Some Theoretical Aspects of Range Condition Assessment in the Presence of a Threshold
13 Pages Posted: 1 Apr 2004
Date Written: March 2004
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: Suggested Citation