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Inherent noise can facilitate coherence in collective swarm motion
Open accessAbstract
Among the most striking aspects of the movement of many animal groups are their sudden coherent changes in direction. Recent observations of locusts and starlings have shown that this directional switching is an intrinsic property of their motion. Similar direction switches are seen in self-propelled particle and other models of group motion. Comprehending the factors that determine such switches is key to understanding the movement of these groups. Here, we adopt a coarse-grained approach to the study of directional switching in a self-propelled particle model assuming an underlying one-dimensional Fokker–Planck equation for the mean velocity of the particles. We continue with this assumption in analyzing experimental data on locusts and use a similar systematic Fokker–Planck equation coefficient estimation approach to extract the relevant information for the assumed Fokker–Planck equation underlying that experimental data. In the experiment itself the motion of groups of 5 to 100 locust nymphs was investigated in a homogeneous laboratory environment, helping us to establish the intrinsic dynamics of locust marching bands. We determine the mean time between direction switches as a function of group density for the experimental data and the self-propelled particle model. This systematic approach allows us to identify key differences between the experimental data and the model, revealing that individual locusts appear to increase the randomness of their movements in response to a loss of alignment by the group. We give a quantitative description of how locusts use noise to maintain swarm alignment. We discuss further how properties of individual animal behavior, inferred by using the Fokker–Planck equation coefficient estimation approach, can be implemented in the self-propelled particle model to replicate qualitatively the group level dynamics seen in the experimental data.
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Han, Y., Zhao, D., & Sun, Y. (2015) · Complexity · doi:10.1002/cplx.21747 · Cited by 28
Pohl, O., Hintsche, M., Alirezaeizanjani, Z., Seyrich, M., Beta, C., & Stark, H. (2017) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1005329 · Cited by 28
Fractional calculus ties the microscopic and macroscopic scales of complex network dynamics
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Polansky, L., & Wittemyer, G. (2010) · Journal of The Royal Society Interface · doi:10.1098/rsif.2010.0389 · Cited by 26
Metadata
- Authors
- Yates, C. A., Erban, R., Escudero, C., Couzin, I. D., Buhl, C., Kevrekidis, I. G., Maini, P. K., & Sumpter, D. J. T.
- Affiliations
- Centre for Mathematical Biology and
- Consejo Superior de Investigaciones Científicas (ES)
- Princeton University (US)
- The University of Sydney (AU)
- University of Oxford (GB)
- Uppsala University (SE)
- ORCID
- Venue
- Proceedings of the National Academy of Sciences
- Publisher
- National Academy of Sciences
- Published
- 2009-04-07
- Volume
- 106
- Issue
- 14
- Pages
- 5464-5469
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- PMC
- PMC2667078
- OpenAlex
- W2055256257
- Cited by
- 304
- References
- 27
- Citations by year
- 2026: 6 · 2025: 13 · 2024: 15 · 2023: 12 · 2022: 19 · 2021: 13 · 2020: 15 · 2019: 17 · 2018: 20 · 2017: 21 · 2016: 16 · 2015: 23 · 2014: 28 · 2013: 19 · 2012: 28
- FWCI
- 29.02
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Proceedings of the National Academy of Sciences (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Oxford University Research Archive (ORA) (University of Oxford) (acceptedVersion)
- DIGITAL.CSIC (Spanish National Research Council (CSIC)) (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology) (submittedVersion)
- Funders
- Princeton University
- King Abdullah University of Science and Technology (KUK‐C1‐013‐04)
- Directorate for Biological Sciences
- Engineering and Physical Sciences Research Council
- Biotechnology and Biological Sciences Research Council
- Air Force Office of Scientific Research
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Distributed Control Multi-Agent Systems
- Social Sciences › Safety Research › Evacuation and Crowd Dynamics
- Physical Sciences › Engineering › Mechanical Engineering › Modular Robots and Swarm Intelligence
- Keywords
- collective motion, locusts, Sturnidae, directional switching, self-propelled particle model, Fokker-Planck equation, noise, group density, marching bands, animal collective behavior
- MeSH terms
- Animals, Computer Simulation, Flight, Animal, Grasshoppers, Models, Biological, Movement, Noise, Starlings
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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