Stochastic modeling of climatic variability in dendrochronology

[1] Climatic variability can be characterized by invariant quantities arising from the analysis of scaling properties of paleoclimatic records. In this paper we discuss a stochastic model that reproduces the variability and the long-range correlation observed in dendrochronological time series. We have found that non-Gaussian distributions are better suited to describe the climatic variability embedded in these data. Our results indicate that Gaussian distribution fails to capture the large fluctuation —extreme events— that characterized climatic variability in these time series. This might have applications on the study of extreme weather events on future climate scenarios.

[1]  M. Grigoriu Applied Non-Gaussian Processes , 1995 .

[2]  H. Beltrami Climate from borehole data: Energy fluxes and temperatures since 1500 , 2002 .

[3]  E. Cook,et al.  Warm-season temperatures since 1600 BC reconstructed from Tasmanian tree rings and their relationship to large-scale sea surface temperature anomalies , 2000 .

[4]  S. Krantz Fractal geometry , 1989 .

[5]  Keith W. Dixon,et al.  Anthropogenic Warming of Earth's Climate System , 2001, Science.

[6]  Daniel Lavallée,et al.  Stochastic modeling of slip spatial complexities for the 1979 Imperial Valley, California, earthquake , 2002 .

[7]  Francis W. Zwiers,et al.  Detectability of Anthropogenic Changes in Annual Temperature and Precipitation Extremes , 2004 .

[8]  Edward R. Cook,et al.  Tree-ring data document 16th century megadrought over North America , 2000 .

[9]  Heinz-Otto Peitgen,et al.  The science of fractal images , 2011 .

[10]  M. Hughes,et al.  Northern hemisphere temperatures during the past millennium: Inferences, uncertainties, and limitations , 1999 .

[11]  Francis W. Zwiers,et al.  Estimating Extremes in Transient Climate Change Simulations , 2005 .

[12]  Edward R. Cook,et al.  Low-Frequency Signals in Long Tree-Ring Chronologies for Reconstructing Past Temperature Variability , 2002, Science.

[13]  J. Smerdon,et al.  Continental heat gain in the global climate system , 2001 .

[14]  C. L. Nikias,et al.  Signal processing with alpha-stable distributions and applications , 1995 .

[15]  Jörg Baschnagel,et al.  Stochastic Processes: From Physics to Finance , 2000 .

[16]  H. Gärtner,et al.  A tree ring reconstruction of climatic extreme years since 1427 AD for Western Central Asia , 2001, Journal of Palaeosciences.

[17]  C. Mallows,et al.  A Method for Simulating Stable Random Variables , 1976 .

[18]  E. Cook,et al.  Methods of Dendrochronology - Applications in the Environmental Sciences , 1991 .