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Nonlinear Time Series Analysis in the Geosciences - Applications in Climatology, Geodynamics and Solar-Terrestrial Physics (Hardcover, 2008 ed.)
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Nonlinear Time Series Analysis in the Geosciences - Applications in Climatology, Geodynamics and Solar-Terrestrial Physics (Hardcover, 2008 ed.)
Series: Lecture Notes in Earth Sciences, 112
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The enormous progress over the last decades in our understanding of
the mechanisms behind the complex system "Earth" is to a large
extent based on the availability of enlarged data sets and
sophisticated methods for their analysis. Univariate as well as
multivariate time series are a particular class of such data which
are of special importance for studying the dynamical p- cesses in
complex systems. Time series analysis theory and applications in
geo- and astrophysics have always been mutually stimulating,
starting with classical (linear) problems like the proper
estimation of power spectra, which
hasbeenputforwardbyUdnyYule(studyingthefeaturesofsunspotactivity)
and, later, by John Tukey. In the second half of the 20th century,
more and more evidence has been accumulated that most processes in
nature are intrinsically non-linear and thus cannot be su?ciently
studied by linear statistical methods. With mat- matical
developments in the ?elds of dynamic system's theory, exempli?ed by
Edward Lorenz's pioneering work, and fractal theory, starting with
the early fractal concepts inferred by Harold Edwin Hurst from the
analysis of geoph- ical time series, nonlinear methods became
available for time seriesanalysis as well. Over the last decades,
these methods have attracted an increasing int- est in various
branches of the earth sciences. The world's leading associations of
geoscientists, the American Geophysical Union (AGU) and the
European Geosciences Union (EGU) have reacted to these trends with
the formation of special nonlinear focus groups and topical
sections, which are actively present at the corresponding annual
assemblies.
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