Optimal extraction from a renewable groundwater aquifer with stochastic recharge

Zeitouni, Naomi

doi:10.1029/2003wr002162

Cited by 17 publications

(17 citation statements)

References 21 publications

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“…The economic literature on optimisation models for groundwater management consists of several studies Burt 1993, 1994;Roseta-Palma 2002;Zeitouni 2004). In general, these researchers have applied differential games to explore use strategies by highlighting their efficiency and sustainability, but have not referred to non-cooperative bargaining models to depict water allocation processes among competing users.…”

Section: The Literature On Groundwater Managementmentioning

confidence: 99%

Sustainable, Just, Equal, and Optimal Groundwater Management Strategies to Cope with Climate Change: Insights from Brazil

Zagonari

2010

Water Resour Manage

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This paper applies optimal-control theory to develop groundwater exploitation strategies that account for potential climate change patterns in Brazil. Numerical experiments showed that whether climate change only affects groundwater quantity or whether it affects both groundwater quantity and quality, Brazilian water institutions will be able to implement optimal, equitable groundwater management strategies. However, they may be unable to achieve justice between current generations, while the economic, social, and environmental sustainability is likely to be favoured by a large regional groundwater availability. Institutional sustainability is ensured by the principles and institutions established by Brazil's 1988 Constitution and by Law 9.433/97. Some sources of misunderstandings between managers and the research community are dealt with by suggesting directly applicable management strategies that accommodate stakeholder perceptions and desires. Some potential water policies based on the modelling results are discussed, with water conservation and water subsidies turning out to be beneficial for current and detrimental for future generations, respectively; in contrast, current generations paying for water at its social opportunity cost and being more concerned for future generations would benefit current generations.

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Section: The Literature On Groundwater Managementmentioning

confidence: 99%

Sustainable, Just, Equal, and Optimal Groundwater Management Strategies to Cope with Climate Change: Insights from Brazil

Zagonari

2010

Water Resour Manage

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“…For instance, Zeitouni (2004) explores the optimal management of aquifers when the stock is stochastic. Tsur and Zemel (1995) explore how the possibility of irreversible changes in groundwater resources affects the optimal management and allocation rules.…”

Section: Ground Water Managementmentioning

confidence: 99%

Negotiating on water: insights from non-cooperative bargaining theory

2007

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The purpose of this paper is to review the applications of non-cooperative bargaining theory to water management problems. The interest in this subject stems from two considerations: (i) water resources continue to be mismanaged, despite their recognized importance for sustainable development, in particular in developing countries; (ii) negotiated decision making has the potential to improve water management, yet there is still little formal understanding of the forces driving bargaining processes, and applications of formal negotiation theory to water issues are also lacking. This paper surveys the existing non-cooperative bargaining models applied to water management problems, with the purpose of preliminarily assessing whether such a formal approach in the phase of problem exploration and policy formulation can support decision makers in the real world. It is the contention of this paper that the proposed approach may offer direct and indirect support by: shortening the time needed to reach an agreement through the (theoretical) identification of an ‘acceptability space’, and helping select policies which are self-enforcing and, therefore, acceptable.

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“…1 We comment on the pumping cost C(x, w), which depends on both the quantity of water withdrawn and the pumping cost per unit of water. In models used in the literature (for example, [1], [6], [14], [15], [16], [21], and [22]), the cost function has two characteristics:…”

Section: Modelmentioning

confidence: 99%

“…There are two main modeling paradigms used in the literature: the first based on optimal control of the continuous-time model, e.g., [1,5,11,12,15,16,18,19,22], and the second based on the dynamic programing formulation of the discretetime model, e.g., [7-10, 13, 14, 21]. In this article, we focus on the second paradigm.…”

Section: Introductionmentioning

confidence: 99%

Concavity and monotonicity properties in a groundwater management model

Huh

Krishnamurthy

Weber

2011

Naval Research Logistics

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We consider a discrete-time groundwater model in which the cost of pumping takes a slightly different form to that which has been traditional in the research literature to date. This enables us to prove that (a) the optimal pumping quantity is nondecreasing in the ground water stock, (b) the stock level remaining after each period's pumping is also nondecreasing in the groundwater stock, (c) the optimal decision is determined by maximizing a concave function, and finally (d) the optimal pumping quantity is nonincreasing in the number of periods to go. We show that (a)-(c), while intuitive, do not hold under traditional modeling assumptions. We also explain the connections between our results and similar ones for some classic problems of operations research.

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Optimal extraction from a renewable groundwater aquifer with stochastic recharge

Cited by 17 publications

References 21 publications

Sustainable, Just, Equal, and Optimal Groundwater Management Strategies to Cope with Climate Change: Insights from Brazil

Sustainable, Just, Equal, and Optimal Groundwater Management Strategies to Cope with Climate Change: Insights from Brazil

Negotiating on water: insights from non-cooperative bargaining theory

Concavity and monotonicity properties in a groundwater management model

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