Global stability and tipping point prediction in a coral–algae model using landscape–flux theory
Li Xu,Denis D. Patterson,Simon Asher Levin,and Jin Wang
Li Xu
State Key Laboratory of Electroanalytical Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun, Jilin, 130022, PR China
Denis D. Patterson
Department of Mathematical Sciences, Durham University, Upper Mountjoy Campus, Stockton Road, Durham DH1 3LE, UK
High Meadows Environmental Institute, Princeton University, Princeton, NJ 08544, USA
Department of Chemistry and of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, NY 11794-3400, USA
Viewed
Since the preprint corresponding to this journal article was posted outside of Copernicus Publications, the preprint-related metrics are limited to HTML views.
Total article views: 4,234 (including HTML, PDF, and XML)
HTML
PDF
XML
Total
Supplement
BibTeX
EndNote
3,841
319
74
4,234
81
66
73
HTML: 3,841
PDF: 319
XML: 74
Total: 4,234
Supplement: 81
BibTeX: 66
EndNote: 73
Views and downloads (calculated since 24 Jan 2025)
Cumulative views and downloads
(calculated since 24 Jan 2025)
Total article views: 2,431 (including HTML, PDF, and XML)
HTML
PDF
XML
Total
Supplement
BibTeX
EndNote
2,046
319
66
2,431
81
66
73
HTML: 2,046
PDF: 319
XML: 66
Total: 2,431
Supplement: 81
BibTeX: 66
EndNote: 73
Views and downloads (calculated since 12 Sep 2025)
Cumulative views and downloads
(calculated since 12 Sep 2025)
Total article views: 1,803 (including HTML, PDF, and XML)
HTML
PDF
XML
Total
BibTeX
EndNote
1,795
0
8
1,803
0
0
HTML: 1,795
PDF: 0
XML: 8
Total: 1,803
BibTeX: 0
EndNote: 0
Views and downloads (calculated since 24 Jan 2025)
Cumulative views and downloads
(calculated since 24 Jan 2025)
Viewed (geographical distribution)
Since the preprint corresponding to this journal article was posted outside of Copernicus Publications, the preprint-related metrics are limited to HTML views.
Total article views: 4,234 (including HTML, PDF, and XML)
Thereof 4,157 with geography defined
and 77 with unknown origin.
Total article views: 2,431 (including HTML, PDF, and XML)
Thereof 2,356 with geography defined
and 75 with unknown origin.
Total article views: 1,803 (including HTML, PDF, and XML)
Thereof 1,801 with geography defined
and 2 with unknown origin.
Predicting sudden changes in ecosystems is a major challenge in ecology. Using a framework called the non-equilibrium landscape and flux theory, we studied how ecosystems shift between stable states. Focusing on coral reefs, we identified early warning signals that detect critical transitions earlier than traditional methods. This approach could help predict catastrophic changes in various ecosystems, offering valuable insights for conservation efforts.
Predicting sudden changes in ecosystems is a major challenge in ecology. Using a framework...