# Empirical analysis on the connection between power-law distributions and allometries for urban indicators

@article{Alves2014EmpiricalAO, title={Empirical analysis on the connection between power-law distributions and allometries for urban indicators}, author={Luiz G. A. Alves and Haroldo V. Ribeiro and Ervin Kaminski Lenzi and Renio S. Mendes}, journal={Physica A-statistical Mechanics and Its Applications}, year={2014}, volume={409}, pages={175-182} }

## 30 Citations

### Unveiling relationships between crime and property in England and Wales via density scale-adjusted metrics and network tools

- EconomicsPloS one
- 2018

Burglary and robbery were the most connected in the network analysis and the modular structures suggest an alternative to “zero-tolerance” policies by unveiling the crime and/or property types most likely to affect each other.

### Scale-Adjusted Metrics for Predicting the Evolution of Urban Indicators and Quantifying the Performance of Cities

- Computer SciencePloS one
- 2015

It is shown that this scale-adjusted metric provides a more appropriate/informative summary of the evolution of urban indicators and reveals patterns that do not appear in the Evolution of per capita values of indicators obtained from Brazilian cities, and is strongly correlated with their past values by a linear correspondence and that they also display crosscorrelations among themselves.

### Evolution of urban scaling: Evidence from Brazil

- SociologyPloS one
- 2018

An exploration of the scaling exponents for over 60 variables for the Brazilian urban system found hints that the scaling exponent of these variables are evolving towards the expected scaling regime, indicating that the deviations might be temporally constrained and that the urban systems might eventually reach the expected scaled regime.

### Exploring Allometric Scaling Relations between Fractal Dimensions of Metro Networks and Economic, Environmental and Social Indicators: A Case Study of 26 Cities in China

- HistoryISPRS Int. J. Geo Inf.
- 2021

It was found that fractal dimensions of metro networks had positive allometric relations with gross domestic product (GDP), population, particulate matter with a diameter less than 2.5 microns, which implies that allometric Relations do exist with metro networks, which is helpful in deepening the understanding of how metro systems interact with urban quantities in the self-organized evolution of cities.

### Evolução das leis de escala urbanas

- Sociology
- 2020

During the last years, the new science of cities has been established as a fertile quantitative approach to systematically understand the urban phenomena. One of its main pillars is the proposition…

### Rural to Urban Population Density Scaling of Crime and Property Transactions in English and Welsh Parliamentary Constituencies

- HistoryPloS one
- 2016

This study significantly refines the understanding of urban scaling, making clear that some of what has been previously ascribed to urban environments may simply be the high density portion of non-urban scaling and that some metrics undergo specific transitions in urban environments and can include negative scaling exponents indicative of collapse.

### Artificial increasing returns to scale and the problem of sampling from lognormals

- EconomicsEnvironment and Planning B: Urban Analytics and City Science
- 2020

We show how increasing returns to scale in urban scaling can artificially emerge, systematically and predictably, without any sorting or positive externalities. We employ a model where individual…

### Strata-based quantification of distributional uncertainty in socio-economic indicators: A comparative study of Indian states

- EconomicsSocio-Economic Planning Sciences
- 2021

### Leis de Escala em Cidades

- Economics
- 2015

MEIRELLES, Joao. Scaling Laws in Cities. 2015. 96 p. Dissertation (Master of Science) – School of Arts, Sciences and Humanities, University of Sao Paulo, Sao Paulo, 2015. Throughout history science…

### Scaling tunable network model to reproduce the density-driven superlinear relation.

- PhysicsChaos
- 2018

The scaling relations between the gross domestic production (GDP) and the population based on the total and density values are revisited and it is revealed that the allometric scaling under density values for different regions is universal.

## References

SHOWING 1-10 OF 35 REFERENCES

### Distance to the Scaling Law: A Useful Approach for Unveiling Relationships between Crime and Urban Metrics

- Computer SciencePloS one
- 2013

It is argued that it is better to employ logarithms in order to describe the number of homicides in function of the urban metrics via regression analysis, and an approach to correlate crime and urban metrics is proposed via the evaluation of the distance between the actual value and the value that is expected by the scaling law with the population size.

### The Statistics of Urban Scaling and Their Connection to Zipf’s Law

- EconomicsPloS one
- 2012

A self-consistent statistical framework is built that characterizes the joint probability distributions of urban indicators and city population sizes across an urban system and shows that scaling laws emerge as expectation values of these conditional statistics.

### Urban Scaling and Its Deviations: Revealing the Structure of Wealth, Innovation and Crime across Cities

- EconomicsPloS one
- 2010

It is found that local urban dynamics display long-term memory, so cities under or outperforming their size expectation maintain such (dis)advantage for decades.

### Growth, innovation, scaling, and the pace of life in cities

- EconomicsProceedings of the National Academy of Sciences
- 2007

Empirical evidence is presented indicating that the processes relating urbanization to economic development and knowledge creation are very general, being shared by all cities belonging to the same urban system and sustained across different nations and times.

### The dynamics of global urban expansion

- Economics
- 2005

This study examined the dynamics of global urban expansion by defining a new universe of 3,943 cities with population in excess of 100,000 and drawing a stratified global sample of 120 cities from…

### The Origins of Scaling in Cities

- EconomicsScience
- 2013

All cities may evolve according to a small set of basic principles that operate locally, which are shown to be independent of city size and might be a useful means to evaluate urban planning strategies.

### Statistical Signs of Social Influence on Suicides

- PsychologyScientific reports
- 2014

The social effect on the occurrence of homicides has been confirmed here, in terms of a superlinear scaling relation: by doubling the population of a Brazilian city results in an average increment of 135% in the number of homicides, rather than the expected isometric increase of 100%, as found for the mortality due to car crashes.

### Power Law Distributions of Patents as Indicators of Innovation

- EconomicsPloS one
- 2012

Evidence is presented that the distribution of patents amongst applicants within many countries is well-described by power laws with exponents that vary between 1.66 (Japan) and 2.37 (Poland), which suggests that this exponent is a useful new metric for studying innovation.

### Gibrat's Law for (All) Cities

- Economics
- 2004

Two empirical regularities concerning the size distribution of cities have repeatedly been established: Zipf's law holds (the upper tail is Pareto), and city growth is proportionate. Census 2000 data…