Limitations of red noise in analysing Dansgaard-Oeschger events 1Centre for Ice and Climate, Niels Bohr Institute, University of Copenhagen, Juliane Maries Vej 30, 2100 Copenhagen, Denmark
2Heidelberg Academy of Sciences and Humanities, Im Neuenheimer Feld 229, 69120 Heidelberg, Germany
3Institute of Physics, Humboldt University Berlin, Newtonstraße 15, 12489 Berlin, Germany
4Potsdam Institute for Climate Impact Research, P.O. Box 601203, 14412 Potsdam, Germany
5Climate Risk Analysis, Schneiderberg 26, 30167 Hannover, Germany
Received: 16 Jun 2009 – Published in Clim. Past Discuss.: 03 Jul 2009 Abstract. During the last glacial period, climate records from the North Atlantic
region exhibit a pronounced spectral component corresponding to a period of
about 1470 years, which has attracted much attention. This spectral peak is
closely related to the recurrence pattern of Dansgaard-Oeschger (DO) events.
In previous studies a red noise random process, more precisely a first-order
autoregressive (AR1) process, was used to evaluate the statistical
significance of this peak, with a reported significance of more than 99%.
Here we use a simple mechanistic two-state model of DO events, which itself
was derived from a much more sophisticated ocean-atmosphere model of
intermediate complexity, to numerically evaluate the spectral properties of
random (i.e., solely noise-driven) events. This way we find that the power
spectral density of random DO events differs fundamentally from a simple red
noise random process. These results question the applicability of linear
spectral analysis for estimating the statistical significance of highly
non-linear processes such as DO events. More precisely, to enhance our
scientific understanding about the trigger of DO events, we must not
consider simple "straw men" as, for example, the AR1 random process, but
rather test against realistic alternative descriptions.
Revised: 06 Jan 2010 – Accepted: 10 Feb 2010 – Published: 19 Feb 2010
Citation: Braun, H., Ditlevsen, P., Kurths, J., and Mudelsee, M.: Limitations of red noise in analysing Dansgaard-Oeschger events, Clim. Past, 6, 85-92, doi:10.5194/cp-6-85-2010, 2010.