论文标题
从扩展法的角度评估城市对风险投资的吸引力
Assessing the attraction of cities on venture capital from a scaling law perspective
论文作者
论文摘要
城市是资本和发明孵化器整合的中心,吸引风险资本(VC)对于城市的创新技术和商业模式迈向可持续和繁荣的未来至关重要。然而,我们仍然对城市特征与风险投资活动之间的关系缺乏定量的理解。在本文中,我们发现VC活动与中国城市城市人口之间存在明显的非线性规模关系。在这样的非线性系统中,广泛应用的人均指标将偏向较大的城市或较小的城市,取决于它是超线性还是sublinear,而相对于规模定律的预测,城市的残留是一个更客观的和规模不变的指标。 %(即独立于城市规模)。这样的度量可以区分局部动力学的影响,并因人口规模的变化而引起的缩放生长。此类指标在VC活动上的时空演化揭示了三个不同的城市群体,其中两个分别以增加和减少的趋势脱颖而出。分类学结果以及空间分析还表示大型城市聚集区域之间的不同发展模式。此外,我们注意到,在VC活动上缩放指数的演变比城市的社会经济产量更大,并且一个概念模型侧重于不同大小的城市的增长动态,可以很好地解释它,我们认为这对其他情况是一般的。
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.