Temporal patterns of dispersal-induced synchronization in population dynamics

Area of Science:

• Ecology
• Mathematical Biology
• Population Dynamics

Background:

• Ecological population synchronization is a common phenomenon with significant implications for extinction risk and environmental impacts.
• Previous studies focused on stable, complete synchronization in coupled oscillators, but weak dispersal can lead to intermittent synchrony.

Purpose of the Study:

• To investigate the temporal patterning of intermittent synchrony in a system of two dispersal-coupled Rosenzweig-MacArthur predator-prey oscillators.
• To analyze the distributions of desynchronized interval durations and their dependence on model parameters.

Main Methods:

• Modeling two dispersal-coupled Rosenzweig-MacArthur predator-prey oscillators.
• Analyzing the temporal dynamics of synchronized and desynchronized intervals.
• Examining the influence of model parameters, including predator-prey dynamics and dispersal strength, on synchrony patterns.

Main Results:

• The temporal patterning of synchronous dynamics is influenced by the properties of individual predator-prey patches and can vary independently of dispersal strength.
• Slower predator dynamics relative to prey dynamics result in numerous short desynchronizations rather than few long ones.
• Weaker dispersal may be sufficient to achieve strong synchrony when predator dynamics are slow.

Conclusions:

• Intermittent synchrony in ecological networks is complex, with temporal patterns shaped by both individual patch characteristics and coupling strengths.
• Understanding these patterns is crucial for predicting population dynamics and mitigating extinction risks in spatially structured ecosystems.
• The relative speeds of predator and prey population dynamics play a key role in determining the nature of synchrony and the required dispersal for synchronization.