Plio-/Pleistocene climate modeling based on oxygen isotope time series from deep-sea sediment cores: The Grassberger-Procaccia algorithm and chaotic climate systems

Mudelsee, Manfred; Stattegger, Karl

doi:10.1007/bf02083118

Cited by 31 publications

(5 citation statements)

References 27 publications

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“…Quoted ages were corrected corresponding to an actual magnetostratigraphic timescale (Brunhes/Matuyama"778 ka; Singer and Pringle 1996), Top Jaramillo"915 ka (Spell and McDougall 1992), Base Jaramillo"1010 ka (Spell and McDougall 1992), Cobb Mountain" 1172 ka (Spell and McDougall 1992;Turrin et al 1994) Method: wavelet analysis The Grassberger-Procaccia algorithm, another tool for analyzing nonlinear dynamic systems, was applied to oxygen isotope records in order to estimate the dimension of the Plio-/Pleistocene climate system (Mudelsee and Stattegger 1994;Mudelsee 1995). The limited amount of data (less than ca.…”

Section: Introductionmentioning

confidence: 99%

Exploring the structure of the mid-Pleistocene revolution with advanced methods of time-series analysis

Mudelsee¹,

Stattegger²

1997

Geologische Rundschau

141

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The mid-Pleistocene climate transition is a complex global change leading to Late Pleistocene ice ages with increased mean ice volume and dominant 100-ka cycle. A thorough understanding of this transition demands quantitative investigations in the time and frequency domains, and in the ''stochastic domain''. Three methods of time-series analysis are presented which have been adapted for this purpose. They are tested by means of predefined, artificial time series and applied to benthic oxygen isotope ( O) records which serve as ice volume indicator. Results are as follows: (a) The time-dependent mean shows an increase of 0.35 vs PDB from 942 to 892 ka. (b) Evolutionary spectral analysis reveals an abrupt increase of 100-ka cycle amplitude at approximately 650 ka. (c) Probability density function exhibits a bifurcation behavior at approximately 725 ka. These findings point to a multiple transition from a more linear climate system to a strong nonlinear system. The significant lead of the transition in mean, in relation to the 100-ka amplitude change and bifurcation is left open for explanation.

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Section: Introductionmentioning

confidence: 99%

Exploring the structure of the mid-Pleistocene revolution with advanced methods of time-series analysis

Mudelsee¹,

Stattegger²

1997

Geologische Rundschau

141

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“…Unevenly spaced time series of δ 18 O and δ 13 C were interpolated by the Akima splines method 66 . Akima is one of the most common, useful, and effective methods to interpolate unevenly spaced paleoclimate time series 67 , 68 . However, we have corroborated whether this interpolation method works properly with our data comparing the interpolated time series with the original unevenly spaced time series, and the differences are negligible.…”

Section: Methodsmentioning

confidence: 99%

Last glacial hydroclimate variability in the Yucatán Peninsula not just driven by ITCZ shifts

Travis-Taylor,

Medina-Elizalde,

Karmalkar

et al. 2023

Sci Rep

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We reconstructed hydroclimate variability in the Yucatán Peninsula (YP) based on stalagmite oxygen and carbon isotope records from a well-studied cave system located in the northeastern YP, a region strongly influenced by Caribbean climate dynamics. The new stalagmite isotopic records span the time interval between 43 and 26.6 ka BP, extending a previously published record from the same cave system covering the interval between 26.5 and 23.2 ka BP. Stalagmite stable isotope records show dominant decadal and multidecadal variability, and weaker variability on millennial timescales. These records suggest significant precipitation declines in the broader Caribbean region during Heinrich events 4 and 3 of ice-rafted discharge into the North Atlantic, in agreement with the antiphase pattern of precipitation variability across the equator suggested by previous studies. On millennial timescales, the stalagmite isotope records do not show the distinctive saw-tooth pattern of climate variability observed in Greenland during Dansgaard–Oeschger (DO) events, but a pattern similar to North Atlantic sea surface temperature (SST) variability. We propose that shifts in the mean position of the Intertropical Convergence Zone (ITCZ), per se, are not the dominant driver of last glacial hydroclimate variability in the YP on millennial timescales but instead that North Atlantic SSTs played a dominant role. Our results support a negative climate feedback mechanism whereby large low latitude precipitation deficits resulting from AMOC slowdown would lead to elevated salinity in the Caribbean and ultimately help reactivate AMOC and Caribbean precipitation. However, because of the unique drivers of future climate in the region, predicted twenty-first century YP precipitation reductions are unlikely to be modulated by this negative feedback mechanism.

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“…Due to their usually rather coarse temporal resolution with an uneven sampling and the uncertainties of both the measured data and the applied age model, an appropriate analysis requires some especially sophisticated methods. Traditional approaches of time series analysis can thus hardly be applied to such data, which was demonstrated for fractal dimensions estimated with the Grassberger-Procaccia algorithm (Grassberger and Procaccia, 1983) for some marine isotopic records (Mudelsee and Stattegger, 1994).…”

Section: Methodsmentioning

confidence: 99%

Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data

Donner

Witt

2006

Nonlin. Processes Geophys.

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Abstract. The problem of extracting climatically relevant information from multivariate geological records is tackled by characterising the eigenvalues of the temporarily varying correlation matrix. From these eigenvalues, a quantitative measure, the linear variance decay (LVD) dimension density, is derived. The LVD dimension density is shown to serve as a suitable estimate of the fractal dimension density. Its performance is evaluated by testing it for (i) systems with independent components and for (ii) subsystems of spatially extended linearly correlated systems.The LVD dimension density is applied to characterise two geological records which contain information about climate variability during the Oligocene and Miocene. These records consist of (a) abundances of different chemical trace elements and (b) grain-size distributions obtained from sediment cores offshore the East Antarctic coast. The presented analysis provides evidence that the major climate change associated with the Oligocene-Miocene transition is reflected in significant changes of the LVD dimension density. This is interpreted as a change of the interrelationships between different trace elements in the sediment and to a change of the provenance area of the deposited sediment.

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Plio-/Pleistocene climate modeling based on oxygen isotope time series from deep-sea sediment cores: The Grassberger-Procaccia algorithm and chaotic climate systems

Cited by 31 publications

References 27 publications

Exploring the structure of the mid-Pleistocene revolution with advanced methods of time-series analysis

Exploring the structure of the mid-Pleistocene revolution with advanced methods of time-series analysis

Last glacial hydroclimate variability in the Yucatán Peninsula not just driven by ITCZ shifts

Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data

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