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
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: Suggested Citation