Table 1 A list of all parameters used in the mathematical model.
From: Modeling photosynthetic resource allocation connects physiology with evolutionary environments
Abbrev | Explanation | Value | Units |
|---|---|---|---|
A | Achieved CO2 assimilation rate \((A=\mathrm{ min}\left({A}_{j}, {A}_{c}\right))\) | µmol m−2 s−1 | |
Ac | CO2 assimilation rate when the electron transport rate is not limiting | µmol m−2 s−1 | |
Aj | Light-limited CO2 assimilation rate \({(A}_{j}=\mathrm{min}\left({A}_{j}^{ATP}, {A}_{j}^{NADPH}\right))\) | µmol m−2 s−1 | |
\({A}_{j}^{ATP}\) | ATP-limited CO2 assimilation rate | µmol m−2 s−1 | |
\({A}_{j}^{NADPH}\) | NADPH-limited CO2 assimilation rate | µmol m−2 s−1 | |
\({\mathrm{c}}_{\mathrm{E}}\) | Number of Rubisco catalytic sites per nitrogen | 1.27 × 10–3 36 | µmol × (µmol nitrogen)−1 |
cN | Nitrogen costs of cytochrome f | 8.8549 | mol nitrogen × (mmol cyt)−1 |
Chl | Chlorophyll content | µmol m−2 | |
cyt | The amount of cytochrome f per chlorophyll | mmol × (mol Chl)−1 | |
cytJmax | The relation of cytochrome f to Jmax | 17250 | mmol electron × (mmol cyt s)−1 |
eATP | Assumed ratio of electron per ATP in the linear electron transport | 4/366 | electron × ATP−1 |
Etot | The amount of Rubisco catalytic sites | µmol m−2 | |
f | A correction factor accounting for the spectral quality of the light | 0.159 | unitless |
gs | The bundle sheath cell conductance | µmol m−2 s−1 | |
I | The absorbed light | µmol m−2 s−1 | |
Jmax | The maximal electron transport rate | µmol m−2 s−1 | |
JmaxCET | The maximal electron transport rate of the cyclic electron transport | µmol m−2 s−1 | |
JmaxCL | A factor that describes the scaling of maximal electron transport rate with cytochrome f for the CET | 3 (assumption) | factor |
JmaxLET | The maximal electron transport rate of the linear electron transport | µmol m−2 s−1 | |
Jt | Electron transport rate | µmol m−2 s−1 | |
Jmc | Electron transport rate that is available for the Calvin-Benson cycle and the photorespiratory path in the mesophyll cell | µmol m−2 s−1 | |
Jmp, | Electron transport rate that is available for the C4 cycle | µmol m−2 s−1 | |
Js | Electron transport rate that is available for the Calvin-Benson cycle and the photorespiratory path in the bundle sheath cell | µmol m−2 s−1 | |
ICET | Irradiance absorbed by the pigments of the cyclic electron transport | µmol m−2 s−1 | |
ILET | Irradiance absorbed by the pigments of the linear electron transport | µmol m−2 s−1 | |
kccat | Turn-over rate of Rubisco | s−1 | |
kcat,PEPC | Turn-over rate of PEPC | 6646 | s−1 |
kcat,PPDK | Turn-over rate of PPDK | 6.0246 | s−1 |
Kp | Michaelis constant of PEPC for bicarbonate | µbar | |
LHC | Light harvesting complexes | mmol × (mol Chl)−1 | |
MWPEPC | The nitrogen requirement of a catalytic site of PEPC | 96,00046 | Da |
MWPPDK | The nitrogen requirement of a catalytic site of PPDK | 95,00046 | Da |
nC4 | The fraction of photosynthetic nitrogen pool invested into the main enzymes of the C4 cycle: PEPC and PPDK | fraction | |
\({n}_{C4}^{evo}\) | The optimal fraction of photosynthetic nitrogen pool invested into the main enzymes of the C4 cycle under the evolutionary scenario | fraction | |
\({n}_{C4}^{growth}\) | The optimal fraction of photosynthetic nitrogen pool invested into the main enzymes of the C4 cycle under the growth scenario | fraction | |
nChl | Empirical factor that relates the amount of nitrogen invested into thylakoids to the amount of chlorophyll in C3 plants | 0.015888739 | factor |
nEtot | The fraction of photosynthetic nitrogen pool invested into the Calvin-Benson cycle | fraction | |
\({n}_{Etot}^{evo}\) | The optimal fraction of photosynthetic nitrogen pool invested into the Calvin-Benson cycle under the evolutionary scenario | fraction | |
\({n}_{Etot}^{growth}\) | The optimal fraction of photosynthetic nitrogen pool invested into the Calvin-Benson cycle under the growth scenario | fraction | |
nfit | The proportion of nitrogen invested into the thylakoids as a function of the leaf nitrogen level (a fit to empirical data) | fraction | |
nJmax | The fraction of photosynthetic nitrogen pool invested into the thylakoids, which include the electron transport chains | fraction | |
\({n}_{Jmax}^{evo}\) | The optimal fraction of photosynthetic nitrogen pool invested into the thylakoids under the evolutionary scenario | fraction | |
\({n}_{Jmax}^{growth}\) | The optimal fraction of photosynthetic nitrogen pool invested into the thylakoids under the growth scenario | fraction | |
nRubisco | Empirical nitrogen investment of C3 Flaveria species into Rubisco | fraction | |
Nps | Photosynthetic nitrogen pool | µmol m−2 | |
Nt | Total leaf nitrogen | µmol m−2 | |
Nthy | Nitrogen invested into the thylakoids | µmol × (µmol Chl)−1 | |
p | proportion of linear electron transport | fraction | |
PSI | Photosystem I | 249 | mmol × (mol Chl)−1 |
PSICET | Photosystem I that is associated with the cyclic electron transport | mmol × (mol Chl)−1 | |
PSILET | Photosystem I that is associated with the linear electron transport | mmol × (mol Chl)−1 | |
PSII | Photosystem II | 2.549 | mmol × (mol Chl)−1 |
pIChl | Mol chlorophyll per mol complex of PSI | 18449 | mol Chl × (mol complex)−1 |
pIIChl | Mol chlorophyll per mol complex of PSII | 6049 | mol Chl × (mol complex)−1 |
pIN | Nitrogen costs of PSI | 32.849 | mol nitrogen × (mol Chl)−1 |
pIIN | Nitrogen costs of PSII | 83.349 | mol nitrogen × (mol Chl)−1 |
lChl | Mol chlorophyll per mol complex of LHC | 1349 | mol Chl × (mol complex)−1 |
lN | Nitrogen costs of the LHC | 2649 | mol nitrogen × (mol Chl)−1 |
Vpmax | Maximal C4 cycle activity | µmol m−2 s−1 | |
α | Leaf absorptance | 0.849 | fraction |
β | Rubisco distribution between mesophyll and bundle sheath cells | fraction | |
δn | Required nitrogen re-allocation | fraction | |
Θ | The convexity of the transition between the initial slope and the plateau of the hyperbola | 0.79 | unitless |
ξ | The fraction of glycine decarboxylated in the bundle sheath cell that is derived from oxygenation by Rubisco in the mesophyll cell | fraction |
