Cebrat Krzysztof, Sobczyński Maciej
Faculty of Architecture, Wrocław University of Technology, Wrocław, Poland.
Faculty of Biotechnology, University of Wrocław, Wrocław, Poland.
PLoS One. 2016 Dec 22;11(12):e0168753. doi: 10.1371/journal.pone.0168753. eCollection 2016.
Do scaling relations always provide the means to anticipate the relationships between the size of cities, costs of maintenance, and the socio-economic benefits resulting from their growth? Scaling laws are considered a universal principle that describes the development of complex systems such as cities. It seems that regardless of their location or history, the growth of cities is associated with the super-linear or sublinear scaling of features such as the amount of space required, infrastructure, or human activities. However, the results of our research, based on grouping by Self-Organizing Maps, reveal some limitations in the application of scaling laws: the trends of urban growth behave in a different manner when we consider both a large and diverse collection of cities and a subset of cities alike. This finding complements the existing body of knowledge on the growth of cities and allows for a more accurate prediction of their future.
规模关系是否总能提供手段来预测城市规模、维护成本以及城市发展所带来的社会经济效益之间的关系？规模法则被视为描述诸如城市等复杂系统发展的普遍原则。似乎无论城市的地理位置或历史如何，城市的发展都与诸如所需空间量、基础设施或人类活动等特征的超线性或次线性规模相关。然而，我们基于自组织映射分组的研究结果揭示了规模法则应用中的一些局限性：当我们考虑大量且多样的城市集合以及类似的城市子集时，城市增长趋势的表现方式有所不同。这一发现补充了关于城市发展的现有知识体系，并有助于更准确地预测城市的未来。
