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Related Experiment Video

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Nanosponge Tunability in Size and Crosslinking Density

Nanosponge Tunability in Size and Crosslinking Density

Published on: August 4, 2017

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

Liang Gao¹, Xiaoya Shan¹, Yuhao Qin¹

¹Institute of Transportation Systems Science and Engineering, MOE Key Laboratory of Urban Transportation System Theory and Technology, State Key Laboratory of Rail Traffic Control and Safety, and Center of Cooperative Innovation for Beijing Metropolitan Transportation, Beijing Jiaotong University, Beijing 100044, China.

Chaos (Woodbury, N.Y.)

|April 2, 2018

Summary

This study reveals universal allometric scaling in regional gross domestic production (GDP) and population density. A new network model demonstrates tunable scaling exponents, offering insights into urban and regional dynamics.

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Area of Science:

Urban studies
Regional science
Network theory

Background:

Previous research established allometric scaling universality at the city level for total and density values.
Understanding regional size effects on allometric scaling universality remains limited.

Purpose of the Study:

To investigate the universality of allometric scaling in different regions using gross domestic production (GDP) and population data.
To develop a model explaining the observed scaling behaviors and their tunable parameters.

Main Methods:

Revisiting scaling relations between GDP and population based on total and density values.
Proposing a network model on a 2D lattice with a spatial correlation factor (α).
Conducting numerical experiments to validate the model's predictions.

Main Results:

Allometric scaling under density values for different regions is demonstrated to be universal.
The scaling exponent (β) for density values unexpectedly exceeds the previously observed range, falling between (1.0, 2.0].
The proposed network model successfully tunes the scaling exponent (β) via the spatial correlation factor (α).

Conclusions:

Regional allometric scaling of GDP and population density exhibits universality.
The novel network model provides a tunable platform for understanding urban and regional scaling phenomena.
This work expands the scope of allometric scaling studies to a regional level.