A PDE-like Toy-Model of Territory Working

TL;DR

This paper proposes a PDE-like toy model of territory working to simulate and analyze territorial dynamics, aiming to develop a software tool for scenario exploration and policy impact assessment.

Contribution

It demonstrates the feasibility of coupling systemic approaches with PDE tools to model complex territorial systems.

Findings

Model shows potential for simulating multi-scale territorial dynamics

Coupling systemic approach with PDE is feasible

Lays groundwork for future software development

Abstract

This note introduces a PDE-like Toy-Model that embeds several aspects of Territory Working. The long term goal is to build a software tool that behaves like a Territory, and in particular that incorporates its multi-scale-in-time-and-space nature, in order to make simulations, to explore scenarios, to foresee policy impacts, to help to make a decision when facing a change in the environment or in cultural behavior, {\it etc.}. The aim of this note is prove that the concept of building a model that couple Systemic Approach and PDE tools to achieve the evoked long term goal is possible.