Une remarque sur la permanence des systèmes spatialisés

• Main Author: Alain Franc
• Format: Article
• Language: deu
• Published: Unité Mixte de Recherche 8504 Géographie-cités 1997-04-01
• Series: Cybergeo
• Subjects: dynamic system; spatial interaction; modeling/modelling; ecology
• Online Access: http://journals.openedition.org/cybergeo/5556

The concept of systems is clearly deeply rooted in ecological thinking. However, the importance of space in the interactions within a system is fairly new. In this manuscript, we recall the classical Lotka-Volterra model to model communities of interacting populations, and the historical result by May, linking stability and diversity in randomly connected Lotka-Volterra systems. The concept of permanence is introduced, as well as an interpretation of this result in a case which we hope closer to geographer’s concern, i.e. when the space plays a key role for commanding interactions. We show that restricting interactions between neighbours has a stabilising effect on thr global equilibrium.