Journal of Atmospheric and Environmental Optics, Volume. 20, Issue 4, 436(2025)

Deterministic and nonlinear tests of time series of atmospheric extinction coefficient in haze events

WANG Siyuan1,2、*, NI Changjian1,2, MENG Zisheng1,2, SHI Qiaoyu3, JIANG Mengjiao1,2, and ZHANG Ying1,2
Author Affiliations
  • 1College of Atmospheric Science, Chengdu University of Information Technology, Chengdu 610225, China
  • 2Chengdu Plain Urban Meteorology and Environment Observation and Research Station of Sichuan Province,Chengdu 610225, China
  • 3Institute of Plateau Meteorology, China Meteorological Administration, Chengdu 610072, China
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    Figures & Tables(10)
    Extinction coefficient time series. (a)–(f) Haze events A─F
    Autocorrelation coefficient plot of extinction coefficient time series. (a)–(f) Haze events A─F
    Relationship between pseudo nearest neighbor point ratio and embedding dimension of extinction coefficient. (a)–(f) Haze events A─F
    Recurrence plot of extinction coefficient time series. (a)–(f) Haze events A─F
    Calculation results of Cao method of extinction coefficient time series. (a)–(f) Haze events A─F
    Results of T statistical test of extinction coefficient time series. (a)–(f) Haze events A─F
    • Table 1. The statistical characteristics of haze with different intensities

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      Table 1. The statistical characteristics of haze with different intensities

      ParametersNon-HazeSlight hazeLight hazeModerate hazeSevere haze
      PM2.5 mass concentration/(μg·m-3)50.6 ± 20.696.7 ± 27.897.7 ± 36.4124.3 ± 38.6130.8 ± 32.6
      Atmospheric extinction coefficient/km-10.30 ± 0.060.61 ± 0.111.04 ± 0.131.62 ± 0.193.04 ± 1.34
      Average relative humidity/%44.3 ± 16.455.4 ± 14.675.3 ± 12.984.5 ± 10.792.8 ± 6.3
      Proportion/%15.626.322.335.8
    • Table 2. Optimal delay time τ and optimal embedding dimension m of extinction coefficient time series

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      Table 2. Optimal delay time τ and optimal embedding dimension m of extinction coefficient time series

      Haze eventsABCDEF
      Optimal delay time τ434333
      Optimal embedding dimension m443464
    • Table 3. Nonlinear characteristic quantities of extinction coefficient time series

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      Table 3. Nonlinear characteristic quantities of extinction coefficient time series

      Haze eventsCalculation methodABCDEF
      The saturation correlation dimensionG-P algorithm[30]3.95485.90193.64893.55785.84593.1740
      The Kolmogorov entropyCorrelation integral method[31]0.10060.03050.08870.06050.05630.0309
      The maximum Lyapunov exponentWolf method[32]0.19110.22870.29730.34680.15440.1675
    • Table 4. Results of the correlation dimension test of extinction coefficient time series

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      Table 4. Results of the correlation dimension test of extinction coefficient time series

      Haze eventsABCDEF
      Dorig3.95485.90193.64893.55785.84593.1740
      <Dsurr>4.31915.06044.60834.89125.23503.9968
      σsurr0.15150.17540.16990.19900.12270.1614
      Z2.40464.79765.64696.70054.97885.0979
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    Siyuan WANG, Changjian NI, Zisheng MENG, Qiaoyu SHI, Mengjiao JIANG, Ying ZHANG. Deterministic and nonlinear tests of time series of atmospheric extinction coefficient in haze events[J]. Journal of Atmospheric and Environmental Optics, 2025, 20(4): 436

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    Paper Information

    Category:

    Received: Apr. 5, 2023

    Accepted: --

    Published Online: Sep. 30, 2025

    The Author Email: Siyuan WANG (wsiyuan00@163.com)

    DOI:10.3969/j.issn.1673-6141.2025.04.002

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