85 Citations
CHAPTER 13 Head / tail Breaks for Visualization of City Structure and Dynamics
- Environmental Science
- 2016
The things surrounding us vary dramatically, which implies that there are far more small things than large ones, e.g., far more small cities than large ones in the world. This dramatic variation is…
Why topology matters in predicting human activities
- Computer ScienceEnvironment and Planning B: Urban Analytics and City Science
- 2018
It is found that natural streets are the best representation in terms of human activities or traffic prediction, followed by axial lines, and that neither street segments nor line segments bear a good correlation between network parameters and tweet locations.
Spatial Distribution of City Tweets and Their Densities
- HistoryUrban Remote Sensing
- 2021
Social media outlets such as Twitter constitute valuable data sources for understanding human activities in the virtual world from a geographic perspective. This article examines spatial distribution…
Wholeness as a hierarchical graph to capture the nature of space
- ArtInt. J. Geogr. Inf. Sci.
- 2015
This paper defines wholeness as a hierarchical graph, in which individual centers are represented as the nodes and their relationships as the directed links, and suggests that the hierarchical levels, or the ht-index of the PR scores induced by the head/tail breaks, can characterize the degree of wholleness for the whole.
A Smooth Curve as a Fractal under the Third Definition
- Mathematics, Computer ScienceCartogr. Int. J. Geogr. Inf. Geovisualization
- 2018
This article demonstrates that a smooth curve can be fractal, under a new, relaxed, third definition of fractal – a set or pattern is fractal if the scaling of far more small things than large ones recurs at least twice.
Natural Cities Generated from All Building Locations in America
- HistoryData
- 2019
Authorities define cities—or human settlements in general—through imposing top-down rules in terms of whether buildings belong to cities. Emerging geospatial big data makes it possible to define…
A Socio-geographic Perspective on Human Activities in Social Media
- Computer Science
- 2016
It is found that users' check-in patterns are heterogeneous at both the individual and collective levels, and the node degree of the networks correlates highly with the population at locations or cities, indicating that the geographic distributions of the social media users relate highly to their online social connections.
Multifractal scaling analyses of urban street network structure: The cases of twelve megacities in China.
- PhysicsPloS one
- 2021
It is shown that the patterns of traffic networks take on characteristics of spatial concentration, but they also show the implied trend of spatial deconcentration, and the development space of central area and network intensive areas is limited, while the fringe zone and network sparse areas show the phenomenon of disordered evolution.
A Topological Representation for Taking Cities as a Coherent Whole
- Computer ScienceThe Mathematics of Urban Morphology
- 2019
A geographic representation that views cities as a whole is developed, which fundamentally differs from existing geometry-based geographic representations and can be applied to any design or pattern, such as carpets, Baroque architecture and artifacts, and fractals in order to assess their beauty.
A Fractal Perspective on Scale in Geography
- GeologyISPRS Int. J. Geo Inf.
- 2016
It is argued that one of the two spatial properties, spatial heterogeneity, is de facto the fractal nature of geographic features, and it should be considered the first effect among the two, because it is global and universal across all scales, which should receive more attention from practitioners of geography.
References
SHOWING 1-10 OF 34 REFERENCES
The fractal nature of maps and mapping
- PhysicsInt. J. Geogr. Inf. Sci.
- 2015
This article demonstrates that fractal thought is rooted in long-standing map-making practices such as series maps subdivision, visual hierarchy, and Töpfer’s radical law.
Scaling of geographic space from the perspective of city and field blocks and using volunteered geographic information
- GeographyInt. J. Geogr. Inf. Sci.
- 2012
An analogy between a country and a city (or a city or geographic space in general) and a complex organism like the human body or the human brain is drawn to further elaborate on the power of this block perspective in reflecting the structure or patterns of geographic space.
Ht-Index for Quantifying the Fractal or Scaling Structure of Geographic Features
- Sociology
- 2013
This article proposes an alternative, ht-index, to quantify the fractal or scaling structure of geographic features, and discusses how hT-index is complementary to fractal dimension and elaborate on a dynamic view behind ht -index that enables better understanding of geographic forms and processes.
Geospatial analysis requires a different way of thinking: the problem of spatial heterogeneity
- Economics
- 2015
Geospatial analysis is very much dominated by a Gaussian way of thinking, which assumes that things in the world can be characterized by a well-defined mean, i.e., things are more or less similar in…
A New Kind of Beauty Out of the Underlying Scaling of Geographic Space
- Art
- 2014
Geographic space demonstrates scaling or hierarchy, implying that there are far more small things than large ones. The scaling pattern of geographic space, if visualized properly (i.e., based on the…
Head/Tail Breaks: A New Classification Scheme for Data with a Heavy-Tailed Distribution
- Environmental Science
- 2012
This article introduces a new classification scheme—head/tail breaks—to find groupings or hierarchy for data with a heavy-tailed distribution. The heavy-tailed distributions are heavily right skewed,…
Zipf’s law for all the natural cities around the world
- PhysicsInt. J. Geogr. Inf. Sci.
- 2015
It is found that Zipf’s law holds remarkably well for all natural cities at the global level, and it remains almost valid at the continental level except for Africa at certain time instants.
What is Twitter, a social network or a news media?
- Computer ScienceWWW '10
- 2010
This work is the first quantitative study on the entire Twittersphere and information diffusion on it and finds a non-power-law follower distribution, a short effective diameter, and low reciprocity, which all mark a deviation from known characteristics of human social networks.
Power laws, Pareto distributions and Zipf's law
- Physics
- 2005
When the probability of measuring a particular value of some quantity varies inversely as a power of that value, the quantity is said to follow a power law, also known variously as Zipf's law or the…
Complex adaptive systems - an introduction to computational models of social life
- PhysicsPrinceton studies in complexity
- 2007
This book is not a textbook, but rather an essay on complex adaptive systems, and the best method to discover their properties is to dispatch many computer agents to experience the system’s possibilities.