Explicitly accounting for pixel dimension in calculating classical and fractal landscape shape metrics

A. Imre, Duccio Rocchini

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Different summarized shape indices, like mean shape index (MSI) and area weighted mean shape index (AWMSI) can change over multiple size scales. This variation is important to describe scale heterogeneity of landscapes, but the exact mathematical form of the dependence is rarely known. In this paper, the use of fractal geometry (by the perimeter and area Hausdorff dimensions) made us able to describe the scale dependence of these indices. Moreover, we showed how fractal dimensions can be deducted from existing MSI and AWMSI data. In this way, the equality of a multiscale tabulated MSI and AWMSI dataset and two scale-invariant fractal dimensions has been demonstrated.

Original languageEnglish
Pages (from-to)349-360
Number of pages12
JournalActa Biotheoretica
Volume57
Issue number3
DOIs
Publication statusPublished - Aug 2009

Fingerprint

Fractals
Fractal dimension
Fractal
pixel
Pixel
Pixels
Metric
Weighted Mean
fractal dimensions
Geometry
Fractal Dimension
Fractal Geometry
index
Scale Invariant
Perimeter
Hausdorff Dimension
Equality
geometry

Keywords

  • AWMSI
  • Fractal dimension
  • Landscape metrics
  • Landscape pattern
  • MSI
  • Shape index

ASJC Scopus subject areas

  • Philosophy
  • Applied Mathematics
  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)

Cite this

Explicitly accounting for pixel dimension in calculating classical and fractal landscape shape metrics. / Imre, A.; Rocchini, Duccio.

In: Acta Biotheoretica, Vol. 57, No. 3, 08.2009, p. 349-360.

Research output: Contribution to journalArticle

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