The Korcak-exponent: A non-fractal descriptor for landscape patchiness

In this short paper we introduce a proper method to perform Korcak-analysis and obtain the correct Korcak-exponent on a set of patches, embedded into two-dimensions. Both artificial and natural data sets are used for the demonstration. The independence of the Korcak-exponent from the classical (Hausdorff) fractal dimension is also demonstrated.

► A novel, bias-free version of the Korcak-analysis has been proposed to describe area-distributions.
► The lakes and reservoirs on the Isle of Man was used as a natural example to show the advantage of the new method over the traditional Korcak-analysis.
► A counter-example was given to show that the Hausdorff fractal dimension and the Korcak-dimension are not related; therefore the Korcak-exponent should be used as a non-fractal descriptor.