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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 4: Urban systems, Scaling, and Social Systems

SOE 4.1: Hauptvortrag

Dienstag, 18. März 2025, 09:30–10:00, H45

Urban scaling and conflicting goals — •Diego Rybski — Institute of Ecological Urban and Regional Development (IOER) — Complexity Science Hub (CSH)

Urban scaling, the power-law correlations between an urban indicator and city population, represents the most famous theme of contemporary urban science. The vast majority of publications on the topic empirically quantify the scaling properties for given indicators and countries. Other work is dedicated to mathematically explaining the non-linear scaling based on few but plausible assumptions. In this contribution, two approaches to urban scaling are discussed in the context of conflicting goals. First, we compare cities in terms of emitted carbon emissions vs. heat island intensity. We derive a theoretical solution, but we find that empirical parameters do not allow for any optimal size. Instead, the fundamental allometry between area and population should represent an optimum. Thus, second, we propose a simple model that leads to an optimum in the form of the fundamental allometry. Although many cities are challenged, it makes sense that some sort of optimization takes place, which should also be reflected in observed scaling.

Keywords: Lagrange Multiplier; Attraction; Repulsion