Rate of Spread Calculator

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Wildfire Rate of Spread (ROS) Calculator

Observed Rate of Spread: m/min
Rate in Chains per Hour: ch/h
Estimated Forward Spread (with Wind/Slope): m/min
Fire Intensity Category:

Understanding Rate of Spread (ROS) in Wildfire Management

The Rate of Spread (ROS) is a critical metric used by fire behavior analysts and incident commanders to predict how quickly a fire front moves across a landscape. It is typically measured in meters per minute (m/min) or chains per hour (ch/h), where one chain equals 66 feet or approximately 20 meters.

Key Factors Influencing Spread

Calculating the ROS is not just about measuring distance over time; it involves understanding the environment. The primary factors include:

  • Fuel Type: Grass fires spread much faster than timber fires due to the "fine" nature of the fuel.
  • Wind Speed: Wind provides oxygen and tilts flames forward, pre-heating fuel ahead of the fire.
  • Slope: Fire spreads faster uphill because the flames are closer to the fuel on the rising ground.
  • Fuel Moisture: Dry fuels ignite and burn significantly faster than those with high moisture content.

The ROS Calculation Formula

The basic mathematical formula for observed rate of spread is:

ROS = Distance / Time

To predict future spread, professionals use the Rothermel surface fire spread model, which incorporates wind and slope adjustment factors. This calculator uses a simplified adjustment where wind speed and slope percentage provide a multiplier to the base observed rate.

Example Calculation:
If a fire travels 600 meters in 20 minutes, the observed ROS is 30 meters per minute.
If you are in a standard forestry unit, this translates to 90 chains per hour (since 1 m/min ≈ 3 chains/hour). If a 20 km/h wind picks up on a 15% slope, that spread rate could easily double or triple.

Why Monitoring ROS is Crucial

Knowing the ROS allows emergency services to determine evacuation timelines. If a fire is 2 kilometers from a town and spreading at 10 m/min, it will reach the perimeter in 200 minutes (3.3 hours). This data is the difference between a successful evacuation and a disaster.

function calculateROS() { var distance = parseFloat(document.getElementById("distanceInput").value); var time = parseFloat(document.getElementById("timeInput").value); var wind = parseFloat(document.getElementById("windSpeed").value) || 0; var slope = parseFloat(document.getElementById("slopePercent").value) || 0; var resultDiv = document.getElementById("rosResult"); if (isNaN(distance) || isNaN(time) || time <= 0) { alert("Please enter valid positive numbers for distance and time."); return; } // Basic calculation var observed = distance / time; // Chains per hour conversion (1 m/min is approx 2.98 chains/hr, standardly rounded to 3 in field guides) var chains = observed * 2.982; // Simplified adjustment factor logic (Environmental Impact) // Wind factor: every 10km/h increases ROS by roughly 40% in simplified models var windFactor = 1 + (wind * 0.04); // Slope factor: spread doubles for every 15-20% slope increase var slopeFactor = 1 + (slope * 0.05); var adjusted = observed * windFactor * slopeFactor; // Determine Intensity var intensity = ""; if (adjusted < 2) { intensity = "Low (Creeping)"; } else if (adjusted < 10) { intensity = "Moderate (Active Ground Fire)"; } else if (adjusted < 30) { intensity = "High (Running Fire)"; } else { intensity = "Extreme (Potential Crowning)"; } // Display Results document.getElementById("observedROS").innerHTML = observed.toFixed(2); document.getElementById("chainsPerHour").innerHTML = chains.toFixed(2); document.getElementById("adjustedROS").innerHTML = adjusted.toFixed(2); document.getElementById("fireIntensity").innerHTML = intensity; resultDiv.style.display = "block"; }

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