The availability of wildland fire propagation models with parameters estimated in an accurate way starting from measurements of fire fronts is crucial to predict the evolution of fire and allocate resources for firefighting. Thus, we propose an approach to estimate the parameters of a wildland fire propagation model combining an empirical fire spread rate and level set methods to describe the evolution of the fire front over time and space. After validating the model, the estimation of parameters in the spread rate is performed by using fire front shapes measured at different time instants as well as wind velocity and direction, landscape elevation, and vegetation distribution. Parameter estimation is performed by solving an optimization problem, where the objective function to be minimized is the symmetric difference between predicted and measured fronts. Numerical results obtained by the application of the proposed method are reported in two simulated scenarios and in an application case study using real data of the 2002 Troy fire in Southern California, thus showing the effectiveness of the proposed approach.

中文翻译：

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使用水平集方法估计火势传播模型的参数

具有从火锋测量开始以准确方式估计参数的荒地火灾传播模型的可用性对于预测火灾演变和分配灭火资源至关重要。因此，我们提出了一种估计野火传播模型参数的方法，结合经验火蔓延率和水平集方法来描述火锋随时间和空间的演变。在对模型进行验证后，利用不同时刻测量的火锋形状以及风速和风向、景观高程和植被分布来估计蔓延速率中的参数。参数估计是通过解决优化问题来执行的，其中要最小化的目标函数是预测前沿和测量前沿之间的对称差异。应用所提出的方法获得的数值结果在两个模拟场景和使用南加州 2002 年特洛伊火灾真实数据的应用案例研究中得到了报告，从而表明了所提出方法的有效性。