Extending the viability theory framework of resilience to uncertain dynamics, and application to lake eutrophication

Ecological Indicators

Volumn 29, Issue , 2013, Pages 420-433

  Rougé, Charles ^a   Mathias, Jean Denis ^a   Deffuant, Guillaume ^a  

^a Cemagref   (France)

Author keywords

Dynamic programming; Probability of resilience; Resilience; Stochastic dynamics; Viability theory

Indexed keywords

ECOLOGICAL SYSTEMS; ENVIRONMENTAL SYSTEMS; HIGH PROBABILITY; LAKE EUTROPHICATIONS; MANAGEMENT STRATEGIES; RESILIENCE; STATE SPACE; STOCHASTIC DYNAMICAL SYSTEM; STOCHASTIC DYNAMICS; TIME HORIZONS; UNCERTAIN DYNAMICS; VIABILITY THEORY;

DYNAMIC PROGRAMMING; DYNAMICS; LAKES; PROBABILITY; STOCHASTIC SYSTEMS;

EUTROPHICATION;

ECOSYSTEM MANAGEMENT; ECOSYSTEM RESILIENCE; ENVIRONMENTAL RESTORATION; EUTROPHICATION; MANAGEMENT PRACTICE; STOCHASTICITY; THEORETICAL STUDY; VIABILITY;

EID: 84873915005     PISSN: 1470160X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolind.2012.12.032     Document Type: Article

References (31)

1. W.N. Adger Social and ecological resilience: are they related? Prog. Hum. Geogr. 24 2000 347 364 (Pubitemid 30648203)
2. W.N. Adger, T.P. Hugues, C. Folke, S.R. Carpenter, and J. Rockström Social-ecological resilience to coastal disasters Science 309 2005 1036 1039 (Pubitemid 41134454)
3. C.R. Allen, J.J. Fontaine, K.L. Pope, and A.S. Garmestani Adaptive management for a turbulent future J. Environ. Manage. 92 2011 1339 1345
4. J.M. Anderies, M.A. Janssen, and B.H. Walker Grazing management, resilience, and the dynamics of a fire-driven rangeland system Ecosystems 5 2002 23 44 (Pubitemid 36000003)
5. F.S. Brand, and K. Jax Focusing on the meaning(s) of resilience: resilience as a descriptive concept and a boundary object Ecol. Soc. 2007 12
6. S. Carpenter, B. Walker, J.M. Anderies, and N. Abel From metaphor to measurement: resilience of what to what? Ecosystems 4 2001 765 781 (Pubitemid 34067894)
7. S.R. Carpenter, D. Ludwig, and W.A. Brock Management of eutrophication for lakes subject to potentially irreversible change Ecol. Appl. 9 1999 751 771 (Pubitemid 29388387)
8. M. De Lara, and L. Doyen Sustainable Management of Natural Resources 2008 Springer-Verlag Berlin
9. M. De Lara, and V. Martinet Multi-criteria dynamic decision under uncertainty: a stochastic viability analyis and an application to sustainable fishery management Math. Biosci. 217 2009 118 124
10. G. Deffuant, L. Chapel, and S. Martin Approximating viability kernel with support vector machines IEEE Trans. Autom. Control 52 2007 933 937 (Pubitemid 46796083)
11. G. Deffuant, and N. Gilbert Viability and Resilience of Complex Systems 2011 Kluwer Academic Publishers London
12. L. Doyen, and C. Béné Sustainability of fisheries through marine reserves: a robust modeling analysis J. Environ. Manage. 69 2003 1 13 (Pubitemid 37069684)
13. L. Doyen, and M. De Lara Stochastic viability and dynamic programming Syst. Control Lett. 59 2010 629 634
14. L. Doyen, O. Thébaud, C. Béné, V. Martinet, S. Gourguet, M. Bertignac, S. Fifas, and F. Blanchard A stochastic viability approach to ecosystem-based fisheries management Ecol. Econ. 75 2012 32 42
15. Folke, C., Carpenter, S., Elmqvist, T., Gunderson, L., Holling, C.S., Walker, B., Bengtsson, J., Berkes, F., Colding, J., Danell, K., Falkenmark, M., Gordon, L., Kasperson, R., Kautsky, N., Kinzig, A., Levin, S., Mäler, K.G., F. Moberg, Ohlsson, L., Olsson, P., Ostrom, E., Reid, W., Rockström, J., Savenije, H., Svedin, U., 2002. Resilience and sustainable development: building adaptive capacity in a World of Transformations. Scientific background paper on Resilience for the process of The World Summit on Sustainable Development on behalf of The Environmental Advisory Council to the Swedish Government. Technical report.
16. C.S. Folke, S. Carpenter, B. Walker, M. Scheffer, T. Elmqvist, L. Gunderson, and C.S. Holling Regime shifts, resilience, and biodiversity in ecosystem management Ann. Rev. Ecol. Evol. Syst. 35 2004 557 581 (Pubitemid 40059731)
17. V. Grimm, and C. Wissel Babel, or the ecological stability discussions: an inventory and analysis of terminology and a guide for avoiding confusion Oecologia 109 1997 323 334
18. L.H. Gunderson Ecological resilience-in theory and application Ann. Rev. Ecol. Syst. 31 2000 425 439
19. V. Guttal, and C. Jayaprakash Impact of noise on bistable ecological systems Ecol. Model. 201 2007 420 428 (Pubitemid 46199029)
20. T. Hashimoto, J.R. Stedinger, and D.P. Loucks Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation Water Resour. Res. 18 1982 14 20 (Pubitemid 12276431)
21. C.S. Holling Resilience and stability of ecological systems Ann. Rev. Ecol. Evol. Syst. 4 1973 1 23
22. K.H. Johnson, K.A. Vogt, H.J. Clark, O.J. Schmitz, and D.J. Vogt Biodiversity and the productivity and stability of ecosystems Trends Ecol. Evol. 11 1996 372 377
23. M. Lesnoff, C. Corniaux, and P. Hiernaux Sensitivity analysis of the recovery dynamics of a cattle population following drought in the sahel region Ecol. Model. 232 2012 28 39
24. D. Ludwig, S. Carpenter, and W. Brock Optimal phosphorus loading for a potentially eutrophic lake Ecol. Appl. 13 2003 1135 1152 (Pubitemid 37546312)
25. C.W. MacGillivray, and J.P. Grime Testing predictions of the resistance and resilience of vegetation subjected to extreme events Funct. Ecol. 9 1995 640 649
26. S. Martin The cost of restoration as a way of defining resilience: a viability approach applied to a model of lake eutrophication Ecol. Soc. 2004 9
27. J.C. Péreau, L. Doyen, L.R. Little, and O. Thébaud The triple bottom line: meeting ecological, economic and social goals with individual transferable quotas J. Environmen. Econ. Manage. 63 2012 419 434
28. P. Saint-Pierre Approximation of the viability kernel Appl. Math. Opt. 29 1994 187 209
29. B. Walker, S. Carpenter, J. Anderies, N. Abel, G. Cumming, M. Janssen, L. Lebel, J. Norberg, G.D. Peterson, and R. Pritchard Resilience management in social-ecological systems: a working hypothesis for a participatory approach Conserv. Ecol. 6 2002 14
30. B. Walker, C.S. Holling, S.R. Carpenter, and A. Kinzig Resilience, adaptability and transformability in social-ecological systems Ecol. Soc. 9 2004 5
31. B.K. Williams Adaptive management of natural resources-framework and issues J. Environ. Manage. 92 2011 1346 1353