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Research on Southern California wildfires.


Math Model

  • Layer Interactions: Formalize bidirectional feedback between layers using coupled dynamical systems: $$ \begin{aligned} \frac{\mathrm{d}E_{h}}{\mathrm{d}t}&=f_h(H, W)\ W_r&=g_r(E, H)\ P(x,y,t)&=\exp\left(\beta_0 + \beta_1 H(x,t) + \beta_2 E(x,t) + \phi(x,t)\right) \end{aligned} $$

    • Human Activities (H): Migration density, energy consumption (e.g., per capita kWh), land-use policies
    • Environmental Factors (E): Temperature, humidity, NDVI (vegetation health), soil moisture
    • Wildfire Dynamics (W): Ignition probability, fire spread rate, burn severity
      • Wildfire probability of Spatio-Temporal Bayesian Hierarchical Model where $\phi(x,t)$ is a spatial random effect (e.g., Gaussian process)
      • Wildfire probability of pair interpretable model: Cox Proportional Hazards Model with ML (Random Forests) for non-linearities (e.g., humidity thresholds for ignition)
  • Spatio-Temporal Granularity: data over 30m-1km resolution 2D grids (potentially 3D in future) and time to capture microclimates

  • Layer Feedback Loops: system dynamics with stock-flow diagram analysis


H2W Data

Google Dataset Search


W2H Impact Analysis

  • Wildfire mediated impacts on human activity

    • Drinking Water: burn severity correlating with watershed sediment load via HEC-HMS hydrologic models
    • Energy Prices: infrastructure damage (e.g., power lines) with input-output networks; correlate with PG&E price volatility data, additional data
    • Land Use: post-fire rezoning via cellular automata (e.g., transition from residential to restricted zone)
  • Policy Suggestion

    • WUI Building Restrictions: reduce ignition sources (by 40%?)
    • Renewable Energy Adoption: simulate decarbonization altering regional temperature trends via WRF-Chem climate simulations

Methodology

  • Rank drivers (e.g., humidity vs. migration) via Sobol Sensitivity Analysis
  • Build Environmental Layer using Python's xarray (climate data), Google Earth Engine (NDVI/soil moisture), etc.
  • Develop the Bayesian model for probabilistic inference in Stan, PyMC, etc.
  • Propagate climate/model uncertainty into risk maps via Monte Carlo Ensemble
  • Couple with system dynamics for policy testing in Vensim, AnyLogic, etc.

Journals

  • Environmental Research Letters (focus on impact of fires on water/energy)
  • Spatial Statistics (focus on model methodology)
  • Nature Sustainability (focus on policy implications)

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Research on Southern California wildfires

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