Cascade tipping, cascade hopping and indirect tipping in ecological systems

Area of Science:

• Ecology
• Complex Systems
• Mathematical Biology

Background:

• Tipping points represent abrupt shifts in system behavior.
• Coupled ecological systems are susceptible to sudden transitions.

Purpose of the Study:

• To demonstrate tipping phenomena in a three-species coupled ecological model.
• To investigate the role of environmental changes, coupling strength, and nonlinearity in driving transitions.
• To introduce and analyze indirect tipping.

Main Methods:

• Utilized a unidirectional, three-species coupled model (bacteria, phytoplankton, fish).
• Simulated ramp-like parameter drift in the first subsystem.
• Analyzed tipping phenomena across varying coupling strengths.

Main Results:

• Identified three tipping phenomena: tipping cascade, cascade hopping, and indirect tipping.
• Demonstrated indirect tipping, where the tertiary subsystem tips independently.
• Showcased the vulnerability of coupled systems to minor parameter changes.

Conclusions:

• Indirect tipping is a critical phenomenon in coupled ecological systems.
• Even seemingly stable subsystems can trigger unexpected shifts in connected populations.
• Close monitoring of all components in coupled systems is essential, even those appearing stable.