Inverse Methods in Global Biogeochemical Cycles, Geophysical Methods 114
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More About This Title Inverse Methods in Global Biogeochemical Cycles, Geophysical Methods 114

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Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 114.

Our understanding of biogeochemical cycles is directly related to the research and analyses we bring to them, and to our critical sense of the methods we use. Of primary importance here are the theories behind, and our use of, inverse methods and data assimilation techniques across a multidisciplinary context that includes atmosphere-biosphere and atmosphere-ocean interactions, atmospheric chemistry, physical oceanography, and ocean biogeochemistry. Certainly, researchers in many earth system science disciplines, whether novice or expert, will benefit from the breadth and depth we have brought to the topics discussed in this monograph. At the same time, we have provided readers with a unique opportunity to enhance their research acumen and their understanding of ways and means. Toward this end, this monograph consists of a tutorial section with problem sets for use by readers who wish to test and enhance their knowledge, and a research section that showcases some of the latest scientific results from use of the aforementioned methods in a variety of earth science disciplines.

English

Prasad Kasibhatla and Martin Heimann are the authors of Inverse Methods in Global Biogeochemical Cycles, published by Wiley.

English

Preface
Prasad S. Kasibhatla vii

Introduction and Overview
Martin Heimann and Prasad S. Kasibhatla 1

TUTORIAL SECTION: MATHEMATICAL TOOLS AND TECHNIQUES

Measurement Equation for Trace Chemicals in Fluids and Solution of its Inverse
Ronald G. Prinn 3

Green's Function Methods of Tracer Inversion
I. G. Enting 19

Tangent Linear and Adjoint Biogeochemical Models
Raif Giering 33

Estimation Theory and Atmospheric Data Assimilation
Ricardo Todling 49

Tracer Assimilation
Richard Menard 67

TUTORIAL SECTION: EXERCISES

Exercises
P. J . Rayner, R. . Giering, T. Kaminski, R. Menard, R. Todling, and C. M. Trudinger 81

TUTORIAL SECTION: APPLICATIONS

Applying the Adjoint Method for Biogeochemical Modeling: Export of Particulatve Organic Matter in the World Ocean
Reiner Schlitzer 107

Environmental Information Extraction From Satellite Remote Sensing Data
Michel M . Verstraete and Bernard Pinty 125

RESEARCH SECTION

Nonlinear Kalman Filters for Atmospheric Chemistry Models
Arjo Segers, Arnold Heemink, Martin Vedaan, and Maarten van Loon 139

Inverse Modelling of Sulfur Emissions in Europe Based on Trajectories
Petra Seibert 147

A Comparison Between Interpolation and Assimilatioans Cartography Methods for the SAGEI I Aerosol Product
Ghislain Franssens, Dominique Fonteyn, Martine DeMaziere, and Didier Fussen 155

Paleonutrient Data Analysis of the Glacial Atlantic Using an Adjoint Ocean General Circulation Model
A. M. E. Winguth, D. Archer, E. Maier-Reimer, and U. Mikolajewicz  171


Deep Water Formation Rates Inferred from Global Tracer Distributions: An Inverse Model
S. Peacock, M. Visbeck, and W. Broecker 185

Comparisons of Simulations of a Marine Ecosystem Model With CZCS Data in the North Indian Ocean
M. K. Sharada and K. S. Yajnik 197

Nonlinear Inversions of a Model of the Oceanic Dissolved-Particulate  Exchanges
Voronique Athias, Pierre Mazzega, and Catherine Jeandel 205

On the Assimilation and Inversion of Small Data Sets Under Chaotic Regimes
Pierre Mazzega 223

Synthesis Inversion of Atmospheric CO2 Using the NIRE Chemical Transport Model
Shoichi Taguchi 239

Calculating CO2 Fluxes by Data Assimilation Coupled to a Three Dimensional MassBalance Inversion
R. J. Dargaville and I. Sirnrnonds 255

A Time-Dependent Assimilation  and Source Retrieval Technique for Atmospheric Tracers
Lori Bruhwiler, Pieter Tans, and Michel Rarnonet 265

An Inversion Method for Determining Time-dependent Surface CO2 Fluxes
David F. Baker 279

Differences of CO2 Flux Estimates Based on a Time-Independent Versus a Time-Dependennt Iversion Method
Philippe Peylin, Philippe Bousquet, Philippe Ciais, and Patrick Monfray 295

The CO2 Budget and Rectification Airborne Study: Strategies for Measuring Rectifiers and Regional Fluxes
Britton B. Stephens, Steven C. Wofsy,   Ralph F. Keeling,  Peter P. Tans, and Mark J. Potosnak 311

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