Predicting Catastrophic shifts


  Haim Weissmann  ,  Nadav M. Shnerb  
Bar Ilan University

Catastrophic shift are known to pose a serious threat to ecology, and a reliable set of early warning indicators is desperately needed. However, the tools suggested so far are quite ineffective for two reasons. First, they cannot discriminate between a smooth transition and an imminent irreversible shift. Second, they aimed at predicting the tipping point where a state loses its stability, but in noisy spatial system the actual transition occurs when an alternative state invades. Ice invades water at 0C, and the tipping point where water become unstable occurs only at -48.3C; a warning system against water freezing at the tipping point is quite useless.   

Here we suggest a cluster tracking technique that solves both problems, allowing to distinguish between smooth and catastrophic transitions and to identify an imminent shift in both cases. Our method may allow for the prediction, and thus hopefully the prevention of such transitions, avoiding their destructive outcomes.