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Fractional order Lorenz based physics informed SARFIMA-NARX model to monitor and mitigate megacities air pollution

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  • Bukhari, Ayaz Hussain
  • Raja, Muhammad Asif Zahoor
  • Shoaib, Muhammad
  • Kiani, Adiqa Kausar

Abstract

Air Pollution is an emerging disaster and considered one of the biggest challenges of the world to effectively control, mitigate and forecast due to abrupt variability, stochastic, and chaotic pattern of particulate matter (PM) in terms of time and space of the pollutants. Composition of ambient PM not only causes serious damage to public health but also emerging as a global hazard particularly for urban environment with negative impact on human health including morbidity. Mortality and ultimately towards unstable economy. In this study, hourly short-term trends of PM2.5 and air quality index (AQI) of Lahore city of Pakistan is monitored and mitigated by the design of fractional order Lorenz based physics informed hybrid computing paradigm SARFIMA-NARX for forecasting hourly pattern of next two days. The complex dynamics of earth system and its weather forecast are characterized by combination of biological, physical, and chemical processes governed by the different laws of science that provides additional information for the climate variation in terms of physics inform intelligence. The performance index based on statistical indicator of RMSE confirmed the high accuracy and efficiency of designed model to predict the pattern. The early predictions based on computational intelligence paradigm may serve as a surveillance system to reduce the air pollution through cost-effectiveness planning by environmental monitoring agencies.

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  • Bukhari, Ayaz Hussain & Raja, Muhammad Asif Zahoor & Shoaib, Muhammad & Kiani, Adiqa Kausar, 2022. "Fractional order Lorenz based physics informed SARFIMA-NARX model to monitor and mitigate megacities air pollution," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005859
    DOI: 10.1016/j.chaos.2022.112375
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    as
    1. García-Farieta, J.E. & Casas-Miranda, R.A., 2018. "Effect of observational holes in fractal analysis of galaxy survey masks," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 128-137.
    2. Heydari, M.H. & Atangana, A., 2019. "A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana–Baleanu–Caputo derivative," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 339-348.
    3. Gao, Xin-Yi & Guo, Yong-Jiang & Shan, Wen-Rui, 2021. "Oceanic studies via a variable-coefficient nonlinear dispersive-wave system in the Solar System," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    4. Owolabi, Kolade M. & Pindza, Edson & Atangana, Abdon, 2021. "Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    5. Meena, Poonam & Kishor, Ram, 2021. "First order stability test of equilibrium points in the planar elliptic restricted four body problem with radiating primaries," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    6. Folifack Signing, V.R. & Gakam Tegue, G.A. & Kountchou, M. & Njitacke, Z.T. & Tsafack, N. & Nkapkop, J.D.D. & Lessouga Etoundi, C.M. & Kengne, J., 2022. "A cryptosystem based on a chameleon chaotic system and dynamic DNA coding," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    7. Sabbie A. Miller & Frances C. Moore, 2020. "Climate and health damages from global concrete production," Nature Climate Change, Nature, vol. 10(5), pages 439-443, May.
    8. Xiaoliang Xie & Jinxia Zuo & Bingqi Xie & Thomas A. Dooling & Selvarajah Mohanarajah, 2021. "Bayesian network reasoning and machine learning with multiple data features: air pollution risk monitoring and early warning," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 107(3), pages 2555-2572, July.
    9. Atangana, Abdon & İğret Araz, Seda, 2021. "New concept in calculus: Piecewise differential and integral operators," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    10. Wang, Jian & Wen, Shuai & Yang, Mengdie & Shao, Wei, 2022. "Practical finite difference method for solving multi-dimensional black-Scholes model in fractal market," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    11. Clifford Afoakwah & Son Nghiem & Paul Scuffham & Quan Huynh & Tom Marwick & Joshua Byrnes, 2020. "Impacts of air pollution on health: evidence from longitudinal cohort data of patients with cardiovascular diseases," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 21(7), pages 1025-1038, September.
    12. Leena A. Kaushal & Anupama Prashar, 2021. "Agricultural crop residue burning and its environmental impacts and potential causes – case of northwest India," Journal of Environmental Planning and Management, Taylor & Francis Journals, vol. 64(3), pages 464-484, February.
    13. Zhou, Qian & Qi, Saibing & Ren, Cong, 2021. "Gene essentiality prediction based on chaos game representation and spiking neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    14. Parsamanesh, Mahmood & Erfanian, Majid, 2021. "Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    15. Owolabi, Kolade M. & Atangana, Abdon, 2019. "Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 41-49.
    16. Wang, Bo & Liu, Jinping & Alassafi, Madini O. & Alsaadi, Fawaz E. & Jahanshahi, Hadi & Bekiros, Stelios, 2022. "Intelligent parameter identification and prediction of variable time fractional derivative and application in a symmetric chaotic financial system," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    17. Solís-Pérez, J.E. & Gómez-Aguilar, J.F. & Atangana, A., 2018. "Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 175-185.
    18. Djennadi, Smina & Shawagfeh, Nabil & Abu Arqub, Omar, 2021. "A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    19. Asif, Raheel & Frömmel, Michael, 2022. "Testing Long memory in exchange rates and its implications for the adaptive market hypothesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
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    2. Avcı, İbrahim & Lort, Hüseyin & Tatlıcıoğlu, Buğce E., 2023. "Numerical investigation and deep learning approach for fractal–fractional order dynamics of Hopfield neural network model," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Yoshioka, Hidekazu & Yoshioka, Yumi, 2024. "Assessing fluctuations of long-memory environmental variables based on the robustified dynamic Orlicz risk," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    4. Flavia Matias Oliveira Silva & Eduardo Carlos Alexandrina & Ana Cristina Pardal & Maria Teresa Carvalhos & Elaine Schornobay Lui, 2022. "Monitoring and Prediction of Particulate Matter (PM 2.5 and PM 10 ) around the Ipbeja Campus," Sustainability, MDPI, vol. 14(24), pages 1-9, December.
    5. Anwar, Nabeela & Ahmad, Iftikhar & Kiani, Adiqa Kausar & Shoaib, Muhammad & Raja, Muhammad Asif Zahoor, 2024. "Novel intelligent predictive networks for analysis of chaos in stochastic differential SIS epidemic model with vaccination impact," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 251-283.

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