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Table 2 Nomenclature (model variables and parameters used in this document)

From: SurEau: a mechanistic model of plant water relations under extreme drought

Plant

C

Capacitance (specific to apoplasm)

mmol MPa−1

Modulus of elasticity

MPa

π0

Osmotic potential at full turgor (specific to symplasm)

MPa

P50

Water potential causing 50% cavitation in the xylem

MPa

Slope

Slope of the curve at P50

% MPa−1

k

Specific conductivity (is defined between compartments)

mmol.MPa−1m2s−1

K

Conductance (k times the surface exchange area)

mmol.MPa−1s−1

LAI

Leaf area index

m2 m−2

Area

Developed area of the organ considered

m2

E

Transpiration rate

mmol.m2.s−1

gcanopy

Canopy conductance

mmol.m2.s−1

gcrown

Crown conductance

mmol.m2.s−1

gbound0

Reference leaf boundary layer conductance

mmol.m2.s−1

gbound

Leaf boundary layer conductance

mmol.m2.s−1

gstom

Stomatal conductance

mmol.m2.s−1

gstom-max

Maximal stomatal conductance

mmol.m2.s−1

gstom300

Stomatal conductance at a reference [CO2] of 300 ppm

mmol.m2.s−1

gstom_PAR

Stomatal response to PAR

-

δ

Shape parameter of the gs(PAR) relationship

-

Toptim

Temperature at maximal conductance

°C

Tsens

Stomatal conductance sensitivity to temperature

-

γ

Factor for the regulation of gStom by turgor loss

-

Tpref

Reference turgor pressure for the onset of gStom regulation

MPa

frac

Fraction coefficient to compute of Tpref based on tlp

-

Pgs12

Water potential causing 12% stomatal closure

MPa

Pgs88

Water potential causing 88% stomatal closure

MPa

gcuti

Cuticular conductance

mmol.m2.s−1

gcuti20

Cuticular conductance at the reference temperature

mmol.m2.s−1

Tphase

Temperature for phase transition of gcuti

°C

Q10a

Q10 values for gcuti = f(T) below Tphase

-

Q10b

Q10 values for gcuti = f(T) above Tphase

-

Torgan

Organ temperature

°C

Fluid

Water fluidity (temperature dependent)

-

OT

Osmotic potential dependence to temperature

-

ST

Surface tension (temperature dependent)

-

Rs

Relative water deficit of the symplasm

-

Prefill

Threshold apoplasmic water potential for xylem refilling

MPa

Soil

REW

Relative extractable water

-

gsoil

Soil conductance to water vapor

mmol.m−2.s−1

θs

Soil water content at saturation

-

θfc

Soil water content at field capacity

-

θr

Soil residual water content

-

ksat

Soil hydraulic conductivity at saturation

 

α

In verse of the pressure air entry (Van-Genuchten model)

MPa−1

n

Pore size distribution index (Van-Genuchten equation)

 

l

Shape parameter (Van-Genuchten equation)

 

Lv

Root length per unit soil volume

m.m−3

La

Root length per unit soil area

m.m−2

r

Root radius

m

Ksoil

Soil hydraulic conductance

 

ρ

Parameter accentuating the isolation of the root system

 

KR.interf

Soil-root interface hydraulic conductance

 

Ambiant

T

Temperature

°C

PAR

Photosynthetic active radiation

μmol.m−2.s−1

esat

Saturation vapor pressure

kPa

e

Actual vapor pressure

kPa

VPD

Vapor pressure deficit

kPa

Wind

Wind speed

m.s−1

RH

Air relative humidity

%

Patm

Atmospheric pressure

kPa

Ca

Air CO2 concentration

ppm