Time-series analysis is used to identify and quantify periodic
features in datasets and has many applications across the
geosciences, from analysing weather data, to solid-Earth
geophysical modelling. This intuitive introduction provides a
practical 'how-to' guide to basic Fourier theory, with a particular
focus on Earth system applications. The book starts with a
discussion of statistical correlation, before introducing Fourier
series and building to the fast Fourier transform (FFT) and related
periodogram techniques. The theory is illustrated with numerous
worked examples using R datasets, from Milankovitch orbital-forcing
cycles to tidal harmonics and exoplanet orbital periods. These
examples highlight the key concepts and encourage readers to
investigate more advanced time-series techniques. The book
concludes with a consideration of statistical effect size and
significance. This useful book is ideal for graduate students and
researchers in the Earth system sciences who are looking for an
accessible introduction to time-series analysis.
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