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On the Relationship of Ice Pack Thickness to the Length of Connectivity Trees in SAR Imagery

Author(s): Bryan Kerman

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Abstract: It is shown that the probability distributions of sea ice thickness and the length of connectivity trees in SAR imagery are both of a negative exponential form. It is argued that the physical process which creates organized spatial variability in the imagery also is responsible for the creation of structured variability in the ice thickness. Simple statistical models for both the generation of the thickness and connectivity processes are proposed. A relationship is derived for the depth of ice, z, at a point of a given ice type, in the form [equation] where A is the length of the tree emanating from that point, d and L are the e-folding lengths of the thickness and tree distributions and Zo is the minimum depth ascribed to one of the three ice types -first year, multi-year and ridged ice - characterized in this way.

DOI:

Year: 1998

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