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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

In: Technology Management for Intelligent, Open and Responsible Organizations and Ecosystems

Author

Listed:
  • 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)

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.

Suggested Citation

  • Dannae Andrea Jara Guíñez & Fabián Andrés Fuentes Gonzaáles & Jorge Eduardo Zamorano Ford, 2026. "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," Springer Proceedings in Business and Economics, in: Fabiano Armellini & Syrine Njah & Elaine Mosconi & Breno Nunes (ed.), Technology Management for Intelligent, Open and Responsible Organizations and Ecosystems, pages 174-181, Springer.
  • Handle: RePEc:spr:prbchp:978-3-032-23282-3_22
    DOI: 10.1007/978-3-032-23282-3_22
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