ArticleScientific reports2016
Swarm dynamics may give rise to Lévy flights.
Article in Scientific reports, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 22 papers.
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Who cites it
22 citing papers in PubMed.
- Information structure of heterogeneous criticality in a fish school.Scientific reports · 2024Article
- Swarming Insects May Have Finely Tuned Characteristic Reynolds Numbers.Biomimetics (Basel, Switzerland) · 2024Article
- Article
- Fluctuating landscapes and heavy tails in animal behavior.bioRxiv : the preprint server for biology · 2023Article
- Functional duality in group criticality via ambiguous interactions.PLoS computational biology · 2023Article
- Random walk and cell morphology dynamics inFrontiers in cell and developmental biology · 2023Article
- Stochastic modelling of bird flocks: accounting for the cohesiveness of collective motion.Journal of the Royal Society, Interface · 2022Article
- Intrinsic and environmental factors modulating autonomous robotic search under high uncertainty.Scientific reports · 2021Article
- Single-cell tracking reveals super-spreading brain cancer cells with high persistence.Biochemistry and biophysics reports · 2021Article
- Understanding the thermodynamic properties of insect swarms.Scientific reports · 2021Article
- Scale-free movement patterns in termites emerge from social interactions and preferential attachments.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Sediment availability provokes a shift from Brownian to Lévy-like clonal expansion in a dune building grass.Ecology letters · 2021Article
- Delay time of waves performing Lévy walks in 1D random media.Scientific reports · 2020Article
- Development of swarm behavior in artificial learning agents that adapt to different foraging environments.PloS one · 2020Article
- On the emergence of gravitational-like forces in insect swarms.Journal of the Royal Society, Interface · 2019Article
- Persistent random deformation model of cells crawling on a gel surface.Scientific reports · 2018Article
- The optimal movement patterns for mating encounters with sexually asymmetric detection ranges.Scientific reports · 2018Article
- Current status and future directions of Lévy walk research.Biology open · 2018Review
- Langevin dynamics encapsulate the microscopic and emergent macroscopic properties of midge swarms.Journal of the Royal Society, Interface · 2018Article
- The evolutionary origins of Lévy walk foraging.PLoS computational biology · 2017Article
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Authors and funding
2 authors.
Funding
Abstract
"Continuous-time correlated random walks" are now gaining traction as models of scale-finite animal movement patterns because they overcome inherent shortcomings with the prevailing paradigm - discrete random walk models. Continuous-time correlated random walk models are founded on the classic Langevin equation that is driven by purely additive noise. The Langevin equation is, however, changed fundamentally by the smallest of multiplicative noises. The inclusion of such noises gives rise to Lévy flights, a popular but controversial model of scale-free movement patterns. Multiplicative noises have not featured prominently in the literature on biological Lévy flights, being seen, perhaps, as no more than a mathematical contrivance. Here we show how Langevin equations driven by multiplicative noises and incumbent Lévy flights arise naturally in the modelling of swarms. Model predictions find some support in three-dimensional, time-resolved measurements of the positions of individual insects in laboratory swarms of the midge Chironomus riparius. We hereby provide a new window on Lévy flights as models of movement pattern data, linking patterns to generative processes.
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