GreenLab Course
Production-Expansion
Production equation
GreenLab production equation
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Equation expression
Replacing the functional leaf Area S(n) in eq. 1 by its detailed expression as defined in eq. 5, defines the explicit GreenLab production equation:
| Q(n) = | E(n) . Sp | ( | 1 - exp ( - | k | Σi = 1 ; Tb Σj = 1 ; i Nb (i) φb(j) | Q ( n - i + j - 1 ) | ) ) | (equation 6) |
| r | e . Sp | D (n - i + j) |
where:
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Q(n) is the fresh biomasss produced at cycle n
E(n) is an aggregate variable standing for the Environmental resource conditions at cycle n, typically LUE and PAR
r represents the water resource, proportional to the Water Use Efficiency inverse (WUE-1)
Nb(i) is the number of blades appeared at cycle n
k stands for the BeerLaw extinction coefficient
e is the blade thickness (assumed to be constant here)
φb(j) is the blade sink at age j
D(n) is plant demand at cycle n as formulated in (eq. 3)