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. RI Rocchini, Duccio/B-6742-2011; Imre, Attila/E-9016-2011

Explicitly Accounting for Pixel Dimension in Calculating Classical and Fractal Landscape Shape Metrics / Imre, A. R.; Rocchini, D.. - In: ACTA BIOTHEORETICA. - ISSN 0001-5342. - 57:3(2009), pp. 349-360. [10.1007/s10441-009-9069-x]

Explicitly Accounting for Pixel Dimension in Calculating Classical and Fractal Landscape Shape Metrics

Rocchini D.
2009-01-01

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. RI Rocchini, Duccio/B-6742-2011; Imre, Attila/E-9016-2011
2009
3
Imre, A. R.; Rocchini, D.
Explicitly Accounting for Pixel Dimension in Calculating Classical and Fractal Landscape Shape Metrics / Imre, A. R.; Rocchini, D.. - In: ACTA BIOTHEORETICA. - ISSN 0001-5342. - 57:3(2009), pp. 349-360. [10.1007/s10441-009-9069-x]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/198098
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