ALBERT

Note: Contents: 1 Introduction. - 2 What is science?. - 3 Choices, choices, choices. - 4 The adviser and thesis committee. - 5 Questions drive research. - 6 Giving direction to our work. - 7 Turning challenges into opportunities. - 8 Ethics of research. - 9 Using the scientific literature. - 10 Communication. - 11 Publishing a paper. - 12 Time management. - 13 Writing proposals. - 14 The scientific career. - 15 Applying for a job. - 16 Concluding remarks. - Appendix A. Futher reading. - Appendix B. A sample curriculum. - Appendix C. The Refer and BibTeX format. - References. - About the authors. - Index.

Note: Contents Preface 1 Data Analysis in Earth Sciences 1.1 Introduction 1.2 Collecting Data 1.3 Types of Data 1.4 Methods of Data Analysis Recommended Reading 2 Introduction to MATLAB 2.1 MATLAB in Earth Sciences 2.2 Getting Started 2.3 The Syntax 2.4 Data Storage 2.5 Data Handling 2.6 Scripts and Functions 2.7 Basic Visualization Tools Recommended Reading 3 Univariate Statistics 3.1 Introduction 3.2 Empirical Distributions Measures of Central Tendency Measures of Dispersion 3.3 Example of Empirical Distributions 3.4 Theoretical Distributions Uniform Distribution Binomial or Bernoulli Distribution Poisson Distribution Normal or Gaussian Distribution Logarithmic Normal or Log-Normal Distribution Student's t Distribution Fisher's F Distribution Χ2 or Chi-Squared Distribution 3.5 Example ofTheoretical Distributions 3.6 Thet-Test 3.7 TheF-Test 3.8 The Χ2-Test Recommended Reading 4 Bivariate Statistics 4.1 Introduction 4.2 Pearson's Correlation Coefficient 4.3 Classical Linear Regression Analysis and Prediction 4.4 Analyzing the Residuals 4.5 Bootstrap Estimates of the Regression Coefficients 4.6 Jackknife Estimates of the Regression Coefficients 4.7 Cross Validation 4.8 Reduced Major Axis Regression 4.9 Curvilinear Regression Recommended Reading 5 Time-Series Analysis 5.1 Introduction 5.2 Generating Signals 5.3 Blackman-Tukey Autospectral Analysis 5.4 Blackman-Tukey Crossspectral Analysis 5.5 Interpolating and Analyzing Unevenly-Spaced Data 5.6 Evolutionary Blackman-Tukey Powerspectrum 5.7 Lomb-Scargle Powerspectrum 5.8 Wavelet Powerspectrum 5.9 Nonlinear Time-Series Analysis (by N. Marwarn) Phase Space Portrait Recurrence Plots Recommended Reading 6 Signal Processing 6.1 Introduction 6.2 Generating Signals 6.3 Linear Time-Invariant Systems 6.4 Convolution and Filtering 6.5 Comparing Functions for Filtering Data Series 6.6 Recursive and Nonrecursive Filters 6.7 Impulse Response 6.8 Frequency Response 6.9 Filter Design 6.10 Adaptive Filtering Recommended Reading 7 Spatial Data 7.1 Types of Spatial Data 7.2 The GSHHS Shoreline Data Set 7.3 The 2-Minute Gridded Global Elevation Data ETOPO2 7.4 The 30-Arc Seconds Elevation Model GTOPO30 7.5 The Shuttle Radar Topography Mission SRTM 7.6 Gridding and Contouring Background 7.7 Gridding Example 7.8 Comparison of Methods and Potential Artifacts 7.9 Statistics of Point Distributions Test for Uniform Distribution Test for Random Distribution Test for Clustering 7.10 Analysis of Digital Elevation Models (by R. Gebbers) 7.11 Geostatistics and Kriging (by R. Gebbers) Theorical Background Preceding Analysis Variography with the Classical Variogram Kriging Discussion of Kriging Recommended Reading 8 Image Processing 8.1 Introduction 8.2 Datastorage 8.3 Importing, Processing and Exporting Images 8.4 Importing, Processing and Exporting Satellite Images 8.5 Georeferencing Satellite Images 8.6 Digitizing from the Screen Recommended Reading 9 Multivariate Statistics 9.1 Introduction 9.2 Principal Component Analysis 9.3 Independent Component Analysis (by N. Marwan) 9.4 Cluster Analysis Recommended Reading 10 Statistics on Directional Data 10.1 Introduction 10.2 Graphical Representation 10.3 Empirical Distributions 10.4 Theoretical Distributions 10.5 Test for Randomness of Directional Data 10.6 Test for the Significance of a Mean Direction 10.7 Test for the Difference of Two Sets of Directions Recommended Reading General Index

Note: Contents: Preface to First Edition. - Preface to Second Edition. - Preface to Third Edition. - Acknowledgments. - Part I The Periglacial Domain. - 1 Introduction. - 1.1 The Periglacial Concept. - 1.2 Disciplinary Considerations. - 1.2.1 The Growth of Geocryology. - 1.2.2 The Changing Nature of Quaternary Science. - 1.2.3 Modern Periglacial Geomorphology. - 1.3 The Growth of Periglacial Knowledge. - 1.4 The Periglacial Domain. - 1.5 The Scope of Periglacial Geomorphology. - 1.5.1 Permafrost-Related Processes and Landforms. - 1.5.2 Azonal Processes and Landforms. - 1.5.3 Paleo-Environmental Reconstruction. - 1.5.4 Applied Periglacial Geomorphology. - Advanced Reading. - Discussion Topics. - 2 Periglacial Landscapes?. - 2.1 Introduction. - 2.2 Proglacial, Paraglacial or Periglacial?. - 2.3 Unglaciated Periglacial Terrain. - 2.3.1 Beaufort Plain, Northwest Banks Island, Arctic Canada. - 2.3.2 Barn Mountains, Northern Interior Yukon Territory, Canada. - 2.4 Relict Periglacial Landscapes. - 2.4.1 Chalk Uplands, Southern England and Northern France. - 2.4.2 Pine Barrens, Southern New Jersey, Eastern USA. - 2.5 Conclusions. - Advanced Reading. - Discussion Topics. - 3 Periglacial Climates. - 3.1 Boundary Conditions. - 3.2 Periglacial Climates. - 3.2.1 High Arctic Climates. - 3.2.2 Continental Climates. - 3.2.3 Qinghai-Xizang (Tibet) Plateau. - 3.2.4 Alpine Climates. - 3.2.5 Climates of Low Annual Temperature Range. - 3.2.6 Antarctica: A Special Case. - 3.3 Ground Climates. - 3.3.1 The n-Factor. - 3.3.2 The Thermal Offset. - 3.4 Periglacial Climates and the Cryosphere. - Advanced Reading. - Discussion Topics. - Part II Present-Day Periglacial Environments. - 4 Cold-Climate Weathering. - 4.1 Introduction. - 4.2 Ground Freezing. - 4.2.1 The Freezing Process. - 4.2.2 Ice Segregation. - 4.2.3 The Frozen Fringe. - 4.2.4 Frost Heave. - 4.3 Freezing and Thawing. - 4.4 The Ground-Temperature Regime. - 4.4.1 The Seasonal Regime. - 4.4.2 Short-Term Fluctuations. - 4.5 Rock (Frost?) Shattering. - 4.5.1 Frost Action and Ice Segregation. - 4.5.2 Frost Weathering Models. - 4.5.3 Insolation Weathering and Thermal Shock. - 4.5.4 Discussion and Perspective. - 4.6 Chemical Weathering. - 4.6.1 General. - 4.6.2 Solution and Karstification. - 4.6.3 Salt Weathering. - 4.7 Cryogenic Weathering. - 4.8 Cryobiological Weathering. - 4.9 Cryopedology. - 4.9.1 Cryosols. - 4.9.2 Soil Micromorphology. - Advanced Reading. - Discussion Topics. - 5 Permafrost. - 5.1 Introduction. - 5.1.1 Definition. - 5.1.2 Moisture and Ice within Permafrost. - 5.2 Thermal and Physical Properties. - 5.2.1 The Geothermal Regime. - 5.2.2 Physical Properties. - 5.2.3 Thermal Properties. - 5.3 How Does Permafrost Aggrade?. - 5.3.1 General Principles. - 5.3.2 The Illisarvik Drained-Lake Experiment. - 5.4 Distribution of Permafrost. - 5.4.1 Latitudinal Permafrost. - 5.4.2 Alpine (Mountain) Permafrost. - 5.4.3 Montane Permafrost of Central Asia and China. - 5.5 Relict Permafrost. - 5.5.1 Sub-Sea Permafrost. - 5.5.2 Relict (Terrestrial) Permafrost. - 5.6 Permafrost Hydrology. - 5.6.1 Aquifers. - 5.6.2 Hydrochemistry. - 5.6.3 Groundwater Icings. - 5.7 Permafrost and Terrain Conditions. - 5.7.1 Relief and Aspect. - 5.7.2 Rock Type. - 5.7.3 Vegetation. - 5.7.4 Snow Cover. - 5.7.5 Fire. - 5.7.6 Lakes and Surface Water Bodies. - 5.8 The Active Layer. - 5.8.1 The Transient Layer. - 5.8.2 The Stefan Equation. - 5.8.3 Active-Layer Thermal Regime. - Advanced Reading. - Discussion Topics. - 6 Surface Features of Permafrost. - 6.1 Introduction. - 6.2 Thermal-Contraction-Crack Polygons. - 6.2.1 Coefficients of Thermal Expansion and Contraction. - 6.2.2 Ice, Sand, and Soil Wedges. - 6.2.3 Development of the Polygon Net. - 6.2.4 Polygon Morphology. - 6.2.5 Controls Over Cracking. - 6.2.6 Climatic Significance. - 6.3 Organic Terrain. - 6.3.1 Palsas. - 6.3.2 Peat Plateaus. - 6.4 Rock Glaciers. - 6.4.1 Creeping Permafrost. - 6.4.2 Types and Distribution. - 6.4.3 Origin. - 6.5 Frost Mounds. - 6.5.1 Perennial-Frost Mounds. - 6.5.2 Hydraulic (Open) System Pingos. - 6.5.3 Hydrostatic (Closed) System Pingos. - 6.5.4 Other Perennial-Frost Mounds. - 6.5.5 Seasonal-Frost Mounds. - 6.5.6 Hydrolaccoliths and Other Frost-Induced Mounds. - 6.6 Active-Layer Phenomena. - 6.6.1 Bedrock Heave. - 6.6.2 Needle Ice. - 6.6.3 Cryoturbation and Frost Heave. - 6.6.4 Frost Sorting. - 6.6.5 Patterned Ground. - Advanced Reading. - Discussion Topics. - 7 Ground lce. - 7.1 Introduction. - 7.2 Classification. - 7.2.1 Pore Ice. - 7.2.2 Segregated Ice. - 7.2.3 Intrusive Ice. - 7.2.4 Vein Ice. - 7.2.5 Other Types of Ice. - 7.3 Ice Distribution. - 7.3.1 Amounts. - 7.3.2 Distribution with Depth. - 7.3.3 Ice in Bedrock. - 7.3.4 Ice in Unconsolidated Sediments. - 7.4 Cryostratigraphy and Cryolithology. - 7.4.1 Cryostructures, Cryotextures, and Cryofacies. - 7.4.2 Epigenetic and Syngenetic Cryostructures. - 7.4.3 Thaw Unconformities. - 7.4.4 Ice Crystallography. - 7.4.5 Ice Geochemistry. - 7.4.6 Cryostratigraphy and Past Environments. - 7.5 Ice Wedges. - 7.5.1 Epigenetic Wedges. - 7.5.2 Syngenetic Wedges. - 7.5.3 Anti-Syngenetic Wedges. - 7.6 Massive Ice and Massive-Icy Bodies. - 7.6.1 Nature and Extent. - 7.6.2 Intra-Sedimental Ice. - 7.6.3 Buried Glacier Ice. - 7.6.4 Other Mechanisms. - Advanced Reading. - Discussion Topics. - 8 Thermokarst. - 8.1 Introduction. - 8.2 Causes of Thermokarst. - 8.2.1 General. - 8.2.2 Specific. - 8.3 Thaw-Related Processes. - 8.3.1 Thermokarst Subsidence. - 8.3.2 Thermal Erosion. - 8.3.3 Other Processes. - 8.4 Thermokarst Sediments and Structures. - 8.4.1 Involuted Sediments. - 8.4.2 Retrogressive-Thaw-Slumps and Debris-Flow Deposits. - 8.4.3 Ice-Wedge Pseudomorphs and Composite-Wedge Casts. - 8.4.4 Ice, Silt, Sand, and Gravel Pseudomorphs. - 8.5 Ice-Wedge Thermokarst Relief. - 8.5.1 Low-Centered Polygons. - 8.5.2 High-Centered Polygons. - 8.5.3 Badland Thermokarst Relief. - 8.6 Thaw Lakes and Depressions. - 8.6.1 Morphology. - 8.6.2 Growth and Drainage. - 8.6.3 Oriented Thaw Lakes. - 8.7 Thermokarst-Affected Terrain. - 8.7.1 The Lowlands of Central and Northern Siberia. - 8.7.2 The Western North American Arctic. - 8.8 Human-Induced Thermokarst. - 8.8.1 Causes. - 8.8.2 Case Studies. - Advanced Reading. - Discussion Topics. - 9 Hillslope Processes and Slope Evolution. - 9.1 Introduction. - 9.2 Slope Morphology. - 9.2.1 The Free-Face Model. - 9.2.2 Rectilinear Debris-Mantled Slopes. - 9.2.3 Convexo-Concavo Debris-Mantled Slopes. - 9.2.4 Pediment-Like Slopes. - 9.2.5 Stepped Profiles. - 9.3 Mass Wasting. - 9.4 Slow Mass-Wasting Processes. - 9.4.1 Solifluction. - 9.4.2 Frost Creep. - 9.4.3 Gelifluction. - 9.4.4 Solifluction Deposits and Phenomena. - 9.5 Rapid Mass Wasting. - 9.5.1 Active-Layer-Detachment Slides. - 9.5.2 Debris Flows, Slushflows, and Avalanches. - 9.5.3 Rockfall. - 9.6 Slopewash. - 9.6.1 Snow-Bank Hydrology. - 9.6.2 Surface and Subsurface Wash. - 9.7 Frozen and Thawing Slopes. - 9.7.1 Permafrost Creep. - 9.7.2 Thermokarst and Thaw Consolidation. - 9.7.3 Stability of Thawing Slopes. - 9.8 Cold-Climate Slope Evolution. - 9.8.1 Cryoplanation. - 9.8.2 Slope Replacement and Richter Denudation Slopes. - 9.8.3 Rapidity of Profile Change. - 9.8.4 Summary. - Advanced Reading. - Discussion Topics. - 10 Azonal Processes and Landforms. - 10.1 Introduction. - 10.2 Fluvial Processes and Landforms. - 10.2.1 Major Rivers. - 10.2.2 Freeze-Up and Break-Up. - 10.2.3 Basin Hydrology. - 10.2.4 Sediment Flow, Surface Transport, and Denudation. - 10.2.5 Fluvio-Thermal Erosion. - 10.2.6 Channel Morphology. - 10.2.7 Valley Asymmetry. - 10.3 Eolian Processes and Sediments. - 10.3.1 Wind Abrasion. - 10.3.2 Wind Deflation. - 10.3.3 Niveo-Eolian Sediments. - 10.3.4 Loess-Like Silt. - 10.3.5 Sand Dunes and San

Note: Contents Acknowledgments Chapter 1. Introduction 1.1 Discovery 1.2 General Introduction 1.3 Just for Fun — An Isotope Biography of Mr. Polychaete Chapter 2. Isotope Notation and Measurement Overview 2.1 The Necessary Minimum for Ecologists 2.2 Why Use the 5 Notation? 2.3 Why Is 8 a Good Substitute for % Heavy Isotope? 2.4 8 and the Ratio-of-Ratios 2.5 Chapter Summary Chapter 3. Using Stable Isotope Tracers Overview 3.1 Isotope Circulation in the Biosphere 3.2 Landscape Ecology and Isotope Maps 3.3 Community Ecology and Invasive Species in Food Webs 3.4 Life History Ecology and Animal Migrations 3.5 Plants, Microbes, and Scaling Up 3.6 Chapter Summary Chapter 4. Isotope Chi ("I Chi") Overview 4.1 Chocolate Isotopes 4.2 Oxygen in the Sea 4.3 Equations for Isotope Chi ("I Chi") 4.4 Building an I Chi Gain-Loss Model, Step by Step 4.5 Errors in I Chi Models 4.6 Exact Equations for I Chi Models 4.7 Cows in a Pasture 4.8 Chapter Summary Chapter 5. Mixing Overview 5.1 Isotope Mixing in Food Webs 5.2 Isotope Sourcery 5.3 Mixing Mechanics 5.4 Advanced Mixing Mechanics 5.5 Mixing Assumptions and Errors or the Art and Wisdom of Using Isotope Mixing Models 5.6 River Sulfate and Mass-Weighted Mixing 5.7 A Special Muddy Case and Mixing Through Time 5.8 The Qualquan Chronicles and Mixing Across Landscapes 5.9 Dietary Mixing, Turnover, and a Stable Isotope Clock 5.10 Chapter Summary Chapter 6. Isotope Additions Overview 6.1 Addition Addiction 6.2 The Golden Spike Award for Isotopes 6.3 Chapter Summary Chapter 7. Fractionation Overview 7.1 Fractionation Fundamentals 7.2 Isotopium and Fractionation in Closed Systems 7.3 A Strange and Routine Case 7.4 A Genuine Puzzle — Fractionation or Mixing? 7.5 Cracking the Closed Systems 7.6 Equilibrium Fractionation, Subtle Drama in the Cold 7.7 A Supply/Demand Model for Open System Fractionation 7.8 Open System Fractionation and Evolution of the Earth's Sulfur Cycle 7.9 Open System Legacies 7.10 Conducting Fractionation Experiments 7.11 Chapter Summary Chapter 8. Scanning the Future Overview 8.1 The Isotope Scanner 8.2 Mangrove Maude 8.3 The Beginner's Advantage—Imagine! 8.4 Chapter Summary Appendix. Important Isotope Equations and Useful Conversions Index Supplemental Electronic Materials on the Accompanying CD A. Chapter 1 Color Figures and Cartoon Problems B. Chapter 2 Color Figures and Cartoon Problems Technical Supplement 2A: Measuring Spiked Samples Technical Supplement 2B: Ion Corrections Technical Supplement 2C: The Ratio Notation and The Power of 1 C. Chapter 3 Color Figures and Cartoons Problems D. Chapter 4 Color Figures and Cartoons Problems I Chi Spreadsheets E. Chapters 5 Color Figures and Cartoons Problems I Chi Spreadsheets F. Chapter 6 Color Figure and Cartoon Problems I Chi Spreadsheet Technical Supplement 6A: How Much Isotope Should I Add? Technical Supplement 6B: Noisy Data and Data Analysis with Enriched Samples G. Chapter 7 Color Figures and Cartoons Problems I Chi Spreadsheets Technical Supplement 7A: A Chemist's View of Isotope Effects Technical Supplement 7B: Derivations of Closed System Isotope Equations H. Chapter 8 Color Figures and Cartoons Problems I. All Problems for Chapters 1-8 J. All Answers to Problems for Chapters 1-8 K. All Figures and Cartoons L. All I Chi Spreadsheets M. A Reading List

Note: Contents: Preface. - Acknowledgements. - List of Abbreviations. - 1 The evolution of knowledge about the Arctic and its climate. - 1.1 Historical exploration. - 1.2 The beginning of systematic observations. - 1.3 The modern era. - 2 Physical characteristics and basic climatic features. - 2.1 The Arctic ocean. - 2.2 The Arctic lands. - 2.3 Basic climatic elements. - 3 The basic atmospheric heat budget. - 3.1 The Arctic and the global heat budget. - 3.2 The basic Arctic heat budget. - 3.3 Further analysis of Fwall. - 4 The atmospheric circulation. - 4.1 Historical perspective. - 4.2 The stratospheric circulation. - 4.3 The Arctic tropopause. - 4.4 The mid-tropospheric circulation. - 4.5 Surface and near-surface circulation. - 4.6 Polar Lows. - 5 The surface energy budget. - 5.1 The energy balance equations. - 5.2 The downward solar radiation flux. - 5.3 Surface albedo. - 5.4 Longwave radiation fluxes. - 5.5 Distribution of net radiation. - 5.6 Cloud radiative forcing. - 5.7 Radiation fluxes from surface observations: examples from SHEBA. - 5.8 Partitioning of net radiation. - 5.9 Skin temperature, SAT and vertical structure. - 5.10 Radiation-climate feedbacks. - 6 Precipitation, net precipitation and river discharge. - 6.1 Precipitation. - 6.2 Evapo-transpiration and net precipitation. - 6.3 Mean annual cycles for the major terrestrial drainages. - 6.4 River discharge and runoff. - 7 Arctic ocean-sea ice-climate interactions. - 7.1 Sea ice formation, growth and melt. - 7.2 Mean circulation, ice zones and concentration. - 7.3 Sea ice motion. - 7.4 Examples of large-scale ocean-sea ice-climate interactions. - 7.5 The Fram Strait outflow and the thermohaline circulation. - 8 Climate regimes of the Arctic. - 8.1 The Greenland Ice Sheet. - 8.2 Polar desert. - 8.3 Maritime Arctic. - 8.4 Central Arctic Ocean. - 8.5 Mountains and uplands. - 8.6 Urban modifications of local climate. - 9 Modeling the Arctic climate system. - 9.1 General model types. - 9.2 Single-column models. - 9.3 Land surface models. - 9.4 Sea ice and ice-ocean models. - 9.5 Global climate models. - 9.6 Regional climate models. - 9.7 Numerical weather prediction models. - 9.8 Ecosystem models. - 9.9 Summary of model errors. - 10 Arctic paleoclimates. - 10.1 The distant past. - 10.2 Paleoclimate records for the Quaternary. - 10.3 Features of the Quaternary. - 10.4 Rapid climate shifts. - 10.5 Regional aspects of the LGM. - 10.6 Deglaciation. - 10.7 The Holocene. - 11 Recent climate variability, trends and the future. - 11.1 Setting the stage. - 11.2 Summary of observed variability and change. - 11.3 The NAO and AO. - 11.4 The NAO/AO framework: merits and shortcomings. - 11.5 Related multiyear climate variability. - 11.6 The future. - References. - List of selected websites. - Index.

Note: Contents: Foreword. - Preface. - Summary for Policymakers. - Technical Summary. - 1 The Climate System: an Overview. - 2 Observed Climate Variability and Change. - 3 The Carbon Cycle and Atmospheric Carbon Dioxide. - 4 Atmospheric Chemistry and Greenhouse Gases. - 5 Aerosols, their Direct and Indirect Effects. - 6 Radiative Forcing of Climate Change. - 7 Physical Climate Processes and Feedbacks. - 8 Model Evaluation. - 9 Projections of Future Climate Change. - 10 Regional Climate Information - Evaluation and Projections. - 11 Changes in Sea Level. - 12 Detection of Climate Change and Attribution of Causes. - 13 Climate Scenario Development. - 14 Advancing Our Understanding. - Appendix I Glossary. - Appendix II SRES Tables. - Appendix Ill Contributors to the IPCC WGI Third Assessment Report. - Appendix IV Reviewers of the IPCC WGI Third Assessment Report. - Appendix V Acronyms and Abbreviations. - Appendix VI Units. - Appendix VII Some Chemical Symbols used in this Report. - Appendix VIII Index.

Note: Contents: Preface. - PART 1 FRAMEWORK OF CLIMATE SCIENCE. - 1 Overview of Climate Science. - Climate and Climate Change. - 1-1 Geologic Time. - 1-2 How This Book Is Organized. - Development of Climate Science. - 1-3 How Scientists Study Climate Change. - Overview of the Climate System. - 1-4 Components of the Climate System. - 1-5 Climate Forcing. - 1-6 Climate System Responses. - 1-7 Time Scales of Forcing versus Response. - 1-8 Response Rates and Interactions Within the Climate System. - 1-9 Feedbacks in the Climate System. - Tools Of Climate Science: Temperature Scales. - 2 Earth's Climate System Today. - Heating Earth. - 2-1 Incoming Solar Radiation. - 2-2 Receipt and Storage of Solar Heat. - 2-3 Heat Transformation. - Heat Transfer in Earth's Atmosphere. - 2-4 Overcoming Stable Layering in the Atmosphere. - 2-5 Tropical-Subtropical Atmospheric Circulation. - 2-6 Atmospheric Circulation at Middle and High Latitudes. - Heat Transfer in Earth's Oceans. - 2-7 The Surface Ocean. - 2-8 Deep-Ocean Circulation. - Ice on Earth. - 2-9 Sea Ice. - 2-10 Glacial Ice. - Earth's Biosphere. - 2-11 Response of the Biosphere to the Physical Climate System. - 2-12 Effects of the Biosphere on the Climate System. - Looking Deeper into Climate Science: The Structure of Earth's Atmosphere. - Climate Interactions and Feedbacks: Albedo/Temperature. - Climate Interactions and Feedbacks: Water in the Climate System. - Climate Interactions and Feedbacks: Water Vapor. - Looking Deeper into Climate Science: The Conolis Effect. - Climate Interactions and Feedbacks: Vegetation-Climate Feedbacks. - 3 Climate Archives, Oata, and Models. - Climate Archives. - 3-1 Types of Archives. - 3-2 Dating Climate Records. - 3-3 Climate Resolution. - Climate Data. - 3-4 Biotic Data. - 3-5 Geological and Geochemical Data. - Climate Models. - 3-6 Physical Climate Models. - 3-7 Geochemical (Mass Balance) Models. - PART II TECTONIC-SCALE CLIMATE CHANGE. - 4 CO2 and Long-term Climate. - Greenhouse Worlds. - The Faint Young Sun Paradox. - Carbon Exchanges between Rocks and the Atmosphere. - 4-1 Volcanic Input of Carbon from Rocks to the Atmosphere. - 4-2 Chemical Weathering Removal of CO2 from the Atmosphere. - Climate Factors That Control Chemical Weathering. - Chemical Weathering: Earth's Thermostat?. - Is Life the Ultimate Control on Earth's Thermostat?. - 4-3 The Gaia Hypothesis. - Climate Debate: A Snowball Earth?. - Looking Deeper into Climate Science: The Organic Carbon Subcycle. - 5 Plate Tectonics and Climate. - Plate Tectonics. - 5-1 Structure and Composition of Tectonic Plates. - 5-2 Evidence of Past Plate Motions. - The Polar Position Hypothesis. - 5-3 Glaciations and Continental Positions since 500 Myr Ago. - Modeling Climate on the Supercontinent Pangaea. - 5-4 Input to the Model Simulation of Pangaean Climate. - 5-5 Output from the Model Simulation of Pangaean Climate. - Tectonic Control of CO2 Input: The BLAG Spreading Rate Hypothesis. - 5-6 Control of CO2 Input by Seafloor Spreading. - 5-7 Initial Evaluation of the BLAG Spreading Rate Hypothesis. - Tectonic Control of CO2 Removal: The Uplift Weathering Hypothesis. - 5-8 Rock Exposure and Chemical Weathering. - 5-3 Uplift and Chemical Weathering. - What Controls Chemical Weathering?. - 5-10 Weathering: Climate Forcing and Feedback. - Looking Deeper into Climate Science: Brief Glatiation 430 Myr Ago. - 6 Greenhouse Earth. - What Explains Greenhouse Warmth 100 Myr Ago?. - 6-1 Model Simulations of a Greenhouse World. - 6-2 What Explains the Data-Model Mismatch?. - Sea Level Changes and Climate. - 6-3 Causes of Tectonic-Scale Changes in Sea Level. - 6-4 Effect of Sea Level Changes on Climate. - Asteroid Impacts. - Climate Interactions and Feedbacks: The Effect of CO2 on Climate. - Looking Deeper into Climate Science: Calculating Changes in Sea Level. - 7 Back into the Icehouse: The Last 55 Million years. - Global Climate Change Since 55 Myr Ago. - 7-1 Evidence from Ice and Vegetation. - 7-2 Oxygen Isotope Data. - Why Did Global Climate Cool over the Last 55 Myr?. - 7-3 Evaluating the BLAG Spreading Rate Hypothesis. - 7-4 Evaluating the Uplift Weathering Hypothesis. - 7-5 Evaluating the Ocean Heat Transport Hypothesis. - 7-6 Causes of Brief Tectonic-Scale Climate Change. - Understanding and Predicting Tectonic Climate Change. - Tools Of Climate Science: Oxtygen Isotope Ratios (δ18O). - Climate Debate: The Timing of Uplift in Western North America. - Looking Deeper into Climate Science: Is 87Sr/86Sr an Index of Chemical Weathering?. - PART III ORBITAL-SCALE CLIMATE CHANGE. - 8 Astronomical Control of Solar Radiation. - Earth's Orbit Today. - 8-1 Earth's Tilted Axis of Rotation and the Seasons. - 8-2 Earth's Eccentric Orbit: Changes in the Distance Between Earth and Sun. - Long-Term Changes in Earth's Orbit. - 8-3 Changes in Earth's Axial Tilt Through Time. - 8-4 Changes in Earth's Eccentric Orbit Through Time. - 8-5 Precession of Solstices and Equinoxes around Earth's Orbit. - Changes in Insolation Received on Earth. - 8-6 Insolation Changes by Month and Season. - 8-7 Insolation Changes According to Caloric Season. - Looking for Orbital-Scale Changes in Climate Records. - 8-8 Time Series Analysis. - 8-9 Aliasing of Climate Records. - 8-10 Tectonic-Scale Changes in Earth's Orbit. - Tools Of Climate Science: Cycles and Modulation. - Looking Deeper into Climate Science: Earth's Precession as a Sine Wave. - 9 Insolation Control of Monsoons. - Monsoon Circulations. - 9-1 Orbital-Scale Control of Summer Monsoons. - Evidence of Orbital-Scale Changes in Summer Monsoons. - 3-2 "Stinky Muds" in the Mediterranean. - 9-3 Freshwater Diatoms in the Tropical Atlantic. - 9-4 Upwelling in the Equatorial Atlantic. - Refinements of the Orbital Monsoon Hypothesis. - 9-5 Lag of Monsoons Behind Summer Insolation. - 9-6 Clipped Monsoon Responses and Monsoon Harmonics. - Monsoon Forcing Earlier in Earth's History. - 8-7 Monsoons on Pangaea 200 Myr Ago. - 9-8 Joint Tectonic and Orbital Control of Monsoons. - 10 Insolation Control of Ice Sheets. - What Controls the Size of Ice Sheets?. - 10-1 Orbital-Scale Control of Ice Sheets. - The Milankovitch Theory. - Modeling the Behavior of Ice Sheets. - 10-2 Insolation Control of Ice Sheet Size. - 10-3 Ice Sheet Lags behind Summer Insolation Forcing. - 10-4 Delayed Bedrock Response Beneath Ice Sheets. - 10-5 Full Cycle of Ice Growth and Decay. - 10-6 Ice Slipping and Calving. - Northern Hemisphere Ice Sheet History. - 10-7 Conceptual Model: Evolution of Ice Sheet Cycles. - 10-8 Evidence from δ18O: How Ice Sheets Actually Evolved. - 10-9 Confirming Ice Volume Changes: Coral Reefs and Sea Level. - 10-10 Using Astronomical and δ18O Signals as a Chronometer. - Looking Deeper into Climate Science: Ice Volume Response to Insolation. - Climate Debate: Antarctic Deglaciation 3 Myr Ago?. - Looking Deeper into Climate Science: Sea Level on Uplifting Islands. - 11 Orbital-Scale Changes in Carbon Dioxide and Methane. - Ice Cores. - 11-1 Drilling and Dating Ice Cores. - 11-2 Trapping Gases in the Ice. - Orbital-Scale Changes in Methane. - Orbital-Scale Changes in CO2. - 11-3 Physical Oceanographic Explanations of CO2 Changes. - 11-4 Orbital-Scale Carbon Reservoirs. - 11-5 Tracking Carbon through the Climate System. - 11-6 Can δ13C Evidence Detect Glacial Changes in Carbon Reservoirs?. - 11-7 Pumping of Carbon into the Deep Ocean during Glaciations. - 11-8 Changes in the Circulation of Deep Water during Glaciations. - Tools Of Climate Science: Carbon Isotope Ratios (δ13C). - Climate Debate: Do Winds Fertilize the Glacial Ocean?. - 12 Orbital-Scale Interactions in the Climate System. - Orbital-Scale Forcing and Response Revisited. - Ice-Driven Climate Responses. - 12-1 Ice-Driven Responses in High Northern Latitudes. - 12-2 Orbital Cycles in Regions Remote fro

Note: Table of Contents: 1 The Solid Phase of Marine Sediments / DIETER K. FÜTTERER 1.1 Introduction 1.2 Sources and Components of Marine Sediments 1.2.1 Lithogenous Sediments 1.2.2 Biogenous Sediments 1.2.3 Hydrogenous Sediments 1.3 Classification of Marine Sediments 1.3.1 Terrigenous Sediments 1.3.2 Deep-Sea Sediments 1.4 Global Patterns of Sediment Distribution 1.4.1 Distribution Patterns of Shelf Sediments 1.4.2 Distribution Patterns of Deep-Sea Sediments 1.4.3 Distribution Patterns of Glay Minerals 1.4.4 Sedimentation Rates 2 Geophysical Perspectives in Marine Sediments 2.1 Physical Properties of Marine Sediments / MONIKA BREITZKE 2.1.1 Introduction 2.1.2 Porosity and Wet Bulk Density 2.1.2.1 Analysis by Weight and Volume 2.1.2.2 Gamma Ray Attenuation 2.1.2.3 Electrical Resistivity (Galvanic Method) 2.1.2.4 Electrical Resistivity (Inductive Method) 2.1.3 Permeability 2.1.4 Acoustic and Elastic Properties 2.1.4.1 Biot-Stoll Model 2.1.4.2 Full Waveform Ultrasonic Gore Logging 2.1.5 Sediment Classification 2.1.5.1 Full Waveform Gore Logs as Acoustic Images 2.1.5.2 P-and S-Wave Velocity, Attenuation, Elastic Moduli and Permeability 2.1.6 Sediment Echosounding 2.1.6.1 Synthetic Seismograms 2.1.6.2 Narrow-Beam Parasound Echosounder Recordings 2.2 Sedimentary Magnetism / ULRICH BLEIL 2.2.1 Introduction 2.2.2 Biogenie Magnetic Minerals in Marine Sediments 2.2.3 Reduction Diagenesis of Magnetic Minerals in Marine Environments 3 Quantification of Early Diagenesis: Dissolved Constituents in Marine Pore Water / HORST D. SCHULZ 3.1 Introduction: How to Read Pore Water Concentration Profiles 3.2 Calculation of Diffusive Fluxes and Diagenetic Reaction Rates 3.2.1 Steady State and Non-Steady State Situations 3.2.2 The Steady State Situation and Fick's First Law of Diffusion 3.2.3 Quantitative Evaluation of Steady State Concentration Profiles 3.2.4 The Non-Steady State Situation and Fick's Second Law of Diffusion 3.2.5 The Primary Redox-Reactions: Degradation of Organic Matter 3.3 Sampling of Pore Water for Ex-Situ Measurements 3.3.1 Obtaining Sampies of Sediment for the Analysis of Pore Water 3.3.2 Pore Water Extraction from the Sediment 3.3.3 Storage, Transport and Preservation of Pore Water 3.4 Analyzing Constituents in Pore Water, Typical Profiles 3.5 In-Situ Measurements 3.6 Influence of Bioturbation, Bioirrigation, and Advection 4 Organic Matter: The Driving Force for Early Diagenesis / JÜRGEN RULLKÖTTER 4.1 The Organic Carbon Cycle 4.2 Organic Matter Accumulation in Sediments 4.2.1 Productivity Versus Preservation 4.2.2 Primary Production of Organic Matter and Export to the Ocean Bottom 4.2.3 Transport of Organic Matter through the Water Column 4.2.4 The Influence of Sedimentation Rate on Organic Matter Burial 4.2.5 Allochthonous Organic Matter in Marine Sediments 4.3 Early Diagenesis 4.3.1 The Organic Carbon Content of Marine Sediments 4.3.2 Chemical Composition of Biomass 4.3.3 The Principle of Selective Preservation 4.3.4 The Formation of Fossil Organic Matter and its Bulk Composition 4.3.5 Early Diagenesis at the Molecular Level 4.3.6 Biological Markers (Molecular Fossils) 4.4 Organic Geochemical Proxies 4.4.1 Total Organic Carbon and Sulfur 4.4.2 Marine Versus Terrigenous Organic Matter 4.4.3 Molecular Paleo-Seawater Temperature and Climate Indicators 4.5 Analytical Techniques 4.5.1 Sam pie Requirements 4.5.2 Elemental and Bulk Isotope Analysis 4.5.3 Rock-Eval Pyrolysis and Pyrolysis Gas Chromatography 4.5.4 Organic Petrography 4.5.5 Bitumen Analysis 4.6 The Future of Marine Geochemistry of Organic Matter 5 Bacteria and Marine Biogeochemistry / Bo BARKER JORGENSEN 5.1 Role of Microorganisms 5.1.1 From Geochemistry to Microbiology - and back 5.1.2 Approaches in Marine Biogeochemistry 5.2 Life and Environments at Small Scale 5.2.1 Hydrodynamics of Low Reynolds Numbers 5.2.2 Diffusion at Small Scale 5.2.3 Diffusive Boundary Layers 5.3 Regulation and Limits of Microbial Processes 5.3.1 Substrate Uptake by Microorganisms 5.3.2 Temperature as a Regulating Factor 5.3.3 Other Regulating Factors 5.4 Energy Metabolism of Prokaryotes 5.4.1 Free Energy 5.4.2 Reduction-Oxidation Processes 5.4.3 Relations to Oxygen 5.4.4 Definitions of Energy Metabolism 5.4.5 Energy Metabolism of Microorganisms 5.4.6 Chemolithotrophs 5.4.7 Respiration and Fermentation 5.5 Pathways of Organic Matter Degradation 5.5.1 Depolymerization of Macromolecules 5.5.2 Aerobic and Anaerobic Mineralization 5.5.3 Depth Zonation of Oxidants 5.6 Methods in Biogeochemistry 5.6.1 Incubation Experiments 5.6.2 Radioactive Tracers 5.6.3 Example: Sulfate Reduction 5.6.4 Specific Inhibitors 5.6.5 Other Methods 6 Early Diagenesis at the Benthic Boundary Layer: Oxygen and Nitrate in Marine Sediments / CHRISTIAN HENSEN AND MATTHIAS ZABEL 6.1 Introduction 6.2 Oxygen and Nitrate Distribution in Seawater 6.3 The Role of Oxygen and Nitrate in Marine Sediments 6.3.1 Respiration and Redox Processes 6.3.1.1 Nitrification and Denitrification 6.3.1.2 Coupling of Oxygen and Nitrate to other Redox Pathways 6.3.2 Determination of Consumption Rates and Senthic Fluxes 6.3.2.1 Fluxes and Concentration Profiles Determined by In-Situ Devices 6.3.2.2 Ex-Situ Pore Water Data from Deep-Sea Sediments 6.3.2.3 Determination of Denitrification Rates 6.3.3 Oxic Respiration, Nitrification and Denitrification in Different Marine Environments 6.3.3.1 Quantification of Rates and Fluxes 6.3.3.2 Variation in Different Marine Environments: Case Studies 6.4 Summary 7 The Reactivity of Iron / RALF R. HAESE 7.1 Introduction 7.2 Pathways of Iron Input to Marine Sediments 7.2.1 Fluvial Input 7.2.2 Aeolian Input 7.3 Iron as a Limiting Nutrient for Primary Productivity 7.4 The Early Diagenesis of Iron in Sediments 7.4.1 Dissimilatary Iran Reductian 7.4.2 Solid Phase Ferric Iron and its Bioavailability 7.4.2.1 Properties of Iron Oxides 7.4.2.2 Bioavailability of Iron Oxides 7.4.2.3 Bioavailability of Sheet Silicate Sound Ferric lron 7.4.3 Iron and Manganese Redax Cycles 7.4.4 Iron Reactivity towards S, O2, Mn, NO3, P, HCO3, and Si-AI 7.4.4.1 lron Reduction by HS and Ligands 7.4.4.2 Iron Oxidation by O2, NO3, and Mn4+ 7.4.4.3 Iron-Sound Phosphorus 7.4.4.4 The Formation of Siderite 7.4.4.5 The Formation of lron Searing Aluminosilicates 7.4.5 Discussion: The Importance of Fe-and Mn-Reactivity in Various Enyironments 7.5 The Assay for Ferric and Ferrous Iron 8 Sulfate Reduction in Marine Sediments / SABINE KASTEN AND BO BARKER JØRGENSEN 8.1 Introduction 8.2 Sulfate Reduction and the Degradation of Organic Matter 8.3 Biotic and Abiotic Processes Coupled to Sulfate Reduction 8.3.1 Pyrite Formation 8.3.2 Effects of Sulfate Reduction on Sedimentary Solid Phases 8.4 Determination of Sulfate Reduction Rates 9 Marine Carbonates: Their Formation and Destruction / RALPH R. SCHNEIDER, HORST D. SCHULZ AND CHRISTIAN HENSEN 9.1 Introduction 9.2 Marine Environments of Carbonate Production and Accumulation 9.2.1 Shallow-Water Carbonates 9.2.2 Pelagic Calcareous Sediments 9.3 The Calcite-Carbonate-Equilibrium in Marine Aquatic Systems 9.3.1 Primary Reactions of the Calcite-Carbonate-Equilibrium with Atmospheric Contact in Infinitely Diluted Solutions 9.3.2 Primary Reactions of the Calcite-Carbonate-Equilibrium without Atmospheric Contact 9.3.3 Secondary Reactions of the Calcite-Carbonate-Equilibrium in Seawater 9.3.4 Examples for Calculation of the Calcite-Carbonate-Equilibrium in Ocean Waters 9.4 Carbonate Reservoir Sizes and Fluxes between Particulate and Dissolved Reservoirs 9.4.1 Production Versus Dissolution of Pelagic Carbonates 9.4.2 Inorganic and Organic Carbon Release trom Deep-Sea Sediments 10 Influences of Geochemical Processes on Stable Isotope Distribution in Marine Sediments / TORSTEN SICKERT 10.1 Introduction 10.2 Fundamentals 10.2.1 Principles of Isotopic Fractionation 10.2.2 Analytical Procedures 10.3 Geochemicallnfluences on 18O/16O Ratios 10.3.1 δ18O of Seawater 10.3.2 δ18O in Marine Carbonates 10.4 Geochemical Influences on 13C/12C Ratios 10.4.1

Note: Introduction and Overviews --- J.-P. Henriet and J. Mienert: Gas Hydrates: the Gent debates. Outlook on research horizons and strategies / Geological Society, London, Special Publications, 137:1-8, doi:10.1144/GSL.SP.1998.137.01.01 --- K. A. Kvenvolden: A primer on the geological occurrence of gas hydrate / Geological Society, London, Special Publications, 137:9-30, doi:10.1144/GSL.SP.1998.137.01.02 --- E. D. Sloan, Jr: Physical/chemical properties of gas hydrates and application to world margin stability and climatic change / Geological Society, London, Special Publications, 137:31-50, doi:10.1144/GSL.SP.1998.137.01.03 --- Analysis and Modelling of Hydrate Formation --- G. D. Ginsburg: Gas hydrate accumulation in deep-water marine sediments / Geological Society, London, Special Publications, 137:51-62, doi:10.1144/GSL.SP.1998.137.01.04 --- A. W. Rempel and B. A. Buffett: Mathematical models of gas hydrate accumulation / Geological Society, London, Special Publications, 137:63-74, doi:10.1144/GSL.SP.1998.137.01.05 --- R. J. Bakker: Improvements in clathrate modelling II: the H2O-CO2-CH4-N2-C2H6 fluid system / Geological Society, London, Special Publications, 137:75-105, doi:10.1144/GSL.SP.1998.137.01.06 --- H. Lu and R. Matsumoto: Synthesis of CO2 hydrate in various CH3CO2Na/CH3CO2H pH buffer solutions / Geological Society, London, Special Publications, 137:107-111, doi:10.1144/GSL.SP.1998.137.01.07 --- Exploration Strategy and Reservoir Evaluation Methodology --- J. S. Booth, W. J. Winters, W. P. Dillon, M. B. Clennell, and M. M. Rowe: Major occurrences and reservoir concepts of marine clathrate hydrates: implications of field evidence / Geological Society, London, Special Publications, 137:113-127, doi:10.1144/GSL.SP.1998.137.01.08 --- D. Goldberg and S. Saito: Detection of gas hydrates using downhole logs / Geological Society, London, Special Publications, 137:129-132, doi:10.1144/GSL.SP.1998.137.01.09 --- J. W. Hobro, T. A. Minshull, and S. C. Singh: Tomographic seismic studies of the methane hydrate stability zone in the Cascadia Margin / Geological Society, London, Special Publications, 137:133-140, doi:10.1144/GSL.SP.1998.137.01.10 --- U. Tinivella, E. Lodolo, A. Camerlenghi, and G. Boehm: Seismic tomography study of a bottom simulating reflector off the South Shetland Islands (Antarctica) / Geological Society, London, Special Publications, 137:141-151, doi:10.1144/GSL.SP.1998.137.01.11 --- Worldwide Gas Hydrate Occurrences and Regional Case Studies --- C. K. Paull, W. S. Borowski, and N. M. Rodriguez: Marine gas hydrate inventory: preliminary results of ODP Leg 164 and implications for gas venting and slumping associated with the Blake Ridge gas hydrate field / Geological Society, London, Special Publications, 137:153-160, doi:10.1144/GSL.SP.1998.137.01.12 --- R. Thiéry, R. Bakker, and C. Monnin: Geochemistry of gas hydrates and associated fluids in the sediments of a passive continental margin. Preliminary results of the ODP Leg 164 on the Blake Outer Ridge / Geological Society, London, Special Publications, 137:161-165, doi:10.1144/GSL.SP.1998.137.01.13 --- G. J. De Lange and H.-J. Brumsack: The occurrence of gas hydrates in Eastern Mediterranean mud dome structures as indicated by pore-water composition / Geological Society, London, Special Publications, 137:167-175, doi:10.1144/GSL.SP.1998.137.01.14 --- J. M. Woodside, M. K. Ivanov, and A. F. Limonov: Shallow gas and gas hydrates in the Anaximander Mountains region, eastern Mediterranean Sea / Geological Society, London, Special Publications, 137:177-193, doi:10.1144/GSL.SP.1998.137.01.15 --- M. K. Ivanov, A. F. Limonov, and J. M. Woodside: Extensive deep fluid flux through the sea floor on the Crimean continental margin (Black Sea) / Geological Society, London, Special Publications, 137:195-213, doi:10.1144/GSL.SP.1998.137.01.16 --- S. V. Bouriak and A. M. Akhmetjanov: Origin of gas hydrate accumulations on the continental slope of the Crimea from geophysical studies / Geological Society, London, Special Publications, 137:215-222, doi:10.1144/GSL.SP.1998.137.01.17 --- D. Long, S. Lammers, and P. Linke: Possible hydrate mounds within large sea-floor craters in the Barents Sea / Geological Society, London, Special Publications, 137:223-237, doi:10.1144/GSL.SP.1998.137.01.18 --- M. Veerayya, S. M. Karisiddaiah, K. H. Vora, B. G. Wagle, and F. Almeida: Detection of gas-charged sediments and gas hydrate horizons along the western continental margin of India / Geological Society, London, Special Publications, 137:239-253, doi:10.1144/GSL.SP.1998.137.01.19 --- S. Neben, K. Hinz, and H. Beiersdorf: Reflection characteristics, depth and geographical distribution of bottom simulating reflectors within the accretionary wedge of Sulawesi / Geological Society, London, Special Publications, 137:255-265, doi:10.1144/GSL.SP.1998.137.01.20 --- G. Delisle, H. Beiersdorf, S. Neben, and D. Steinmann: The geothermal field of the North Sulawesi accretionary wedge and a model on BSR migration in unstable depositional environments / Geological Society, London, Special Publications, 137:267-274, doi:10.1144/GSL.SP.1998.137.01.21 --- Relevance to Margin Stability and Climatic Change --- J. Mienert, J. Posewang, and M. Baumann: Gas hydrates along the northeastern Atlantic margin: possible hydrate-bound margin instabilities and possible release of methane / Geological Society, London, Special Publications, 137:275-291, doi:10.1144/GSL.SP.1998.137.01.22 --- W. P. Dillon, W. W. Danforth, D. R. Hutchinson, R. M. Drury, M. H. Taylor, and J. S. Booth: Evidence for faulting related to dissociation of gas hydrate and release of methane off the southeastern United States / Geological Society, London, Special Publications, 137:293-302, doi:10.1144/GSL.SP.1998.137.01.23 --- B. U. Haq: Natural gas hydrates: searching for the long-term climatic and slope-stability records / Geological Society, London, Special Publications, 137:303-318, doi:10.1144/GSL.SP.1998.137.01.24 --- R. B. Thorpe, J. A. Pyle, and E.G. Nisbet: What does the ice-core record imply concerning the maximum climatic impact of possible gas hydrate release at Termination 1A? / Geological Society, London, Special Publications, 137:319-326, doi:10.1144/GSL.SP.1998.137.01.25 --- D. Raynaud, J. Chappellaz, and T. Blünier: Ice-core record of atmospheric methane changes: relevance to climatic changes and possible gas hydrate sources / Geological Society, London, Special Publications, 137:327-331, doi:10.1144/GSL.SP.1998.137.01.26

Note: Table of Contents: CHAPTER 1: THE ENVIRONMENTAL ISOTOPES: Environmental Isotopes in Hydrogeology. - Stable Isotopes: Standards and Measurement. - Isotope Ratio Mass Spectrometry. - Radioisotopes. - Isotope Fractionation. - Isotope Fractionation (a), Enrichment (e), and Separation (D). - CHAPTER 2: TRACING THE HYDROLOGIGICAL CYCLE: Craig's Meteoric Relationship in Global Fresh Waters. - Partitioning of Isotopes Through the Hydrological Cycle. - Condensation, Precipitation, and the Meteoric Water Line. - A Closer Look at Rayleigh Distillation. - Effects of Extreme Evaporation. - CHAPTER 3: PRECIPITATION: The T - d18O Correlation in Precipitation. - Local Effects on T - d18O. - Ice Cores and Paleotemperature. - CHAPTER 4: GROUNDWATER: Recharge in Temperate Climates. - Recharge in Arid Regions. - Recharge from River-Connected Aquifers. - Hydrograph Separation in Catchment Studies. - Groundwater Mixing. - CHAPTER 5: TRACING THE CARBON CYCLE: Evolution of Carbon in Groundwaters. - Carbonate Geochemistry. - Carbon-13 in the Carbonate System. - Dissolved Organic Carbon. - Methane in Groundwaters. - Isotopic Composition of Carbonates. - CHAPTER 6: GROUNDWATER QUALITY: Sulphate, Sulphide and the Sulphur Cycle. - Nitrogen Cycles in Rural Watersheds. - The "Fuhrberger Feld" Study. - Source of Chloride Salinity. - Landfill Leachates. - Degredation of Chloro-organics and Hydrocarbon. - Sensitivity of Groundwater to Contamination. - Summary of Isotopes in Contaminant Hydrology. - CHAPTER 7: IDENTIYING AND DATING MODERN GROUNDWATERS: The "Age" of Groundwater. - Stable Isotopes. - Tritium in Precipitation. - Dating Groundwaters with Tritium. - Groundwater Dating with 3H -3He. - Chlorofluorocarbons (CFCs). - Thermonuclear 36Cl. - Detecting Modern Groundwaters with 85Kr . - Submodern Groundwater. - CHAPTER 8: AGE DATING OLD GROUNDWATERS: Stable Isotopes and Paleogroundwaters. - Groundwater Dating with Radiocarbon. - Correction for Carbonate Dissolution. - Some Additional Complications to 14C Dating. - 14C Dating with Dissolved Organic Carbon (DOC). - Case Studies for 14C dating with DOC and DIC. - Chlorine-36 and Very Old Groundwater. - The Uranium Decay Series. - CHAPTER 9: WATER-ROCK INTERACTION: Mechanisms of Isotope Exchange. - High Temperature Systems. - Low Temperature Water-Rock Interaction. - Strontium Isotopes in Water and Rock. - Isotope Exchange in Gas-Water Reactions. - High pH Groundwaters-The Effect of Cement Reactions. - CHAPTER 10: FIELD METHODS FOR SAMPLING: Groundwater. - Water in the Unsaturated Zone. - Precipitation. - Gases. - Geochemistry. - References. - Subject Index. - Each chapter has Problems sections.

Note: Contents: Preface to the Second Edition. - Preface to the First Edition. - Part 1. - 1 Preliminary Description of Error Analysis. - 1.1 Errors as Uncertainties. - 1.2 Inevitability of Uncertainty. - 1.3 Importance of Knowing the Uncertainties. - 1.4 More Examples. - 1.5 Estimating Uncertainties When Reading Scales. - 1.6 Estimating Uncertainties in Repeatable Measurements. - 2. How to Report and Use Uncertainties. - 2.1 Best Estimate ± Uncertainty. - 2.2 Significant Figures. - 2.3 Discrepancy. - 2.4 Comparison of Measured and Accepted Values. - 2.5 Comparison of Two Measured Numbers. - 2.6 Checking Relationships with a Graph. - 2.7 Fractional Uncertainties. - 2.8 Significant Figures and Fractional Uncertainties. - 2.9 Multiplying Two Measured Numbers. - Problems for Chapter 2. - 3. Propagation of Uncertainties. - 3.1 Uncertainties in Direct Measurements. - 3.2 The Square-Root Rule for a Counting Experiment. - 3.3 Sums and Differences; Products and Quotients. - 3.4 Two Important Special Cases. - 3.5 Independent Uncertainties in a Sum. - 3.6 More About Independent Uncertainties. - 3.7 Arbitrary Functions of One Variable. - 3.8 Propagation Step by Step. - 3.9 Examples. - 3.10 A More Complicated Example. - 3.11 General Formula for Error Propagation. - Problems for Chapter 3. - 4. Statistical Analysis of Random Uncertainties. - 4.1 Random and Systematic Errors. - 4.2 The Mean and Standard Deviation. - 4.3 The Standard Deviation as the Uncertainty in a Single Measurement. - 4.4 The Standard Deviation of the Mean. - 4.5 Examples. - 4.6 Systematic Errors. - Problems for Chapter. - 5. The Normal Distribution. - 5.1 Histograms and Distributions. - 5.2 Limiting Distributions. - 5.3 The Normal Distribution. - 5.4 The Standard Deviation as 68% Confidence Limit. - 5.5 Justification of the Mean as Best Estimate. - 5.6 Justification of Addition in Quadrature. - 5.7 Standard Deviation of the Mean. - 5.8 Acceptability of a Measured Answer . - Problems for Chapter 5. - Part II. - 6. Rejection of Data. - 6.1 The Problem of Rejecting Data. - 6.2 Chauvenet's Criterion. - 6.3 Discussion. - Problems for Chapter 6. - 7. Weighted Averages. - 7.1 The Problem of Combining Separate Measurements. - 7.2 The Weighted Average. - 7.3 An Example. - Problems for Chapter 7. - 8. Least-Squares Fitting. - 8.1 Data That Should Fit a Straight Line. - 8.2 Calculation of the Constants A and В. - 8.3 Uncertainty in the Measurements of у. - 8.4 Uncertainty in the Constants A and В. - 8.5 An Example. - 8.6 Least-Squares Fits to Other Curves. - Problems for Chapter 8. - 9. Covariance and Correlation. - 9.1 Review of Error Propagation. - 9.2 Covariance in Error Propagation. - 9.3 Coefficient of Linear Correlation. - 9.4 Quantitative Significance of r. - 9.5 Examples. - Problems for Chapter 9. - 10. The Binomial Distribution. - 10.1 Distributions. - 10.2 Probabilities in Dice Throwing. - 10.3 Definition of the Binomial Distribution. - 10.4 Properties of the Binomial Distribution. - 10.5 The Gauss Distribution for Random Errors. - 10.6 Applications; Testing of Hypotheses. - Problems for Chapter 10. - 11. The Poisson Distribution. - 11.1 Definition of the Poisson Distribution. - 11.2 Properties of the Poisson Distribution. - 11.3 Applications. - 11.4 Subtracting a Background. - Problems for Chapter 11. - 12. The Chi-Squared Test for a Distribution. - 12.1 Introduction to Chi Squared. - 12.2 General Definition of Chi Squared. - 12.3 Degrees of Freedom and Reduced Chi Squared. - 12.4 Probabilities for Chi Squared. - 12.5 Examples. - Problems for Chapter 12. - Appendixes. - Appendix A. Normal Error Integral, I. - Appendix B. Normal Error Integral, II. - Appendix C. Probabilities for Correlation Coefficients. - Appendix D. Probabilities for Chi Squared. - Appendix E. Two Proofs Concerning Sample Standard Deviations. - Bibliography. - Answers to Quick Checks and Odd-Numbered Problems. - Index.

Note: Contents: Preface. - Notation. - 1 Introduction. - 1.1 Background. - 1.2 What is an inverse problem?. - 1.3 What's here. - 2 Physics of the ocean circulation. - 2.1 Basic physical elements. - 2.2 Observations. - 2.3 The classical problem. - 2.4 Hidaka's problem and the algebraic formulation. - 2.5 The absolute velocity problem in retrospect. - 3 Basic machinery. - 3.1 Matrix and vector algebra. - 3.2 Simple statistics; regression. - 3.3 Least squares. - 3.4 The singular vector expansion. - 3.5 Using a steady model-combined least squares and adjoints. - 3.6 Gauss-Markov estimation, mapmaking, and more simultaneous equations. - 3.7 Improving solutions recursively. - 3.8 Estimation from linear constraints - a summary. - 4 The steady ocean circulation inverse problem. - 4.1 Choosing a model. - 4.2 The initial reference level. - 4.3 Simple examples. - 4.4 Property fluxes. - 4.5 Application to real data sets. - 4.6 Climatologies and box models. - 4.7 The β-spiral and variant methods. - 5 Additional useful methods. - 5.1 Inequality constraints; nonnegative least squares. - 5.2 Linear programming and eclectic models. - 5.3 Quantifying water mass; empirical orthogonal functions. - 5.4 Kriging and other variants of Gauss-Markov estimation. - 5.5 Nonlinear problems. - 6 The time-dependent inverse problem. - 6.1 Some basic ideas and notation. - 6.2 Estimation. - 6.3 Control problems: Pontryagin principle and adjoint methods. - 6.4 Duality and simplification: steady-state filter and adjoint. - 6.5 Controllability and observability. - 6.6 Nonlinear models. - 6.7 Assimilation. - 6.8 Other minimization methods and the search for practicality. - 6.9 Forward models. - 6.10 A last word. - References. - Author Index. - Subject Index.

Note: Contents Preface Acknowledgments 1. Statistics for Spatial Data 1.1 Spatial Data and Spatial Models 1.2 Introductory Examples 1.2.1 Geostatistical Data 1.2.2 Lattice Data 1.2.3 Point Patterns 1.3 Statistics for Spatial Data: Why? PART I GEOSTATISTICAL DATA 2. Geostatistics 2.1 Continuous Spatial Index 2.2 Spatial Data Analysis of Coal Ash in Pennsylvania 2.2.1 Intrinsic Stationarity 2.2.2 Square-Root-Differences Cloud 2.2.3 The Pocket Plot 2.2.4 Decomposing the Data into Large- and Small-Scale Variation 2.2.5 Analysis of Residuals 2.2.6 Variogram of Residuals from Median Polish 2.3 Stationary Processes 2.3.1 Variogram 2.3.2 Covariogram and Correlogram 2.4 Estimation of the Variogram 2.4.1 Comparison of Variogram and Covariogram Estimation 2.4.2 Exact Distribution Theory for the Variogram Estimator 2.4.3 Robust Estimation of the Variogram 2.5 Spectral Representations 2.5.1 Valid Covariograms 2.5.2 Valid Variograms 2.6 Variogram Model Fitting 2.6.1 Criteria for Fitting a Variogram Model 2.6.2 Least Squares 2.6.3 Properties of Variogram-Parameter Estimators 2.6.4 Cross-Validating the Fitted Variogram 3. Spatial Prediction and Kriging 3.1 Scale of Variation 3.2 Ordinary Kriging 3.2.1 Effect of Variogram Parameters on Kriging 3.2.2 Lognormal and Trans-Gaussian Kriging 3.2.3 Cokriging 3.2.4 Some Final Remarks 3.3 Robust Kriging 3.4 Universal Kriging 3.4.1 Universal Kriging of Coal-Ash Data 3.4.2 Trend-Surface Prediction 3.4.3 Estimating the Variogram for Universal Kriging 3.4.4 Bayesian Kriging 3.4.5 Kriging Revisited 3.5 Median-Polish Kriging 3.5.1 Gridded Data 3.5.2 Nongridded Data 3.5.3 Median Polishing Spatial Data: Inference Results 3.5.4 Median-Based Covariogram Estimators are Less Biased 3.6 Geostatistical Data, Simulated and Real 3.6.1 Simulation of Spatial Processes 3.6.2 Conditional Simulation 3.6.3 Geostatistical Data 4. Applications of Geostatistics 4.1 Wolfcamp-Aquifer Data 4.1.1 Intrinsic-Stationarity Assumption 4.1.2 Nonconstant-Mean Assumption 4.2 Soil-Water Tension Data 4.3 Soil-Water-Infiltration Data 4.3.1 Estimating and Modeling the Spatial Dependence 4.3.2 Inference on Mean Effects (Spatial Analysis of Variance) 4.4 Sudden-Infant-Death-Syndrome Data 4.5 Wheat-Yield Data 4.5.1 Presence of Trend in the Data 4.5.2 Intrinsic Stationarity 4.5.3 Median-Polish (Robust) Kriging 4.6 Acid-Deposition Data 4.6.1 Spatial Modeling and Prediction 4.6.2 Sampling Design 4.7 Space-Time Geostatistical Data 5. Special Topics in Statistics for Spatial Data 5.1 Nonlinear Geostatistics 5.2 Change of Support 5.3 Stability of the Geostatistical Method 5.3.1 Estimation of Spatial-Dependence Parameters 5.3.2 Stability of the Kriging Predictor 5.3.3 Stability of the Kriging Variance 5.4 Intrinsic Random Functions of Order k 5.5 Applications of the Theory of Random Processes 5.6 Spatial Design 5.6.1 Spatial Sampling Design 5.6.2 Spatial Experimental Design 5.7 Field Trials 5.7.1 Nearest-Neighbor Analyses 5.7.2 Analyses Based on Spatial Modeling 5.8 Infill Asymptotics 5.9 The Many Faces of Spatial Prediction 5.9.1 Stochastic Methods of Spatial Prediction 5.9.2 Nonstochastic Methods of Spatial Prediction 5.9.3 Comparisons and Some Final Remarks PART II LATTICE DATA 6. Spatial Models on Lattices 6.1 Lattices 6.2 Spatial Data Analysis of Sudden Infant Deaths in North Carolina 6.2.1 Nonspatial Data Analysis 6.2.2 Spatial Data Analysis 6.2.3 Trend Removal 6.2.4 Some Final Remarks 6.3 Conditionally and Simultaneously Specified Spatial Gaussian Models 6.3.1 Simultaneously Specified Spatial Gaussian Models 6.3.2 Conditionally Specified Spatial Gaussian Models 6.3.3 Comparison 6.4 Markov Random Fields 6.4.1 Neighbors, Cliques, and the Negpotential Function Q 6.4.2 Pairwise-Only Dependence and Conditional Exponential Distributions 6.4.3 Some Final Remarks 6.5 Conditionally Specified Spatial Models for Discrete Data 6.5.1 Binary Data 6.5.2 Counts Data 6.6 Conditionally Specified Spatial Models for Continuous Data 6. 7 Simultaneously Specified and Other Spatial Models 6.7.1 Simultaneously Specified Spatial Models 6.7.2 Other Spatial Models 6.8 Space-Time Models 7. Inference for Lattice Models 7.1 Inference for the Mercer and Hall Wheat-Yield Data 7.1.1 Data Description 7.1.2 Spatial Lattice Models 7.2 Parameter Estimation for Lattice Models 7.2.1 Estimation Criteria 7.2.2 Gaussian Maximum Likelihood Estimation 7.2.3 Some Computational Details 7.3 Properties of Estimators 7.3.1 Increasing-Domain Asymptotics 7.3.2 The Jackknife and Bootstrap for Spatial Lattice Data 7.3.3 Cross-Validation and Model Selection 7.4 Statistical Image Analysis and Remote Sensing 7.4.1 Remote Sensing 7 .4.2 Ordinary Discriminant Analysis 7.4.3 Markov-Random-Field Models 7.4.4 Edge Processes 7.4.5 Textured Images 7.4.6 Single Photon Emission Tomography 7.4.7 Least Squares and Image Regularization 7.4.8 Method of Sieves 7.4.9 Mathematical Morphology 7.5 Regional Mapping, Scotland Lip-Cancer Data 7.5.1 Exploratory Regional Mapping 7.5.2 Parametric Empirical Bayes Mapping 7.6 Sudden-Infant-Death-Syndrome Data 7.6.1 Exploratory Spatial Data Analysis 7.6.2 Auto-Poisson Model 7 .6.3 Auto-Gaussian Model 7. 7 Lattice Data, Simulated and Real 7.7.1 Simulation of Lattice Processes 7.7.2 Lattice Data PART III SPATIAL PATTERNS 8. Spatial Point Patterns 8.1 Random Spatial Index 8.2 Spatial Data Analysis of Longleaf Pines (Pinus palustris) 8.2.1 Data Description 8.2.2 Complete Spatial Randomness, Regularity, and Clustering 8.2.3 Quadrat Methods 8.2.4 Kernel Estimators of the Intensity Function 8.2.5 Distance Methods 8.2.6 Nearest-Neighbor Distribution Functions and the K Function 8.2.7 Some Final Remarks 8.3 Point Process Theory 8.3.1 Moment Measures 8.3.2 Generating Functionals 8.3.3 Stationary and Isotropic Point Processes 8.3.4 Palm Distributions 8.3.5 Reduced Second Moment Measure 8.4 Complete Spatial Randomness, Distance Functions, and Second Moment Measures 8.4.1 Complete Spatial Randomness 8.4.2 Distance Functions 8.4.3 K Functions, 8.4.4 Animal-Behavior Data 8.4.5 Some Final Remarks 8.5 Models and Model Fitting 8.5.1 Inhomogeneous Poisson Process 8.5.2 Cox Process 8.5.3 Poisson Cluster Process 8.5.4 Simple Inhibition Point Processes 8.5.5 Markov Point Process 8.5.6 Thinned and Related Point Processes 8.5.7 Other Models 8.5.8 Some Final Remarks 8.6 Multivariate Spatial Point Processes 8.6.1 Theoretical Considerations 8.6.2 Estimation of the Cross K Function 8.6.3 Bivariate Spatial-Point-Process Models 8.7 Marked Spatial Point Processes 8.7.1 Theoretical Considerations 8.7.2 Estimation of Moment Measures 8.7.3 Marked Spatial-Point-Process Models 8.8 Space-Time Point Patterns 8.9 Spatial Point Patterns, Simulated and Real 8.9.1 Simulation of Spatial Point Patterns 8.9.2 Spatial Point Patterns 9. Modeting Objects 9.1 Set Models 9.1.1 Fractal Sets 9.1.2 Fuzzy Sets 9.1.3 Random Closed Sets: An Example 9.2 Random Parallelograms in IR 2 9.3 Random Closed Sets and Mathematical Morphology 9.3.1 Theory and Methods 9.3.2 Inference on Random Closed Sets 9.4 The Boolean Model 9.4.1 Main Properties 9.4.2 Generalizations of the Boolean Model 9.5 Methods of Boolean-Model Parameter Estimation 9.5.1 Analysis of Random-Parallelograms Data 9.5.2 Analysis of Heather-Incidence Data 9.5.3 Intensity Estimation in the Boolean Model 9.6 Inference for the Boolean Model 9.7 Modeling Growth with Random Sets 9.7.1 Random-Set Growth Models 9.7.2 Tumor-Growth Data 9.7.3 Fitting the Tumor-Growth Parameters References Author Index Subject lndex

Note: Table of Contents: Prologue. - List of authors and participants. - I. RADIOCARBON AND ABSOLUTE CHRONOLOGIES. - Tree-ring 14C calibration at 10.000 BP / B. Kromer and B. Becker. - On flow model dating of stable isotope records from Greenland ice cores 7 S. J. Johnsen and W. Dansgaard. - The clay-varve based Swedish time scale and its relation to the Late Weichselian radiocarbon chronology / S. björck, I. Cato, L. Brunnberg, B. Strömberg. - A step towards an absolute time-scale for the Late-Glacial: annually laminated sediments from Soppensee (Switzerland) / A. F. Lotter. - B. Ammann, J. Beer, I. Hajdas, M. Sturm. - The late glacial-holocene transition in central Europe derived from isotope studies of laminated sediments from Lake Gościaź (Poland) / K. Rozanski, T. Goslar, M. Dulinski, T. Kuc, M. F. Pazdur, A. Walanus. - Younger Dryas oscillation - varve dated microstratigraphic, palynological and palaeomagnetic records from Lake Holzmaar, Germany / B. Zolitschka, B. Haverkamp, J. F. W. Negendank. - 230Th/234U and 14C ages obtained by mass spectrometry on corals from Barbados (West Indies), Isabela (Galapagos) and Mururoa (French Polynesia) / E. Bard, R. G. Fairbanks, M. Arnold, B. Hamelin. - II. COSMONUCLIDE PRODUCTION CHANGES DURING THE PAST. - Expected secular variations in the global terrestrial production rate of radiocarbon / D. Lal. - 10Be deposition at Vostok, Antarctica, during the last 50,000 years and its relationship to possible cosmogenic production variations during this period / G. M. Raisbeck, F. Yiou, J. Jouzel, J. R. Petit, N. I. Barkov, E. Bard. - 10Be peaks as time markers in polar ice cores / J. Beer, S. J. Johnsen, G. Bonani, R. C. Finkel, C. C. Langway, H. Oeschger, B. Stauffer, M. Suter, W. Woelfli. - Variation of geomagnetic field intensity from 8-60 Ky BP, Massif Central France / J. Salis and N. Bonhommet. - A geomagnetic calibration of the radiocarbon time-scale / A. Mazaud, C. Laj, E. Bard, M. Arnold, E. Tric. - III. CLIMATIC CHANGES DURING THE LAST DEGLACIATION. - The strength of the nordic heat pump / W. S. Broecker. - δ18O time-slice reconstruction of meltwater anomalies at Termination 1 in the North Atlantic between 50 and 80°N / M. Sarnthein, E. Jansen, M. Arnold, J. C. Duplessy, H. Erlenkeuser, A. Flatoy, T. Veum, E. Vogelsang, M. S. Weinelt. - A new method to reconstruct sea surface salinity: application to the North Atlantic ocean during the Younger Dryas / J.-C. Duplessy, L. Labeyrie, A. Juillet-Leclerc, J. Duprat. - The determination of past ocean-atmosphere radiocarbon differences / J. R. Southon, D. E. Nelson, J. S. Vogel. - The last deglaciation in Antarctica: further evidence of a "Younger Dryas" type climatic event / J. Jouzel, J. R. Petit, N. I. Barkov, J. M. Barnola, J. Chappellaz, P. Ciais, V. M. Kotkyakov, C. Lorius, V. N. Petrov, D. Raynaud, C. Ritz. - Possible ice-core evidence for a fresh melt water cap over the Atlantic ocean in the early Holocene / D. A. Fisher. - Climatic changes in Northwest Africa during the last deglaciation (16-7 ka BP) / F. Gasse, J. Ch. Fontes. - The palynological expression and timing of the Younger Dryas event - Europe versus Eastern North America / D. M. Peteet.

Note: Contents: Preface to the Second Edition. - Preface to the First Edition. - Legal Matters. - Computer Programs by Chapter and Section. - 1 Preliminaries. - 1.0 Introduction. - 1.1 Program Organization and Control Structures. - 1.2 Error, Accuracy, and Stability. - 2 Solution of Linear Algebraic Equations. - 2.0 Introduction. - 2.1 Gauss-Jordan Elimination. - 2.2 Gaussian Elimination with Backsubstitution. - 2.3 LU Decomposition and Its Applications. - 2.4 Tridiagonal and Band Diagonal Systems of Equations. - 2.5 Iterative Improvement of a Solution to Linear Equations. - 2.6 Singular Value Decomposition. - 2.7 Sparse Linear Systems. - 2.8 Vandermonde Matrices and Toeplitz Matrices. - 2.9 Cholesky Decomposition. - 2.10 QR Decomposition. - 2.11 Is Matrix Inversion an N3 Process?. - 3 Interpolation and Extrapolation. - 3.0 Introduction. - 3.1 Polynomial Interpolation and Extrapolation. - 3.2 Rational Function Interpolation and Extrapolation. - 3.3 Cubic Spline Interpolation. - 3.4 How to Search an Ordered Table. - 3.5 Coefficients of the Interpolating Polynomial. - 3.6 Interpolation in Two or More Dimensions. - 4 Integration of Functions. - 4.0 Introduction. - 4.1 Classical Formulas for Equally Spaced Abscissas. - 4.2 Elementary Algorithms. - 4.3 Romberg Integration. - 4.4 Improper Integrals. - 4.5 Gaussian Quadratures and Orthogonal Polynomials. - 4.6 Multidimensional Integrals. - 5 Evaluation of Functions. - 5.0 Introduction. - 5.1 Series and Their Convergence. - 5.2 Evaluation of Continued Fractions. - 5.3 Polynomials and Rational Functions. - 5.4 Complex Arithmetic. - 5.5 Recurrence Relations and Clenshaw's Recurrence Formula. - 5.6 Quadratic and Cubic Equations. - 5.7 Numerical Derivatives. - 5.8 Chebyshev Approximation. - 5.9 Derivatives or Integrals of a Chebyshev-approximated Function. - 5.10 Polynomial Approximation from Chebyshev Coefficients. - 5.11 Economization of Power Series. - 5.12 Pade Approximants. - 5.13 Rational Chebyshev Approximation. - 5.14 Evaluation of Functions by Path Integration. - 6 Special Functions. - 6.0 Introduction. - 6.1 Gamma Function, Beta Function, Factorials, Binomial Coefficients. - 6.2 Incomplete Gamma Function, Error Function, Chi-Square Probability Function, Cumulative Poisson Function. - 6.3 Exponential Integrals. - 6.4 Incomplete Beta Function, Student's Distribution, F-Distribution, Cumulative Binomial Distribution. - 6.5 Bessel Functions of Integer Order. - 6.6 Modified Bessel Functions of Integer Order. - 6.7 Bessel Functions of Fractional Order, Airy Functions, Spherical Bessel Functions. - 6.8 Spherical Harmonics. - 6.9 Fresnel Integrals, Cosine and Sine Integrals. - 6.10 Dawson's Integral. - 6.11 Elliptic Integrals and Jacobian Elliptic Functions. - 6.12 Hypergeometric Functions. - 7 Random Numbers. - 7.0 Introduction. - 7.1 Uniform Deviates. - 7.2 Transformation Method: Exponential and Normal Deviates. - 7.3 Rejection Method: Gamma, Poisson, Binomial Deviates. - 7.4 Generation of Random Bits. - 7.5 Random Sequences Based on Data Encryption. - 7.6 Simple Monte Carlo Integration. - 7.7 Quasi- (that is, Sub-) Random Sequences. - 7.8 Adaptive and Recursive Monte Carlo Methods. - 8 Sorting. - 8.0 Introduction. - 8.1 Straight Insertion and Shell's Method. - 8.2 Quicksort. - 8.3 Heapsort. - 8.4 Indexing and Ranking. - 8.5 Selecting the Mth Largest. - 8.6 Determination of Equivalence Classes. - 9 Root Finding and Nonlinear Sets of Equations. - 9.0 Introduction. - 9.1 Bracketing and Bisection. - 9.2 Secant Method, False Position Method, and Ridders' Method. - 9.3 Van Wijngaarden-Dekker-Brent Method. - 9.4 Newton-Raphson Method Using Derivative. - 9.5 Roots of Polynomials. - 9.6 Newton-Raphson Method for Nonlinear Systems of Equations. - 9.7 Globally Convergent Methods for Nonlinear Systems of Equations. - 10 Minimization or Maximization of Functions. - 10.0 Introduction. - 10.1 Golden Section Search in One Dimension. - 10.2 Parabolic Interpolation and Brent's Method in One Dimension. - 10.3 One-Dimensional Search with First Derivatives. - 10.4 Downhill Simplex Method in Multidimensions. - 10.5 Direction Set (Powell's) Methods in Multidimensions. - 10.6 Conjugate Gradient Methods in Multidimensions. - 10.7 Variable Metric Methods in Multidimensions. - 10.8 Linear Programming and the Simplex Method. - 10.9 Simulated Annealing Methods. - 11 Eigensystems. - 11.0 Introduction. - 11.1 Jacobi Transformations of a Symmetric Matrix. - 11.2 Reduction of a Symmetric Matrix to Tridiagonal Form: Givens and Householder Reductions. - 11.3 Eigenvalues and Eigenvectors of a Tridiagonal Matrix. - 11.4 Hermitian Matrices. - 11.5 Reduction of a General Matrix to Hessenberg Form. - 11.6 The QR Algorithm for Real Hessenberg Matrices. - 11.7 Improving Eigenvalues and/or Finding Eigenvectors by Inverse Iteration. - 12 Fast Fourier Transform. - 12.0 Introduction. - 12.1 Fourier Transform of Discretely Sampled Data. - 12.2 Fast Fourier Transform (FFT). - 12.3 FFT of Real Functions, Sine and Cosine Transforms. - 12.4 FFT in Two or More Dimensions. - 12.5 Fourier Transforms of Real Data in Two and Three Dimensions. - 12.6 External Storage or Memory-Local FFTs. - 13 Fourier and Spectral Applications. - 13.0 Introduction. - 13.1 Convolution and Deconvolution Using the FFT. - 13.2 Correlation and Autocorrelation Using the FFT. - 13.3 Optimal (Wiener) Filtering with the FFT. - 13.4 Power Spectrum Estimation Using the FFT. - 13.5 Digital Filtering in the Time Domain. - 13.6 Linear Prediction and Linear Predictive Coding. - 13.7 Power Spectrum Estimation by the Maximum Entropy (All Poles) Method. - 13.8 Spectral Analysis of Unevenly Sampled Data. - 13.9 Computing Fourier Integrals Using the FFT. - 13.10 Wavelet Transforms. - 13.11 Numerical Use of the Sampling Theorem. - 14 Statistical Description of Data. - 14.0 Introduction. - 14.1 Moments of a Distribution: Mean, Variance, Skewness, and So Forth. - 14.2 Do Two Distributions Have the Same Means or Variances?. - 14.3 Are Two Distributions Different?. - 14.4 Contingency Table Analysis of Two Distributions. - 14.5 Linear Correlation. - 14.6 Nonparametric or Rank Correlation. - 14.7 Do Two-Dimensional Distributions Differ?. - 14.8 Savitzky-Golay Smoothing Filters. - 15 Modeling of Data. - 15.0 Introduction. - 15.1 Least Squares as a Maximum Likelihood Estimator. - 15.2 Fitting Data to a Straight Line. - 15.3 Straight-Line Data with Errors in Both Coordinates. - 15.4 General Linear Least Squares. - 15.5 Nonlinear Models. - 15.6 Confidence Limits on Estimated Model Parameters. - 15.7 Robust Estimation. - 16 Integration of Ordinary Differential Equations. - 16.0 Introduction. - 16.1 Runge-Kutta Method. - 16.2 Adaptive Stepsize Control for Runge-Kutta. - 16.3 Modified Midpoint Method. - 16.4 Richardson Extrapolation and the Bulirsch-Stoer Method. - 16.5 Second-Order Conservative Equations. - 16.6 Stiff Sets of Equations. - 16.7 Multistep, Multivalue, and Predictor-Corrector Methods. - 17 Two Point Boundary Value Problems. - 17.0 Introduction. - 17.1 The Shooting Method. - 17.2 Shooting to a Fitting Point. - 17.3 Relaxation Methods. - 17.4 A Worked Example: Spheroidal Harmonics. - 17.5 Automated Allocation of Mesh Points. - 17.6 Handling Internal Boundary Conditions or Singular Points. - 18 Integral Equations and Inverse Theory. - 18.0 Introduction. - 18.1 Fredholm Equations of the Second Kind. - 18.2 Volterra Equations. - 18.3 Integral Equations with Singular Kernels. - 18.4 Inverse Problems and the Use of A Priori Information. - 18.5 Linear Regularization Methods. - 18.6 Backus-Gilbert Method. - 18.7 Maximum Entropy Image Restoration. - 19 Partial Differential Equations. - 19.0 Introduction. - 19.1 Flux-Conservative Initial Value Problems. - 19.2 Diffusive Initial Value Problems. - 19.3 Initial Value Problems in Multidi

Note: Magma Generation and Break-Up Processes --- R. S. White: Magmatism during and after continental break-up / Geological Society, London, Special Publications, 68:1-16, doi:10.1144/GSL.SP.1992.068.01.01 --- Millard F. Coffin and Olav Eldholm: Volcanism and continental break-up: a global compilation of large igneous provinces / Geological Society, London, Special Publications, 68:17-30, doi:10.1144/GSL.SP.1992.068.01.02 --- Martin A. Menzies: The lower lithosphere as a major source for continental flood basalts: a re-appraisal / Geological Society, London, Special Publications, 68:31-39, doi:10.1144/GSL.SP.1992.068.01.03 --- A. D. Saunders, M. Storey, R. W. Kent, and M. J. Norry: Consequences of plume-lithosphere interactions / Geological Society, London, Special Publications, 68:41-60, doi:10.1144/GSL.SP.1992.068.01.04 --- S. A. Gibson, R. N. Thompson, P. T. Leat, A. P. Dickin, M. A. Morrison, G. L. Hendry, and J. G. Mitchell: Asthenosphere-derived magmatism in the Rio Grande rift, western USA: implications for continental break-up / Geological Society, London, Special Publications, 68:61-89, doi:10.1144/GSL.SP.1992.068.01.05 --- D. K. Bailey: Episodic alkaline igneous activity across Africa: implications for the causes of continental break-up / Geological Society, London, Special Publications, 68:91-98, doi:10.1144/GSL.SP.1992.068.01.06 --- Don L. Anderson, Yu-Shen Zhang, and Toshiro Tanimoto: Plume heads, continental lithosphere, flood basalts and tomography / Geological Society, London, Special Publications, 68:99-124, doi:10.1144/GSL.SP.1992.068.01.07 --- Martin H. P. Bott: The stress regime associated with continental break-up / Geological Society, London, Special Publications, 68:125-136, doi:10.1144/GSL.SP.1992.068.01.08 --- Early Stages of Gondwana Break-Up --- K. G. Cox: Karoo igneous activity, and the early stages of the break-up of Gondwanaland / Geological Society, London, Special Publications, 68:137-148, doi:10.1144/GSL.SP.1992.068.01.09 --- B. C. Storey, T. Alabaster, M. J. Hole, R. J. Pankhurst, and H. E. Wever: Role of subduction-plate boundary forces during the initial stages of Gondwana break-up: evidence from the proto-Pacific margin of Antarctica / Geological Society, London, Special Publications, 68:149-163, doi:10.1144/GSL.SP.1992.068.01.10 --- David H. Elliot: Jurassic magmatism and tectonism associated with Gondwanaland break-up: an Antarctic perspective / Geological Society, London, Special Publications, 68:165-184, doi:10.1144/GSL.SP.1992.068.01.11 --- T. S. Brewer, J. M. Hergt, C. J. Hawkesworth, D. Rex, and B. C. Storey: Coats Land dolerites and the generation of Antarctic continental flood basalts / Geological Society, London, Special Publications, 68:185-208, doi:10.1144/GSL.SP.1992.068.01.12 --- C. W. Rapela and R. J. Pankhurst: The granites of northern Patagonia and the Gastre Fault System in relation to the break-up of Gondwana / Geological Society, London, Special Publications, 68:209-220, doi:10.1144/GSL.SP.1992.068.01.13 --- South Atlantic Opening --- C. J. Hawkesworth, K. Gallagher, S. Kelley, M. Mantovani, D. W. Peate, M. Regelous, and N. W. Rogers: Paraná magmatism and the opening of the South Atlantic / Geological Society, London, Special Publications, 68:221-240, doi:10.1144/GSL.SP.1992.068.01.14 --- Marjorie Wilson: Magmatism and continental rifting during the opening of the South Atlantic Ocean: a consequence of Lower Cretaceous super-plume activity? / Geological Society, London, Special Publications, 68:241-255, doi:10.1144/GSL.SP.1992.068.01.15 --- M. P. R. Light, M. P. Maslanyj, and N. L. Banks: New geophysical evidence for extensional tectonics on the divergent margin offshore Namibia / Geological Society, London, Special Publications, 68:257-270, doi:10.1144/GSL.SP.1992.068.01.16 --- Northwest Indian Ocean and Gulf of Aden --- C. W. Devey and W. E. Stephens: Deccan-related magmatism west of the Seychelles-India rift / Geological Society, London, Special Publications, 68:271-291, doi:10.1144/GSL.SP.1992.068.01.17 --- M. A. Menzies, J. Baker, D. Bosence, C. Dart, I. Davison, A. Hurford, M. Al’Kadasi, K. McClay, G. Nichols, A. Al’Subbary, and A. Yelland: The timing of magmatism, uplift and crustal extension: preliminary observations from Yemen / Geological Society, London, Special Publications, 68:293-304, doi:10.1144/GSL.SP.1992.068.01.18 --- North Atlantic Opening --- Jakob Skogseid, Tom Pedersen, Olav Eldholm, and Bjørn T. Larsen: Tectonism and magmatism during NE Atlantic continental break-up: the Vøring Margin / Geological Society, London, Special Publications, 68:305-320, doi:10.1144/GSL.SP.1992.068.01.19 --- Lotte M. Larsen, Asger K. Pedersen, Gunver K. Pedersen, and Stefan Piasecki: Timing and duration of Early Tertiary volcanism in the North Atlantic: new evidence from West Greenland / Geological Society, London, Special Publications, 68:321-333, doi:10.1144/GSL.SP.1992.068.01.20 --- R. C. O. Gill, A. K. Pedersen, and J. G. Larsen: Tertiary picrites in West Greenland: melting at the periphery of a plume? / Geological Society, London, Special Publications, 68:335-348, doi:10.1144/GSL.SP.1992.068.01.21 --- Paul Martin Holm, Niels Hald, and Troels F. D. Nielsen: Contrasts in composition and evolution of Tertiary CFBs between West and East Greenland and their relations to the establishment of the Icelandic mantle plume / Geological Society, London, Special Publications, 68:349-362, doi:10.1144/GSL.SP.1992.068.01.22 --- H. C. Larsen and C. Marcussen: Sill-intrusion, flood basalt emplacement and deep crustal structure of the Scoresby Sund region, East Greenland / Geological Society, London, Special Publications, 68:365-386, doi:10.1144/GSL.SP.1992.068.01.23 --- Aidan M. Joy: Right place, wrong time: anomalous post-rift subsidence in sedimentary basins around the North Atlantic Ocean / Geological Society, London, Special Publications, 68:387-393, doi:10.1144/GSL.SP.1992.068.01.24

Note: Chapter 1. Introduction by S. W. Bailey, p. 1 - 8 Chapter 2. Polytypism of 1:1 Layer Silicates by S. W. Bailey, p. 9 - 28 Chapter 3. Kaolin Minerals: Structures and Stabilities by S. W. Bailey, p. 29 - 66 Chapter 4. Kaolin Minerals: Their Genesis and Occurrences by Haydn H. Murray, p. 67 - 90 Chapter 5. Serpentine Minerals: Structures and Petrology by Frederick J. Wick & D. S. O'Hanley, p. 91 - 168 Chapter 6. Structures and Compositions of Other Trioctahedral 1:1 Phyllosilicates by S.W. Bailey, p. 169 - 188 Chapter 7. Isotopic Studies of Phyllosilicates by Samuel M. Savin and M. Lee, p. 189 - 224 Chapter 8. Talc, Pyrophyllite, and Related Minerals by Bernard W. Evans and Stephen J. Guggenheim, p. 225 - 294 Chapter 9. Stability, Phase Relations, and Thermodynamic Properties of Chlorite and Serpentine Group Minerals by Joseph V. Chernosky, Jr., Rob G. Berman and L. Taras Bryndzia, p. 295 - 346 Chapter 10. Chlorites: Structures and Crystal Chemistry by S.W. Bailey, p. 347 - 404 Chapter 11. Chlorites: Metamorphic Petrology by Jo Laird, p. 405 - 454 Chapter 12. Vermiculite by C. de la Calle and Helene Suquet, p. 455 - 496 Chapter 13. Smectites by N. Güven, p. 497 - 560 Chapter 14. Vector Representation of Phyllosilicate Compositions by Donald M. Burt, p. 561 - 600 Chapter 15. Mixed Layer Chlorite Minerals by Robert C. Reynolds, Jr., p. 601 - 630 Chapter 16. Sepiolite and Palygorskite by Blair F. Jones and Emilio Galan Huertos, p. 631 - 674 Chapter 17. Crystal Chemistry, Classification, and Identification of Modulated Layer Silicates by Stephen J. Guggenheim and Richard A. Eggleton, p. 675 - 725

Note: CONTENTS Introduction / J. C. Davis Integrating Geological Datasets With a Raster-Based Geographic In/ormation System / G. F. Bonham-Carter Integration of Geological Datasets for Gold Exploration in Nova Scotia / G. F. Bonham-Carter, F. P. Agterberg, and D. F. Wright GIS and Computer-Mapping Aspects of the Austrian Stream-Sediment Geochemical Sampling Project / G. Hausberger Power to the People! PC and Workstation Mapping and Database Systems / M. J. McCullagh Three-Dimensional Display of Geologic Data / J. N. Van Driel

Note: Table of Contents: Copyright; Additional copies. - Foreword and acknowledgements. - Chapter 1. Cosmochemistry of the Rare Earth Elements: Condensation and Evaporation Processes / by William V. Boynton. - Introduction. - Meteorites. - Astrophysical context for interpretation of cosmochemical data. - Solar nebula. - Solar abundances. - Cosmochemical properties of the REE. - REE condensation reactions. - Activity coefficients. - Partial pressures. - Solid / gas distribution coefficients. - Why are the REE volatilities so different?. - Calculated REE patterns. - Early condensates. - Removing REE in the gas. - Comparison with meteoritic data. - Ultra-refractory component. - Group II inclusions. - FUN inclusions. - REE condensation as a function of oxygen fugacity. - Rims on CAI. - What have we learned from the REE?. - High temperatures were achieved in the solar nebula. - A very efficient mechanism for gas/dust separation existed in the solar nebula. - The high nebular temperatures existed for a long time. - A very intense, very brief, heat source also existed. - The solar nebula was a chaotic environment. - Summary. - Acknowledgements. - References. - Chapter 2. Radiogenic Isotope Geochemistry of Rare Earth Elements / by P. Jonathan Patchett. - Introduction. - Long-lived radioactive isotopes of Rare Earth Elements. - 138La-138Ce decay. - 147Sm-143Nd decay. - 176Lu-176Hf decay. - Cemical variations of La/Ce, Sm/Nd and Lu/Hf ratios. - Geochronological studies. - La-Ce and Lu-Hf chronology. - Sm-Nd chronology. - Defining bulk planetary isotopic evolution. - Isotopic study of planetary interiors. - The Moon. - The Earth. - Nd isotopes in studies of terrestrial crustal evolution. - Model Nd ages of continental crust. - Growth curves for the continental crust. - Origin of granitoids. - Nd isotopes and the sedimentary system. - Characterization of whole crustal terranes. - Crustal Lu-Hf isotopic studies. - Major unsolved problems. - Continental crustal growth curve. - Abundance of Archean continental crust. - Origin of mantle isotopic variations. - References. - Chapter 3. Partitioning of Rare Earth Elements between Major Silicate Minerals and Basaltic Melts / by Gordon A. McKay. - Introduction. - Usefulness of the REE for petrogenetic modelling. - Scope of this chapter. - Caveat. - How partition coefficients are measured. - Phenocryst/matrix studies of natural samples. - Experimental measurement of partition coefficients. - Basic experimental approach. - Equilibrium. - Percent level doping technique. - Beta-track mapping technique. - Other experimental approaches. - Henry's law: The applicability of percent-level doping results. - Factors governing mineral/melt partitioning. - Ionic size and charge of trace element. - Crystal field effects. - Cristallographic versus defect sites: The Henry's law question. - Phase compositions. - Oxidation state. - Thermodynamic relationships: Dependence of partitioning on temperature and composition. - Other predictive approaches. - Special applications. - Eu as an oxygen fugacity indicator. - Origin of the Eu anomaly in lunar mare basalts. - REE partition coefficient patterns for the major minerals. - Plagioclase. - Olivine. - Pyroxene. - Low-Ca pyroxene. - High-Ca pyroxene. - Garnet. - Future directions. - Acknowledgements. - References. - Chapter 4. An Approach to Trace Element Modeling Using a Simple Igneous System as an Example / by Gilbert N. Hanson. - Introduction. - Review of trace element equations. - Melting. - Fractional crystallization. - Melting versus fractional crystallization. - Essential structural constituents. - Example of petrogenetic approach. - Discussion and summary. - Acknowledgements. - References. - Chapter 5. Rare Earth Elements in Upper Mantle Rocks / by W. F. McDonough and Fredrick A. Frey. - Introduction. - Massive peridotites. - Massive peridotites: dominantly lherzolite Western Alps - Lanzo. - Western Alps -Baldissero, Balmuccia. - Eastern Liguria, Italy. - Western Liguria, Italy. - Eastern Pyrenees - France. - Ronda, Spain Effects of late stage alteration on REE. - What can be inferred about the melting process and the segregated melts?. - Massive peridotites: pyroxenite layers and veins and their wall rocks. - Amphibole-bearing pyroxenite veins. - Anhydrous pyroxenite layers. - How were the pyroxenite layers created? Evidence for multistage processes. - Implications for mantle enrichment processes (metasomatism). - Massive peridotites: dominantly harzburgite. - Oceanic peridotites. - Ultramafic xenoliths. - Group I spinel peridotites. - Garnet peridotites. - Pyroxenite and related xenoliths. - Models for REE abundance trends in peridotite xenoliths. - Megacrysts, minerals in xenoliths and damong inclusions. - Megacrysts. - Minerals in peridotites and pyroxenites. - Inclusions in diamonds. - Summary: comparison of peridotites from massifs and xenoliths and implications of REE data for Upper Mantle composition. - Acknowledgements. - References. - Chapter 6. Rare Earth Elements in Metamorphic Rocks / by Richard I. Grauch. - Introduction. - REE residence in metamorphic rocks. - REE mobility during metamorphism. - REE content of metamorphic rocks. - Suggestions for future work. - Acknowledgements. - References. - Chapter 7. Rare Earth Elements in Sedimentary Rocks: Influence of Provenance and Sedimentary Processes / by Scott M. McLennan. - Introduction. - Rare earth element properties and sedimentary rocks. - Cosmochemical considerations. - Geochemical considerations. - Aqueous geochemistry. - Normalizing and notation. - Sedimentary processes. - Weathering. - Diagenesis. - Sedimentary sorting. - REE and provenance studies. - Sedimentary rocks and crustal abundances. - Sedimentation and plate tectonics. - Archean sedimentary rocks and the Archean crust. - Archean greenstone belts. - REE in sedimentary rocks and crustal evolution. - Acknowledgements. - References. - Chapter 8. Aqueous Geochemistry of Rare Earth Elements / by Douglas G. Brookins. - Introduction. - The trivalent lanthanides (Ln III). - Types of complexes in solution. - Hydrolysis products. - Phosphate complexes. - Carbonate complexes. - Halide complexes. - Complexes with total dissolved sulfur. - Gadolinium-Terbium fractionation?. - Scandium and Yttrium. - Europium (II). - Cerium (IV). - Eh-pH diagrams. - Cerium. - Europium. - Other lanthanides. - Lanthanides in ocean waters. - Lanthanides and actinides. - Concluding remarks. - Acknowledgements. - References. - Chapter 9. Rare Earth Elements in Lunar Materials / by Larry A. Haskin. - Introduction. - The nature of planet moon. - The magma ocean hypothesis and its presumed products. - Lunar REE patterns. - Highland plutonic rocks. - Anorthosites. - Durâtes, troctolites, norites, and gabbros. - Lunar felsite (granite). - Highland volcanic rocks: KREEP. - Mare basalts. - Mare basalt sources as magma ocean products. - Assimilation of crusted material during basalt petrogenesis. - Glassy spherules. - Soils and breccias. - Caveat. - Acknowledgements. - References. - Chapter 10. Compositional and Phase Relations among Rare Earth Element Minerals / by Donald M. Burt. - Introduction. - Geochemical background. - Minerals. - Coupled substitutions. - Vector treatment. - Application to selected mineral groups. - Fluorides. - Carbonates. - Fluorocarbonates. - Monazite, xenotime, zircon, and related phases. - Apatites. - Florencite and related phases. - A-B oxides (niobates, tantalates, titanates, ferrites). - Fergusonitelbetafergusonite, ABO4. - Perovskite, ABO3. - Aeschyniteleuxenite, AB2O6. - Pyrochlore, A1-2B2O6(O,F,OH). - Allanite. - Titanite. - Garnet. - Gadolinite. - Chevkinite/perrierite. - Element distributions: acid-base relations. - Summary. - Acknowledgemen

Note: CONTENTS: PREFACE. - INTRODUCTION. - 1 DESCRIBING INVERSE PROBLEMS. - 1.1 Formulating Inverse Problems. - 1.2 The Linear Inverse Problem. - 1.3 Examples of Formulating Inverse Problems. - 1.4 Solutions to Inverse Problems. - 2 SOME COMMENTS ON PROBABILITY THEORY. - 2.1 Noise and Random Variables. - 2.2 Correlated Data. - 2.3 Functions of Random Variables. - 2.4 Gaussian Distributions. - 2.5 Testing the Assumption of Gaussian Statistics. - 2.6 Confidence Intervals. - 3 SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 1: THE LENGTH METHOD. - 3.1 The Lengths of Estimates. - 3.2 Measures of Length. - 3.3 Least Squares for a Straight Line. - 3.4 The Least Squares Solution of the Linear Inverse Problem. - 3.5 Some Examples. - 3.6 The Existence of the Least Squares Solution. - 3.7 The Purely Underdetermined Problem. - 3.8 Mixed-Determined Problems. - 3.9 Weighted Measures of Length as a Type of A Priori Information. - 3.10 Other Types of A Priori Information. - 3.11 The Variance of the Model Parameter Estimates. - 3.12 Variance and Prediction Error of the Least Squares Solution. - 4 SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 2: GENERALIZED INVERSES. - 4.1 Solutions versus Operators. - 4.2 The Data Resolution Matrix. - 4.3 The Model Resolution Matrix. - 4.4 The Unit Covariance Matrix. - 4.5 Resolution and Covariance of Some Generalized Inverses. - 4.6 Measures of Goodness of Resolution and Covariance. - 4.7 Generalized Inverses with Good Resolution and Covariance. - 4.8 Sidelobes and the Backus-Gilbert Spread Function. - 4.9 The Backus-Gilbert Generalized Inverse for the Underdetermined Problem. - 4.10 Including the Covariance Size. - 4.11 The Trade-off of Resolution and Variance. - 5 SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 3: MAXIMUM LIKELIHOOD METHODS. - 5.1 The Mean of a Group of Measurements. - 5.2 Maximum Likelihood Solution of the Linear Inverse Problem. - 5.3 A Priori Distributions. - 5.4 Maximum Likelihood for an Exact Theory. - 5.5 Inexact Theories. - 5.6 The Simple Gaussian Case with a Linear Theory. - 5.7 The General Linear, Gaussian Case. - 5.8 Equivalence of the Three Viewpoints. - 5.9 The F Test of Error Improvement Significance. - 5.10 Derivation of the Formulas of Section 5.7. - 6 NONUNIQUENESS AND LOCALIZED AVERAGES. - 6.1 Null Vectors and Nonuniqueness. - 6.2 Null Vectors of a Simple Inverse Problem. - 6.3 Localized Averages of Model Parameters. - 6.4 Relationship to the Resolution Matrix. - 6.5 Averages versus Estimates. - 6.6 Nonunique Averaging Vectors and A Priori Information. - 7 APPLICATIONS OF VECTOR SPACES. - 7.1 Model and Data Spaces. - 7.2 Householder Transformations. - 7.3 Designing Householder Transformations. - 7.4 Transformations That Do Not Preserve Length. - 7.5 The Solution of the Mixed-Determined Problem. - 7.6 Singular-Value Decomposition and the Natural Generalized Inverse. - 7.7 Derivation of the Singular-Value Decomposition. - 7.8 Simplifying Linear Equality and Inequality Constraints. - 7.9 Inequality Constraints. - 8 LINEAR INVERSE PROBLEMS AND NON-GAUSSIAN DISTRIBUTIONS. - 8.1 L1 Norms and Exponential Distributions. - 8.2 Maximum Likelihood Estimate of the Mean of an Exponential Distribution. - 8.3 The General Linear Problem. - 8.4 Solving L1 Norm Problems. - 8.5 The L [Infinity symbol] Norm. - 9 NONLINEAR INVERSE PROBLEMS. - 9.1 Parameterizations. - 9.2 Linearizing Parameterizations. - 9.3 The Nonlinear Inverse Problem with Gaussian Data. - 9.4 Special Cases. - 9.5 Convergence and Nonuniqueness of Nonlinear L2 Problems. - 9.6 Non-Gaussian Distributions. - 9.7 Maximum Entropy Methods. - 10 FACTOR ANALYSIS. - 10.1 The Factor Analysis Problem. - 10.2 Normalization and Physicality Constraints. - 10.3 Q-Mode and R-Mode Factor Analysis. - 10.4 Empirical Orthogonal Function Analysis. - 11 CONTINUOUS INVERSE THEORY AND TOMOGRAPHY. - 11.1 The Backus-Gilbert Inverse Problem. - 11.2 Resolution and Variance Trade-off. - 11.3 Approximating Continuous Inverse Problems as Discrete Problems. - 11.4 Tomography and Continuous Inverse Theory. - 11.5 Tomography and the Radon Transform. - 11.6 The Fourier Slice Theorem. - 11.7 Backprojection. - 12 SAMPLE INVERSE PROBLEMS. - 12.1 An Image Enhancement Problem. - 12.2 Digital Filter Design. - 12.3 Adjustment of Crossover Errors. - 12.4 An Acoustic Tomography Problem. - 12.5 Temperature Distribution in an Igneous Intrusion. - 12.6 L1, L2, and L [infinity symbol] Fitting of a Straight Line. - 12.7 Finding the Mean of a Set of Unit Vectors. - 12.8 Gaussian Curve Fitting. - 12.9 Earthquake Location. - 12.10 Vibrational Problems. - 13 NUMERICAL ALGORITHMS. - 13.1 Solving Even-Determined Problems. - 13.2 Inverting a Square Matrix. - 13.3 Solving Underdetermined and Overdetermined Problems. - 13.4 L2 Problems with Inequality Constraints. - 13.5 Finding the Eigenvalues and Eigenvectors of a Real Symmetric Matrix. - 13.6 The Singular-Value Decomposition of a Matrix. - 13.7 The Simplex Method and the Linear Programming Problem. - 14 APPLICATIONS OF INVERSE THEORY TO GEOPHYSICS. - 14.1 Earthquake Location and the Determination of the Velocity Structure of the Earth from Travel Time Data. - 14.2 Velocity Structure from Free Oscillations and Seismic Surface Waves. - 14.3 Seismic Attenuation. - 14.4 Signal Correlation. - 14.5 Tectonic Plate Motions. - 14.6 Gravity and Geomagnetism. - 14.7 Electromagnetic Induction and the Magnetotelluric Method. - 14.8 Ocean Circulation. - APPENDIX A: Implementing Constraints with Lagrange Multipliers. - APPENDIX B: L2 Inverse Theory with Complex Quantities. - REFERENCES. - INDEX

Note: CONTENTS Preface / A. Berger, R. E. Dickinson and John W. Kidson I WORLD CLIMATE RESEARCH PROGRAMME 1. The World Climate Research Programme / Gordon A. McBean II. PALEOCLIMATES AND ICE 2. Long-Term Climatic and Environmental Records from Antarctic Ice / C. Lorius, J-M Barnola, M. Legrand, J. R. Petit, D. Raynaud, C. Ritz, N. Barkov, Y. S. Korotkevich, V. N. Petrov, C. Genthon, J. Jouzel, V. M. Kotlyakov, F. Yiou, and G. Raisbeck 3. The Role of Land Ice and Snow in Climate / Michael H. Kuhn III. VOLCANOES AND CLIMATE 4. Petrologic Evidence of Volatile Emissions From Major Historic and Pre-Historic Volcanic Eruptions / Julie M. Palais and Haraldur Sigurdsson IV. BIOGEOCHEMICAL CYCLES, LAND HYDROLOGY, LAND SURFACE PROCESSES AND CLIMATE 5. Uptake by the Atlantic Ocean of Excess Atmospheric Carbon Dioxide and Radiocarbon / Bert Bolin, Anders Björkström and Berrien Moore 6. African Drought: Characteristics, Causal Theories and Global Teleconnections / Sharon E. Nicholson 7. Sensitivity of Climate Model to Hydrology / Duzheng Ye 8. Stability of Tree/Grass Vegetation Systems / Peter S. Eagleson V. TROPICAL OCEAN AND GLOBAL ATMOSPHERE 9. Toga and Atmospheric Processes / Kevin Trenberth 10. Toga Real Time Oceanography in the Pacific / David Halpern VI. MODELLING CLIMATE, PAST, PRESENT AND FUTURE 11. Aeronomy and Paleoclimate / J.-C. Gérard 12. Studies of Cretaceous Climate / Eric J. Barron 13. Simulations of the Last Glacial Maximum with an Atmospheric General Circulation Model Including Paleoclimatic Tracer Cycles / Sylvie Joussaume, Jean Jouzel and Robert Sadourny 14. Progress and Future Developments in Modelling the Climate System with General Circulation Models / P. R. Rowntree 15. Quantitative Analysis of Feedbacks in Climate Model Simulations / Michael E. Schlesinger

Note: Contents: Preface. - Acknowledgements. - Chapter 1 Introduction. - 1.1 The Static Structure of the Middle Atmosphere. - 1.2 Zonal Mean Temperature and Wind Distributions. - 1.3 Composition of the Middle Atmosphere. - 1.4 The Vertical Distribution of Eddy Amplitudes. - 1.5 Observational Techniques. - References. - Chapter 2 Radiative Processes and Remote Sounding. - 2.1 Introduction. - 2.2 Fundamentals. - 2.3 Gaseous Absorption Spectra. - 2.4 Transmission Functions. - 2.5 Infrared Radiative Exchange and Radiative Damping. - 2.6 Departure from Local Thermodynamic Equilibrium. - 2.7 Absorption of Solar Radiation. - 2.8 Radiative Equilibrium Temperature and Heating-Rate Distributions. - 2.9 Remote Sounding. - References. - Chapter 3 Basic Dynamics. - 3.1 Introduction. - 3.2 The Beta-Plane Approximation and Quasi-Geostrophic Theory. - 3.3 The Eulerian-Mean Equations. - 3.4 Linearized Disturbances to Zonal-Mean Flows. - 3.5 The Transformed Eulerian-Mean Equations. - 3.6 The Generalized Eliassen-Palm Theorem and the Charney-Drazin Nonacceleration Theorem. - 3.7 The Lagrangian Approach. - 3.8 Isentropic Coordinates. - 3.9 The Zonal-Mean Equations in Isentropic Coordinates. - Appendix 3A. Derivation of Some Equations in Isentropic Coordinates. - Appendix 3B. Boundary Conditions on the Residual Circulation. - References. - Chapter 4 Linear Wave Theory. - 4.1 Introduction and Classification of Wave Types. - 4.2 Wave Disturbances to a Resting Spherical Atmosphere. - 4.3 Atmospheric Thermal Tides. - 4.4 Free Traveling Planetary Waves. - 4.5 Forced Planetary Waves. - 4.6 Gravity Waves. - 4.7 Equatorial Waves. - Appendix 4A. Ray-Tracing Theory and Wave Action in a Slowly Varying Medium. - References. - Chapter 5 Extratropical Planetary-Scale Circulations. - 5.1 Introduction. - 5.2 The Observed Annual Cycle. - 5.3 Detailed Linear Models of Stationary Planetary Waves in the Middle Atmosphere. - 5.4 Detailed Linear Models of Free Traveling Planetary Waves in the Atmosphere. - 5.5 Barotropic and Baroclinic Instability. - 5.6 Planetary-Wave Critical Layers. - References. - Chapter 6 Stratospheric Sudden Warmings. - 6.1 Introduction. - 6.2 Observed Features of Sudden Warmings. - 6.3 Theoretical Modeling of Sudden Warmings. - 6.4 Conclusions. - References. - Chapter 7 The Extratropical Zonal-Mean Circulation. - 7.1 Introduction. - 7.2 Some Simple Zonally Averaged Models of the Middle Atmosphere. - 7.3 The Upper Mesosphere. - 7.4 The Winter Polar Stratosphere. - 7. 5 Interpretation and Generalization. - References. - Chapter 8 Equatorial Circulations. - 8.1 Introduction. - 8.2 The Observed Structure of the Equatorial Quasi-Biennial Oscillation. - 8.3 Theory of the Quasi-Biennial Oscillation. - 8.4 Observed Structure of the Equatorial Semiannual Oscillations. - 8.5 Dynamics of the Equatorial Semiannual Oscillations. - 8.6 Inertial Instability in the Equatorial Zone. - References. - Chapter 9 Tracer Transport in the Middle Atmosphere. - 9.1 Introduction: Types of Tracers. - 9.2 Long-Lived Chemical Tracers. - 9.3 Transport in the Meridional Plane. - 9.4 Formulations of Eddy and Mean-Flow Transport. - 9.5 Dispersive Wave Transport: Irreversible Mixing of Tracers. - 9.6 Troposphere-Stratosphere Exchange. - 9.7 Transport Modeling. - Appendix 9A. The Transformed Eulerian-Mean Transport for Small-Arnplitude Eddies. - References. - Chapter 10 The Ozone Layer. - 10.1 Introduction. - 10.2 The Climatology of Ozone. - 10.3 Elementary Aspects of Photochemical Modeling. - 10.4 Photochemistry of Ozone: Catalytic Cycles. - 10.5 Models of the Natural and Perturbed Ozone Layer. - Appendix 10A. The Continuity Equation for Chemical Species. - References. - Chapter 11 General Circulation Modeling. - 11.1 Models of the Lower Stratosphere. - 11.2 The GFDL SKYHI Model. - 11.3 Forecasting of Sudden Stratospheric Warmings. - 11.4 Transport Modeling. - References. - Chapter 12 Interaction between the Middle Atmosphere and the Lower Atmosphere. - 12.1 Introduction. - 12.2 Radiative Links: Deductions from Simple Models. - 12.3 Radiative Links: Deductions from GCMs. - 12.4 Dynamical Links: Vertically Propagating Planetary Waves. - 12.5 Interannual Variability in the Stratosphere. - References. - Bibliography. - Index.