Objective:
- Characterize the hierarchical organization of cities, and in particular it quantifies the statistical occurence of large cities
Case:
- US, French, UK and Canadian
Methodology:
- Urban population growth: $\frac{\partial S_i}{\partial t} = \eta_i S_i + \sum_j J_{j \rightarrow i} - J_{i \rightarrow j}$
- Denote: $\sum_j J_{j \rightarrow i} - J_{i \rightarrow j} = I_0 S_i^v \sum_j X_{ij}$
- Stationary distribution
Data Source
Findings:
- The large fluctuations of Levy noise are able to statistically reproduces such ebbs and flows of cities
Coding Reference:
