Intermittent collective motion in sheep results from alternating the role of leader and follower

Gómez-Nava, Luis; Bon, Richard; Peruani, Fernando

doi:10.1038/s41567-022-01769-8

Cited by 34 publications

(16 citation statements)

References 57 publications

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“…In general, as group size increased in both black neon tetra and zebrafish, the mean durations of leadership episodes decreased and the probability of the episodes terminating was independent of their durations. In other words, leadership transitions among individuals were distributed randomly over time (in a different field, a similar result has been reported for sheep flocks; Gómez‐Nava et al ., 2022). In both species, the duration of momentary leadership episodes decreased when group size increased, but that duration was greater in black neon tetra than in zebrafish regardless of group size.…”

Section: Discussionmentioning

confidence: 99%

Motion leadership and local interaction in two species of freshwater fish (Danio rerio and Hyphessobrycon herbertaxelrodi)

Quera

Beltran

Gimeno

et al. 2023

Journal of Fish Biology

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The authors studied momentary motion leadership in small groups of black neon tetra (Hyphessobrycon herbertaxelrodi) and zebrafish (Danio rerio), its relationship with local interaction parameters, such as the acceleration and turning angle of the individuals, and the relative locations of the individuals within the group. The purpose was to know whether leadership tended to be monopolised by certain individuals or whether it was equitably shared between them and if there were differences in leadership sharing between these two species, which are known to have different degrees of cohesion and polarisation. The authors filmed groups of two, three, four and eight fishes of each species and tracked their individual motion by image analysis and trajectory extraction. In both species, motion leadership was not monopolized but egalitarian and very short lived, with leadership shifts distributed randomly over time. The duration of leadership episodes decreased as group size increased and was longer in black neon tetra than in zebrafish. Momentary leaders did not tend to be in the front positions, but closer to the centre of the group. Acceleration and turning angle were more extreme in zebrafish than in black neon tetra and in the momentary leaders than the followers in both species. In general, these differences between species and between leaders/followers were qualitatively similar with some differences in detail, indicating that the relationship between motion leadership and local interaction parameters is likely to conform to a general physical law.

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Section: Discussionmentioning

confidence: 99%

Motion leadership and local interaction in two species of freshwater fish (Danio rerio and Hyphessobrycon herbertaxelrodi)

Quera

Beltran

Gimeno

et al. 2023

Journal of Fish Biology

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“…Furthermore, we have demonstrated that Brownian motion and particle heterogeneity increase the frequency of state switching while having limited influence on the robustness of the structure. It is worth noting that, under the current condition of our platform, the upper limit for the number of controlled particles is expected to reach 100-200 particles (Note S2.3, Supporting Information), which is generally sufficient to replicate the collective motion of major natural systems such as fishes, [34] birds, [35] sheep, [36] locusts, [9] and ants. [37] Moreover, our method serves as an essential bridge between direct observation and analysis of collective living objects and purely theoretical modeling of collective motion.…”

Section: Discussionmentioning

confidence: 99%

Synchronous and Fully Steerable Active Particle Systems for Enhanced Mimicking of Collective Motion in Nature

et al. 2023

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The collective motion observed in living active matter, such as fish schools and bird flocks, is characterized by its dynamic and complex nature, involving various moving states and transitions. By tailoring physical interactions or incorporating information exchange capabilities, inanimate active particles can exhibit similar behavior. However, the lack of synchronous and arbitrary control over individual particles hinders their use as a test system for the study of more intricate collective motions in living species. Herein, we propose a novel optical feedback control system that enables the mimicry of collective motion observed in living objects using active particles. This system allows for the experimental investigation of the velocity alignment, a seminal model of collective motion (known as the Vicsek model), in a microscale perturbed environment with controllable and realistic conditions. We observe the spontaneous formation of different moving states and dynamic transitions between these states. Additionally, we quantitatively validate the high robustness of the active‐particle group at the critical density under the influence of different perturbations. Our findings support the effectiveness of velocity alignment in real perturbed environments, thereby providing a versatile platform for fundamental studies on collective motion and the development of innovative swarm microrobotics.This article is protected by copyright. All rights reserved

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“…An example of this is consensus, a phenomenon in which the macroscopic state of the whole system is produced when all elements of the system exhibit the same microscopic state, which may explain the emergence of the leading majority over a population of individuals. In this sense, blockchain-based applications [1][2][3][4] , dynamics of opinion formation [5][6][7][8][9][10][11][12] , physiological and ecological systems [13][14][15] , gene networks [16][17][18] , and transportation [19][20][21] , among others, are examples of the landscape of systems in which these majority dynamics emerge.…”

Section: Majority Network and Local Consensus Algorithmmentioning

confidence: 99%

Majority networks and local consensus algorithm

Goles

Medina

Santivañez

2023

Sci Rep

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In this paper, we study consensus behavior based on the local application of the majority consensus algorithm (a generalization of the majority rule) over four-connected bi-dimensional networks. In this context, we characterize theoretically every four-vicinity network in its capacity to reach consensus (every individual at the same opinion) for any initial configuration of binary opinions. Theoretically, we determine all regular grids with four neighbors in which consensus is reached and in which ones not. In addition, in those instances in which consensus is not reached, we characterize statistically the proportion of configurations that reach spurious fixed points from an ensemble of random initial configurations. Using numerical simulations, we also analyze two observables of the system to characterize the algorithm: (1) the quality of the achieved consensus, that is if it respects the initial majority of the network; and (2) the consensus time, measured as the average amount of steps to reach convergence.

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Intermittent collective motion in sheep results from alternating the role of leader and follower

Cited by 34 publications

References 57 publications

Motion leadership and local interaction in two species of freshwater fish (Danio rerio and Hyphessobrycon herbertaxelrodi)

Motion leadership and local interaction in two species of freshwater fish (Danio rerio and Hyphessobrycon herbertaxelrodi)

Synchronous and Fully Steerable Active Particle Systems for Enhanced Mimicking of Collective Motion in Nature

Majority networks and local consensus algorithm

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