Working Paper Communication Version 2 This version is not peer-reviewed

Investigation of Clustering in Turing Patterns to Describe the Spatial Relations of Slums

Version 1 : Received: 11 July 2020 / Approved: 12 July 2020 / Online: 12 July 2020 (11:31:00 CEST)
Version 2 : Received: 17 August 2020 / Approved: 20 August 2020 / Online: 20 August 2020 (09:14:32 CEST)

How to cite: Hartig, J.; Friesen, J.; Pelz, P.F. Investigation of Clustering in Turing Patterns to Describe the Spatial Relations of Slums. Preprints 2020, 2020070249 Hartig, J.; Friesen, J.; Pelz, P.F. Investigation of Clustering in Turing Patterns to Describe the Spatial Relations of Slums. Preprints 2020, 2020070249

Abstract

Worldwide, about one in eight people live in slums. Empirical studies based on satellite data have identified that the size distributions of this type of settlement are similar in different cities of the Global South. Based on these results, we developed a model describing the formation of slums with a Turing mechanism, in which patterns are created by diffusion-driven instability and the inherent characteristic length of the system is independent of boundary conditions. We examine the model in this paper by critically reflecting its assumptions, comparing them with recent empirical observations and discussing possible adjustments and future extensions based on new methods of identifying pattern formation mechanisms.

Subject Areas

slums; informal settlements; bifurcation; Turing pattern

Comments (1)

Comment 1
Received: 20 August 2020
Commenter: John Friesen
Commenter's Conflict of Interests: Author
Comment: We went through the paper and completely revised the structure.
We go (i) intensively into the terms used such as "slums" etc. Furthermore (ii) we discuss the investigated model, its assumptions and possible adjustments at different levels. We have removed our own simulation results from the first publication, as they do not provide significant added value in the context of the literature now under discussion.
Finally, taking into account recent literature, we show how possible mechanisms of the formation of morphological slums could be identified by image analysis.
These fundamental adjustments lead to the fact that we now refer to the publication as communication and not as an article.

We would like to thank the anonymous reviewer for his very critical but at the same time very helpful hints, which contributed significantly to the improvement of the publication.

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