Reciprocity and sensitivity kernels for sea level fingerprints
<jats:title>SUMMARY</jats:title><jats:p>Reciprocity theorems are established for the elastic sea level fingerprint problem including rotational feedbacks. In their simplest form, these results show that the sea level change at a location x due to melting a unit point mass of ice at...
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ftunivcam:oai:www.repository.cam.ac.uk:1810/361501 2024-01-28T10:06:32+01:00 Reciprocity and sensitivity kernels for sea level fingerprints Al-Attar, D Syvret, F Crawford, O Mitrovica, JX Lloyd, AJ 2023-11-03 application/pdf https://www.repository.cam.ac.uk/handle/1810/361501 eng eng Oxford University Press (OUP) Department of Earth Sciences http://dx.doi.org/10.1093/gji/ggad434 Geophysical Journal International https://www.repository.cam.ac.uk/handle/1810/361501 Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/ 37 Earth Sciences 3709 Physical Geography and Environmental Geoscience 3705 Geology 13 Climate Action Article 2023 ftunivcam 2024-01-04T23:19:24Z <jats:title>SUMMARY</jats:title><jats:p>Reciprocity theorems are established for the elastic sea level fingerprint problem including rotational feedbacks. In their simplest form, these results show that the sea level change at a location x due to melting a unit point mass of ice at x′ is equal to the sea level change at x′ due to melting a unit point mass of ice at x. This identity holds irrespective of the shoreline geometry or of lateral variations in elastic Earth structure. Using the reciprocity theorems, sensitivity kernels for sea level and related observables with respect to the ice load can be readily derived. It is notable that calculation of the sensitivity kernels is possible using standard fingerprint codes, though for some types of observable a slight generalization to the fingerprint problem must be considered. These results are of use within coastal hazard assessment and have a range of applications within studies of modern-day sea level change. To illustrate the latter point, we use sensitivity kernels to investigate two widely used methods for estimating, respectively, ice sheet mass loss from satellite gravity, and rates of global mean sea level rise from satellite altimetry. Though our analysis is idealized in some respects, we identify systematic errors of order 5 per cent due to the use of simplified sea level physics. Crucially, calculation of the relevant sensitivity kernels provides not only a means for understanding sources of bias in existing methods, but will aid in the design of new and improved data-assimilation techniques.</jats:p> Article in Journal/Newspaper Ice Sheet Apollo - University of Cambridge Repository |
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Open Polar |
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Apollo - University of Cambridge Repository |
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ftunivcam |
language |
English |
topic |
37 Earth Sciences 3709 Physical Geography and Environmental Geoscience 3705 Geology 13 Climate Action |
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37 Earth Sciences 3709 Physical Geography and Environmental Geoscience 3705 Geology 13 Climate Action Al-Attar, D Syvret, F Crawford, O Mitrovica, JX Lloyd, AJ Reciprocity and sensitivity kernels for sea level fingerprints |
topic_facet |
37 Earth Sciences 3709 Physical Geography and Environmental Geoscience 3705 Geology 13 Climate Action |
description |
<jats:title>SUMMARY</jats:title><jats:p>Reciprocity theorems are established for the elastic sea level fingerprint problem including rotational feedbacks. In their simplest form, these results show that the sea level change at a location x due to melting a unit point mass of ice at x′ is equal to the sea level change at x′ due to melting a unit point mass of ice at x. This identity holds irrespective of the shoreline geometry or of lateral variations in elastic Earth structure. Using the reciprocity theorems, sensitivity kernels for sea level and related observables with respect to the ice load can be readily derived. It is notable that calculation of the sensitivity kernels is possible using standard fingerprint codes, though for some types of observable a slight generalization to the fingerprint problem must be considered. These results are of use within coastal hazard assessment and have a range of applications within studies of modern-day sea level change. To illustrate the latter point, we use sensitivity kernels to investigate two widely used methods for estimating, respectively, ice sheet mass loss from satellite gravity, and rates of global mean sea level rise from satellite altimetry. Though our analysis is idealized in some respects, we identify systematic errors of order 5 per cent due to the use of simplified sea level physics. Crucially, calculation of the relevant sensitivity kernels provides not only a means for understanding sources of bias in existing methods, but will aid in the design of new and improved data-assimilation techniques.</jats:p> |
format |
Article in Journal/Newspaper |
author |
Al-Attar, D Syvret, F Crawford, O Mitrovica, JX Lloyd, AJ |
author_facet |
Al-Attar, D Syvret, F Crawford, O Mitrovica, JX Lloyd, AJ |
author_sort |
Al-Attar, D |
title |
Reciprocity and sensitivity kernels for sea level fingerprints |
title_short |
Reciprocity and sensitivity kernels for sea level fingerprints |
title_full |
Reciprocity and sensitivity kernels for sea level fingerprints |
title_fullStr |
Reciprocity and sensitivity kernels for sea level fingerprints |
title_full_unstemmed |
Reciprocity and sensitivity kernels for sea level fingerprints |
title_sort |
reciprocity and sensitivity kernels for sea level fingerprints |
publisher |
Oxford University Press (OUP) |
publishDate |
2023 |
url |
https://www.repository.cam.ac.uk/handle/1810/361501 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
https://www.repository.cam.ac.uk/handle/1810/361501 |
op_rights |
Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/ |
_version_ |
1789333478638092288 |