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城市的标度效应:体量、规模与形状

迈克·巴蒂 沈尧 胡玶妍

上海城市规划2025,Vol.181Issue(2):1-6,6.
上海城市规划2025,Vol.181Issue(2):1-6,6.DOI:10.11982/j.supr.20250201

城市的标度效应:体量、规模与形状

Urban Scaling Revisited:Size,Scale,and Shape

迈克·巴蒂 1沈尧 2胡玶妍3

作者信息

  • 1. 英国伦敦大学学院高级空间分析中心||英国皇家科学院||中国科学院
  • 2. 同济大学建筑与城市规划学院||同济大学中英联合城市科学实验室
  • 3. 同济大学建筑与城市规划学院
  • 折叠

摘要

Abstract

In this research,we define four different sets of relationships that tie together theories and methods that describe and explain how cities and their spatial locations change as they scale.By scaling we mean changes in the size of urban phenomena such as population that take place as cities grow and more generically,how cities change over time.These relationships cover city size distributions and the rank size rule,urban density functions that relate to how dense populations are with respect to their location around the central area of cities,how gravitational interactions between locations scale with respect to distance,and finally how attributes relating to size in cities such as income scale allometrically as cities change in size.These four relationships can be associated with those who first popularised their form,which in the order we introduce them,are what we call Zipf's Law,Clark's Law,Tobler's Law,and Marshall's Law.Having described their form,we illustrate their application to the distribution of employment and populations for small areas and for whole cities in the UK,reflecting a form of spatial intelligence for planning informed by the principles of urban scaling.

关键词

标度律/异速增长/规模/人口/就业

Key words

scaling/allometry/size/population/employment

分类

土木建筑

引用本文复制引用

迈克·巴蒂,沈尧,胡玶妍..城市的标度效应:体量、规模与形状[J].上海城市规划,2025,181(2):1-6,6.

基金项目

阿兰图灵研究院RUBICON项目(ELAT2/100002) (ELAT2/100002)

QUANT项目(EP/W006022/1) (EP/W006022/1)

国家自然科学基金面上项目"高频城市的网络韧性提升:精细化测度、关键要素识别与自适应优化研究"(编号52278074) (编号52278074)

中央高校基本科研业务费专项资金项目(编号22120240370)资助. (编号22120240370)

上海城市规划

OA北大核心

1673-8985

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