Optimal harvesting in forestry: Steady-state analysis and climate change impact
We perform the steady-state analysis of a nonlinear partial differential equation model that describes the dynamics of a managed size-structured forest. The harvesting policy is to maximize the net benefits from timber production over an infinite planning horizon. The existence and uniqueness of the...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10256/16923 |
| Acceso en línea: | http://hdl.handle.net/10256/16923 |
| Access Level: | acceso abierto |
| Palabra clave: | Sustainable development -- Mathematical models Desenvolupament sostenible -- Models matemàtics Boscos i silvicultura -- Factors climàtics Forests and forestry -- Climatic factors Biologia de poblacions -- Models matemàtics Population biology -- Mathematical models |
| Sumario: | We perform the steady-state analysis of a nonlinear partial differential equation model that describes the dynamics of a managed size-structured forest. The harvesting policy is to maximize the net benefits from timber production over an infinite planning horizon. The existence and uniqueness of the steady-state trajectories are analysed. Closed-form steady states are obtained in meaningful special cases and are used to estimate how climate change affects the optimal harvesting regime, diameter of cut trees, number of logged trees, and net benefits in the long run |
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