Abstract
Variations in daily mean solar irradiance at the top of atmosphere (SITOA) caused by the revolution of the Earth around the Sun were studied by analysing two 24-year datasets. The first one was provided by the NASA/GEWEX Surface Radiation Budget Release-3.0 data and the second was evaluated through the model proposed by Laskar and co-authors. It was found that the first two pairs of empirical orthogonal functions and corresponding principal components (PC) account for more than 99.9% of the spatio-temporal variance in SITOA. A quite good consistency among the analysed parameters extracted from considered datasets was noted. Six harmonics with periods from 2 months to 1 year and large differences among their magnitudes were recognised in PC1 and PC2 periodograms. PC1 turned out to be dominated by the annual oscillations, while the semi-annual variations play a prevailing role in PC2. In addition, a close similarity between the periodograms of PC2 and variations in the length of apparent solar day was noted, that assumes a common origin of both variability patterns. The lowest annual amplitude of SITOA variations was found to be slightly above the equator, at \(2^\circ 44\mathrm{^{\prime}}\mathrm{N}\) and the amplitude at southern latitudes exceeds the amplitude at the corresponding northern latitudes by 20–40% in the tropical zone and by about 10% for the rest of the globe.
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Data availability
The SRB time series analysed in the current study were generated from the data available in the NASA Atmospheric Science Data Center (ASDC) repository [https://eosweb.larc.nasa.gov/project/srb/srb_table]. The La2004 dataset was computed by using the INSOLA code available at http://vo.imcce.fr/insola/earth/online/earth/earth.html
References
Barlier F, Lefebvre M (2001) A new look at planet Earth: satellite geodesy and geosciences. In: Geiss J, Huber M (eds) Bleeker JA. The century of space science, Kluwer Academic Publishers, pp 1623–1651
Beutler G (2005) Methods of celestial mechanics, volume II: application to planetary system, geodynamics and satellite geodesy. Springer-Verlag, Germany
Björnsson H, Venegas SA (1997) A manual for EOF and SVD analyses of climatic data. Department of Atmospheric and Oceanic Sciences, Centre for Climate and Global Change Research, McGill University, Canada, http://www.geog.mcgill.ca/gec3/wp-content/uploads/2009/03/Report-no.-1997-1.pdf
Brandt P, Claus M, Greatbatch RJ, Kopte R, Toole JM, Johns WE, Böning CW (2016) Annual and semiannual cycle of equatorial Atlantic circulation associated with basin-mode resonance. J Phys Oceanogr 46:3011–3029. https://doi.org/10.1175/JPO-D-15-0248.1
Bromwicha DH, Wang S-H (2008) A review of the temporal and spatial variability of Arctic and Antarctic atmospheric circulation based upon ERA-40. Dyn Atmos Oceans 44:213–243. https://doi.org/10.1016/j.dynatmoce.2007.09.001
Camp CD, Roulston MS, Yung YL (2003) Temporal and spatial patterns of the interannual variability of total ozone in the tropics. J Geophys R 108(D20):4643. https://doi.org/10.1029/2001JD001504
Courtillot V, Gallet Y, Le Mouël J-L, Fluteau F, Genevey A (2007) Are there connections between the Earth’s magnetic field and climate? Earth Planet Sci Lett 253:328–339
Dunkerton (1989) Nonlinear Hadley circulation driven by asymmetric differential heating. J Atmos Sci 46:956–974
Fedorov VM, Frolova DM (2019) Spatial and temporal variability of solar radiation arriving at the top of the atmosphere. Cosm Res 57:156–162. https://doi.org/10.1134/S0010952519030043
Fröhlich C, Lean J (2004) Solar radiative output and its variability: evidence and mechanisms. Astron Astrophys Rev 12:273–320. https://doi.org/10.1007/s00159-004-0024-1
Goswami BN, Ajaya Mohan RS (2001) Intraseasonal oscillations and interannual variability of the Indian summer monsoon. J Clim 14:1180–1198
Gross RS (2009) Earth rotation variations – long period. In: Herring TA (ed) Physical geodesy, treatise on geophysics, vol 3. Elsevier, Netherlands, pp 239–294
Haigh JD (1994) The role of stratospheric ozone in modulating the solar radiative forcing of climate. Nature 370(6490):544–546
Haigh JD (2007) The Sun and the Earth’s climate. Living reviews in solar physics, 4(1), Article 2. http://www.livingreviews.org/lrsp-2007-2
Haigh J (2011) Solar influences on climate. Grantham Institute for Climate Change, Briefing paper No 5, Imperial College, London. https://www.imperial.ac.uk/media/imperial-college/grantham-institute/public/publications/briefing-papers/Solar-Influences-on-Climate---Grantham-BP-5.pdf
Hannachi A, Jolliffe IT, Stephenson DB (2007) Empirical orthogonal functions and related techniques in atmospheric science: a review. Int J Climatol 27:1119–1152
Harris FJ (1978) On the use of the windows for harmonic analysis with the direct Fourier transform. Proc IEEE 60:51–83
Hathaway DH (2015) The solar cycle. Living Rev Sol Phys 12(1):4. https://doi.org/10.1007/lrsp-2015-4
Henderson GR, Barrett BS, Lafleur DM (2014) Arctic sea ice and the Madden–Julian oscillation (MJO). Clim Dyn 43:2185–2196. https://doi.org/10.1007/s00382-013-2043-y
Hoyt DV, Schatten KH (1997) The role of the sun in climate change. Oxford University Press, New York
Hughes DW, Yallop BD, Hohenkerk CY (1989) The equation of time. Mon Not R Astr Soc 238:1529–1535
Iqbal M (1983) An introduction to solar radiation. Academic Press Canada
Laskar J, Robutel P, Joutel F, Gastineau M, Correia ACM, Levrard B (2004a) A long-term numerical solution for the insolation quantities of the Earth. Astron Astrophys 428:261–285
Laskar J et al. (2004b) Astronomical solutions for earth paleoclimates, solutions La2004 from -50 Myr to +20 Myr. http://vo.imcce.fr/insola/earth/online/earth/earth.html. Accessed 27 Dec 2018
Lau WKM, Waliser DE (2012) Intraseasonal variability in the atmosphere-ocean climate system, 2d edn. Springer, Heidelberg, Germany
Lean J, Rind D (1999) Evaluating sun-climate relationships since the Little Ice Age. J Atmos Solar-Terr Phys 61:25–36. https://doi.org/10.1016/S1364-6826(98)00113-8
Lembo V, Bordi I, Speranza A (2017) Annual and semiannual cycles of midlatitude near-surface temperature and tropospheric baroclinicity: reanalysis data and AOGCM simulations. Earth Syst Dynam 8:295–312
Levin BW, Sasorova EV, Steblov GM, Domanski AV, Prytkov AS, Tsyba EN (2017) Variations of the Earth’s rotation rate and cyclic processes in geodynamics. Geodesy Geodyn 8:206–212
Li K-F, Tian B, Tung K-K, Kuai L, Worden JR, Yung YL, Slawski BL (2013) A link between tropical intraseasonal variability and Arctic stratospheric ozone. J Geophys Res 118:4280–4289
Liou KN (2002) An introduction to atmospheric radiation, 2d edn. Elsevier Science, USA
Lomb NR (1976) Least-squares frequency analysis of unequally spaced data. Astrophys Space Sci 39:447–462
Lourens LJ (2016) The variation of the Earth’s movements (orbital, tilt and precession). In: Letcher TM (ed) Climate Change, 2d edn. Elsevier, Netherlands, pp 399–418
Madden RA, Julian PR (1971) Detection of a 40–50 day oscillation in the zonal wind in the tropical Pacific. J Atmos Sci 28:702–708
Maleki SAM, Hizam H, Gomes C (2017) Estimation of hourly, daily and monthly global solar radiation on inclined surfaces: models re-visited. Energies 10:134. https://doi.org/10.3390/en10010134
Michalsky JJ (1988) The astronomical almanac’s algorithm for approximate solar position (1950–2015). Sol Energy 40:227–235
Milankovitch M (1941) Kanon der Erdbestrahlung und seine Andwendung auf das Eiszeitenproblem. Royal Serbian Academy, Serbia
Petkov BP (2015) Temperature variability over the Po Valley, Italy, according to Radiosounding Data. Adv Meteorol 2015(383614):9. https://doi.org/10.1155/2015/383614
Petkov B, Vitale V, Gröbner J, Hülsen G, De Simone S, Gallo V, Tomasi C, Busetto M, Barth VL, Lanconelli C, Mazzola M (2012) Short-term variations in surface UV-B irradiance and total ozone column at Ny-Ålesund during the QAARC campaign. Atmos Res 108:9–18
Petkov BH, Vitale V, Svendby TM, Hansen GH, Sobolewski PS, Láska K, Elster J, Pavlova K, Viola A, Mazzola M, Lupi A, Solomatnikova A (2018) Altitude-temporal behaviour of atmospheric ozone, temperature and wind velocity observed at Svalbard. Atmos Res 207:100–110
Rapp D (2019) Ice ages and interglacials, 3rd edn. Springer Nature Switzerland
Resmi EA, Murugavel P, Dinesh G, Balaji B, Leena PP, Mercy V (2019) Observed diurnal and intraseasonal variations in boundary layer winds over Ganges valley. J Atmos Sol-Terr Phys 188:11–25
Santi D, Spaggiari G, Brigante G, Setti M, Tagliavini S, Trenti T, Simoni M (2019) Semi-annual seasonal pattern of serum thyrotropin in adults. Sci Rep 9:10786
Sato K, Hirano S (2019) The climatology of the Brewer-Dobson circulation and the contribution of gravity waves. Atmos Chem Phys 19:4517–4539. https://doi.org/10.5194/acp-19-4517-2019
Scafetta N (2010) Empirical evidence for a celestial origin of the climate oscillations and its implications. J Atmos Solar Terr Phys 72:951–970. https://doi.org/10.1016/j.jastp.2010.04.015
Scafetta N, West BJ (2005) Estimated solar contribution to the global surface warming using the ACRIM TSI satellite composite. Geophys Res Lett 32:L18713. https://doi.org/10.1029/2005GL023849
Scargle JD (1982) Studies in astronomical time series analysis. II. Statistical aspects of spectral analysis of unevenly spaced data. Astrophys J 263:835–853
Shimizu MH, Ambrizzi T (2016) MJO influence on ENSO effects in precipitation and temperature over South America. Theor Appl Climatol 124:291–301. https://doi.org/10.1007/s00704-015-1421-2
Smith GL, Mlynczak PE, Potter GL (2012) A technique using principal component analysis to compare seasonal cycles of Earth radiation from CERES and model computations. J Geophys Res 117:D09116. https://doi.org/10.1029/2011JD017343
SRB (2008) NASA Langley Research Center (LaRC) Atmospheric Science Data Center (ASDC), Global Energy and Water-Cycle Experiment (GEWEX), Surface radiation budget (SRB) Integrated Product (Rel-3), Shortwave Daily Average by local Fluxes. Available at: https://eosweb.larc.nasa.gov/project/srb/srb_table. Accessed on 10 September 2018
SVD (2023) MathWorks, Help Center. https://it.mathworks.com/help/matlab/ref/double.svd.html
Tian B, Yung YL, Waliser DE, Tyranowski T, Kuai L, Fetzer EJ, Irion FW (2007) Intraseasonal variations of the tropical total ozone and their connection to the Madden-Julian Oscillation. Geophys Res Lett 34:L08704. https://doi.org/10.1029/2007GL029451
Wald L (2018) Basic in solar radiation at Earth surface, Mines Paris. https://hal-mines-paristech.archives-ouvertes.fr/hal-01676634
Wang Z, Boyd K, Walsh JE (2023) Modulation of polar low activity by the Madden-Julian Oscillation. Geophys Res Lett 50:e2023GL103719. https://doi.org/10.1029/2023GL103719
Wielicki BA, Barkstrom BR, Harrison EF, Lee RB III, Smith GL, Cooper JE (1996) Clouds and the Earth’s radiant energy system (SRB): an Earth observing system experiment. Bull Am Meteor Soc 77:853–868
Wilber AC, Smith GL, Gupta SK, Stackhouse PW (2006) Annual cycles of surface shortwave radiative fluxes. J Clim 9:535–547
Yan Y, Wang G, Chen C, Ling Z (2018) Annual and semiannual cycles of diurnal warming of sea surface temperature in the South China Sea. J Geophys Res: Oceans 123:5797–5807. https://doi.org/10.1029/2017JC013657
Yashayaev IM, Zveryaev II (2001) Climate of the seasonal cycle in the North Pacific and the North Atlantic Oceans. Int J Climatol 21:401–417
Young PJ, Thompson DWJ, Rosenlof KH, Solomon S, Lamarque J-F (2011) The seasonal cycle and interannual variability in stratospheric temperatures and links to the Brewer-Dobson circulation: an analysis of MSU and SSU data. J Clim 24:6243–6258
Zalasiewicz J, Williams M (2016) Climate change through Earth’s history. In: Letcher TM (ed) Climate Change, 2d edn. Elsevier, Netherlands, pp 3–17
Zhan R, Li J, Gettelman A (2006) Intraseasonal variations of upper tropospheric water vapor in Asian monsoon region. Atmos Chem Phys Discuss 6:8069–8095
Zhang Ch (2005) Madden-Julian oscillation. Rev Geophys 43. https://doi.org/10.1029/2004RG000158
Ziemke JR, Chandra S, Schoeberl MR, Froidevaux L, Read WG, Levelt PF, Bhartia PK (2007) Intra-seasonal variability in tropospheric ozone and water vapour in the tropics. Gheophys Res Lett 34:L17804
Acknowledgements
The NASA/GEWEX Surface Radiation Budget (SRB) Release-3.0 data were obtained from the NASA Langley Research Center, Atmospheric Science Data Center. The free provision of the INSOLA code by the authors is also acknowledged. I thank the anonymous reviewers for their constructive and valuable comments.
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Petkov, B.H. Variations in solar irradiance entering the Earth’s atmosphere caused by the planet orbital features. Theor Appl Climatol 155, 701–713 (2024). https://doi.org/10.1007/s00704-023-04658-z
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DOI: https://doi.org/10.1007/s00704-023-04658-z