Dresden 2026 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 6: Mobility, Traffic Dynamics, Urban and Regional Systems
SOE 6.1: Talk
Tuesday, March 10, 2026, 10:45–11:00, GÖR/0226
Percolation on the ``urban influence" field: analyzing Europe's urban fabric — •Renan Lucas Fagundes1 and Diego Rybski1,2 — 1IOER, Dresden — 2CSH, Vienna
We investigate the connectivity of urban settlements using the concept of level-set percolation (LSP). Therefore, we introduce a notion of urban influence, quantifying the impact of the presence of urban settlements in their surroundings. To be specific, we define a power-law field over the urban settlements in Europe in 2018. This field can be understood in a similar fashion as 2D Gaussian Random Field but with a power-law. We find a relationship between the level where the second largest cluster reaches a maximum -- an indicator of the percolation transition -- and the imposed field-exponent. The exponential slope of the relation correlates with the size of the country. We speculate that the critical behavior of the field is being driven by the spatial organization of the urban structure.
Keywords: level-set percolation; urban phenomena; long-range correlation