Investigation on CO2-response model of stomatal conductance for plants

doi:10.17521/cjpe.2020.0326

Abstract

Abstract:

Aims To quantify the responses of stomatal conductance (g_s) to CO₂ concentration (g_s-C_a) under current and future climate conditions, it is necessary to build a generally applicable model suitable for simulating this process at plant leaf levels.

Methods The response curves (A_n-C_a) of photosynthesis of soybean (Glycine max) and wheat (Triticum aestivum) to CO₂ were fitted using data collected from a portable photosynthetic apparatus (LI-6400). Based on the comparison between the traditional Michaelis-Menten model (M-M model) and the CO₂ response model developed by Ye, a new g_s-C_a response model was proposed. Then, the measured g_s-C_a curves of soybean and wheat were fitted with the new model. The model results were compared with those of the traditional model and the corresponding observation data to judge the rationality of the model.

Important findings The A_n-C_a model developed by Ye could fit well the A_n-C_a curve of soybean and wheat, and the coefficient of determination (R²) is as high as 0.999. Although the R ² values of M-M model fitting the A_n-C_a curves of soybean and wheat were also high, the fitting curves deviated from the observation at higher CO₂ concentrations. Meanwhile, M-M model greatly overestimated the maximum photosynthetic rate and could not estimate the saturation CO₂ concentrations. Therefore, it was more feasible to developg_s-C_a model based on the A_n-C_a model of Ye. The new model of g_s-C_a could fit well the g_s-C_a curves of soybean and wheat, and the R ² were 0.995 and 0.994, respectively. Moreover, the maximum stomatal conductance (g_s-max), the minimum stomatal conductance (g_s-min) and the CO₂ concentration corresponding to g_s-min (C_s-min) could also be generated directly. g_s-max of soybean and wheat fitted by the g_s-C_a model was 0.686 and 0.481 mol·m^-2·s^-1, respectively, and there was no significant difference between the fitted values and corresponding observation values (0.666 and 0.471 mol·m^-2·s^-1, respectively). The new model of g_s-C_a could also obtain the minimum g_s (g_s-min) of soybean and wheat (0.271 and 0.297 mol·m^-2·s^-1, respectively), and there was also no significant difference between the fitted values and corresponding observation values (0.279 and 0.293 mol·m^-2·s^-1, respectively). In addition, the new model of g_s-C_a generated the C_s-min values of 741.45 and 1 112.43 μmol·mol ^-1for soybean and wheat, respectively, and also showed no significant difference from the observed value (732.78 and 1 200.34 μmol·mol^-1, respectively). Consequently, the g_s-C_a model developed in this paper can be used as an effective mathematical tool to quantitatively study the effect of stomatal conductance on CO₂ concentration.

Key words: stomatal conductance, CO₂ response model, CO₂ concentration, photosynthesis

YE Zi-Piao, YU Feng, AN Ting, WANG Fu-Biao, KANG Hua-Jing. Investigation on CO₂-response model of stomatal conductance for plants[J]. Chin J Plant Ecol, 2021, 45(4): 420-428.

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URL: https://www.plant-ecology.com/EN/10.17521/cjpe.2020.0326

https://www.plant-ecology.com/EN/Y2021/V45/I4/420

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References 44

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参数 Parameter	物种 Species
	大豆 Soybean			小麦 Wheat
	叶模型 Ye model	M-M模型 M-M model	观测值 Observed data	叶模型 Ye model	M-M模型 M-M model	观测值 Observed data
初始斜率 α	0.101 ± 0.019 ^b	0.128 ± 0.014 ^a	-	0.101 ± 0.001 ^b	0.132 ± 0.001 ^a	-
最大羧化速率A_nmax (mol·m^-2·s^-1)	48.61 ± 5.52 ^b	93.71 ± 17.67 ^a	49.00 ± 4.33 ^b	68.13 ± 1.62 ^b	127.03 ± 4.42 ^a	68.02 ± 1.45 ^b
饱和CO₂浓度C_i,TPU (μmol·mol^-1)	1 328.28 ± 79.07 ^a	-	1 332.72 ± 66.52 ^a	1 596.73 ± 31.88 ^a	-	1 599.46 ± 0.25 ^a
CO₂补偿点 Γ (μmol·mol^-1)	66.32 ± 4.04 ^a	66.02 ± 4.48 ^a	70.32 ± 2.33 ^a	63.82 ± 1.59 ^b	64.91 ± 1.26 ^a	65.18 ± 1.13 ^ab
光下呼吸速率R_p (μmol·m^-2·s^-1)	6.22 ± 0.62 ^b	7.58 ± 0.19 ^a	5.39 ± 0.32 ^b	6.29 ± 0.22 ^b	8.06 ± 0.15 ^a	6.22 ± 0.26 ^b
确定系数 R²	0.999 8	0.996 3	-	0.999 9	0.995 3	-

参数 Parameter	物种 Species
	大豆 Soybean			小麦 Wheat
	叶模型 Ye model	M-M模型 M-M model	观测值 Observed data	叶模型 Ye model	M-M模型 M-M model	观测值 Observed data
初始斜率 α	0.101 ± 0.019 ^b	0.128 ± 0.014 ^a	-	0.101 ± 0.001 ^b	0.132 ± 0.001 ^a	-
最大羧化速率A_nmax (mol·m^-2·s^-1)	48.61 ± 5.52 ^b	93.71 ± 17.67 ^a	49.00 ± 4.33 ^b	68.13 ± 1.62 ^b	127.03 ± 4.42 ^a	68.02 ± 1.45 ^b
饱和CO₂浓度C_i,TPU (μmol·mol^-1)	1 328.28 ± 79.07 ^a	-	1 332.72 ± 66.52 ^a	1 596.73 ± 31.88 ^a	-	1 599.46 ± 0.25 ^a
CO₂补偿点 Γ (μmol·mol^-1)	66.32 ± 4.04 ^a	66.02 ± 4.48 ^a	70.32 ± 2.33 ^a	63.82 ± 1.59 ^b	64.91 ± 1.26 ^a	65.18 ± 1.13 ^ab
光下呼吸速率R_p (μmol·m^-2·s^-1)	6.22 ± 0.62 ^b	7.58 ± 0.19 ^a	5.39 ± 0.32 ^b	6.29 ± 0.22 ^b	8.06 ± 0.15 ^a	6.22 ± 0.26 ^b
确定系数 R²	0.999 8	0.996 3	-	0.999 9	0.995 3	-

参数 Parameter	物种 Species
	大豆 Soybean			小麦 Wheat
	新模型 New model	经验模型 Empirical model	观测值 Observed data	新模型 New model	经验模型 Empirical model	观测值 Observed data
初始斜率 α_i	(1.42 ± 0.68) × 10 ^-3	-	-	(7.22 ± 1.43) × 10 ^-4	-	-
系数 β_i(mol·mol^-1)	(6.14 ± 0.33) × 10 ^-4	-	-	(2.34 ± 0.73) × 10 ^-4	-	-
系数 γ_i (mol·mol^-1)	(7.02 ± 0.68) × 10 ^-4	-	-	(2.08 ± 0.35) × 10 ^-3	-	-
最大气孔导度 g_s-max (mol·m^-2·s^-1)	0.686 ± 0.154 ^a	0.615 ± 0.161 ^a	0.666 ± 0.151 ^a	0.481 ± 0.023 ^a	0.438 ± 0.013 ^a	0.471 ± 0.023 ^a
常数 C_s0(mol·mol^-1)	-	6 725.12 ± 3 765.30	-	-	2 781.66 ± 792.63	-
最小气孔导度 g_s-min (mol·m^-2·s^-1)	0.271 ± 0.062 ^a	-	0.279 ± 0.066 ^a	0.297 ± 0.018 ^a	-	0.293 ± 0.020 ^a
CO₂浓度 C_s-min (μmol·mol^-1)	741.45 ± 143.22 ^a	-	732.78 ± 133.14 ^a	1 112.43 ± 149.31 ^a	-	1 200.34 ± 200.38 ^a
确定系数 R²	0.995 1	0.727 3	-	0.994 1	0.984 2	-

参数 Parameter	物种 Species
	大豆 Soybean			小麦 Wheat
	新模型 New model	经验模型 Empirical model	观测值 Observed data	新模型 New model	经验模型 Empirical model	观测值 Observed data
初始斜率 α_i	(1.42 ± 0.68) × 10 ^-3	-	-	(7.22 ± 1.43) × 10 ^-4	-	-
系数 β_i(mol·mol^-1)	(6.14 ± 0.33) × 10 ^-4	-	-	(2.34 ± 0.73) × 10 ^-4	-	-
系数 γ_i (mol·mol^-1)	(7.02 ± 0.68) × 10 ^-4	-	-	(2.08 ± 0.35) × 10 ^-3	-	-
最大气孔导度 g_s-max (mol·m^-2·s^-1)	0.686 ± 0.154 ^a	0.615 ± 0.161 ^a	0.666 ± 0.151 ^a	0.481 ± 0.023 ^a	0.438 ± 0.013 ^a	0.471 ± 0.023 ^a
常数 C_s0(mol·mol^-1)	-	6 725.12 ± 3 765.30	-	-	2 781.66 ± 792.63	-
最小气孔导度 g_s-min (mol·m^-2·s^-1)	0.271 ± 0.062 ^a	-	0.279 ± 0.066 ^a	0.297 ± 0.018 ^a	-	0.293 ± 0.020 ^a
CO₂浓度 C_s-min (μmol·mol^-1)	741.45 ± 143.22 ^a	-	732.78 ± 133.14 ^a	1 112.43 ± 149.31 ^a	-	1 200.34 ± 200.38 ^a
确定系数 R²	0.995 1	0.727 3	-	0.994 1	0.984 2	-

Investigation on CO₂-response model of stomatal conductance for plants

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