Multi-criteria dynamic decision under uncertainty: A stochastic viability analysis and an application to sustainable fishery management

Lara, Michel De; Martinet, Vincent

doi:10.1016/j.mbs.2008.11.003

Cited by 46 publications

(39 citation statements)

References 13 publications

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“…They proved that this model exhibits two bifurcation phenomena at the intersampling instants. Lara and Martinet (2009) considered a discretetime control dynamical model with uncertainties, representing a bioeconomic system, proposed through stochastic viability approach to manage natural resources in a sustainable way due to uncertainties, dynamics and conflicting objectives (ecological, social, and economical). An efficient algorithm for individual-based, stochastic simulation of biological populations in continuous time presented by Allen and Dytham (2009).…”

Section: Introductionmentioning

confidence: 99%

Bioeconomic modelling of a prey predator system using differential algebraic equations

Kar¹,

Chakraborty²

2010

Int. J. Eng. Sci. Tech

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We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response. The dynamic behavior of the proposed biological economic preypredator model is discussed. Continuous type gestational delay of predators is incorporated and its effect on the dynamical behavior of the model system is analyzed. Through considering delay as a bifurcation parameter, the occurrence of Hopf bifurcation of the proposed model system with positive economic profit is shown in the neighborhood of the co-existing equilibrium point. Finally, some numerical simulations are given to verify the analytical results and the system is analyzed through graphical illustrations.

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Section: Introductionmentioning

confidence: 99%

Bioeconomic modelling of a prey predator system using differential algebraic equations

Kar¹,

Chakraborty²

2010

Int. J. Eng. Sci. Tech

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“…Setting bounds on the latter could be considered a sort of "ecological" constraint, similar in spirit to the ones considered in the stochastic viability literature (e.g. [11,19,20]). Such an operation would increase the problem's dimensionality considerably, but it can be addressed, so long as the total number of distributions across indicators is not excessive.…”

Section: Q2: If Carbon Budget B Is Chosen What Proportion Of Distribmentioning

confidence: 99%

“…De Lara and Martinet [11] proposed a stochastic, dynamic-satisficing (referred to also as "stochastic viability") framework for resource management and computed optimal control rules under an extensive set of monotonicity assumptions on dynamics and constraints. Beyond its adoption of a satisficing as opposed to optimizing framework, a distinctive feature of their model is its focus on multiple criteria of economic and environmental performance.…”

Section: Introductionmentioning

confidence: 99%

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A Simple Framework for Climate-Change Policy Under Model Uncertainty

2017

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We propose a novel framework for the economic assessment of climatechange policy. Our main point of departure from existing work is the adoption of a "satisficing", as opposed to optimizing, modeling approach. Along these lines, we place primary emphasis on the extent to which different policies meet a set of goals at a specific future date instead of their performance vis-a-vis some intertemporal objective function. Consistent to the nature of climatechange policy making, our model takes explicit account of model uncertainty.To this end, the value function we propose is an analogue of the well-known success-probability criterion adapted to settings characterized by model uncertainty. We apply this decision criterion to probability distributions constructed by Drouet et al. (2015) linking carbon budgets to future consumption. The main result that emerges is the superiority of "medium" carbon budgets in line with a 3 • C target (i.e., 2000-3000 GtCO 2 ) in preventing large future consumption losses with high probability. Insights from computational geometry facilitate computations considerably, and allow for the efficient application of the model in high-dimensional settings.

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“…The main purpose of viability theory is to find a "viability domain", a subset of initial states such that there exists at least one evolution "viable" in the state constraint set, in the sense that at each time, the state of the evolution can be maintained inside it. Viability theory has been successfully used to model socio-ecological problem and study their governance, as in Béné et al (2001), Bernard and Martin (2013) or Lara and Martinet (2009) (see Aubin et al (2011) for others references). We propose here to formulate the conflicting viewpoints of urban citizen about pigeon population in the mathematical viability framework.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of an urban pigeon population subject to local management strategies

Haidar

Alvarez

Prévot

2017

Mathematical Biosciences

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This paper addresses the issue of managing urban pigeon population using some possible actions that makes it reach a density target with respect to socio-ecological constraints. A mathematical model describing the dynamic of this population is introduced. This model incorporates the effect of some regulatory actions on the dynamic of this population. We then used mathematical viability theory, which provides a framework to study compatibility between dynamics and state constraints. The viability study shows when and how it is possible to regulate the pigeon population with respect to the constraints.

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Multi-criteria dynamic decision under uncertainty: A stochastic viability analysis and an application to sustainable fishery management

Cited by 46 publications

References 13 publications

Bioeconomic modelling of a prey predator system using differential algebraic equations

Bioeconomic modelling of a prey predator system using differential algebraic equations

A Simple Framework for Climate-Change Policy Under Model Uncertainty

Mathematical modeling of an urban pigeon population subject to local management strategies

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