Reduction Methods in Climate Dynamics -- A Brief Review

TL;DR

This paper reviews various mathematical reduction methods used in climate modeling, emphasizing those with rigorous foundations and illustrating their applications through benchmark examples.

Contribution

It provides a comprehensive overview of reduction techniques in climate dynamics, highlighting their mathematical basis and practical relevance.

Findings

Identification of key reduction methods with rigorous foundations

Illustration of methods through climate modeling benchmarks

Clarification of mathematical ideas behind each reduction technique

Abstract

We review a range of reduction methods that have been, or may be useful for connecting models of the Earth's climate system of differing complexity. We particularly focus on methods where rigorous reduction is possible. We aim to highlight the main mathematical ideas of each reduction method and also provide several benchmark examples from climate modelling.