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基于懲罰最小二乘算法的土壤重金屬檢測光譜基線校正
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2019年江西省“雙千計劃”引進項目(2120800003)和國家自然科學基金項目(21876014)


Spectrum Baseline Correction for Soil Heavy Metal Detection Based on Penalized Least Squares Algorithm
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    摘要:

    針對X射線熒光光譜分析技術(shù)在檢測土壤重金屬過程中由于土壤背景復雜、包含大量噪聲和干擾信息而易受基體效應(yīng)影響的問題,為了提高定量分析模型的精度,利用懲罰最小二乘算法擬合基線與真實基線之間的保真度和平滑度,對X射線熒光光譜進行基線校正,從而減小基線漂移的影響。選用無基線扣除、非對稱最小二乘(ASLS)、自適應(yīng)迭代重加權(quán)懲罰最小二乘(AIRPLS)、非對稱重加權(quán)懲罰最小二乘(ARPLS)、局部對稱重加權(quán)懲罰最小二乘(LSRPLS)和多約束重加權(quán)懲罰最小二乘(DRPLS) 等6種處理方法對土壤重金屬元素鉛和砷的測量光譜進行基線校正;結(jié)合偏最小二乘(PLS)算法建立相應(yīng)的校正模型,以選擇最優(yōu)基線校正算法;與神經(jīng)網(wǎng)絡(luò)(BP)和支持向量機(SVR)建立的校正模型進行比較,對模型進行評價。結(jié)果顯示,鉛元素的最佳模型為DRPLS-PLS,模型的R2達到0.982,預測均方根誤差(RMSEP)為0.056 mg/kg;砷元素的最佳模型為DRPLS-PLS模型,模型的R2達到0.985,RMSEP為0.796mg/kg。與PLS和BP模型相比,鉛、砷兩種元素的SVR模型建模均最優(yōu),模型的R2分別達到0.998和0.993,RMSEP分別為0.015、0.596mg/kg。實驗表明,通過基線校正后模型的預測精度、檢出限和穩(wěn)定性均有所提高,該方法可有效提高X射線熒光光譜在土壤中的定量分析能力。

    Abstract:

    X-ray fluorescence spectrometry has the advantages of nondestructive and rapid detection of heavy metals in soil. However, in the process of practical application, because the soil background is complex and contains a lot of noise and interference information, it is easy to be affected by the matrix effect. In order to improve the accuracy of the quantitative analysis model, it is necessary to carry out baseline correction of X-ray fluorescence spectrum and reduce the effect of baseline drift. Penalty least squares algorithm, as a common baseline algorithm, was used to further optimize the fitting baseline based on least squares by fitting the fidelity and smoothness between the baseline and the real baseline. No baseline deduction, asymmetric least squares (ASLS), adaptive iterative reweighted penalty least squares (AIRPLS), asymmetric reweighted penalty least squares (ARPLS), local symmetric reweighted penalty least squares (LSRPLS) and multi-constrained reweighted penalty least squares (DRPLS) were selected for baseline correction of the measured spectrum of heavy metal elements lead and arsenic in soil, and then the corresponding correction models were established with partial least squares (PLS) algorithm to select the optimal baseline correction algorithm. At last, the partial least square (PLS) model was compared with the correction model established by neural network (BP) and support vector machine (SVR) to evaluate the advantages and disadvantages of different models. The results showed that the optimal baseline correction algorithm of the two elements was DRPLS, which the R2 of the lead corresponding PLS model was 0.982, the prediction root mean square error (RMSEP) was 0.056 mg/kg, and the R2 of the arsenic corresponding PLS model was 0.985, the RMSEP was 0.796 mg/kg. Besides, the SVR models of lead and arsenic were optimal compared with PLS and BP models. And the R2 of the model reached 0.998 and 0.993, respectively. The RMSEP was 0.015 mg/kg and 0.596 mg/kg, respectively. Experiments showed that the prediction accuracy, detection limit and stability of the model established after baseline correction can effectively improve the quantitative analysis ability of X-ray fluorescence spectroscopy in soil.

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江曉宇,李福生,王清亞,郝軍,徐木強,羅杰.基于懲罰最小二乘算法的土壤重金屬檢測光譜基線校正[J].農(nóng)業(yè)機械學報,2021,52(8):205-212. JIANG Xiaoyu, LI Fusheng, WANG Qingya, HAO Jun, XU Muqiang, LUO Jie. Spectrum Baseline Correction for Soil Heavy Metal Detection Based on Penalized Least Squares Algorithm[J]. Transactions of the Chinese Society for Agricultural Machinery,2021,52(8):205-212.

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  • 收稿日期:2021-03-25
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  • 在線發(fā)布日期: 2021-08-10
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