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Table 1 Summary of previous stomatal conductance ( g ) models

From: Application of temperature, water stress, CO2 in rice growth models

No

Method reference

Equation

Forcing parameters

Coefficient

Function

T a

CO2

H

 

Oren-type (method by environmental factors)

1

[Oren et al. (1999])

g = − m ln ( V P D ) + b

VPD

m, b

×

×

â—‹

2

[Granier et al. (1996])

g = [ a R s + b ] [ 1 − m ln ( V P D ) ]

R s , VPD

a, b, m

×

×

â—‹

3

[Lu et al. (2003])

g = { a R s + b [ R s / ( R s + d ) ] [ a + b ( c VPD ) ] i f R s < 200 W m − 2 i f R s > 200 W m − 2

R s , VPD

a, b, d, c

×

×

â—‹

 

Jarvis-type (method by environmental factors)

4

([Jarvis et al. 1976])

g = g max f 1 ( P A R ) f 2 ( V P D ) f 3 ( T ) f 4 ( S W ) f 5 ( C a )

PAR, VPD, T, S W , C a

g max

â—‹

â—‹

â—‹

5

[Massman & Kaufmann (1991])

g = g min + g max f 1 ( P A R ) f 2 ( V P D ) f 3 ( T ) f 4 ( S W ) f 5 ( C a )

PAR, VPD, T, S W , C a

g max , g min

â—‹

â—‹

â—‹

6

[Noilhan and Planton (1989])

g = g min L A I [ f 1 ( P A R ) f 2 ( V P D ) f 3 ( T ) f 4 ( S W ) f 5 ( C a ) ]

PAR, VPD, T, S W , C a , LAI

g min

â—‹

â—‹

â—‹

7

[Avissar and Pielke (1991])

g = Ω g max [ g min + ( g max − g min ) ñ f 1 ( P A R ) f 2 ( V P D ) f 3 ( T ) f 4 ( S W ) f 5 ( C a ) ]

R s , VPD, T, W, C a

g max , g min , Ω

â—‹

â—‹

â—‹

 

Norman-type (Physiological models)

      

8

([Norman et al. 1982])

g = A n ( C a − C i )

A n , C a , C i

.

â—‹*

â—‹

â—‹

9

([Jones, 1992])

g = 1.6 A n ( C a − C i ) R T k p

A n , C a , C i , p,

.

â—‹*

â—‹

â—‹

10

[Knorr (2000)]

g = 1 1 + b e V P D 1.6 A n ( C a − C i ) R T k p

A n , C a , C i , p, VPD

b e

â—‹*

â—‹

â—‹

11

Kim & [Verma (1991)]

g = 1 − V P D b D 1.6 A n ( C a − C i ) − 1.37 A n g l

A n , C a , C i , p, VPD

b D

â—‹*

â—‹

â—‹

 

Ball-type (Physiological models)

      

12

([Ball et al. 1987])

g = m A n C s h s + b

A n , C s , h s

m, b

â—‹*

â—‹

â—‹

13

[Leuning (1995])

g = m A n ( C s − Γ ) h s + b

A n , C s , h s

m, b, Γ

â—‹*

â—‹

â—‹

14

In this study

g = ( k C i ) [ 1 − ( C a / C i ) ( V P D / V P D max ) ] A n ( C s − Γ ) h s + b

A n , C s , h s , C i

k, b, C a , VPD max

â—‹*

â—‹

â—‹

  1. Note: H: humidity, g: stomatal conductance, R s : incoming solar radiation, T a ; air temperature, VPD: vapor pressure deficit, S w : soil moisture, C a : atmospheric [CO2], C i : intercellular [CO2], LAI: leaf area index, A n : net photosynthesis, g max : maximum stomatal conductance, g min : minimum stomatal conductance, Ω: leaf age function, p: air pressure of the standard atmosphere, b e is the coefficient according to soil water status, Γ: CO2 compensation point in photosynthesis. (○*: indirectly considered in formula, ○: directly considered, ×: not considered).