基于分数阶微分的春小麦叶绿素含量高光谱估算
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摘要
为提高农作物叶片叶绿素含量高光谱估算的准确度,以阜康农作物试验地为研究靶区,测定了165个采样点的春小麦叶片叶绿素含量和叶片光谱反射率,运用分数阶微分算法进行光谱预处理,最后运用偏最小二乘法(PLSR)建立叶绿素含量估算模型。结果表明,对数学变换■、lg~R、1/lg~R、1/R)的光谱及原始光谱(R)的数据进行0～2阶分数阶微分预处理时,通过0.01水平显著性检验的波段数量明显增加,且光谱数据经4种数学变换后均在1.2阶微分与小麦叶绿素含量有较高的相关性。1.2阶微分处理后,对叶绿素含量的敏感波段数量表现为■。利用对数变换和1.2阶微分计算的植被指数(NDVI、DVI、RVI、MSR_(705)、MSR_(670,800)、CI)建立的PLSR模型的估算精度最优,其预测的相对误差、决定系数和平方根差分别为2.17、0.87和0.243mg·g~(-1),可作为小麦叶片叶绿素含量的最佳估算模型,也说明对光谱数据进行数学转换和分数阶微分处理可显著提高春小麦叶绿素含量的估算精度。
To improve the estimation accuracy of prediction model of chlorophyll contents,fractional differential method was applied to deal with process the hyperspectral data of wheat leaf.The Fukang crop experimental base was selected as the study area,and chlorophyll contents and hyperspectral data of spring wheat leaf were collected from 165 sampling points.The results showed that correlation between fractional differential of transformed reflectance■ and chlorophyll contents were higher than that between raw spectra and chlorophyll contents. Four kinds of mathematical transformations of spectral data showed a high correlation between 1.2-order differential and chlorophyll content in wheat. The number of sensitive bands to chlorophyll was T_R>lg~R>1/R>1/lg~R>R.The number of sensitive bands significantly increased at 1.2-order fractional differential of transform.And 1.2-order fractional differential of transform ■ sensitive bands.The number of sensitive bands was decreasing the following sequence of ■.Prediction model accuracy indicated that the prediction model 2-lg~R PLSR,that was built by variables of vegetable indices(NDVI,DVI,RVI,MSR_(705),MSR_(670,800) and CI calculated by 1.2-order fractional differential of lg~R,has a high predicting prediction accuracy with r~2=0.87 and relative percent deviation RPD=2.17.It could be concluded that fractional differential processing had potential in hyper-spectral estimation of chlorophyll content and large scale spatial distribution inversion. The results provide a new idea for nondestructive and accurate evaluation of chlorophyll content in winter wheat.
To improve the estimation accuracy of prediction model of chlorophyll contents,fractional differential method was applied to deal with process the hyperspectral data of wheat leaf.The Fukang crop experimental base was selected as the study area,and chlorophyll contents and hyperspectral data of spring wheat leaf were collected from 165 sampling points.The results showed that correlation between fractional differential of transformed reflectance■ and chlorophyll contents were higher than that between raw spectra and chlorophyll contents. Four kinds of mathematical transformations of spectral data showed a high correlation between 1.2-order differential and chlorophyll content in wheat. The number of sensitive bands to chlorophyll was T_R>lg~R>1/R>1/lg~R>R.The number of sensitive bands significantly increased at 1.2-order fractional differential of transform.And 1.2-order fractional differential of transform ■ sensitive bands.The number of sensitive bands was decreasing the following sequence of ■.Prediction model accuracy indicated that the prediction model 2-lg~R PLSR,that was built by variables of vegetable indices(NDVI,DVI,RVI,MSR_(705),MSR_(670,800) and CI calculated by 1.2-order fractional differential of lg~R,has a high predicting prediction accuracy with r~2=0.87 and relative percent deviation RPD=2.17.It could be concluded that fractional differential processing had potential in hyper-spectral estimation of chlorophyll content and large scale spatial distribution inversion. The results provide a new idea for nondestructive and accurate evaluation of chlorophyll content in winter wheat.
引文
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[23]陈明华,柴鹏,陈文祥,等.不同植被指数估算植被覆盖度的比较研究 [J].亚热带水土保持,2016,28(1):1.CHEN M H,CHAI P,CHEN W X,et al.Comparative study on the estimation of the vegetation coverage by different vegetation indices [J].Subtropical Soil and Conservation,2016,28(1):1.
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[27]李岚涛,汪善勤,任涛,等.基于高光谱的冬油菜叶片磷含量诊断模型 [J].农业工程学报,2016,32(14):209.LI L T,WANG S Q,REN T,et al.Evaluating models of leaf phosphorus content of winter oil seed rape based on hyperspectral data [J].Transactions of the Chinese Society of Agricultural Engineering,2016,32(14):209.
[28]丁永军,李民赞,郑立华,等.基于近红外光谱小波变换的温室番茄叶绿素含量预测 [J].光谱学与光谱分析,2011,31(11):2936.DING Y J,LI M Z,ZHENG L H,et al.Prediction of chlorophyll content of greenhouse tomato using wavelet transform combined with Nir spectra[J].Spectroscopy and Spectral Analysis,2011,31(11):2936.
[29]颜丙囤,隋学艳,王猛,等.拔节期淹水玉米冠层光谱变化特征分析 [J].山东农业科学,2016,48(5):28.YAN B D,SUI X Y,WANG M et al.Character analysis of canopy spectral changes of cornet jointing stage under waterlogging stress [J].Shandong Agricultural Sciences,2016,48(5):28.
[30]王烁,常庆瑞,刘梦云,等.基于高光谱遥感的棉花叶片叶绿素含量估算 [J].中国农业大学学报,2017,22(4):16.WANG S,CHANG Q R,LIU M Y et al.Estimation on chlorophyll content of cotton based on optimized spectral index [J].Journal of China Agricultural University,2017,22(4):16.
[31]罗丹,常庆瑞,齐雁冰,等.基于光谱指数的冬小麦冠层叶绿素含量估算模型研究 [J].麦类作物学报,2016,36(9):1225.LUO D,CHANG Q R ,QI Y B,et al.Estimation model for chlorophyll content in winter wheat canopy based on spectral indices [J].Journal of Triticeae Crops,2016,36(9):1225.
[2]李粉玲,王力,刘京,等.基于高分一号卫星数据的冬小麦叶片SPAD值遥感估算 [J].农业机械学报,2015,46(9):273.LI F L,WANG L,LIU J,et al.Remote sensing estimation of SPAD value for wheat leaf based on GF-1 data [J].Transactions of the Chinese Society for Agricultural Machinery,2015,46(9):273.
[3]宫兆宁,赵雅莉,赵文吉,等.基于光谱指数的植物叶片叶绿素含量的估算模型 [J].生态学报,2014,34(20):5736.GONG Z N,ZHAO Y L,ZHAO W J,et al.Estimation model for plant leaf chlorophyll content based on the spectral index content [J].Acta Ecologica Sinica,2014,34(20):5736.
[4]刘芬,屈成,肖楠,等.水稻高光谱变化特征与叶绿素含量监测研究 [J].激光生物学报,2017,26(4):326.LIU F,QU C,XIAO N,et al.A study on spectral characteristics and chlorophyll content in rice [J].Acta Laser Biology Sinica,2017,26(4):326.
[5]张霞,刘良云,赵春江,等.利用高光谱遥感图像估算小麦氮含量 [J].遥感学报,2003,7(3):176.ZHANG X,LIU L Y,ZHAO C J,et al.Estimating wheat nitrogen concentration with high spectral resolution image [J].Journal of Remote Sensing,2003,7(3):176.
[6]GITELSON A,MERZLYAK M N.Quantitative estimation of chlorophyll-a using reflectance spectra:Experiments with autumn chestnut and maple leaves [J].Journal of Photochemistry & Photobiology(Biology),2015,22(3):247.
[7]宋开山,张柏,李方,等.玉米叶绿素含量的高光谱估算模型研究 [J].作物学报,2005,31(8):1095.SONG K S,ZHANG B,LI F,et al.A hyperspectral model for estimating chlorophyll content in maize leaves [J].Acta Agronomomica Sinica,2005,31(8):1095.
[8]孙雪梅,周启发,何秋霞.利用高光谱参数预测水稻叶片叶绿素和籽粒蛋白质含量 [J].作物学报,2005,31(7):844.SUN X M,ZHOU Q F,HE Q X.,Hyperspectral variables in predicting leaf chlorophyll content and grain protein content in rice [J].Acta Agronomomica Sinica,2005,31(7):844.
[9]CROFT H,CHEN J M,ZHANG Y,et al.Modelling leaf chlorophyll content in broad leaf and needle leaf canopies from ground,CASI,Landsat TM5 and MERIS reflectance data [J].Remote Sensing of Environment,2013,133(12):128.
[10]PENG Y,GITELSON A A.Application of chlorophyll-related vegetation indices for remote estimation of maize productivity [J].Agricultural & Forest Meteorology,2011,151(9):1267.
[11]袁杰,王登伟,黄春燕,等.基于高光谱数据的棉花叶绿素密度定量提取研究 [J].干旱地区农业研究,2007,25(3):89.YUAN J,WANG D W,HUANG C Y,et al.Estimating chlorophyll density of cotton canopy in north of Xinjiang by using hyperspectral data [J].Agricultural Research in the Arid Areas,2007,25(3):89.
[12]王烁,常庆瑞,刘梦云,等.基于高光谱遥感的棉花叶片叶绿素含量估算 [J].中国农业大学学报,2017,22(4):16.WANG S,CHANG Q R,LIU M Y,et al.Estimation on chlorophyll content of cotton cased on optimized spectral index [J].Journal of China Agricultural University,2017,22(4):16.
[13]张秋英,李发东,刘孟雨.冬小麦叶片叶绿素含量及光合速率变化规律的研究 [J].中国生态农业学报,2005,13(3):95.ZHANG Q Y,LI F D,LIU M Y,et al.Changing laws of chlorophyll content and photosynthetic rate in winter wheat leaves [J].Chinese Journal of Eco-Agriculture,2005,13(3):95.
[14]宋挺,周文鳞,刘军志,等.利用高光谱反演模型评估太湖水体叶绿素a浓度分布 [J].环境科学学报,2017,37(3):888.SONG T,ZHOU W L,LIU J Z,et al.Evaluation on distribution of chlorophyll a content in surface water of Taihu Lake by hyperspectral inversion models [J].Acta Science Circumstantiate,2017,37(3):888.
[15]徐继刚,冯新泸,管亮,等.分数阶微分在红外光谱数据预处理中的应用 [J].化工自动化及仪表,2012,39(3):347.JI G X,FENG X L,GUAN L,et al.Fractional differential application in reprocessing infrared spectral data [J].Control & Instruments in Chemical Industry,2012,39(3):347.
[16]TARASOV V E.On chain rule for fractional derivatives [J].Communications in Nonlinear Science and Numerical Simulation,2016,30(1):1.
[17]徐广才,康慕谊,赵从举,等.阜康市生态敏感性评价研究 [J].北京师范大学学报,2007,43(1):88.XU G C,KANG M Y,ZHAO C J,et al.Appraisal of eco sensitivity on Fukang city [J].Journal of Beijing Normal University,2007,43(1):88.
[18]尼加提·卡斯木,师庆东,王敬哲,等.基于高光谱特征和偏最小二乘法的春小麦叶绿素含量估算 [J].农业工程学报,2017,33(22):208.NIJAT K,SHI Q D,WANG J Z,et al.Estimation of spring wheat chlorophyll content based on hyperspectral features and PLS model [J].Transactions of the Chinese Society of Agricultural Engineering,2017,33(22):208.
[19]张永贺,陈文惠,郭乔影,等.桉树叶片光合色素含量高光谱估算模型 [J].生态学报,2013,33(3):876.ZHANG Y H,CHEN W H,GUO Q Y,et al.Hyperspectral estimation models for photosynthetic pigment contents in leaves of Eucalyptus [J].Acta Ecologica Sinica,2013,33(3):876.
[20]章文龙,曾从盛,高灯州,等.闽江河口湿地秋茄叶绿素含量高光谱遥感估算 [J].生态学报,2014,34(21):6190.ZHANG W L,ZENG C S,GAO D Z,et al.Estimating the chlorophyll content of Kandelia candel based on hyper-spectral remote sensing in the Min River Estuarine wetland [J].Acta Ecologica Sinica,2014,34(21):6190.
[21]林世敏,许传炬.分数阶微分方程的理论和数值方法研究 [J].计算数学,2016,38(1):1.LIN S M,XU C J.Theoretical and numerical investigation of fractional differential equations [J].Mathematica Numerica Sinica,2016,38(1):1.
[22]张东,张飞,阿尔达克·克里木,等.分数阶微分算法对盐渍土高光谱数据的影响研究 [J].光学学报,2016,36(3):274.ZHANG D,ZHANG F,AERDAKE K,et al.Effect of fractional differential algorithm on hyperspectral data of saline soil [J].Acata Optica Sinica,2016,36(3):274.
[23]陈明华,柴鹏,陈文祥,等.不同植被指数估算植被覆盖度的比较研究 [J].亚热带水土保持,2016,28(1):1.CHEN M H,CHAI P,CHEN W X,et al.Comparative study on the estimation of the vegetation coverage by different vegetation indices [J].Subtropical Soil and Conservation,2016,28(1):1.
[24]曾毓燕,施润和,刘浦东,等.利用植被指数估算叶绿素含量的模型模拟研究——以PROSPECT+DART模型为例 [J].遥感技术与应用,2017,32(4):667.ZENG Y Y,SHI R H,LIU P D,et al.Estimations of chlorophyll content from vegetation indices by using PROSPECT and DART [J].Sensing Technology and Application,2017,32(4):667.
[25]WOLD S,SJOSTROM M,ERIKSSON L.PLS-regression:a basic tool of chemometrics [J].Chemometrics and Intelligent Laboratory Systems,2001,58(2):109.
[26]杨国栋.基于变量筛选的偏最小二乘回归方法及其应用[D].长沙:中南大学,2013:2.YANG G D.A stepwise partial least squares regression method and its application [D].Changsha:Central South University,2013:2.
[27]李岚涛,汪善勤,任涛,等.基于高光谱的冬油菜叶片磷含量诊断模型 [J].农业工程学报,2016,32(14):209.LI L T,WANG S Q,REN T,et al.Evaluating models of leaf phosphorus content of winter oil seed rape based on hyperspectral data [J].Transactions of the Chinese Society of Agricultural Engineering,2016,32(14):209.
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