Henin and Dupois, version: 1

General Overview


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This report presents a general overview of the model Henin and Dupois , 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 Hénin & Dupuis (1945).

Model description

State variables

state_variables
Name Description Unit
\(A\) labile pool \(MgC\cdot ha^{-1}\)
\(B\) stable pool \(MgC\cdot ha^{-1}\)

Components of the compartmental system

components
Name Description Expression
\(C\) carbon content \(C=\left[\begin{matrix}A\\B\end{matrix}\right]\)
\(I\) input vector \(I=\left[\begin{matrix}m\\0\end{matrix}\right]\)
\(A_{GeM}\) decomposition operator \(A_{GeM}=\left[\begin{matrix}-\alpha & 0\\K\cdot\alpha & -\beta\end{matrix}\right]\)
\(f_{s}\) the right hand side of the ode \(f_{s}=A_{GeM} C + I\)

Pool model representation


Figure 1
Figure 1: Pool model representation

Input fluxes

\(A: m\)

Output fluxes

\(A: A\cdot\alpha\cdot\left(- K + 1\right)\)
\(B: B\cdot\beta\)

Internal fluxes

\(A \rightarrow B: A\cdot K\cdot\alpha\)

Steady state formulas

\(A = \frac{m}{\alpha}\)

\(B = \frac{K}{\beta}\cdot m\)

References

Hénin, S., & Dupuis, M. (1945). Essai de bilan de la matière organique du sol. In Annales agronomiques (Vol. 15, pp. 17–29).