• Journal of Geo-information Science
  • Vol. 22, Issue 1, 122 (2020)
Zhenhong DU1、1、2、2、*, Sensen WU1、1、2、2, Zhongyi WANG1、1, Yuanyuan WANG1、1、2、2, Feng ZHANG1、1、2、2, and Renyi LIU1、1、2、2
Author Affiliations
  • 1School of Earth Sciences, Zhejiang University, Hangzhou 310027, China
  • 1浙江大学地球科学学院,地理与空间信息研究所,杭州 310027
  • 2Zhejiang Provincial Key Laboratory of Geographic Information Science, Hangzhou 310028, China
  • 2浙江省资源与环境信息系统重点实验室,杭州 310028
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    DOI: 10.12082/dqxxkx.2020.190533 Cite this Article
    Zhenhong DU, Sensen WU, Zhongyi WANG, Yuanyuan WANG, Feng ZHANG, Renyi LIU. Estimating Ground-Level PM2.5 Concentrations Across China Using Geographically Neural Network Weighted Regression[J]. Journal of Geo-information Science, 2020, 22(1): 122 Copy Citation Text show less
    Spatial distribution of the PM2.5 monitoring stations of China in 2017 and the spatial partitions of the training, validation, and testing datasets
    Fig. 1. Spatial distribution of the PM2.5 monitoring stations of China in 2017 and the spatial partitions of the training, validation, and testing datasets
    Pre-processing of the experimental dataset
    Fig. 2. Pre-processing of the experimental dataset
    Definition of the GNNWR model for PM2.5 estimation
    Fig. 3. Definition of the GNNWR model for PM2.5 estimation
    Structure design of the spatial weighted neural network
    Fig. 4. Structure design of the spatial weighted neural network
    Training and validation procedures of the GNNWR model
    Fig. 5. Training and validation procedures of the GNNWR model
    Performance variations for the training and validation datasets of the GNNWR model
    Fig. 6. Performance variations for the training and validation datasets of the GNNWR model
    Estimates of the annual mean PM2.5 across China in 2017
    Fig. 7. Estimates of the annual mean PM2.5 across China in 2017
    Details comparison of the annual mean PM2.5 estimates between the GWR and GNNWR models
    Fig. 8. Details comparison of the annual mean PM2.5 estimates between the GWR and GNNWR models
    Spatial distribution of absolute estimation errors of the annual mean PM2.5 of China in 2017 for the OLR, GWR, and GNNWR models
    Fig. 9. Spatial distribution of absolute estimation errors of the annual mean PM2.5 of China in 2017 for the OLR, GWR, and GNNWR models
    数据类型数据名称变量名称时间分辨率空间分辨率数据来源
    站点PM2.5监测站点PM2.5h-中国国家气象局
    遥感气溶胶AODd3 km、10 kmLAADS
    气象2 m温度TEMPh0.5°ERA5 hourly data
    降水量TPh0.5°ERA5 hourly data
    10 m风速WSh0.5°ERA5 hourly data
    10 m风向WDh0.5°ERA5 hourly data
    地理地形DEM-1弧分NOAA
    Table 1. Data sources and description
    模型名称带宽优化准则核函数
    类型结构
    GWR-AFGAICc固定型Gaussian
    GWR-AABAICc适应型Bi-square
    Table 2. Settings of GWR models
    输入层隐含层1隐含层2隐含层3输出层
    10045122561287
    学习率epoch最大值批处理大小Dropout
    0.220 000640.8
    Table 3. Settings of architectures and hyper-parameters for the GNNWR model
    变量PM2.5/(μg/m3)AODDEM/m温度/K降水量/m风速/(m/s)风向/°
    相关系数-0.564-0.3450.135-0.234-0.373-0.461
    显著性水平-0.0010.0010.0010.0010.0010.001
    方差膨胀因子-3.0051.6364.6392.1072.3574.184
    平均值46.070.540393.460288.0008.95E-057.080147.990
    标准差15.560.180658.4605.1704.82E-050.94043.150
    最小值8.340.070-5.250271.8101.06E-064.43080.110
    最大值103.891.1404539.960297.7202.34E-0411.500236.040
    Table 4. Exploratory analysis and descriptive statistics of the experimental dataset across China in 2017
    模型训练集(拟合精度)测试集(预测精度)
    R2RMSEMAEMAPE/%AICcF1p-valueR2RMSEMAEMAPE/%
    OLR0.51710.5788.13220.27579.202--0.47712.0238.83819.7
    GWR-AFG0.7597.4785.79714.56999.4910.5380.0100.6839.3596.96316.1
    GWR-AAB0.8984.8603.4788.76673.5370.2970.0100.6759.4845.42312.6
    GNNWR0.9144.4523.2357.95833.0020.1370.0100.8316.8374.68811.0
    Table 5. Fitting and prediction performances of the PM2.5 estimates for the OLR, GWR, and GNNWR models
    变量GWR-AFGGWR-AABGNNWR
    F2p-valueF2p-valueF2p-value
    常量项2407.90.0011269.10.001590.50.001
    AOD1379.70.0011199.40.001243.70.001
    DEM1983.90.0011272.20.001146.70.001
    温度3783.70.0011229.60.001127.70.001
    降水量1237.40.0011170.10.001214.70.001
    风速1626.00.0011016.20.001159.00.001
    风向2379.80.0011081.60.00173.60.001
    Table 6. Spatial nonstationarity diagnosis of each variable in the GNNWR model
    Zhenhong DU, Sensen WU, Zhongyi WANG, Yuanyuan WANG, Feng ZHANG, Renyi LIU. Estimating Ground-Level PM2.5 Concentrations Across China Using Geographically Neural Network Weighted Regression[J]. Journal of Geo-information Science, 2020, 22(1): 122
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