"The optimal harvesting problem under price uncertainty: the risk averse case"

Research areas:
Year:
2015
Type of Publication:
Article
Keywords:
Multistage stochastic programming, Optimal harvesting, Forestry Coherent risk measures
Authors:
  • B.K. Pagnoncelli
  • A. Piazza
Journal:
Annals of Operations Research
Pages:
1-24
ISSN:
1572-9338
Abstract:
We study the exploitation of a one species, multiple stand forest plantation when timber price is governed by a stochastic process. Our model is a stochastic dynamic program with a weighted mean-risk objective function, and our main risk measure is the Conditional Value-at-Risk. We consider two stochastic processes, geometric Brownian motion and Ornstein–Uhlenbeck: in the first case, we completely characterize the optimal policy for all possible choices of the parameters while in the second, we provide sufficient conditions assuring that harvesting everything available is optimal. In both cases we solve the problem theoretically for every initial condition. We compare our results with the risk neutral framework and generalize our findings to any coherent risk measure that is affine on the current price.