Singularity cities
Bibliographic Data
| ID | 21247045 |
|---|---|
| Authors | Yunfei Li (0000-0002-0542-4641, Potsdam Institute for Climate Impact Research), Diego Rybski (0000-0001-6125-7705, Leibniz Association, corresponding author), Jürgen P Kropp (0000-0001-7791-3420, University of Potsdam) |
| Year | 2021 |
| Volume | 48 |
| Issue | 1 |
| Pages | 43-59 |
| Publication date | 2021-01-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Environment and Planning B Urban Analytics and City Science (JOURNAL) |
| Journal identifiers | ISSN: 2399-8083 • E-ISSN: 2399-8091 |
| Publisher | SAGE Publications (PUBLISHER • US) |
| DOI | 10.1177/2399808319843534 |
| OpenAlex | W4240902643 |
| Language | EN |
| Citations received | 6 |
| References cited | 49 |
We propose an upgraded gravitational model which provides population counts beyond the binary (urban/non-urban) city simulations. Numerically studying the model output, we find that the radial population density gradients follow power-laws where the exponent is related to the preset gravity exponent γ . Similarly, the urban fraction decays exponentially, again determined by γ . The population density gradient can be related to radial fractality and it turns out that the typical exponents imply that cities are basically zero-dimensional. Increasing the gravity exponent leads to extreme compactness and the loss of radial symmetry. We study the shape of the major central cluster by means of another three fractal dimensions and find that overall its fractality is dominated by the size and the influence of γ is minor. The fundamental allometry, between population and area of the major central cluster, is related to the gravity exponent but restricted to the case of higher densities in large cities. We argue that cities are shaped by power-law proximity. We complement the numerical analysis by economics arguments employing travel costs as well as housing rent determined by supply and demand. Our work contributes to the understanding of gravitational effects, radial gradients, and urban morphology. The model allows to generate and investigate city structures under laboratory conditions
Classical mechanics · Exponent · Fractal · Geometry · Gravitation · Mathematical analysis · Physics · Population · Power law · Singularity · Statistical physics · Statistics · Thermodynamics · Computer Science · Demography · Human Mobility and Location-Based Analysis · Land Use and Ecosystem Services · Mathematics · Urban Design and Spatial Analysis
On the influence of density and morphology on the Urban Heat Island intensity
Semantic similarities between personality, identity, character, and singularity within the context of the city or urban, neighbourhood, and place in urban planning and design
Quantitative evidence for leapfrogging in urban growth
How buildings change the fundamental allometry
Geovisualization of artificial land use in European cities in 2018, with urban scaling laws
Scaling urban complexities and their influence on accessibility and spatial resilience
The New Science of Cities
The Area and Population of Cities
The role of city size and urban form in the surface urban heat island
Would You Be Happier If You Were Richer? A Focusing Illusion
Urban scaling in Europe
An Historical Review of the Gravity and Potential Concepts of Human Interaction
Laws of population growth
Evidence for the homothetic scaling of urban forms
Cities as nuclei of sustainability
Spatially explicit global population scenarios consistent with the Shared Socioeconomic Pathways
The exaggerated death of geography
Diffusion-limited aggregation and the fractal nature of urban growth
Urban Allometric Growth
Form Follows Function
Demographic Gravitation
Built-Up Encroachment and the Urban Field
The P 1 P 2 D Hypothesis
Urban Growth and Form
Power Laws in Economics
| Unique citing works | 6 |
|---|---|
| Citations per year | 1 |
| Citation span | 2020 - 2026 (7) |
| Citation velocity | current |
| Highly cited | No |
| Citation types | Neutral: 6 |