Climate spectrum estimation in the presence of timescale errors
We introduce an algorithm (called REDFITmc2) for spectrum estimation in the presence of timescale errors. It is based on the Lomb-Scargle periodogram for unevenly spaced time series, in combination with the Welch's Overlapped Segment Averaging procedure, bootstrap bias correction and persistenc...
Published in: | Nonlinear Processes in Geophysics |
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ftunivbern:oai:boris.unibe.ch:38577 2023-08-20T04:07:12+02:00 Climate spectrum estimation in the presence of timescale errors Mudelsee, M. Scholz, D. Röthlisberger, R. Fleitmann, Dominik Mangini, A. Wolff, E.W. 2009 application/pdf https://boris.unibe.ch/38577/1/npg-16-43-2009.pdf https://boris.unibe.ch/38577/ eng eng Copernicus Publications https://boris.unibe.ch/38577/ info:eu-repo/semantics/openAccess Mudelsee, M.; Scholz, D.; Röthlisberger, R.; Fleitmann, Dominik; Mangini, A.; Wolff, E.W. (2009). Climate spectrum estimation in the presence of timescale errors. Nonlinear processes in geophysics, 16(1), pp. 43-56. Göttingen: Copernicus Publications 10.5194/npg-16-43-2009 <http://dx.doi.org/10.5194/npg-16-43-2009> 550 Earth sciences & geology info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion PeerReviewed 2009 ftunivbern https://doi.org/10.5194/npg-16-43-2009 2023-07-31T21:00:31Z We introduce an algorithm (called REDFITmc2) for spectrum estimation in the presence of timescale errors. It is based on the Lomb-Scargle periodogram for unevenly spaced time series, in combination with the Welch's Overlapped Segment Averaging procedure, bootstrap bias correction and persistence estimation. The timescale errors are modelled parametrically and included in the simulations for determining (1) the upper levels of the spectrum of the red-noise AR(1) alternative and (2) the uncertainty of the frequency of a spectral peak. Application of REDFITmc2 to ice core and stalagmite records of palaeoclimate allowed a more realistic evaluation of spectral peaks than when ignoring this source of uncertainty. The results support qualitatively the intuition that stronger effects on the spectrum estimate (decreased detectability and increased frequency uncertainty) occur for higher frequencies. The surplus information brought by algorithm REDFITmc2 is that those effects are quantified. Regarding timescale construction, not only the fixpoints, dating errors and the functional form of the age-depth model play a role. Also the joint distribution of all time points (serial correlation, stratigraphic order) determines spectrum estimation. Article in Journal/Newspaper ice core BORIS (Bern Open Repository and Information System, University of Bern) Nonlinear Processes in Geophysics 16 1 43 56 |
institution |
Open Polar |
collection |
BORIS (Bern Open Repository and Information System, University of Bern) |
op_collection_id |
ftunivbern |
language |
English |
topic |
550 Earth sciences & geology |
spellingShingle |
550 Earth sciences & geology Mudelsee, M. Scholz, D. Röthlisberger, R. Fleitmann, Dominik Mangini, A. Wolff, E.W. Climate spectrum estimation in the presence of timescale errors |
topic_facet |
550 Earth sciences & geology |
description |
We introduce an algorithm (called REDFITmc2) for spectrum estimation in the presence of timescale errors. It is based on the Lomb-Scargle periodogram for unevenly spaced time series, in combination with the Welch's Overlapped Segment Averaging procedure, bootstrap bias correction and persistence estimation. The timescale errors are modelled parametrically and included in the simulations for determining (1) the upper levels of the spectrum of the red-noise AR(1) alternative and (2) the uncertainty of the frequency of a spectral peak. Application of REDFITmc2 to ice core and stalagmite records of palaeoclimate allowed a more realistic evaluation of spectral peaks than when ignoring this source of uncertainty. The results support qualitatively the intuition that stronger effects on the spectrum estimate (decreased detectability and increased frequency uncertainty) occur for higher frequencies. The surplus information brought by algorithm REDFITmc2 is that those effects are quantified. Regarding timescale construction, not only the fixpoints, dating errors and the functional form of the age-depth model play a role. Also the joint distribution of all time points (serial correlation, stratigraphic order) determines spectrum estimation. |
format |
Article in Journal/Newspaper |
author |
Mudelsee, M. Scholz, D. Röthlisberger, R. Fleitmann, Dominik Mangini, A. Wolff, E.W. |
author_facet |
Mudelsee, M. Scholz, D. Röthlisberger, R. Fleitmann, Dominik Mangini, A. Wolff, E.W. |
author_sort |
Mudelsee, M. |
title |
Climate spectrum estimation in the presence of timescale errors |
title_short |
Climate spectrum estimation in the presence of timescale errors |
title_full |
Climate spectrum estimation in the presence of timescale errors |
title_fullStr |
Climate spectrum estimation in the presence of timescale errors |
title_full_unstemmed |
Climate spectrum estimation in the presence of timescale errors |
title_sort |
climate spectrum estimation in the presence of timescale errors |
publisher |
Copernicus Publications |
publishDate |
2009 |
url |
https://boris.unibe.ch/38577/1/npg-16-43-2009.pdf https://boris.unibe.ch/38577/ |
genre |
ice core |
genre_facet |
ice core |
op_source |
Mudelsee, M.; Scholz, D.; Röthlisberger, R.; Fleitmann, Dominik; Mangini, A.; Wolff, E.W. (2009). Climate spectrum estimation in the presence of timescale errors. Nonlinear processes in geophysics, 16(1), pp. 43-56. Göttingen: Copernicus Publications 10.5194/npg-16-43-2009 <http://dx.doi.org/10.5194/npg-16-43-2009> |
op_relation |
https://boris.unibe.ch/38577/ |
op_rights |
info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.5194/npg-16-43-2009 |
container_title |
Nonlinear Processes in Geophysics |
container_volume |
16 |
container_issue |
1 |
container_start_page |
43 |
op_container_end_page |
56 |
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1774718674765086720 |