Stochastic Physics and Climate Modelling

Preface Tim Palmer and Paul Williams Introduction: stochastic physics and climate modelling Tim Palmer and Paul Williams 1. Mechanisms of climate variability from years to decades Geoffrey Vallis 2. Empirical model reduction and the modeling hierarchy in climate dynamics and the geosciences Sergey Kravtsov, Dmitri Kondrashov and Michael Ghil 3. An applied mathematics perspective on stochastic modelling for climate Andrew J. Majda, Christian Franzke and Boualem Khouider 4. Predictability in nonlinear dynamical systems with model uncertainty Jinqiao Duan 5. On modelling physical systems with stochastic models: diffusion versus Levy processes Cecile Penland and Brian D. Ewald 6. First passage time analysis for climate prediction Peter C. Chu 7. Effects of stochastic parametrization on conceptual climate models Daniel S. Wilks 8. Challenges in stochastic modelling of quasigeostrophic turbulence Timothy DelSole 9. Orientation of eddy fluxes in geostrophic turbulence Balasubramanya T. Nadiga 10. Stochastic theories for the irregularity of ENSO Richard Kleeman 11. Stochastic models of the meridional overturning circulation: time scales and patters of variability Adam H. Monahan, Julie Alexander and Andrew J. Weaver 12. A stochastic dynamical systems view of the Atlantic Multidecadal Oscillation Henk A. Dijkstra, Leela M. Frankcombe and Anna S. von der Heydt 13. Centennial-to-millennial-scale Holocene climate variability in the North Atlantic region induced by noise Matthias Prange, Jochen I. Jongma and Michael Schulz 14. Cloud radiative interactions and their uncertainty in climate models Adrian Tompkins and Francesca Di Giuseppe 15. Impact of a quasi-stochastic cellular automaton backscatter scheme on the systematic error and seasonal prediction skill of a global climate model Judith Berner, Francisco Doblas-Reyes, Tim Palmer, Glenn J. Shutts and Antje Weisheimer 16. Rethinking convective quasi-equilibrium: observational constraints for stochastic convective schemes in climate models J. David Neelin, Ole Peters, Katrina Hales, Christopher E. Holloway and Johnny W. B. Lin 17. Comparison of stochastic parametrization approaches in a single-column model Michael A. W. Ball and Robert S. Plant 18. Stochastic parametrization of multiscale processes using a dual-grid approach Thomas Allen, Glenn J. Shutts and Judith Berner Index.

[1]  J Berner,et al.  Impact of a quasi-stochastic cellular automaton backscatter scheme on the systematic error and seasonal prediction skill of a global climate model , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[2]  Peter Lynch,et al.  The Emergence of Numerical Weather Prediction: Richardson's Dream , 2006 .

[3]  T. Palmer.  A nonlinear dynamical perspective on model error: A proposal for non‐local stochastic‐dynamic parametrization in weather and climate prediction models , 2001 .

[4]  J. Neelin,et al.  Rethinking convective quasi-equilibrium: observational constraints for stochastic convective schemes in climate models , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[5]  B. Nadiga.  Orientation of eddy fluxes in geostrophic turbulence , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[6]  L. Frankcombe,et al.  A stochastic dynamical systems view of the Atlantic Multidecadal Oscillation , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[7]  A. Weaver,et al.  Stochastic models of the meridional overturning circulation: time scales and patterns of variability , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[8]  G. Shutts,et al.  Stochastic parametrization of multiscale processes using a dual-grid approach , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[9]  N. Stern.  The Economics of Climate Change: Implications of Climate Change for Development , 2007 .

[10]  Andrew J Majda,et al.  An applied mathematics perspective on stochastic modelling for climate , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[11]  Richard Kleeman,et al.  Stochastic theories for the irregularity of ENSO , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[12]  Brian D. Ewald,et al.  On modelling physical systems with stochastic models: diffusion versus Lévy processes , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[13]  C. E. Puente,et al.  The Essence of Chaos , 1995 .

[14]  D. Wilks.  Effects of stochastic parametrization on conceptual climate models , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[15]  R. Plant,et al.  Comparison of stochastic parametrization approaches in a single-column model , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.