M. Mudelsee et K. Stattegger, EXPLORING THE STRUCTURE OF THE MIDPLEISTOCENE REVOLUTION WITH ADVANCED METHODS OF TIME-SERIES ANALYSIS, Geologische Rundschau, 86(2), 1997, pp. 499-511
The mid-Pleistocene climate transition is a complex global change lead
ing to Late Pleistocene ice ages with increased mean ice volume and do
minant 100-ka cycle. A thorough understanding of this transition deman
ds quantitative investigations in the time and frequency domains, and
in the ''stochastic domain''. Three methods of time-series analysis ar
e presented which have been adapted for this purpose. They are tested
by means of predefined, artificial time series and applied to benthic
oxygen isotope (delta(18)O) records which serve as ice volume indicato
r. Results are as follows: (a) The time-dependent mean shows an increa
se of 0.35 parts per thousand, vs PDB from 942 to 892 ka. (b) Evolutio
nary spectral analysis reveals an abrupt increase of 100-ka cycle ampl
itude at approximately 650 ka. (c) Probability density function exhibi
ts a bifurcation behavior at approximately 725 ka. These findings poin
t to a multiple transition from a more linear climate system to a stro
ng nonlinear system. The significant lead of the transition in mean, i
n relation to the 100-ka amplitude change and bifurcation is left open
for explanation.