. 2012 May 3;5:10. doi: 10.1186/1939-8433-5-10

Table 1.

Summary of previous stomatal conductance ( g ) models

No	Method reference	Equation	Forcing parameters	Coefficient	*Function*
No	Method reference	Equation	Forcing parameters	Coefficient	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	×	×	○
2	[Granier et al. (1996])	$g = [a R_{s} + b] [1 - m ln (V P D)]$	R _s , VPD	a, b, m	×	×	○
3	[Lu et al. (2003])	$g = {\begin{cases} a R_{s} + b \\ [R_{s} / (R_{s} + d)] [a + b (c^{VPD})] \end{cases}$ $\begin{array}{l} i f R_{s} < 200 W m^{- 2} \\ i f R_{s} > 200 W m^{- 2} \end{array}$	R _s , VPD	a, b, d, c	×	×	○
	*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	○	○	○
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	○	○	○
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	○	○	○
7	[Avissar and Pielke (1991])	$\begin{array}{l} g = Ω g_{max} [g_{min} + (g_{max} - g_{min}) \\ ñ f_{1} (P A R) f_{2} (V P D) f_{3} (T) f_{4} (S_{W}) f_{5} (C_{a})] \end{array}$	R _s , VPD, T, W, C _a	g _max , g _min , Ω	○	○	○
	*Norman-type (Physiological models)*
8	([Norman et al. 1982])	$g = \frac{A_{n}}{(C_{a} - C_{i})}$	A _n , C _a , C _i	.	○*	○	○
9	([Jones, 1992])	$g = 1.6 \frac{A_{n}}{(C_{a} - C_{i})} \frac{R T_{k}}{p}$	A _n , C _a , C _i , p,	.	○*	○	○
10	[Knorr (2000)]	$g = (\frac{1}{1 + b_{e} V P D}) 1.6 \frac{A_{n}}{(C_{a} - C_{i})} \frac{R T_{k}}{p}$	A _n , C _a , C _i , p, VPD	b _e	○*	○	○
11	Kim & [Verma (1991)]	$g = (1 - \frac{V P D}{b_{D}}) 1.6 \frac{A_{n}}{(C_{a} - C_{i}) - \frac{1.37}{A_{n} g_{l}}}$	A _n , C _a , C _i , p, VPD	b _D	○*	○	○
	*Ball-type (Physiological models)*
12	([Ball et al. 1987])	$g = m \frac{A_{n}}{C_{s}} h_{s} + b$	A _n , C _s , h _s	m, b	○*	○	○
13	[Leuning (1995])	$g = m \frac{A_{n}}{(C_{s} - Γ)} h_{s} + b$	A _n , C _s , h _s	m, b, Γ	○*	○	○
14	In this study	$g = {(k C_{i})}^{[1 - (C_{a} / C_{i}) (V P D / V P D_{max})]} \frac{A_{n}}{(C_{s} - Γ)} h_{s} + b$	A _n , C _s , h _s , C _i	k, b, C _a , VPD _max	○*	○	○

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).