Monte Carlo method for map area calculation in wildland fire map management

Fire spreading or fire propagation is the transfer of heat from the fire to the fuel bed, and heating it to its ignition point. Wildland fire management needs information about the characteristics and areas on the map. The map is always available in complicated geometry and difficult to calculate the area. The Monte Carlo technique gives an easy but powerful and accurate method to handle that problem. This study prepares the methodology for complicated area calculation with a large area range ratio. Hypothetic map areas with different shapes and sizes ensure the applicability of the real map. For validation purposes, the hypothetic map is also ready for theoretical calculation due to its border involving ideal geometry. The results show that the Monte Carlo technique give 1 % error for small size area (1 % of total area), 0.2% - 0.05% error for mid-size area (20% - 30% of total area), and 0.025% error for big-size area (50% of the total area). The accuracy level of this Monte Carlo technique indicate the readiness for wild land map area that always involved as complicated shape maps.