Box-counting technique

Walsh, J. J. Watterson, J. 1993, Fractal analysis of fracture patterns using the standard box-counting technique valid and invalid methodologies. Journal of Structural Geology 15(12) 1509 1512... 

By this technique, the degree of association can be pictorially presented. The number of counts in each box will depend on the cutoff points between good and poor stability, and between the low and high levels of contaminants. These can be varied to investigate the effect of changing special limits and levels of control. 

In reality, this is not possible because we never have a stationary and known concentration profile (if so, why simulate it ). However, a spreading function can still help. If well chosen, it can not only improve accuracy near the electrode where it counts but substantially reduce the number of concentration points as well. Joslin and Fletcher (1974) found that, for the same accuracy as the standard box method, this technique can reduce computing time by up to a factor 100 - a worthwhile saving. Even a more modest factor of 10 would be nice. 

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