Earthquake sequences modeled as a multi-dimensional stochastic point process show a significant change of the time rate of earthquake clustering around 60- to 70-km depth. Sequences in the depth range, 70 to 140 km, have a rate of clustering that is smaller by a factor of about 10 compared with shallow earthquakes. The branching rate for events deeper than 140 km is at least 10 times smaller than the rate for shallow earthquakes; this rate may be close to zero. These results are consistent with models of time- and space-rate processes that are scale-independent.

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