Abstract
Six commonly used models for calculating daily net radiation were tested against measured net radiation. Meteorological data from 32 and 7 consecutive years obtained at two temperate sites were used. The extensive duration of the datasets ensured that all weather conditions and extreme events were captured. A set of statistical procedures was used to evaluate the performance of the models. The mean bias errors ranged from 0.0 W m−2 to 24.8 W m−2 and 0.1–24.7 W m−2 and root mean square error from 11.0 W m−2 to 28.1 W m−2 and 10.0–27.9 W m−2 at the two sites respectively, for days without snow cover on the ground. The best agreement was found when locally calibrated model coefficients were used. Only negligible differences in model performances were found between the two sites and the differences were lower than the inaccuracies of the net radiation instruments used. Including days with snow cover in the analysis lead to a slight increase in the bias and scatter of the predictions. Model performances were in general better during summertime than wintertime. Altered albedo values during winter caused by generally low sun angles were likely the cause of this. Analysis showed that at least 5 years of data were needed to obtain stable calibration coefficients for local calibration of the models. Based on the results from this study, and due to their physical background, two physical based models were recommended for calculating daily values of net radiation under temperate climate regimes. A simple adjustment of the calibration coefficients based on climate regime was suggested for these models.
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Alados I, Foyo-Moreno I, Olmo FJ, Alados-Arboledas L (2003) Relationship between net radiation and solar radiation for semi-arid shrub-land. Agric For Meteorol 116:221–227
Allen RG (1996) Assessing integrity of weather data for reference evapotranspiration estimation. J Irr Drain Eng 122:97–106
Allen RG, Pereira LS, Raes, D, Smith M (1998) Crop evapotranspiration. Guidelines for computing crop water requirements, FAO irrigation and drainage paper 56, Food and Agriculture Organization of the United Nations, Rome, 300 pp.
Aslyng HC (1974) Evapotranspiration and plant production directly related to global radiation. Nor Hydrol 5:247–256
Brunt D (1932) Notes on radiation in the atmosphere. Quart J Roy Meteorol Soc 58:389–418
Brutsaert W (1975) On a derivable formula for long-wave radiation from clear skies. Water Resour Res 11:742–744
Brutsaert W (1982) Evaporation into the atmosphere. D. Reidel Publishing Company, Dordrecht, 299 pp
Coulson KL (1975) Solar and terrestrial radiation. Academic Press, New York, 322 pp
Der G, Everitt BS (2002) A handbook of statistical analyses using SAS. Chapman & Hall, Florida, 360 pp
Dong A, Grattan SR, Carrol JJ, Prashar CRK (1992) Estimation of daytime net radiation over well-watered grass. J Irr Drain Eng 118:466–479
Doorenbos J, Pruitt WO (1977) Guidelines for predicting crop water requirements, FAO irrigation and drainage paper 24. Food and Agriculture Organization of the United Nations, Rome, 179 pp.
FAO (1990) Annex V. FAO Penman-Monteith formula. Report. Food and Agriculture Organization of the United Nations, Rome, 24 pp.
Fritschen LJ (1967) Net and solar radiation relations over irrigated field crops. Agric Meteorol 4:55–62
Halldin S, Lindroth A (1992) Errors in net radiometry: comparison and evaluation of six radiometer designs. J Atmos Oceanic Techn 9:762–783
Hansen S, Jensen SE, Aslyng HC (1981) Agricultural meteorological observations. Statistical analysis og evaluation 1955–1979. Report. The Royal Veterinary and Agricultural University, Copenhagen, 414 pp (in Danish with English summary).
Hansen S (2000) Markvandsbalance, Appendix A: Estimation of net radiation. Technical note. The Royal Veterinary and Agricultural University, Copenhagen, 28 pp.
Idso SB (1968) An analysis of the heating coefficient concept. J Appl Meteorol 7:716–717
Irmak S, Irmak A, Jones JW, Howell TA, Jacobs JM, Allen RG, Hooganboom G (2003) Predicting daily net radiation using minimum climatological data. J Irr Drain Eng 129(4):256–269
Iziomon MG, Mayer H (2002) On the variability and modeling of surface albedo and long-wave radiation components. Agric For Meteorol 111:141–152
Jensen ME, Burman RR, Allen RG (1990) Evapotranspiration and irrigation water requirements. ASCE, New York, 332 pp
Jensen SE (1996) Agroclimate at Taastrup. Jordbrugsforlaget Publishers, Copenhagen, 233 pp
Kaminsky KZ, Dubayah R (1997) Estimation of surface net radiation in the boreal forest and northern prairie from shortwave flux measurements. J Geophys Res 102(D24):29707–29716
Kessler A, Jaeger L (1999) Long-term changes in net radiation and its components above a pine forest and a grass surface in Germany. Int J Climatol 19:211–226
Kjaersgaard JH, Plauborg FL, Hansen S (2006) Comparison of models for calculating daytime long-wave irradiance using long term data set. Agric For Meteorol. DOI 10.1016/j.agrformet.2006.11.007
Llasat MC, Snyder RL (1998) Data error effects on net radiation and evapotranpiration estimation. Agric For Meteorol 91:209–221
Loague K, Green RE (1991) Statistical and graphical methods for evaluating solute transport models: overview and application. J Contam Hydrol 7:51–73
Monteith JL (1973) Principles of environmental physics. Edward Arnold, London, 241 pp
Monteith JL, Szeicz G (1961) The radiation balance of bare soil and vegetation. Quart J Roy Meteorol Soc 87:159–170
Monteith JL, Unsworth MH (1990) Principles of environmental physics. Edward Arnold, London, 291 pp
Nandagiri L, Kovoor GC (2005) Sensitivity of the Food and Agriculture Organization Penman- Monteith evapotranspiration estimates to alternative procedures for estimation of parameters. J Irr Drain Eng 131(3):238–248
Ohmura A, Dutton EG, Forgan B, Fröhlich C, Gilgen H, Hegner H, Heimo A, König-Langlo G, McArthur B, Müller G, Philipona R, Pinker R, Whitlock CH, Dehne K, Wild M (1998) Baseline surface radiation network (BSRN/WCRP): new precision radiometry for climate research. Bull Amer Meteorol Soc 79:2115–2136
Penman HL (1948) Natural evaporation from open water, bare soil and grass. Proc Roy Soc London A 93:120–145
Philipona R, Fröhlich C, Betz C (1995) Characterization of pyrgeometers and the accuracy of atmospheric long-wave radiation measurements. Appl Optics 34:1598–1605
Plauborg F, Jensen T (1998) Moderniseret automatisk meteorologisk målestation ved Forskningscenter Foulum. Report 102, Danish Institute of Agricultural Sciences, Foulum, 38 pp (in Danish with English summary)
Shaw RH (1956) A comparison of solar radiation and net radiation. Bull Amer Meteorol Soc 37: 205–206
Vereecken H, Jansen EJ, Hack-ten Broeke MJD, Swerts M, Engelke R, Fabrewiz F, Hansen S (1991) Comparison of simulation results of five nitrogen models using different data sets. Soil and Groundwater Research Report II: Nitrate in Soils. Final report of contracts EV4V-0098-NL and EV4V-00107-C, Commission of the European Communities, 321–338, 320 pp.
Wright JL, Jensen ME (1972) Peak water requirements of crops in Southern Idaho. J Irr Drain Div 96:193–201
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Kjaersgaard, J.H., Cuenca, R.H., Plauborg, F.L. et al. Long-term comparisons of net radiation calculation schemes. Boundary-Layer Meteorol 123, 417–431 (2007). https://doi.org/10.1007/s10546-006-9151-8
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DOI: https://doi.org/10.1007/s10546-006-9151-8