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都市は生物システムと同じ法則に従うことを解明(Cities obey the same laws of living systems)

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2025-08-21 スイス連邦工科大学ローザンヌ校(EPFL)

EPFLの研究チームは、都市が生物システムと同様の普遍的法則に従うことを明らかにしました。都市人口を生物の質量、炭素排出を代謝速度、道路網を循環系に見立て、世界100都市以上のデータを分析した結果、大小を問わず共通のスケーリング関係が確認されました。これは生物で知られる「クレイバーの法則」を都市に適用したもので、都市規模が大きいほど資源分配が効率化する自己組織化が進むことを示しています。ただし大都市が必ずしも持続可能とは限らず、人口密度や交通網、経済活動の相互作用が鍵となると指摘されました。研究では都市を小区域に分割して有限サイズスケーリングを適用し、境界定義の曖昧さを克服しました。都市を制御可能な機械ではなく、生物のように自己組織化する複雑系として理解する視点が、持続可能な都市設計に重要であると結論づけています。

都市は生物システムと同じ法則に従うことを解明(Cities obey the same laws of living systems)
Cities like living organisms, an illustration by Alicia Crespo Montañes, EPFL URBES, 2025

<関連情報>

都市代謝の確率論的理論 A stochastic theory of urban metabolism

Martin Hendrick, Andrea Rinaldo, and Gabriele Manoli
Proceedings of the National Academy of Sciences  Published:August 11, 2025
DOI:https://doi.org/10.1073/pnas.2501224122

Significance

Cities can be viewed as living organisms and their metabolism as the set of processes controlling their evolving structure and function. Urban population, transport networks, and all anthropogenic activities have been proposed to mimic body mass, vascular systems, and metabolic rates of living organisms. This analogy is supported by the emergence of seemingly universal scaling laws linking city-scale quantities to population size. However, such scaling relations critically depend on the choices of city boundaries and neglect intraurban variations of urban properties. By capitalizing on today’s availability of high-resolution data, findings emerge on the generality of small-scale covariations in city characteristics and their link to city-wide averages, thus opening broad avenues to understand and design future urban environments.

Abstract

A current tenet in the science of cities is the emergence of power-law relations between population size and a variety of urban indicators, echoing allometric scaling in living organisms akin to Kleiber’s law. However fascinating, existing scaling theories suffer from biases related to the ad-hoc definition of city boundaries and to their neglect of intraurban variability of city properties. Here, to deal rigorously with biases, we explore the hypothesis that the empirical statistics of intracity variations in population counts, road networks, and carbon emissions-across various cities and spatial scales-can be interpreted as resulting from the joint fluctuations of spatially dependent random variables. Rather than relating urban characteristics to overall city size, we focus on how intraurban properties and local population patterns vary together across space. We find that the marginal and joint probability distributions are characterized by finite-size scaling functions which, upon suitable rescaling, collapse onto a set of universal curves. These results are analogous to those relating intraspecies variability in living organisms where the scaling of mean body mass with a characteristic metabolic rate clouds the effects of the variance of both traits. Our findings lay the foundations for a generalized theory of urban metabolism, linking city-scale quantities to the covariation of intraurban characteristics. This also opens up opportunities for a full exploitation of available urban data allowing the integration of biologically inspired theories into the modeling and planning of cities.

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