This report presents a general overview of the model BACWAVE , 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 15/03/2016. The entry was processed by the python package bgc-md to produce symbolic output.
The model was originally described by Zelenev, van Bruggen, & Semenov (2000).
| Name | Description | Unit |
|---|---|---|
| \(X\) | microbial biomass pool | \(\mu gC cm^{-3}\) |
| \(S\) | substrate pool | \(\mu gC cm^{-3}\) |
| Name | Description | Expression |
|---|---|---|
| \(C\) | carbon content | \(C=\left[\begin{matrix}X\\S\end{matrix}\right]\) |
| \(I\) | input vector | \(I=\left[\begin{matrix}0\\BGF + Exu\end{matrix}\right]\) |
| \(T\) | transition operator | \(T=\left[\begin{matrix}-1 & Y\\K_{r} & -1\end{matrix}\right]\) |
| \(N\) | decomposition operator | \(N=\left[\begin{matrix}\frac{D_{max}\cdot K_{d}}{K_{d} +\frac{S}{\theta}} & 0\\0 &\frac{X\cdot\mu_{max}}{Y\cdot\left(K_{s}\cdot\theta + S\right)}\end{matrix}\right]\) |
| \(f_{s}\) | the right hand side of the ode | \(f_{s}=T N C + I\) |
\(S: BGF + ExuM\cdot e^{- ExuT\cdot t}\)
\(X: -\frac{D_{max}\cdot K_{d}\cdot X\cdot\theta}{K_{d}\cdot\theta + S}\cdot\left(K_{r} - 1\right)\)
\(S: -\frac{S\cdot X\cdot\mu_{max}\cdot\left(Y - 1\right)}{Y\cdot\left(K_{s}\cdot\theta + S\right)}\)
\(X \rightarrow S: \frac{D_{max}\cdot K_{d}\cdot K_{r}\cdot X\cdot\theta}{K_{d}\cdot\theta + S}\)
\(S \rightarrow X: \frac{S\cdot X\cdot\mu_{max}}{K_{s}\cdot\theta + S}\)
Zelenev, V. V., van Bruggen, A. H. C., & Semenov, A. M. (2000). “BACWAVE,” a spatial-temporal model for traveling waves of bacterial populations in response to a moving carbon source in soil. Microbial Ecology, 40(3), 260–272. http://doi.org/10.2307/4251775