Evaluation and estimation of daily global solar radiation from the estimated direct and diffuse solar radiation

Active layer plays a key role in regulating the dynamics of hydrothermal processes and ecosystems that are sensitive to the changing climate in permafrost regions. However, little is known about the hydrothermal dynamics during freeze-thaw processes in permafrost regions with different vegetation types on the Qinghai-Tibetan Plateau (QTP). In the present study, the freezing and thawing processes at four sites (QT01, 03, 04, and 05) with different vegetation types on the QTP was analyzed. The results indicated that the impact on the soil water and heat during the summer thawing process was markedly greater than that during the autumn freezing process. Furthermore, the thermal-orbit regression slopes for all sites exhibited a homologous variation as the depth increased, with the slowest attenuation for the meadow sites (QT01 and QT03) and a slightly faster attenuation for the desert steppe site (QT05). The air and ground surface temperatures were similar in winter, but the ground surface temperature was significantly higher than the air temperature in summer in the radiation-rich environment at all sites on the QTP. The results also indicated that the n-factors were between 0.36 and 0.55 during the thawing season, and the annual mean temperature near the permafrost table was between − 1.26 and − 1.84 °C. In the alpine desert steppe region, the thermal conditions exhibited to show a warming trend, with a current permafrost table temperature of − 0.22 °C. The annual changing amplitude of the ground temperature at the permafrost table was different for different vegetation types.     

Estimating global solar radiation

A model is presented to calculate daily totals of global solar radiation. First, cloudless sky radiation is evaluated from transmission due to absorption and scattering. Cloud effects are added using cloud layer transmission. A simple expression to account for additional radiation due to reflection between the ground surface and cloud bases is also included. Atmospheric transmissions are obtained from previous studies. Precipitable water and observations of cloud type and amount for different layers in the atmosphere are the only meteorological variables required. The model is evaluated and tested with data collected at stations in and around Lake Ontario: a lake station near Grimsby in 1969 and land stations at Burlington, Scarborough, Peterborough, Trenton and Kingston, Ontario in 1972 and 1973 during the International Field Year for the Great Lakes. Good agreement between calculated and measured radiation was obtained at all stations, particularly for 5- and 10-day means. Model performance was largely independent of both cloud amount and season.     

Precise estimation of hourly global solar radiation for micrometeorological analysis by using data classification and hourly sunshine

We have developed a method for estimating hourly global solar radiation (GSR) from hourly sunshine duration data. This procedure requires only hourly sunshine duration as the input data and utilizes hourly precipitation and daily snow cover as auxiliary data to classify time intervals into six cases according to weather conditions. To obtain hourly GSR using a simple algebraic form, a quadratic function of the solar elevation angle and the sunshine duration ratio is used. Daily GSR is given by a sum of hourly GSRs. We evaluated the performance of the newly developed method using data obtained at 67 meteorological stations and found that the estimated GSR is highly consistent with that observed. Hourly and daily root-mean-square misfits are approximately 0.2 MJ/m²/h (~55 W/m²) and 1.4 to 1.5 MJ/m²/day (~16 to 17 W/m²), respectively. Our classification of weather conditions is effective for reducing estimation errors, especially under cloudy skies. Since the sunshine duration is observed at more meteorological stations than GSR, the proposed new method is a powerful tool for obtaining solar radiation with hourly resolution and a dense geographical distribution. One of the proposed methods, GSRgrn, can be applicable to hourly GSR estimations at different observation sites by setting local parameters (the precipitable water, surface albedo, and atmospheric turbidity) suitable to the sites. The hourly GSR can be applied for various micrometeorological studies, such as the heat budget of crop fields.     

几种水平面太阳总辐射量计算模型的对比分析

利用中国区域1961-1999年39 a间98个常规气象观测数据,建立6个模型分别以天文辐射、干洁大气总辐射和湿洁大气总辐射为起始数据,进行太阳辐射日总量的模拟,对比分析了6个水平面太阳总辐射量计算模型的性能.结果表明:在三种起始数据中,干洁大气总辐射和湿洁大气总辐射均能较好地体现宏观地势对太阳辐射空间分布的影响,以湿洁大气总辐射为起始数据的计算模型拟合精度相对较高.对6个水平面太阳总辐射量计算模型的对比分析发现:2个以日照百分率为主导因子,气温日较差为修正项的综合模型拟合误差最小,精度最高;经典的日照百分率模型次之,但其模型系数最稳定可靠;3个气温日较差模型拟合效果最差.最终选用经验系数稳定、拟合精度较高的日照百分率模型,制作了2001年中国水平面太阳辐射日总量空间分布图.     

Evaluation of solar radiation estimation methods for reference evapotranspiration estimation in Canada

The accuracy of nine solar radiation (R _s ) estimation models and their effects on reference evapotranspiration (ET _o ) were evaluated using data from eight meteorological stations in Canada. The R _s estimation models were FAO recommended Angstrom-Prescott (A-P) coefficients, locally calibrated A-P coefficients, Hargreaves and Samani (H-S) (1982), Annandale et al., (2002), Allen (1995), Self-Calibrating (S-C, Allen, 1997), Samani (2000), Mahmood and Hubbard (M-H) (2002), and Bristow and Campbell (B-C) (1984). The estimated R _s values were then compared to measured R _s to check the appropriateness of these models at the study locations. Based on root mean square error (RMSE), mean bias error (MBE) and modelling efficiency (ME) ranking, calibrated A-P coefficients performed better than all other methods. The calibrated H-S method (using new K _RS 0.15) estimated R _s more accurately than FAO-56 recommended A-P in Elora, and Winnipeg. The RMSE of the calibrated H-S method ranged between 1-6% and the RMSE of the calibrated and FAO recommended Angstrom-Prescott (A-P) methods ranged between 1-9%. The models with the least accuracy at the eight locations are the Mahmood & Hubbard (2002) and Self-Calibrating models. The percent deviation in ET _o calculated with estimated R _s was reduced by about 50% as compared to deviation in measured versus estimated R _s .     

Retrieving daily global solar radiation from routine climate variables

Solar radiation is an important variable for studies related to solar energy applications, meteorology, climatology, hydrology, and agricultural meteorology. However, solar radiation is not routinely measured at meteorological stations; therefore, it is often required to estimate it using other techniques such as retrieving from satellite data or estimating using other geophysical variables. Over the years, many models have been developed to estimate solar radiation from other geophysical variables such as temperature, rainfall, and sunshine duration. The aim of this study was to evaluate six of these models using data measured at four independent worldwide networks. The dataset included 13 stations from Australia, 25 stations from Germany, 12 stations from Saudi Arabia, and 48 stations from the USA. The models require either sunshine duration hours (Ångstrom) or daily range of air temperature (Bristow and Campbell, Donatelli and Bellocchi, Donatelli and Campbell, Hargreaves, and Hargreaves and Samani) as input. According to the statistical parameters, Ångstrom and Bristow and Campbell indicated a better performance than the other models. The bias and root mean square error for the Ångstrom model were less than 0.25 MJ m² day^?1 and 2.25 MJ m² day^?1, respectively, and the correlation coefficient was always greater than 95 %. Statistical analysis using Student’s t test indicated that the residuals for Ångstrom, Bristow and Campbell, Hargreaves, and Hargreaves and Samani are not statistically significant at the 5 % level. In other words, the estimated values by these models are statistically consistent with the measured data. Overall, given the simplicity and performance, the Ångstrom model is the best choice for estimating solar radiation when sunshine duration measurements are available; otherwise, Bristow and Campbell can be used to estimate solar radiation using daily range of air temperature.     

Variations and trends in global solar radiation for Turkey

Summary Since measured solar radiation data in Turkey have rather high random errors, sunshine duration data covering the period from 1960 through 1994 from 34 stations in Turkey were taken to derive estimates of monthly mean global solar radiation by a quadratic correlation. The least square linear regression method was applied for trend analysis. Significant negative trends of the annual means were observed with 71 percent of the stations A 3.44 percent decrease in global solar radiation was observed over the last 35 years in Turkey. The decrease in solar radiation is an indication of increased air pollution, as statistical parameters show that Turkey is rapidly expanding economically, and thus air quality has deteriorated correspondingly.With 3 Figures     

两种太阳总辐射分钟级预报方法的比较

利用2010年9月1月至2011年8月31日中国气象局风能太阳能资源中心吐鲁番太阳能试验站水平太阳总辐射逐分钟观测资料,对统计外推法（简称外推法,TRD）和动态神经网络法（简称神经网络法,NNN）两种太阳总辐射分钟级预报方法进行比较。结果表明：从全年平均角度来看,外推法略优于神经网络法。两种预报方法的预报效果都主要依赖于天气形势,晴天预报效果最好,阴雨天气次之,多云和扬沙天气预报效果较差。外推法能较为准确地反映起报时刻影响辐射观测的云、气溶胶、沙尘等状况,并将这种影响持续至滚动预报的第一步或第二步;而神经网络法在预报阴雨、多云等复杂天气形势下预报要素的非趋势性变化规律方面略优;外推法预报日出后3 h和日落前3 h的太阳总辐射变化明显优于神经网络法;而神经网络法预报太阳总辐射突然变化特征时略优于外推法。     

The phase lag of temperature behind global solar radiation over Egypt

Summary The relation between the air temperature and the global solar radiation, which can be conveniently represented by the three characteristics: mean, amplitude and phase lag of the first harmonic of global radiation and air temperatures. A good correlation between the air temperature and the solar radiation has been found when the phase lag between them is nearly of 30 days.With 6 Figures     

Empirical estimation of daily clear sky solar radiation in Thessaloniki,Greece

Summary In the present study a mathematical model is proposed for estimating daily clear sky solar radiation in Thessaloniki. The relation I = A*sin (h) + B was used for calculating the intensity I of solar radiation. The coefficientsA andB depend on the quantities of water vapour and aerosols in the atmosphere and the sunheight (h).A andB have been estimated separately for each month. The application of the proposed model is only possible when the values ofA andB and two other astronomical parameters (sun's declination and hour angleH) are known. A good agreement has been found between observed and computed values, a fact significantly reinforcing the accuracy of the proposed model.NotesWith 2 Figures     

Global photosynthetically active radiation and its relationship with global solar radiation in the Eastern Mediterranean basin

Summary ?The relationship between global photosynthetically active radiation (PAR) and global solar radiation is studied with a 2-year data archive of hourly values H_PAR and H_SW of these irradiances obtained at Athalassa, Cyprus. These data are used to determine the temporal variability of H_PAR and its dependence on sky conditions. The seasonal variation of the ratio H_PAR/H_SW obtained from daily data ranges from 0.456 (during summer) to 0.451 (during winter) with an annual mean value of 0.454. The ratio increases from 0.454 to 0.467 (daily values) or from 0.460 to 0.501 (hourly values), as sky conditions change from clear to overcast. Finally, the effect of aerosol content on the H_PAR/H_SW ratio is found to incur substantial changes in the PAR fraction. Received June 27, 2001; revised April 17, 2002; accepted May 18, 2002     

1960年以来长江流域太阳总辐射的时空变化

基于长江流域147个站点的气象数据,利用气候学计算方法估算1960年以来的太阳总辐射数据,运用线性回归和相关分析等方法,探讨1960年以来太阳总辐射在长江流域的时空变化特征,并分析太阳总辐射的影响因子.结果表明:太阳总辐射在整个长江流域(除去上游源头区金沙江流域)自东向西递减,且上游地区变化波动大,中下游地区下降趋势显著;自1960年以来太阳总辐射在长江流域呈现下降趋势,1990年以后开始呈现上升趋势;近50a来太阳总辐射的减少趋势与云量和大气水汽含量没有显著相关性.     

Assessing the performance of global solar radiation empirical formulations in Kampala, Uganda

Summary Solar radiation incident on the Earth’s surface is a determining factor of climate on Earth, hence having a proper solar radiation database is crucial in understanding climate processes in the Earth’s atmosphere. Solar radiation data may be used in the development of insolation maps, analysis of crop growth and in the simulation of solar systems. Unfortunately, measured solar radiation data may not be available in locations where it is most needed. An alternative to obtaining observed data is to estimate it using an appropriate solar radiation model. The purpose of this study is to assess the performance of thirteen global solar radiation empirical formulations, in Kampala, Uganda, located in an African Equatorial region. The best performing formulations were determined using the ranking method. The mean bias error, root mean square error and t-statistic value were calculated and utilized in the ranking process. Results have shown that the formulation: is ranked the highest and therefore is the recommended empirical equation for the estimation of the monthly mean global solar irradiation in Kampala, Uganda and in other African Equatorial locations with similar climate and terrain.     

On the estimation of surface radiation using satellite data

Summary Model calculations are used to investigate the uncertainties in the surface radiative flux empirically derived from satellite radiation measurements and theoretically calculated from radiation models using satellite-inferred cloud parameters. The empirical approach depends upon how well the satellite-measured radiances (represented here by the top-of-the-atmosphere flux) correlate with the net flux at the surface. The model calculations show that while the TOA flux and the net surface flux are correlated with respect to changes in optical thickness, they are not correlated with respect to changes in cloud height and negatively correlated with respect to changes in water vapor content. It is also found that the solar zenith angle has a strong effect on these relationships. It is, therefore, important to correct for the effects of atmospheric water vapor content and the solar zenith angle in the empirical estimation of surface radiative flux.The theoretical approach depends upon the net effect of the uncertainty in satellite-inferred cloud parameters. In the solar spectral region, the effects of the uncertainty in satellite retrieval of could cover and optical thickness on the net downward surface flux are systematically in opposite directions, so that the combined effects is typically small (< 7 Wm^–2). In the thermal infrared region, an error of 7 Wm^–2 could be induced by an uncertainty of 100 mb in the cloud-base height or an uncertainty of 0.1 in the fractional cloud cover. As opposed to what is commonly perceived, the error in the surface flux is likely to be larger in the IR region than in the solar spectral region.

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Zusammenfassung In der vorliegenden Arbeit werden mit Hilfe von Modellberechnungen die Unsicherheiten in den durch Satellitenmessungen empirisch gewonnenen Strahlungsflüssen an der Oberfläche und jene, die bei der Benützung von Strahlungsmodellen, die auf mit Satelliten abgeleiteten Wolkenparametern beruhen, verglichen. Die Gültigkeit des empirischen Näherungsverfahren ist davon abhängig, wie sehr die vom Satelliten gemessene Strahlung (im weiteren als top-of-the-atmosphere flux — TOA — bezeichnet) mit dem Nettostrahlungsfluß an der Oberfläche korreliert. Die Modellberechnungen zeigen, daß TOA-Fluß und Nettostrahlungsfluß an der Oberfläche zwar in bezug auf Änderungen der optischen Dicke, nicht aber in bezug auf Änderungen der Wolkenhöhe korreliert sind, während sie in bezug auf Veränderungen des Wasserdampfgehalts negativ korreliert sind. Es zeigt sich weiters, daß der Zenithwinkel der Sonne einen wesentlichen Einfluß auf diese Zusammenhänge hat. Daher ist es wichtig, die Auswirkungen des atmosphärischen Wasserdampfgehalts und des Sonnenzenithwinkels in den empirischen Berechnungen des Strahlungsflusses an der Oberfläche zu korrigieren.Der theroretische Ansatz ist abhängig vom Einfluß der Unsicherheiten der satellitenermittelten Wolkenparameter. Im solaren Spektralbereich wird der zur Oberfläche gerichtete Nettofluß durch die Unsicherheiten in der satellitenermittelten Wolkendecke und der optischen Dicke systematisch in entgegengesetzter Richtung beeinflußt, so daß der gemeinsame Effekt im allgemeinen gering bleibt (< 7 Wm^–2). Im thermischen Infrarotbereich kann ein Fehler von 7 Wm^–2 durch eine Unsicherheit von 100 mb in der Wolkenbasishöhe oder von 0.1 in der Bedeckung hervorgerufen werden. Im Gegensatz zur weitverbreiteten Ansicht ist also der Fehler bei Berechnungen des Flusses an der Oberfläche im thermischen Infrarotbereich aller Wahrscheinlichkeit nach größer als im solaren Spektrum.

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With 11 Figures     

The sea breeze at Venice,as related to daily global solar radiation

Although the sea breeze at Venice and on her hinterland is influenced by orography - mainly the Alps — to the north and the Po Valley to the west, the search for a correlation between the frequency of development of the sea breeze and the daily global solar radiation seems to be desirable, and may be useful for the management of emissions from the industrial area near Venice. Three different cases are examined: (i) the sea breeze occuring in the absence of any appreciable gradient wind; (ii) the sea breeze superimposed on a prevailing wind; (iii) the sea breeze not developing at all. The frequency distributions of these cases related to the global solar radiation at Venice are discussed.