Application of Poisson Processes and the Hamilton-Jacobi-Bellman Equation in Modelling Environmental Shocks and Their Economic Impacts on the Forestry Industry: A Literature Review

Dannae Andrea Jara Guíñez (), Fabián Andrés Fuentes Gonzaáles () and Jorge Eduardo Zamorano Ford ()
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Dannae Andrea Jara Guíñez: University of Santiago de Chile
Fabián Andrés Fuentes Gonzaáles: University of Santiago de Chile
Jorge Eduardo Zamorano Ford: University of Santiago de Chile

A chapter in Technology Management for Intelligent, Open and Responsible Organizations and Ecosystems, 2026, pp 174-181 from Springer

Abstract: Abstract Climate change and environmental shocks, such as wildfires, generate significant economic impacts on the forestry industry. This study presents a systematic literature review on the use of Poisson stochastic processes and the Hamilton-Jacobi-Bellman (HJB) equation to model these events. Ten articles were selected based on rigorous criteria, revealing a gap in the literature regarding the application of these models in non-financial sectors. The importance of integrating these approaches within the framework of circular economy and circular ecosystems is emphasized, improving resource utilization and minimizing environmental impacts. Finally, for future research, it is proposed to develop a model to maximize economic benefits in the forestry industry, considering regulations and sustainable strategies.

Keywords: stochastic processes; poisson model; hamilton-jacobi-bellman equation; forest industry; environmental shocks (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:prbchp:978-3-032-23282-3_22

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DOI: 10.1007/978-3-032-23282-3_22

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