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A Regression Model derived from Proxy Data for the 11-year Solar Cycle

Published online by Cambridge University Press:  25 April 2016

J.O. Murphy ,
T.T. Veblen  and
H. Sampson
J.O. Murphy
Affiliation:
Department of Mathematics, Monash University, Clayton, Vic 3168
T.T. Veblen
Affiliation:
Department of Geography, University of Colorado, Boulder, USA
H. Sampson
Affiliation:
Department of Mathematics, Monash University, Clayton, Vic 3168
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Abstract

Ring-width time series obtained from Engelmann Spruce trees growing at high altitude sites in the Rocky Mountains, Colorado, exhibit dominant 11-year spectral periodicities. A significant linear cross-correlation also exists between these series and the Zurich series of annual sunspot numbers. A regression model based on these proxy data has been developed for the annual variation of the 11-year solar cycle. It is established that over the calibration period a very high percentage of the variance (40%) in growth patterns, contributed by a single source, can be explained by solar variation. The model correlates with the Zürich series of sunspot numbers at the 99% significance level post 1870 AD. However, over the total period 1700–1870 AD the comparison was found to be not statistically significant at lag 0. Some possible reasons for this are considered.

Type
Solar and Solar System
Information
Publications of the Astronomical Society of Australia , Volume 10 , Issue 3 , 1993 , pp. 196 - 199
Copyright
Copyright © Astronomical Society of Australia 1993

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References

Bray, R.J. and Loughhead, R.E., 1964, Sunspots, Pitman Press, p. 303.Google Scholar
Currie, R.G., 1991, Int. J. of Climat., 11, 861.CrossRefGoogle Scholar
Cryer, J., 1986, Time Series Analysis, Duxbury Press, p. 286.Google Scholar
Eddy, J.A., 1976, Science, 192, 1189.CrossRefGoogle Scholar
Eddy, J.A., 1977, Historical Evidence for the Existence of the Solar Cycle, in The Solar Output and its Variations, White, O.R. (ed), Colorado Associated University Press, p. 51.Google Scholar
Friis-Christensen, E. and Larsen, K., 1991, Science, 254, 698.CrossRefGoogle Scholar
Fritts, H.C., 1976, Tree Rings and Climate, Academic Press, p. 567.Google Scholar
Jenkins, M. and Watts, D.C., 1986, Spectral Analysis and its Applications, Holden-Day, p. 525.Google Scholar
Kendall, M.G., 1976, Time Series 2nd ed, Charles Griffen & Co., p. 197.Google Scholar
Layden, A.C., Fox, P.A., Howard, J.M., Sarajedini, K.H. and Sofia, S., 1991, Solar Physics, 131, 1.CrossRefGoogle Scholar
Meko, D.M., Stockton, C.W. and Biasing, T.J., 1985, Science, 229, 381.CrossRefGoogle Scholar
Murphy, J.O. and Veblen, T.T., 1992, Proc. Astron. Soc. Aust., 10, 64.CrossRefGoogle Scholar
Sonnett, C.P., 1983, J. Geophys. Res., 88, No A4, 3225.CrossRefGoogle Scholar
Sonnett, C.P., 1990, Long-period Solar-Terrestrial Variability, in The Sun and Time, Sonnett et al. (eds), Univ. Ariz. Press.Google Scholar
Stokes, M.A. and Smiley, T.L., 1968, An Introduction to Tree-ring Dating, Uni. of Chicago Press, p. 73.Google Scholar
Veblen, T.T. Hadley, K.S. and Reid, M.S., 1991, J. of Biogeography 18, 202.CrossRefGoogle Scholar
Wilson, R.C. and Hudson, H.S., 1988, Nature, 332, 810.CrossRefGoogle Scholar