A partition‐free spatial clustering that preserves topology: application to built‐up density

Gaëtan Montero, Geoffrey Caruso, Mohamed Hilal and Isabelle Thomas
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Gaëtan Montero: Université catholique de Louvain, LIDAM/CORE, Belgium

No 3210, LIDAM Reprints CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: Urban density is central to urban research and planning and can be defined in numer- ous ways. Most measures of urban density however are biased by arbitrary chosen spatial units at their denominator and ignore the relative location of elementary urban objects within those units. We solve these two problems by proposing a new graph-based density index which we apply to the case of buildings in Belgium. The method includes two main steps. First, a graph-based spatial descending hierarchical clustering (SDHC) delineates clusters of buildings with homogeneous inter-building distances. A Moran scatterplot and a maximum Cook’s distance are used to prune the minimum spanning tree at each iteration of the SDHC. Second, within each clus- ter, the ratio of the number of buildings to the sum of inter-building distances is cal- culated. This density of buildings is thus defined independently of the definition of any basic spatial unit and preserves the built-up topology, i.e. the relative position of buildings. The method is parsimonious in parameters and can easily be transferred to other punctual objects or extended to account for additional attributes.

Keywords: Density; Topology; Graph; Moran scatterplot; Buildings (search for similar items in EconPapers)
JEL-codes: C49 O18 O21 R00 R14 (search for similar items in EconPapers)
Pages: 31
Date: 2022-10-07
Note: In: Journal of Geographical Systems, 2022
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Journal Article: A partition-free spatial clustering that preserves topology: application to built-up density (2023)
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Persistent link: https://EconPapers.repec.org/RePEc:cor:louvrp:3210

DOI: 10.1007/s10109-022-00396-4

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