UNCERTAINTY AND IRREVERSIBILITY IN GROUNDWATER RESOURCE MANAGEMENT

Optimal exploitation of renewable groundwater resources when extraction affects the probability of occurrence of an irreversible event is studied. The term irreversible signifies that the event occurrence renders the resource obsolete. It is found that uncertainty concerning the event occurrence has a profound effect. Under certainty - when the stock level below which the event occurs is known in advance - the optimal state process converges to a unique equilibrium state. Under uncertainty, when the event occurrence level is unknown, we identify equilibrium intervals and show that optimal processes initiated elsewhere converge to a boundary of one of these intervals. Inside an equilibrium interval, the expected loss due to the event occurrence is so high that it does not pay to extract in excess of recharge, even though under certainty doing so would be beneficial. These properties are illuminated by means of an example for which analytic solutions are derived.


Issue Date:
1994
Publication Type:
Working or Discussion Paper
PURL Identifier:
http://purl.umn.edu/13590
Total Pages:
35
Series Statement:
Staff Paper P94-13




 Record created 2017-04-01, last modified 2017-08-23

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