Peter Imkeller P., von Storch J.-S. (eds.) Stochastic Climate Models

Basel: Birkhäuser, 2001. — 412 p.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 modeling within the general framework of climate research and mathematical modeling. 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 modeling 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 modeling investigations.A gallery of simple models from climate physics
Simple climate models
Complex climate models — tools for studying the origin of stochasticity in the climate system
Some mathematical aspects of the GCMsHasselmann’s program revisited: the analysis of stochasticity in deterministic climate models
Thermodynamic formalism, large deviation, and multifractals
Averaging and climate models
Dynamical systems with time scale separation: averaging, stochastic modeling, and central limit theoremsEnergy balance models — viewed from stochastic dynamics
Exponential stability of the quasigeostrophic equation under random perturbations
A mini course on stochastic partial differential equations
Hasselmann’s stochastic climate model viewed from a statistical mechanics perspectiveConstrained stochastic forcing
Stochastic resonance and noise-induced phase coherence
Stochastic confinement of Rossby waves by fluctuating eastward flows
Some mathematical remarks concerning the localisation of planetary waves in a stochastic background flow
Rossby waves in a stochastically fluctuating medium
Passive tracer transport in stochastic flows