Journal : Acta Geophysica
Article : Long-term correlations in earth sciences

Authors :
Vallianatos, F.
Technological Educational Institute of Crete, Laboratory of Geophysics and Seismology, Crete, Greece,,
Tsallis, C.
Centro Brasileiro de Pesquisas Fisicas and National Institute of Science and Technology for Complex Systems, Rio de Janeiro, Brazil,,
Sotolongo-Costa, O.
Catedra de Sistemas Complejos “Henri Poincare”, Universidad de La Habana,,
Celikoglu, A.
Department of Physics, Faculty of Science, Ege University, Izmir, Turkey,,
Abe, S.
Department of Physical Engineering, Mie University, Mie, Japan,,
Bunde, A.
Institut fur Theoretische Physik, Giessen, Germany,,
Abstract : In this article we review the occurrence and consequences of longterm memory in geophysical records like climate and seismic records, and describe similarities with financial data sets. We review several methods to detect linear and nonlinear long-term correlations, also in the presence of external trends, and show how external trends can be detected in data with long-term memory. We show as well that long-term correlations lead to a natural clustering of extreme events and discuss the implications for several geophysical data sets.

Keywords : long-term correlations, extreme values, multi-fractality, trend detection,
Publishing house : Instytut Geofizyki PAN
Publication date : 2012
Number : Vol. 60, no. 3
Page : 562 – 588

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Qute : Vallianatos, F. ,Tsallis, C. ,Sotolongo-Costa, O. ,Celikoglu, A. ,Abe, S. ,Bunde, A. ,Bunde, A. , Long-term correlations in earth sciences. Acta Geophysica Vol. 60, no. 3/2012