Wc rubisco-limited carboxylation rate

Oi partial pressure of O2 (fixed to 210000 ppm)

\begin{equation}
{W_{{c}}=\frac{V_{{c}}(l)\cdot C_{{i}}(l)}{C_{{i}}(l)+K_{{c}}\cdot (1+O_{{i}}/{K_{{o}}})}}
\end{equation}
Vj potential rate of RuBP regeneration

I incident photon flux

${\alpha}$j quantum yield of RuBP regeneration 

\begin{equation}
{\alpha_{{j}}\cdot I=0{.}{8855}\cdot {{SW}}_{{{{down}}}}\cdot k\cdot e^{{-k\cdot {{LAI}}(l)}}}
\end{equation}
${\Theta}$ curvature of the quantum response (fixed equal to 0.7)

\begin{equation}
{V_{{j}}=\frac{\alpha_{{j}}\cdot I+V_{{j}}(l)-\sqrt{(\alpha_{{j}}\cdot I+V_{{j}}(l))^{{2}}-4\cdot \Theta \cdot \alpha_{{j}}\cdot I\cdot V_{{j}}(l)}}{2\cdot \Theta }}
\end{equation}
Wj RuBP regeneration-limited rate

${\Gamma}$* CO2 compensation point (ppm)

\begin{equation}
{W_{{j}}=\frac{V_{{j}}\cdot C_{{i}}(l)}{4{.}5\cdot C_{{i}}(l)+{10}{.}5\cdot \Gamma ^{{?}}}}
\end{equation}

\begin{equation}
{W={{MIN}}(W_{{c}},W_{{j}})}
\end{equation}

Rd dark respiration

fdr fraction of dark respiration (fixed equal to 0.011)

\begin{equation}
{R_{{d}}=f_{{{{dr}}}}\cdot V_{{c}}(l)}
\end{equation}
\begin{equation}
{A=W\cdot \left(1-\frac{\Gamma ^{{?}}}{C_{{i}}(l)}\right)-R_{{d}}}
\end{equation}
