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  Modeling urban morphology by unifying Diffusion-Limited Aggregation and Stochastic Gravitation

Rybski, D., Li, Y., Born, S., Kropp, J. P. (2021): Modeling urban morphology by unifying Diffusion-Limited Aggregation and Stochastic Gravitation. - Findings, 22296.
https://doi.org/10.32866/001c.22296

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Item Permalink: https://publications.pik-potsdam.de/pubman/item/item_25537 Version Permalink: https://publications.pik-potsdam.de/pubman/item/item_25537_4
Genre: Journal Article

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 Creators:
Rybski, Diego1, Author              
Li, Yunfei1, Author              
Born, Stefan2, Author
Kropp, Jürgen P.1, Author              
Affiliations:
1Potsdam Institute for Climate Impact Research, ou_persistent13              
2External Organizations, ou_persistent22              

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 Abstract: More than 30 years ago, Diffusion-Limited Aggregation (DLA) has been studied as mechanism to generate structures sharing similarities with real-world cities. Recently, a stochastic gravitation model (SGM) has been proposed for the same purpose but representing a completely different mechanism. Both approaches have advantages and disadvantages, while e.g. the dendrites emerging via DLA are visually very different from real-world cities, the SGM does not preserve undeveloped locations close to the city center. Here we propose a unification of both mechanisms, i.e. a particle moves randomly and turns into an urban site with a probability that depends on the proximity to already developed sites. We study the cluster size distributions of the structures generated by both models and find that SGM generates more balanced distributions. We also propose a way to assess to which extent the largest cluster is a primate city and find that in both models, beyond certain parameter value, the size of the largest cluster becomes inconsistent with being drawn from the same distribution of remaining clusters.

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Language(s): eng - English
 Dates: 2021-04-202021-06-072021-06
 Publication Status: Finally published
 Pages: 8
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: PIKDOMAIN: RD2 - Climate Resilience
MDB-ID: yes - 3176
Working Group: Urban Transformations
Organisational keyword: RD2 - Climate Resilience
DOI: 10.32866/001c.22296
OATYPE: Gold Open Access
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Title: Findings
Source Genre: Journal, other, oa
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Pages: - Volume / Issue: - Sequence Number: 22296 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/urban-findings
Publisher: Findings Press