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 27/1/2016.
The model depicted in this document considers carbon allocation with a process based approach. It was originally described by Comins & McMurtrie (1993).
global
| Name | Description | Unit |
|---|---|---|
| \(F\) | Foliage carbon content per unit ground area at equilibrium | \(Mg/ha\) |
| \(R\) | Root carbon | \(Mg/ha\) |
| \(W\) | Carbon in woody tissue | \(Mg/ha\) |
| Name | Description | Unit |
|---|---|---|
| \(G\) | Net rate of plant carbon production | \(Mg\cdot ha^{-1}\cdot yr^{-1}\) |
| Name | Description |
|---|---|
| \(\eta_{f}\) | Allocation fraction to foliar biomass |
| \(\eta_{r}\) | Allocation fraction to roots biomass |
| \(\eta_{w}\) | Allocation fraction to wood (in stem, branches and large structurl roots) biomass |
| Name | Description | Unit |
|---|---|---|
| \(\gamma_{f}\) | Foliage senescence rate | \(yr^{-1}\) |
| \(\gamma_{r}\) | Roots senescence rate | \(yr^{-1}\) |
| \(\gamma_{w}\) | Wood senescence rate | \(yr^{-1}\) |
| Name | Description | Expression |
|---|---|---|
| \(x\) | vector of states for vegetation | \(x=\left[\begin{matrix}F\\R\\W\end{matrix}\right]\) |
| \(u\) | scalar function of photosynthetic inputs | \(u=G\) |
| \(b\) | vector of partitioning coefficients of photosynthetically fixed carbon | \(b=\left[\begin{matrix}\eta_{f}\\\eta_{r}\\\eta_{w}\end{matrix}\right]\) |
| \(A\) | matrix of senescence (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 | \(f_{v}=u b + A x\) |
\(F: G\cdot\eta_{f}\)
\(R: G\cdot\eta_{r}\)
\(W: G\cdot\eta_{w}\)
\(F: F\cdot\gamma_{f}\)
\(R: R\cdot\gamma_{r}\)
\(W: W\cdot\gamma_{w}\)
\(F = \frac{G\cdot\eta_{f}}{\gamma_{f}}\)
\(R = \frac{G\cdot\eta_{r}}{\gamma_{r}}\)
\(W = \frac{G\cdot\eta_{w}}{\gamma_{w}}\)
Comins, H. N., & McMurtrie, R. E. (1993). Long-term response of nutrient-limited forests to CO\(_2\) enrichment; equilibrium behavior of plant-soil models. Ecological Applications, 3(4), 666–681.