Abstract

We solve a stochastic high-dimensional optimal harvesting problem by using reinforcement learning algorithms developed for agents who learn an optimal policy in a sequential decision process through repeated experience. This approach produces optimal solutions without discretization of state and control variables. Our stand-level model includes mixed species, tree size structure, optimal harvest timing, choice between rotation and continuous cover forestry, stochasticity in stand growth, and stochasticity in the occurrence of natural disasters. The optimal solution or policy maps the system state to the set of actions, i.e., clear-cutting, thinning, or no harvest decisions as well as the intensity of thinning over tree species and size classes. The algorithm repeats the solutions for deterministic problems computed earlier with time-consuming methods. Optimal policy describes harvesting choices from any initial state and reveals how the initial thinning versus clear-cutting choice depends on the economic and ecological factors. Stochasticity in stand growth increases the diversity of species composition. Despite the high variability in natural regeneration, the optimal policy closely satisfies the certainty equivalence principle. The effect of natural disasters is similar to an increase in the interest rate, but in contrast to earlier results, this tends to change the management regime from rotation forestry to continuous cover management.

Highlights

  • The effect of natural disasters is similar to an increase in the interest rate, but in contrast to earlier results, this tends to change the management regime from rotation forestry to continuous cover management

  • Size-structured dynamic models based on empirically realistic details of forest growth aim to develop forest management but quickly become excessively complicated when integrated with economics and optimization

  • In sharp contrast with earlier results, we find that natural disasters cause a switch from rotation forestry (RF) to CCF if the former is optimal in a deterministic environment

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Summary

Introduction

Size-structured dynamic models based on empirically realistic details of forest growth aim to develop forest management but quickly become excessively complicated when integrated with economics and optimization. Further problems arise from the need to optimize the rotation period and the timing of thinning and the number of trees cut from various size classes and tree species. To obtain long-term sustainable solutions, the time horizon should be long, preferably infinite. Stochasticity is inherently involved in prices, interest rate, forest growth, and as natural disasters such as fires and windthrows. Literature offers various advanced approaches to cope with these complications, but mixed-species stochastic forestry models with detailed, realistic structures still call for further improvements. Our aim is to show that these complications can be approached by new methods developed in machine learning

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