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Scale-free correlations in starling flocks

机译:star鸟群的无标度相关

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摘要

From bird flocks to fish schools, animal groups often seem to react to environmental perturbations as if of one mind. Most studies in collective animal behavior have aimed to understand how a globally ordered state may emerge from simple behavioral rules. Less effort has been devoted to understanding the origin of collective response, namely the way the group as a whole reacts to its environment. Yet, in the presence of strong predatory pressure on the group, collective response may yield a significant adaptive advantage. Here we suggest that collective response in animal groups may be achieved through scale-free behavioral correlations. By reconstructing the 3D position and velocity of individual birds in large flocks of starlings, we measured to what extent the velocity fluctuations of different birds are correlated to each other. We found that the range of such spatial correlation does not have a constant value, but it scales with the linear size of the flock. This result indicates that behavioral correlations are scale free: The change in the behavioral state of one animal affects and is affected by that of all other animals in the group, no matter how large the group is. Scale-free correlations provide each animal with an effective perception range much larger than the direct interindividual interaction range, thus enhancing global response to perturbations. Our results suggest that flocks behave as critical systems, poised to respond maximally to environmental perturbations.
机译:从鸟群到鱼群,动物群似乎常常像对一个人一样对环境扰动做出反应。大多数关于集体动物行为的研究旨在了解如何从简单的行为规则中产生全局有序的状态。人们花了更少的精力来理解集体反应的起源,即整个群体对环境的反应方式。但是,在对群体施加强大掠夺压力的情况下,集体反应可能会产生重大的适应优势。在这里,我们建议动物群体中的集体反应可以通过无标度的行为相关性来实现。通过重构大型star鸟群中单个鸟的3D位置和速度,我们测量了不同鸟的速度波动在多大程度上相互关联。我们发现,这种空间相关性的范围不是恒定值,而是随羊群的线性大小成比例。该结果表明行为相关性是无标度的:一只动物的行为状态变化会影响该组中所有其他动物的行为,并且受其影响,无论该组有多大。无标度的相关性为每只动物提供了一个有效的感知范围,该范围远大于直接个体间的相互作用范围,从而增强了对摄动的整体反应。我们的结果表明,羊群表现为关键系统,有望对环境扰动作出最大反应。

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