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Size, connectivity, and tipping in spatial networks: Theory and empirics

机译:空间网络的大小,连通性和小费:理论和经验

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We study the impact of settlement sizes on network connectivity in a spatial setting. First, we develop a model of geometric urban networks that posits a positive relationship between connectivity and size. Empirical evidence is then presented validating the model prediction that local links exhibit super-linear scaling with the exponent greater than 1, while long-range connections scale linearly with the unit exponent The scaling exponents thus suggest that the impact of population size on connectivity is stronger within cities than between cities. We next combine the geometric framework with a computational model of interacting agents to generate a realistic settlement distribution and urban networks from the bottom-up. Calibrated simulation results demonstrate the consistency between hierarchical rank-size distribution and scale-free connectivity. Finally, coupling the spatial network with a tipping diffusion model allows us to consolidate the evolution of network connectivity, city sizes, and social practices in a unified computational framework. (C) 2015 The Authors. Published by Elsevier Ltd.
机译:我们研究在空间环境中沉降规模对网络连接性的影响。首先,我们建立了一个几何城市网络模型,该模型在连通性和规模之间建立了正向关系。然后提供经验证据,以验证模型预测:局部链接表现出指数大于1的超线性缩放,而远程连接则以单位指数线性缩放。缩放指数因此表明,人口规模对连通性的影响更强在城市内部而不是城市之间。接下来,我们将几何框架与交互代理的计算模型结合起来,以自下而上地生成真实的定居点分布和城市网络。校准的仿真结果证明了等级秩大小分布和无标度连接之间的一致性。最后,将空间网络与引爆扩散模型耦合在一起,可以使我们在统一的计算框架中整合网络连通性,城市规模和社会实践的演变。 (C)2015作者。由Elsevier Ltd.发布

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