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

Amitrajeet A. Batabyal, STOCHASTIC MODELING IN RANGE MANAGEMENT: SELECTED ESSAYS, Nova Science Publishers, 2004

Posted: 3 May 2004

See all articles by Amitrajeet A. Batabyal

Amitrajeet A. Batabyal

Rochester Institute of Technology (RIT) - Department of Economics

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Abstract

Ecologists have advocated the use of the notion of thresholds in range condition (or state) assessments. Despite this advocacy, there is almost no theoretical research on range condition assessment in the presence of thresholds. Therefore, this chapter has three goals. 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 show the formal relationship between the desirable and the undesirable sets of states of this rangeland. Finally, we calculate the mean 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, Q24

Suggested Citation

Batabyal, Amitrajeet A., Some Theoretical Aspects of Range Condition Assessment in the Presence of a Threshold. Amitrajeet A. Batabyal, STOCHASTIC MODELING IN RANGE MANAGEMENT: SELECTED ESSAYS, Nova Science Publishers, 2004, Available at SSRN: https://ssrn.com/abstract=536863

Amitrajeet A. Batabyal (Contact Author)

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