Table of Symbols
Table of Equations Table of Symbols

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Definition of symbols

Term Units Definition
Agross Gross rate of CO2 uptake per unit leaf area
Anet (A) m mol m-2 s-1 Net rate of CO2 uptake per unit leaf area
Ac m mol m-2 s-1 Net canopy rate of CO2 uptake per unit ground area
Ac,tot g m-2 yr-1 Ac integrated over the course of a year
Ac,sun m mol m-2 s-1 Net rate of CO2 uptake per unit area sunlit leaves
Ac,shade m mol m-2 s-1 Net rate of CO2 uptake per unit area shaded leaves
Aseed m mol m-2 s-1 Carbon available for partitioning from planted seeds
Astroot m mol m-2 s-1 Carbon available for partitioning from storage roots
A¢ m mol m-2 s-1 Predicted rate of CO2 uptake
a day-1 Respiration coefficient
b day-1 Respiration coefficient
ca m mol mol-1 Atmospheric CO2 concentration
cf Curvature factor
ci m mol mol-1 Intercellular concentration of CO2 in air corrected for solubility relative to 25oC
cp J Kg-1 K-1 Specific heat capacity of dry air
Cov Coefficient of variation
Cp mol m-2 Leaf inorganic phosphate pool concentration
Cx mol m-2 Leaf sugar phosphate pool concentration
Ct mol m-2 Leaf starch phosphate pool concentration
Cc mol m-2 Leaf cytosolic sucrose pool concentration
Cv mol m-2 Leaf vacuolar sucrose pool concentration
Ca mol m-2 Leaf apoplastic sucrose pool concentration
Cl mol m-2 Stem loading volume
Cu mol m-2 Stem unloading volume
Cr mol m-2 Sink labile sucrose pool concentration
Cw mol m-2 Total dry weight growth in sink
Ch mol m-2 Sink vacuolar sucrose
Dj d Julian day (day of year)
Dstart d Day of year on which the sinusoidal temperature function is assumed to start
d dimensionless Zero plane displacement
E (J mol-1) Activation energy:
El mmol m-2 s-1 Evapo/transpiration rate at sunlit/shaded leaves in a canopy layer
Ec mmol m-2 s-1 Instantaneous canopy evapo/transpiration rate
Ed mol m-2 day-1 Cumulative daily evaporation from the soil surface.
Esoil mol m-2 s-1 Evaporation from the soil surface
Etot mmol m-2 yr-1 Ec integrated over the course of a year
eL kPa Saturated water VPD in the leaf
Fcanopy (m2 m-2) Canopy leaf area index
Fshade (m2 m-2) Canopy shaded leaf area index
Fsun (m2 m-2) Canopy sunlit leaf area index
Fsum (m2 m-2) Summed leaf area index from top of canopy to layer considered in calculation
ga (mmol m-2 s-1) Leaf boundary layer conductance
gs (mmol m-2 s-1) Leaf stomatal conductance
gs¢ (mmol m-2 s-1) Predicted leaf stomatal conductance
gc (mmol m-2 s-1) Canopy conductance of CO2
gwmod Water stress stomatal conductance modifier
gws Species dependent water stress sensitivity factor
g0 dimensionless Stomatal slope factor
g1 dimensionless Stomatal intercept factor
h Simulated total daily rainfall
hr h Hour of day
hs % Relative humidity
hcanopy m Height of canopy
hms m Wind speed measurement height
hlayer m Height of canopy layer above ground
I m mol m-2 s-1 Photon flux
Iabs m mol m-2 s-1 Photon flux absorbed by either sunlit or shaded leaves within a canopy layer
Idir m mol m-2 s-1 Photon flux in direct solar beam
Idiff m mol m-2 s-1 Photon flux in diffuse radiation
Itotal m mol m-2 s-1 Total photon flux incident on canopy
Is m mol m-2 s-1 Solar constant, photon flux in a plane perpendicular to the solar beam above the atmosphere
Isoil m mol m-2 s-1 Photon flux incident on the soil surface
Ja J s-1 Total solar radiation incident on sunlit or shaded leaves within a canopy layer
Jox mol m-2 s-1 Photosynthetic assimilation rate (Aleaf)
Jxt mol m-2 s-1 Rate of sugar phosphate conversion to starch
Jtx mol m-2 s-1 Rate of re-conversion of starch to sugar phosphate
Jxc mol m-2 s-1 Rate of conversion from sugar phosphate to cytosolic
Jal mol m-2 s-1 Rate of transfer from apoplastic to loading at phloem
Jla mol m-2 s-1 Reverse transfer from loading phloem to apoplastic
Jcv mol m-2 s-1 Rate of transfer from cytosolic to vacuolar pools
Jvc mol m-2 s-1 Reverse transfer rate from vacuolar to cytosolic pools
Jac mol m-2 s-1 Reverse transfer from apoplastic to cytosolic pool
Jca mol m-2 s-1 Rate of transfer between cytosolic and apoplastic pool
Jlu mol m-2 s-1 Sucrose transfer rate in phloem
Jur mol m-2 s-1 Rate of unloading from phloem to labile sucrose pool
Jrh mol m-2 s-1 Rate of transfer between labile and sink vacuolar pool
Jhr mol m-2 s-1 Rate of transfer between labile and sink vacuolar pool
Jro mol m-2 s-1 Rate of sink associated respiration
Jwr mol m-2 s-1 Rate of growth matter flow to sink labile sucrose pool
Jrw mol m-2 s-1 Rate of growth formation from labile sucrose pool
k dimensionless Foliar absorption coefficient
KCO2 mol m-2 s-1 Initial slope of photosynthetic CO2 response
KN dimensionless Canopy nitrogen extinction coefficient
kleaf dimensionless Carbon partitioning coefficient to the leaf
kstem dimensionless Carbon partitioning coefficient to the stem
ksroot dimensionless Carbon partitioning coefficient to the structural root
kstroot dimensionless Carbon partitioning coefficient to the storage root
kfroot dimensionless Carbon partitioning coefficient to the fine root
kseed dimensionless Carbon partitioning coefficient to the seed
kslope mol m-1 Initial slope of photosynthetic light response
kwind dimensionless Wind extinction coefficient
kxx s-1 Michaelis-Menten rate constants associated with the mechanistic carbon partitioning model.
L (i) m m-3 Rooting density in soil layer i
Lb Leaf boundary layer conductance
LCP Light compensation point
LN g m-2 Leaf nitrogen concentration
Lw m Leaf width in the direction of the wind
l m2 m-2 Leaf area index of sunlit or shaded leaves within a canopy layer, (l= lsun or l= lshade)
lsun m2 m-2 Leaf area index of sunlit leaves within a canopy layer
lshade m2 m-2 Leaf area index of shaded leaves within a canopy layer
n days Number of days in a month
Neff Effective length of rainy days
nr days Number of rainy days in a month
nsoil Number of soil layers
p Probability that there will be no rainfall
P kPa Atmospheric pressure
Pday day Planting day (applies to annual plants)
Po kPa Standard atmospheric pressure at sea level
Ps kPa Leaf surface partial pressure of CO2
PSII m mol m-2 s-1 Irradiance absorbed by photosystem II
r v¢ Saturated water vapour concentration (look up table)
r Kg m-3 Density of dry air (look up table)
q dimensionless Probability of rainfall on a given day
Q10 dimensionless Is the proportional rise in a parameter for a 10oC increase in temperature
r dimensionless Leaf reflection coefficient for total solar radiation
r~ Mean daily rainfall
R J k-1 mol-1 Real gas constant
Ro m mol m-2 s-1 Dark respiration rate at 25oC
Rd m mol m-2 s-1 Dark respiration at a given temperature
Rs m3 kg-1 s-1 Soil resistance
RI m3 kg-1 s-1 Soil interface resistance
Rr m3 kg-1 s-1 Root endodermis resistance
Rx m3 kg-1 s-1 Stem xylem resistance
RL m3 kg-1 s-1 Leaf resistance
Rtotal m mol m-2 s-1 Total plant respiration (dark+photo)
s kPa K-1 Slope of saturated water vapour pressure change with respect to temperature (look up table)
sc g m-2 Soil carbon content
sn g m-2 Soil nitrogen content
sp Spectral imbalance
Sr Soil reflectance
St Soil transmissivity
Ssize m Average size of soil particles
t h Time of day
TP m mol mol Triose phosphate concentration in the leaf
tpu m mol m-2 s-1 Rate of triose phosphate utilization
tsn h Time of solar noon
tlen h Daylength
Tair oC Ambient air temperature
Tleaf oC Leaf temperature
Tsoil oC Soil temperature
T1 oC Annual mean air temperature
T2 oC Annual range in air temperature
T3 oC Average daily range in air temperature
T4 oC Maximum daily range in air temperature
u m s-1 Measured wind speed (at known height of 2m)
ulayer m s-1 Wind speed in a given canopy layer
usoil m s-1 Wind speed at soil surface
Vcmax m mol m-2 s-1 Maximum rubP saturated rate of carboxylation at a given temperature
Vcmaxo m mol m-2 s-1 Maximum rubP saturated rate of carboxylation at 25oC
VPD kPa Air, water vapour pressure deficit
Z max m Maximum depth of plant root penetration
Zsoil (i) m Vertical distance from soil surface to soil layer i
zo m Roughness length
k dimensionless von Karman’s constant
c dimensionless The ratio of horizontal:vertical projected area of leaves in the canopy segment
a dimensionless Atmospheric transmittance
a slope mol m-1 Initial slope of photosynthetic CO2 response
b dimensionless Curvature parameter
d o Solar declination
W o Latitude
q o Solar zenith angle
q curve dimensionless Curvature parameter
qsoil,N m3 m-3 Water volumetric content of the soil layer N
q* m3 m-3 Field capacity of the soil
q1 m3 m-3 Critical value of the soil
q2 m3 m-3 Wilting point of the soil
t dimensionless Leaf transmission coefficient for solar radiation
l MJ/Kg Latent heat of vaporization (look up table)
g Pa K-1 ‘psychrometer constant’ (look up table)
w g m-2 Total dry weight of all plant material
w leaf g m-2 Dry weight of material in leaf pool
w stem g m-2 Dry weight of material in stem pool
w sroot g m-2 Dry weight of material in the structural root pool
w stroot g m-2 Dry weight of material in the storage root pool
w froot g m-2 Dry weight of material in the fine root pool
w seed g m-2