Comparing the sustainability of different action policy possibilities: Application to the issue of both household survival and forest preservation in the corridor of Fianarantsoa

Mathematical Biosciences

Volumn 245, Issue 2, 2013, Pages 322-330

  Bernard, C ^a,b   Martin, S ^a  

^a Cemagref   (France)

^b UNIVERSITÉ CLERMONT AUVERGNE   (France)

Author keywords

Controlled dynamical systems; Deforestation; Sustainable development; Viability theory

Indexed keywords

ACTION POLICIES; CONTROL VARIABLE; CURRENT SITUATION; FOREST PRESERVATION; LOCAL POPULATIONS; MODEL OF SYSTEMS; SUSTAINABILITY ISSUES; VIABILITY THEORY;

DEFORESTATION; DYNAMICAL SYSTEMS; MATHEMATICAL MODELS; RAIN;

SUSTAINABLE DEVELOPMENT;

COMPARATIVE STUDY; DEFORESTATION; NUMERICAL MODEL; POLICY APPROACH; RAINFOREST; SUSTAINABILITY; SUSTAINABLE DEVELOPMENT; THEORETICAL STUDY; VIABILITY;

ARTICLE; COMPARATIVE STUDY; CONTROLLED STUDY; DYNAMICS; ENVIRONMENTAL PROTECTION; ENVIRONMENTAL SUSTAINABILITY; FINANCIAL MANAGEMENT; FOREST MANAGEMENT; HOUSEHOLD; MADAGASCAR; MATHEMATICAL MODEL; RAIN FOREST; SURVIVAL;

COMPUTATION; DEFORESTATION; MADAGASCAR; MATHEMATICAL MODELS; RAIN; SUSTAINABLE FOREST MANAGEMENT;

FIANARANTSOA; MADAGASCAR;

CONTROLLED DYNAMICAL SYSTEMS; DEFORESTATION; SUSTAINABLE DEVELOPMENT; VIABILITY THEORY;

COMPUTATIONAL BIOLOGY; CONSERVATION OF NATURAL RESOURCES; ECOSYSTEM; FAMILY CHARACTERISTICS; HUMANS; MADAGASCAR; MATHEMATICAL CONCEPTS; MODELS, THEORETICAL; PUBLIC POLICY; TREES;

EID: 84884142587     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2013.08.002     Document Type: Article

References (31)

1. World conservation strategy: living resource conservation for sustainable development, International Union for Conservation of Nature and Natural Resources (IUCN), United Nations Environment Programme (UNEP) and the World Wildlife Fund (WWF), 1980.
2. Collings J.B., Wollkind D.J. A global analysis of a temperature-dependent model system for a mite predator-prey interaction. SIAM J. Appl. Math. 1990, 50:1348.
3. Coller L.V. Automated techniques for the qualitative analysis of ecological models: continuous models. Conserv. Ecol. 1997, 1:5.
4. Ludwig D., Walker B., Holling C.S. Sustainability, stability, and resilience. Conserv. Ecol. 1997, 1:7.
5. Casagrandi R., Rinaldi S. A theoretical approach to tourism sustainability. Conserv. Ecol. 2002, 6:13.
6. Lacitignola D., Petrosillo I., Cataldi M., Zurlini G. Modelling socio-ecological tourism-based systems for sustainability. Ecol. Model. 2007, 206:191.
7. Heal G. Valuing the Future, Economic Theory and Sustainability 1998, Columbia University Press, NewYork.
8. Chichilnisky G. An axiomatic approach to sustainable development. Soc. Choice Welfare 1996, 13:231.
9. Solow R. Intergenerational equity and exhaustible resources. Rev. Econ. Stud. 1974, 41:29.
10. Cairns R., Van Long N. Maximin: a direct approach to sustainability. Environ. Dev. Econ. 2006, 11:275.
11. Ciriacy-Wantrup S. Resource Conservation: Economics and Policies 1952, University of California Press, Berkeley.
12. Petschel-Held G., Schellnhuber H.-J., Bruckner T., Toth F., Hasselmann K. The tolerable windows approach: theoretical and methodological foundations. Climatic Change 1999, 41:303.
13. Aubin J. Viability Theory 1991, Birkhäuser, Basel.
14. Béné C., Doyen L., Gabay D. A viability analysis for a bio-economic model. Ecol. Econ. 2001, 36:385.
15. Bruckner T., Petschel-Held G., Leimbach M., Toth F.L. Methodological aspects of the tolerable windows approach. Climatic Change 2003, 56:73.
16. Martin S. The cost of restoration as a way of defining resilience: a viability approach applied to a model of lake eutrophication. Ecol. Soc. 2004, 2:8.
17. Neubert M.C., Caswell H. Alternatives to resilience for measuring the responses of ecological systems to perturbations. Ecology 1997, 78:653.
18. Aubin J.-P., Bernado T., Saint-Pierre P. A viability approach to global climate change issues. Advances in Global Change Research 2005, vol. 22:113. Springer, Netherlands. A. Haurie, L. Viguier (Eds.).
19. Martinet V., Doyen L. Sustainability of an economy with an exhaustible resource: a viable control approach. Resour. Energy Econ. 2007, 29:17.
20. Fuentes R.E. Scientific research and sustainable development. Ecol. Appl. 1993, 3:576.
21. Martinet V., Thébaud O., Doyen L. Defining viable recovery paths toward sustainable fisheries. Ecol. Econ. 2007, 62:411.
22. De Lara M., Martinet V. Multi-criteria dynamic decision under uncertainty: a stochastic viability analysis and an application to sustainable fishery management. Math. Biosci. 2009, 217:118.
23. W. Wei, I. Alvarez, S. Martin, Sustainability analysis: viability concepts to consider transient and asymptotic dynamics in socio-ecological tourism-based systems, Ecol. Model 251 (2013) 103.
24. Bernard C., Martin S. Building strategies to ensure language coexistence in presence of bilingualism. Appl. Math. Comput. 2012, 218:8825.
25. Saint-Pierre P. Approximation of the viability kernel. Appl. Math. Opt. 1994, 29:187.
26. Quincampoix M. Differential inclusions and target problems. SIAM J. Control Optim. 1992, 30:324.
27. De Wilde M., Buisson E., Ratovoson F., Randrianaivo R., Carrière S., Lowry P. Vegetation dynamics in a corridor between protected areas after slash-and-burn cultivation in South-Eastern Madagascar. Agr. Ecosyst. Environ. 2012, 159:1.
28. Toillier A., Lardon S. From forest-clearers to environmental managers: farmers' adaptation capacities in the eastern rainforest of Madagascar. Outlook Agr. 2009, 38:119.
29. Toillier A., Serpantié G., Hervé D., Lardon S. Livelihood strategies and land use changes in response to conservation: an insight into pitfalls of community-based forest management in Madagascar. J. Sustain. Forest. 2011, 30:20.
30. Muttenzer F. The folk conceptualization of property and forest-related going concerns in Madagascar. Changing Properties of Property 2006, 269. Berghahn Publishers, New York. K.V. Benda-Beckmann, F.V. Benda-Beckmann, M. Wiber (Eds.).
31. Aubin J. Dynamic Economic Theory 1997, Springer-Verlag, Berlin.