Sustainability of an economy with an exhaustible resource: A viable control approach

Martinet, Vincent; Doyen, Luc

doi:10.1016/j.reseneeco.2006.03.003

Cited by 99 publications

(63 citation statements)

References 16 publications

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“…In this case, it follows from part 2 of Proposition 2 that the solution corresponds to the maximin consumption under a resource preservation constraint [4,19,20,28]. The consumption is constant, at a level…”

Section: The "Binding" Solutionmentioning

confidence: 97%

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Combining rights and welfarism: a new approach to intertemporal evaluation of social alternatives

Long

Martinet

2017

Soc Choice Welf

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Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. We propose a new criterion which reflects both the concern for welfare (utility) and the concern for rights in the evaluation of economic development paths. The concern for rights is captured by a pre-ordering over combinations of thresholds (floors or ceilings on various quantitative indicators) that serve as constraints on actions and on levels of state variables. These thresholds are interpreted as minimal rights to be guaranteed to all generations. They are endogenously chosen within the set of all feasible thresholds, accounting for the "cost in terms of welfare" of achieving these rights. We apply the criterion to several examples, including the standard Dasgupta-Heal-Solow model of resource extraction and capital accumulation. We show that if the weight given to rights in the criterion is sufficiently high, the optimal solution may be on the threshold possibility frontier. The development path is then "driven" by the rights. In particular, if a minimal consumption is considered as a right, constant consumption can be optimal even with a positive utility discount rate. The shadow prices of thresholds play an important role in the determination of the rate of discount to be applied to social investment projects. Terms of use: Documents inJEL-Code: D630, H430, Q010.

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Section: The "Binding" Solutionmentioning

confidence: 97%

“…The set of achievable minimal consumption and preserved resource stock (µ c , µ S ) is characterized by the following relationship (see [19,20]):…”

Section: S(t) = −R(t)mentioning

confidence: 99%

Combining rights and welfarism: a new approach to intertemporal evaluation of social alternatives

Long

Martinet

2017

Soc Choice Welf

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“…Applied to the management of renewable resources, the viability constraints are generally defined to allow good levels of production in the long term while ensuring the preservation of the resource (see e.g. Tichit et al, 2004;Martinet and Doyen, 2007;Sabatier et al, 2012). The viability kernel is the set of initial states (a subset of the domain of constraints) for which there exists at least a sequence of controls maintaining the trajectory in the domain of constraints.…”

Section: Adaptability and Robustness In Rangelandsmentioning

confidence: 99%

Robustness and management adaptability in tropical rangelands: a viability-based assessment under the non-equilibrium paradigm

Accatino

Sabatier

Michele

et al. 2014

Animal

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Rangelands provide the main forage resource for livestock in many parts of the world, but maintaining long-term productivity and providing sufficient income for the rancher remains a challenge. One key issue is to maintain the rangeland in conditions where the rancher has the greatest possibility to adapt his/her management choices to a highly fluctuating and uncertain environment. In this study, we address management robustness and adaptability, which increase the resilience of a rangeland. After reviewing how the concept of resilience evolved in parallel to modelling views on rangelands, we present a dynamic model of rangelands to which we applied the mathematical framework of viability theory to quantify the management adaptability of the system in a stochastic environment. This quantification is based on an index that combines the robustness of the system to rainfall variability and the ability of the rancher to adjust his/her management through time. We evaluated the adaptability for four possible scenarios combining two rainfall regimes (high or low) with two herding strategies (grazers only or mixed herd). Results show that pure grazing is viable only for high-rainfall regimes, and that the use of mixed-feeder herds increases the adaptability of the management. The management is the most adaptive with mixed herds and in rangelands composed of an intermediate density of trees and grasses. In such situations, grass provides high quantities of biomass and woody plants ensure robustness to droughts. Beyond the implications for management, our results illustrate the relevance of viability theory for addressing the issue of robustness and adaptability in non-equilibrium environments.

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“…En ce qui concerne le risque et l'incertitude liés à l'innovation, Ridier et al (2013) montrent que la variabilité des rendements et le facteur temps de travail peuvent être des barrières à l'adoption des pratiques agrienvironnementales, de même les travaux de Chambers et al (1989) ; Uphoff (1998), Olsson et Folke (2001) (Aubin, 1991). Cette théorie ne s'attache RECHERCHES pas à l'utilisation optimale des ressources, mais considère l'ensemble des utilisations viables de la ressource, la viabilité étant déinie par le respect d'objectifs écono-miques, écologiques et sociaux (Martinet, 2010 ;Martinet et Doyen 2007). Griffon (2007) L'AEI interpelle par la juxtaposition des termes « écologie » et « intensif ».…”

Section: Intérêt Et Principes De L'aeiunclassified

Ecologically intensive agriculture: An economic approach

Ghali¹,

Daniel²,

Colson³

et al. 2014

economierurale

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Sustainability of an economy with an exhaustible resource: A viable control approach

Cited by 99 publications

References 16 publications

Combining rights and welfarism: a new approach to intertemporal evaluation of social alternatives

Combining rights and welfarism: a new approach to intertemporal evaluation of social alternatives

Robustness and management adaptability in tropical rangelands: a viability-based assessment under the non-equilibrium paradigm

Ecologically intensive agriculture: An economic approach

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