This report presents a general overview of the model ICBM , which is part of the Biogeochemistry Model Database BGC-MD. The underlying yaml file entry that contains all the information of the model was created by Holger Metzler (Orcid ID: 0000-0002-8239-1601) on 09/03/2016. The entry was processed by the python package bgc-md to produce symbolic output.
The model was originally described by Andrén & Kätterer (1997).
| Name | Description | Unit |
|---|---|---|
| \(Y\) | young pool of soil carbon | \(kgCm^{-2}\) |
| \(O\) | old pool of soil carbon | \(kgCm^{-2}\) |
| Name | Description | Expression |
|---|---|---|
| \(C\) | carbon content | \(C=\left[\begin{matrix}Y\\O\end{matrix}\right]\) |
| \(I\) | input vector | \(I=\left[\begin{matrix}i\\0\end{matrix}\right]\) |
| \(\xi\) | environmental effects multiplier | \(\xi=r\) |
| \(T\) | transition operator | \(T=\left[\begin{matrix}-1 & 0\\h & -1\end{matrix}\right]\) |
| \(N\) | decomposition operator | \(N=\left[\begin{matrix}k_{1} & 0\\0 & k_{2}\end{matrix}\right]\) |
| \(f_{s}\) | the right hand side of the ode | \(f_{s}=\xi T N C + I\) |
\(Y: i\)
\(Y: Y\cdot k_{1}\cdot r\cdot\left(- h + 1\right)\)
\(O: O\cdot k_{2}\cdot r\)
\(Y \rightarrow O: Y\cdot h\cdot k_{1}\cdot r\)
\(Y = \frac{i}{k_{1}\cdot r}\)
\(O = \frac{h\cdot i}{k_{2}\cdot r}\)
Andrén, O., & Kätterer, T. (1997). ICBM: the introductory carbon balance model for exploration of soil carbon balances. Ecological Applications, 7(4), 1226–1236.