OPTIMAL GRAZING MANAGEMENT RULES IN SEMI-ARID RANGELANDS WITH UNCERTAIN RAINFALL
Article first published online: 7 NOV 2011
©2011 Wiley Periodicals, Inc.
Natural Resource Modeling
Volume 25, Issue 2, pages 364–387, May 2012
How to Cite
QUAAS, M. F. and BAUMGÄRTNER, S. (2012), OPTIMAL GRAZING MANAGEMENT RULES IN SEMI-ARID RANGELANDS WITH UNCERTAIN RAINFALL. Natural Resource Modeling, 25: 364–387. doi: 10.1111/j.1939-7445.2011.00110.x
- Issue published online: 16 APR 2012
- Article first published online: 7 NOV 2011
- Received by the editors on 22 January 2011. Accepted 20 September 2011.
- Environmental risk;
- risk management;
- stochastic optimal control;
- grazing management;
- rules of thumb
Abstract. We study optimal adaptive grazing management under uncertain rainfall in a discrete-time model. As in each year actual rainfall can be observed during the short rainy season, and grazing management can be adapted accordingly for the growing season; the closed-loop solution of the stochastic optimal control problem does not only depend on the state variable, but also on the realization of the random rainfall. This distinguishes optimal grazing management from the optimal use of most other natural resources under uncertainty, where the closed-loop solution of the stochastic optimal control problem depends only on the state variables. Solving this unusual stochastic optimization problem allows us to critically contribute to a long-standing controversy over how to optimally manage semi-arid rangelands by simple rules of thumb.