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Birkhäuser

Stochastic Climate Models

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Peter Imkeller

    1. Institut für Mathematik, Humboldt-Universität zu Berlin, Berlin, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Jin-Song Storch

    1. Institut für Meteorologie, Universität Hamburg, Hamburg, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Probability (PRPR, volume 49)

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Table of contents (18 papers)

  1. Front Matter

    Pages i-xxvii
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  2. The Hierarchy of Climate Models

    1. Front Matter

      Pages 1-1
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    2. A gallery of simple models from climate physics

      • Dirk Olbers
      Pages 3-63

    3. Simple climate models

      • Klaus Fraedrich
      Pages 65-100

    4. Complex climate models — tools for studying the origin of stochasticity in the climate system

      • Jin-Song von Storch
      Pages 101-116

    5. Some mathematical aspects of the GCMs

      • Roger Temam
      Pages 117-138

  3. The Emergence of Randomness: Chaos, Averaging, Limit Theorems

    1. Front Matter

      Pages 139-139
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    2. Hasselmann’s program revisited: the analysis of stochasticity in deterministic climate models

      • Ludwig Arnold
      Pages 141-157

    3. Thermodynamic formalism, large deviation, and multifractals

      • Manfred Denker, Marc Kesseböhmer
      Pages 159-169

    4. Averaging and climate models

      • Yuri Kifer
      Pages 171-188

    5. Dynamical systems with time scale separation: averaging, stochastic modelling, and central limit theorems

      • Christian Rödenbeck, Christian Beck, Holger Kantz
      Pages 189-209

  4. Tools and Methods: SDE, Dynamical Systems, SPDE, Multiscale Techniques

    1. Front Matter

      Pages 211-211
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    2. Energy balance models — viewed from stochastic dynamics

      • Peter Imkeller
      Pages 213-240

    3. Exponential stability of the quasigeostrophic equation under random perturbations

      • Jinqiao Duan, Peter E. Kloeden, Björn Schmalfuss
      Pages 241-256

    4. A mini course on stochastic partial differential equations

      • Jerzy Zabczyk
      Pages 257-284

    5. Hasselmann’s stochastic climate model viewed from a statistical mechanics perspective

      • Peter Müller
      Pages 285-295

  5. Reduced Stochastic Models and Particular Techniques

    1. Front Matter

      Pages 297-297
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    2. Constrained stochastic forcing

      • Joseph Egger
      Pages 299-308

    3. Stochastic resonance and noise-induced phase coherence

      • Jan A. Freund, Alexander Neiman, Lutz Schimansky-Geier
      Pages 309-323

    4. Stochastic confinement of Rossby waves by fluctuating eastward flows

      • Adam Hugh Monahan, Lionel Pandolfo, Peter Imkeller
      Pages 325-343
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Keywords

About this book

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 high­ 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 app­ 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.

Reviews

"The proceedings of the workshop on Stochastic Climate Models, held in Chorin in 1999, present an exiting and stimulating summary of probabilistic developments in climate physics.  Stochastic processes, stochastic and partial differential equations, random dynamical systems, local and large deviations asymptotic procedures, have comprised the most actice mathematical areas in teh field over the past 30 years, since Klaus Haselmann suggested a climate stochastic model where weather fluctuations randomly force the climate in the same way that fluid modecules forse Brownian pollen particles. . . The structure of the book reflects its aim to review and explain recent matheamtical additions to the list of tools for climate modelling, to help the climate physicists to understand what these tools are about. . . The book is strongly recommended as an excellent source or information and inspiration, both to mathematicians and physicists interested in the field."

---EMS NEWSLETTER

Editors and Affiliations

  • Institut für Mathematik, Humboldt-Universität zu Berlin, Berlin, Germany

    Peter Imkeller

  • Institut für Meteorologie, Universität Hamburg, Hamburg, Germany

    Jin-Song Storch

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