TECHNICAL PAPERS
Jun 1, 1989

Hale Cycle and Indian Drought and Flood Area Indexes

Publication: Journal of Irrigation and Drainage Engineering
Volume 115, Issue 3

Abstract

The Indian drought and flood area indexes (DAI and FAI, respectively) have been suggested to be related to the Hale cycle of sunspot numbers by Bhalme and Mooley (1981). They studied the dependence between sunspot numbers, DAI, and FAI series by using spectral, cross‐spectral and dial analyses. The inference problems and the lack of dependability of results associated with crossspectral analysis of autocorrelated time series are well known. Consequently, in this study, the relationships between sunspot number, FAI, and DAI are studied by using more accurate methods of investigation of causal connections between time series and the results are reported. Univariate ARMA models are fitted to sunspot number, double sunspot cycle, DAI, and FAI series and these models are validated. The cross‐correlation properties of residuals from these models are studied. Statistical tests developed by McLeod (1979), Pierce (1977), and Haugh (1976) are used to investigate the causal connections between sunspot numbers and DAI and FAI series. The results indicate that there is no significant relationship between sunspot number and FAI series. There is a consistent, statistically significant relationship between sunspot number and mild and moderate DAI series. However, these relationships are not strong enough to be used in forecasting droughts.

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References

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Bartlett, M. S. (1966). An introduction to stochastic processes. 2nd Ed., Cambridge University Press, Cambridge, England, 283–289.
2.
Bhalme, H. N., Mooley, D. A. (1981). Cycle fluctuations in the flood area and relationship with double (hale) sunspot cycle, Amer. Meteorological Society, 1041–1048.
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Mitchell, J. M., Stockton, C. W., and Meko, D. M. (1979). “Evidence of a 22‐year rhythm of drought in the western U.S. related to the Hale solar cycle since the 17th century.” Solar‐Terrestrial Influences on Weather and Climate, B. M. McCoormac and T. A. Seliga, eds., D. Reidel Publishing Company, Dordrecht, Holland.
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Padmanabhan, G., and Rao, A. R. (1980). “Stochastic analysis and modeling of hydrologic and climatologic time series II: Analysis of causal connections between solar activity and climatologic time series and of Palmer's drought index series.” CE‐HSE‐80‐2, School of Civ. Engrg., Purdue Univ., West Lafayette, Ind.
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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 115Issue 3June 1989
Pages: 315 - 333

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Published online: Jun 1, 1989
Published in print: Jun 1989

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Authors

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A. Ramachandra Rao
School of Civ. Engrg., Purdue Univ., West Lafayette, IN 47907
G‐H. Yu
Tamkang Univ., Tamsui, Taipei Hsien, Taiwan 251, Republic of China

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