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Article
Optimal harvesting in forestry: Steady-state analysis and climate change impact
Mathematics Faculty Publications
  • Natali Hritonenko, Prairie View A&M University
  • Yatsenko Yatsenko, Houston Baptist University
  • Renan Ulrich Goetz, Universitat de Girona
  • Angels Xabadia, Universitat de Girona
Document Type
Article
Publication Date
4-18-2013
Abstract

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. © 2013 Natali Hritonenko.

Citation Information
Natali Hritonenko, Yatsenko Yatsenko, Renan Ulrich Goetz and Angels Xabadia. "Optimal harvesting in forestry: Steady-state analysis and climate change impact" (2013)
Available at: http://works.bepress.com/natali-hritonenko/47/