基于区间分位数回归的中国空气质量指数影响因素分析
Analysis of Influencing Factors of Air Quality Index in China Based on Interval Quantile Regression
摘要: 为探究六种污染物浓度对中国空气质量指数的影响,本文采用区间分位数回归模型,对168个城市2026年6月1日至2026年6月30日的月区间数据进行实证分析,结果得到,从空气质量指数下限数据来看, P M 10 l 、 S O 2 l 、 O 3 l 为核心影响因素;从空气质量指数上限数据来看, P M 2.5 u 、 P M 10 u 、 O 3 u 为核心影响因素,且其作用强度随空气质量变化存在显著差异。预测结果表明,本文提出的基于最小最大法的区间分位数回归方法预测性能较优。
Abstract: To explore the impacts of the concentrations of six pollutants on Chinese Air Quality Index (AQI), this paper adopts an interval quantile regression model to conduct an empirical analysis on monthly interval data of 168 cities from June 1 to June 30, 2026. The results show that, in terms of the lower bound data of the Air Quality Index, P M 10 l , S O 2 l , O 3 l serve as the core influencing factors; while for the upper bound data of the Air Quality Index, P M 2.5 u , P M 10 u , O 3 u are the core influencing factors, and their effect intensities differ significantly with changes in air quality. The prediction results indicate that the proposed interval quantile regression method based on the Min-Max method achieves better prediction performance.
文章引用:魏晨飞, 徐登可. 基于区间分位数回归的中国空气质量指数影响因素分析[J]. 统计学与应用, 2026, 15(10): 1-8. https://doi.org/10.12677/sa.2026.1510222

参考文献

[1] 张园. 空气污染、居民收入与健康资本[J]. 统计与决策, 2022, 38(18): 82-86.
[2] 丁晨辉, 王威, 宋晓明. 空气污染对区域科技创新的双边影响效应分析[J]. 统计与决策, 2024, 40(6): 84-88.
[3] 王永红, 邢艳春, 郝小娇. 空气污染与经济增长的空间效应及其关系检验[J]. 统计与决策, 2022, 38(15): 77-81.
[4] 吴雪萍, 高明, 曾岚婷. 基于半参数空间模型的空气污染与经济增长关系再检验[J]. 统计研究, 2018, 35(8): 82-93.
[5] 郑元琳. 基于多因素分析与多尺度分解的空气质量指数预测[D]: [硕士学位论文]. 济南: 山东财经大学, 2026.
[6] 黄振庭, 黄仁博, 林霆柏, 等. 基于多元线性回归模型对惠州市空气质量指数实证分析[J]. 东莞理工学院学报, 2026, 33(1): 96-100.
[7] 雷雨薇, 陈江滢, 尤添革, 等. 基于XGBoost-SHAP方法的福建省空气质量指数影响因素分析[J/OL]. 福建农林大学学报(自然科学版): 1-13.
https://doi.org/10.13323/j.cnki.j.fafu(nat.sci.).202506003, 2026-09-30.
[8] He, D.Y., Ding, J., Liu, Y.Z., Dong, Y.L., Ding, H.Y., Yang, X.T. and Liu, X.N. (2026) A Multi-Pollutant Air Quality Health Index for Assessing Mortality Risk of Ischemic Heart Disease in Jinan, China. Scientific Reports, 16, Article No. 27015.
https://doi.org/10.1038/s41598-026-56942-3
[9] 倪洋, 张继勉, 曾强. 大气污染物复合暴露对呼吸系统疾病死亡效应的空气质量健康指数构建: 基于加权分位数和回归模型[J]. 环境与职业医学, 2026, 43(8): 944-950.
[10] 史学良, 李梁, 赵清华. 基于改进LSTM网络的空气质量指数预测[J]. 统计与决策, 2021, 37(16): 57-60.
[11] 杜艳芳. 基于分位数回归的空气质量指数分析[D]: [硕士学位论文]. 兰州: 兰州大学, 2016.
[12] 景伊, 韩鑫钰. 基于ARIMA模型的运城市空气质量指数分析与预测[J]. 计算机时代, 2026(5): 53-57.
[13] 方晓萍, 陈秀銮, 褚琦, 等. 基于PSOGSA LSTM模型的长江经济带空气质量指数预测研究[J]. 数理统计与管理, 2023, 42(1): 14-25.
[14] 史佳宜. 基于LSTM网络的南京市空气质量指数预测[J]. 现代信息科技, 2026, 10(12): 140-145.
[15] Tian, Z.D. and Yu, X.Y. (2026) Air Quality Index Prediction Based on Dimensionality Deduction and Optimized Echo State Network. Chemometrics and Intelligent Laboratory Systems, 276, Article ID: 105796.
https://doi.org/10.1016/j.chemolab.2026.105796
[16] 陈博, 王志文. 变分模态分解融合改进河马优化算法的空气质量指数预测[J/OL]. 控制工程: 1-12.
https://doi.org/10.14107/j.cnki.kzgc.20250628, 2026-09-21.
[17] Wei, J.F., Zhao, T.C., Wei, R., Fan, X., Ji, P. and Zhang, X. (2026) Application of Stacked Transformer-XGBoost Model and SHAP Interpretability in Air Quality Index Prediction in Linfen City. iScience, 29, Article ID: 116396.
https://doi.org/10.1016/j.isci.2026.116396
[18] Xiong, J.J., Liang, C.B., Wang, D.G. and Yang, M. (2026) A Novel Deep Learning Framework Integrating Temporal Convolution and Bidirectional LSTM for Multi-City AQI Forecasting. Information Sciences, 757, Article ID: 123941.
https://doi.org/10.1016/j.ins.2026.123941
[19] Billard, L. and Diday, E. (2000) Regression Analysis for Interval Valued Data. Springer, 369-374.
[20] Lima Neto, E.D.A. and de Carvalho, F.D.A.T. (2008) Centre and Range Method for Fitting a Linear Regression Model to Symbolic Interval Data. Computational Statistics & Data Analysis, 52, 1500-1515.
https://doi.org/10.1016/j.csda.2007.04.014
[21] Souza, L.C., Souza, R.M.C.R., Amaral, G.J.A. and Silva Filho, T.M. (2017) A Parametrized Approach for Linear Regression of Interval Data. Knowledge-Based Systems, 131, 149-159.
https://doi.org/10.1016/j.knosys.2017.06.012
[22] 呼延璇. 基于变分模态分解及和声搜索算法的空气质量指数区间预测[D]: [硕士学位论文]. 兰州: 兰州大学, 2022.
[23] Yang, H.F., GAO, Y.Y., Zhao, F.S. and Wang, J.Z. (2024) An Intelligent Interval Forecasting System Based on Fuzzy Time Series and Error Distribution Characteristics for Air Quality Index. Environmental Research, 251, Article ID: 118577.
https://doi.org/10.1016/j.envres.2024.118577
[24] Suo, C., Li, Y.P., Sun, J. and Yin, S. (2018) An Air Quality Index-Based Multistage Type-2-Fuzzy Interval-Stochastic Programming Model for Energy and Environmental Systems Management under Multiple Uncertainties. Environmental Research, 167, 98-114.
https://doi.org/10.1016/j.envres.2018.07.001
[25] 石逸. 区间型数据多维标度分析方法研究及应用[D]: [硕士学位论文]. 厦门: 厦门大学, 2021.