Vegetation patterning in water-limited and other resource-limited ecosystems highlights
spatial self-organization processes as potentially key drivers of community assembly. These …

Period doubling is a universal bifurcation of central importance in all disciplines of nonlinear
science, which generally signals the existence of chaotic dynamics in the vicinity of the …

Theory and observation tell us that many complex systems exhibit tip** points—thresholds
involving an abrupt and irreversible transition to a contrasting dynamical regime. Such …

Abstract Early Warning Signals (EWS) have generated much excitement for their potential to
anticipate transitions in various systems, ranging from climate change in ecology to disease …

Climate change is one of the most important drivers of ecosystem change, the global‐scale
impacts of which will intensify over the next 2 decades. Estimating the timing of …

Temporal shifts to drier climates impose environmental stresses on plant communities that
may result in community reassembly and threatened ecosystem services, but also may …

Spatially extended patterns and multistability of possible different states are common in
many ecosystems, and their combination has an important impact on their dynamical …

Sensor placement and feature selection are critical steps in engineering, modeling, and data
science that share a common mathematical theme: the selected measurements should …

Qualitative changes can occur in the dynamics of nonlinear systems even for small
parameter variations. Such changes are manifestations of bifurcation in dynamical systems …

The development of early warning signals (EWS) before abrupt changes can help prevent
system collapse. Current EWS, such as increasing autocorrelation (AC) and variance …