On Time Scales of Intrinsic Oscillations in the Climate System

Proxy temperature data records featuring local time series, regional averages from areas all around the globe, as well as global averages, are analyzed using the Slow Feature Analysis (SFA) method. As explained in the paper, SFA is much more effective than the traditional Fourier analysis in identifying slow-varying (low-frequency) signals in data sets of a limited length. We find the existence of a striking gap from ~1000 to about ~20,000 years, which separates intrinsic climatic oscillations with periods ranging from ~60 years to ~1000 years, from the longer time-scale periodicities (20,000 year+) involving external forcing associated with Milankovitch cycles. The absence of natural oscillations with periods within the gap is consistent with cumulative evidence based on past data analyses, as well as with earlier theoretical and modeling studies.

[1]  Alpine climate during the Holocene: a comparison between records of glaciers, lake sediments and solar activity , 2011 .

[2]  P. Ditlevsen,et al.  The Recurrence Time of Dansgaard–Oeschger Events and Limits on the Possible Periodic Component , 2005 .

[3]  T. Delworth,et al.  Multicentennial variability of the Atlantic meridional overturning circulation and its climatic influence in a 4000 year simulation of the GFDL CM2.1 climate model , 2012 .

[4]  S. Kravtsov.  Dynamics and Predictability of Hemispheric-Scale Multidecadal Climate Variability in an Observationally Constrained Mechanistic Model , 2020, Journal of Climate.

[5]  M. Latif,et al.  Southern Ocean Sector Centennial Climate Variability and Recent Decadal Trends , 2013 .

[6]  Witold F. Krajewski,et al.  Insights on Streamflow Predictability Across Scales Using Horizontal Visibility Graph Based Networks , 2020, Frontiers in Water.

[7]  Su Ding,et al.  A biomarker record of temperature and phytoplankton community structure in the Okinawa Trough since the last glacial maximum , 2017, Quaternary Research.

[8]  Katrine K Andersen,et al.  The DO-climate events are probably noise induced: statistical investigation of the claimed 1470 years cycle , 2006 .

[9]  Michel Crucifix,et al.  Quantification and interpretation of the climate variability record , 2021 .

[10]  Hanspeter Holzhauser.  Die bewegte Vergangenheit des Grossen Aletschgletschers , 2009 .

[11]  Feng Zhang,et al.  Causality of global warming seen from observations: a scale analysis of driving force of the surface air temperature time series in the Northern Hemisphere , 2016, Climate Dynamics.

[12]  C. Spötl,et al.  Reconstruction of temperature in the Central Alps during the past 2000 yr from a δ18O stalagmite record , 2005 .

[13]  Q. Ge,et al.  Characteristics of temperature change in China over the last 2000 years and spatial patterns of dryness/wetness during cold and warm periods , 2017, Advances in Atmospheric Sciences.

[14]  Terrence J. Sejnowski,et al.  Slow Feature Analysis: Unsupervised Learning of Invariances , 2002, Neural Computation.

[15]  J. M. Mitchell,et al.  An Overview of Climatic Variability and its Causal Mechanisms , 1976, Quaternary Research.

[16]  Johannes Oerlemans,et al.  Modelled atmospheric temperatures and global sea levels over the past million years , 2005, Nature.

[17]  Sergey Kravtsov,et al.  Atlantic Multidecadal Oscillation and Northern Hemisphere’s climate variability , 2010, Climate Dynamics.

[18]  J. Marshall,et al.  A Study of the Interaction of the North Atlantic Oscillation with Ocean Circulation , 2001 .

[19]  A. Tsonis,et al.  On the Range of Frequencies of Intrinsic Climate Oscillations , 2018 .

[20]  Timothy T. Barrows,et al.  Comparison of organic (UK'37, TEXH86, LDI) and faunal proxies (foraminiferal assemblages) for reconstruction of late Quaternary sea surface temperature variability from offshore southeastern Australia , 2013 .

[21]  Aslak Grinsted,et al.  Nonlinear Processes in Geophysics Application of the Cross Wavelet Transform and Wavelet Coherence to Geophysical Time Series , 2022 .

[22]  John Marshall,et al.  Observations, inferences, and mechanisms of the Atlantic Meridional Overturning Circulation: A review , 2016 .

[23]  S. Havlin,et al.  Indication of a Universal Persistence Law Governing Atmospheric Variability , 1998 .

[24]  N. Reeh,et al.  Holocene climatic records from Agassiz Ice Cap, Ellesmere Island, NWT, Canada , 1995 .

[25]  S. Childress,et al.  Topics in geophysical fluid dynamics. Atmospheric dynamics, dynamo theory, and climate dynamics. , 1987 .

[26]  H. Grudd.  Torneträsk tree-ring width and density ad 500–2004: a test of climatic sensitivity and a new 1500-year reconstruction of north Fennoscandian summers , 2008 .

[27]  E. Sarachik,et al.  Mechanisms for Decadal-to-Centennial Climate Variability , 1996 .

[28]  J. D. Hays,et al.  Variations in the Earth ' s Orbit : Pacemaker of the Ice Ages Author ( s ) : , 2022 .

[29]  Michael E. Mann,et al.  Observed and Simulated Multidecadal Variability in the Northern Hemisphere , 1999 .

[30]  Niko Wilbert,et al.  Invariant Object Recognition and Pose Estimation with Slow Feature Analysis , 2011, Neural Computation.

[31]  Maureen E. Raymo,et al.  Matuyama 41,000-year cycles: North Atlantic Ocean and northern hemisphere ice sheets , 1986 .

[32]  M. Loso.  Summer temperatures during the Medieval Warm Period and Little Ice Age inferred from varved proglacial lake sediments in southern Alaska , 2008 .

[33]  Michel Crucifix,et al.  Oscillators and relaxation phenomena in Pleistocene climate theory , 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[34]  J. Hansen,et al.  Global surface air temperatures: update through 1987 , 1988 .

[36]  Geli Wang,et al.  On the min–max estimation of mean daily temperatures , 2019, Climate Dynamics.

[37]  J. Kurths,et al.  Bayesian Data Analysis for Revealing Causes of the Middle Pleistocene Transition , 2019, Scientific Reports.

[38]  C. Grimm,et al.  Global-scale multidecadal variability missing in state-of-the-art climate models , 2018, npj Climate and Atmospheric Science.

[39]  C. Torrence,et al.  A Practical Guide to Wavelet Analysis. , 1998 .

[40]  G. Danabasoglu,et al.  A Review of the Role of the Atlantic Meridional Overturning Circulation in Atlantic Multidecadal Variability and Associated Climate Impacts , 2019, Reviews of Geophysics.

[41]  T. Delworth,et al.  The impact of multidecadal Atlantic meridional overturning circulation variations on the Southern Ocean , 2015, Climate Dynamics.

[42]  J. Jouzel,et al.  Evidence for general instability of past climate from a 250-kyr ice-core record , 1993, Nature.

[43]  Niko Wilbert,et al.  Slow feature analysis , 2011, Scholarpedia.

[44]  Laurenz Wiskott,et al.  Slow feature analysis yields a rich repertoire of complex cell properties. , 2005, Journal of vision.

[45]  Hisashi Nakamura,et al.  The Pacific Decadal Oscillation, Revisited , 2016 .

[46]  Laurenz Wiskott,et al.  What Is the Relation Between Slow Feature Analysis and Independent Component Analysis? , 2006, Neural Computation.

[47]  Jeff Knight,et al.  A signature of persistent natural thermohaline circulation cycles in observed climate , 2005 .

[48]  H. Lüdecke,et al.  Harmonic Analysis of Worldwide Temperature Proxies for 2000 Years , 2017 .