Articles | Volume 28, issue 1
Nonlin. Processes Geophys., 28, 153–166, 2021
Nonlin. Processes Geophys., 28, 153–166, 2021

Research article 03 Mar 2021

Research article | 03 Mar 2021

An early warning sign of critical transition in the Antarctic ice sheet – a data-driven tool for a spatiotemporal tipping point

Abd AlRahman AlMomani and Erik Bollt

Related subject area

Subject: Predictability, probabilistic forecasts, data assimilation, inverse problems | Topic: Climate, atmosphere, ocean, hydrology, cryosphere, biosphere | Techniques: Theory
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Cited articles

Agency, E. S.: ESR: Larsen C Crack Interferogram. Contains modified Copernicus Sentinel data (2017), processed by A. Hogg/CPOM/Priestly Centre, available at:, (last access: 28 April 2020), 2017. a
AlMomani, A. and Bollt, E.: Go With the Flow, on Jupiter and Snow. Coherence from Model-Free Video Data Without Trajectories, J. Nonlinear Sci., 30, 2375–2404,, 2018. a, b, c
Al Momani, A. A. R. R.: Coherence from Video Data Without Trajectories: A Thesis, PhD thesis, Clarkson University, USA, 2017. a
Bassan, M.: Advanced interferometers and the search for gravitational waves, Astrophys. Space Sc. L., 404, 275–290, 2014. a
Bollt, E. and Santitissadeekorn, N.: Applied and Computational Measurable Dynamics, Society for Industrial and Applied Mathematics, ISBN 978-1-611972-63-4,, 2013. a
Short summary
This paper introduces a tool for data-driven discovery of early warning signs of critical transitions in ice shelves from remote sensing data. Our directed spectral clustering method considers an asymmetric affinity matrix along with the associated directed graph Laplacian. We applied our approach to reprocessing the ice velocity data and remote sensing satellite images of the Larsen C ice shelf.