Some Theoretical Aspects of Range Condition Assessment in the Presence of a Threshold

13 Pages Posted: 1 Apr 2004

See all articles by Amitrajeet A. Batabyal

Amitrajeet A. Batabyal

Rochester Institute of Technology (RIT) - Department of Economics

Multiple version iconThere are 2 versions of this paper

Date Written: March 2004

Abstract

Ecologists have advocated the use of the concept of thresholds in range condition (or state) assessments. Despite this advocacy, there is virtually no theoretical research on range condition assessment in the presence of thresholds. As such, this chapter has three objectives. First, we use a Markov chain theoretic framework to characterize a rangeland whose spatial and temporal behavior is subject to the presence of a threshold. Next, we use this framework to demonstrate the formal relationship between the desirable and the undesirable sets of states of this rangeland. Finally, we compute the expected amount of time this rangeland spends in the desirable and in the undesirable sets of states. These two expectations can be interpreted as a binary measure of the condition of the rangeland under study.

Keywords: Markov chain, range condition, threshold, uncertainty

JEL Classification: Q20, D81

Suggested Citation

Batabyal, Amitrajeet A., Some Theoretical Aspects of Range Condition Assessment in the Presence of a Threshold (March 2004). Available at SSRN: https://ssrn.com/abstract=520402 or http://dx.doi.org/10.2139/ssrn.520402

Amitrajeet A. Batabyal (Contact Author)

Rochester Institute of Technology (RIT) - Department of Economics ( email )

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