Scale-Adjusted Metrics for Predicting the Evolution of Urban Indicators and Quantifying the Performance of Cities
Fig 2
Allometric laws and the definition of the scale-adjusted metric DYi(t).
The scatter plots show the allometric relationships between number of homicides and population size for the years t = 1991, 2000 and 2010 in log-log scale (see S1 and S2 Figs for all other indicators). The allometric exponents βi (see Methods Section for details on the calculation of βi) and Pearson correlation coefficient ρ are shown in the figures. We highlight a particular city (Peixoto de Azevedo) in the three years to illustrate the definition and the evolution DYi(t). For this city, the number homicides was quite above the allometric law in the year t = 1991; however, it has approached the expected value by the allometric law over the years.