Grassland Fire Danger Index Calculator

The Grassland Fire Danger Index (GFDI) is a widely used measure to assess the potential fire risk in grasslands. By considering factors like temperature, relative humidity, wind speed, and the percentage of curing (dryness of vegetation), it helps predict the likelihood and intensity of a fire.

Calculation Formula

The formula for calculating the GFDI is:

\[ \text{GFDI} = 1.29 \times \left(\frac{\text{Curing}}{100}\right) \times e^{(0.987 \times \ln(\text{Wind Speed} + 0.5) + 0.0338 \times \text{Temperature} - 0.0345 \times \text{Humidity})} \]

Importance and Usage

The GFDI is crucial for land management agencies, farmers, and emergency services, allowing them to determine when conditions are critical for fire outbreaks and plan accordingly.

Example Calculation

For example, with a temperature of 30°C, humidity of 40%, wind speed of 20 km/h, and curing at 80%, the GFDI would be:

\[ \text{GFDI} \approx 1.29 \times \left(\frac{80}{100}\right) \times e^{(0.987 \times \ln(20 + 0.5) + 0.0338 \times 30 - 0.0345 \times 40)} \approx 20.58 \]