Theoretical and Applied Climatology

, Volume 102, Issue 1–2, pp 227–241 | Cite as

Evaluation of atmospheric thermal radiation algorithms for daylight hours

Original Paper

Abstract

Existing simple but theoretically based clear-sky models for longwave down-welling radiation (LDRc) and cloud impact algorithms transforming them to all-sky radiation (LDR) are checked against locally calibrated empirical algorithms. They are evaluated for daylight hours based on measurements in regionally differing climates of Germany. The Prata clear-sky scheme is additionally tested with adjusted coefficients so that LDRc converges against a realistic emissivity for a completely dry atmosphere. This version is characterised by an improved modelled variance. Compared with locally calibrated schemes, bias and root mean square error (RMSE) of the more theoretical clear-sky schemes do not differ significantly and yield even better results at a mountain site. In contrast, the locally calibrated algorithms yield biases up to 9% and an increase in RMSE between 6% and 67%, if applied for other sites. For daylight hours, the cloud impact on LDR can be calculated via the ratio of observed to clear-sky global irradiation (CMFsol). With CMFsol, the Crawford and Duchon scheme reveals the lowest bias and a decrease in RMSE by 22% against the next best performing algorithms. Compared with synoptic cloud observations as input, the bias is reduced by 9 to 28 W m−2 and the scattering of the residuals decreases by 20% to 30%. Based on published results for also non-European sites, it is inferred that the more theoretically based LDRc schemes and cloud impact evaluated via CMFsol are universally applicable and perform at least in the order of magnitude of locally calibrated empirical algorithms.

References

  1. ASHRAE (2001) ASHRAE handbook: fundamentals, 8. American Society of Heating and Air-Conditioning Engineers, AtlantaGoogle Scholar
  2. Bolz HM (1949) Die Abhängigkeit der infraroten Gegenstrahlung von der Bewölkung. Z Meteorol 7:201–203Google Scholar
  3. Brunt D (1932) Notes on radiation in the atmosphere. Q J R Meteorol Soc 58:389–418CrossRefGoogle Scholar
  4. Brutsaert W (1975) On a derivable formula for long-wave radiation from clear skies. Water Resour Res 11:742–744CrossRefGoogle Scholar
  5. Choi M, Jacobs JM, Kustas W (2008) Assessment of clear and cloudy sky parameterizations for daily downwelling longwave radiation over different land surfaces in Florida, USA. Geophys Res Lett 35:L20402. doi:10.1029/2008GL035731 CrossRefGoogle Scholar
  6. Crawford TM, Duchon CE (1999) An improved parameterization for estimating effective atmospheric emissivity for use in calculating daytime downwelling longwave radiation. J Appl Meteorol 38:474–480CrossRefGoogle Scholar
  7. Culf AD, Gash JHC (1993) Longwave radiation from clear skies in Niger: a comparison of observations with simple formulas. J Appl Meteorol 32:539–547CrossRefGoogle Scholar
  8. Czeplak G, Kasten F (1987) Parametrisierung der atmosphärischen Wärmestrahlung bei bewölktem Himmel. Meteor Rdschau 40:184–187Google Scholar
  9. Deardorff JW (1978) Efficient prediction of ground surface temperature and moisture, with an inclusion of a layer of vegetation. J Geophys Res 83:1889–1903CrossRefGoogle Scholar
  10. Degünther M, Meerkötter R, Albold A, Seckmeyer G (1998) Case study on the influence of inhomogeneous surface albedo on UV irradiance. Geophys Res Lett 25:3587–3590CrossRefGoogle Scholar
  11. Dilley AC, O’Brien DM (1998) Estimating downward clear sky long-wave irradiance at the surface from screen temperature and precipitable water. Q J R Meteorol Soc 124:1391–1401CrossRefGoogle Scholar
  12. Duarte HF, Dias NL, Maggioto SR (2006) Assessing daytime downward longwave radiation estimates for clear and cloudy skies in southern Brazil. Agric For Meteorol 139:171–181CrossRefGoogle Scholar
  13. Geiger R (1961) Das Klima der bodennahen Luftschicht. Friedr. Vieweg & Sohn, BraunschweigGoogle Scholar
  14. Gröbner J, Wacker S, Vuilleumier L, Kämpfer N (2009) Effective atmospheric boundary layer temperature from longwave radiation measurements. J Geophys Res 114:D19116. doi:10.1029/2009JD012274 CrossRefGoogle Scholar
  15. Gueymard CA, Myers DR (2009) Evaluation of conventional and high-performance routine solar radiation measurements for improved solar resources, climatological trends, and radiative modelling. Sol Energy 83:171–185CrossRefGoogle Scholar
  16. Hatfield JL, Reginato RJ, Idso SB (1983) Comparison of longwave radiation calculation methods over the United States. Water Resour Res 19:285–288CrossRefGoogle Scholar
  17. Heitor A, Biga AJ, Rosa R (1991) Thermal radiation components of the energy balance at the ground. Agric For Meteorol 53:29–48CrossRefGoogle Scholar
  18. Höppe P (1999) The physiological equivalent temperature—a universal index for the biometeorological assessment of the thermal environment. Int J Biometeorol 43:71–75CrossRefGoogle Scholar
  19. Idso SB (1981) A set of equations for full spectrum and 8 μm to 14 μm and 10.5 μm to 12.5 μm thermal-radiation from cloudless skies. Water Resour Res 17:295–304CrossRefGoogle Scholar
  20. Iziomon MG, Mayer H, Matzarakis A (2003) Downward atmospheric longwave irradiance under clear and cloudy skies: measurement and parameterization. J Atmos Sol Terr Phys 65:1107–1116CrossRefGoogle Scholar
  21. Jacobs JD (1978) Radiation climate of Broughton Island. In: Barry RG, Jacobs JD (eds) Energy budget studies in relation to fast-ice breakup processes in Davis Street. Institute of Arctic and Alpine Research Occasional Papers No. 26. University of Colorado, Boulder, pp 105–120Google Scholar
  22. Jendritzky G, Schirmer H, Menz G, Schmidt-Kessen W (1990) Methode zur raumbezogenen Bewertung der thermischen Komponente im Bioklima des Menschen (Fortgeschriebenes Klima-Michel-Modell). Akad Raumforschung Landesplanung, Beiträge, Hannover, 114Google Scholar
  23. Jendritzky G, Maarouf A, Fiala D, Staiger H (2002) An update on the development of a Universal Thermal Climate Index. 15th Conference on Biometeorology and Aerobiology and 16th ICB02, 27 Oct–1 Nov 2002, Kansas City, AMS, pp 129–133Google Scholar
  24. Jimenez JI, Alados-Arboledas L, Castro-Diez Y, Ballester G (1987) On the estimation of long-wave radiation flux from clear skies. Theor Appl Climatol 38:37–42CrossRefGoogle Scholar
  25. Kjaersgaard JH, Plauborg FL, Hansen S (2007) Comparison of models for calculating daytime long-wave irradiance using long term data set. Agric For Meteorol 143:49–63CrossRefGoogle Scholar
  26. Konzelmann T, van der Wal RSW, Feuell W, Bintanja R, Henneken EAC, Abe-Ouchi A (1994) Parameterization of global and longwave incoming radiation for the Greenland ice sheet. Glob Planet Change 9:143–164CrossRefGoogle Scholar
  27. Long CN, Turner DD (2008) A method for continuous estimation of clear-sky down-welling longwave radiative flux developed using ARM surface measurements. J Geophys Res 113:D18206. doi: 101029/2008JD009936CrossRefGoogle Scholar
  28. Martin M, Berdahl P (1984) Characteristics of infrared sky radiation in the United States. Sol Energy 33:321–336CrossRefGoogle Scholar
  29. Matzarakis A, Rutz F, Mayer H (2007) Modelling radiation fluxes in simple and complex environments—application of the RayMan model. Int J Biometeorol 51:323–334CrossRefGoogle Scholar
  30. Matzarakis A, Rutz F, Mayer H (2009) Modelling radiation fluxes in simple and complex environments: basics of the RayMan model. Int J Biometeorol. doi:10.1007/s00484-009-0261-0
  31. Maykuk GA, Church P (1973) Radiation climate of Barrow, Alaska. J Appl Meteorol 12:620–628CrossRefGoogle Scholar
  32. Niemelä S, Raisanen P, Savijarvi H (2001) Comparison of surface radiative flux parameterizations, part I: long-wave radiation. Atmos Res 58:1–18CrossRefGoogle Scholar
  33. Prata AJ (1996) A new long-wave formula for estimating downward clear-sky radiation at the surface. Q J R Meteorol Soc 122:1127–1151CrossRefGoogle Scholar
  34. Press HW, Teukolsky SA, Vetterling WT, Flannery BP (1996) Numerical recipes in Fortran 77: the art of scientific computing, 2nd edn. Cambridge University Press, CambridgeGoogle Scholar
  35. Reitan CH (1963) Surface dewpoint and water vapour aloft. J Appl Meteorol 2:776–779CrossRefGoogle Scholar
  36. Remund J, Wald L, Lefevre M, Ranchin T (2003) Worldwide Linke turbidity information. Proceedings of ISES Solar World Congress, 16–19 June 2003, CD-ROM. International Solar Energy Society, GöteborgGoogle Scholar
  37. Rigollier C, Bauer O, Wald L (2000) On the clear sky model of the ESRA—European Solar Radiation Atlas—with respect to the HELIOSAT method. Sol Energy 68:33–48CrossRefGoogle Scholar
  38. Ruckstuhl C, Philipona R, Morland J, Ohmura A (2007) Observed relationship between surface specific humidity, integrated water vapour, and longwave downward radiation at different altitudes. J Geophys Res 112:D03302. doi:10.1029/2006JD007850 CrossRefGoogle Scholar
  39. Satterlund DR (1979) An improved equation for estimating longwave radiation from the atmosphere. Water Resour Res 15:1649–1650CrossRefGoogle Scholar
  40. Scharmer K, Greif J (eds) (2000) The European Solar Radiation Atlas. Vol. 2: database, models and exploitation software. École des Mines de Paris, France, pp 1–296Google Scholar
  41. Schmetz P, Schmetz J, Raschke E (1986) Estimation of daytime downward longwave radiation at the surface from satellite and grid point data. Theor Appl Climatol 37:136–149CrossRefGoogle Scholar
  42. Schulze R (1970) Strahlenklima der Erde. Steinkopff, Darmstadt, p 217CrossRefGoogle Scholar
  43. Schwander H, Kaifel A, Ruggaber A, Koepke P (2001) Spectral radiative transfer modeling with minimized computation time by use of neural-network technique. Appl Opt 40:331–335CrossRefGoogle Scholar
  44. Skartveit A, Olseth JA, Czeplak G, Rommel M (1996) On the estimation of atmospheric radiation from surface meteorological data. Sol Energy 56:349–359CrossRefGoogle Scholar
  45. Sridhar V, Elliott RL (2002) On the development of a simple downwelling longwave radiation scheme. Agric For Meteorol 112:237–243CrossRefGoogle Scholar
  46. Swinbank WC (1963) Long-wave radiation from clear skies. Q J R Meteorol Soc 89:339–348CrossRefGoogle Scholar
  47. Taylor KE (2001) Summarizing multiple aspects of model performance in a single diagram. J Geophys Res 106(D7):7183–7192CrossRefGoogle Scholar
  48. VDI (1994) VDI guideline 3789/part 2, environmental meteorology, interactions between atmosphere and surfaces. Calculation of short- and long-wave radiation. VDI-Handbuch, Reinhaltung der Luft Band 1. Beuth, BerlinGoogle Scholar
  49. VDI (2008) VDI guideline 3787/part 2, environmental meteorology, methods of the human biometeorological evaluation of climate and air quality for urban and meteorological planning at regional level, part I: climate. VDI/DIN Hanbuch Reinhaltung der Luft, Band 1b. Beuth, BerlinGoogle Scholar

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.German Meteorological Service (emeritus)ElzachGermany
  2. 2.Meteorological InstituteAlbert-Ludwigs-Universität FreiburgFreiburgGermany

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