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 |
---|---|
Main Authors: | , , , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Copernicus Publications
2009
|
Subjects: | |
Online Access: | http://nora.nerc.ac.uk/id/eprint/11160/ https://nora.nerc.ac.uk/id/eprint/11160/1/npg-16-43-2009.pdf http://www.nonlin-processes-geophys.net/16/43/2009/npg-16-43-2009.pdf |
id |
ftnerc:oai:nora.nerc.ac.uk:11160 |
---|---|
record_format |
openpolar |
spelling |
ftnerc:oai:nora.nerc.ac.uk:11160 2023-05-15T16:39:08+02:00 Climate spectrum estimation in the presence of timescale errors Mudelsee, M. Scholz, D. Röthlisberger, Regine Fleitmann, D. Mangini, A. Wolff, Eric W. 2009 text http://nora.nerc.ac.uk/id/eprint/11160/ https://nora.nerc.ac.uk/id/eprint/11160/1/npg-16-43-2009.pdf http://www.nonlin-processes-geophys.net/16/43/2009/npg-16-43-2009.pdf en eng Copernicus Publications https://nora.nerc.ac.uk/id/eprint/11160/1/npg-16-43-2009.pdf Mudelsee, M.; Scholz, D.; Röthlisberger, Regine; Fleitmann, D.; Mangini, A.; Wolff, Eric W. 2009 Climate spectrum estimation in the presence of timescale errors. Nonlinear Processes in Geophysics, 16 (1). 43-56. https://doi.org/10.5194/npg-16-43-2009 <https://doi.org/10.5194/npg-16-43-2009> Meteorology and Climatology Glaciology Earth Sciences Publication - Article PeerReviewed 2009 ftnerc https://doi.org/10.5194/npg-16-43-2009 2023-02-04T19:27:12Z 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 Natural Environment Research Council: NERC Open Research Archive Nonlinear Processes in Geophysics 16 1 43 56 |
institution |
Open Polar |
collection |
Natural Environment Research Council: NERC Open Research Archive |
op_collection_id |
ftnerc |
language |
English |
topic |
Meteorology and Climatology Glaciology Earth Sciences |
spellingShingle |
Meteorology and Climatology Glaciology Earth Sciences Mudelsee, M. Scholz, D. Röthlisberger, Regine Fleitmann, D. Mangini, A. Wolff, Eric W. Climate spectrum estimation in the presence of timescale errors |
topic_facet |
Meteorology and Climatology Glaciology Earth Sciences |
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, Regine Fleitmann, D. Mangini, A. Wolff, Eric W. |
author_facet |
Mudelsee, M. Scholz, D. Röthlisberger, Regine Fleitmann, D. Mangini, A. Wolff, Eric 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 |
http://nora.nerc.ac.uk/id/eprint/11160/ https://nora.nerc.ac.uk/id/eprint/11160/1/npg-16-43-2009.pdf http://www.nonlin-processes-geophys.net/16/43/2009/npg-16-43-2009.pdf |
genre |
ice core |
genre_facet |
ice core |
op_relation |
https://nora.nerc.ac.uk/id/eprint/11160/1/npg-16-43-2009.pdf Mudelsee, M.; Scholz, D.; Röthlisberger, Regine; Fleitmann, D.; Mangini, A.; Wolff, Eric W. 2009 Climate spectrum estimation in the presence of timescale errors. Nonlinear Processes in Geophysics, 16 (1). 43-56. https://doi.org/10.5194/npg-16-43-2009 <https://doi.org/10.5194/npg-16-43-2009> |
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 |
_version_ |
1766029470380064768 |