Journal
ACTA BIOTHEORETICA
Volume 57, Issue 3, Pages 349-360Publisher
SPRINGER
DOI: 10.1007/s10441-009-9069-x
Keywords
AWMSI; Fractal dimension; Landscape metrics; Landscape pattern; MSI; Shape index
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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.
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