The Robustness of Linear Regression Model in Rice Leaf Chlorophyll Concentration Prediction
- Issue 5, Pages: 364-371(2003)
Published: 2003
DOI: 10.11834/jrs.20030505
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Published: 2003 ,
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[1]李云梅,倪绍祥,王秀珍.线性回归模型估算水稻叶片叶绿素含量的适宜性分析[J].遥感学报,2003(05):364-371.
LI Yun-mei1, NI Shao-xiang1, WANG Xiu-zhen2. The Robustness of Linear Regression Model in Rice Leaf Chlorophyll Concentration Prediction. [J]. Journal of Remote Sensing (5):364-371(2003)
利用PROSPECT模型模拟水稻叶片叶绿素含量从 2 0 0 μg/cm2 变化到 4 0 0 μg/cm2 时的叶片光谱特性
利用FCR模型模拟叶面积指数 (LAI)为 1
2
…
7时
不同地面状态下
4个不同观测方向的水稻冠层反射率。利用LAI为 1
3
5
7时的模拟值
采用多元逐步回归分析法
从不同观测方向建立叶片叶绿素含量与冠层反射率 (Rλ)及其变化式ln(1/Rλ)
R′λ 的多元线性回归模型
并用复相关系数和均方根差评价拟合精度
认为ln(1/Rλ)以及从天顶方向的拟合效果最好。利用从天顶方向建立的回归模型
预测叶片叶绿素含量
认为将该回归模型应用于其它方向是不合适的
从天顶方向预测时
预测精度受地面状态的影响
但总的说来
预测精度呈现随LAI的增大而提高的趋势。
We present a modeling approach to assess the robustness of remotely derived spectrometric equations predictive of rice leaf chlorophyll concentration to the view direction. Our methodology uses two radiative transfer models that operate at leaf(PROSPECT)and canopy(FCR)levels. It includes three stages:(1)Simulation canopy bi-directional reflectance on varies leaf chlorophyll concentration
varies leaf area index(LAI)and varies understory;(2)establishment of predictive relationships of chlorophyll concentration with stepwise regression;(3)assessment of the robustness of these relationships. First
we simulate rice leaf spectrum by PROSPECT model. The parameters used in the model are: protein concentration(0.0008g/cm2)
cellulose concentration(0.0049g/cm2)
water equivalent thick(0.02cm)and leaf structure parameter(1.7)
while chlorophyll concentration varises from 20μg/cm2 to 40μg/cm2
the change step is 0.1μg/cm2; simulate rice canopy bi-directional reflectance by FCR model. The parameters used in the model are: leaf relative linear size(0.40)
model inclination(81)
model eccentricity(0.9985)
sun zenith angle(32°)
sun azimuth angle(0°)
and sun direct radiation/total radiation(80%)
the changed parameters are LAI
view direction and understory spectrum character. LAI varies from 1 to 7. The change step is 1. There are four view directions: nadir view direction(both view zenith angle and azimuth angle equal to 0°)
hot spot view direction(view zenith angle equals to 32°
azimuth angle equals to 0°)
oblique view direction(view zenith angle equals to 32°
azimuth angle equals to 90°)and specular view direction(view zenith angle equals to 32° azimuth angle equals to 180°). The reflectance of three types of understory are measured in 1999. Second
the established multiple linear regression model by stepwise regression analysis uses simulation values(LAI are 1
3
5 and 7
chlorophyll concentration varies from 20μg/cm2 to 40μg/cm2
three types of understory)on different directions to predict chlorophyll concentrations. The considered factors are canopy reflectance R λ
derived ln(1/R λ)and R′ λ. The regression equations are established by SPSS software. The selected wavelengths are upon F probability and root mean square error(RMSE). Only when rejection probability is less than 0.05
the wavelength can be selected. To make the equation simple
we just chose three wavelengths which partial correlation index is the biggest for each regression equation. Then
the robustness is valued by compound coefficient of correlation(r2)and RMSE. For the equations establishment by the three factors(R λ
ln(1/R λ)
and R′ λ)
r2 on nadir view direction are 0.905
0.916 and 0.883
on hot spot view direction are 0.774
0.962 and 0.747
on oblique view direction are 0.563
0.941 and 0.572
on specular view direction are 0.881
0.937 and 0.883
RMSE on nadir direction are 1.97
1.68 and 1.99
on hot spot view direction are 2.75
1.13 and 2.92
on oblique view direction are 3.83
1.41 and 3.80
on specular view direction are 2.00
1.45 and 1.98. Those stress that the robustness are strongest on ln(1/R λ)and nadir direction. The equations on nadir direction are: chl=19.882+5747.957R 410-3770.780R 415-414.002R 705(1) chl=74.631-224.236ln(1/R 410)+190.960ln(1/R 415)+39.24ln(1/R 715)(2) chl=59.526-149370.7R′ 420+131394.74R′ 555+28899.908R′ 585(3) in the equations
chl indices chlorophyll concentration. We predict chlorophyll concentrations by nadir direction equations use simulated reflectance on other directions and see bigger RMSE occurred(for example
the biggest RSME is 26.74 on specular view direction). It stresses that the equations built on nadir view direction are unsuitable for other directions’ prediction. When we predict chlorophyll concentrations by nadir direction equations use simulated reflectance on nadir direction(LAI equal to 2
4 and 6
chlorophyll concentration varies from 20μg/cm2 to 40μg/cm2
three types of understory)
we find that the predictive accuracy is
线性回归叶绿素含量适宜性分析
linear regressionchlorophyll concentrationrobustness analysis
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