Head/tail Breaks for Visualization of City Structure and Dynamics

@inproceedings{Jiang2015HeadtailBF,
  title={Head/tail Breaks for Visualization of City Structure and Dynamics},
  author={Bin Jiang},
  year={2015}
}

Figures and Tables from this paper

CHAPTER 13 Head / tail Breaks for Visualization of City Structure and Dynamics

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

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.

Geographic space as a living structure for predicting human activities using big data

It is found that tweet locations at different levels of scale, such as country and city, can be well predicted by the underlying living structure, and it is argued that the topological representation is a truly multiscale representation.

Spatial Distribution of City Tweets and Their Densities

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

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

  • Ding MaB. Jiang
  • Mathematics, Computer Science
    Cartogr. 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

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

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.

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

  • B. Jiang
  • Computer Science
    The 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.
...

References

SHOWING 1-10 OF 34 REFERENCES

The fractal nature of maps and mapping

  • B. Jiang
  • Physics
    Int. 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

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

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

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

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

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

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?

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

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

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.