Climate Models with Delay Differential Equations
Year: 2020
Type: dissertation
Abstract: This study investigates the use of delay differential equations (DDEs) in conceptual climate modelling, with particular emphasis on the energy balance model (EBM). The research introduces the theoretical foundations of DDEs and demonstrates their relevance in representing delayed feedback processes inherent in climate systems. Numerical methods for solving DDEs are explored, including the Haar wavelet method and the pydelay solver implemented in Python. Using these tools, several illustrative delay models are analysed, and the energy balance model is reformulated as a delay process to study the effects of time-lagged temperature–albedo feedback. The numerical results show that the delay parameter plays a critical role in determining system stability and long-term behaviour, highlighting the usefulness of DDEs in capturing essential climate dynamics within simplified, computationally efficient models
Author: Malata, Hedson
Language: English
Subfield: Global and Planetary Change
Field: Environmental Science
Domain: Physical Sciences
SDG: Climate action
Open Access status: green
OpenAlex ID: W7126158331