Nested economies of scale in global city mass

Fuente: arXiv
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Main Authors: Huang, Kangning, Lu, Mingzhen
Format: Preprint
Published: 2025
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author Huang, Kangning
Lu, Mingzhen
author_facet Huang, Kangning
Lu, Mingzhen
contents A longstanding puzzle in urban science is whether there's an intrinsic match between human populations and the mass of their built environments. Previous findings have revealed various urban properties scaling nonlinearly with population, yet existing models of city built mass are still dominated by per-capita linear thinking. Our analysis of >3,000 cities globally reveals universal sublinear scaling of city mass with population at both the city (\{beta}=0.90) and neighborhood levels (δ=0.75). This means that larger cities and denser neighborhoods achieve economies of scale with less per-capita built mass. Our theoretical framework further shows that city-level scaling emerges naturally from within-city disparities. This multi-scale understanding redefines "over-built" and "under-built" conditions as deviations from expected scaling patterns, implying either excessive environmental impacts or inadequate living standards. Effective urban policy thus requires moving beyond simple per-capita assumptions, adopting scale-adjusted metrics and managing cities as nested, complex systems.
format Preprint
id arxiv_https___arxiv_org_abs_2507_03960
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nested economies of scale in global city mass
Huang, Kangning
Lu, Mingzhen
Physics and Society
Adaptation and Self-Organizing Systems
A longstanding puzzle in urban science is whether there's an intrinsic match between human populations and the mass of their built environments. Previous findings have revealed various urban properties scaling nonlinearly with population, yet existing models of city built mass are still dominated by per-capita linear thinking. Our analysis of >3,000 cities globally reveals universal sublinear scaling of city mass with population at both the city (\{beta}=0.90) and neighborhood levels (δ=0.75). This means that larger cities and denser neighborhoods achieve economies of scale with less per-capita built mass. Our theoretical framework further shows that city-level scaling emerges naturally from within-city disparities. This multi-scale understanding redefines "over-built" and "under-built" conditions as deviations from expected scaling patterns, implying either excessive environmental impacts or inadequate living standards. Effective urban policy thus requires moving beyond simple per-capita assumptions, adopting scale-adjusted metrics and managing cities as nested, complex systems.
title Nested economies of scale in global city mass
topic Physics and Society
Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2507.03960