Table 2 Scaling exponents within cities and across cities.

From: Understanding the mesoscopic scaling patterns within cities

Exponents

Within cities

Across cities

Observation

Model

Observation

Model

\(\beta _{sub}\)

[0.70, 0.92]

\(1 - \alpha \,\,(1 - \eta )\)

[0.74, 0.92]

\(1-\delta\)

\(\beta _{sup}\)

[1.07, 1.41]

\(a + b\,\,(\gamma -1)\)

[1.01, 1.33]

\(1+\delta\)

  1. The empirical and theoretical results across cities are obtained from Ref.14.