Universal early warning signals of phase transitions in climate systems.

Journal: Journal of the Royal Society, Interface
PMID:

Abstract

The potential for complex systems to exhibit tipping points in which an equilibrium state undergoes a sudden and often irreversible shift is well established, but prediction of these events using standard forecast modelling techniques is quite difficult. This has led to the development of an alternative suite of methods that seek to identify signatures of critical phenomena in data, which are expected to occur in advance of many classes of dynamical bifurcation. Crucially, the manifestations of these critical phenomena are generic across a variety of systems, meaning that data-intensive deep learning methods can be trained on (abundant) synthetic data and plausibly prove effective when transferred to (more limited) empirical datasets. This paper provides a proof of concept for this approach as applied to lattice phase transitions: a deep neural network trained exclusively on two-dimensional Ising model phase transitions is tested on a number of real and simulated climate systems with considerable success. Its accuracy frequently surpasses that of conventional statistical indicators, with performance shown to be consistently improved by the inclusion of spatial indicators. Tools such as this may offer valuable insight into climate tipping events, as remote sensing measurements provide increasingly abundant data on complex geospatially resolved Earth systems.

Authors

  • Daniel Dylewsky
    Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1.
  • Timothy M Lenton
    Global Systems Institute, University of Exeter, Exeter EX4 4PY, UK.
  • Marten Scheffer
    Department of Aquatic Ecology & Water Quality Management, Wageningen University, the Netherlands.
  • Thomas M Bury
    Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada N2L 3G1.
  • Christopher G Fletcher
    Department of Geography and Environmental Management, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1.
  • Madhur Anand
    School of Environmental Sciences, University of Guelph, Guelph, Ontario, Canada N1G 2W1.
  • Chris T Bauch
    Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada N2L 3G1; cbauch@uwaterloo.ca.