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. - STAMPA. - 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
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-9016-2011I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
