Calculate the steady state LAI.

[davidorme]

Here the ‘steady-state’ LAI means the LAI that the canopy can eventually reach when the environments are held constant for a long time.

The equation to calculate steady-state LAI is shown in equation 5.

(Eqn 5) $L_s= min\left[ ⁡\mu + (1/k) W_0 [–k \mu e^{–k \mu}] ,LAI_{max}\right]$

Data inputs:

• $μ = m A_0$, m is calculated using equation 4 in Calculate tunable parameter $m$ defined as the ratio of steady state annual LAI to GPP. #349
• $A_0$ is daily potential GPP from the PModel input to Calculation of annual fAPAR and LAI values from a fitted PModel and precipitation data #348.
• $W_0$ is the principal branch of the Lambert W function, and
• $LAI_{max}$ is the prediction from Calculation of annual fAPAR and LAI values from a fitted PModel and precipitation data #348.