Burning Bright to Burning Out: How Mathematical Models are Used to Combat Wildfires
(Image Credit: The Economist)
(Image Credit: Bloomberg)
(Image Credit: USDA Forest Service)
April 7, 2025
Jessica A. Dennehy
11th Grade
Williamsville East High School
Wildfires have seared themselves into the modern global consciousness. From Canada to Australia, from Spain to the United States, the international community has long been dominated by the damage wrought by wildfires. And as climate change continues to drive global temperatures upward, they have only grown more frequent, intense, and destructive. However, thanks to sophisticated models, advanced simulations, and artificial intelligence, the world’s ability to respond to wildfires has also advanced. These developments have allowed experts to make faster, better-informed choices to help save lives and our planet's landscapes.
Wildfires can defy simple logic—one home may be burned to the ground while its neighbor remains standing, completely untouched. As such, the available predictive models of fire behavior have become indispensable in wildfire prevention and responses. Among them is notably the Rothermel fire spread equation, which, through the utilization of wind patterns, terrain, and fuel type, is able to calculate a fire’s speed and direction. Although deceptively simple, the Rothermel fire spread equation is a crucial tool in wildfire management, allowing firefighters and emergency responders to be able to anticipate the behavior of different wildfires. The increased effectiveness of these mathematical models, however, is coupled with the rapid evolution of real-time weather integration systems. The Rothermel fire spread equation, after all, depends on natural variables subject to rapid change. Systems like the Coupled Atmosphere-Wildland Fire Environment (CAWFE) model can account for these sudden changes that previously made wildfires so erratic. Because CAWFE is able to analyze shifting wind patterns, humidity, and temperatures in real time, the accuracy and precision of forecasts have greatly improved.
Most wildfires aren’t extinguished, instead being contained and left to burn out. As such, strategic evacuations and resource deployment are critical. As such, simulations such as the QUIC-Fire (Quick Interface for Complex Fires) have become essential to modern wildfire management. The QUIC-Fire, another advanced model, is able to predict wildfire behavior even in intricate environments, from dense forests to urban-wildland interfaces. Because these models are able to simulate fire spread across uneven terrain, emergency planners are better able to identify optimal escape routes and optimal resource allocation. When integrated with real-time weather updates, these simulations allow emergency responders to be suited to make optimal and timely decisions. Having tools like these available allows for lives to be saved, communities to be preserved, and the damage wrought by wildfires to be minimized.
As global temperatures continue to climb, wildfires will only continue to grow more fierce. The very mathematical models that are used to predict modern wildfire behavior are being adapted to assess climate change's long-term impact on wildfire behavior. From rising temperatures to shifting rainfall, from aridity to changes in vegetation, scientists are now able to simulate future conditions—and plan for them. These insights into the future of wildfire behavior empower policymakers to strengthen defenses in vulnerable regions before these natural disasters occur. The world will continue to deal with wildfires, but through modern mathematics and technology, humanity can progress in our search for a solution—one mathematical model at a time.
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