基于擴(kuò)展場(chǎng)強(qiáng)模型的稀疏AQI空間插值新算法
發(fā)布時(shí)間:2018-02-04 08:16
本文關(guān)鍵詞: 空氣質(zhì)量指數(shù) 空間插值 稀疏數(shù)據(jù) 場(chǎng)強(qiáng)模型 出處:《武漢大學(xué)學(xué)報(bào)(信息科學(xué)版)》2017年07期 論文類型:期刊論文
【摘要】:針對(duì)空氣質(zhì)量指數(shù)(AQI)監(jiān)測(cè)點(diǎn)分布稀疏,現(xiàn)有空間插值算法精度不高問題,提出了新的擴(kuò)展場(chǎng)強(qiáng)模型與算法。擴(kuò)展場(chǎng)強(qiáng)單參數(shù)模型引入?yún)?shù)c控制場(chǎng)強(qiáng)衰減程度,通過c與誤差關(guān)系圖并借助二分查找法計(jì)算最優(yōu)c值。擴(kuò)展場(chǎng)強(qiáng)雙參數(shù)模型加入?yún)?shù)k調(diào)整場(chǎng)強(qiáng)影響范圍,通過c、k與誤差關(guān)系圖并借助迭代雙線性插值法求解最優(yōu)c、k組合。以北京、天津、武漢、鄭州四個(gè)城市2014-08~2015-04的50組AQI監(jiān)測(cè)值為實(shí)驗(yàn)數(shù)據(jù),采用交叉驗(yàn)證法并以RMSE、AME、PAEE為評(píng)價(jià)指標(biāo),實(shí)現(xiàn)了單參與雙參模型及參數(shù)選取,然后與克里金法及類似的反距離加權(quán)法進(jìn)行對(duì)比。實(shí)驗(yàn)證明,擴(kuò)展場(chǎng)強(qiáng)模型能夠得到針對(duì)稀疏AQI的更高插值精度,且雙參數(shù)模型精度高于單參數(shù)模型。本文算法適用于采樣點(diǎn)數(shù)目與位置均固定的稀疏數(shù)據(jù)插值,并可推廣至其他類型與維度的空間數(shù)據(jù)。
[Abstract]:Because of the sparse distribution of air quality index (AQI) monitoring points, the accuracy of existing spatial interpolation algorithms is not high. A new extended field intensity model and algorithm is proposed. The single parameter model of extended field strength introduces parameter c to control the attenuation of field strength. The optimal value of c is calculated by using the graph of c and error and the optimum value of c is calculated by means of binary search method. The parameter k is added to the model of extended field strength to adjust the range of influence of field strength, and the influence range of field strength is adjusted by c. K and the error relation diagram and the iterative bilinear interpolation method are used to solve the optimal combination of cnk. Beijing, Tianjin, Wuhan. The 50 groups of AQI monitoring data from 2014-08 to 2015-04 in four cities of Zhengzhou were used as experimental data. Cross validation method and RMSE AME-PAEE were used as the evaluation index. The single-participating double-parameter model and parameter selection are realized, and then compared with the Kriging method and the similar inverse distance weighting method. The experimental results show that the extended field strength model can obtain higher interpolation accuracy for sparse AQI. The accuracy of the two-parameter model is higher than that of the single-parameter model. This algorithm is suitable for the sparse data interpolation where the number and position of the sampling points are fixed and can be extended to other spatial data types and dimensions.
【作者單位】: 武漢大學(xué)計(jì)算機(jī)學(xué)院;中國(guó)空間技術(shù)研究院;武漢大學(xué)資源與環(huán)境科學(xué)學(xué)院;
【基金】:中國(guó)空間技術(shù)研究院創(chuàng)新基金(2014) 裝備預(yù)研基金(9140A27040414JB11078) 湖北省科技支撐計(jì)劃(2014BAA149)~~
【分類號(hào)】:X51;X831
【正文快照】: 近年來空氣污染增多且危害加重,因此空氣污染監(jiān)測(cè)與預(yù)報(bào)已成為關(guān)系國(guó)計(jì)民生的大事。我國(guó)已用空氣質(zhì)量指數(shù)(AQI)替代原有的空氣污染指數(shù)(API),且針對(duì)單項(xiàng)污染物還規(guī)定了分指數(shù),參與AQI評(píng)價(jià)的主要污染物為PM2.5、PM10、SO2、NO2、O3、CO。目前,AQI值只能通過分布稀疏的氣象站點(diǎn)
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