摘要翻译：
城市是资本的集中地和发明的孵化器，吸引风险投资对城市创新技术和商业模式的发展具有重要意义。然而，对于城市特色与风险投资活动之间的关系，我们还缺乏定量的认识。本文发现风险投资活动与中国城市人口之间存在明显的非线性比例关系。在这种非线性系统中，广泛应用的线性人均指标是超线性指标还是次线性指标会偏向大城市还是小城市，而城市相对于标度律预测的残差是一个更加客观和标度不变的度量。%（即独立于城市规模）。这样的度量可以区分由种群规模变化引起的局部动态和规模增长的影响。这些指标对风险投资活动的时空演变揭示了三个不同的城市组，其中两个分别具有增加和减少的趋势。分类结果和空间分析也表明了大城市群区域之间不同的发展模式。此外，我们还注意到风险投资活动的规模指数的演变比城市社会经济产出的波动大得多，一个关注不同规模城市增长动态的概念模型可以很好地解释这一变化，我们认为这一模型对其他场景也是通用的。
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英文标题：
《Assessing the attraction of cities on venture capital from a scaling law
  perspective》
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作者：
Ruiqi Li, Lingyun Lu, Weiwei Gu, Shaodong Ma, Gang Xu and H. Eugene
  Stanley
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最新提交年份：
2020
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分类信息：

一级分类：Physics        物理学
二级分类：Physics and Society        物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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一级分类：Economics        经济学
二级分类：General Economics        一般经济学
分类描述：General methodological, applied, and empirical contributions to economics.
对经济学的一般方法、应用和经验贡献。
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一级分类：Quantitative Finance        数量金融学
二级分类：Economics        经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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英文摘要：
  Cities are centers for the integration of capital and incubators of invention, and attracting venture capital (VC) is of great importance for cities to advance in innovative technology and business models towards a sustainable and prosperous future. Yet we still lack a quantitative understanding of the relationship between urban characteristics and VC activities. In this paper, we find a clear nonlinear scaling relationship between VC activities and the urban population of Chinese cities. In such nonlinear systems, the widely applied linear per capita indicators would be either biased to larger cities or smaller cities depends on whether it is superlinear or sublinear, while the residual of cities relative to the prediction of scaling law is a more objective and scale-invariant metric. %(i.e., independent of the city size). Such a metric can distinguish the effects of local dynamics and scaled growth induced by the change of population size. The spatiotemporal evolution of such metrics on VC activities reveals three distinct groups of cities, two of which stand out with increasing and decreasing trends, respectively. And the taxonomy results together with spatial analysis also signify different development modes between large urban agglomeration regions. Besides, we notice the evolution of scaling exponents on VC activities are of much larger fluctuations than on socioeconomic output of cities, and a conceptual model that focuses on the growth dynamics of different sized cities can well explain it, which we assume would be general to other scenarios.
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