Tropical Intraseasonal Variability and the Stochastic Skeleton Method

Description

In this text, modern applied mathematics and physical insight are used to construct the simplest and first nonlinear dynamical model for the Madden-Julian oscillation (MJO), i.e. the stochastic skeleton model. This model captures the fundamental features of the MJO and offers a theoretical prediction of its structure, leading to new detailed methods to identify it in observational data. The text contributes to understanding and predicting intraseasonal variability, which remains a challenging task in contemporary climate, atmospheric, and oceanic science. In the tropics, the Madden-Julian oscillation (MJO) is the dominant component of intraseasonal variability. One of the strengths of this text is demonstrating how a blend of modern applied mathematical tools, including linear and nonlinear partial differential equations (PDEs), simple stochastic modeling, and numerical algorithms, have been used in conjunction with physical insight to create the model. These tools are also applied in developing several extensions of the model in order to capture additional features of the MJO, including its refined vertical structure and its interactions with the extratropics. This book is of interest to graduate students, postdocs, and senior researchers in pure and applied mathematics, physics, engineering, and climate, atmospheric, and oceanic science interested in turbulent dynamical systems as well as other complex systems. Front Matter ....Pages i-ix Introduction (Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual)....Pages 1-4 The Deterministic Skeleton Model and Observed Features of the MJO (Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual)....Pages 5-27 A Stochastic Skeleton Model for the MJO (Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual)....Pages 29-48 Tropical–Extratropical Interactions and the MJO Skeleton Model (Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual)....Pages 49-66 New Indices for Observations of Tropical Variability Based on the Skeleton Model and a Model for the Walker Circulation (Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual)....Pages 67-92 Refined Vertical Structure in the Stochastic Skeleton Model for the MJO (Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual)....Pages 93-112 Current and Future Research Perspectives (Andrew J. Majda, Samuel N. Stechmann, Shengqian Chen, H. Reed Ogrosky, Sulian Thual)....Pages 113-120 Back Matter ....Pages 121-123