Diagnosing Seasonal Structures and Short-Term Forecasting of Tropospheric Ozone in a Tropical City Using Singular Spectrum Analysis and Linear Recurrent Formula

Authors

  • Amaury de Souza

    Institute of Physics, Federal University of Mato Grosso do Sul, C.P. 549, Campo Grande 79070-900, Brazil

DOI:

https://doi.org/10.30564/jasr.v9i2.13156
Received: 12 February 2026 | Revised: 3 April 2026 | Accepted: 24 April 2026 | Published Online: 28 April 2026

Abstract

Tropospheric ozone (O₃) is a secondary pollutant whose variability in tropical urban environments is strongly controlled by seasonal meteorology, photochemistry, and episodic emissions such as biomass burning. This study applies Singular Spectrum Analysis (SSA) combined with the Linear Recurrent Formula (LRF) to analyze and forecast daily tropospheric ozone in Campo Grande, Brazil, using SISAM/INPE satellite data from 2000 to 2018. In contrast to previous SSA-based applications, this work introduces a systematic evaluation of embedding window length (L = 30, 60, and 90) to assess the robustness of the decomposition and component separability. In addition, the spectral consistency of reconstructed components is examined to support the identification of dominant temporal modes. For forecasting, a strict out-of-sample framework is adopted, using 2000–2017 for training and 2018 for independent validation, ensuring no information leakage. The LRF model achieved RMSE = 0.79 ppb, MAE = 0.64 ppb, and MAPE = 3.8%, outperforming persistence and seasonal naïve benchmarks. Results indicate that ozone variability is predominantly seasonal, with weak long-term trends and relevant intra-seasonal fluctuations. The proposed framework provides a transparent, computationally efficient, and reproducible approach for diagnosing and forecasting ozone variability in tropical environments.

Keywords:

Tropospheric Ozone; Singular Spectrum Analysis; Linear Recurrent Formula; Time Series Decomposition; Short-Term Forecasting

References

[1] Monks, P.S., Archibald, A.T., Colette, A., et al., 2015. Tropospheric ozone and its precursors from the urban to the global scale from air quality to short-lived climate forcer. Atmospheric Chemistry and Physics. 15(15), 8889–8973. DOI: https://doi.org/10.5194/acp-15-8889-2015

[2] Seinfeld, J.H., Pandis, S.N., 2016. Atmospheric Chemistry and Physics: From Air Pollution to Climate Change, 3rd ed. Wiley: Hoboken, NJ, USA.

[3] World Health Organization, 2021. WHO Global Air Quality Guidelines: Particulate Matter (PM2.5 and PM10)‎, Ozone, Nitrogen Dioxide, Sulfur Dioxide and Carbon Monoxide. WHO: Geneva, Switzerland.

[4] Cooper, O.R., Parrish, D.D., Ziemke, J., et al., 2014. Global distribution and trends of tropospheric ozone: An observation-based review. Elementa: Science of the Anthropocene. 2, 000029. DOI: https://doi.org/10.12952/journal.elementa.000029

[5] Intergovernmental Panel on Climate Change, 2021. Climate Change 2021: The Physical Science Basis. IPCC: Geneva, Switzerland.

[6] Guenther, A., Jiang, X., Heald, C.L., et al., 2012. The Model of Emissions of Gases and Aerosols from Nature version 2.1 (MEGAN2.1): an extended and updated framework for modeling biogenic emissions. Geoscientific Model Development. 5, 1471–1492.

[7] Sindelarova, K., Granier, C., Bouarar, I., et al., 2014. Global data set of biogenic VOC emissions calculated by the MEGAN model over the last 30 years. Atmospheric Chemistry and Physics. 14(17), 9317–9341.

[8] Crutzen, P.J., Andreae, M.O., 1990. Biomass burning in the tropics: Impact on atmospheric chemistry and biogeochemical cycles. Science. 250(4988), 1669–1678. DOI: https://doi.org/10.1126/science.250.4988.1669

[9] Freitas, S.R., Longo, K.M., Silva Dias, M.A.F., et al., 2005. Monitoring the transport of biomass burning emissions in South America. Environmental Fluid Mechanics. 5(1–2), 135–167. DOI: https://doi.org/10.1007/s10652-005-0243-7

[10] de Souza, A., de Medeiros, E.S., Özonur, D., et al., 2024. Dynamic monitoring of tropospheric ozone concentrations in Northeast and Midwest Brazil: Insights into seasonal variations and climatic influences. International Journal of Engineering & Technology. 13(2), 204–211.

[11] Dias Nunes, M., Mariano, G.L., Alonso, M.F., 2020. Spatio-temporal variability of total ozone column and ultraviolet radiation: assessment of relationship in South America. Revista Brasileira De Geografia Física. 13(5), 2053–2073. DOI: https://doi.org/10.26848/rbgf.v13.5.p2053-2073 (in Portuguese)

[12] de Souza, A., de Oliveira-Júnior, J.F., Abreu, M.C., et al., 2022. Spatial–temporal variability of the ozone column over the Brazilian Midwest from satellite data from 2005 to 2020. Water, Air, & Soil Pollution. 233, 59. DOI: https://doi.org/10.1007/s11270-022-05532-w

[13] Jaffe, D.A., Wigder, N.L., 2012. Ozone production from wildfires: A critical review. Atmospheric Environment. 51, 1–10. DOI: https://doi.org/10.1016/j.atmosenv.2011.11.063

[14] Golyandina, N., Zhigljavsky, A., 2013. Singular Spectrum Analysis for Time Series. Springer: Berlin, Germany.

[15] Hyndman, R.J., Athanasopoulos, G., 2021. Forecasting: Principles and Practice, 3rd ed. OTexts: Melbourne, Australia.

[16] Hassani, H., Mahmoudvand, R., 2013. Multivariate singular spectrum analysis: A general view and new vector forecasting approach. International Journal of Energy and Statistics. 1(1), 55–83.

[17] Golyandina, N., 2020. Particularities and commonalities of singular spectrum analysis as a method of time series analysis and signal processing. WIREs Computational Statistics. 12(4), e1487. DOI: https://doi.org/10.1002/wics.1487

[18] Vautard, R., Yiou, P., Ghil, M., 1992. Singular-spectrum analysis: A toolkit for short, noisy chaotic signals. Physica D: Nonlinear Phenomena. 58(1–4), 95–126. DOI: https://doi.org/10.1016/0167-2789(92)90103-T

[19] Sun, M., Li, X., 2022. Window length selection of singular spectrum analysis and application to precipitation time series. Global NEST Journal. 19(2), 306–317.

[20] Veefkind, J.P., Aben, I., McMullan, K., et al., 2012. TROPOMI on the ESA Sentinel-5 Precursor: A GMES mission for global observations of the atmospheric composition for climate, air quality and ozone layer applications. Remote Sensing of Environment. 120, 70–83. DOI: https://doi.org/10.1016/j.rse.2011.09.027

[21] Ziemke, J.R., Chandra, S., Duncan, B.N., et al., 2006. Tropospheric ozone determined from Aura OMI and MLS: Evaluation of measurements and comparison with the Global Modeling Initiative's Chemical Transport Model. Journal of Geophysical Research. 111(D19).

[22] Martin, R.V., 2008. Satellite remote sensing of surface air quality. Atmospheric Environment. 42(34), 7823–7843. DOI: https://doi.org/10.1016/j.atmosenv.2008.07.018

[23] Levelt, P.F., van den Oord, G.H.J., Dobber, M.R., et al., 2006. The Ozone Monitoring Instrument. IEEE Transactions on Geoscience and Remote Sensing. 44(5), 1093–1101. DOI: https://doi.org/10.1109/TGRS.2006.872333

[24] Lu, W.Z., He, H.D., Chen, W.J., 2021. A novel integrated singular spectrum analysis and autoregressive model for PM2.5 forecasting. Atmospheric Environment. 214, 116873.

[25] Wilks, D.S., 2019. Statistical Methods in the Atmospheric Sciences, 4th ed. Elsevier: Amsterdam, The Netherlands.

[26] de Souza, A., Nunes, R.S.C., Oliveira Junior, J.F., et al., 2026. Seasonal patterns and forecasting of CO and ozone using singular spectrum analysis in a tropical urban environment. Journal of Atmospheric Science Research. 9(1), 1–15.

[27] Sicard, P., De Marco, A., Agathokleous, E., et al., 2023. Amplified ozone pollution in cities during the COVID-19 lockdown. Science of the Total Environment. 735, 139542.

[28] Wang, T., Xue, L., Brimblecombe, P., et al., 2017. Ozone pollution in China: A review of concentrations, meteorological influences, chemical precursors, and effects. Science of The Total Environment. 575, 1582–1596.

[29] Archibald, A.T., Neu, J.L., Elshorbany, Y.F., et al., 2020. Tropospheric ozone assessment report: A critical review of changes in the tropospheric ozone burden and budget from 1850 to 2100. Elementa: Science of the Anthropocene. 8(1), 34.

[30] Li, K., Jacob, D.J., Shen, L., et al., 2020. Increases in surface ozone pollution in China from 2013 to 2019: anthropogenic and meteorological influences. Atmospheric Chemistry and Physics. 20(19), 11423–11433.

[31] de Souza, A., Palácios, R.S., Oliveira, J.F., et al., 2026. Modeling and prediction of tropospheric ozone based on singular spectrum analysis and linear recurrent formula in Campo Grande, Brazil. Meteorology and Atmospheric Physics. 138, 36. DOI: https://doi.org/10.1007/s00703-026-01128-9

[32] de Souza, A., Palácios, R.S., Nassarden, D.C.S., et al., 2025. Spectral decomposition and temporal dynamics of CO and O₃ in Campo Grande, Brazil: A singular spectrum analysis approach. Air Quality, Atmosphere & Health. 18, 3679–3692. DOI: https://doi.org/10.1007/s11869-025-01857-7

[33] Zhang, B., Rong, Y., Yong, R., et al., 2022. Deep learning for air pollutant concentration prediction: A review. Atmospheric Environment. 290, 119347. DOI: https://doi.org/10.1016/j.atmosenv.2022.119347

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How to Cite

Souza, A. de. (2026). Diagnosing Seasonal Structures and Short-Term Forecasting of Tropospheric Ozone in a Tropical City Using Singular Spectrum Analysis and Linear Recurrent Formula. Journal of Atmospheric Science Research, 9(2), 64–77. https://doi.org/10.30564/jasr.v9i2.13156