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A delay equation model for the Atlantic Multidecadal Oscillation
journal contribution
posted on 2023-05-21, 06:46 authored by Falkena, SKJ, Courtney QuinnCourtney Quinn, Sieber, J, Dijkstra, HAA new technique to derive delay models from systems of partial differential equations, based on the Mori–Zwanzig (MZ) formalism, is used to derive a delay-difference equation model for the Atlantic Multidecadal Oscillation (AMO). The MZ formalism gives a rewriting of the original system of equations, which contains a memory term. This memory term can be related to a delay term in a resulting delay equation. Here, the technique is applied to an idealized, but spatially extended, model of the AMO. The resulting delay-difference model is of a different type than the delay differential model which has been used to describe the El Niño Southern Oscillation. In addition to this model, which can also be obtained by integration along characteristics, error terms for a smoothing approximation of the model have been derived from the MZ formalism. Our new method of deriving delay models from spatially extended models has a large potential to use delay models to study a range of climate variability phenomena.
History
Publication title
Proceedings of the Royal Society AVolume
477Issue
2246Article number
20200659Number
20200659ISSN
1364-5021Department/School
School of Natural SciencesPublisher
Royal Soc LondonPlace of publication
6 Carlton House Terrace, London, England, Sw1Y 5AgRights statement
2021 The Author(s) Published by the Royal Society. All rights reserved.Repository Status
- Restricted