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On Environmental Characteristics as a Factor in Modeling California Wildfire Smoke Diffusion

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  • Zhixiong Chen
  • Valarie Yi Ding
  • Keith Lawrence Corpuz

Abstract

In this article, we compare two California wildfires during the COVID‐19 pandemic and determine the extent to which environmental characteristics affect the diffusion of wildfire smoke. We model the spread of smoke concentration in the region of the fires using a diffusion‐advection‐decay equation considering existing particulate matter as a source. We derive the coefficients for the model from Boltzmann calculations, wind speeds, and half‐life. We analyze the resulting solution curves and numerical data through a MATLAB program to suggest reforms, modifications, and addenda to policies on the evacuation and return of affected residents. We find return policies can be modified so residents return 2 weeks before or after the recommended time, which we concluded as 3 months after initial ignition.

Suggested Citation

  • Zhixiong Chen & Valarie Yi Ding & Keith Lawrence Corpuz, 2025. "On Environmental Characteristics as a Factor in Modeling California Wildfire Smoke Diffusion," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnljam:v:2025:y:2025:i:1:n:6667856
    DOI: 10.1155/jama/6667856
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    References listed on IDEAS

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    1. Zhixiong Chen & Yi Ding & Rusty Laracuenti & Bernard Lipat, 2013. "Modelling the Effects of Radioactive Effluent on Thunnus orientalis and Oncorhynchus gorbuscha," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Zhixiong Chen & Yi Ding & Rusty Laracuenti & Bernard Lipat, 2013. "Modelling the Effects of Radioactive Effluent on Thunnus orientalis and Oncorhynchus gorbuscha," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-12, August.
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