指数改进模型在大麦光合-CO2响应曲线中的适用性

doi:10.3724/SP.J.1258.2013.00067

摘要/Abstract

摘要：

光合-CO₂响应曲线是研究植物对CO₂响应的重要工具。常用的光合-CO₂响应曲线模型, 除直角双曲线修正模型外, 均无法准确地计算出CO₂饱和点和光合能力。该文利用新的指数改进模型拟合大麦(Hordeum vulgare)光合-CO₂响应曲线, 与直角双曲线修正模型、直角双曲线模型、指数模型、非直角双曲线模型进行比较, 并随机选取部分数据进行检验, 同时得到了各个光合-CO₂响应曲线模型的主要生理参数, 对这些数据进行了比较分析, 讨论了各模型之间的优缺点和准确合理性。结果表明, 指数改进模型在5个模型中具有最好的精确度和合理性, 能准确地描述出大麦的光合-CO₂响应曲线, 计算出CO₂饱和点为484 μmol∙mol^-1, 光合能力为25.9 μmol CO₂∙m^-2∙s^-1。

关键词: 大麦, 指数改进模型, 光合能力, 光合-CO₂响应曲线, CO₂饱和点

Abstract:

Aims The photosynthetic-CO₂ response curve is an important tool for understanding the response of plants to CO₂. Common models of photosynthetic-CO₂ response curve can not calculate the max net photosynthetic rate accurately. In our study, we used a new model called the modified exponential model to simulate the relationship between net photosynthetic rate and CO₂ concentration of barley. We then compared the differences and accuracies with the modified rectangular hyperbola model, rectangular hyperbola model, nonrectangular hyperbola model and exponential model. Our objectives were to test the merit and precision of these models and provide reference for selecting the best models for the photosynthetic-CO₂ response curves of plants.
Methods The CO₂-response curves of Tibetan hulless barley were recorded with an infrared gas analyzer system (LI-6400). The measured data were used to simulate and test the precision of the models. Mean square error (MSE) and mean absolute error (MAE) were used to evaluate the precision of the models. Some predicted physiological parameters of the four models were compared with the measured values.
Important findings The photosynthetic-CO₂ response curves of barley were best described by the modified exponential model. The CO₂ saturation point and maximum net photosynthetic rate of barley obtained by the modified exponential model were 25.9 μmol CO₂∙m^-2∙s^-1 and 484 μmol∙mol^-1, respectively.

Key words: Hordeum vulgare, modified exponential model, photosynthetic capacity, photosynthetic-CO₂ response curve, saturation CO₂ concentration

罗辅燕,陈卫英,陈真勇. 指数改进模型在大麦光合-CO₂响应曲线中的适用性. 植物生态学报, 2013, 37(7): 650-655. DOI: 10.3724/SP.J.1258.2013.00067

LUO Fu-Yan,CHEN Wei-Ying,CHEN Zhen-Yong. Applicability of modified exponential model in photosynthetic-CO₂ response curve of barley. Chinese Journal of Plant Ecology, 2013, 37(7): 650-655. DOI: 10.3724/SP.J.1258.2013.00067

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https://www.plant-ecology.com/CN/Y2013/V37/I7/650

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参考文献 22

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模型 Model	R²	拟合值的MSE Fitted MSE	拟合值的MAE Fitted MAE	测试值的MSE Test MSE	测试值的MAE Test MAE
指数改进模型 Modified exponential model	0.998	0.177	0.297	0.133	0.306
直角双曲线修正模型 Modified rectangular hyperbola model	0.998	0.173	0.381	0.697	0.666
直角双曲线模型 Rectangular hyperbola model	0.888	13.461	2.990	14.258	2.867
指数模型 Exponential model	0.918	8.369	2.035	5.736	1.566
非直角双曲线模型 Nonrectangular hyperbola model	0.919	8.276	1.977	5.251	1.532

模型 Model	R²	拟合值的MSE Fitted MSE	拟合值的MAE Fitted MAE	测试值的MSE Test MSE	测试值的MAE Test MAE
指数改进模型 Modified exponential model	0.998	0.177	0.297	0.133	0.306
直角双曲线修正模型 Modified rectangular hyperbola model	0.998	0.173	0.381	0.697	0.666
直角双曲线模型 Rectangular hyperbola model	0.888	13.461	2.990	14.258	2.867
指数模型 Exponential model	0.918	8.369	2.035	5.736	1.566
非直角双曲线模型 Nonrectangular hyperbola model	0.919	8.276	1.977	5.251	1.532

模型 Model	初始羧化效率 α	光合能力 P_max	CO₂饱和点 C_isat	CO₂补偿点 Γ	光呼吸速率 R_p
观测值 Measured value	-	25.7	570	44.2-47.9	-
指数改进模型 Modified exponential model	0.23	25.9	484	47.6	9.5
直角双曲线修正模型 Modified rectangular hyperbola model	0.33	25.1	524	47.8	12.5
直角双曲线模型 Rectangular hyperbola model	0.62	39.0	-	41.2	15.4
指数模型 Exponential model	0.41	36.1	-	47.8	15.1
非直角双曲线模型 Nonrectangular hyperbola model	0.17	29.1	-	48.5	8.3

模型 Model	初始羧化效率 α	光合能力 P_max	CO₂饱和点 C_isat	CO₂补偿点 Γ	光呼吸速率 R_p
观测值 Measured value	-	25.7	570	44.2-47.9	-
指数改进模型 Modified exponential model	0.23	25.9	484	47.6	9.5
直角双曲线修正模型 Modified rectangular hyperbola model	0.33	25.1	524	47.8	12.5
直角双曲线模型 Rectangular hyperbola model	0.62	39.0	-	41.2	15.4
指数模型 Exponential model	0.41	36.1	-	47.8	15.1
非直角双曲线模型 Nonrectangular hyperbola model	0.17	29.1	-	48.5	8.3

指数改进模型在大麦光合-CO₂响应曲线中的适用性

Applicability of modified exponential model in photosynthetic-CO₂ response curve of barley

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