The tipping times in an Arctic sea ice system under influence of extreme events
In light of the rapid recent retreat of Arctic sea ice, the extreme weather events triggering the variability in Arctic ice cover has drawn increasing attention. A non-Gaussian $α$-stable Lévy process is thought to be an appropriate model to describe such extreme event. The maximal likely trajectory...
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ftdatacite:10.48550/arxiv.2003.02407 2023-05-15T14:36:55+02:00 The tipping times in an Arctic sea ice system under influence of extreme events Yang, Fang Zheng, Yayun Duan, Jinqiao Fu, Ling Wiggins, Stephen 2020 https://dx.doi.org/10.48550/arxiv.2003.02407 https://arxiv.org/abs/2003.02407 unknown arXiv https://dx.doi.org/10.1063/5.0006626 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Atmospheric and Oceanic Physics physics.ao-ph Dynamical Systems math.DS Chaotic Dynamics nlin.CD FOS Physical sciences FOS Mathematics article-journal Article ScholarlyArticle Text 2020 ftdatacite https://doi.org/10.48550/arxiv.2003.02407 https://doi.org/10.1063/5.0006626 2022-03-10T15:59:14Z In light of the rapid recent retreat of Arctic sea ice, the extreme weather events triggering the variability in Arctic ice cover has drawn increasing attention. A non-Gaussian $α$-stable Lévy process is thought to be an appropriate model to describe such extreme event. The maximal likely trajectory, based on the nonlocal Fokker-Planck equation, is applied to a nonautonomous Arctic sea ice system under $α$-stable Lévy noise. Two types of tipping times, the early-warning tipping time and the disaster-happening tipping time, are used to predict the critical time for the maximal likely transition from a perennially ice-covered state to a seasonally ice-free one, and from a seasonally ice-free state to a perennially ice-free one, respectively. We find that the increased intensity of extreme events results in shorter warning time for sea ice melting, and that an enhanced greenhouse effect will intensify this influence, making the arrival of warning time significantly earlier. Meanwhile, for the enhanced greenhouse effect, we discover that increased intensity and frequency of extreme events will advance the disaster-happening tipping time, in which an ice-free state is maintained throughout the year in the Arctic Ocean. Finally, we identify values of Lévy index $α$ and noise intensity $ε$ in $αε$-space that can trigger a transition between the Arctic sea ice state. These results provide an effective theoretical framework for studying Arctic sea ice variations under the influence of extreme events. Article in Journal/Newspaper Arctic Arctic Ocean Sea ice DataCite Metadata Store (German National Library of Science and Technology) Arctic Arctic Ocean |
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DataCite Metadata Store (German National Library of Science and Technology) |
op_collection_id |
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topic |
Atmospheric and Oceanic Physics physics.ao-ph Dynamical Systems math.DS Chaotic Dynamics nlin.CD FOS Physical sciences FOS Mathematics |
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Atmospheric and Oceanic Physics physics.ao-ph Dynamical Systems math.DS Chaotic Dynamics nlin.CD FOS Physical sciences FOS Mathematics Yang, Fang Zheng, Yayun Duan, Jinqiao Fu, Ling Wiggins, Stephen The tipping times in an Arctic sea ice system under influence of extreme events |
topic_facet |
Atmospheric and Oceanic Physics physics.ao-ph Dynamical Systems math.DS Chaotic Dynamics nlin.CD FOS Physical sciences FOS Mathematics |
description |
In light of the rapid recent retreat of Arctic sea ice, the extreme weather events triggering the variability in Arctic ice cover has drawn increasing attention. A non-Gaussian $α$-stable Lévy process is thought to be an appropriate model to describe such extreme event. The maximal likely trajectory, based on the nonlocal Fokker-Planck equation, is applied to a nonautonomous Arctic sea ice system under $α$-stable Lévy noise. Two types of tipping times, the early-warning tipping time and the disaster-happening tipping time, are used to predict the critical time for the maximal likely transition from a perennially ice-covered state to a seasonally ice-free one, and from a seasonally ice-free state to a perennially ice-free one, respectively. We find that the increased intensity of extreme events results in shorter warning time for sea ice melting, and that an enhanced greenhouse effect will intensify this influence, making the arrival of warning time significantly earlier. Meanwhile, for the enhanced greenhouse effect, we discover that increased intensity and frequency of extreme events will advance the disaster-happening tipping time, in which an ice-free state is maintained throughout the year in the Arctic Ocean. Finally, we identify values of Lévy index $α$ and noise intensity $ε$ in $αε$-space that can trigger a transition between the Arctic sea ice state. These results provide an effective theoretical framework for studying Arctic sea ice variations under the influence of extreme events. |
format |
Article in Journal/Newspaper |
author |
Yang, Fang Zheng, Yayun Duan, Jinqiao Fu, Ling Wiggins, Stephen |
author_facet |
Yang, Fang Zheng, Yayun Duan, Jinqiao Fu, Ling Wiggins, Stephen |
author_sort |
Yang, Fang |
title |
The tipping times in an Arctic sea ice system under influence of extreme events |
title_short |
The tipping times in an Arctic sea ice system under influence of extreme events |
title_full |
The tipping times in an Arctic sea ice system under influence of extreme events |
title_fullStr |
The tipping times in an Arctic sea ice system under influence of extreme events |
title_full_unstemmed |
The tipping times in an Arctic sea ice system under influence of extreme events |
title_sort |
tipping times in an arctic sea ice system under influence of extreme events |
publisher |
arXiv |
publishDate |
2020 |
url |
https://dx.doi.org/10.48550/arxiv.2003.02407 https://arxiv.org/abs/2003.02407 |
geographic |
Arctic Arctic Ocean |
geographic_facet |
Arctic Arctic Ocean |
genre |
Arctic Arctic Ocean Sea ice |
genre_facet |
Arctic Arctic Ocean Sea ice |
op_relation |
https://dx.doi.org/10.1063/5.0006626 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.2003.02407 https://doi.org/10.1063/5.0006626 |
_version_ |
1766309443398533120 |