Mathematics – Probability
Scientific paper
Feb 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992georl..19..333a&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 19, Feb. 21, 1992, p. 333-336.
Mathematics
Probability
43
Earth Crust, Fractals, Geodynamics, Power Spectra, Probability Density Functions, Stochastic Processes, Temporal Distribution
Scientific paper
The power spectra of many geophysical phenomena are well approximated by a power-law dependence on frequency or wavenumber. A simple expression for the root-mean-square variability of a process with such a spectrum over an interval of time or space is derived. The resulting expression yields the powerlaw time dependence characteristic of fractal processes, but can be generalized to give the temporal variability for more general spectral behaviors. The method is applied to spectra of crustal strain (to show what size of strain events can be detected over periods of months to seconds) and of sea level (to show the difficulty of extracting long-term rates from short records).
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