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1:3.4.2 Generated Values

The daily generated values are determined by multiplying the residual elements generated with equation 1:3.4.1 by the monthly standard deviation and adding the monthly average value.

Tmx=μmxmon+χi(1)∗σmxmonT_{mx}=\mu mx_{mon} + \chi_i(1)*\sigma mx_{mon}Tmx​=μmxmon​+χi​(1)∗σmxmon​ 1:3.4.10

Tmn=μmnmon+χi(2)∗σmnmonT_{mn}=\mu mn_{mon} + \chi_i(2)*\sigma mn_{mon}Tmn​=μmnmon​+χi​(2)∗σmnmon​ 1:3.4.11

Hday=μradmon+χi(3)∗σradmonH_{day}=\mu rad_{mon} + \chi_i(3)*\sigma rad_{mon}Hday​=μradmon​+χi​(3)∗σradmon​ 1:3.4.12

where TmxT_{mx}Tmx​ is the maximum temperature for the day (°C\degree C°C), μmxmon\mu mx_{mon}μmxmon​ is the average daily maximum temperature for the month (°C\degree C°C), χi(1)\chi_i(1)χi​(1) is the residual for maximum temperature on the given day, σmxmon\sigma mx_{mon}σmxmon​ is the standard deviation for daily maximum temperature during the month (°C\degree C°C), TmnT_{mn}Tmn​ is the minimum temperature for the day (°C\degree C°C), μmnmon\mu mn_{mon}μmnmon​ is the average daily minimum temperature for the month (°C\degree C°C), χi(2)\chi_i(2)χi​(2) is the residual for minimum temperature on the given day, is the standard deviation for daily minimum temperature during the month (), is the solar radiation for the day (MJ m), is the average daily solar radiation for the month (MJ m), is the residual for solar radiation on the given day, and is the standard deviation for daily solar radiation during the month (MJ m).

The user is required to input standard deviation for maximum and minimum temperature. For solar radiation the standard deviation is estimated as ¼ of the difference between the extreme and mean value for each month.

1:3.4.13

where is the standard deviation for daily solar radiation during the month (MJ m), is the maximum solar radiation that can reach the earth’s surface on a given day (MJ m), and is the average daily solar radiation for the month (MJ m).

σmnmon\sigma mn_{mon}σmnmon​
°C\degree C°C
HdayH_{day}Hday​
−2^{-2}−2
μradmon\mu rad_{mon}μradmon​
−2^{-2}−2
χi(3)\chi_i(3)χi​(3)
σradmon\sigma rad_{mon}σradmon​
−2^{-2}−2
σradmon=Hmx−μradmon4\sigma rad_{mon}=\frac{H_{mx}-\mu rad_{mon}}{4}σradmon​=4Hmx​−μradmon​​
σradmon\sigma rad_{mon}σradmon​
−2^{-2}−2
HmxH_{mx}Hmx​
−2^{-2}−2
μradmon\mu rad_{mon}μradmon​
−2^{-2}−2