RESEARCH ARTICLE Resilience of Alternative States in Spatially Extended Ecosystems Ingrid A. van de Leemput*, Egbert H. van Nes, Marten Scheffer Department of Environmental Sciences, Wageningen University, Wageningen, The Netherlands *
[email protected] Abstract Alternative stable states in ecology have been well studied in isolated, well-mixed systems. However, in reality, most ecosystems exist on spatially extended landscapes. Applying ex- isting theory from dynamic systems, we explore how such a spatial setting should be ex- pected to affect ecological resilience. We focus on the effect of local disturbances, defining resilience as the size of the area of a strong local disturbance needed to trigger a shift. We show that in contrast to well-mixed systems, resilience in a homogeneous spatial setting does not decrease gradually as a bifurcation point is approached. Instead, as an environ- OPEN ACCESS mental driver changes, the present dominant state remains virtually ‘indestructible’, until at Citation: van de Leemput IA, van Nes EH, Scheffer a critical point (the Maxwell point) its resilience drops sharply in the sense that even a very M (2015) Resilience of Alternative States in Spatially Extended Ecosystems. PLoS ONE 10(2): e0116859. local disturbance can cause a domino effect leading eventually to a landscape-wide shift to doi:10.1371/journal.pone.0116859 the alternative state. Close to this Maxwell point the travelling wave moves very slow. Under Academic Editor: Emanuele Paci, University of these conditions both states have a comparable resilience, allowing long transient co-occur- Leeds, UNITED KINGDOM rence of alternative states side-by-side, and also permanent co-existence if there are mild Received: April 11, 2014 spatial barriers.