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In serial correlation,
also known as
autocorrelation, a
measure is correlated
with later values of
itself. This allows one
to determine how
much, for example,
population of Egypt
in 1980 influences
population of Egypt
in 1981, 1982, 1983...
The mild but not weak
correlation indicates
that fore and
aftershocks are not a
powerful factor for
predicting the next
earthquake.  
This autocorrelation calculation was done on the entire sample, so no
accounting for clusters. There are more detailed discussions of serial
correlation of earthquakes in general and the Japanese 2011 events at
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