Pure and Applied Geophysics

, Volume 172, Issue 2, pp 531–543 | Cite as

Evidence for Nonlinear Coupling of Solar and ENSO Signals in Indian Temperatures During the Past Century

  • R. K. Tiwari
  • Rekapalli RajeshEmail author
  • B. Padmavathi


Significant fluctuations have been observed in Indian temperatures during past century. In order to identify the statistical periodicities in the maximum and minimum temperature data of different Indian zones, we have spectrally and statistically analyzed the homogeneous regional temperature series from the Western Himalayas, the Northern West, the North Central, the North East (NE), the West Coast, the East Coast, and the Interior Peninsula for the period of 107 years spanning over 1901–2007 using the multitaper method (MTM) and singular spectrum analysis (SSA) methods. The first SSA reconstructed the principal component of all the data sets representing a nonlinear trend (indicating a monotonic rise in temperature probably due to greenhouse gases and other forcing) that varies from region to region. We have reconstructed the temperature time series using the second to tenth oscillatory principal components of all the eight regions and computed their power spectral density using MTM. Our analyses indicate that there is a strong spectral power in the period range of 2–7 years and 53 years, which are matched respectively with the known El Niño–Southern oscillation (ENSO) periods and ocean circulation cycles. Further, the spectral analysis also revealed a statistically significant but riven cycle in a period range of 9.8–13 years corresponding to the Schwabe cycle in all Indiaian maximum and minimum temperature records and almost all the zonal records except in the NE data. In some of the cases, the 22 year double sunspot (Hale cycle) cycle was also identified here. Invariably the splitting of spectral peaks corresponding to solar signal indicated nonlinear characteristics of the data and; therefore, even small variations in the solar output may help in catalyzing the coupled El Niño-atmospheric ENSO cycles by altering the solar heat input to the oceans. We, therefore, conclude that the Indian temperature variability is probably driven by the nonlinear coupling of ENSO and solar activity.


Indian temperature ENSO solar activity SSA 



The Authors thank Director, CSIR - NGRI for his permission to publish this work under the contribution CSIR 12FYP project PSC0204 (INDEX). Second and third authors are also grateful to CSIR for SRF and Internship funding respectively. We thank anonymous reviewers and editors for their valuable suggestion to improve the quality of the manuscript.


  1. Appenzeller, C., Stocker, T. F., and Anklin, M. (1998). North Atlantic Oscillation Dynamics Record in Greenland Ice Cores. Science, 282(5388), 446–449.Google Scholar
  2. Ball, W. T., Unruh, Y. C., Krivova, N. A., Solanki, S., Wenzler, T., Mortlock, D. J., and Jaffe, A. H. (2012). Reconstruction of total solar irradiance 1974–2009. Astronomy and Astrophysics, 541, doi: 10.1051/0004-6361/201118702.
  3. Banholzer, S., and Donner, S. (2014). The influence of different El Nino types on global average temperature. Geophys. Res. Lett., 41, doi: 10.1002/2014GL059520.
  4. Barnett, T.P., et al. (1989). The effect of Eurasian snow cover on regional and global climate variations. J. Atmos. Sci., 48, 661–685.Google Scholar
  5. Budyko, M. I. (1969). The effect of solar radiation variations on the climate of the Earth. Tellus, 21, 611–619.Google Scholar
  6. Chowdary, J.S., Gnanaseelan, C., Vaid, B.H., and Salvekar, P.S. (2006). Changing trends in the tropical Indian Ocean SST during La Nina years. Geophys. Res. Lett., 33, L18610. doi: 10.1029/2006GL026707.
  7. Chowdary, J. S., John, N., and Gnanaseelan, C. (2014). Interannual variability of surface air-temperature over India: impact of ENSO and Indian Ocean Sea surface temperature. Int. J. Climatol., 34, 416–429.Google Scholar
  8. Dong, Lu, and Tianjun Zhou (2014). The Indian Ocean Sea Surface Temperature Warming Simulated by CMIP5 Models during the Twentieth Century: Competing Forcing Roles of GHGs and Anthropogenic Aerosols. J. Climate, 27, 3348–3362.Google Scholar
  9. Feng, S.H., Kaufman, D., Yoneji, S., Nelson, D., Shemesh, A., Huang, Y., Tian, J., Bond, G., Benjamin, C., and Brown, T. (2003). Cyclic Variation and Solar Forcing of Holocene Climate in the Alaskan Subarctic. Science, 301, 1890–1893.Google Scholar
  10. de Freitas, C., and Mclean, J. (2013). Update of the Chronology of Natural Signals in the Near-Surface Mean Global Temperature Record and the Southern Oscillation Index. International Journal of Geosciences, 4 (1), 234–239.Google Scholar
  11. Friis, C.E., and Lassen, K. (1991). Length of the Solar Cycle: An Indicator of Solar Activity Closely Associated with Climate. Science, 254 (5032), 698–700.Google Scholar
  12. Friis, C.E., and Svensmark, H. (1997). What do we really know about the sun- climate connection?, Adv. Space Res., 20, 415, 913–9211.Google Scholar
  13. Frohlich, C., and Lean, J. (2004). Solar radiative output and its Variability: Evidence and Mechanisms. The Astron Astropys Rev., 12, 273–320.Google Scholar
  14. Golyandina, N., Nekrutkin, V., and Zhigljavsky, A. A. (2001). Analysis of Time Series Structure: SSA and Related Techniques. Chapman and Hall/CRC Monographs on Statistics and Applied Probability, Taylor and Francis.Google Scholar
  15. Gray, W. M., Sheaffer, J. D., and Knaff, J. A. (1992). Hypothesized mechanism for stratospheric QBO influence on ENSO variability. Geophy. Res. Let., 19, 107–110.Google Scholar
  16. Horel, J. D., and Wallace, J. M. (1981). Planetary-scale atmospheric phenomena associated with the Southern Oscillation. Mon. Wea. Rev.,109, 813–829.Google Scholar
  17. IMD. (1999). Tables of Climatological Normals : 1951-80, India Meteorological Department (IMD), Pune, 350 pp.Google Scholar
  18. Kasatkina, E.A., Shumilov, O.I., and Krapiec, M.(2007). On periodicities in long term climatic variations near 68°N, 30°E. Adv. Geosci, 13, 25–29.Google Scholar
  19. Kiladis, G.N., and Diaz, F.H. (1989). Global Climatic Anomalies Associated with Extremes in the Southern Oscillation. J. Climate, 2, 1069–1090.Google Scholar
  20. Kodera, K. (2005). Possible solar modulation of the ENSO cycle, Pap. Meteorol. Geophys., 55, 21–32.Google Scholar
  21. Kothwale, D.R., and Rupakumar, K. (2005). On the recent changes in surface temperature trends over India, Geophys. Res. Lett., 32, L18714.Google Scholar
  22. Kothawale, D.R., Munot, A.A., and Krishna Kumar, K. (2010). Surface air temperature variability over India during 1901-2007 and its association with ENSO. Climate Research, 42, 89–104, doi: 10.3354/cr00857.
  23. Kothawale, D.R., Krishna Kumar, K., and Srinivasan, G. (2012). Spatial asymmetry of temperature trends over India and possible role of aerosols. Theor. Appl. Climatol., 110, 263–280.Google Scholar
  24. Krivova, N. A., Vieira, L. E. A., and Solanki, S. K. (2010). Reconstruction of solar spectral irradiance since the Maunder minimum. J. Geophys. Res., 115, A12112, doi: 10.1029/2010JA015431.
  25. Lean, J., Beer, J., and Bradley, R. (1995). Reconstruction of solar irradiance.since 1610: Implications for climate change. Geophy.Res.Lett., 22, 3195-3198.Google Scholar
  26. Lentner, C. (1982). Geigy Scientific Tables. Introduction to Statistics, Statistics Tables and Mathematical Formulae, 8th edn. Novartis (formerly Ciba Geigy) publisher, ISBN 13: 9780914168515.Google Scholar
  27. Meehl, G.A., Arblaster, J.M., Matthes, K., Sassi, F., and van Loon, H. (2009). Amplifying the Pacific climate system response to a small 11-year solar cycle forcing. Science, 325, 1114–1118.Google Scholar
  28. Meehl, G. A., Arblaster, J. M., and Marsh, D. R. (2013). Could a future “Grand Solar Minimum” like the Maunder Minimum stop global warming?. Geophys. Res. Lett., 40, 1789–1793.Google Scholar
  29. McPhaden, M.J., Zebiak, S.E., and Glantz, M.H. (2006). ENSO as an Integrating Concept in Earth Science. Science, 314(5806), 1740–1745.Google Scholar
  30. Minobe, S. (1999). Resonance in bidecadal and pent decadal climate oscillations over the North Pacific: Role in climatic regime shifts. Geophysical Research Letters, 26, 855–858.Google Scholar
  31. Mokhov, I. I., Eliseev, A.V., Handorf, D., Petukhov, V.K., Dethloff, K., Weishiemer A., and Khvorost’yanov, D. V. (2000). North Atlantic Oscillation: Diagnosis and simulation of decadal variability and its long period evolution. Atmospheric and Ocean physics, 36, 555–565.Google Scholar
  32. Nicholson, S. E. (1997). An analysis of the Enso signal in the tropical Atlantic and western Indian oceans. Int. J. Climatol., 17, 345–375.Google Scholar
  33. Pant, G.B., and Rupa Kumar, K. (1997). Climates of South Asia. John Wiley and Sons, Chichester, 320 pp.Google Scholar
  34. Proctor, C.J., Baker, A., and Barnes, W. L. (2002). A three thousand year record of North Atlantic Climate. Clim.Dyn, 19, 449–454.Google Scholar
  35. Rajesh, R., Tiwari, R.K., Dhanam, K., and Seshunarayana, T. (2014). T-x frequency filtering of High Resolution Seismic Reflection data using Singular Spectral Analysis. Journal of Applied Geophysics, doi: 10.1016/j.jappgeo.2014.03.017.
  36. Rasmusson, E. M., and Carpenter, T. H. (1982). Variations in tropical sea surface temperature and surface wind fields associated with the Southern Oscillation/El Niño. Mon. Wea. Rev., 110, 354–384.Google Scholar
  37. Rigozo, N. R., Nordeman, D. J. R., Echer, E., Vieira, L. E. A., Echer M. P. S. and Presets, A.(2005). Tree-ring width wavelet and spectral analysis of solar variability and climatic effects on a Chilean cypress during the last two and a half millennia. Climate of the Past Discussions, 1, 121–135.Google Scholar
  38. Rigozo, N. R., Nordeman, D.J.R., Silva, H.E., Echer, M.P.S. and Echer, E. (2007). Solar and climate signal records in tree ring width from Chile (AD1587–1994). Planetary and Space Science, 55, 158–164.Google Scholar
  39. Scafetta, N. (2012). Multi-scale harmonic model for solar and climate cyclical variation throughout the Holocene based on Jupiter-Saturn tidal frequencies plus the 11-year solar dynamo cycle. Journal of Atmospheric and Solar-Terrestrial Physics, doi: 10.1016/j.jastp.2012.02.016.
  40. Schlesinger, M. E., and Ramankutty, N. (1994). An oscillation in the global climate system of period 65–70 years. Nature, 367(6465), 723–726.Google Scholar
  41. Steinhilber, F., Beer, J. and Frohlich, C. (2009). Total solar irradiance during the Holocene. Geophys. Res. Lett., 36, L19704.Google Scholar
  42. Thomson, D. J. (1982). Spectrum estimation and harmonic analysis. Proc. IEEE, 70(9), 1055–1096.Google Scholar
  43. TiwKari, R.K., and Rao, K.N.N. (2004). Signature of ENSO signals in the coral growth rate record of Arabian sea and Indian monsoons. Pure and Applied Geophysics, 161(2), 413–427.Google Scholar
  44. Tiwari, R.K. (2005). Geospectroscpy, Capital Publishing, Capital-publishing Company.Google Scholar
  45. Tiwari, R.K., and Rajesh, R. (2014). Imprint of long-term solar signal in groundwater recharge fluctuation rates from Northwest China. Geophys. Res. Lett., 41(9), 3103–3109.Google Scholar
  46. Tiwari, R.K., and Srilakshmi, S. (2009). Periodicities and non-stationary modes in tree rings temperature variability record of the western Himalayas by Multi taper and wavelet spectral analysis. Current Science, 97, 705–709.Google Scholar
  47. Tsonis, A. A., Elsner, J. B., Hunt, A. G., and Jagger, T. H. (2005). Unfolding the relation between global temperature and ENSO. Geophy.Res.Lett.,32, L09701.Google Scholar
  48. Vautard, R., and Ghil, M. (1989). Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series. Phys. D, 35, 395–424.Google Scholar
  49. Wang, C., and Picaut, J. (2004). Understanding ENSO physics—A review, in Earth’s Climate: The Ocean–Atmosphere Interaction. Geophys. Monogr. Ser., 147, 21–48.Google Scholar
  50. White, W. B., and Liu Z.(2008a) Resonant excitation of the quasi-decadal oscillation by the 11-year signal in the Sun’s irradiance. J. Geophys. Res., 113, C01002.Google Scholar
  51. White, W. B., and Liu, Z. (2008b). Non-linear alignment of El Niño to the 11-yr solar cycle Geophys. Res. Lett., 35, L19607.Google Scholar
  52. White, W. B., and Tourre, Y. M. (2003). Global SST/SLP waves during the 20th century. Geophys. Res. Lett., 30(12), 165.Google Scholar
  53. Wiles, G. C., D’Arrigo, R. D., and Jacoby, G. C. (1998). Gulf of Alaska atmosphere-ocean variability over recent centuries inferred from coastal tree-ring records, Climatic Change, 38, 289–306.Google Scholar
  54. Yasunari, T. (1985). Zonally propagating modes of the global east–west circulation associated with the Southern Oscillation. J. Meteorol. Soc. J., 63, 1013–1029.Google Scholar
  55. Yu, J.Y. and Kim. (2012). Identifying the types of major ElNiño events, since1870. Int. J. Clim., 33(8), 2105–2112.Google Scholar
  56. Zhou, Q., Chen, W., and Zhou, W. (2013). Solar cycle modulation of the ENSO impact on the winter climate of East Asia. J. Geophys. Res., 118, 5111–5119, doi: 10.1002/jgrd.50453.

Copyright information

© Springer Basel 2014

Authors and Affiliations

  • R. K. Tiwari
    • 1
    • 2
  • Rekapalli Rajesh
    • 1
    • 2
    Email author
  • B. Padmavathi
    • 1
  1. 1.Theoretical Modeling GroupCSIR-NGRIHyderabadIndia
  2. 2.AcSIR-NGRIHyderabadIndia

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