When the sunshine duration is known, the global radiation is calculated using the Ångström-Prescott formula. Constants depend on the geographic location.
where Rg : Incoming daily global solar radiation [J m-2 d-1] Ra : Daily extra-terrestrial radiation [J m-2 d-1] Aa : Empirical constant [-] Ba : Empirical constant [-] n : Bright sunshine hours per day [hr] Ld : Astronomical day length [hr]
When sunshine duration is not available but minimum and maximum temperature and cloud cover are known, the Extended Hargreaves (a.k.a. Supit ) formula is applied. Constants depend on geographic location:
where Rg : Incoming daily global solar radiation [J m-2 d-1] Ra Daily extra-terrestrial radiation [J m-2 d-1] CC Mean total cloud cover during daytime [octa] Tmax Maximum temperature [°C] Tmin : Minimum temperature [°C] As : Empirical constants [°C-0.5] Bs : Empirical constants [-] Cs : Empirical constants [J m-2 d-1]
When only minimum and maximum temperatures are known, the Hargreaves equation is applied. Again, the constants depend on geographic location:
where Rg : Incoming daily global solar radiation [J m-2 d-1] Ra Daily extra-terrestrial radiation [J m-2 d-1] Tmax Maximum temperature [°C] Tmin : Minimum temperature [°C] Ah : Empirical constants [°C-0.5] Bh : Empirical constants [J m-2 d-1]
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1CGMS is the Crop Growth Monitoring System as applied by the European Commission