Long-Term Periodic Modeling in Hydrology: Role of Sunspot Cycles
Publication: Journal of Hydrologic Engineering
Volume 25, Issue 5
Abstract
Solar irradiation is the dominant source of energy driving hydrologic phenomena on the Earth. This study is a step toward investigating the statistical significance of the relationship between hydrologic data and persistent solar cycles, thereby expanding our knowledge of developing long-term periodic hydrologic models. The task was performed by smoothing the historical monthly mean sunspot data from January 1749 to December 2014, using a discrete Fourier model with a logistic distribution filter capable of removing low amplitude harmonics in the frequency domain, in order to reveal the essential cycles and detect the fundamental solar period. The fundamental period is exploited to promote a Fourier model for generating sunspot forecasts that can be devoted to monitoring, on average, the variation pattern of hydrologic data beyond their records. The results showed that the sunspot pattern can reasonably be synthesized by considering a single fundamental period equal to 2,532 months corresponding to de Vries cycle. A case study of monthly rainfall data was used to develop a sinusoidal model triggering typical solar periodicities of Schwabe, Hale, Gleissberg, and de Vries cycles. The model was able to capture the current long-scale rainfall pattern resulted from hidden periodicities that would only be revealed if a wider range of historical rainfall data was available.
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Acknowledgments
The author is grateful to the Directorate General of Civil Aviation of Kuwait for providing permission to use the rainfall data.
References
Almedeij, J. 2016. “Long-term periodic drought modelling.” Stochastic Environ. Res. Risk Assess. 30 (3): 901–910. https://doi.org/10.1007/s00477-015-1065-x.
Al-Tameemi, M. A., and V. V. Chukin. 2016. “Global water cycle and solar activity variations.” J. Atmos. Sol. Terr. Phys. 142 (May): 55–59. https://doi.org/10.1016/j.jastp.2016.02.023.
Bendat, J. S., and A. G. Piersol. 2010. Random data: Analysis and measurement procedures. Hoboken, NJ: Wiley.
Berndtsson, R., C. Uvo, M. Matsumoto, K. Jinno, A. Kawamura, S. Xu, and J. Olsson. 2001. “Solar-climatic relationship and implications for hydrology.” Hydrol. Res. 32 (2): 65–84. https://doi.org/10.2166/nh.2001.0005.
Bhattacharyya, S., and R. Narasimha. 2005. “Possible association between Indian monsoon rainfall and solar activity.” Geophys. Res. Lett. 32 (5): L05813. https://doi.org/10.1029/2004GL021044.
Brokwell, P. J., and R. A. Davis. 2002. Introduction to time series and forecasting. 2nd ed. New York: Springer.
Chiu, C. L. 1978. “Applications of Kalman filter to hydrology, hydraulics, and water resources.” In Proc., American Geophysical Union, Chapman Conf. on Applications of Kalman Filtering Theory and Technique to Hydrology, Hydraulics, and Water Resources. Pittsburgh: Univ. of Pittsburgh.
Conway, A. J., K. P. Macpherson, G. Blacklaw, and J. C. Brown. 1998. “A neural network prediction of solar cycle 23.” J. Geophys. Res. Space Phys. 103 (A12): 29733–29742. https://doi.org/10.1029/98JA02539.
Dudok de Wit, T., L. Lefèvre, and F. Clette. 2016. “Uncertainties in the sunspot numbers: Estimation and implications.” Sol. Phys. 291 (9–10): 2709–2731. https://doi.org/10.1007/s11207-016-0970-6.
Friis-Christensen, E., and K. Lassen. 1991. “Length of the solar cycle: An indicator of solar activity closely associated with climate.” Science 254 (5032): 698–700. https://doi.org/10.1126/science.254.5032.698.
Gleissberg, W. 1939. “A long-periodic fluctuation of the sun-spot numbers.” Observatory 62: 158–159.
Hale, G. E., F. Ellerman, S. B. Nicholson, and A. H. Joy. 1919. “The magnetic polarity of sun-spots.” Astrophys. J. 49: 153–178. https://doi.org/10.1086/142452.
Hathaway, D. H. 2015. “The solar cycle.” Living Rev. Sol. Phys. 12 (4): 1–87. https://doi.org/10.1007/lrsp-2015-4.
Jungclaus, J., et al. 2017. “The PMIP4 contribution to CMIP6—Part 3: The last millennium, scientific objective, and experimental design for the PMIP4 past1000 simulations.” Geosci. Model Dev. Discuss. 10 (11): 4005–4033. https://doi.org/10.5194/gmd-10-4005-2017.
Lepreti, F., P. C. Fanello, F. Zaccaro, and V. Carbone. 2000. “Persistence of solar activity on small scales: Hurst analysis of time series coming from Hα flares.” Sol. Phys. 197 (1): 149–156. https://doi.org/10.1023/A:1026560212716.
Letellier, C., L. A. Aguirre, J. Maquet, and R. Gilmore. 2006. “Evidence for low dimensional chaos in sunspot cycles.” Astron. Astrophys. 449 (1): 379–387. https://doi.org/10.1051/0004-6361:20053947.
Li, H. J., J. E. Gao, H. C. Zhang, Y. X. Zhang, and Y. Y. Zhang. 2017. “Response of extreme precipitation to solar activity and el niño events in typical regions of the Loess plateau.” Adv. Meteorol. 2017: 9. https://doi.org/10.1155/2017/9823865.
Lyons, R. G. 2011. Understanding digital signal processing. 3rd ed. New York: Pearson.
Mitchell, J. M., C. W. Stockton, and D. M. Meko. 1979. “Evidence of a 22-year rhythm of drought in the western United States related to the Hale solar cycle since the 17th century.” In Solar-terrestrial influences on weather and climate, 125–143. Dordrecht, Netherlands: Springer.
Neff, U., S. J. Burns, A. Mangini, M. Mudelsee, D. Fleitmann, and A. Matter. 2001. “Strong coherence between solar variability and the monsoon in Oman between 9 and 6 kyr ago.” Nature 411 (6835): 290–293. https://doi.org/10.1038/35077048.
Newell, N. E., R. E. Newell, J. Hsiung, and W. Zhongxiang. 1989. “Global marine temperature variation and the solar magnetic cycle.” Geophys. Res. Lett. 16 (4): 311–314. https://doi.org/10.1029/GL016i004p00311.
Padmanabhan, G., and A. Ramachandra Rao. 1988. “Maximum entropy spectral analysis of hydrologic data.” Water Resour. Res. 24 (9): 1519–1533. https://doi.org/10.1029/WR024i009p01519.
PAGES Hydro2k Consortium. 2017. “Comparing proxy and model estimates of hydroclimate variability and change over the common era.” Clim. Past 13 (12): 1851–1900. https://doi.org/10.5194/cp-13-1851-2017.
Pelt, J., M. J. Käpylä, and N. Olspert. 2017. “Method of frequency dependent correlations: Investigating the variability of total solar irradiance.” Astron. Astrophys. 600 (A9): 1–19. https://doi.org/10.1051/0004-6361/201527816.
Petrovay, K. 2010. “Solar cycle prediction.” Living Rev. Sol. Phys. 7 (1): 1–6. https://doi.org/10.12942/lrsp-2010-6.
Pittock, A. B. 1978. “A critical look at long-term sun-weather relationships.” Rev. Geophys. 16 (3): 400–420. https://doi.org/10.1029/RG016i003p00400.
Raspopov, O. M., V. A. Dergachev, J. Esper, O. V. Kozyreva, D. Frank, M. Ogurtsov, T. Kolström, and X. Shao. 2008. “The influence of the de Vries () solar cycle on climate variations: Results from the central Asian mountains and their global link.” Palaeogeogr. Palaeoclimatol. Palaeoecol. 259 (1): 6–16. https://doi.org/10.1016/j.palaeo.2006.12.017.
Ruzmaikin, A., and J. Feynman. 2015. “The Earth’s climate at minima of centennial Gleissberg cycles.” Adv. Space Res. 56 (8): 1590–1599. https://doi.org/10.1016/j.asr.2015.07.010.
Sagir, S., S. Karatay, R. Atici, A. Yesil, and O. Ozcan. 2015. “The relationship between the quasi biennial oscillation and sunspot number.” Adv. Space Res. 55 (1): 106–112. https://doi.org/10.1016/j.asr.2014.09.035.
Salas, I., C. Herrera, J. A. Luque, J. Delgado, J. Urrutia, and T. Jordan. 2016. “Recent climatic events controlling the hydrological and the aquifer dynamics at arid areas: The case of Huasco river watershed, northern Chile.” Sci. Total Environ. 571 (Nov): 178–194. https://doi.org/10.1016/j.scitotenv.2016.07.132.
Sang, Y. F., D. Wang, J. C. Wu, Q. P. Zhu, and L. Wang. 2009. “The relation between periods’ identification and noises in hydrologic series data.” J. Hydrol. 368 (1): 165–177. https://doi.org/10.1016/j.jhydrol.2009.01.042.
Shapoval, A., J. L. Le Mouël, M. Shnirman, and V. Courtillot. 2017. “Dynamics of sunspot series on time scales from days to years: Correlation of sunspot births, variable lifetimes, and evolution of the high-frequency spectral component.” J. Geophys. Res. Space Phys. 122 (12): 11874–11887. https://doi.org/10.1002/2017JA024430.
SILSO World Data Center. 2014. “Sunspot number and long-term solar observations.” International Sunspot Number Monthly Bulletin and Online Catalogue. Brussel, Belgium: Royal Observatory of Belgium.
Steinhilber, F., and J. Beer. 2013. “Prediction of solar activity for the next 500 years.” J. Geophys. Res. Space Phys. 118 (5): 1861–1867. https://doi.org/10.1002/jgra.50210.
Suess, H. E. 1980. “The radiocarbon record in tree rings of the last 8,000 years.” Radiocarbon 22 (2): 200–209. https://doi.org/10.1017/S0033822200009462.
Svensmark, H., and E. Friis-Christensen. 1997. “Variation of cosmic ray flux and global cloud coverage—A missing link in solar-climate relationships.” J. Atmos. Sol. Terr. Phys. 59 (11): 1225–1232. https://doi.org/10.1016/S1364-6826(97)00001-1.
Tiwari, R. K., and R. Rajesh. 2014. “Imprint of long-term solar signal in groundwater recharge fluctuation rates from northwest China.” Geophys. Res. Lett. 41 (9): 3103–3109. https://doi.org/10.1002/2014GL060204.
Usoskin, I. G. 2017. “A history of solar activity over millennia.” Living Rev. Sol. Phys. 14 (1): 1–97. https://doi.org/10.1007/s41116-017-0006-9.
Vlachos, M., P. Yu, and V. Castelli. 2005. “On periodicity detection and structural periodic similarity.” In Proc., 2005 SIAM Int. Conf. on Data Mining, 449–460. Philadelphia: Society for Industrial and Applied Mathematics.
Wagner, G., J. Beer, J. Masarik, R. Muscheler, P. W. Kubik, W. Mende, C. Laj, G. M. Raisbeck, and F. Yiou. 2001. “Presence of the solar de Vries cycle () during the last ice age.” Geophys. Res. Lett. 28 (2): 303–306. https://doi.org/10.1029/2000GL006116.
Wang, Y. M., N. R. Sheeley, and M. D. Andrews. 2002. “Polarity reversal of the solar magnetic field during cycle 23.” J. Geophys. Res. Space Phys. 107 (A12): SSH 10-1–SSH 10-7. https://doi.org/10.1029/2002JA009463.
Wood, C. A., and R. R. Lovett. 1974. “Rainfall, drought and the solar cycle.” Nature 251 (5476): 594–596. https://doi.org/10.1038/251594a0.
Yanfang, S., W. Zhonggen, and L. Changming. 2013. “Research progress on the time series analysis methods in hydrology.” Prog. Geogr. 32 (1): 20–30.
Zanchettin, D. 2017. “Aerosol and solar irradiance effects on decadal climate variability and predictability.” Curr. Clim. Change Rep. 3 (2): 150–162. https://doi.org/10.1007/s40641-017-0065-y.
Zanchettin, D., A. Rubino, P. Traverso, and M. Tomasino. 2008. “Impact of variations in solar activity on hydrological decadal patterns in northern Italy.” J. Geophys. Res. Atmos. 113 (D12): 1–12. https://doi.org/10.1029/2007JD009157.
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Journal of Hydrologic Engineering
Volume 25 • Issue 5 • May 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Feb 28, 2018
Accepted: Nov 14, 2019
Published online: Feb 21, 2020
Published in print: May 1, 2020
Discussion open until: Jul 21, 2020
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