光响应曲线的指数改进模型与常用模型比较

doi:10.3724/SP.J.1258.2012.01277

摘要/Abstract

摘要：

光响应曲线的参数是研究植物生理状态的重要指标, 常用的光响应曲线模型无法准确地计算出光饱和点和最大净光合速率。该文利用光响应曲线新模型——指数改进模型、直角双曲线模型、直角双曲线修正模型、非直角双曲线模型和指数模型, 拟合高粱(Sorghum bicolor)、苋(Amaranthus tricolor)、大麦(Hordeum vulgare)和半夏(Pinellia ternata)的光响应曲线, 并随机选取部分数据进行检验, 得到了各模型计算出的主要生理参数, 并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性, 描述了C₃、C₄植物光响应的适宜性。结果表明, 基于C₃植物得到的指数改进模型和直角双曲线修正模型能较准确地计算出C₃、C₄植物饱和光强和最大净光合速率, 并在描述光响应曲线时比另外3个模型具有更高的精确性和适宜性。实验结果可为光响应曲线模型在C₃和C₄光合途径植物中的应用提供参考。

关键词: 光响应曲线, 光饱和点, 最大净光合速率, 指数改进模型

Abstract:

Aims Our primary aim was to compare the differences and accuracies of light-response curves between C₃ and C₄ plants as described by five light-response curve models: modified exponential (a new model), rectangular hyperbola, modified rectangular hyperbola , non-rectangular hyperbola and exponential. Methods Light-response curves of Xizang hulless barley (Hordeum vulgare), grain sorghum (Sorghum bicolor), amaranth (Amarantus mangestbus) and Pinellia ternate were measured by a portable photosynthetic gas analysis system with a LED radiation source (LI-6400). The collected data were used to fit and test the five light-response curve models, and photosynthetic parameters, such as light saturation point and maximum net photosynthetic rate, were compared with the measured values. Important findings The results show that the light-response curves of the four plants described by the modified exponential and modified rectangular hyperbola models are better than the rectangular hyperbola, non-rectangular hyperbola and exponential models, especially when light intensity is beyond the light saturation point. The results also indicate that the modified exponential and modified rectangular hyperbola models also describe the light-response curves characteristics of C₄ plants, although the two models were established based on C₃plants. Therefore, these two models provide a reference for the application of light-response curve models in plants with different photosynthetic pathways including C₃ and C₄.

Key words: light response curves, light saturation point, maximum net photosynthetic rate, modified exponential model

陈卫英, 陈真勇, 罗辅燕, 彭正松, 余懋群. 光响应曲线的指数改进模型与常用模型比较. 植物生态学报, 2012, 36(12): 1277-1285. DOI: 10.3724/SP.J.1258.2012.01277

CHEN Wei-Ying, CHEN Zhen-Yong, LUO Fu-Yan, PENG Zheng-Song, YU Mao-Qun. Comparison between modified exponential model and common models of light-response curve. Chinese Journal of Plant Ecology, 2012, 36(12): 1277-1285. DOI: 10.3724/SP.J.1258.2012.01277

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链接本文: https://www.plant-ecology.com/CN/10.3724/SP.J.1258.2012.01277

https://www.plant-ecology.com/CN/Y2012/V36/I12/1277

图/表 3

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材料 Material	模型 Model	拟合值的MSE Fitted MSE	拟合值的MAE Fitted MAE	预测值的MSE Test MSE	预测值的MAE Test MAE
高粱 Sorghum bicolor	指数改进模型 Modified exponential model	0.092	0.239	0.070	0.239
	直角双曲线修正模型 Modified rectangular hyperbola model	0.159	0.320	0.112	0.295
	直角双曲线模型 Rectangular hyperbola model	0.329	0.476	0.363	0.527
	非直角双曲线模型 Nonrectangular hyperbola model	0.052	0.192	0.217	0.383
	指数模型 Exponential model	0.098	0.243	0.065	0.204
苋 Amaranthus tricolor	指数改进模型 Modified exponential model	0.043	0.186	0.119	0.272
	直角双曲线修正模型 Modified rectangular hyperbola model	0.049	0.186	0.208	0.357
	直角双曲线模型 Rectangular hyperbola model	0.325	0.458	1.113	0.757
	非直角双曲线模型 Nonrectangular hyperbola model	0.194	0.363	0.217	0.409
	指数模型 Exponential model	0.053	0.215	0.235	0.320
半夏 Pinellia ternata	指数改进模型 Modified exponential model	0.116	0.288	0.404	0.308
	直角双曲线修正模型 Modified rectangular hyperbola model	0.042	0.160	0.190	0.235
	直角双曲线模型 Rectangular hyperbola model	0.494	0.569	1.569	0.912
	非直角双曲线模型 Nonrectangular hyperbola model	0.261	0.402	1.026	0.628
	指数模型 Exponential model	0.210	0.295	0.919	0.514
大麦‘藏青320’ Hordeum vulgare ‘zangqing320’	指数改进模型 Modified exponential model	0.070	0.237	0.250	0.307
	直角双曲线修正模型 Modified rectangular hyperbola model	0.023	0.122	0.107	0.214
	直角双曲线模型 Rectangular hyperbola model	0.548	0.643	1.490	0.778
	非直角双曲线模型 Nonrectangular hyperbola model	0.192	0.324	0.855	0.626
	指数模型 Exponential model	0.114	0.224	0.586	0.453

材料 Material	模型 Model	拟合值的MSE Fitted MSE	拟合值的MAE Fitted MAE	预测值的MSE Test MSE	预测值的MAE Test MAE
高粱 Sorghum bicolor	指数改进模型 Modified exponential model	0.092	0.239	0.070	0.239
	直角双曲线修正模型 Modified rectangular hyperbola model	0.159	0.320	0.112	0.295
	直角双曲线模型 Rectangular hyperbola model	0.329	0.476	0.363	0.527
	非直角双曲线模型 Nonrectangular hyperbola model	0.052	0.192	0.217	0.383
	指数模型 Exponential model	0.098	0.243	0.065	0.204
苋 Amaranthus tricolor	指数改进模型 Modified exponential model	0.043	0.186	0.119	0.272
	直角双曲线修正模型 Modified rectangular hyperbola model	0.049	0.186	0.208	0.357
	直角双曲线模型 Rectangular hyperbola model	0.325	0.458	1.113	0.757
	非直角双曲线模型 Nonrectangular hyperbola model	0.194	0.363	0.217	0.409
	指数模型 Exponential model	0.053	0.215	0.235	0.320
半夏 Pinellia ternata	指数改进模型 Modified exponential model	0.116	0.288	0.404	0.308
	直角双曲线修正模型 Modified rectangular hyperbola model	0.042	0.160	0.190	0.235
	直角双曲线模型 Rectangular hyperbola model	0.494	0.569	1.569	0.912
	非直角双曲线模型 Nonrectangular hyperbola model	0.261	0.402	1.026	0.628
	指数模型 Exponential model	0.210	0.295	0.919	0.514
大麦‘藏青320’ Hordeum vulgare ‘zangqing320’	指数改进模型 Modified exponential model	0.070	0.237	0.250	0.307
	直角双曲线修正模型 Modified rectangular hyperbola model	0.023	0.122	0.107	0.214
	直角双曲线模型 Rectangular hyperbola model	0.548	0.643	1.490	0.778
	非直角双曲线模型 Nonrectangular hyperbola model	0.192	0.324	0.855	0.626
	指数模型 Exponential model	0.114	0.224	0.586	0.453

材料 Material	模型 Model	LCP	LSP	P_max	R_dark	φ₀	θ
高粱 Sorghum bicolor	观测值 Measured value	40-50	2 200	19.362	1.616	-	-
	指数改进模型 Modified exponential model	42.815	1 952	16.944	1.911	0.047	-
	直角双曲线修正模型 Modified rectangular hyperbola model	41.033	2 071	18.873	1.981	0.051	-
	直角双曲线模型 Rectangular hyperbola model	40.600	-	26.028	2.347	0.064	-
	非直角双曲线模型 Nonrectangular hyperbola model	41.398	-	22.043	1.585	0.039	0.776
	指数模型 Exponential model	41.438	-	20.892	1.835	0.046	-
苋 Amaranthus tricolor	观测值 Measured value	80-100	2 200	39.618	5.626	-	-
	指数改进模型 Modified exponential model	95.385	2 295	40.720	5.390	0.060	-
	直角双曲线修正模型 Modified rectangular hyperbola model	94.607	2 574	40.099	5.484	0.062	-
	直角双曲线模型 Rectangular hyperbola model	90.161	-	65.378	6.135	0.075	-
	非直角双曲线模型 Nonrectangular hyperbola model	97.738	-	50.000	4.719	0.049	0.809
	指数模型 Exponential model	94.924	-	48.382	5.502	0.062	-
半夏 Pinellia ternata	观测值 Measured value	0-20	1 200	11.762	0.630	-	-
	指数改进模型 Modified exponential model	8.012	967	11.619	0.422	0.054	-
	直角双曲线修正模型 Modified rectangular hyperbola model	9.839	1 122	11.729	0.610	0.064	-
	直角双曲线模型 Rectangular hyperbola model	11.167	-	13.424	0.987	0.095	-
	非直角双曲线模型 Nonrectangular hyperbola model	8.680	-	11.822	0.392	0.045	0.906
	指数模型 Exponential model	10.910	-	11.882	0.651	0.061	-
大麦‘藏青320’ Hordeum vulgare ‘zangqing320’	观测值 Measured value	20-40	1 600	19.953	1.399	-	-
	指数改进模型 Modified exponential model	21.611	1 577	19.601	1.150	0.055	-
	直角双曲线修正模型 Modified rectangular hyperbola model	23.327	1 580	19.743	1.386	0.062	-
	直角双曲线模型 Rectangular hyperbola model	25.536	-	25.439	2.061	0.088	-
	非直角双曲线模型 Nonrectangular hyperbola model	23.828	-	22.182	1.237	0.053	0.768
	指数模型 Exponential model	23.897	-	21.083	1.381	0.060	-

材料 Material	模型 Model	LCP	LSP	P_max	R_dark	φ₀	θ
高粱 Sorghum bicolor	观测值 Measured value	40-50	2 200	19.362	1.616	-	-
	指数改进模型 Modified exponential model	42.815	1 952	16.944	1.911	0.047	-
	直角双曲线修正模型 Modified rectangular hyperbola model	41.033	2 071	18.873	1.981	0.051	-
	直角双曲线模型 Rectangular hyperbola model	40.600	-	26.028	2.347	0.064	-
	非直角双曲线模型 Nonrectangular hyperbola model	41.398	-	22.043	1.585	0.039	0.776
	指数模型 Exponential model	41.438	-	20.892	1.835	0.046	-
苋 Amaranthus tricolor	观测值 Measured value	80-100	2 200	39.618	5.626	-	-
	指数改进模型 Modified exponential model	95.385	2 295	40.720	5.390	0.060	-
	直角双曲线修正模型 Modified rectangular hyperbola model	94.607	2 574	40.099	5.484	0.062	-
	直角双曲线模型 Rectangular hyperbola model	90.161	-	65.378	6.135	0.075	-
	非直角双曲线模型 Nonrectangular hyperbola model	97.738	-	50.000	4.719	0.049	0.809
	指数模型 Exponential model	94.924	-	48.382	5.502	0.062	-
半夏 Pinellia ternata	观测值 Measured value	0-20	1 200	11.762	0.630	-	-
	指数改进模型 Modified exponential model	8.012	967	11.619	0.422	0.054	-
	直角双曲线修正模型 Modified rectangular hyperbola model	9.839	1 122	11.729	0.610	0.064	-
	直角双曲线模型 Rectangular hyperbola model	11.167	-	13.424	0.987	0.095	-
	非直角双曲线模型 Nonrectangular hyperbola model	8.680	-	11.822	0.392	0.045	0.906
	指数模型 Exponential model	10.910	-	11.882	0.651	0.061	-
大麦‘藏青320’ Hordeum vulgare ‘zangqing320’	观测值 Measured value	20-40	1 600	19.953	1.399	-	-
	指数改进模型 Modified exponential model	21.611	1 577	19.601	1.150	0.055	-
	直角双曲线修正模型 Modified rectangular hyperbola model	23.327	1 580	19.743	1.386	0.062	-
	直角双曲线模型 Rectangular hyperbola model	25.536	-	25.439	2.061	0.088	-
	非直角双曲线模型 Nonrectangular hyperbola model	23.828	-	22.182	1.237	0.053	0.768
	指数模型 Exponential model	23.897	-	21.083	1.381	0.060	-

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