Crown Fire Transition Simulator: Van Wagner Torching Model

simulator advanced ~12 min
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I_crit = 1,847 kW/m — crown fire initiation threshold exceeded

With a 3 m canopy base height and 100% foliar moisture, the critical intensity for crown ignition is approximately 1,847 kW/m. At 2,000 kW/m surface intensity, torching is initiated.

Formula

I_crit = (0.010 × CBH × (460 + 25.9 × FMC))^1.5
R_active = 11.02 × U₁₀^0.54 × CBD^0.46 × exp(−0.0228 × FMC)
CAC = R_active / R_surface (Crown Activity Criterion)

From Surface to Crown

The transition from surface fire to crown fire is the most dangerous phase change in wildfire behavior. Surface fires burning in ground litter and low vegetation typically have flame lengths under 2 meters and can be fought by ground crews. When surface fire intensity exceeds a critical threshold, flames reach into the tree canopy, igniting crowns and producing flame lengths of 10-30 meters with intensity beyond any suppression capability.

Van Wagner's Initiation Model

C.E. Van Wagner's 1977 model elegantly predicts crown fire initiation from just two canopy parameters: canopy base height (CBH) and foliar moisture content (FMC). The critical surface intensity for crown ignition scales as the 1.5 power of CBH times a moisture-dependent heat absorption term. This means doubling canopy base height increases the required initiation intensity by a factor of roughly 2.8 — explaining why limb pruning is such effective fuel treatment.

Active vs. Passive Crowning

Crown fire initiation does not guarantee sustained crown fire. In passive crowning (torching), individual trees or groups ignite but the fire cannot spread through the canopy alone. Active crown fire requires sufficient canopy bulk density to maintain a continuous chain of crown ignition. The critical mass flow rate for sustained crowning is approximately 0.05 kg/m²/s, which translates to minimum canopy bulk densities of about 0.11 kg/m³ depending on wind speed.

Fire Management Applications

The torching index and crowning index are operationally critical outputs of fire behavior models. Fire managers use these indices to determine when conditions will produce crown fire, set trigger points for evacuations, and design fuel treatments. By manipulating canopy base height (pruning), canopy bulk density (thinning), and surface fuel loads (prescribed burning), forest managers can push the torching index above expected wind speeds, dramatically reducing crown fire risk.

FAQ

What causes a surface fire to become a crown fire?

Crown fire initiation occurs when surface fire intensity generates enough convective and radiant heat to ignite the tree canopy. Van Wagner (1977) showed that the critical surface intensity depends on canopy base height and foliar moisture content — lower canopy bases and drier foliage require less surface fire intensity to trigger crowning.

What is the torching index?

The torching index is the wind speed at which the predicted surface fireline intensity equals the critical intensity for crown fire initiation. Below the torching index, fires remain on the surface; above it, individual tree torching begins. It is a key metric in fire behavior prediction systems like FlamMap and NEXUS.

What is canopy bulk density and why does it matter?

Canopy bulk density (CBD, kg/m³) is the mass of canopy fuel per unit canopy volume. It determines whether crown fire can sustain itself once initiated. Active crown fire requires sufficient CBD (typically >0.11 kg/m³) to maintain a continuous chain of crown ignition. Thinning treatments reduce CBD to prevent active crown fire.

How can crown fire be prevented?

The primary treatments are: (1) pruning lower branches to raise canopy base height, increasing the critical intensity needed for initiation; (2) thinning to reduce canopy bulk density, preventing sustained crowning; (3) reducing surface fuels to lower fireline intensity below the critical threshold. Prescribed burning addresses (3) and partially (1).

Sources

Embed

<iframe src="https://homo-deus.com/lab/wildfire-science/crown-fire/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub