An empirical correlation to predict the terrestrial erythemal UVB irradiation under all sky conditions as a function of a single measured parameter, global irradiation, which is available at most meteorological stations is proposed. A database consisting of measurements performed in Beer Sheva between 1996 and 2018 was divided into two sets. A primary data set consisting of measurements between 1996 and 2011 (5553 days) was utilized to develop the empirical correlation. Two secondary data sets consisting of measurements performed at Beer Sheva (1272 days) and Neve Zohar (1047 days) between January 2012 and September 2018 were used to validate the correlation. The results of the statistical analysis of the primary data reported in terms of %MBE, %RMSE, and the correlation coefficient R were − 0.01, 14.85, and 0.947, respectively. The statistical analysis for the validation procedures gives the following results: %MBE, %RMSE, and R for Beer Sheva were − 0.57, 19.80, and 0.914, respectively, and 0.95, 18.49, and 0.950 for Neve Zohar, respectively. An inter-comparison between the results of the statistical analysis of the present empirical correlation with those for previously proposed correlations, requiring more measured/calculated parameters, exhibited essentially the same degree of agreement between calculated and measured values.

提出了一种经验相关性，可预测在所有天空条件下地面红斑UVB辐射作为单个测量参数（全局辐射）的函数，这在大多数气象台上都可以使用。将包含1996年至2018年在比尔谢瓦（Beer Sheva）中进行的测量的数据库分为两组。利用由1996年至2011年（5553天）之间的测量值构成的主要数据集来建立经验相关性。使用两个次要数据集，包括在2012年1月至2018年9月之间在Beer Sheva（1272天）和Neve Zohar（1047天）进行的测量来验证相关性。以％MBE，％RMSE和相关系数R表示的原始数据的统计分析结果分别为-0.01、14.85和0.947。验证程序的统计分析得出以下结果：Beer Sheva的％MBE，％RMSE和R分别为− 0.57、19.80和0.914，Neve Zohar的分别为0.95、18.49和0.950。当前经验相关性的统计分析结果与先前提出的相关性的统计分析之间需要进行更多的测量/计算参数之间的比较，显示出计算值和测量值之间的一致性程度基本相同。