Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data
International audience The problem of extracting climatically relevant information from multivariate geological records is tackled by characterising the eigenvalues of the temporarily varying correlation matrix. From these eigenvalues, a quantitative measure, the linear variance decay (LVD) dimensio...
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ftccsdartic:oai:HAL:hal-00302779v1 2023-11-12T04:01:45+01:00 Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data Donner, R. Witt, A. Nonlinear Dynamics Group Okayama University Department of Geography University College of London London (UCL) 2006-09-21 https://hal.science/hal-00302779 https://hal.science/hal-00302779/document https://hal.science/hal-00302779/file/npg-13-485-2006.pdf en eng HAL CCSD European Geosciences Union (EGU) hal-00302779 https://hal.science/hal-00302779 https://hal.science/hal-00302779/document https://hal.science/hal-00302779/file/npg-13-485-2006.pdf info:eu-repo/semantics/OpenAccess ISSN: 1023-5809 EISSN: 1607-7946 Nonlinear Processes in Geophysics https://hal.science/hal-00302779 Nonlinear Processes in Geophysics, 2006, 13 (5), pp.485-497 [PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph] [SDU.STU]Sciences of the Universe [physics]/Earth Sciences info:eu-repo/semantics/article Journal articles 2006 ftccsdartic 2023-10-21T23:12:07Z International audience The problem of extracting climatically relevant information from multivariate geological records is tackled by characterising the eigenvalues of the temporarily varying correlation matrix. From these eigenvalues, a quantitative measure, the linear variance decay (LVD) dimension density, is derived. The LVD dimension density is shown to serve as a suitable estimate of the fractal dimension density. Its performance is evaluated by testing it for (i) systems with independent components and for (ii) subsystems of spatially extended linearly correlated systems. The LVD dimension density is applied to characterise two geological records which contain information about climate variability during the Oligocene and Miocene. These records consist of (a) abundances of different chemical trace elements and (b) grain-size distributions obtained from sediment cores offshore the East Antarctic coast. The presented analysis provides evidence that the major climate change associated with the Oligocene-Miocene transition is reflected in significant changes of the LVD dimension density. This is interpreted as a change of the interrelationships between different trace elements in the sediment and to a change of the provenance area of the deposited sediment. Article in Journal/Newspaper Antarc* Antarctic Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) Antarctic |
institution |
Open Polar |
collection |
Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
op_collection_id |
ftccsdartic |
language |
English |
topic |
[PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph] [SDU.STU]Sciences of the Universe [physics]/Earth Sciences |
spellingShingle |
[PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph] [SDU.STU]Sciences of the Universe [physics]/Earth Sciences Donner, R. Witt, A. Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data |
topic_facet |
[PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph] [SDU.STU]Sciences of the Universe [physics]/Earth Sciences |
description |
International audience The problem of extracting climatically relevant information from multivariate geological records is tackled by characterising the eigenvalues of the temporarily varying correlation matrix. From these eigenvalues, a quantitative measure, the linear variance decay (LVD) dimension density, is derived. The LVD dimension density is shown to serve as a suitable estimate of the fractal dimension density. Its performance is evaluated by testing it for (i) systems with independent components and for (ii) subsystems of spatially extended linearly correlated systems. The LVD dimension density is applied to characterise two geological records which contain information about climate variability during the Oligocene and Miocene. These records consist of (a) abundances of different chemical trace elements and (b) grain-size distributions obtained from sediment cores offshore the East Antarctic coast. The presented analysis provides evidence that the major climate change associated with the Oligocene-Miocene transition is reflected in significant changes of the LVD dimension density. This is interpreted as a change of the interrelationships between different trace elements in the sediment and to a change of the provenance area of the deposited sediment. |
author2 |
Nonlinear Dynamics Group Okayama University Department of Geography University College of London London (UCL) |
format |
Article in Journal/Newspaper |
author |
Donner, R. Witt, A. |
author_facet |
Donner, R. Witt, A. |
author_sort |
Donner, R. |
title |
Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data |
title_short |
Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data |
title_full |
Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data |
title_fullStr |
Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data |
title_full_unstemmed |
Characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data |
title_sort |
characterisation of long-term climate change by dimension estimates of multivariate palaeoclimatic proxy data |
publisher |
HAL CCSD |
publishDate |
2006 |
url |
https://hal.science/hal-00302779 https://hal.science/hal-00302779/document https://hal.science/hal-00302779/file/npg-13-485-2006.pdf |
geographic |
Antarctic |
geographic_facet |
Antarctic |
genre |
Antarc* Antarctic |
genre_facet |
Antarc* Antarctic |
op_source |
ISSN: 1023-5809 EISSN: 1607-7946 Nonlinear Processes in Geophysics https://hal.science/hal-00302779 Nonlinear Processes in Geophysics, 2006, 13 (5), pp.485-497 |
op_relation |
hal-00302779 https://hal.science/hal-00302779 https://hal.science/hal-00302779/document https://hal.science/hal-00302779/file/npg-13-485-2006.pdf |
op_rights |
info:eu-repo/semantics/OpenAccess |
_version_ |
1782333123808198656 |