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Generalized synchronization in a tritrophic food web metacommunity.

Dweepabiswa Bagchi1, Ramesh Arumugam2, V K Chandrasekar3

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Complete synchronization in metacommunities increases extinction risk. Generalized synchronization in food webs, however, can enhance stability, with larger metacommunities showing greater resilience to dispersal effects.

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Area of Science:

  • Ecology
  • Theoretical Ecology
  • Mathematical Biology

Background:

  • Complete synchronization in ecological metacommunities amplifies extinction risks from environmental changes.
  • Understanding synchronization dynamics is crucial for metacommunity stability and resilience.

Purpose of the Study:

  • To demonstrate the emergence of generalized synchronization in a dispersally connected tritrophic food web metacommunity.
  • To investigate the influence of metacommunity size and dispersal type on synchronization and stability.

Main Methods:

  • Utilized an auxiliary system approach to model synchronization dynamics.
  • Employed the mutual false nearest neighbor method to analyze synchronization patterns.
  • Investigated both unidirectional and bidirectional dispersal scenarios within the metacommunity.

Main Results:

  • The critical dispersal rate for generalized synchronization increases with metacommunity size, indicating larger systems are more stable.
  • Bidirectional dispersal requires a lower critical dispersal rate than unidirectional dispersal for smaller metacommunities, but higher for larger ones.
  • Finite synchronization error persists post-generalized synchronization, serving as an early warning signal for metacommunity extinction.

Conclusions:

  • Generalized synchronization can emerge in heterogeneous metacommunities, offering a different stability dynamic than complete synchronization.
  • Metacommunity size and dispersal patterns significantly modulate the onset and stability of generalized synchronization.
  • The persistence of synchronization error acts as a critical indicator for potential metacommunity collapse.