Tipping points in complex systems may imply risks of unwanted collapse, but also
opportunities for positive change. Our capacity to navigate such risks and opportunities can …

Localized ecological interactions can generate striking large-scale spatial patterns in
ecosystems through spatial self-organization. Possible mechanisms include oscillating …

For epidemiologists, evolutionary biologists, and health-care professionals, real-time and
predictive modeling of infectious disease is of growing importance. This book provides a …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

Humans and climate affect ecosystems and their services, which may involve continuous
and discontinuous transitions from one stable state to another. Discontinuous transitions are …

Major depression is a debilitating and recurrent disorder with a substantial lifetime risk and a
high social cost. Depressed patients generally display co-morbid symptoms, and depression …

Scaling relationships (where body size features as the independent variable) and power-law
distributions are commonly reported in ecological systems. In this review we analyze scaling …

Generic early-warning signals such as increased autocorrelation and variance have been
demonstrated in time-series of systems with alternative stable states approaching a critical …

Watershed resilience is the ability of a watershed to maintain its characteristic system state
while concurrently resisting, adapting to, and reorganizing after hydrological (for example …

Tipping points—where a small perturbation triggers a large response—can occur in many
complex environmental systems. They produce abrupt and sometimes irreversible change …