Citation

Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study of starling flocks

Michele Ballerini, Nicola Cabibbo, Raphael Candelier, Andrea Cavagna, Evaristo Cisbani, Irene Giardina, Vivien Lecomte, Alberto Orlandi, Giorgio Parisi, Andrea Procaccini, Massimiliano Viale, Vladimir Zdravkovic, M. Ballerini, N. Cabibbo, R. Candelier, A. Cavagna, E. Cisbani, I. Giardina, V. Lecomte, A. Orlandi, G. Parisi, A. Procaccini, M. Viale, V. Zdravkovic

Proceedings of the National Academy of Sciences (2008)

TL;DR

Starlings interact with 6-7 nearest neighbors (topological)

This field study of wild starling flocks in Rome made a crucial discovery: starlings coordinate with their 6-7 nearest neighbors regardless of physical distance, not all birds within a fixed radius. This 'topological' rather than 'metric' interaction rule explains how flocks maintain coordination at varying densities.

The finding has important implications for organizational design. It suggests that effective coordination depends on having the right number of connection points (neighbors), not proximity per se. Teams that maintain consistent interaction patterns with a fixed number of key partners can coordinate effectively regardless of organizational 'density' or geographic distribution.

This topological coordination principle also explains why starling flocks don't fragment at low density or become chaotic at high density - the fixed neighbor count provides consistent coordination bandwidth.

Key Findings from Ballerini et al. (2008)

  • Starlings interact with 6-7 nearest neighbors (topological)
  • Interaction is NOT based on fixed distance radius (metric)
  • This explains flock cohesion across varying densities
  • Fixed neighbor count provides consistent coordination bandwidth
  • Rule applies regardless of flock size or density
  • Starlings interact with ~6-7 nearest neighbors regardless of metric distance
  • Topological interaction rules maintain coordination across varying flock densities
  • Information propagates through the flock faster than individual bird movement
  • The interaction rule explains how flocks maintain cohesion while rapidly responding to threats

Used in 2 chapters

See how this research informs the book's frameworks:

Related Mechanisms for Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study of starling flocks

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Related Frameworks for Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study of starling flocks

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