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. 2012 Jun 7;7(6):e38345. doi: 10.1371/journal.pone.0038345

Table 2. Parameters and variables of the photosynthesis - stomatal conductance models.

Symbol Value Unit Description
Parameters
C −0.02 m2 sµmol 1 Slope of the linear relationship between I fac and PPFD in the range 0–25 µmol m 2 s 1
Inline graphic 35 Pa Reference atmospheric CO2 partial pressure
d 1 µmol CO2 m 2 leaf s 1 y-intercept of the linear relationship between I fac and PPFD in the range from 0–25 µmol m 2 s 1
g b 300 mmol m 2 s 1 Leaf boundary layer conductance to water vapour
g fac 13.7 dimensionless Stomatal sensitivity coefficient
g min 76.2 mmol m 2 s 1 Minimum stomatal conductance to water vapour
I fac 0.5 dimensionless Coefficient representing the extent to which R dark is inhibited in the light
Inline graphic dimensionless Ratio between J max and Inline graphic of plant grown at the reference temperature and at the reference CO2 partial pressure
Inline graphic µmol CO2 g 1 N s 1 Slope of linear relationship relating N pa to Inline graphic at the reference temperature and at the reference CO2 partial pressure
K c 19.42 Pa Michaelis-Menten constant for carboxylase activity of Rubisco
K o 14 300 Pa Michaelis-Menten constant for oxgenase activity of Rubisco
O i 21 000 Pa Internal leaf oxygen concentration
p 1 −0.012 dimensionless Coefficient representing the extent to which J fac is modified by the CO2 partial pressure during plant growth
p 2 0.036 dimensionless Coefficient representing the extent to which J fac is modified by the temperature during plant growth
p 3 0.3192 µmol CO2 g 1 N s 1 Coefficient representing the effect of CO2 partial pressure during plant growth on k 3
p 4 0.94 dimensionless Coefficient representing the effect of growth temperature on entropy term for J max and Inline graphic
R 8.314 J K 1 mol 1 Perfect gas constant
R fac 0.011 dimensionless Ratio between R dark and Inline graphic at reference temperature
SLA m2 leaf g 1 DM Specific leaf area
α 0.05 mol CO2 mol 1 photon Apparent quantum yield of net photosynthesis at saturating CO2
ΔHaJmax 83 608 J mol 1 Activation energy of J max
ΔHaKc 65 800 J mol 1 Activation energy of K c
ΔHaKo 36 000 J mol 1 Activation energy of K o
ΔHaRdark 50 861 J mol 1 Activation energy of R dark
ΔHaVcmax 86 529 J mol 1 Activation energy of Inline graphic
ΔHaτ −28 990 J mol 1 Activation energy of τ
ΔHd 200 000 J mol 1 Deactivation energy
Inline graphic 660.42 J K 1 mol 1 Entropy term of J max for plant grown at reference temperature
Inline graphic 654.24 J K 1 mol 1 Entropy term of Inline graphic for plant grown at reference temperature
τ 2 838 dimensionless Rubisco specificity factor at reference temperature
Input Variables
C a Pa CO2 partial pressure in the ambient air
C g Pa Atmospheric CO2 partial pressure during preceding month of plant growth
h s dimensionless Leaf surface relative humidity
PPFD µmol m 2 s 1 Photosynthetic photon flux density
T k K Air temperature. In our analysis T k  =  T g
T g K Mean air temperature during preceding month of plant growth
T r 293.16 K Reference temperature for metabolic activity
Output variables
A n µmol m 2 s 1 Net photosynthesis
C i Pa Internal CO2 partial pressure
C s Pa Leaf surface CO2 partial pressure
g s mmol m 2 s 1 Stomatal conductance to water vapor
k 2 Pa Intermediate variable synthesizing the Rubisco affinity for CO2
J µmol m 2 s 1 Light dependence of the rate of electron transport
Inline graphic dimensionless J fac acclimated to CO2 during plant growth
Inline graphic dimensionless J fac acclimated to temperature during plant growth
Inline graphic dimensionless J fac acclimated to CO2 and to temperature during plant growth
J max µmol m 2 s 1 Potential rate of RuBP regeneration
Inline graphic µmol m 2 s 1 Potential rate of RuBP regeneration at reference temperature
k3 µmol CO2 g 1 N s 1 Slope of linear relationship relating N pa to Inline graphic
Inline graphic µmol CO2 g 1 N s 1 Slope of linear relationship relating N pa to Inline graphic acclimated to CO2 during plant growth
N a g N m 2 leaf Leaf N content per leaf area
N ac g N m 2 leaf Leaf N content per leaf area when W c equals W j
N pa g N m 2 leaf Leaf photosynthetic N content per leaf area
Np ac g N m 2 leaf Leaf photosynthetic N content per leaf area when W c equals W j
R dark µmol m 2 s 1 Leaf dark respiration rate
Inline graphic µmol m 2 s 1 Leaf dark respiration rate at reference temperature
R day µmol m 2 s 1 Leaf respiration rate from processes other than photorespiration
Inline graphic µmol m 2 s 1 Maximum carboxylation rate of Rubisco
Inline graphic µmol m 2 s 1 Maximum carboxylation rate of Rubisco at reference temperature in the absence of any deactivation as a result of high temperature
W c µmol m 2 s 1 Rubisco-limited photosynthetic rate
W j µmol m 2 s 1 RuBP regeneration limited photosynthetic rate through electron transport
Inline graphic dimensionless Temperature dependence of J max or Inline graphic
Inline graphic dimensionless Temperature dependence of Inline graphic
Inline graphic dimensionless Temperature dependence of J max
Inline graphic dimensionless Temperature dependence of K c, K o, τ, or R dark
Inline graphic dimensionless Temperature dependence of K c
Inline graphic dimensionless Temperature dependence of K o
Inline graphic dimensionless Temperature dependence of τ
Inline graphic dimensionless Temperature dependence of R dark
Γ* dimensionless CO2 compensation point in the absence of mitochondrial respiration
Inline graphic J K 1 mol 1 Entropy term acclimated to temperature during plant growth
Inline graphic J K 1 mol 1 Entropy term of J max acclimated to temperature during plant growth
Inline graphic J K 1 mol 1 Entropy term of Inline graphic acclimated to temperature during plant growth

Parameter values are derived from Wohlfahrt et al. [3][4].