Deforestation is a major threat to global environmental wellness, with illegal logging as one of the major causes. Recently, there has been increased effort to model environmental crime, with the goal of assisting law enforcement agencies in deterring these activities. We present a continuous model for illegal logging applicable to arbitrary domains. We model the practice of criminals under influence of law enforcement agencies using tools from multiobjective optimal control theory and consider non-instantaneous logging events and load-dependent travel velocity. We calibrate our model using real deforestation data from the Brazilian rainforest and demonstrate the importance of geographically targeted patrol strategies.

砍伐森林是对全球环境健康的主要威胁，非法砍伐是主要原因之一。最近，人们加大了对环境犯罪建模的努力，目的是协助执法机构制止这些活动。我们提出了适用于任意域的非法记录的连续模型。我们使用多目标最优控制理论中的工具对执法机构影响下的犯罪分子的行为进行建模，并考虑非瞬时伐木事件和与负载有关的行驶速度。我们使用来自巴西雨林的真实森林砍伐数据对模型进行了校准，并证明了针对地理位置的巡逻策略的重要性。