6

Urban carbon dioxide emissions and the roles of population, area, and density

This chapter revisits a generalized framework based on an analogy with the economic theory of production functions for simultaneously describing urban emissions in terms of population and area along with possible interactions between these urban …

Density scaling laws and rural-to-urban transitions

This chapter revisits an attempt to incorporate rural and urban regions into a coherent and unified approach based on scaling relationships between indicator density and population density. We apply this approach across regions spanning a wide range …

Connection between Zipf's law and urban scaling

This chapter revisits two approaches connecting Zipf’s law and urban scaling – two of the best-known examples of regularities emerging in urban systems. The first approach shows that when an urban indicator is asymptotically distributed as a …

Comparing cities of different sizes with scale-adjusted metrics

Scaling laws between urban indicators and the population are one of the most striking and universal findings of recent urban studies. However, several government reports and academic works still ignore these nonlinearities when investigating rates or …