Nonlinear Time Series Analysis in the Geosciences

1. Front Matter

   Pages I-XIV

   PDF

2. Applications in Climatology and Atmospheric Sciences

   1. Front Matter

      Pages 1-1

      PDF

   2. Subsampling Methodology for the Analysis of Nonlinear Atmospheric Time Series

      • Alexander Gluhovsky

      Pages 3-16

   3. Global Patterns of Nonlinearity in Real and GCM-Simulated Atmospheric Data

      • Jiří Mikšovský, Petr Pišoft, Aleš Raidl

      Pages 17-34

   4. Prediction of Extreme Events

      • Sarah Hallerberg, Jochen Bröcker, Holger Kantz

      Pages 35-59

   5. Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview

      • Donald B. Percival

      Pages 61-79

   6. Automatic Parameter Estimation in a Mesoscale Model Without Ensembles

      • Gregory S. Duane, Joshua P. Hacker

      Pages 81-95

   7. Towards Robust Nonlinear Multivariate Analysis by Neural Network Methods

      • William W. Hsieh, Alex J. Cannon

      Pages 97-124

   8. Complexity of Spatio-Temporal Correlations in Japanese Air Temperature Records

      • Reik Donner, Takahide Sakamoto, Noboru Tanizuka

      Pages 125-154

3. Applications in Oceanography and Seismology

   1. Front Matter

      Pages 155-155

      PDF

   2. Time Series Analysis of Sea-Level Records: Characterising Long-Term Variability

      • Susana M. Barbosa, Maria Eduarda Silva, Maria Joana Fernandes

      Pages 157-173

   3. Empirical Global Ocean Tide and Mean Sea Level Modeling Using Satellite Altimetry Data Case Study: A New Empirical Global Ocean Tide and Mean Sea Level Model Based on Jason-1 Satellite Altimetry Observations

      • Alireza A. Ardalan, Hassan Hashemi

      Pages 175-221

   4. Fourier, Scattering, and Wavelet Transforms: Applications to Internal Gravity Waves with Comparisons to Linear Tidal Data

      • James A. Hawkins, Alex Warn-Varnas, Ivan Christov

      Pages 223-244

   5. Crustal Deformation Models and Time-Frequency Analysis of GPS Data from Deception Island Volcano (South Shetland Islands, Antarctica)

      • María Eva Ramírez, Manuel Berrocoso, María José González, Alberto Fernández

      Pages 245-272

   6. Describing Seismic Pattern Dynamics by Means of Ising Cellular Automata

      • Abigail Jiménez, Antonio M. Posadas, Kristy F. Tiampo

      Pages 273-290

4. Applications in Solar-Terrestrial Physics

   1. Front Matter

      Pages 291-291

      PDF

   2. Template Analysis of the Hide, Skeldon, Acheson Dynamo

      • Irene M. Moroz

      Pages 293-309

   3. Methods to Detect Solitons in Geophysical Signals: The Case of the Derivative Nonlinear Schrödinger Equation

      • Nikolay G. Mazur, Viacheslav A. Pilipenko, Karl-Heinz Glassmeier

      Pages 311-326

   4. Detecting Oscillations Hidden in Noise: Common Cycles in Atmospheric, Geomagnetic and Solar Data

      • Milan Paluš, Dagmar Novotná

      Pages 327-353

   5. Phase Coherence Analysis of Decadal-Scale Sunspot Activity on Both Solar Hemispheres

      • Reik Donner

      Pages 355-385

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.

• Climatology
• Deformation
• Geosciences
• Nonlinear time series analysis
• Observational data
• Scale
• Simulation
• Tide
• geoscience
• satellite
• temperature

• TU Dresden Institut für Wirtschaft und Verkehr, Germany

  Reik V. Donner

• Depto. Matematica Aplicada, Universidade do Porto Fac. Ciencias, Portugal

  Susana M. Barbosa

Policies and ethics