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}
}
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85 Citations
Highly Influential Citations
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Background Citations
41
Methods Citations
31
Results Citations
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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.