., 8, 298.
Priest, E. R., 1982, Solar Magnetohydrodynamics, Reidel, Dordrecht.
Sonett, C. P., and Finney, S. A., 1990, Phil. Trans. R. Soc. Lond., A330, 413.
Sonett, C. P. and Suess, H. E., 1984, Nature, 307, 141.
Stockton, C. W. and Meko, D. M., 1983, J. Climate Appl. Meteorol., 22, 17.
Veblen, T. T., Hadley, K. S., Reid, M. S. and Rebertus, A. J., 1991a, Can. J. For. Res., 21, 242.
Veblen, T. T., Hadley, K. S., Reid, H. S. and Rebertus, A. J., 1991b, Ecol. Soc. America, 72, 213.

Related content

Powered by UNSILO

Regression Model for the 22-year Hale Solar Cycle Derived from High Altitude Tree-ring Data

  • J. O. Murphy (a1), H. Sampson (a1), T. T. Veblen (a2) and R. Villalba (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.