Approximating viability kernels and resilience values: algorithms and pratical issues illustrated with Kaviar software

In Chap.2, we presented the definition of resilience based on viability theory (Martin 2004), and we argued that this definition is more general than the equilibrium based definition, and fits better the usual meaning of resilience. Several chapters illustrate this approach on individual based models (language dynamics, bacteria, savanna). In each of these case studies, a preliminary work is to approximate the individual based model with more of a synthetic model, because the tools for computing viability kernels cannot deal with dynamical systems with a state space of high dimension