Chin J Plant Ecol ›› 2017, Vol. 41 ›› Issue (12): 1289-1300.DOI: 10.17521/cjpe.2017.0158
• Research Articles • Previous Articles
Li Yi-Bo1,2, SONG He1,2, ZHOU Li3, XU Zhen-Zhu1,*(), ZHOU Guang-Sheng1,3,*()
Online:
2017-12-10
Published:
2018-02-23
Contact:
XU Zhen-Zhu,ZHOU Guang-Sheng
Li Yi-Bo, SONG He, ZHOU Li, XU Zhen-Zhu, ZHOU Guang-Sheng. Modeling study on photosynthetic-light response curves of a C4 plant, maize[J]. Chin J Plant Ecol, 2017, 41(12): 1289-1300.
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URL: https://www.plant-ecology.com/EN/10.17521/cjpe.2017.0158
Fig. 1 Comparison of measured and fitted values by six light response curves for maize under different drought treatment. A, Light response curves under control treatment. B, Light responses curves under continuous 12 days drought treatment. C, Light responses curves under continuous 26 days drought treatment.
处理 Treatment | 模型 Model | 初始量子效率 α (μmol·μmol-1 ) | 最大净光合速率 Pnmax (μmol·m-2·s-1) | 光饱和点 LSP (μmol·m-2·s-1) | 光补偿点 LCP (μmol·m-2·s-1) | 暗呼吸速率 Rd (μmol·m-2·s-1) |
---|---|---|---|---|---|---|
拔节期至抽雄期正常处理 control treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.072 | 52.08 | 1 287.62 | 52.73 | 3.55 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.041 | 36.17 | 912.31 | 58.26 | 2.37 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.049 | 32.22 | 1 536.90 | 57.42 | 2.76 | |
指数模型 Exponential model | 0.057 | 34.74 | 161.57 | 56.43 | 2.62 | |
二次函数模型 Quadratic function model | 0.047 | 32.56 | 1 512.69 | 57.23 | 2.61 | |
改进模型 Modified model | 0.043 | 31.88 | 1 596.85 | 58.80 | 2.23 | |
实测值 Measured value | - | 31.78 | 1 775.00 | 56.05 | 2.51 | |
拔节期至抽雄期干旱12天处理 continuous 12 days drought treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.078 | 37.05 | 886.63 | 59.43 | 4.14 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.040 | 27.42 | 674.09 | 64.88 | 2.68 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.053 | 24.41 | 1 390.46 | 66.07 | 3.35 | |
指数模型 Exponential model | 0.055 | 25.07 | 117.81 | 21.66 | 1.15 | |
二次函数模型 Quadratic function model | 0.042 | 25.60 | 1 340.60 | 59.19 | 2.42 | |
改进模型 Modified model | 0.047 | 24.08 | 1 398.59 | 67.91 | 2.88 | |
实测值 Measured value | - | 23.94 | 1 500.00 | 68.83 | 3.12 | |
拔节期至抽雄期干旱26天处理 continuous 26 days drought treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.073 | 17.00 | 740.68 | 33.52 | 2.13 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.023 | 12.84 | 572.64 | 36.57 | 0.85 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.036 | 14.04 | 1 033.40 | 47.55 | 1.65 | |
指数模型 Exponential model | 0.046 | 12.43 | 58.52 | 41.03 | 1.16 | |
二次函数模型 Quadratic function model | 0.029 | 14.61 | 1 094.81 | 46.37 | 1.32 | |
改进模型 Modified model | 0.022 | 14.18 | 889.19 | 56.63 | 1.33 | |
实测值 Measured value | - | 13.90 | 800.00 | 55.27 | 1.37 |
Table 1 Comparison between the fitted photosynthesis parameters by the models and the measured values
处理 Treatment | 模型 Model | 初始量子效率 α (μmol·μmol-1 ) | 最大净光合速率 Pnmax (μmol·m-2·s-1) | 光饱和点 LSP (μmol·m-2·s-1) | 光补偿点 LCP (μmol·m-2·s-1) | 暗呼吸速率 Rd (μmol·m-2·s-1) |
---|---|---|---|---|---|---|
拔节期至抽雄期正常处理 control treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.072 | 52.08 | 1 287.62 | 52.73 | 3.55 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.041 | 36.17 | 912.31 | 58.26 | 2.37 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.049 | 32.22 | 1 536.90 | 57.42 | 2.76 | |
指数模型 Exponential model | 0.057 | 34.74 | 161.57 | 56.43 | 2.62 | |
二次函数模型 Quadratic function model | 0.047 | 32.56 | 1 512.69 | 57.23 | 2.61 | |
改进模型 Modified model | 0.043 | 31.88 | 1 596.85 | 58.80 | 2.23 | |
实测值 Measured value | - | 31.78 | 1 775.00 | 56.05 | 2.51 | |
拔节期至抽雄期干旱12天处理 continuous 12 days drought treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.078 | 37.05 | 886.63 | 59.43 | 4.14 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.040 | 27.42 | 674.09 | 64.88 | 2.68 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.053 | 24.41 | 1 390.46 | 66.07 | 3.35 | |
指数模型 Exponential model | 0.055 | 25.07 | 117.81 | 21.66 | 1.15 | |
二次函数模型 Quadratic function model | 0.042 | 25.60 | 1 340.60 | 59.19 | 2.42 | |
改进模型 Modified model | 0.047 | 24.08 | 1 398.59 | 67.91 | 2.88 | |
实测值 Measured value | - | 23.94 | 1 500.00 | 68.83 | 3.12 | |
拔节期至抽雄期干旱26天处理 continuous 26 days drought treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.073 | 17.00 | 740.68 | 33.52 | 2.13 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.023 | 12.84 | 572.64 | 36.57 | 0.85 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.036 | 14.04 | 1 033.40 | 47.55 | 1.65 | |
指数模型 Exponential model | 0.046 | 12.43 | 58.52 | 41.03 | 1.16 | |
二次函数模型 Quadratic function model | 0.029 | 14.61 | 1 094.81 | 46.37 | 1.32 | |
改进模型 Modified model | 0.022 | 14.18 | 889.19 | 56.63 | 1.33 | |
实测值 Measured value | - | 13.90 | 800.00 | 55.27 | 1.37 |
处理 Treatment | 模型 Model | R2 | 拟合MSE Fitted MSE | 拟合MAE Fitted MAE | 实测MSE Test MSE | 实测MAE Test MAE |
---|---|---|---|---|---|---|
拔节期至抽雄期正常处理 control treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.991β8 | 1.68 | 1.08 | 3.74 | 1.50 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.999β6 | 0.08 | 0.24 | 0.86 | 0.81 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.999β4 | 0.12 | 0.29 | 1.01 | 0.82 | |
指数模型 Exponential model | 0.997β0 | 0.74 | 0.69 | 4.05 | 1.87 | |
二次函数模型 quadratic function model | 0.999β3 | 0.15 | 0.30 | 0.75 | 0.72 | |
改进模型 Modified model | 0.999β7 | 0.05 | 0.19 | 0.91 | 0.80 | |
拔节期至抽雄期干旱12天处理 continuous 12 days drought treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.984β7 | 1.52 | 1.03 | 3.19 | 1.22 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.995β8 | 0.40 | 0.52 | 0.58 | 0.49 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.997β3 | 0.25 | 0.45 | 0.49 | 0.61 | |
指数模型 Exponential model | 0.993β0 | 0.71 | 0.73 | 5.42 | 2.05 | |
二次函数模型 Quadratic function model | 0.992β7 | 0.74 | 0.76 | 0.71 | 0.57 | |
改进模型 Modified model | 0.997β2 | 0.26 | 0.39 | 0.39 | 0.36 | |
拔节期至抽雄期干旱26天处理 continuous 26 days drought treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.920β5 | 2.71 | 1.34 | 4.31 | 1.83 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.961β0 | 1.24 | 0.90 | 3.31 | 1.45 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.997β1 | 0.10 | 0.26 | 0.37 | 0.48 | |
指数模型 Exponential model | 0.950β8 | 1.73 | 1.06 | 5.20 | 1.60 | |
二次函数模型 quadratic function model | 0.992β0 | 0.31 | 0.48 | 0.61 | 0.71 | |
改进模型 Modified model | 0.999β2 | 0.03 | 0.14 | 0.14 | 0.21 |
Table 2 Comparison of precision of six light response curve models
处理 Treatment | 模型 Model | R2 | 拟合MSE Fitted MSE | 拟合MAE Fitted MAE | 实测MSE Test MSE | 实测MAE Test MAE |
---|---|---|---|---|---|---|
拔节期至抽雄期正常处理 control treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.991β8 | 1.68 | 1.08 | 3.74 | 1.50 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.999β6 | 0.08 | 0.24 | 0.86 | 0.81 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.999β4 | 0.12 | 0.29 | 1.01 | 0.82 | |
指数模型 Exponential model | 0.997β0 | 0.74 | 0.69 | 4.05 | 1.87 | |
二次函数模型 quadratic function model | 0.999β3 | 0.15 | 0.30 | 0.75 | 0.72 | |
改进模型 Modified model | 0.999β7 | 0.05 | 0.19 | 0.91 | 0.80 | |
拔节期至抽雄期干旱12天处理 continuous 12 days drought treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.984β7 | 1.52 | 1.03 | 3.19 | 1.22 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.995β8 | 0.40 | 0.52 | 0.58 | 0.49 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.997β3 | 0.25 | 0.45 | 0.49 | 0.61 | |
指数模型 Exponential model | 0.993β0 | 0.71 | 0.73 | 5.42 | 2.05 | |
二次函数模型 Quadratic function model | 0.992β7 | 0.74 | 0.76 | 0.71 | 0.57 | |
改进模型 Modified model | 0.997β2 | 0.26 | 0.39 | 0.39 | 0.36 | |
拔节期至抽雄期干旱26天处理 continuous 26 days drought treatment between jointing stage and tasseling stage | 直角双曲线模型 Rectangular hyperbolic model | 0.920β5 | 2.71 | 1.34 | 4.31 | 1.83 |
非直角双曲线模型 Non-rectangular hyperbolic model | 0.961β0 | 1.24 | 0.90 | 3.31 | 1.45 | |
直角双曲线修正模型 Modified rectangular hyperbolic model | 0.997β1 | 0.10 | 0.26 | 0.37 | 0.48 | |
指数模型 Exponential model | 0.950β8 | 1.73 | 1.06 | 5.20 | 1.60 | |
二次函数模型 quadratic function model | 0.992β0 | 0.31 | 0.48 | 0.61 | 0.71 | |
改进模型 Modified model | 0.999β2 | 0.03 | 0.14 | 0.14 | 0.21 |
Fig. 2 Linear regression for measured values and predicted values, the dashed line is the 1:1 line. A, B, C, D, E and F represent rectangular hyperbolic, non-rectangular hyperbolic model, modified rectangular hyperbolic model, exponential model, quadratic function model and modified model, respectively. All of these slopes are not significantly different from 1, and all of these intercepts are not significantly different from 0.
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