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Growing Science » Journal of Future Sustainability » Multiscale wavelet modeling of PM2.5 dynamics in Tehran: A time–frequency framework for urban air quality management

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Journal of Future Sustainability
ISSN 2816-8151 (Online) - ISSN 2816-8143 (Print)
Quarterly Publication
Volume 6 Issue 3 pp. 193-210, 2026

Multiscale wavelet modeling of PM2.5 dynamics in Tehran: A time–frequency framework for urban air quality management Pages 193-210 Right click to download the paper Download PDF

Authors: Mahboubeh Molavi-Arabshahi, Jalil Rashidinia, Sahar Rezaee

📋 Author Affiliations:
Mahboubeh Molavi-Arabshahi ORCID , J. Rashidinia, S. Rezaee
¹ School of Mathematics & Computer Science, Iran University of Science and Technology, Tehran, Iran
doi 10.5267/j.jfs.2026.4.005
Crossref Source: CrossRef

🔑 Keywords: PM2.5, Wavelet analysis, Air quality, Time–frequency decomposition, ARIMA modeling, Urban air pollution, Tehran, Environmental monitoring, Signal processing, Correlation analysis

Abstract: Air pollution remains a critical public health and environmental issue in megacities, with fine particulate matter (PM2.5) posing significant risks in Tehran, Iran. Traditional modeling methods often fail to capture the non-stationary and multiscale characteristics of urban air pollution dynamics. This study introduces a wavelet-based analytical framework to uncover both long-term seasonal trends and short-lived pollution events using a seven-year dataset (March 2017–March 2024) from nine monitoring stations across Tehran. We applied the Continuous Wavelet Transform (CWT) with Morlet and Daubechies 6 (db6) wavelets to decompose the PM2.5 time series into multiple temporal scales. The Morlet wavelet identified persistent winter peaks associated with temperature inversions and atmospheric stagnation, while db6 revealed abrupt, high-frequency pollution spikes linked to localized traffic emissions and industrial activity. Wavelet coherence analysis further illustrated the relationship between meteorological variables such as temperature, east-west winds, and north-south winds and PM2.5 concentrations, highlighting how these factors modulate air quality across different spatial and temporal scales. While ARIMA demonstrated stronger point-forecasting accuracy, the wavelet-based framework provided superior interpretability by preserving both gradual seasonal cycles and transient anomalies simultaneously structures that conventional models tend to smooth out. This comparison was conducted not to establish forecasting superiority, but to highlight the distinct and complementary role of wavelet analysis as a diagnostic tool for pollution hotspot identification and early-warning systems rather than pure numerical prediction. These findings underscore the value of wavelet analysis as not only an advanced analytical tool but also a decision-support system for real-time air quality monitoring and spatially targeted policy planning. By capturing the full spectrum of PM2.5 dynamics from chronic seasonal exposure to acute pollution spikes, this approach offers a more comprehensive framework for adaptive urban air quality management in complex environments like Tehran.

How to cite this paper
APA: Molavi-Arabshahi, M., Rashidinia, J & Rezaee, S. (2026). Multiscale wavelet modeling of PM2.5 dynamics in Tehran: A time–frequency framework for urban air quality management. Journal of Future Sustainability, 6(3), 193-210.
Chicago/Turabian: Molavi-Arabshahi, M., Rashidinia, J & Rezaee, S. 2026. "Multiscale wavelet modeling of PM2.5 dynamics in Tehran: A time–frequency framework for urban air quality management." Journal of Future Sustainability 6, no. 3 (2026): 193-210.
AMA: Molavi-Arabshahi, M., Rashidinia, J & Rezaee, S. Multiscale wavelet modeling of PM2.5 dynamics in Tehran: A time–frequency framework for urban air quality management. Journal of Future Sustainability. 2026;6(3):193-210.

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📚 Journal: Journal of Future Sustainability | 📅 Year: 2026 | 📖 Volume: 6 | 📄 Issue: 3 | 👁️ Views: 323 | 📊 Crossref:

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