A description of the mathematical techniques used to interpret greenhouse gas sources and sinks.This book describes mathematical techniques for interpreting measurements of greenhouse gases in order to learn about their sources and sinks. The majority of the book gives general descriptions of techniques, but the last third covers the applications to carbon dioxide, methane, chlorofluorocarbons and other gases implicated in global change. It is aimed at beginning researchers and graduate students in courses such as earth systems science. Established researchers will find it invaluable due to its extensive referencing and the conceptual linking of the different techniques.This book describes mathematical techniques for interpreting measurements of greenhouse gases in order to learn about their sources and sinks. The majority of the book gives general descriptions of techniques, but the last third covers the applications to carbon dioxide, methane, chlorofluorocarbons and other gases implicated in global change. It is aimed at beginning researchers and graduate students in courses such as earth systems science. Established researchers will find it invaluable due to its extensive referencing and the conceptual linking of the different techniques.This book describes mathematical techniques for interpreting measurements of greenhouse gases in order to learn about their sources and sinks. The majority of the book gives general descriptions of techniques, but the last third covers the applications to carbon dioxide, methane, chlorofluorocarbons and other gases implicated in global change.Part I. Principles: 1. Introduction; 2. Atmospheric transport and transport models; 3. Estimation; 4. Time series estimation; 5. Observations of atmospheric composition; 6. The sources and sinks; 7. Problem formulation; 8. Ill-conditioning; 9. Analysis of model error; 10. Green's functions and synthesis inversion; 11. Time-stepping inversions; 12. Non-linear inversion techniques; 13. Experil“u