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Ht-index for quantifying the fractal or scaling structure of geographic features
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Industrial Development, IT and Land Management.ORCID iD: 0000-0002-2337-2486
2014 (English)In: Annals of the Association of American Geographers, ISSN 0004-5608, E-ISSN 1467-8306, Vol. 104, no 3, 530-541 p.Article in journal (Refereed) Published
Abstract [en]

Although geographic features, such as mountains and coastlines, are fractal, some studies have claimed that the fractal property is not universal. This claim, which is dubious, is mainly attributed to the strict definition of fractal dimension as a measure or index for characterizing the complexity of fractals. In this article, we propose an alternative, ht-index, to quantify the fractal or scaling structure of geographic features. A geographic feature has ht-index (h) if the pattern of far more small things than large ones recurs (h - 1) times at different scales. The higher the ht-index, the more complex the geographic feature. We conduct three case studies to illustrate how the computed ht-indexes capture the complexity of different geographic features. We further discuss 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.

Place, publisher, year, edition, pages
2014. Vol. 104, no 3, 530-541 p.
Keyword [en]
fractal dimension; head/tail breaks; nested rank-size plots; Richardson plot; scaling of geographic space
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:hig:diva-15237DOI: 10.1080/00045608.2013.834239ISI: 000335119400007Scopus ID: 2-s2.0-84899906169OAI: oai:DiVA.org:hig-15237DiVA: diva2:648075
Available from: 2013-09-13 Created: 2013-09-13 Last updated: 2015-12-11Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf