Nonlinearity and multifractality of climate change in the past 420,000 years

By Y. Ashkenazy, D. Baker, H. Gildor, Shlomo Havlin. 2002

173 citations recorded by the source corpus.

Evidence of past climate variations are stored in polar ice caps and indicate glacial‐interglacial cycles of ∼100 kyr. Using advanced scaling techniques we study the long‐range correlation properties of temperature proxy records of four ice cores from Antarctica and Greenland. These series are long‐range correlated in the time scales of 1–100 kyr. We show that these time series are nonlinear for time scales of 1–100 kyr as expressed by temporal long‐range correlations of magnitudes of temperature increments and by a broad multifractal spectrum. Our results suggest that temperature increments appear in clusters of big and small increments—a big (positive or negative) climate change is most likely followed by a big (positive or negative) climate change and a small climate change is most likely followed by a small climate change.

Subfields: Anthropology, Atmospheric Science

View Paper: https://www.semanticscholar.org/paper/e874c37029a4809a9eb3d69875850d9c26748764

Citations in the corpus

• Multifractal analysis of the time series of daily means of wind speed in complex regions (2017, unknown): “τ(q) = qhq − 1 (8) and α = dτ/dq (9) we obtain f(α) = qα− τ(q) (10) where α is the Hölder exponent and f(α) indicates the dimension of the subset of the series that is characterized by α [34].”