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Sustainability analysis: Viability concepts to consider transient and asymptotical dynamics in socio-ecological tourism-based systems

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  • Wei, W.
  • Alvarez, I.
  • Martin, S.

Abstract

With the increasing pressure on natural resources, the sustainability study of socio-ecological systems has become a crucial scientific issue. In this paper we emphasize that transient behaviors have to be taken into account in sustainability analysis. We illustrate their impact with a model of tourism development from the literature, where the sustainability study is based on asymptotic properties. In order to evaluate relevant space and time characteristics of transient dynamics, we propose to use the concepts and tools of the mathematical viability theory. We also extend this analysis to controlled dynamical systems, which are particularly appropriate to model socio-ecological systems when management issues are at stake.

Suggested Citation

  • Wei, W. & Alvarez, I. & Martin, S., 2013. "Sustainability analysis: Viability concepts to consider transient and asymptotical dynamics in socio-ecological tourism-based systems," Ecological Modelling, Elsevier, vol. 251(C), pages 103-113.
    • Handle: RePEc:eee:ecomod:v:251:y:2013:i:c:p:103-113
    DOI: 10.1016/j.ecolmodel.2012.10.009
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    Cited by:

    1. Chenyu Lu & Wenlei Li & Min Pang & Bing Xue & Hong Miao, 2018. "Quantifying the Economy-Environment Interactions in Tourism: Case of Gansu Province, China," Sustainability, MDPI, vol. 10(3), pages 1-21, March.
    2. Kaslik, Eva & Neamţu, Mihaela, 2020. "Dynamics of a tourism sustainability model with distributed delay," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    3. Alvarez, Isabelle & Zaleski, Laetitia & Briot, Jean-Pierre & de A. Irving, Marta, 2023. "Collective management of environmental commons with multiple usages: A guaranteed viability approach," Ecological Modelling, Elsevier, vol. 475(C).
    4. Banos-González, Isabel & Martínez-Fernández, Julia & Esteve-Selma, Miguel Ángel, 2015. "Dynamic integration of sustainability indicators in insular socio-ecological systems," Ecological Modelling, Elsevier, vol. 306(C), pages 130-144.

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