List of contributors ....................................... vii
Preface ..................................................... xi
1 Mechanisms of climate variability from years to decades ...... 1
Geoffrey K. Vallis
2 Empirical model reduction and the modelling hierarchy in
climate dynamics and the geosciences ........................ 35
Sergey Kravtsov, Dmitri Kondrashov and Michael Ghil
3 An applied mathematics perspective on stochastic modelling
for climate ................................................. 73
Andrew J. Majda, Christian Franzke and Boualem Khouider
4 Predictability in nonlinear dynamical systems with
model uncertainty .......................................... 105
Jinqiao Duan
5 On modelling physical systems with stochastic models:
diffusion versus Lévy processes ............................ 133
Cécile Penland and Brian D. Ewald
6 First passage time analysis for climate prediction ......... 157
Peter C. Chu
7 Effects of stochastic parameterisation on conceptual
climate models ............................................. 191
Daniel S. Wilks
8 Challenges in stochastic modelling of quasi-geostrophic
turbulence ................................................. 207
Timothy DelSole
9 Stochastic versus deterministic backscatter of potential
enstrophy in geostrophic turbulence ........................ 231
Balasubramanya T. Nadiga
10 Stochastic theories for the irregularity of ENSO ........... 248
Richard Kleeman
11 Stochastic models of the meridional overturning
circulation: time scales and patterns of variability ....... 266
Adam H. Monahan, Julie Alexander and Andrew J. Weaver
12 The Atlantic Multidecadal Oscillation: a stochastic
dynamical systems view ..................................... 287
Leela M. Frankcombe, Henk A. Dijkstra and Anna S. von der
Heydt
13 Centennial-to-millennial-scale Holocene climate
variability in the North Atlantic region induced by
noise ...................................................... 307
Matthias Prange, Jochem I. Jongma and Michael Schulz
14 Cloud-radiation interactions and their uncertainty in
climate models ............................................. 327
Adrian M. 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 ................. 375
Judith Berner, Francisco J. Doblas-Reyes, Tim N. Palmer,
Glenn J. Shutts and Antje Weisheimer
16 Rethinking convective quasi-equilibrium: observational
constraints for stochastic convective schemes in climate
models ..................................................... 396
J. David Neelin, Ole Peters, Johnny W.-B. Lin, Katrina
Hales and Christopher E. Holloway
17 Comparison of stochastic parameterisation approaches in
a single-column model ...................................... 424
Michael A. Ball and Robert S. Plant
18 Stochastic parameterisation of multiscale processes using
techniques from computer game physics ...................... 446
Thomas Allen, Glenn J. Shutts and Christopher J. Smith
Index ...................................................... 464
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