A Global Review of Empirical Models for Estimating Photosynthetically Active Radiation

Samuel Chukwujindu Nwokolo, Solomom Okechukwu Amadi

Abstract


A good working knowledge of photosynthetically active radiation (PAR) is of vital requirement for determining the terrestrial photosynthesis, primary productivity calculation, ecosystem-atmosphere carbon dioxide, plant physiology, biomass production, natural illumination in greenhouses, radiation climate, remote sensing of vegetation, and radiation regimes of plant canopy, photosynthesis, productivity models of vegetation, etc. However, routine measurement of PAR is not available in most location of interest across the globe. During the past 77 years in order to estimate PAR on hourly, daily and monthly mean basis, several empirical models have been developed for numerous locations globally. As a result, numerous input parameters have been utilized and different functional forms applied. This study was aim at classifying and reviewing the empirical models employed for estimating PAR across the globe. The empirical models so far utilized were classified into ten main categories and presented base on the input parameters applied. The models were further reclassified into numerous main sub-classes (groups) and finally presented according to their developing year. In general, 757 empirical models, 62 functional forms and 32 groups were reported in literature for estimating PAR across the globe. The empirical models utilized were equally compared with models developed using different artificial neural network (ANN); and the result revealed that ANN models are more suitable for estimating PAR across the globe. Thus, this review would provide solar energy researchers with input parameters and functional forms that have been widely used to up to date, and recognizing their importance in estimating PAR globally. 

Citation: Nwokolo, S. C., and Amadi, S. O. (2018). A Global Review of Empirical Models for Estimating Photosynthetically Active Radiation. Trends in Renewable Energy, 4(2), 236-327. DOI: 10.17737/tre.2018.4.2.0079


Keywords


Photosynthetically active radiation; empirical models; classification; functional forms; world review

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References


Nwokolo SC. A comprehensive review of empirical models for estimating global solar radiation in Africa. Renewable and sustainable energy reviews, 2017, 78: 955 – 995.

Nwokolo SC, Ogbulezie JC. A single hybrid parameter-based model for calibrating hargreaves-samani coefficient in Nigeria. International Journal of Physical Research, 2017, 5(2): 49-59

Pohlert T. Use of empirical global radiation models for maize growth simulator. Agricultural and Forest Meteorology, 2004, 126 (1): 47 – 58.

Dye DG. Spectral composition and quanta-to-energy ratio of diffuse photosynthetically active radiation under diverse clouds condition. J. Geophys Res: Atmos, 2004. DOI:10.1029/2003JD 004251

Alados I, Foyo-Moreno I, Alados–Arboledas L. Photosynthetically active radiation. Measurements and Modeling. Agricultural and Forest Meteorology, 1996, 78: 121 – 131.

Dye DG, Shibasaki R. Intercomparison of Global PAR data set. Geophy Res Lett, 1995, 22: 2013 – 2016.

Zhao MS, Running SW. Drought-induced reduction in global territorial net primary production from 2000 through 2009. Science, 2010, 329: 940 – 943.

Asaf D, Rotenberg E, Tatarinor F, Dicken U, Montzka SA, Yakir D. Ecosystem Photosynthesis inferred from measurements of carbonyl sulphide flux. Nat Geosci, 2013, 6:186 – 190.

Wang L. Gong W, Lin A, Hu B. Analysis of photosynthetically active radiation under various sky conditions in Wuhan, Central China. Int J. Biometeorol., 2013. DOI:1007/500484-013-0775-3

Cooter EJ, Dhakhua GB. A solar radiation model for use in biological applications in the south and southeastern USA. Agricultural and Forest Meteorology, 1995, 78: 31 – 51.

Hunt LA, Kuchar L, Swanto CJ. Estimation of solar radiation for use in crop modeling. Agricultural and Forest Meteorology, 1998, 91: 293 – 300.

Hoogenboom G. Contribution of agrio meteorology to the simulation of crop production and its applications. Agricultural and Forest Meteorology, 2000, 103: 137 – 157.

Loutzenhiser PG, Manz H, Felsmann C, Stranchan PA, Frank T. Empirical Validation of models to compute solar irradiance on inclined surfaces for building energy simulation. Solar Energy, 2007, 81: 254 – 267.

Holyle CR, Myher G, Isaksen I. Present – day contribution of anthropogenic emissions from China to the global burden and radiative forcing of aerosol and Ozone. Tellus B, 2009, 61: 618 – 624.

Frouin R, Pinker RT. Estimating photosynthetically active radiation (PAR) at the earth’s surface from satellite observations. Remote Sensing Environ, 1995, 51: 98 – 107.

Wang LC, Gong W. Ma YY, Zhang M. Modeling regional vegetation NPP variations and their relationships with climatic parameters in Wuhan, China. Earth Interaction, 2013, 17: 1 – 20.

Wang Q, Tenhunen J, Schmidt M, Otieno D, Kolcuu O. Diffuse Par irradiance under clear skies in complex alpine tenain. Agricultural and Forest Meteorology, 2005, 128: 1 – 15.

Zarzo M, Marti P. Modeling the variability of solar radiation doctor among weather station by means of principal component analysis. Applied Energy, 2011, 88: 2775 – 2784.

Cao MK, Prince SD, Tao B, Li KK. Regional Pattern and international variations in global terrestrial carbon intake in response to changes in climate and atmospheric Co2. Tellus B, 2005, 57: 210 – 217.

Gallo KP, Daughtry CST, Bauer ME. Spectral estimation of absorbed photosynthetically active radiation in corn canopies. Remote Sens. Environ., 1985, 17: 221-232.

Beer C, Reichstein M, Tomelleri E, Ciais P. Terrestrial gross carbon dioxide uptake: global distribution and covariation with climate. Science, 2010, 329: 834-838.

Pinker RT, Laszlo I. Global distribution of photosynthetically active radiation as observed from satellites. J. Chem., 1992, 5: 56 – 65.

Knorr W. Annual and Internal Co2 exchanges of the terrestrial biosphere: process-based stimulations and uncertainties. Glob. Ecol. Biogeogr., 2000, 9: 225 – 252.

Trenberth KE, Fasullo JT, Kiehl J. Earth’s global energy budget. Bull. Am. Meteorol. Soc., 2009, 90: 311 – 323.

Garnaud C, Sushama L, Arora VK. The effect of driving climate data on the simulated terrestrial carbon pools and fluxes over North America. International Journal of Climatology, 2014, 34:1098 – 1110.

Jonathan AP, Colin P, Navin R, Samuel L, David P. An Integrated biosphere model of band surface process, territorial carbon balance, and vegetation dynamics – Global Biogeochem. Cycles, 1996, 10:603 – 628.

Van RL, Sanchez GA. Mapping PAR using MODIS atmospheric products. Remote Sens. Environ., 2005, 94; 554 – 563.

Nwokolo SC, Ogbulezie JC. Relationship between photosynthetically active radiation with global solar radiation using empirical model over selected climatic zones in Nigeria. Journal of Scientific Research in Allied Sciences, 2017, 3(3): 1-17.

Mizoguchi Y, Ohtani Y, Aoshima T, Hirakata A, Yuta S, Takanashi S, Iwata H, Nakai Comparison of the characteristics of five quantum sensors. Bull. FFPRI, 2010, 9(3): 113 – 120.

Mizoguchi Y, Yasuda Y, Ohtani Y, Watanabe T, Komianami Y, Yamanoi K. A practical model to estimate photosynthetically active radiation using general meteorological elements in a temperate humid area and comparison among models. Theor. Appl Chimatol, 2014, 15: 583 – 589.

Ross J, Sulvev M. Sources of errors in measurements of PAR. Agricultural and Forest Meteorology, 2000, 100:103 – 125.

Gueymard C. An atmospheric transmittance model for the clear sky beam, diffuse and global photosynthetically active radiation. Agricultural and Forest Meteorology, 1989, 45: 215 – 229.

Gueymard C. A two-band model for the calculation of clear sky solar irradiance, illuminance, and photosynthetically active radiation at the Earth’s surface. Solar Energy, 1989, 43: 253 – 265.

Olseth JA, Skartvert A. Luminous efficacy models and their application for calculation of photosynthetically active radiation. Solar Energy, 1993, 52: 391 – 399.

Eck TF, Dye DG. Satellite estimation of incident photosynthetically active radiation using ultraviolet reflectance. Remote Sens. Environ., 1991, 38: 135 – 146.

Moon P. Proposed standard solar – radiation curves for engineering use. J Franklin Inst, 1940, 230: 583 – 618.

McCree KJ. A solarimeter for measuring photosynthetically active radiation. Agricultural and Forest Meteorology, 1966, 3: 353 – 366.

McCartney HA. Spectral distribution of solar radiation. Part II: Global and diffuse. Q.J.R. Meteorol. Soc., 1978, 104; 911 – 926.

Karalis JD. Characteristic of direct photosynthetically active radiation. Agricultural and Forest Meteorology, 1989, 48: 225 – 234.

Escobedo JF, Gomes EN, Oliveirol AP, Soares J. Modeling hourly and daily fraction of UV, PAR and NIR to global solar radiation under various sky conditions at Botucoctu, Brazil. Applied Energy, 2009, 86: 299 – 309.

Meek DW, Hatfied JL, Howell TA, Idso SB, Reginato RJ. A generalized relationship between photosynthetically active radiation and solar radiation. Agronomy Journal, 1983, 76: 939 – 945.

Finch DA, Bailey WG, McArthur LJB, Nasitivitwi M. Photosynthetically active radiation in Zambia. 2004. https://www.researchgate.net/publication/238088149_Photosynthetically_active_radiation_in_Zambia (accessed on 10/4/2018)

Finch DA, Bailey WG, McArthur LJB, Nasitivitivi M. Photosynthetically active radiation regimes in a southern African Savanna environment. Agricultural and Forest Meteorology, 2004, 122: 229 – 238.

Walczak T, Maczek W, Czainowsk M. Quantum radiometer for measurement of photosynthetically active radiation. Zesz. Probl. Post. Nauk. Rol., 1989, 263 – 265.

McCree KJ. Test of current definition of measuring photosynthetically active radiation against leaf photosynthesis data. Agricultural and Forest Meteorology, 1972, 10: 441 – 453.

Jacovides CP, Timbios FS, Asimakopoulos DN, Steven MD. Urban aerosol and clear skies spectra for global and diffuse photosynthetically active radiation. Agricultural and Forest Meteorology, 1997, 87: 91-104

Mizoguchi Y, Yasuda Y, Ohtani Y, Watanabe T, Komianami Y, Yamanoi K. A practical model to estimate photosynthetically active radiation using general meteorological elements in a temperate humid area and comparison among models. Theor. Appl Chimatol, 2014, 15: 583 – 589.

Tsubo M, Walker S. Relationship between photosynthetically active radiation and clearness index in Bloemfontein, South Africa. Theor. Appl. Climatol, 2005, 80:17 – 25.

Akitsu T, Kume A, Hirose Y, Ijima O, Nasahara KN. On the stability of radiometric of photosynthetically active radiation to global solar radiation in Tsukuba, Japan. Agricultural and Forest Meteorology, 2015, 209: 59-68.

Udo SO, Aro TO. Calobal PAR related to global solar radiation for central Nigeria. Agricultural and Forest Meteorology, 1999, 97: 21 – 31.

Rao CR. Photosynthetically active components of global solar radiation: measurements and model computations. Arch meteorol. Geophys. Bioclim. Ser. B, 1984, 34: 353 – 364.

Papaioannou G, Papanikolaou N, Retalis D. Relationships of Photosynthetically active radiation and shortwave irradiance. Theor Appl Climatol, 1993, 48: 23 – 27.

Jacovides CP, Tymrios FS, Papaioannou G, Assimakopoulos DN, Theofilou CM. Ratios of PAR to broadband solar radiation measured in Cyprus. Agricultural and Forest Meteorology, 2004, 121: 134 – 140.

Wang Q, Kakabari Y, Kubota M, Tenhunen J. Variation of PAR to global solar radiations ratio along altitude gradient in Naeba Mountain. Theor Appl Climatol, 2007, 87: 239-253.

Li R, Zhao, L, Ding Y, Wang S, Ji G, Xiao Y, Liu G, Sun L. Monthly ratios of PAR to global solar radiation measured of northern Tibetan Plateau, China. Solar Energy, 2010, 84: 964-973.

Britton CM, Dodd JD. Relationships of Photosynthetically active radiation and structure irradiance. Agricultural and Forest Meteorology, 1976, 17: 1 – 7.

Szeicz G. Solar radiation for plant growth. J Appl Ecol., 1984, 11: 617 – 636.

Monteith JL, Unsworth M. Principle of environmental physics, second ed. Edward Armold, London: 1990.

Bat-Oyun T, Shinoda M, Tsubo M. Effects of Cloud, Atmospheric water vapor, dust on photosynthetically active radiation and total solar radiation in a Mongolian grassland. Journal of Arid Land, 2012, 4(4): 349 – 356.

Nwokolo SC, Ogbulezie JC. Modeling the influence of relative humidity on photosynthetically active radiation from global horizontal irradiation in six tropical ecological zones in Nigeria. New York Science Journal, 2016, 9(11): 40-55.

Abolfazi MH. Estimating Photosynthetically active radiation (PAR) using air temperature and sunshine duration. Journal of Biodiversity and Environmental Sciences, 2014, 5(4): 371 – 377.

Hu B, Wang Y, Comparison of multi-empirical estimation models of photosynthetically active radiation under all sky conditions in Northeast China. Theor Appl Climatol, 2014, 116: 119-129.

Wang L, Gong W, Feng L, Lin A, Hu B, Zhou M. Estimation of hourly and daily photosynthetically active radiation in Inner Mongolia, China, from 1990 to 2012. International Journal of Climatology, 2014. DOI: 10:1002/joc.4197

Hu B, Yu Y, Lin Z, Wang Y. Analysis of photosynthetically active radiation and applied parameterization model for estimating of PAR in the North China plain. J. Atoms Chem, 2016. DOI:10.1007/510874-016-9330-2

Aguiar LJG, Fischer GR, Ladle RJ, Malhado ACM, Justino FB, Aguiar RG, Da Costa JMN. Modeling the photosynthetically active radiation in South West Amazonia under all sky conditions. Theor Appl. Climatol, 2011. DOI:10.1007/s00704-011-0556-2

Aguiar LJG, Da Costa JMN, Aguiar RG, Fischer GR. Estimates and measurements of photosynthetically active radiation and global solar irradiance in Rondonia. 2006. DOI: 10.1063/1.3117013

Finch DA, Bailey WG, McArthur LJB, Nasitivitivi M. Photosynthetically active radiation regimes in a southern African Savanna environment. Agricultural and Forest Meteorology, 2004, 122: 229 – 238.

Etuk SE, Okechukwu AE, Nwokolo SC. Modelling and estimating pohotosynthetically active radiation over six tropical ecological zones in Nigeria. Journal of Geography, Environment and Earth Science International, 2016, 12(2): 1- 12.

Etuk SE, Nwokolo SC, Okechukwu AE, John-Jaja SA. Analysis of photosynthetically active radiation over six tropical ecological zones in Nigeria. Journal of Geography, Environment and Earth Science Internal, 2016, 7(4): 1 – 15.

Nwokolo SC, Ogbulezie JC, Toge CK, John-Jaja SA. Photosynthetically active radiation estimation and modeling over different climatic zone in Nigeria. 2017, DOI:10.9734/JAERI/2017/30000

Wang L, Gong W, Ma Y, Hu B. Photosynthetically active radiation and its relationship with global solar radiation in Central China. Int J Biometeorol, 2013. DOI:10.1007/s00484-013-0690-7

Yu X, Wu Z, Jiang W, Guo X. Predicting daily photosynthetically active radiation from global solar radiation in the contiguous United States. Energy Conversion and Management, 2015, 89: 71-82.

Peng S, Du, Lin A, Hu B, Xiao K, Xi Y. Observation and estimation of photosynthetically active radiation in Lhasa (Tibetan Plateau). Advances in space research, 2015, 55: 1604-1612.

Udo SO, Aro TO, New medical relationships for determining global PAR from measurement of global solar radiation, infrared radiation or sunshine duration. International Journal of Climatology, 2000, 20: 1265-1274.

Wang L, Kisi O, Zounemat-Kermani M, Hu B, Gong W. Modeling and Comparison of hourly photosynthetically active radiation in different ecosystems. Renewable and sustainable energy reviews, 2016, 56: 436 – 453.

Yu X, Guo X. Hourly photosynthetically active radiation estimation Midwestern United States from artificial neural networks and conventional regression models. Int J. Biometeorol, 2016, 60(8):1247-59. DOI: 10.1007/s00484-015-1120-9

Melina-Maria Z, Michael T, Alkiviadis B, Stelios K. Modeling the relationship between photosynthetically active radiation and global horizontal irradiance using singular spectrum analysis. Journal of Qualitative Spectroscopy and Radiative Transfer, 2016, 182: 240-263.

Yaniktepe B, Genc YA. New Model for predicting the global solar radiation on horizontal surface. International Journal of Hydrogen, 2015, 40: 15278 – 15283.

Zhang J, Zhao L, Deng S, Xn W, Zhang Y. A Critical review of models used to estimate solar radiation. Renewable and sustainable Energy Reviews, 2017, 70: 314 – 329.

Yu, Y, Chen HB, Xia XA. Significant variation of surface Albedo during a snow period at Xiaughe observatory China. Adv. Atmos Sci., 2010, 27: 80 – 86.

Lauret P, Voyant C, Soubdhan T, David M, Poggi P. A benchmarking of machine learning techniques for solar radiation forecasting in an insular context. Solar Energy, 2015, 112: 446–457.

Sperati S, Alessandrini S, Pinson P, Kariniotakis G. The “Weather Intelligence for Renewable Energies” Benchmarking Exercise on Short-Term Forecasting of Wind and Solar Power Generation. Energies, 2015, 8:9594–9619. DOI:10.3390/en8099594.

COST | About COST, (n.d.). http://www.cost.eu/about_cost (accessed on June 31, 2017).

Pelland S, Galanis G, Kallos G. Solar and photovoltaic forecasting through post-processing of the Global Environmental Multiscale numerical weather prediction model, Prog. Photovolt. Res. Appl., 2013, 21: 284–296. DOI:10.1002/pip.1180.

Trapero JR, Kourentzes N, Martin A. Short-term solar irradiation forecasting based on Dynamic Harmonic Regression. Energy, 2015, 84: 289–295.

Monteith JL. Solar radiation and productivity in tropical ecosystems. J. Appl. Ecol., 1972, 9: 747 – 766.

Hodges T, Kanemasu E. Modeling daily dry matter production of winter wheat. Agronomy Journal, 1977, 69: 974 – 978.

Stanhill G, Fuchs M. The relative flux density of photosynthetically active radiation. J Appl Ecol, 1977, 14: 317 – 322.

Hodges T, Kanemasu E, Teare I. Modeling dry matter accumulating and yield of grain soighum. Can. J. Plant Sci., 1979, 59: 803 – 818.

Howell TA, Meek DW, Hatfield JL. Relationship of photosynthetically active radiation to shortwave radiation in the San Joaquin Valley. Agricultural and Forest Meteorology, 1983, 28: 157 – 175.

Kvifte G, Hegg K, Hansen V. Spectral distribution and characteristics distribution of solar radiation in the Nordic countries. J. Climate Appl Meteorol, 1983, 22: 143 – 152.

Rodskjer N. Spectral daily insolation at Uppsala, Sweden. Arch meteorol Geophys Bioclim Ser B, 1983, 33: 89 – 98.

Blackbum WJ, Proctor JTA. Estimating photosynthetically active radiation from measured solar irradiance. Solar Energy, 1983, 31: 233 – 234.

Weiss A Norman JM. Partitioning solar radiation into direct and diffuse, visible and near – infrared components. Agricultural and Forest Meteorology, 1985, 34: 205 – 213.

Slomka J. photosynthetic photon inflow in relation to sunshine duration of Belsk. Inst. Geophys. Pol. Acad. Sci., 1977, D-32 (230): 85 – 87.

Zhang X, Zhang Y. Zhou Y. Measuring and Modelling photosynthetically active radiation in Tibet Plateau during April – October. Agricultural and Forest Meteorology, 2000, 102: 207 – 212.

Wang L. Gong W, Li C, Lin A, Hu B, Ma Y. Measurement and estimation of photosynthetically active radiation from 1961 to 2011 in Central China. Applied Energy, 2013, 111: 1010-1017.

Anjorin OF, Utah EU, Likita MS. Estimation of hourly photosynthetically Active radiation (PAR) from hourly global solar radiation (GSR) in Jos, Nigeria. Asian Review of Environmental and Earth Sciences, 2014, 1 (2): 43 – 50.

Pankaew P, Milton EJ, Dash J. Estimating hourly variation in photosynthetically active radiation across the UK using MSG SEVIRI data. 35th International Symposium on Remote Sensing of Environment (ISRSE35); IOP Conference Series: Earth and Environmental Science, 2015, 17: 012069, DOI: 10.1088/1755-1315/17/1/012069

Peng S, Du O, Lin A, Hu B, Xiao K, Xi Y. Observation and estimation of photosynthetically active radiation in Lhasa Tibetean Plateau. Advances in Space Research, 2015, 55: 1604-1612.

Yocum CS, Allen LH, Lemon ER. Photosynthesis under field conditions. VI. Solar radiation balance and photosynthesis efficiency. Agronomy Journal, 1964, 56: 249 – 253.

Williams JG. Small variation in the photosynthetically active fraction of solar radiation on clear days. Arch Meteorol Geophys Bioclim Ser B, 1976, 33: 89 – 98.

Goldberg B, Klein WH. Variation in the spectral distribution of daylight as various geographical locations on the earth’s surface. Solar Energy, 1977, 19: 3 – 13.

Stigter CJ, Musabillia MM. The conservative ratio of photosynthetically active radiation to total radiation in the tropics. J. Appl Ecol, 1982, 19:853 – 858.

Hansen V. spectral distribution of solar radiation on clear days. A comparison between measurements and model estimates. J. Climate Appl Meteorol, 1984, 23: 772 – 780.

Papaioannou G, Nikolidakis G, Asimakopoulos D, Retalis D. Photosynthetically active radiation in Athens. Agricultural and Forest Meteorology, 1996, 81: 287 – 298.

Zhou Y, Xiang Y, Luan L. Climatological estimation of photosynthetically active quantity flux. Acta Meteol. Sinica, 1996, 54(4): 447-454.

Jacovides CP, Tymuios FS, Assimakopoulos VD, Kaltsounides NA. The dependence of global and diffuse PAR radiation components on sky condition at Athens, Greece. Agricultural and Forest Meteorology, 2007, 143: 277 – 287.

Escobedo JF, Gomes EN, Oliveira AP, Soares J. Ratios of UV, PAR and NIR components to global solar radiation measured at Botucatu site in Brazil. Renewable Energy, 2011, 36:169 – 178.

Guefeng W, De Leeuw J, Skidmore AK, Yaolin L, Prins HHT. Comparison of extrapolation and interpolation methods for estimating daily photosynthetically active radiation (PAR). Geo-spatial Information Science, 2010, 13(4): 235-242.

Escobedo JF, Gomes EN, Oliveirol AP, Soares J. Modeling hourly and daily fraction of UV, PAR and NIR to global solar radiation under various sky conditions at Botucoctu, Brazil. Applied Energy, 2009, 86: 299 – 309.

Yu X, Wu Z, Jiang W, Guo X. Predicting daily photosynthetically active radiation from global solar radiation in the Contiguous United States. Energy Conversion and management, 2015, 89: 71-882

Hargreaves GH, Samani ZA. Estimating potential evaporation. Journal of Irrigation and Drainage Engineering, 1982, 108: 223-230.

Wang L, Gong W, Hu B, Lin A, Li H, Zou. Modeling and analysis of the spatiotemporal variations of photosynthetically active radiation in China during 1961 – 2012. Renewable and sustainable energy reviews, 2015, 49: 1019 – 1032.

Hu B, Liu H, Wang Y. Investigation of the Variability of photosynthetically active radiation in the Tibetan Plateau, China. Renewable and Sustainable Energy Reviews, 2016, 55: 210 – 248.

Alados I, Alados-Arboledas L. Validation of an empirical model for photosynthetically active radiation. International Journal of Climatology, 1999, 19: 1145 – 1152.

Hu B, Wang YS, Liu GR. Measurements and estimation of photosynthesis active radiation in Beijing. Atmospheric Research, 2007, 85: 361 – 371.

Kasten F, Young AT. Revised optical air mass tables and approximation formula. Appl Opt, 1989, 28: 4735 – 4738.

Al-Shooshan AA. Estimations of photosynthetically active radiation under an arid climate. J. Agric Eng Res., 1997, 66: 9 – 13.

Alados I, Olmo FJ, Foyo-Moreno I, Alados-Arboledas L. Estimation of photosynthetically active radiation under cloudy conditions Agricultural and forest meteorology, 2000, 102: 39 – 50.

Lopez G, Rubio MA, Martinez M, Batlles FJ. Estimation of hourly global photosynthetically active radiation using artificial neural network models. Agricultural and Forest Meteorology, 2001, 107: 279 – 291.

Allen RG, Pereina LS, Raes D, Smith M. Crop evapotranspiration guideline for computing croup matter requirement. FAO Imitation and Drainage Paper, Rome, Italy. 1998, 56: 290.




DOI: http://dx.doi.org/10.17737/tre.2018.4.2.0079

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