Wednesday 7
Which Mathematical Formalizations of Resilience and What For?
Guillaume Deffuant, Jean Denis Mathias
› 14:30 - 15:30 (1h)
› Antigone 1
Which Mathematical Formalizations of Resilience and What For?
Guillaume Deffuant  1, *@  , Jean-Denis Mathias  2@  , Rachata Muneepeerakul  3@  , Steven Lade  4@  , Jeroen Groot  5@  , Charles Rougé, Luc Doyen  6@  , Bruno Bonté  7@  
1 : Laboratoire d'ingénierie pour les systèmes complexes  (UR LISC)  -  Website
9 avenue Blaise Pascal - CS 20085, 63178 Aubière -  France
2 : Laboratoire d'ingénierie pour les systèmes complexes  (UR LISC)
24 avenue des Landais - BP 20085, F-63172 Aubières -  France
3 : Arizona State University  (ASU)
4 : Stockholm Resilience Center
5 : Wageningen University, Farming Systems Ecology Group  (WU-FSE)
P.O. Box 563, 6700 AN Wageningen, The Netherlands -  Pays-Bas
6 : Université de Bordeaux, Gretha
Unirsité de Bordeaux
7 : Gestion de l'Eau, Acteurs et Usages  (UMR G-EAU)  -  Website
Irstea, Institut de recherche pour le développement [IRD], Centre de coopération internationale en recherche agronomique pour le développement [CIRAD] : UMR90, AgroParisTech, Centre International des Hautes Études Agronomiques Méditerranéennes-Institut Agronomique Méditerranéen de Montpellier [CIHEAM-IAMM]
361 rue J.F. Breton - BP 5095 34196 Montpellier Cedex 5 -  France
* : Corresponding author


This session focuses on different trends of research on mathematical formalizations of resilience and on their practical use. In particular, the mathematics of resilience often relates resilience with the attractors of the system's dynamics and proposes different means for qualifying the tendency of the system to return to a desired attractor after a perturbation. This approach is hence based on a study of the system's attractors and attractor basins, with the tipping points corresponding to the boundaries between attractor basins. Recently, Viability Theory has been proposed as a conceptual and practical tool for formalizing resilience. The proponents of this approach claim that it generalizes the attractor based ones and that it can include more explicitly the search for efficient action policies and express rigorously the adaptability of a system.


Session type: Traditionnal (15 min presentations followed 5 min discussions).


First part (1 hour):


  • Shifts that divide populations
    Rachata Muneepeerakul , Murad Qubbaj, Rimjhim Aggarwal , John, Marco Janssen


  • Adaptation and transformation from a complex systems perspective
    Steven Lade


  • Quantification of vulnerability and resilience of agro-ecosystems by exploratory systems modeling
    Jeroen Groot , José Cortez-Arriola , Walter Rossing , Johannes Scholberg , Ricardo Améndola Massiotti , Pablo Tittonell



Second part (1 hour):


  • Resilience and Vulnerability in the Framework of Viability: an illustration with ball-and-cup diagrams
    Charles Rougé, Jean-Denis Mathias , Guillaume Deffuant


  • Eco-Viability modelling for the resilience of socio-ecosystems
    Luc Doyen


  • Applying viability theory for improving forest management in global change context
    Bruno Bonté, Thomas Cordonnier, Jean-Denis Mathias.

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