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An empirical model of erythemal ultraviolet radiation in the city of Valencia, Spain

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Abstract

This paper presents an improved empirical model that predicts ultraviolet erythemal radiation (UVER) and considers all aspects of atmospheric conditions in Valencia, Spain. The analyzed model is a potential function whose dependent variable is UVER radiation and independent variables are the clearness index and slant ozone column. A potential regression function with all the information contributed a small coefficient of determination and one chose to use a regression potential-exponential mathematical form which improved the coefficient of similar determination. A study was carried out on the influence of season on the regression parameters. This was found to be considerable due to the clearness index. The convergence between the values calculated by the model and the experimental values was analyzed using the mean bias error (MBE) and mean absolute bias error (MABE) statistical parameters. The clearness index and ozone column intervals were analyzed and found to give an improved prediction of the UVER clearness index using regression analysis. Also, a sensitivity analysis was performed on the regression coefficients and parameters. It is important to study the effects of UVER radiation predicted by the model on human health or on agriculture crop growth and yield.

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References

  1. W. Gao, D. L. Schmoldt and J. Slusser, UV radiation in global climate change. Measurements, modeling and effects on ecosystems, Tsinghua University Press, Beijing, 2010

    Book  Google Scholar 

  2. I. Foyo-Moreno, J. Vida and L. Alados-Arboledas A simple all weather model estimate of ultraviolet solar radiation (290-385 nm) J. Appl. Meteorol. 1998 38 1020–1026

    Article  Google Scholar 

  3. ASTM, Standard constant and air mass zero solar spectral irradiance tables, American Society for Testing and Materials, 1973, p. 6

    Google Scholar 

  4. CIE, International Lighting Vocabulary, Commission Internationale de l’Eclairage, 4th edn, 1987, pp. 379

    Google Scholar 

  5. A. F. McKinlay and B. L., Diffey, A reference spectrum for ultraviolet induced erythema in human skin CIE J. 1998 6 17–22

    Google Scholar 

  6. S. D. Al-Aruri The empirical relationship between global radiation and global ultraviolet (0.290-0.385) mm solar radiation components Sol. Energy 1990 45 61–64

    Article  Google Scholar 

  7. W. Murillo, J. Cañada and G. Pedrós Correlation between global ultraviolet (290-385 nm) and global irradiation in Valencia and Córdoba (Spain) Renewable Energy 2003 28 409–418

    Article  Google Scholar 

  8. J. A. Martínez-Lozano, F. Tena and M. P., Utrillas, Measurements and analysis of ultraviolet solar irradiation in Valencia Int. J. Climatol. 1998 16 947–955

    Article  Google Scholar 

  9. J. M. Elwood and J., Jopson, Melanoma and sun exposure: an overview of published studies Int. J. Cancer 1997 73 198–203

    Article  CAS  PubMed  Google Scholar 

  10. M. F., Holick, Vitamin D: importance in the prevention of cancers, type diabetes, heart disease, and osteoporosis Am. J. Clin. Nutr. 2004 79 362–371

    Article  CAS  PubMed  Google Scholar 

  11. L. T. Molina and M. J., Molina, Absolute absorption cross section of ozone in the 185-350 nm wavelength range J. Geophys. Res. 1986 91 14501

    Article  CAS  Google Scholar 

  12. D. M. Stam, I. Aben and F., Helderman, Skylight polarization spectra: numerical simulation of the Ring effect J. Geophys. Res. 2002 107 D20 4419

    Article  Google Scholar 

  13. I. Alados, J. A. Mellado, F. Ramos and L. Alados-Arboledas Estimating UV erythemal irradiance by means of neural networks Photochem. Photobiol. 2004 80 2 351–358

    Article  CAS  PubMed  Google Scholar 

  14. J. R., Herman, Global increase in UVB during the past 30 years 1979 to 2008 J. Geophys. Res. 2009 114 DO1201

    Google Scholar 

  15. A. Lindfors, J. Kaurola, A. Arola, T. Koskela, K. Lakkala, W. Josefsson, J. A. Olseth and B., Johnsen, A method for reconstruction of past UV radiation based on radiative transfer modeling: applied to four stations in northern Europe J. Geophys. Res. 2007 112 D23 3781–3792

    Google Scholar 

  16. A., Lindfors, Long-term erythemal UV doses at Sodankyla estimated using total ozone, sunshine duration, and snow dept J. Geophys. Res. 2003 108 D16 4518

    Article  Google Scholar 

  17. J. Reuder and P., Koepke, Reconstruction of UV radiation over Southern Germany for the past decades Meteorol. Z. 2005 14 2 237–246

    Article  Google Scholar 

  18. J. A. Martínez-Lozano, F. Tena and M. P., Utrillas, Ratio of UV to Global broad band irradiation in Valencia, Spain Int. J. Climatol. 1999 19 903–911

    Article  Google Scholar 

  19. A. Bias, C. Zerefos, C. Meleti, I. Ziomas and K., Tourpali, Spectral measurements of solar UVB radiation and its relation to total ozone, SO, and clouds J. Geophys. Res. 1993 98 5199–5204

    Article  Google Scholar 

  20. J. Cañada, G. Pedrós, A. López and J. V. Boscà Influences of the clearness index for the whole spectrum and of the relative optical air mass on UV solar irradiance for two locations in the Mediterranean area, Valencia and Córdoba J. Geophys. Res. 2000 105 4799–4803

    Google Scholar 

  21. S. Díaz, G. Deferrari, D. Martinioni and A., Oberto, Regression analysis of biologically effective integrated irradiances versus ozone, clouds and geometric factors J. Atmos. Sol.-Terr. Phys. 2000 62 629–638

    Article  Google Scholar 

  22. A. De La Casinière, M. Toure, D. Masserot, T. Cabot and J. L., Pinedo, Daily doses of biologically active UV radiation retrieved from commonly available parameters Photochem. Photobiol. 2000 4766

    Google Scholar 

  23. I. Foyo-Moreno, I. Alados and L. Alados-Arboledas Adaptation of an empirical model for erythemal ultraviolet irradiance Ann. Geophys. 2007 25 1499–1508

    Article  Google Scholar 

  24. D. Mateos Villán, A. de Miguel Castrillo and J. Bilbao Santos Empirical models of UV total radiation and cloud effect study Int. J. Climatol. 2010 1407–1415

    Google Scholar 

  25. K. Láska, P. Prosek, L. Budik, M. Budikova and G., Milinevsky, Prediction of erythemally effective UVB radiation by means of nonlinear regression model Environmetrics 2009 20 6 633–646

    Article  CAS  Google Scholar 

  26. M. Allaart, M. van Weele, P. Fortuin and H., Kelder, An empirical model to predict the UV index based on solar zenith angles and total ozone Meteorol. Appl. 2006 11 1 59–65

    Article  Google Scholar 

  27. N. A. Krzyscin, J. Jaroslawski and P. S., Sobolewski, Effects of clouds on the surface erythemal UV-B irradiance at northern midlatitudes: estimation from the observations taken at Belsk, Poland (1999-2001) J. Atmos. Sol.-Terr. Phys. 2003 65 4 457–467

    Article  Google Scholar 

  28. A. Parisi, J. Sabburg and M. G. Kimlin, Scattered and filtered solar UV measurements, Kluwer Academic Publishers, Dordrecht, 2004

    Book  Google Scholar 

  29. M. Nuñez, M. J. Marín, M. P. Utrillas, V. Estellés and J. A. Martínez-Lozano Incorporation of aerosol effects in a clear sky semi-empirical model of UVER radiation for Valencia, Spain Int. J. Climatol. 2011 31 937–948

    Article  Google Scholar 

  30. M. Antón, A. Serrano, M. L. Cancillo and J. A. García An empirical model to estimate ultraviolet erythemal transmissivity Ann. Geophys. 2009 27 1387–1398

    Article  Google Scholar 

  31. B. K. Dichter, A. F. Beaubien and D. J., Beaubien, Development and characterization of a new solar ultraviolet-B irradiance detector J. Atmos. Oceanic Technol. 1993 10 337–344. Copyright 2010 Royal Meteorological Society, Int. J. Climatol., 2010

    Article  Google Scholar 

  32. J. M. Vilaplana, V. E. Cachorro, M. Sorribas, E. Luccini, A. M. de Frutos, A. Berjón and B. de la Morena Modified calibration procedures for yankee environmental system UVB-1 biometer based on spectral measurements with a brewer spectrophotometer Photochem. Photobiol. 2006 82 508–514

    Article  CAS  PubMed  Google Scholar 

  33. R. D. McPeters, P. K. Bhartia, A. J. Krueger, J. R. Herman, C. G. Wellemeyer, C. J. Seftor, G. Jaross, O. Torres, L. Moy, G. Labow, W. Byerly, S. L. Taylor, T. Swissler and R. P. Cebula, Earth Probe Total Ozone Mapping Spectrometer (TOMS) Data Products User Guide. NASA. Technical Report No. TP-1998-206895, 1998

    Google Scholar 

  34. R. D. Piacentini, E. Crino, J. Sirur Flores and M., Ginzburg, Intercomparison between ground based and TOMS/EP satellite southern hemisphere ozone data. New results Adv. Space Res. 2002 29 1643–1648

    Article  CAS  Google Scholar 

  35. V. E. Fioletov, G. Labow, R. Evans, E. W. Hare, U. Köhler, C. T. McElroy, K. Miyagawa, A. Redondas, V. Savastiouk, A. M. Shalamyansky, J. Staehelin, K. Vanicek and M., Weber, Performance of the ground based total ozone network assessed using satellite data J. Geophys. Res. 2008 113 D14313

    Article  CAS  Google Scholar 

  36. H. Liu and R. C., Jordan, The interrelationship and characteristic distribution of direct, diffuse and total solar radiation Sol. Energy 1960 4 1–19

    Article  Google Scholar 

  37. L. Alados-Arboledas, I. Alados, I. Foyo-Moreno, F. J. Olmo and A. Alcántara The influence of clouds on surface UV erythemal irradiance Atmos. Res. 2003 66 273–290

    Article  Google Scholar 

  38. M. Antón, E. KouKouli, M. Kroon, R. D. McPeters, G. J. Labow, D. Balis and A., Serrano, Global validation of empirically corrected EP-Total Ozone Mapping Spectrometer (TOMS) total ozone columns using Brewer and Dobson ground-based measurements J. Geophys. Res. 2010 115 D19305

    Article  Google Scholar 

  39. N. A. Krotkov, J. Herman, P. K. Barthia, C. Seftor, A. Arola, J. Kaurola, P. Taalas and A. Vasilkov, Clouds, and surface UV irradiance, in OMI Algorithm Theoretical Basis Document, vol. III, ATBD-OMI-03, ed. P. Stammes, NASA Goddard Space Flight Cent., Greenbelt, MD, 2002, pp. 72-109, available at: http://www.knmi.com/omi/documents/data/ OMI ATBD Volume 3 V2.pdf

    Google Scholar 

  40. N. A. Krotkov, P. K. Barthia, J. R. Herman, J. Slusser, G. Scott, G. Labow, A. P. Vasilkov, T. F. Eck, O. Dubovik and B. N., Holben, Aerosol ultraviolet absorption experiment (2000 to 2004), part 2: absorption optical thickness, refractive index, and single scattering albedo Opt. Eng. 2005 44 4 041005

    Article  Google Scholar 

  41. A. Tanskanen, A. Lindfors, A. Maatta, N. Krotkov, J. Herman, J. Kaurola, T. Koskela, K. Lakkala, V. Fioletov, J. Bernhard, R. McHenzie, Y. Kondo, M. O’Neill, H. Slaper, P. den Outer, A. F. Bais and J., Tamminen, Validation of daily erythemal doses from OMI with ground-based UV measurement data J. Geophys. Res. 2007 112 D24S44

    Google Scholar 

  42. O. Torres, A. Tanskanen, B. Veihelmann, C. Ahn, R. Braak, P. K. Bhartia, P. Veefkind and P., Levelt, Aerosols and surface UV products from Ozone Monitoring Instrument observations: an overview J. Geophys. Res. 2007 112 D24S47

    Google Scholar 

  43. F. Tena, J. A. Martínez-Lozano, M. P. Utrillas, M. J. Marín, A. R. Esteve and J. Cañada The erythemal clearness index for Valencia, Spain Int. J. Climatol. 2009 29 147–155

    Article  Google Scholar 

  44. T. N. E., Greville, The pseudoinverse of a rectangular or singular matrix and its application to the solution of systems of linear equations SIAM Rev. 1959 1 1 38–43

    Article  Google Scholar 

  45. A. Serrano, M. Antón, M. L. Cancillo and J. A. García Proposal of a new erythemal UV radiation amplification factor Atmos. Chem. Phys. Discuss. 2008 8 1089–1111

    Google Scholar 

  46. A. R. Esteve, J. A. Martínez-Lozano, M. J. Marín, V. Estellés, F. Tena and M. P., Utrillas, The influence of ozone and aerosol on the experimental values of UV erythemal radiation at ground level in Valencia Int. J. Climatol. 2009 29 2171–2182

    Article  Google Scholar 

  47. K. R. Reddy, V. G. Kakani and H. F. Hodges, Exploring the use of environmental productivity index concept for crop production and modeling, in Recent Advances in understanding and modeling of water stress effects on plants growth processes, ed. L. H. Ahuja, V. R. Reddy, S. A. Saseendran and Q. Yu, Crop Science Society of America, Madison, WI, 2009, pp. 387-410

    Google Scholar 

  48. Z. Li, H. G. Leighton, K. Masuda and T., Takashima, Estimation of SW flux absorbed at the surface from TOA reflected flux J. Clim. 1993 6 2 317–330

    Article  Google Scholar 

  49. J. Cañada, G. Pedrós and J. V. Boscà Relationship between UV (290-382 nm) and broadband solar radiation hourly values in Valencia and Cordoba, Spain Energy 2003 28 199–217

    Article  Google Scholar 

  50. L. Ramirez, J. Polo, L. Mora, M. Sidrach de Cardona and J., Blanco, Fuzzy inference system applied to the daily ultraviolet radiation evaluation (295-385 nm) from daily global radiation Sol. Energy 2003 75 6 447–454

    Article  Google Scholar 

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Moreno, J.C., Serrano, M.A., Lorente, M. et al. An empirical model of erythemal ultraviolet radiation in the city of Valencia, Spain. Photochem Photobiol Sci 12, 1707–1716 (2013). https://doi.org/10.1039/c3pp25439a

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