Self-Affine Time Series: II. Applications and Models

Publisher Summary This chapter focuses on the applications and models of self-affine time series. The chapter presents the stochastic component of time series associated with complex phenomena that can have considerable order and, in particular, exhibit self-affine behavior. One of the applications considered is the natural variability of climate. On short time scales, atmospheric temperature observations exhibit deterministic daily and yearly periodicities. The studies of the stochastic variability of climate are important in a variety of ways. They provide an important test of the validity of global circulation models (GCMs). The second application considered is porosity variations in sedimentary basins. A model developed for the growth of atomic surface layers is modified so that it is applicable to the spatial and temporal variations in deposition and erosion. The third application considered is the variability of the earth's magnetic field. The field exhibits a binormal behavior and when a fluctuation crosses the zero intensity value a reversal occurs.

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