Growth, innovation, scaling, and the pace of life in cities.¶
Bettencourt, L. M. A., Lobo, J., Helbing, D., Kühnert, C., & West, G. B. (2007). Growth, innovation, scaling, and the pace of life in cities. Proceedings of the National Academy of Sciences, 104(17), 7301-7306.
Cited by¶
4 citations across 4 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Allometry and Scaling Law
- Diseconomies of Scale
- The prime names that crossover and asserts that it is not an accident of bad management but a structural feature of systems whose connective tissue grows faster than their productive tissue.
This sourceEmpirically establishes superlinear scaling of urban quantities with population, formalizing the rate/exponent claim that when one quantity scales with a higher exponent than another a crossover is structurally inevitable, and that the served-quantity-outruns-serving-capacity pattern recurs across firms, organisms, and cities.
- The prime names that crossover and asserts that it is not an accident of bad management but a structural feature of systems whose connective tissue grows faster than their productive tissue.
- Economies of Scale
- In research organizations, large national laboratories (CERN, NIH, Argonne) spread the fixed cost of extraordinarily expensive shared instruments across many user groups, which is economies of scale in scientific infrastructure — kindred in form to the urban-scaling laws Bettencourt, Lobo, Helbing, Kühnert, and West (2007) documented, where shared metropolitan infrastructure shows sublinear per-capita cost as population grows.
This sourceDemonstrates sublinear (β ≈ 0.85) scaling of physical infrastructure with city population — shared metropolitan infrastructure showing declining per-capita cost as population grows
- In research organizations, large national laboratories (CERN, NIH, Argonne) spread the fixed cost of extraordinarily expensive shared instruments across many user groups, which is economies of scale in scientific infrastructure — kindred in form to the urban-scaling laws Bettencourt, Lobo, Helbing, Kühnert, and West (2007) documented, where shared metropolitan infrastructure shows sublinear per-capita cost as population grows.
- Scaling and Scale Dependence
- The underlying mechanism—fundamental shifts in dominant constraints and mechanisms—is domain-invariant, a cross-substrate transfer Bettencourt, Lobo, Helbing, Kühnert, and West (2007) demonstrated empirically by showing that diverse urban properties scale as power laws with population across nations and eras.
This sourceEmpirical demonstration that diverse urban properties (patents, wages, crime, infrastructure) scale as power laws with population across nations and historical periods, providing strong cross-substrate evidence that scale-dependence patterns transfer across domains.
- The underlying mechanism—fundamental shifts in dominant constraints and mechanisms—is domain-invariant, a cross-substrate transfer Bettencourt, Lobo, Helbing, Kühnert, and West (2007) demonstrated empirically by showing that diverse urban properties scale as power laws with population across nations and eras.
Verification¶
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