Co-evolution of Density and Topology in a Simple Model of City Formation

被引：58

作者：

Barthelemy, Marc ^{[1
,2
]}

Flammini, Alessandro ^{[3
]}

机构：

[1] Ctr Etud Bruyeres Le Chatel, Dept Phys Theor & Appl, CEA, F-91680 Bruyeres Le Chatel, France

[2] Ecole Hautes Etud Sci Sociales, Ctr Anal & Math Sociales, CAMS, CNRS EHESS,UMR 8557, F-75270 Paris 06, France

[3] Indiana Univ, Sch Informat, Bloomington, IN 47408 USA

来源：

NETWORKS & SPATIAL ECONOMICS | 2009年 / 9卷 / 03期

关键词：

Networks; City formation and evolution; Urban economics; URBAN-GROWTH PATTERNS; TRANSPORTATION NETWORKS; SPATIAL STRUCTURE; STREET NETWORKS; SCALING LAWS; BETWEENNESS; CENTRALITY; GRAPHS; SIZE; SET;

D O I：

10.1007/s11067-008-9068-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study the influence that population density and the road network have on each others' growth and evolution. We use a simple model of formation and evolution of city roads which reproduces the most important empirical features of street networks in cities. Within this framework, we explicitly introduce the topology of the road network and analyze how it evolves and interact with the evolution of population density. We show that accessibility issues -pushing individuals to get closer to high centrality nodes- lead to high density regions and the appearance of densely populated centers. In particular, this model reproduces the empirical fact that the density profile decreases exponentially from a core district. In this simplified model, the size of the core district depends on the relative importance of transportation and rent costs.

引用

页码：401 / 425

页数：25