The growth of urban areas adjacent to forest areas, as well as international trade growth, has accelerated the demand for food. These areas of growth have led to the deforestation of tropical forests, a process that contributes negatively to climate change, and a decline in the provision of environmental services and biodiversity. This article seeks to propose and simulate a theoretical model of optimal control at the household level. This model is used to explain the dynamics of forest loss by expansion of the agricultural frontier. Under these conditions, based on tradable permanent crops, farmers decide whether to install new areas for cultivation or manage existing ones in a context of increasing transportation costs. We simulate a theoretical model... |