Limitations of red noise in analysing Dansgaard-Oeschger events

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....

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Main Authors: H. Braun, P. Ditlevsen, J. Kurths, M. Mudelsee
Format: Article
Language:English
Published: Copernicus Publications 2010-02-01
Series:Climate of the Past
Online Access:http://www.clim-past.net/6/85/2010/cp-6-85-2010.pdf
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author H. Braun
P. Ditlevsen
J. Kurths
M. Mudelsee
author_facet H. Braun
P. Ditlevsen
J. Kurths
M. Mudelsee
author_sort H. Braun
collection DOAJ
description 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.
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spelling doaj.art-ba902206a6eb401faad17576b16148de2022-12-21T18:11:49ZengCopernicus PublicationsClimate of the Past1814-93241814-93322010-02-01618592Limitations of red noise in analysing Dansgaard-Oeschger eventsH. BraunP. DitlevsenJ. KurthsM. MudelseeDuring 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.http://www.clim-past.net/6/85/2010/cp-6-85-2010.pdf
spellingShingle H. Braun
P. Ditlevsen
J. Kurths
M. Mudelsee
Limitations of red noise in analysing Dansgaard-Oeschger events
Climate of the Past
title Limitations of red noise in analysing Dansgaard-Oeschger events
title_full Limitations of red noise in analysing Dansgaard-Oeschger events
title_fullStr Limitations of red noise in analysing Dansgaard-Oeschger events
title_full_unstemmed Limitations of red noise in analysing Dansgaard-Oeschger events
title_short Limitations of red noise in analysing Dansgaard-Oeschger events
title_sort limitations of red noise in analysing dansgaard oeschger events
url http://www.clim-past.net/6/85/2010/cp-6-85-2010.pdf
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