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 17/7/2015.
The model depicted in this document considers carbon allocation with a process based approach. It was originally described by Potter et al. (1993).
global
| Abbreviation | Source |
|---|---|
| Original dataset of the publication | Potter et al. (1993) |
| Tundra | Potter (1999) |
| High-latitude forest | Potter (1999) |
| Boreal coniferous forest | @Potter1999BioScience |
| Temperate grassland | Potter (1999) |
| Mixed coniferous forest | Potter (1999) |
| Temperate deciduous forest | Potter (1999) |
| Desert and bare ground | Potter (1999) |
| Semi-arid shrubland | Potter (1999) |
| Savanna and woody grassland | Potter (1999) |
| Tropical evergreen rain forest | Potter (1999) |
| Name | Description |
|---|---|
| \(C_{f}\) | Carbon in foliage |
| \(C_{r}\) | Carbon in roots |
| \(C_{w}\) | Carbon in woody tissue |
| Name | Description | Expression | Unit |
|---|---|---|---|
| \(t\) | time step | - | \(year\) |
| \(SOL\) | Total solar radiation (SOL(x,t)) | - | - |
| \(FPAR\) | Fraction of incoming PAR intercerpted by green vegetation (FPAR(x,t)) | - | - |
| \(IPAR\) | Intercepted photosynthetically active radiation(IPAR(x,t)). The factor of 0.5 accounts for the fact that approx. half of SOL is in PAR waveband (0.4-0.7 \(\mu\)m) | \(IPAR=0.5\cdot FPAR\cdot SOL\) | - |
| \(\epsilon\) | PAR use efficiency (\(\epsilon(x,t)\)). Function that depends on effects of temperature and water stress | - | - |
| \(NPP\) | New production of plant biomass (NPP(x,t)) at a grid cell (\(x\)) in month \(t\) | \(NPP=IPAR\cdot\epsilon\) | - |
| Name | Description |
|---|---|
| \(\alpha_{f}\) | Proportional allocation constant of available carbon allocated to foliage |
| \(\alpha_{r}\) | Proportional allocation constant of available carbon allocated to roots |
| \(\alpha_{w}\) | Proportional allocation constant of available carbon allocated to wood |
| Name | Description | Unit |
|---|---|---|
| \(\tau_{f}\) | Residence time of carbon in foliage | \(years\) |
| \(\tau_{r}\) | Residence time of carbon in roots | \(years\) |
| \(\tau_{w}\) | Residence time of carbon in wood | \(years\) |
| Name | Description | Expression |
|---|---|---|
| \(x\) | vector of states for vegetation | \(x=\left[\begin{matrix}C_{f}\\C_{r}\\C_{w}\end{matrix}\right]\) |
| \(u\) | scalar function of photosynthetic inputs | \(u=NPP\) |
| \(b\) | vector of partitioning coefficients of photosynthetically fixed carbon | \(b=\left[\begin{matrix}\alpha_{f}\\\alpha_{r}\\\alpha_{w}\end{matrix}\right]\) |
| \(A\) | matrix of turnover (cycling) rates | \(A=\left[\begin{matrix}-\tau_{f} & 0 & 0\\0 & -\tau_{r} & 0\\0 & 0 & -\tau_{w}\end{matrix}\right]\) |
| \(f_{v}\) | the righthandside of the ode | \(f_{v}=u b + A x\) |
\(C_{f}: 0.5\cdot FPAR\cdot SOL\cdot\alpha_{f}\cdot\epsilon\)
\(C_{r}: 0.5\cdot FPAR\cdot SOL\cdot\alpha_{r}\cdot\epsilon\)
\(C_{w}: 0.5\cdot FPAR\cdot SOL\cdot\alpha_{w}\cdot\epsilon\)
\(C_{f}: C_{f}\cdot\tau_{f}\)
\(C_{r}: C_{r}\cdot\tau_{r}\)
\(C_{w}: C_{w}\cdot\tau_{w}\)
\(C_f = \frac{0.5\cdot FPAR\cdot SOL\cdot\alpha_{f}\cdot\epsilon}{\tau_{f}}\)
\(C_r = \frac{0.5\cdot FPAR\cdot SOL\cdot\alpha_{r}\cdot\epsilon}{\tau_{r}}\)
\(C_w = \frac{0.5\cdot FPAR\cdot SOL\cdot\alpha_{w}\cdot\epsilon}{\tau_{w}}\)
Potter, C. S. (1999). Terrestrial biomass and the effects of deforestation on the global carbon cycle. BioScience, 49(10), 769–778. http://doi.org/10.2307/1313568
Potter, C. S., Randerson, J. T., Field, C. B., Matson, P. A., Vitousek, P. M., Mooney, H. A., & Klooster, S. A. (1993). Terrestrial ecosystem production: A process model based on global satellite and surface data. Global Biogeochemical Cycles, 7(4), 811–841. http://doi.org/10.1029/93gb02725