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Modeling temporal variation in air temperature
From
Campbell, G.S. and J.M. Norman (1997) An introduction to environmental biophysics
Equation (2.2) and (2.3) page23
dimentionless diurnal temperature function
Gamma(t) = 0.44 – 0.46 sin(w * t + 0.9) + 0.11 sin(2wt + 0.9)
Where w = pi/12, t is time of day in hours
The hourly temperature calculated from following equations
T(t) = Tmax,i-1 Gamma(t) + Tmin,i [1-Gamma(t) ] 0 < t <= 5
T(t) = Tmax,i Gamma(t) + Tmin,i [1-Gamma(t) ] 5 < t <= 14
T(t) = Tmax,i Gamma(t) + Tmin,i+1 [1-Gamma(t) ] 5 < t <= 14
Here, Tmax is the daily maximum temperature and Tmin is the minimum temperature. The subscript I represents the present day; i - 1 is the previous day, and i + 1 is the next day.
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