Collective Motion due to Individual Escape and Pursuit Response

Romanczuk, Pawel; Couzin, Iain D.; Schimansky‐Geier, Lutz

doi:10.1103/physrevlett.102.010602

Cited by 248 publications

(223 citation statements)

References 23 publications

Supporting

Mentioning

213

Contrasting

Order By: Relevance

“…The response of an individual i to other individuals is described by an effective social forceF s i , which is the sum of three different components: escape behaviour, where individuals move away when they are approached from behind; pursuit behaviour, where an individual moves towards another individual moving forwards in front of it; and a repulsion component, which ensures individuals maintain a preferred minimal distance from neighbours (the details of the social force calculations can be found in the electronic supplementary material). The escape and pursuit interactions are similar to those described in [15] and only take place if individuals have a distance greater than the repulsion range, but still within the sensory range. There are no escape and pursuit interactions with stationary individuals.…”

Section: (C) Model Implementationsupporting

confidence: 60%

“…In order to explore the influence of nutritional state on the onset of large-scale migration in locust swarms, we extend Romanczuk et al's [15] model of collective motion, where individuals have selective repulsion and attraction interactions from escape and pursuit behaviour, respectively. This was an abstract model of swarming and thus unsuitable for direct comparison with our data, lacking key features such as biologically derived motion characteristics.…”

Section: Model (A) Model Descriptionmentioning

confidence: 99%

“…Individuals move in order to reduce their own risk of being cannibalized and in doing so are likely to contact conspecifics, leading to an auto-catalytic process where cannibalism drives the marching behaviour [22]. Romanczuk et al [15] developed a model of swarming to demonstrate that such interactions can account for the long-range order (alignment) of individuals within a group. In this model, individuals have varying velocities and show increased movement away when approached from behind (or 'escape behaviour') and attraction to those ahead (or 'pursuit behaviour'), and hence coordinated group motion does not necessarily rely on explicit alignment among near neighbours.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nutritional state and collective motion: from individuals to mass migration

et al. 2010

Self Cite

View full text Add to dashboard Cite

In order to move effectively in unpredictable or heterogeneous environments animals must make appropriate decisions in response to internal and external cues. Identifying the link between these components remains a challenge for movement ecology and is important in understanding the mechanisms driving both individual and collective motion. One accessible way of examining how internal state influences an individual's motion is to consider the nutritional state of an animal. Our experimental results reveal that nutritional state exerts a relatively minor influence on the motion of isolated individuals, but large group-level differences emerge from diet affecting inter-individual interactions. This supports the idea that mass movement in locusts may be driven by cannibalism. To estimate how these findings are likely to impact collective migration of locust hopper bands, we create an experimentally parametrized model of locust interactions and motion. Our model supports our hypothesis that nutrient-dependent social interactions can lead to the collective motion seen in our experiments and predicts a transition in the mean speed and the degree of coordination of bands with increasing insect density. Furthermore, increasing the interaction strength (representing greater protein deprivation) dramatically reduces the critical density at which this transition occurs, demonstrating that individuals' nutritional state could have a major impact on large-scale migration.

show abstract

Section: (C) Model Implementationsupporting

confidence: 60%

Section: Model (A) Model Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nutritional state and collective motion: from individuals to mass migration

et al. 2010

Self Cite

View full text Add to dashboard Cite

show abstract

“…There exist also the special cases where there is no interaction with either approaching or moving away We refer to the situation m a , 0 and m m . 0 as 'escape and pursuit', to due similar behaviour as in the original Brownian particle model [12]. For m a .…”

Section: ð2:8þmentioning

confidence: 58%

“…However, we would like to emphasize that in the original escape -pursuit model with Brownian agents, this spatial anisotropy is essential for the emergence of large-scale collective motion. This is related to the absence of an explicit self-propulsion in the dynamics of individuals in Romanczuk et al [12], and the corresponding low persistence length in individual motion.…”

Section: Discussionmentioning

confidence: 99%

Swarming and pattern formation due to selective attraction and repulsion

Romanczuk

Schimansky‐Geier

2012

Interface Focus.

Self Cite

View full text Add to dashboard Cite

We discuss the collective dynamics of self-propelled particles with selective attraction and repulsion interactions. Each particle, or individual, may respond differently to its neighbours depending on the sign of their relative velocity. Thus, it is able to distinguish approaching (coming closer) and retreating (moving away) individuals. This differentiation of the social response is motivated by the response to looming visual stimuli and may be seen as a generalization of the previously proposed escape and pursuit interactions motivated by empirical evidence for cannibalism as a driving force of collective migration in locusts and Mormon crickets. The model can account for different types of behaviour such as pure attraction, pure repulsion or escape and pursuit, depending on the values (signs) of the different response strengths. It provides, in the light of recent experimental results, an interesting alternative to previously proposed models of collective motion with an explicit velocity -alignment interaction. We discuss the derivation of a coarse-grained description of the system dynamics, which allows us to derive analytically the necessary condition for emergence of collective motion. Furthermore, we analyse systematically the onset of collective motion and clustering in numerical simulations of the model for varying interaction strengths. We show that collective motion arises only in a subregion of the parameter space, which is consistent with the analytical prediction and corresponds to an effective escape and/or pursuit response.

show abstract

Application of quorum response and information entropy to animal collective motion modeling

Escudero

Buhl

et al. 2016

Complexity

View full text Add to dashboard Cite

“Quorum response” is a type of social interaction in which an individual's chance of choosing an option is a nonlinear function of the number of other individuals already committing to it. This interaction has been widely used to characterize collective decision‐making in animal groups. Here, we first implement it in 1D and 2D models of collective animal movement, and find that the resulting group motion shows the characteristic behaviors which were observed in previous experimental and modeling studies. Further, the analytic form of quorum response renders us an opportunity to propose a mean field theory in 1D with globally interacting particles, so we can estimate the average time period between changes in the group direction (mean switching time). We find that the theoretical results provide an upper bound to the simulation results when the interaction radius grows from local to global. Information entropy, a concept widely used to quantify the uncertainty of a random variable, is introduced here as a new order parameter to study the evolution of systems of two cases in 2D models. The explicitly formulated probability of a particle's dynamic state in the framework of quorum response makes information entropy directly computable. We find that, besides the global order, information entropy can also capture the structural features of local order of the system which previous order parameters such as alignment cannot. © 2016 Wiley Periodicals, Inc. Complexity 21: 584–592, 2016

show abstract

Collective Motion due to Individual Escape and Pursuit Response

Cited by 248 publications

References 23 publications

Nutritional state and collective motion: from individuals to mass migration

Nutritional state and collective motion: from individuals to mass migration

Swarming and pattern formation due to selective attraction and repulsion

Application of quorum response and information entropy to animal collective motion modeling

Contact Info

Product

Resources

About