The existing literature determining the optimal rotation period of a forest stand under conditions of certainty, as well as under uncertainty, lacks the genera 1 scope to be useful. A forest provides timber of commercial value, a flow of recreational services, and other valuable environmental s ervices. Providing goods and services invo lves benefits as well as costs. Relevant management decisions depend on the net va 1 ues that can be obtai ned. The present work developes a more general model for determining an optimal rotation period incorporating various fixed and variable costs associated with timber production and recreational services in an environment of certainty and uncertainty. It is shown that under certainty, the optimal rotation period is likely to be finite and depending on the values of benefits and costs the rotation period indicated by the solution of this model may be identical to, shorter, or longer than that indicated by a model ignoring net values. In addition, a generalized Faustmann rule under certainty (when only recreational value i s added to the model ) using optimal control (maximum principle) as the analytical tool has been developed and the impact of two sources of uncertainties on the optimal rotation decision in the context of the more generalized model is analyzed. They are (1) uncertainty related to future stumpage price, and (2) uncertainty related to the future stock of trees due to unpredictable natural catastrophes. Under price uncertainty the optimal rotation period will be longer than that under conditions of certainty if the forest operator is risk averse. In addition, the period wi ll be lengthened with increasing risk and shortened with increasing expected stumpage price under noni ncreasing absolute risk aversion of the forest operator. The risk of catastrophic destruction of the biomass whether total or partial will lead to a rotation period dependent on the value of the average rate of occurrence of catastrophes.
| Identifer | oai:union.ndltd.org:UTAHS/oai:digitalcommons.usu.edu:etd-5132 |
| Date | 01 May 1985 |
| Creators | Bhattacharyya, Rabindra Nath |
| Publisher | DigitalCommons@USU |
| Source Sets | Utah State University |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | All Graduate Theses and Dissertations |
| Rights | Copyright for this work is held by the author. Transmission or reproduction of materials protected by copyright beyond that allowed by fair use requires the written permission of the copyright owners. Works not in the public domain cannot be commercially exploited without permission of the copyright owner. Responsibility for any use rests exclusively with the user. For more information contact Andrew Wesolek (andrew.wesolek@usu.edu). |
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