Nonlinear and Stochastic Climate Dynamics

This edited volume discusses the recent developments and current research questions in nonlinear and stochastic climate dynamics.

Christian L. E. Franzke (Edited by), Terence J. O'Kane (Edited by)

9781107118140, Cambridge University Press

Hardback, published 19 January 2017

466 pages, 45 b/w illus. 78 colour illus.
26.3 x 18.6 x 3 cm, 1.06 kg

It is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for climate scientists and applied mathematicians.

Preface
1. Challenges for ice age dynamics: a dynamical systems perspective Michel Crucifix, Guillaume Lenoir and Takahito Mitsui
2. Tipping points in the climate system Peter Ditlevsen
3. Atmospheric teleconnection patterns Steven B. Feldstein and Christian L. E. Franzke
4. Atmospheric regimes: the link between weather and the large scale circulation David M. Straus, Franco Molteni and Susanna Corti
5. Low-frequency regime transitions and predictability of regimes in a barotropic model Balu T. Nadiga and Terence J. O'Kane
6. Complex network techniques for climatological data analysis Reik V. Donner, Marc Wiedermann and Jonathan F. Donges
7. On inference and validation of causality relations in climate teleconnections Illia Horenko, Susanne Gerber, Terence J. O'Kane, James S. Risbey and Didier P. Monselesan
8. Stochastic climate theory Georg A. Gottwald, Daan T. Crommelin and Christian L. E. Franzke
9. Stochastic subgrid modelling for geophysical and three-dimensional turbulence Jorgen S. Frederiksen, Vassili Kitsios, Terence J. O'Kane and Meelis J. Zidikheri
10. Model error in data assimilation John Harlim
11. Long-term memory in climate: detection, extreme events, and signi?cance of trends Armin Bunde and Josef Ludescher
12. Fractional stochastic models for heavy tailed, and long-range dependent, ?uctuations in physical systems Nicholas Watkins
13. Modelling spatial extremes using max-stable process Mathieu Ribatet
14. Extreme value analysis in dynamical systems: two case studies Tamás Bódai
Index.

Subject Areas: Meteorology & climatology [RBP], Oceanography [seas RBKC], Earth sciences [RB], Atmospheric physics [PHVJ], Mathematical modelling [PBWH]