<p>The author describes the stochastic (probabilistic) approach to the study of changes in the climate system. Climatic data and theoretical considerations suggest that a large part of climatic variation/variability has a random nature and can be analyzed using the theory of stochastic processes. Th
Stochastic Climate Models
β Scribed by Dirk Olbers (auth.), Peter Imkeller, Jin-Song von Storch (eds.)
- Publisher
- BirkhΓ€user Basel
- Year
- 2001
- Tongue
- English
- Leaves
- 412
- Series
- Progress in Probability 49
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The proceedings of the summer 1999 Chorin workshop on stochastic climate models captures well the spirit of enthusiasm of the workshop participants engaged in research in this exciting field. It is amazing that nearly 25 years after the formal theory of natural climate variability generated by quasi-white-noise weather forcing was developed, and almost 35 years after J . M. Mitchell first suggested this mechanism as the origin of sea-surf ace-temperature fluctuations and climate variability, there have arisen so many fresh perspectives and new applications of the theory. The workshop has succeeded admirably in highΒ lighting these new aspects while clarifying the position of stochastic climate modelling within the general framework of climate research and mathematical modelling. The organizers can be congratulated in bringing together leading researchers covering a wide range of scientific expertise, from mathematicians concerned with the derivation of stochastic models from first principles, to appΒ lied climate modellers trying to understand the dynamics of the complex climate system. Following the first burst of stochastic modelling papers in the decade from the mid-seventies to the mid-eighties, in which the viability of the concept was demonstrated using relatively simple conceptual models, there was a lull of work in this field. One awaited the development of more sophisticated climate models with which one could carry out realistic quantitative analyses of the implications of stochastic forcing for the global climate system. Now that these models have become widely available, it is natural that one is witnessing a resurgence of stochastic modelling investigations.
β¦ Table of Contents
Front Matter....Pages i-xxvii
Front Matter....Pages 1-1
A gallery of simple models from climate physics....Pages 3-63
Simple climate models....Pages 65-100
Complex climate models β tools for studying the origin of stochasticity in the climate system....Pages 101-116
Some mathematical aspects of the GCMs....Pages 117-138
Front Matter....Pages 139-139
Hasselmannβs program revisited: the analysis of stochasticity in deterministic climate models....Pages 141-157
Thermodynamic formalism, large deviation, and multifractals....Pages 159-169
Averaging and climate models....Pages 171-188
Dynamical systems with time scale separation: averaging, stochastic modelling, and central limit theorems....Pages 189-209
Front Matter....Pages 211-211
Energy balance models β viewed from stochastic dynamics....Pages 213-240
Exponential stability of the quasigeostrophic equation under random perturbations....Pages 241-256
A mini course on stochastic partial differential equations....Pages 257-284
Hasselmannβs stochastic climate model viewed from a statistical mechanics perspective....Pages 285-295
Front Matter....Pages 297-297
Constrained stochastic forcing....Pages 299-308
Stochastic resonance and noise-induced phase coherence....Pages 309-323
Stochastic confinement of Rossby waves by fluctuating eastward flows....Pages 325-343
Some mathematical remarks concerning the localisation of planetary waves in a stochastic background flow....Pages 345-368
Rossby waves in a stochastically fluctuating medium....Pages 369-384
Passive tracer transport in stochastic flows....Pages 385-398
β¦ Subjects
Mathematics, general
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