Prescribed Burn Planning
Estimate fire behavior for prescribed burns including rate of spread, flame length, and intensity based on fuel, wind, slope, and moisture conditions.
About this calculator
This is an educational, planning-stage estimate of wildland fire behavior built on a simplified version of the Rothermel fire-spread relationships that professional fire behavior analysts use, not a substitute for a certified burn plan or a fire behavior analyst's on-site judgment. Rothermel's model was published in 1972 as USDA Forest Service Research Paper INT-115 and has been the mathematical basis of US wildland fire behavior prediction systems ever since. Rate of Spread starts from a base spread rate that scales directly with Fuel Load, then multiplies by three independent factors: a Wind Speed factor that grows linearly with midflame wind, a Slope factor that grows with the square of the terrain's tangent (so spread accelerates sharply as slope steepens, matching the well-documented tendency of fire to run uphill), and a Fine Fuel Moisture damping factor that falls as moisture rises and bottoms out at a small floor once fuel is wet enough that almost nothing burns. Estimated Flame Length is derived from Rate of Spread and Fuel Load through a relationship in the style of Byram's (1959) fireline-intensity-to-flame-length equation, and Fire Behavior Classification buckets that flame length into four bands — a shape that broadly tracks the flame-length-to-suppression-difficulty guidance fire crews use, from hand-tool-effective to control-difficult.
Condition Assessment compares Fine Fuel Moisture, Wind Speed, and the resulting Flame Length against typical prescribed-fire prescription windows to flag whether the entered conditions look favorable, marginal, or too extreme. Heat Release Intensity and Total Heat Release model how much of the fuel load actually combusts (drier fuel burns more completely) rather than assuming every ton of fuel on the ground releases its full heat content. Because real burn plans set numeric prescriptions from local fuel models, historical weather, and smoke-management regulations specific to the burn unit, treat every output here as a rough planning estimate to sanity-check against your actual prescribed burn plan — never as authorization to burn.
Inputs
Results
Fire Behavior Classification
Moderate — Hand tools at flanks only
Estimated Flame Length
4.7 ft
≈ 10 smartphones
Figures current as of 1972. Source: Rothermel RC. A Mathematical Model for Predicting Fire Spread in Wildland Fuels. USDA Forest Service Research Paper INT-115. 1972.
How to Use This Calculator
- Enter the Fuel Load in tons/acre and the Wind Speed (mid-flame height) in mph.
- Enter the Slope percentage and Fine Fuel Moisture percentage for current conditions.
- Review the Fire Behavior Classification and Condition Assessment to decide if conditions are within prescription.
- Check Flame Length and Rate of Spread in chains/hour to verify fireline intensity is controllable.
- Use PM2.5 Emissions and Fuel Consumed percentage for smoke management planning.
What each input means
- Fuel Load
- Dry fuel weight on the ground in tons per acre. Light fuels: 1-3, moderate: 3-8, heavy: 8+.
- Wind Speed (midflame)
- Midflame wind speed in mph. Typically 1/3 to 1/2 of 20-ft wind speed in timber.
- Slope
- Terrain slope as percentage. Fire spreads faster uphill. 0% is flat, 100% is 45 degrees.
- Fine Fuel Moisture
- Moisture content of dead fine fuels (1-hour fuels). Ideal for Rx burn: 8-20%. Below 5% is dangerous.
What each result means
- Heat Release Intensity
- Heat released per square foot of burned area — the fireline-relevant intensity measure.
- Total Heat Release
- The same heat release totaled over a full acre (Heat Release Intensity × 43,560 sq ft).
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersFuel Load = 5, Wind Speed (midflame) = 5, Slope = 10, Fine Fuel Moisture = 10 = 4 input(s) provided
- Calculate Fire Behavior ClassificationModerate — Hand tools at flanks only = Moderate — Hand tools at flanks only
- Calculate Estimated Flame LengthEstimated Flame Length4.7 = 4.7
- Calculate Condition AssessmentWithin prescription — conditions favorable = Within prescription — conditions favorable
- Calculate Rate of SpreadRate of Spread1.3 = 1.3
Figures and sources
- Rothermel fire-spread model and Byram's flame-length relationship (1972) — Rothermel RC. A Mathematical Model for Predicting Fire Spread in Wildland Fuels. USDA Forest Service Research Paper INT-115. 1972.
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does a small increase in slope change the fire behavior so much?
The Slope factor in this model grows with the SQUARE of the slope's tangent, not linearly, so its effect accelerates as terrain gets steeper — a real feature of how fire preheats fuel uphill of the flame front. At 10% slope the multiplier is only about 1.05, but by 50% slope it has grown past 2x, meaning the same fuel and wind conditions can push an otherwise moderate fire into a much faster-spreading one purely from terrain.
Does raising the fuel moisture always slow the fire down?
Yes, across the full 1-40% declared range — higher Fine Fuel Moisture lowers the moisture-damping factor that multiplies Rate of Spread, so Rate of Spread, Flame Length, and both heat-release outputs never increase as moisture rises. Past roughly 12% moisture in this model the damping factor hits its floor and further moisture stops changing the result further, which mirrors how very wet fuel simply stops carrying fire rather than burning progressively slower without limit.
What's the difference between Heat Release Intensity and Total Heat Release?
Heat Release Intensity is the heat released per square foot of burned area — the figure that matters for fireline behavior and firefighter safety at any one point on the fire. Total Heat Release is that same intensity multiplied out over a full acre (43,560 square feet), which is more useful for thinking about the overall energy released by the burn unit as a whole rather than conditions at the flame front.
Can I use the Condition Assessment result to decide whether to actually burn?
No — treat it only as a rough sanity check against the qualitative ranges commonly used in prescribed-fire planning (moderate wind, moisture roughly in the 8-20% band, and a controllable flame length). An actual go/no-go decision requires your unit's approved burn plan, a real-time on-site weather and fuel-moisture check, and sign-off from a qualified burn boss — this calculator has no visibility into any of that.
What is the Rothermel model this calculator's rate-of-spread math is based on?
Richard C. Rothermel published the underlying fire-spread model in 1972 as USDA Forest Service Research Paper INT-115, "A Mathematical Model for Predicting Fire Spread in Wildland Fuels." It calculates spread rate from an energy balance between the heat a fire generates and the heat needed to ignite fuel ahead of it, and — along with Byram's 1959 flame-length-from-intensity relationship, which this calculator's flame-length formula is styled after — it remains the mathematical foundation of the fire behavior prediction systems US wildland fire agencies use today. This calculator is a simplified educational approximation of that model, not the full multi-variable Rothermel calculation.
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