Retrieving air humidity, global solar radiation, and reference evapotranspiration from daily temperatures: development and validation of new methods for Mexico. Part II: radiation

We propose a new model to estimate daily global radiation from daily temperature range measurements. This model combines that of Majumdar et al. (Sol Energy 13(4):383–394, 1972 ) to estimate clear sky radiation with a Gompertz function to estimate the relation between temperature range and cloud tra...

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Bibliographic Details
Published inTheoretical and applied climatology Vol. 133; no. 3-4; pp. 799 - 810
Main Authors Lobit, P., López Pérez, L., Lhomme, J. P.
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.08.2018
Springer
Springer Nature B.V
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Summary:We propose a new model to estimate daily global radiation from daily temperature range measurements. This model combines that of Majumdar et al. (Sol Energy 13(4):383–394, 1972 ) to estimate clear sky radiation with a Gompertz function to estimate the relation between temperature range and cloud transmittance. Model parameters are estimated from historical weather data: maximum and minimum temperatures and, if available, relative humidity; no other calibration is required. The model was parametrized and validated using 788 weather stations in Mexico. When calibrated using historical humidity data, daily global radiation was estimated with a mean root mean square error of 3.06 MJ m −2  day −1 . The model performed well in all situations, except for a few stations around the Gulf of Mexico and in mountain areas. When using estimated humidity, the root mean square error of prediction was only slightly degraded (3.07 MJ m −2  day −1 ). Possible theoretical basis and applicability of this model to other environments are discussed.
ISSN:0177-798X
1434-4483
DOI:10.1007/s00704-017-2212-8