A Carnaúba em Campo Maior – PI: um estudo matemático sobre a gestão sustentável deste recurso natural

Abstract

Carnauba is a plant resource of great economic, ecological, and cultural value in the region of Campo Maior, in the state of Piauí. Faced with the growing exploitation and concerns about the sustainability of the species, this study aimed to develop a robust mathematical model to represent the dynamics between its natural regeneration and human exploitation. The methodology was based on a bibliographic review and the construction of a quantitative model using official data, simulating different extraction scenarios. The results revealed that, under current conditions, the carnauba stock tends to stabilize at low levels, which may compromise its productive and ecological function in the long term. On the other hand, scenarios with proper management showed that balance and sustainability are achievable. It is concluded that mathematical modeling is a useful tool to support decisions related to the rational use of carnauba, contributing to environmental preservation and local development.