Sublime

as cities grow and their networks evolve, the area or volume of the networks needed to keep them functionally connected tends to become smaller on a per capita basis. For example, in larger cities more people can share the same bus or segment of road or sewer pipe.

not vary.

We would now like to account for the behavior of collective growth in a system of cities and the pattern of relative fluctuations. Specifically, we would like to understand at a fundamental level the slowness and persistence of these deviations from scaling as well as get a handle on their typical magnitudes.

These data make a strong case that, as human social networks grow, they necessarily lead to systems that require fewer resources per person, and produce more per person. In other words, the benefits of scale for human groups have always been there.

Scaling exponent Driving effect Organization Growth β < 1 Economies of scale Structural (spatial) Subexponential, logistic (stable) β > 1 Network effects Social, informational Superexponential (open-ended) β = 1 Individual needs Individual, household Exponential

The future of humanity and the long-term sustainability of the planet are inextricably linked to the fate of our cities. Cities are the crucible of civilization, the hubs of innovation, the engines of wealth creation and centers of power, the magnets that attract creative individuals, and the stimulant for ideas, growth, and innovation. But they

What’s really happening within each city is a massive exchange of information across social and economic networks of people and organizations, all taking place on a complex infrastructural landscape of buildings, roads, pipes, and wires. For the most part there is no maestro; the properties of cities emerge from countless interactions of millions

The science of complex systems is the study of how local interactions can lead to global consequences.

Wealth, Built Area, and the True Population Size of Chinese Cities