University of California, Santa Barbara (UCSB)
Bren School of Environmental Science and Management
Intensive course
Sustainable Management of Natural Resources:
A Viability Perspective
Michel DE LARA (ENPC, France)
Vincent MARTINET (INRA, France)
Date: 2011 November 14-18
Email. delara[]cermics.enpc.fr ,
vincent.martinet[]grignon.inra.fr
Key Words.
Natural resources management, Economics, Ecology, Sustainability, Viability, Multicriteria approach, Modeling, Simulation, Uncertainty.
Language.
English.
Location.
Bren School of Environmental Science and Management
Website.
http://cermics.enpc.fr/~delara/ENSEIGNEMENT/UCSB2011/UCSB2011.html
Evaluation.
Presence and participation.
Computer practical works notation.
Short description.
This course introduces the viability approach, a dynamic and multicriteria framework to deal with sustainability issues. This approach allows researchers of different disciplines (e.g., economics, biology, sociology) to develop a common dynamic model to describe the system under study, and define the sustainability objectives with constraints that have to be satisfied at all times (e.g., economic, ecological and social constraints). This provides powerful tools for sustainable decision-making. During the whole course, the viability approach will be compared to usual economic and ecological approaches.
This approach will be applied to natural resources management (nonrenewable and renewable resources). Deterministic and uncertainty cases will be studied. Both theoretical and practical methods will be presented. Practical exercises in computer lab will allow the student to apply what has been learnt to real world case studies (fisheries management, epidemics control).
Skills acquired.
Knowing and using concepts, models, mathematical and numerical methods of viability theory
allowing to formalize and to treat issues concerning sustainability and
precaution in the management of natural resources and of the
environment, more specifically:
- mathematical concepts: state control dynamical models in
discrete time, equilibrium and stability, viability and invariance,
intertemporal optimality, stochastic and robust control,
- methods: linearization, maximum principle, dynamic
programming,
- simulation tools: algorithms, Scilab programming.
We focus on examples related to the exploitation of renewable or
exhaustible resources and to greenhouse gases mitigation.
We propose a common framework of sequential decision allowing to take
into account uncertainties, ecological and economic requirements,
intergenerational equity.
Teaching courses and practical work with software Scilab
alternate to make intuitive the more
abstract and formal parts of the course.
2011 Monday November 14, 4:30-7pm. Classroom BH 1510.
slides
Introduction to the economics of sustainability, Sustainability criteria, Conservation issues, Consequences for natural resources management.
Introduction to the theory of viability: principle, interpretation in the context of sustainability theory, application to nonrenewable resources economics (the climate change issue), application to renewable resources economics (the fishery).
(Heal, 1998)
(Martinet, 2007)
(Martinet and Doyen, 2007)
(Martinet, 2011)
(Martinet, 2012)
(Neumayer, 2010)
2011 Tuesday November 15, 5-7:30pm. Classroom BH 1510.
Viability : examples, theory and methods.
slides
Examples of natural resource management models and of
environmental economics models: exhaustible resource, forest management,
fishing management, CO emissions mitigation, etc.
Introduction to state control dynamical models in discrete time.
Constraints, strategies.
(Béné, Doyen, and
Gabay, 2001; Rapaport, Terreaux, and
Doyen, 2006; Béné and Doyen, 2003; Martinet, Thébaud, and
Rapaport, 2010; Béné and Doyen, 2000; Martinet, Doyen, and
Thébaud, 2007; Martinet and Doyen, 2007)
(De Lara, 2008)
2011 Wednesday November 16, 6-8:30pm. Computer laboratory BH 3035.
Computer laboratory: practical work with software Scilab.
Introduction to Scilab.
Viable harvesting of a renewable resource.
2011 Friday November 18, 9-11:30am. Classroom BH 1510.
Control dynamical systems with uncertainty.
slides
Introduction to stochastic viability.
Comparison with expected discounted utility.
slides
Illustration with the case of fisheries management.
slides
(Doyen and De Lara, 2010; Doyen, De Lara, Ferraris, and
Pelletier, 2007; De Lara, 2009)
2011 Friday November 18, 1-3:30pm. Computer laboratory BH 3035.
Computer laboratory: practical work with software Scilab.
Sustainable management of fish stock
based on spawning stock biomass indicator.
(D, 2007a,b)
-
C. Béné and L. Doyen.
- Storage and viability of a fishery with resource and market dephased
seasonnalities.
Environmental Resource Economics, 15: 1-26, 2000.
-
C. Béné and L. Doyen.
- Sustainability of fisheries through marine reserves: a robust
modeling analysis.
Journal of Environmental Management, 69 (1):
1-13, 2003.
-
C. Béné, L. Doyen, and D. Gabay.
- A viability analysis for a bio-economic model.
Ecological Economics, 36: 385-396, 2001.
-
M. De Lara and L. Doyen.
- Sustainable Management of Natural Resources. Mathematical
Models and Methods.
Springer-Verlag, Berlin, 2008.
-
M. De Lara and V. Martinet.
- Multi-criteria dynamic decision under uncertainty: A stochastic
viability analysis and an application to sustainable fishery management.
Mathematical Biosciences, 217 (2): 118-124,
February 2009.
-
M. De Lara, L. Doyen, T. Guilbaud, and M.-J. Rochet.
- Is a management framework based on spawning-stock biomass indicators
sustainable? A viability approach.
ICES J. Mar. Sci., 64 (4): 761-767,
2007a.
-
M. De Lara, L. Doyen, T. Guilbaud, and M.-J. Rochet.
- Monotonicity properties for the viable control of discrete time
systems.
Systems and Control Letters, 56 (4):
296-302, 2007b.
-
L. Doyen and M. De Lara.
- Stochastic viability and dynamic programming.
Systems and Control Letters, 59 (10):
629-634, October 2010.
-
L. Doyen, M. De Lara, J. Ferraris, and D. Pelletier.
- Sustainability of exploited marine ecosystems through protected
areas: a viability model and a coral reef case study.
Ecological Modelling, 208 (2-4): 353-366,
November 2007.
-
G. Heal.
- Valuing the Future : Economic Theory and Sustainability.
Columbia University Press, New York, 1998.
-
V. Martinet.
- A step beside the maximin path: Can we sustain the economy by following Hartwick's investment rule?
Ecological Economics, 64 (1): 103-108, 2007.
Access to the paper.
-
V. Martinet.
- A characterization of sustainability with indicators.
Journal of Environmental Economics and Management, 61(2): 183-197, 2011.
Access to the paper.
-
V. Martinet.
- Economic Theory and Sustainable Development: What can we preserve for future generations
Routledge, 2012. Hardback: 978-0-415-54477-1
Publisher's website.
-
V. Martinet and F. Blanchard.
- Fishery externalities and biodiversity: Trade-offs between the viability of shrimp trawling and the conservation of Frigatebirds in French Guiana.
Ecological Economics, 68 (12):
2960-2968, 2009.
Access to the paper.
-
V. Martinet and L. Doyen.
- Sustainable management of an exhaustible resource: a viable control
approach.
Resource and Energy Economics, 29 (1):
19-37, 2007.
Access to the paper.
-
V. Martinet, O. Thébaud, and L. Doyen.
- Defining viable recovery paths toward sustainable fisheries.
Ecological Economics, 64 (2): 411-422,
2007.
Access to the paper.
-
V. Martinet, O. Thébaud, and A. Rapaport.
- Hare or Tortoise? Trade-offs in recovering sustainable
bioeconomic systems.
Environmental Modeling and Assessment, 15 (6): 503-517, 2010.
Access to the paper.
-
E. Neumayer.
- Weak versus Strong Sustainability: Exploring the Limits of Two
Opposing Paradigms.
(Third edition). Edward Elgar, 2010.
-
A. Rapaport, J.-P. Terreaux, and L. Doyen.
- Sustainable management of renewable resource: a viability approach.
Mathematics and Computer Modeling, 43 (5-6):
466-484, March 2006.