Invasive plants as drivers of regime shifts: Identifying high priority invaders that alter feedback relationships Mirijam Gaertner, Reinette Biggs, Mariska Te Beest, Cang Hui, Jane Molofsky & David M. Richardson Appendix S1: Theoretical background on regime shifts From a systems perspective, ecological regime shifts entail a switch within an ecosystem from one domain of attraction to another due to a change in the ecological feedback processes that structure the system (Biggs et al. 2012). All ecosystems have multiple reinforcing (positive) and balancing (negative) feedback processes. Balancing feedbacks tend to counteract changes in the system i.e. enhance ecosystem stability, whereas reinforcing feedbacks amplify changes i.e. destabilise ecosystems (e.g. Ehrenfeld et al. 2005). The interaction and balance between all the different feedbacks in a system, and in particular which feedbacks dominate, will determine whether the net outcome is one of system stability or instability. For a particular set of external conditions, there are typically one or more different configurations of feedbacks in which the system can stabilize over time. These different possible configurations of dominant feedbacks define the alternate regimes in which the system can exist, sometimes under the same set of external conditions. Regime shifts occur when there is a shift between these alternate configurations of dominant ecosystem feedbacks, either due to a change in the balance between existing feedbacks in the system or the introduction of new feedbacks to the system (Bennett et al. 2005). For a regime shift to occur there has to be at least one reinforcing feedback present in the system that can assume sufficient dominance in the system for a period of time to drive a shift to an alternate regime or feedback configuration. Regime shifts typically result from a combination of gradual changes in exogenous drivers and an external shock (disturbance). Gradual changes in drivers (e.g. altered nutrient cycling) may slowly weaken the dominant feedbacks that maintain the system within a particular regime. Once the system is close to a critical threshold, a shift to a different set of dominant feedbacks can be precipitated by even a small shock to the system. Weakening of the dominant feedbacks (and hence a loss of ecosystem resilience) typically leads to little or no obvious system changes until a critical threshold is reached where one or more reinforcing feedbacks become dominant and drive the system towards an alternate configuration or domain of attraction – i.e., a regime shift occurs. Loss of ecosystem resilience therefore often goes unnoticed until a regime shift occurs. Because different sets of dominant feedbacks are associated with different regimes and since these feedbacks are often self-reinforcing, regime shifts are often hysteretic or “sticky”: once the system is in a particular regime, it tends to remain there even if the exogenous drivers that caused the shift are reduced or removed. The critical threshold for a shift from Regime 1 to 2 therefore differs from the critical threshold for a return shift from Regime 2 to 1, making many regime shifts very difficult or even impossible to reverse. Restoration work aimed at reversing a regime shift therefore often involves breaking unwanted feedbacks that have become dominant and/or rebuilding or strengthening other feedbacks that promote organization of the system around a different attractor (Suding & Hobbs 2009). The degree of hysteresis in a system depends on the strength of the dominant system feedbacks, which is usually a function of multiple factors (e. g. plant types, sediment type). References Bennett, E.M., Cumming, G.S. & Peterson, G.D. (2005). A systems model approach to determining resilience surrogates for case studies. Ecosystems, 8, 945–957. Biggs, R., Blenckner, T., Folke, C., Gordon, L. J., Norström, A., Nyström, M. & Peterson, G. D. (2012). Regime shifts. In: Encyclopedia of theoretical ecology (ed by A. Hastings and L. Gross). University of California Press, Berkeley, pp. 609-617. Ehrenfeld, J.G., Ravit, B. & Elgersma, K. (2005). Feedback in the plant-soil system. Annual Review of Environmental Research, 30, 75–115. Suding, K.N. & Hobbs, R.J. 2009. Threshold models in restoration and conservation: A developing framework. Trends in Ecology & Evolution, 24, 271-279.