Abstract
Surface solar radiation (SSR) and energy balance are closely related to the Earth’s climate, water cycle, atmospheric conditions, and thus the human habitat, and accurate tracking of the energy cycle is essential. However, a certain degree of uncertainty still exists in current studies of long-term SSR changes due to the lack of a state-of-the-art benchmark observational dataset. To understand this issue, we present a systematic comparison of SSR from in-situ observations, the Fifth generation European Centre for Medium-Range Weather Forecasts (ECMWF) reanalysis (ERA5), and the The Coupled Model Intercomparison Project—Phase 6 (CMIP6) in this paper. Our results show that: (1) The reverse interpolated station SSR series based on the ERA5 and the CMIP6 multi-models ensemble (MME) reflects the observed SSR values at the local/station scale to a certain degree. Although the underestimation/overestimation varies slightly in different regions/stations, the overall Mean Absolute Error (MAE) and Root Mean Square Error (RMSE) are about 15% and 21%, respectively of the observations. (2) Both the ERA5 SSR and the CMIP6 MME roughly reflect the seasonal variability and the spatial distributions of the SSR’s climatological means (1971–2000) from gridded in-situ observations. (3) The SSR from the ERA5 is more consistent with observations than the CMIP6 MME in the temporal variations, long-term trend, and the uncertainties at global and continental scales. The latter has insignificant fluctuations in interannual variability, consistent with the trend in-situ observations only from 1950 to 1990, but fails the significant test (at 5% level) after that except for some regions. Therefore, developing a higher quality global long-term SSR benchmark climatic dataset with more complete coverage is still of great significance for optimizing surface energy balance estimates and studies of the impact of human activities on climate change.










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Data availability
The GEBA data can be downloaded from https://geba.ethz.ch/. The WRDC data were available from http://wrdc.mgo.rssi.ru/. The CMA data were accessible from http://data.cma.cn/data/cdcdetail/dataCode/RADI_MUL_CHN_MON.html. C-LAST 2.0 were collected from https://doi.pangaea.de/10.1594/PANGAEA.919574. The ERA5 data were obtained at https://apps.ecmwf.int/data-catalogues/era5/. The CMIP6 data can be retrieved from https://esgf-node.llnl.gov/search/cmip6/.
Notes
There is a problem with the historic SSR in-situ data in Australia prior to 1988: the original data have been artificially detrended, as the Weather service there was afraid that the instruments were drifting. Therefore, the trend in the historic Australian SSR data prior to 1988 is artificially mostly flat.
References
Allen R, Norris J, Wild M (2013) Evaluation of multidecadal variability in CMIP5 surface solar radiation and inferred underestimation of aerosol direct effects over Europe, China, Japan, and India. J Geophys Res Atmos 118:6311–6336. https://doi.org/10.1002/jgrd.50426
Andersson E, Thépaut J (2008) ECMWF’s 4D-Var data assimilation system–the genesis and ten years in operations. ECMWF Newsl 115:8–12
Augustine JA, Dutton EG (2013) Variability of the surface radiation budget over the United States from 1996 through 2011 from high-quality measurements. J Geophys Res: Atmos 118:43–53. https://doi.org/10.1029/2012jd018551
Bartók B, Wild M, Folini D, Lüthi D, Kotlarski S, Schär C, Vautard R, Jerez S, Imecs Z (2017) Projected changes in surface solar radiation in CMIP5 global climate models and in EURO-CORDEX regional climate models for Europe. Clim Dyn 49:2665–2683. https://doi.org/10.1007/s00382-016-3471-2
Benestad RE, Schmidt GA (2009) Solar trends and global warming. J Geophys Res 114:1–8. https://doi.org/10.1029/2008jd011639
Boilley A, Wald L (2015) Comparison between meteorological re-analyses from ERA-Interim and MERRA and measurements of daily solar irradiation at surface. Renew Energy 75:135–143. https://doi.org/10.1016/j.renene.2014.09.042
Chao L, Huang B, Yuanjian Y, Jones P, Cheng J, Yang Y, Li Q (2020) A new evaluation of the role of urbanization to warming at various spatial scales: evidence from the Guangdong-Hong Kong-Macau region, China. Geophys Res Lett 47:e2020GL089152
Chen L (2021) Uncertainties in solar radiation assessment in the United States using climate models. Clim Dyn 56:665–678. https://doi.org/10.1007/s00382-020-05498-7
Cheng J, Li Q, Chao L, Maity S, Huang B, Jones P (2020) Development of high resolution and homogenized gridded land surface air temperature data: a case study over Pan-East Asia. Front Environ Sci. https://doi.org/10.3389/fenvs.2020.588570
Deng J, Zhang Y, Qin B, Shi K (2015) Long-term changes in surface solar radiation and their effects on air temperature in the Shanghai region. Int J Climatol 35:3385–3396. https://doi.org/10.1002/joc.4212
Eyring V, Bony S, Meehl GA, Senior CA, Stevens B, Stouffer RJ, Taylor KE (2016) Overview of the coupled model intercomparison project phase 6 (CMIP6) experimental design and organization. Geosci Model Dev 9:1937–1958. https://doi.org/10.5194/gmd-9-1937-2016
Gilgen H, Wild M, Ohmura A (1998) Means and trends of shortwave irradiance at the surface estimated from global energy balance archive data. J Clim 11:2042–2061. https://doi.org/10.1175/1520-0442(1998)011%3c2042:MATOSI%3e2.0.CO;2
Gulev SK, Thorne PW, Ahn J, Dentener FJ, Domingues CM, Gerland S, Gong D, Kaufman DS, Nnamchi HC, Quaas J, Rivera JA, Sathyendranath S, Smith SL, Trewin B, von Shuckmann K, Vose RS (2021) Changing state of the climate system. In: Masson-Delmotte Zhai P, Pirani A, Connors SL, Péan C, Berger S, Caud N, Chen Y, Goldfarb L, Gomis MI, Huang M, Leitzell K, Lonnoy E, Matthews JBR, Maycock TK, Waterfield T, Yelekçi O, Yu R, Zhou B (eds) Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge
Hakuba MZ, Sanchez-Lorenzo A, Folini D, Wild M (2013) Testing the homogeneity of short-term surface solar radiation series in Europe. In: AIP conference proceedings, pp 700–703
Hansen J, Sato M, Kharecha P, von Schuckmann K (2011) Earth’s energy imbalance and implications. Atmos Chem Phys 11:13421–13449. https://doi.org/10.5194/acp-11-13421-2011
He Y, Wang K, Feng F (2021) Improvement of ERA5 over ERA-interim in simulating surface incident solar radiation throughout China. J Clim 34:3853–3867. https://doi.org/10.1175/jcli-d-20-0300.1
Hersbach H, Dick D (2016) ERA5 reanalysis is in production. In: H H, Dee D (eds) ECMWF Newsletter, No. 147, ECMWF, Reading, United Kingdom, 7
Hersbach H, Bell B, Berrisford P, Hirahara S, Horányi A, Muñoz-Sabater J, Nicolas J, Peubey C, Radu R, Schepers D, Simmons A, Soci C, Abdalla S, Abellan X, Balsamo G, Bechtold P, Biavati G, Bidlot J, Bonavita M, Chiara G, Dahlgren P, Dee D, Diamantakis M, Dragani R, Flemming J, Forbes R, Fuentes M, Geer A, Haimberger L, Healy S, Hogan RJ, Hólm E, Janisková M, Keeley S, Laloyaux P, Lopez P, Lupu C, Radnoti G, Rosnay P, Rozum I, Vamborg F, Villaume S, Thépaut JN (2020) The ERA5 global reanalysis. Q J R Meteor Soc 146:1999–2049. https://doi.org/10.1002/qj.3803
Jones PD (1994) Hemispheric surface air temperature variations: a reanalysis and an update to 1993. J Clim 7:1794–1802. https://doi.org/10.1175/1520-0442(1994)007%3c1794:HSATVA%3e2.0.CO;2
Jones PD, New M, Parker DE, Martin S, Rigor IG (1999) Surface air temperature and its changes over the past 150 years. Rev Geophys 37:173–199. https://doi.org/10.1029/1999RG900002
Ju X, Tu Q, Li Q (2006) Homogeneity test and reduction of monthly total solar radiation over China. J Nanjing Inst Meteor 29:336–341
Karl TR, Arguez A, Huang B, Lawrimore JH, McMahon JR, Menne MJ, Peterson TC, Vose RS, Zhang H-M (2015) Possible artifacts of data biases in the recent global surface warming hiatus. Science 348:1469–1472. https://doi.org/10.1126/science.aaa5632
Kato S, Rose FG, Rutan DA, Thorsen TJ, Loeb NG, Doelling DR, Huang X, Smith WL, Su W, Ham S-H (2018) Surface irradiances of edition 4.0 clouds and the earth’s radiant energy system (CERES) energy balanced and filled (EBAF) data product. J Clim 31:4501–4527. https://doi.org/10.1175/jcli-d-17-0523.1
Kramer RJ, He H, Soden BJ, Oreopoulos L, Myhre G, Forster PM, Smith CJ (2021) Observational evidence of increasing global radiative forcing. Geophys Res Lett. https://doi.org/10.1029/2020gl091585
Li Q, Sun W, Cheng J (2020a) China global Land Surface Air Temperature, version 2.0. School of Atmospheric Sciences and Key Laboratory of Tropical Atmosphere−Ocean System, Ministry of Education, Southern Laboratory of Ocean Science and Engineering (Guangdong Zhuhai)
Li Q, Sun W, Huang B, Dong W, Wang X, Zhai P, Jones P (2020b) Consistency of global warming trends strengthened since 1880s. Sci Bull 65:1709–1712. https://doi.org/10.1016/j.scib.2020.06.009
Li Q, Sun W, Yun X, Huang B, Dong W, Wang XL, Zhai P, Jones P (2021) An updated evaluation of the global mean land surface air temperature and surface temperature trends based on CLSAT and CMST. Clim Dyn 56:635–650. https://doi.org/10.1007/s00382-020-05502-0
Lin C, Wu H, Ou T, Chen D (2019) A new perspective on solar dimming over the Tibetan Plateau. Int J Climatol 39:302–316. https://doi.org/10.1002/joc.5807
Loeb NG, Lyman JM, Johnson GC, Allan RP, Doelling DR, Wong T, Soden BJ, Stephens GL (2012) Observed changes in top-of-the-atmosphere radiation and upper-ocean heating consistent within uncertainty. Nat Geosci 5:110–113. https://doi.org/10.1038/ngeo1375
Ma Q, Wang K, Wild M (2015) Impact of geolocations of validation data on the evaluation of surface incident shortwave radiation from Earth System Models. J Geophys Res: Atmos 120:6825–6844. https://doi.org/10.1002/2014jd022572
Moseid KO, Schulz M, Storelvmo T, Julsrud IR, Olivié D, Nabat P, Wild M, Cole JNS, Takemura T, Oshima N, Bauer SE, Gastineau G (2020) Bias in CMIP6 models as compared to observed regional dimming and brightening. Atmos Chem Phys 20:16023–16040. https://doi.org/10.5194/acp-20-16023-2020
Rahimzadeh F, Sanchez-Lorenzo A, Hamedi M, Kruk MC, Wild M (2015) New evidence on the dimming/brightening phenomenon and decreasing diurnal temperature range in Iran (1961–2009). Int J Climatol 35:2065–2079. https://doi.org/10.1002/joc.4107
Ren Z, Liu N (2013) Chinese surface solar radiationdaily dataset assessment report. In: Zhihua R, Na L (eds) National Meteorological Information, China Meteorological Administration Rep
Reynolds RW, Smith TM, Peterson TC, Lawrimore J (2008) Improvements to NOAA’s historical merged land-ocean surface temperature analysis (1880–2006). J Clim 21:2283–2296. https://doi.org/10.1175/2007jcli2100.1
Romanou A, Liepert B, Schmidt G, Rossow W, Ruedy R, Zhang YJGRL (2007) 20th century changes in surface solar irradiance in simulations and observations. Geophys Res Lett 34:2007. https://doi.org/10.1029/2006GL028356
Ruckstuhl C, Philipona R, Behrens K, Collaud Coen M, Dürr B, Heimo A, Mätzler C, Nyeki S, Ohmura A, Vuilleumier L (2008) Aerosol and cloud effects on solar brightening and the recent rapid warming. Geophys Res Lett 35
Soni VK, Pandithurai G, Pai DS (2016) Is there a transition of solar radiation from dimming to brightening over India? Atmos Res 169:209–224. https://doi.org/10.1016/j.atmosres.2015.10.010
Stephens GL, Li J, Wild M, Clayson CA, Loeb N, Kato S, L’Ecuyer T, Stackhouse PW, Lebsock M, Andrews T (2012) An update on Earth’s energy balance in light of the latest global observations. Nat Geosci 5:691–696. https://doi.org/10.1038/ngeo1580
Stern DI (2006) Reversal of the trend in global anthropogenic sulfur emissions. Glob Environ Change-Human Policy Dimens 16:207–220
Storelvmo T, Heede UK, Leirvik T, Phillips PC, Arndt P, Wild M (2018) Lethargic response to aerosol emissions in current climate models. Geophys Res Lett 45:9814–9823
Streets DG, Yan F, Chin M, Diehl T, Mahowald N, Schultz M, Wild M, Wu Y, Yu C (2009) Anthropogenic and natural contributions to regional trends in aerosol optical depth, 1980–2006. J Geophys Res: Atmos. https://doi.org/10.1029/2008JD011624
Sun W, Li Q, Huang B, Cheng J, Song Z, Li H, Dong W, Zhai P, Jones P (2021) The assessment of global surface temperature change from 1850s: the C-LSAT2.0 ensemble and the CMST-interim datasets. Adv Atmos Sci 38:875–888. https://doi.org/10.1007/s00376-021-1012-3
Tang WJ, Yang K, Qin J, Cheng CCK, He J (2011) Solar radiation trend across China in recent decades: a revisit with quality-controlled data. Atmos Chem Phys 11:393–406. https://doi.org/10.5194/acp-11-393-2011
Trenberth KE (2020) Understanding climate change through Earth’s energy flows. J R Soc N Z 50:331–347. https://doi.org/10.1080/03036758.2020.1741404
Tsvetkov A, Wilcox S, Renne D, Pulscak M (1995) International solar resource data at the World Radiation Data Center. In: Wilkins-Crowder B (ed) Voeikov main geophysical observatory, russian federal service for hydrometeorology and environmental monitoring, pp 456
Wang K, Dickinson RE (2013) Contribution of solar radiation to decadal temperature variability over land. Proc Natl Acad Sci USA 110:14877–14882. https://doi.org/10.1073/pnas.1311433110
Wang Y, Wild M (2016) A new look at solar dimming and brightening in China. Geophys Res Lett 43:11777–11785. https://doi.org/10.1002/2016gl071009
Wang K, Dickinson RE, Liang S (2009) Clear sky visibility has decreased over land globally from 1973 to 2007. Science 323:1468–1470
Wang Y, Meng Z, Lyu R, Huang G, He Q, Cheng T (2020) Spatiotemporal changes of surface solar radiation: Implication for air pollution and rice yield in East China. Sci Total Environ 739:140361
Wild M (2008) Short-wave and long-wave surface radiation budgets in GCMs: a review based on the IPCC-AR4/CMIP3 models. Tellus a: Dyn Meteorol Oceanogr 60:932–945. https://doi.org/10.1111/j.1600-0870.2008.00342.x
Wild M (2009) Global dimming and brightening: a review. J Geophys Res. https://doi.org/10.1029/2008jd011470
Wild M (2012) Enlightening global dimming and brightening. Bull Am Meteor Soc 93:27–37. https://doi.org/10.1175/bams-d-11-00074.1
Wild M (2016) Decadal changes in radiative fluxes at land and ocean surfaces and their relevance for global warming. Wires Clim Change 7:91–107. https://doi.org/10.1002/wcc.372
Wild M (2020) The global energy balance as represented in CMIP6 climate models. Clim Dyn 55:553–577. https://doi.org/10.1007/s00382-020-05282-7
Wild M, Schmucki E (2011) Assessment of global dimming and brightening in IPCC-AR4/CMIP3 models and ERA40. Clim Dyn 37:1671–1688. https://doi.org/10.1007/s00382-010-0939-3
Wild M, Ohmura A, Gilgen H, Roeckner E (1995) Validation of general circulation model radiative fluxes using surface observations. J Clim 8:1309–1324. https://doi.org/10.1175/1520-0442(1995)008%3c1309:VOGCMR%3e2.0.CO;2
Wild M, Gilgen H, Roesch A, Ohmura A, Long CN, Dutton EG, Forgan B, Kallis A, Russak V, Tsvetkov A (2005) From dimming to brightening decadal changes in solar radiation at earth’s surface. Science 308:847–850. https://doi.org/10.1126/science.1103215
Wild M, Ohmura A, Makowski K (2007) Impact of global dimming and brightening on global warming. Geophys Res Lett 34(L04702):2007. https://doi.org/10.1029/2006GL028031
Wild M, Folini D, Hakuba MZ, Schär C, Seneviratne SI, Kato S, Rutan D, Ammann C, Wood EF, König-Langlo G (2015) The energy balance over land and oceans: an assessment based on direct observations and CMIP5 climate models. Clim Dyn 44:3393–3429. https://doi.org/10.1007/s00382-014-2430-z
Wild M, Ohmura A, Schär C, Müller G, Folini D, Schwarz M, Hakuba MZ, Sanchez-Lorenzo A (2017) The Global Energy Balance Archive (GEBA) version 2017: a database for worldwide measured surface energy fluxes. Earth Syst Sci Data 9:601–613. https://doi.org/10.5194/essd-9-601-2017
Wild M, Wacker S, Yang S, Sanchez-Lorenzo A (2021) Evidence for clear-sky dimming and brightening in central Europe. Geophys Res Lett. https://doi.org/10.1029/2020GL092216
Xia X (2010) A closer looking at dimming and brightening in China during 1961–2005. Ann Geophys 28:1121–1132. https://doi.org/10.5194/angeo-28-1121-2010
Xu W, Li Q, Jones P, Wang XL, Trewin B, Yang S, Zhu C, Zhai P, Wang J, Vincent L, Dai A, Gao Y, Ding Y (2018) A new integrated and homogenized global monthly land surface air temperature dataset for the period since 1900. Clim Dyn 50:2513–2536. https://doi.org/10.1007/s00382-017-3755-1
Yang S, Wang XL, Wild M (2018) Homogenization and trend analysis of the 1958–2016 in situ surface solar radiation records in China. J Clim 31:4529–4541. https://doi.org/10.1175/jcli-d-17-0891.1
You Q, Sanchez-Lorenzo A, Wild M, Folini D, Fraedrich K, Ren G, Kang S (2013) Decadal variation of surface solar radiation in the Tibetan Plateau from observations, reanalysis and model simulations. Clim Dyn 40:2073–2086. https://doi.org/10.1007/s00382-012-1383-3
Yun X, Huang B, Cheng J, Xu W, Qiao S, Li Q (2019) A new merge of global surface temperature datasets since the start of the 20th century. Earth Syst Sci Data 11:1629–1643. https://doi.org/10.5194/essd-11-1629-2019
Zhang X, Liang S, Wang G, Yao Y, Jiang B, Cheng J (2016) Evaluation of the reanalysis surface incident shortwave radiation products from NCEP, ECMWF, GSFC, and JMA using satellite and surface observations. Remote Sens 8:225–248. https://doi.org/10.3390/rs8030225
Acknowledgements
This study is supported by the Natural Science Foundation of China (Grant: 41975105) and the National Key R&D Program of China (Grant: 2018YFC1507705; 2017YFC1502301). The Global Energy Balance Archive (GEBA) is co-funded by the Federal Office of Meteorology and Climatology MeteoSwiss within the framework of GCOS Switzerland. Global dimming and brightening research at ETH Zurich is supported by the Swiss National Science Foundation (Grant No. 200020 188601).
Funding
This work was funded by Natural Science Foundation of China (Grant no: 41975105); National Key R&D Program of China (Grant nos: 2018YFC1507705, 2017YFC1502301); Swiss National Science Foundation (Grant no: 200020 188601).
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Boyang Jiao: Software, Data curation, Writing- Original draft preparation, Visualization, Investigation. Qingxiang Li: Methodology, Supervision, Conceptualization, Validation, Writing—Review and Editing. Wenbin Sun: Software, Data curation. Wild Martin: Writing—Review and Editing.
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Jiao, B., Li, Q., Sun, W. et al. Uncertainties in the global and continental surface solar radiation variations: inter-comparison of in-situ observations, reanalyses, and model simulations. Clim Dyn 59, 2499–2516 (2022). https://doi.org/10.1007/s00382-022-06222-3
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DOI: https://doi.org/10.1007/s00382-022-06222-3


