We review these applications and discuss the usefulness and limitations of fractal analysis to these types of problems in the earth sciences.
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We discuss possible reasons for these differences, and point to common problems shared by all of the methods, including the remainder problem, curve-fitting, orientation of the measurement plane, size and direction of the sample. We review these seven measurement techniques, finding that fractal dimensions may vary systematically with measurement method. Earth scientists have measured fractal dimensions of surfaces by different techniques, including the divider, box, triangle, slit-island, power spectral, variogram and distribution methods.