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Application of the Orthogonal Polynomial Fitting Method in Estimating PM 2.5 Concentrations in Central and Southern Regions of China

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  • Bingtian Li

    (College of Ocean Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China
    Physical Oceanography Laboratory/CIMST, Ocean University of China and Qingdao National Laboratory for Marine Science and Technology, Qingdao 266200, China)

  • Yongzhi Liu

    (First Institute of Oceanography, Ministry of Natural Resources and Laboratory for Regional Oceanography and Numerical Modeling, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266061, China)

  • Xinyi Wang

    (First Institute of Oceanography, Ministry of Natural Resources and Laboratory for Regional Oceanography and Numerical Modeling, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266061, China)

  • Qingjun Fu

    (College of Ocean Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China)

  • Xianqing Lv

    (Physical Oceanography Laboratory/CIMST, Ocean University of China and Qingdao National Laboratory for Marine Science and Technology, Qingdao 266200, China)

Abstract

Sufficient and accurate air pollutant data are essential to analyze and control air contamination problems. An orthogonal polynomial fitting (OPF) method using Chebyshev basis functions is introduced to produce spatial distributions of fine particle (PM 2.5 ) concentrations in central and southern regions of China. Idealized twin experiments (IE1 and IE2) are designed to validate the feasibility of the OPF method. IE1 is designed in accordance with the most common distribution of PM 2.5 concentrations in China, whereas IE2 represents a common distribution in spring and autumn. In both idealized experiments, prescribed distributions are successfully estimated by the OPF method with smaller errors than kriging or Cressman interpolations. In practical experiments, cross-validation is employed to assess the interpolation results. Distributions of PM 2.5 concentrations are well improved when OPF is applied. This suggests that errors decrease when the fitting order increases and arrives at the minimum when both orders reach 6. Results calculated by the OPF method are more accurate than kriging and Cressman interpolations if appropriate fitting orders are selected in practical experiments.

Suggested Citation

  • Bingtian Li & Yongzhi Liu & Xinyi Wang & Qingjun Fu & Xianqing Lv, 2019. "Application of the Orthogonal Polynomial Fitting Method in Estimating PM 2.5 Concentrations in Central and Southern Regions of China," IJERPH, MDPI, vol. 16(8), pages 1-14, April.
    • Handle: RePEc:gam:jijerp:v:16:y:2019:i:8:p:1418-:d:224521
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    References listed on IDEAS

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    1. Theodore J. Mansfield & Daniel A. Rodriguez & Joseph Huegy & Jacqueline MacDonald Gibson, 2015. "The Effects of Urban Form on Ambient Air Pollution and Public Health Risk: A Case Study in Raleigh, North Carolina," Risk Analysis, John Wiley & Sons, vol. 35(5), pages 901-918, May.
    2. Minjie Xu & Kai Fu & Xianqing Lv, 2017. "Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-14, March.
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