This report is the result of the use of the python package bgc_md, as means to translate published models to a common language. The underlying yaml file was created by Verónika Ceballos-Núñez (Orcid ID: 0000-0002-0046-1160) on 17/7/2015.
The model depicted in this document considers carbon allocation with a process based approach. It was originally described by Running & Coughlan (1988).
forest
| Name | Description |
|---|---|
| \(C_{f}\) | Carbon in foliage |
| \(C_{r}\) | Carbon in roots |
| \(C_{w}\) | Carbon in woody tissue |
| Name | Description | Unit |
|---|---|---|
| \(t\) | time step | \(year\) |
| \(\eta_{f}\) | - | |
| \(\eta_{r}\) | - | |
| \(\eta_{w}\) | - |
| Name | Description | Unit |
|---|---|---|
| \(\gamma_{f}\) | - | |
| \(\gamma_{r}\) | - | |
| \(\gamma_{w}\) | - |
| Name | Description | Expression |
|---|---|---|
| \(x\) | vector of states for vegetation | \(x=\left[\begin{matrix}C_{f}\\C_{r}\\C_{w}\end{matrix}\right]\) |
| \(u\) | scalar function of photosynthetic inputs | - |
| \(b\) | vector of partitioning coefficients of photosynthetically fixed carbon | \(b=\left[\begin{matrix}\eta_{f}\\\eta_{r}\\\eta_{w}\end{matrix}\right]\) |
| \(A\) | matrix of turnover (cycling) rates | \(A=\left[\begin{matrix}-\gamma_{f} & 0 & 0\\0 & -\gamma_{r} & 0\\0 & 0 & -\gamma_{w}\end{matrix}\right]\) |
| \(f_{v}\) | the righthandside of the ode | \(f_{v}=u b + A x\) |
\(C_{f}: \eta_{f}\cdot u\)
\(C_{r}: \eta_{r}\cdot u\)
\(C_{w}: \eta_{w}\cdot u\)
\(C_{f}: C_{f}\cdot\gamma_{f}\)
\(C_{r}: C_{r}\cdot\gamma_{r}\)
\(C_{w}: C_{w}\cdot\gamma_{w}\)
\(C_f = \frac{\eta_{f}\cdot u}{\gamma_{f}}\)
\(C_r = \frac{\eta_{r}\cdot u}{\gamma_{r}}\)
\(C_w = \frac{\eta_{w}\cdot u}{\gamma_{w}}\)
Running, S. W., & Coughlan, J. C. (1988). A general model of forest ecosystem processes for regional applications i. hydrologic balance, canopy gas exchange and primary production processes. Ecological Modelling, 42(2), 125–154. http://doi.org/10.1016/0304-3800(88)90112-3