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The daily values of UVB irradiation (290–315 nm), IUVB, and the broadband total irradiation (300–2800 nm), IT, measured on a horizontal plane have been correlated for the period 2000–2008 at 16 measurement sites in Spain. The results have been compared with the daily experimental values registered at the same sites during the period 2009–2011. The coefficients of determination R2 obtained by applying a linear regression are higher than 0.88 for all sites and increase to 0.94 when using a quadratic regression. When all data are considered together, the values of R2 are 0.91 and 0.97 for the linear and quadratic regressions, respectively. Three different clearness indices, which are dimensionless parameters, have been also used in order to reduce the uncertainties of the estimations and to reduce the local nature of the coefficients: (1) the UVB clearness index, kTUVB = IUVB/I0UVB; (2) the modified UVB clearness index, k′TUVB and (3) the estimated UVB clearness index, k*TUVB. The results show a strong dependence on the solar zenith angle. The bi-dimensional regression of kTUVB as a function of the solar zenith angle and the clearness index, kT, substantially improves the correlation, with R2 values higher than 0.81 for all sites. Finally, a formula relating kTUVB and kT, valid for latitudes between 36°N and 44°N, has been obtained: kTUVB = 0.064 kT – 0.0011 θz – 1.24 E-05 ϕ + 7.6 E-05 λ + 0.063, where θz represents the solar zenith angle (in degrees), ϕ is the latitude (in degrees) of the site and λ is the distance to the sea (in km). We have compared the experimental values for the period 2009–2011 with those estimated using this expression. For this, the coefficient of determination (R2) is 0.87, with a MBD of –3.4%, a RMSE of 21% and a NRMSE of 8.7%.

Ultraviolet erythemal radiation (UVER) values have been simulated for different values of column ozone and aerosol optical depth (AOD) using a multiple scattering model: SBDART. The results show that UVER decreased when atmospheric ozone and aerosols increased, with the ozone having greater influence than AOD. To quantify these dependencies the influence of aerosols on the simulated values of UVER has been analysed for different ozone values. This dependence was linear. Similarly, to quantify the influence of ozone on the UVER values this was simulated for fixed values of AOD while varying the column ozone. The expression of this dependence was found to be a second-order polynomial. We also analysed the dependence of the experimental UVER values on the total column ozone and the AOD at 500 nm. Daily values of UVER were used, normalized with respect to a reference value. It was seen that the modified clearness index, k*tUVER, decreased as the total column ozone increased and also as the 500 nm AOD increased. These linear relationships were obtained and were found to be of the same order for the different intervals of AOD and for those total column ozone intervals for which the greater number of experimental data were available. At the same time, the relations between the modified UVER clearness index and the ozone, as between the modified clearness index and the AOD, showed an annual pattern. Finally, an expression was found to represent the combined dependence of the modified UVER clearness index, k*tUVER, on ozone and aerosols. Copyright © 2009 Royal Meteorological Society