Settlement percolation: global maps of Critical Distances
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arXiv
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| Format: | Preprint |
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2026
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| author | Schorcht, Martin Behnisch, Martin Beumer, Larissa T. Brenner, Anna-Katharina Fagundes, Renan L. Krüger, Tobias Müller, Thomas Xu, Wenjing Rybski, Diego |
| author_facet | Schorcht, Martin Behnisch, Martin Beumer, Larissa T. Brenner, Anna-Katharina Fagundes, Renan L. Krüger, Tobias Müller, Thomas Xu, Wenjing Rybski, Diego |
| contents | A substantial share of the Earth's land surface is managed by humans, with cities representing the most extreme form of anthropogenic land use. There are zillion ways in which settlements can be arranged across a given area, and their specific spatial configuration has important consequences for both urban systems and the natural environment. Here, we introduce a novel approach to characterizing settlement configuration by systematically quantifying it in terms of a transition resembling percolation -- that is, by identifying the critical distance at which isolated settlements merge into a giant, overarching settlement cluster. We estimate this critical distance across multiple spatial scales and units, including national and subnational levels, non-overlapping tiles, and moving windows, covering the entire globe. The critical distance provides an independent measure of settlement connectivity and thus adds value to spatial analyses of settlement structure and its social, economic, and ecological impacts. Accordingly, our Global Settlement Percolation (GSP) dataset is relevant to a wide range of research communities, including those studying urban morphology, land-use patterns, and landscape ecology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04439 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Settlement percolation: global maps of Critical Distances Schorcht, Martin Behnisch, Martin Beumer, Larissa T. Brenner, Anna-Katharina Fagundes, Renan L. Krüger, Tobias Müller, Thomas Xu, Wenjing Rybski, Diego Physics and Society Data Analysis, Statistics and Probability A substantial share of the Earth's land surface is managed by humans, with cities representing the most extreme form of anthropogenic land use. There are zillion ways in which settlements can be arranged across a given area, and their specific spatial configuration has important consequences for both urban systems and the natural environment. Here, we introduce a novel approach to characterizing settlement configuration by systematically quantifying it in terms of a transition resembling percolation -- that is, by identifying the critical distance at which isolated settlements merge into a giant, overarching settlement cluster. We estimate this critical distance across multiple spatial scales and units, including national and subnational levels, non-overlapping tiles, and moving windows, covering the entire globe. The critical distance provides an independent measure of settlement connectivity and thus adds value to spatial analyses of settlement structure and its social, economic, and ecological impacts. Accordingly, our Global Settlement Percolation (GSP) dataset is relevant to a wide range of research communities, including those studying urban morphology, land-use patterns, and landscape ecology. |
| title | Settlement percolation: global maps of Critical Distances |
| topic | Physics and Society Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2603.04439 |