Análisis y Proyección de Deforestación en el Bosque Jamanxim Usando Segmentación Satelital y Modelo Logístico con Euler Mejorado

Justification: deforestation in the Brazilian Amazon is a critical problem that requires quantitative and predictive methods for monitoring and control. The Jamanxim National Forest, as an area of interest, needs accurate assessments using satellite technology and mathematical models. Objective: to analyze and project deforestation in Jamanxim using satellite images and an improved Euler logistic model. Methodology: images (2000-2019) were processed using HSV segmentation (thresholding and mathematical morphology) to identify deforested areas. The affected area was quantified in km², and a logistic model solved with the improved Euler method was implemented to project 10 years of deforestation, using Python/Google Colab; the satellite images used were taken from NASA Earth Observatory (NASA Earth Observatory, n.d.), which guarantees a reliable and open-access source. This methodological combination, although still with margins of error, provides a useful basis for decision-making aimed at forest conservation. Results: sustained expansion was confirmed, with a progressive increase in deforested areas. The logistic model projected continuous growth, albeit with a theoretical limit. Conclusion: the combination of computer vision and mathematical modeling offers a viable tool for environmental monitoring. The results highlight the urgency of conservation interventions and the usefulness of this methodology for decision-making.