This report presents a general overview of the model Two-pool microbial , 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 18/01/2018. The entry was processed by the python package bgc-md to produce symbolic output.
The model was originally described by Wang et al. (2014).
| Name | Description | Unit |
|---|---|---|
| \(C_{s}\) | soil organic matter | \(g C m^{-2}\) |
| \(C_{b}\) | microbial biomass | \(g C m^{-2}\) |
| Name | Description | Expression |
|---|---|---|
| \(C\) | carbon content | \(C=\left[\begin{matrix}C_{s}\\C_{b}\end{matrix}\right]\) |
| \(I\) | input vector | \(I=\left[\begin{matrix}F_{NPP}\\0\end{matrix}\right]\) |
| \(A\) | decomposition operator | \(A=\left[\begin{matrix}-\lambda &\mu_{b}\\\epsilon\cdot\lambda & -\mu_{b}\end{matrix}\right]\) |
| \(f_{s}\) | the right hand side of the ode | \(f_{s}=A C + I\) |
\(C_{s}: F_{NPP}\)
\(C_{s}: -\frac{C_{b}\cdot C_{s}\cdot V_{s}}{C_{s} + K_{s}}\cdot\left(\epsilon - 1\right)\)
\(C_{s} \rightarrow C_{b}: \frac{C_{b}\cdot C_{s}\cdot V_{s}}{C_{s} + K_{s}}\cdot\epsilon\)
\(C_{b} \rightarrow C_{s}: C_{b}\cdot\mu_{b}\)
\(C_s = \frac{K_{s}\cdot\mu_{b}}{V_{s}\cdot\epsilon -\mu_{b}}\)
\(C_b = -\frac{F_{NPP}\cdot\epsilon}{\mu_{b}\cdot\left(\epsilon - 1\right)}\)
Wang, Y. P., Chen, B. C., Wieder, W. R., Leite, M., Medlyn, B. E., Rasmussen, M., … Luo, Y. Q. (2014). Oscillatory behavior of two nonlinear microbial models of soil carbon decomposition. Biogeosciences, 11(7), 1817–1831. http://doi.org/10.5194/bg-11-1817-2014