ALBERT

Note: Contents: Introduction ; Part 1 - Spin Glasses ; 1. The Replica Approach ; 2 The Tap Approach ; 3 Breaking the Replica Symmetry ; 4 The Nature of the Spin Glass Phase ; 5 The Cavity Method ; 6 Dynamics ; Part 2 - Optimization ; 7 Combinatorial Optimization Problems ; 8 Simulated Annealing ; 9 Analytical Results ; Part 3 - Biological Application ; 10 Introduction ; 11 Prebiotic Evolution and Spin ; 12 Brain Modelling ; 13 The Hopfield Model and its Variations

Note: The Economic-Legal System and the Role of Property Rights: An Introduction ; 1 Foundation Stones: Politically-Based Versus Judge-Made Law ; Efficiency ; Two Basic Propositions ; Two Major Theorems on Property Rights ; 2 Society's Machinery: Coordination and Constitutions ; Markets and Firms ; Political Processes ; 3 Property, Breach of Contract, Tort, Crime: Formalized Property Rights ; Injunctions ; Damages or Punishment? ; Negligence: The Simplest Case ; Joint Responsibility ; Intent, Strict Liability, Insurance ; The Stringency of Sanctions ; The Behavior of Disputant Parties and Courts ; 4 Contracts, Companies, Regulation: Contracts: Problems and Solutions ; The Contractual and Legal Structure of Firms ; Limits of Freedom of Contract ; 5 Epilogue: Conclusions and Final Comments

Note: Contents: 1 Introduction ; 2 Income Taxation ; 3 Models of Optimal Lifetime Income Taxation with Time-Consistent Preferences ; 4 Models of Optimal Lifetime Income Taxation with Time-Inconsistent Preferences ; 5 Incomplete Markets and Social Security ; 6 Models of Optimal Retirement Incentives with Varying Disutility of Labor ; 7 Models of Optimal Retirement Incentives with Varying Life Expectancy ; 8 Pension Insurance Reform with a Focus onGermany ; 9 Theory and Policy

Note: Literaturverz. S. 265 - 280

Note: Contents: Contributors. - Preface. - Introduction and Scientific Background / J.C.R. Hunt, J. Norbury and I. Roulstone. - 1. A view of the equations of meteorological dynamics and various approximations / A. A. White. - 2. Extended-geostrophic Euler-Poincare models for mesoscale oceanographic flow / J. S. Allen, D. D. Holm and P. A. Newberger. - 3. Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts / A. Babin, A. Mahalov and B. Nicolaenko. - 4. New mathematical developments in atmosphere and ocean dynamics, and their application to computer simulations / M. J. P. Cullen. - 5. Rearrangements of functions with applications to meteorology and ideal fluid flow / R. J. Douglas. - 6. Statistical methods in atmospheric dynamics: probability metrics and discrepancy measures as a means of defining balance / S. Baigent and J. Norbury.

Note: Contents Prologue Acknowledgments List of Symbols PART I Foundations 1 INTRODUCTION: The Basic Challenge 1.1 The Climate System 1.2 Some Basic Observations 1.3 External Forcing 1.3.1 Astronomical Forcing 1.3.2 Tectonic Forcing 1.4 The Ice-Age Problem 2 TECHNIQUES FOR CLIMATE RECONSTRUCTION 2.1 Historical Methods 2.1.1 Direct Quantitative Measurements 2.1.2 Descriptive Accounts of General Environmental Conditions 2.2 Surficial Biogeologic Proxy Evidence 2.2.1 Annually Layered Life Forms 2.2.2 Surface Geomorphic Evidence 2.3 Conventional Nonisotopic Stratigraphic Analyses of Sedimentary Rock and Ice 2.3.1 Physical Indicators 2.3.2 Paleobiological Indicators (Fossil Faunal Types and Abundances) 2.4 Isotopic Methods 2.4.1 Oxygen Isotopes 2.4.2 Deuterium and Beryllium in Ice Cores 2.4.3 Stable Carbon Isotopes 2.4.4 Strontium and Osmium Isotopes 2.5 Nonisotopic Geochemical Methods 2.5.1 Cadmium Analysis 2.5.2 Greenhouse Gas Analysis of Trapped Air in Ice Cores 2.5.3 Chemical and Biological Constituents and Dust Layers in Ice Cores 2.6 Dating the Proxy Evidence (Geochronometry) 3 A SURVEY OF GLOBAL PALEOCLIMATIC VARIATIONS 3.1 The Phanerozoic Eon (Past 600 My) 3.2 The Cenozoic Era (Past 65 My) 3.3 The Plio-Pleistocene (Past 5 My) 3.4 Variations during the Last Ice Age: IRD Events 3.5 The Last Glacial Maximum (20 ka) 3.6 Postglacial Changes: The Past 20 ky 3.7 The Past 100 Years 3.8 The Generalized Spectrum of Climatic Variance 3.9 A Qualitative Discussion of Causes 4 GENERAL THEORETICAL CONSIDERATIONS 4.1 The Fundamental Equations 4.2 Time Averaging and Stochastic Forcing 4.3 Response Times and Equilibrium 4.4 Spatial Averaging 4.5 Climatic-Mean Mass and Energy Balance Equations 4.5.1 The Water Mass Balance 4.5.2 Energy Balance 5 SPECIAL THEORETICAL CONSIDERATIONS FOR PALEOCLIMATE: Structuring a Dynamical Approach 5.1 A Basic Problem: Noncalculable Levels of Energy and Mass Flow 5.2 An Overall Strategy 5.3 Notational Simplifications for Resolving Total Climate Variability 5.4 A Structured Dynamical Approach 5.5 The External Forcing Function, F 5.5.1 Astronomical/Cosmic Forcing 5.5.2 Tectonic Forcing 6 BASIC CONCEPTS OF DYNAMICAL SYSTEMS ANALYSIS: Prototypical Climatic Applications 6.1 Local (or Internal) Stability 6.2 The Generic Cubic Nonlinearity 6.3 Structural (or External) Stability: Elements of Bifurcation Theory 6.4 Multivariable Systems 6.4.1 The Two-Variable Phase Plane 6.5 A Prototype Two-Variable Model 6.5.1 Sensitivity of Equilibria to Changes in Parameters: Prediction of the Second Kind 6.5.2 Structural Stability 6.6 The Prototype Two-Variable System as a Stochastic-Dynamical System: Effects of Random Forcing 6.6.1 The Stochastic Amplitude 6.6.2 Structural Stochastic Stability 6.7 More Than Two-Variable Systems: Deterministic Chaos PART II Physics of the Separate Domains 7 MODELING THE ATMOSPHERE AND SURFACE STATE AS FAST-RESPONSE COMPONENTS 7.1 The General Circulation Model 7.2 Lower Resolution Models: Statistical-Dynamical Models and the Energy Balance Model 7.2.1 A Zonal-Average SDM 7.2.2 Axially Asymmetric SDMs 7.2.3 The Complete Time-Average State 7.3 Thermodynamic Models 7.3.1 Radiative-Convective Models 7.3.2 Vertically Averaged Models (the EBM) 7.4 The Basic Energy Balance Model 7.5 Equilibria and Dynamical Properties of the Zero-Dimensional (Global Average) EBM 7.6 Stochastic Resonance 7.7 The One-Dimensional (Latitude-Dependent) EBM 7.8 Transitivity Properties of the Atmospheric and Surface Climatic State: Inferences from a GCM 7.9 Closure Relationships Based on GCM Sensitivity Experiments 7.9.1 Surface Temperature Sensitivity 7.10 Formal Feedback Analysis of the Fast-Response Equilibrium State 7.11 Paleoclimatic Simulations 8 THE SLOW-RESPONSE "CONTROL" VARIABLES: An Overview 8.1 The Ice Sheets 8.1.1 Key Variables 8.1.2 Observations 8.2 Greenhouse Gases: Carbon Dioxide 8.3 The Thermohaline Ocean State 8.4 A Three-Dimensional Phase-Space Trajectory 9 GLOBAL DYNAMICS OF THE ICE SHEETS 9.1 Basic Equations and Boundary Conditions 9.2 A Scale Analysis 9.3 The Vertically Integrated Ice-Sheet Model 9.4 The Surface Mass Balance 9.5 Basal Temperature and Melting 9.6 Deformable Basal Regolith 9.7 Ice Streams and Ice Shelves 9.8 Bedrock Depression 9.9 Sea Level Change and the Ice Sheets: The Depression-Calving Hypothesis 9.10 Paleoclimatic Applications of the Vertically Integrated Model 9.11 A Global Dynamical Equation for Ice Mass 10 DYNAMICS OF ATMOSPHERIC CO2 10.1 The Air-Sea Flux, Q↑ 10.1.1 Qualitative Analysis of the Factors Affecting Q↑ 10.1.2 Mathematical Formulation of the Ocean Carbon Balance 10.1.3 A Parameterization for Q↑ 10.2 Terrestrial Organic Carbon Exchange, W↑G 10.2.1 Sea Level Change Effects 10.2.2 Thermal Effects 10.2.3 Ice Cover Effects 10.2.4 Long-Term Terrestrial Organic Burial, W↓G 10.2.5 The Global Mass Balance of Organic Carbon 10.3 Outgassing Processes, V↑ 10.4 Rock Weathering Downdraw, W↓ 10.5 A Global Dynamical Equation for Atmospheric CO2 10.6 Modeling the Tectonically Forced CO2 Variations, µˆ : Long-Term Rock Processes 10.6.1 The Long-Term Oceanic Carbon Balance 10.6.2 The GEOCARB Model 10.7 Overview of the Full Global Carbon Cycle 11 SIMPLIFIED DYNAMICS OF THE THERMOHALINE OCEAN STATE 11.1 General Equations 11.1.1 Boundary Conditions 11.2 A Prototype Four-Box Ocean Model 11.3 The Wind-Driven, Local-Convective, and Baroclinic Eddy Circulations 11.3.1 The Wind-Driven Circulation: Gyres and Upwelling 11.3.2 Local Convective Overturnings and Baroclinic Eddy Circulations 11.4 The Two-Box Thermohaline Circulation Model: Possible Bimodality of the Ocean State 11.4.1 The Two-Box System 11.4.2 A Simple Model of the TH Circulation 11.4.3 Meridional Fluxes 11.4.4 Dynamical Analysis of the Two-Box Model 11.5 Integral Equations for the Deep Ocean State 11.5.1 The Deep Ocean Temperature 11.5.2 The Deep Ocean Salinity 11.6 Global Dynamical Equations for the Thermohaline State: θ and Sφ PART III Unified Dynamical Theory 12 THE COUPLED FAST- AND SLOW-RESPONSE VARIABLES AS A GLOBAL DYNAMICAL SYSTEM: Outline of a Theory of Paleoclimatic Variation 12.1 The Unified Model: A Paleoclimate Dynamics Model 12.2 Feedback-Loop Representation 12.3 Elimination of the Fast-Response Variables: The Center Manifold 12.4 Sources of Instability: The Dissipative Rate Constants 12.5 Formal Separation into Tectonic Equilibrium and Departure Equations 13 FORCED EVOLUTION OF THE TECTONIC-MEAN CLIMATIC STATE 13.1 Effects of Changing Solar Luminosity and Rotation Rate 13.1.1 Solar Luminosity (S) 13.1.2 Rotation Rate (Ω) 13.2 General Effects of Changing Land-Ocean Distribution and Topography (h) 13.3 Effects of Long-Term Variations of Volcanic and Cosmic Dust and Bolides 13.4 Multimillion-Year Evolution of CO2 13.4.1 The GEOCARB Solution 13.4.2 First-Order Response of Global Ice Mass and Deep Ocean Temperature to Tectonic CO2 Variations 13.5 Possible Role of Salinity-Driven Instability of the Tectonic-Mean State 13.6 Snapshot Atmospheric and Surficial Equilibrium Responses to Prescribed y-Fields Using GCMs 14 THE LATE CENOZOIC ICE-AGE DEPARTURES: An Overview of Previous Ideas and Models 14.1 General Review: Forced vs. Free Models 14.1.1 Models in Which Earth-Orbital Forcing Is Necessary 14.1.2 Instability-Driven (Auto-oscillatory) Models 14.1.3 Hierarchical Classification in Terms of Increasing Physical Complexity 14.2 Forced Ice-Line Models (Box 1, Fig. 14-1) 14.3 Ice-Sheet Inertia Models 14.3.1 The Simplest Forms (Box 2) 14.3.2 More Physically Based Ice-Sheet Models: First Applications 14.3.3 Direct Bedrock Effects (Box 3) 14.3.4 Bedrock-Calving Effects (Box 4) 14.3.5 Basal Meltwater and Sliding (Box 5) 14.3.6 Ice Streams and Ice Shelf Effects 14.3.7 Continental Ice-Sheet Movement (Box 6) 14.3.8 Three-Dimensional (λ, φ, hI) Ice-Sheet Models 14.4 The Need for Enhancement of the Coupled Ice-Sheet/Atmospheric Climate Models 14.5 Ice-Sheet Variables Coupled with Additional Slow-Response Variables 14.5.1 Regolith Mass, mr (Box 7) 14.5.2 The Deep Ocean Te

Note: Contents: Initial circumstances. - Conclusions. - State of affairs. - Detection and attribution of climate change. - Climate impact research. - The political dimension of climate change. - Climate protection from ethical points of view. - Economic aspects of climate politics. - Flexible instruments - the situation in Germany. - Legal framework for climate protection. - Trans-disciplinary evaluation of climate problems. - Trans-disciplinary evaluation of modelling future climates. - Preconditions for the determination of objectives in climate politics. - Elements of rational climate politics. - Precautionary principle and the principle of adequacy. - Economic and ethical rationality. - Strategies for coherent climate politics. -

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 Acknowledgements Executive Summary with Key Findings and Recommendations Current State of the Art Key Scientific Challenges and Recommendations Major New Synthesis Initiative Required Implementation of Arctic-CHAMP Policy Implications Summary 1. Introduction Rationale for Pan-Arctic Hydrologic Synthesis Report Framework 2. A Strategy for Detecting and Understanding Arctic Hydrological Change: Arctic-CHAMP Arctic-CHAMP Basic Long-Term Monitoring Arctic-CHAMP Field-Based Process Studies Arctic-CHAMP Synthesis Modeling Execution of Arctic-CHAMP 3. Role and Importance of Water in the Arctic System The Integrated Water Cycle of the Pan-Arctic Land Atmosphere Ocean Importance of Arctic Hydrology to the Arctic System Importance of the Arctic to the Earth System 4. Unprecedented Change to Arctic Hydrological Systems Changes to the Land-Based Hydrologic Cycle Changes to the Atmosphere The Changing Arctic Ocean and its Regional Seas 5. Impacts and Feedbacks Associated with Arctic Hydrological Change Direct Impacts on Ecosystems Arctic Water Cycle Change and Humans Land-Atmosphere-Ocean Feedbacks Land-Atmosphere-Ocean-Human Feedbacks 6. Implementation of Arctic-CHAMP References Appendix 1. NSF-ARCSS Arctic Hydrology Workshop Participants Appendix 2. Current Gaps in Understanding the Pan-Arctic Hydrological Cycle Appendix 3. Integration of Arctic-CHAMP with NSF and Other Federal Agency Initiatives Appendix 4. International Collaborations

Note: Contents: Part I. Introduction: 1. Probabilistic risk analysis ; Part II. Theoretical Issues and Background: 2. What is uncertainty? ; 3. Probabilistic methods ; 4. Statistical inference ; 5. Weibull analysis ; Part II. System Analysis and Quantification: 6. Fault and event trees ; 7. Fault trees - analysis ; 8. Dependent failures ; 9. Reliability data bases ; 10. Expert opinion ; 11. Human reliability ; 12. Software reliability ; Part IV. Uncertainty Modeling and Risk Measurement: 13. Decision theory ; 14. Influence diagrams and belief nets ; 15. Project risk management ; 16. Probabilistic inversion ; 17. Uncertainty analysis ; 18. Risk measurement and regulation ; Bibliography ; Index.

Note: Contents: Introduction / Günther G. Schulze and Heinrich W. Ursprung -- International trade, investment, and the environment: theoretical issues / Günther G. Schulze and Heinrich W. Ursprung -- the empirical evidence on trade, investment, and the environment / Günther G. Schulze and Heinrich W. Ursprung -- the political economy of international trade and the environment / Günther g. Schulze and Heinrich W. Ursprung -- Trade, agriculture, and the environment / David E. Ervin -- International trade and sustainable forestry / Edward B. Barbier -- International trade in Hazardous waste Michael Rauscher -- Environmental taxation in open economies: trade policy distortions and the double dividend / Sjak Smulders -- Sustainable growth in open economies / Lucas Bretschger and Hannes Egli -- Incentives for international environmental cooperation: theoretical models and economic instruments / Carsten Schmidt -- Governing the global environmental commons: the political economy of international environmental treaties and institutions / Roger Congleton

Note: Contents: 1:Information, Equilibrium, Efficiency Concepts ; 2:No-Trade Theorems, Asset Pricing, Bubbles ; 3:Market Microstructure Models ; 4:Dynamic Models, Technical Analysis and Volume ; 5:Herding and Informational Cascades ; 6:Crashes, Investigative Herding, Bank Runs

Note: Contents Foreword Preface Summary for Policymakers Synthesis Report Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Working Group Summaries Working Group I: The Scientific Basis Working Group II: Impacts, Adaptation, and Vulnerability Working Group III: Mitigation Annexes A. Authors and Expert Reviewers B. Glossary of Terms C. Acronyms, Abbreviations, and Units D. Scientific, Technical, and Socio-Economic Questions Selected by the Panel E. List of Major IPCC Reports

Note: Contents: Contributors. - Foreword by Paul J. Crutzen. - Preface by David Schimel. - Introduction. - 1 Uncertainties of Global Biogeochemical Predictions / E. D. Schulze, D. S. S. Schimel. - 1.1 Introduction. - 1.2 The IGBP Transect Approach. - 1.2.1 The Patagonian Transect. - 1.2.2 The Australian Transect. - 1.2.3 The European Transect. - 1.3 Variability in Processes. - 1.4 Biome Approach and Functional Types. - 1.5 New Approaches to Functional Diversity. - 1.6 Conclusions. - References. - 2 Uncertainties of Global Climate Predictions / L. Bengtsson. - 2.1 Introduction. - 2.2 Observational Evidence. - 2.3 Physical Rationale. - 2.3.1 Stochastic Forcing. - 2.3.2 Solar irradiation Changes. - 2.3.3 Volcanic Effects. - 2.3.4 Anthropogenic Effects. - 2.4 Response to Forcing of the Climate System. - 2.5 Results from Climate Change Prediction Experiments. - 2.6 Summary and Conclusions. - References. - 3 Uncertainties in the Atmospheric Chemical System / G. P. Brasseur, E. A. H. Holland. - 3.1 Introduction. - 3.2 Synthetic View of Chemical Processes in the Troposphere. - 3.3 The IMAGES Model. - 3.4 Changes in the Chemical Composition of the Global Troposphere. - 3.5 Concluding Remarks. - References. - 4 Inferring Biogeochemical Sources and Sinks from Atmospheric Concentrations: General Consideration and Applications in Vegetation Canopies / M. Raupach. - 4.1 Introduction. - 4.2 Scalar and Isotopic Molar Balances. - 4.2.1 General Principles. - 4.2.2 Single-Point Eulerian Equations. - 4.2.3 Source Terms for CO2. - 4.2.4 Single-Point Lagrangian Equations. - 4.3 Inverse Methods for Inferring Scalar Sources and Sinks in Canopies. - 4.3.1 General Principles. - 4.3.2 Localized Near Field Theory. - 4.3.3 The Dispersion Matrix. - 4.3.4 Turbulent Velocity Field. - 4.3.5 Solutions for Forward, Inverse and Implicit Problems. - 4.3.6 Field Tests. - 4.4 Inverse Methods and Isotopes in Canopies. - 4.4.1 Path Integrals and Keeling Plots. - 4.4.2 Inverse Lagrangian Analysis of Isotopic Composition. - 4.5 Summary and Conclusions. - Appendix A. - Appendix B. - References. - 5 Biogeophysical Feedbacks and the Dynamics of Climate / M. Claussen. - 5.1 Introduction. - 5.2 Synergisms. - 5.2.1 High Northern Latitudes. - 5.2.2 Subtropics. - 5.3 Multiple Equilibria. - 5.4 Transient Interaction. - 5.5 Perspectives. - References. - 6 Land-Ocean-Atmosphere Interactions and Monsoon Climate Change: A Paleo-Perspective / J. E. Kutzbach, Michael T. Coe, S. P. Harrison and M. T. Coe. - 6.1 Introduction. - 6.2 Response of the Monsoon to Orbital Forcing. - 6.3 Ocean Feedbacks on the Monsoon. - 6.4 Land-Surface Feedbacks on the Monsoon. - 6.5 Synergies between the Land, Ocean and Atmosphere. - 6.6 The Role of Climate Variability. - 6.7 Final Remarks. - References. - 7 Paleobiogeochemistry / I. C. Prentice, D. Raynaud. - 7.1 Introduction. - 7.2 Methane. - 7.3 Carbon Dioxide. - 7.4 Mineral Dust Aerosol. - 7.5 Scientific Challenges Posed by the Ice-Core Records. - 7.5.1 Methane. - 7.5.2 Carbon Dioxide. - 7.5.3 Mineral Dust Aerosol. - 7.6 Towards an Integrated Research Strategy for Palaeobiogeochemistry. - References. - 8 Should Phosphorus Availability Be Constraining Moist Tropical Forest Responses to Increasing CO2 Concentrations / J. Lloyd, M. I. Bird, E. M. Veenendaal and B. Kruijt. - 8.1 Introduction. - 8.2 Phosphorus in the Soils of the Moist Tropics. - 8.2.1 Soil Organic Phosphorus. - 8.2.2 Soil Inorganic Phosphorus. - 8.2.3 Soil Carbon/Phosphorus Interactions. - 8.3 States and Fluxes of Phosphorus in Moist Tropical Forests. - 8.3.1 Inputs and Losses of Phosphorus Through Rainfall, Dry Deposition and Weathering: Losses Via Leaching. - 8.3.2 Internal Phosphorus Flows in Moist Tropical Forests. - 8.3.3 Mechanisms for Enhanced Phosphorus Uptake in Low P Soils. - 8.4 Linking the Phosphorus and Carbon Cycles. - 8.4.1 To What Extent Does Phosphorus Availability Really Limit Moist Tropical Forest Productivity?. - 8.4.2 Tropical Plant Responses to Increases in Atmospheric CO2 Concentrations. - 8.4.3 Using a Simple Model to Examine CO2/Phosphorus Interactions in Tropical Forests. - References. - 9 Trees in Grasslands: Biogeochemical Consequences of Woody Plant Expansion / S. Archer, T. W. Boutton and K. A. Hibbard. - 9.1 Introduction. - 9.2 Woody Plant Encroachment in Grasslands and Savannas. - 9.3 The La Copita Case Study. - 9.3.1 Biogeographical and Historal Context. - 9.3.2 Herbaceous Retrogression and Soil Carbon Losses. - 9.3.3 Woody Plant Encroachment and Ecosystem Biogeochemistry. - 9.4 Degradation: Ecological Versus Socioeconomic. - 9.5 Implications for Ecosystem and Natural Resources Management. - 9.6 Summary. - References. - 10 Biogeochemistry in the Arctic: Patterns, Processes and Controls / S. Jonasson, F.S. Chapin, III and G. R. Shaver. - 10.1 Introduction. - 10.2 Tundra Organic Matter. - 10.2.1 Distribution of Organic Matter. - 10.2.2 Patterns and Controls of Organic Matter Turnover between Ecosystem Types. - 10.3 Tundra Nutrients. - 10.3.1 Nutrient Distribution and Controls of Nutrient Cycling. - 10.3.2 Nutrient Mineralization and Plant Nutrient Uptake. - 10.3.3 Are there Unaccounted Plant Sources of Limiting Nutrients?. - 10.4 Biogeochemical Responses to Experimental Ecosystem Manipulations. - 10.4.1 Applicability of Experimental Manipulations. - 10.4.2 Responses to Water Applications. - 10.4.3 Response to Nutrient Addition and Warming. - 10.4.4 Responses in Ecosystem Carbon Balance. - 10.5 Summary. - References. - 11 Evaporation in the Boreal Zone During Summer - Physics and Vegetation / F. M. Kelliher, I. Lloyd, C. Rebmann, C. Wirth and E. D. Schulze, D. D. Baldocchi. - 11.1 Introduction. - 11.2 Climate and Soil Water. - 11.3 Evaporation Theory. - 11.4 Evaporation During Summer and Rainfall. - 11.5 Forest Evaporation, Tree Life Form and Nitrogen. - 11.6 Conclusions. - References. - 12 Past and Future Forest Response to Rapid Climate Change / M.B. Davis. - 12.1 Introduction. - 12.2 Long-Distance Dispersal. - 12.3 Estimating Jump Distances. - 12.4 Interactions with Resident Vegetation - Constraints on Establishment. - 12.5 Interactions with Resident Vegetation - Competition for Light and Resulting Constraints on Population Growth. - 12.6 Conclusions. - References. - 13 Biogeochemical Models: Implicit vs. Explicit Microbiology / J. Schimel. - 13.1 Introduction. - 13.2 Microbiology in Biogeochemical Models. - 13.3 Dealing with Microbial Diversity in Models. - 13.4 Kinetic Effects of Microbial Population Size. - 13.5 Microbial Recovery from Stress. - 13.6 Conclusions. - References. - 14 The Global Soil Organic Carbon Pool / M. I. Bird, H. Santruckova, J. Lloyd and E. M. Veenendaal. - 14.1 Introduction: the Soil Carbon Pool and Global Change. - 14.2 Factors Affecting the Distribution of Soil Organic Carbon. - 14.3 Global Variations in the SOC Pool. - 14.4 The Limitations of Available Observational SOC Data. - 14.5 A Stratified Sampling Approach. - 14.6 Conclusions: Sandworld and Clayworld. - References. - 15 Plant Compounds and Their Turnover and Stability as Soil Organic Matter / G. Gleixner, C. Czimczik, C. Kramer, B. M. Lühker and M. W. I. Schmidt. - 15.1 Introduction. - 15.2 Pathways of Soil Organic Matter Formation. - 15.2.1 Formation and Decomposition of Biomass. - 15.2.2 The Influence of Environmental Conditions on SOM Formation. - 15.2.3 For

Note: Section 1. Weather rankings -- Section 2. Major storm events -- Section 3. State chapters -- Section 4. Appendices.

Note: Contents List of Acronyms List of Symbols Foreword Preface Prologue Chapter 1 Introduction to Ocean Dynamics 1.1 Types, Advantages, and Limitations of Ocean Models 1.2 Recent Examples 1.3 Governing Equations 1.4 Vorticity Conservation 1.5 Nondimensional Numbers and Scales of Motion 1.6 Geostrophic Flow and Thermal Wind 1.7 Inertial Motions 1.8 Ekman Layers 1.9 Sverdrup Transport 1.10 Western Boundary Intensification (Stommel Solution) 1.11 Gyre Scale Circulation (Munk Solution) 1.12 Barotropic Currents over Topography 1.13 Baroclinic Transport over Topography 1.14 Coastal Upwelling and Fronts 1.15 Mesoscale Eddies and Variability 1.16 Thermohaline Circulation and Box (Reservoir) Models 1.17 Numerical Models Chapter 2 Introduction to Numerical Solutions 2.1 Introduction 2.1.1 Architecture 2.1.2 Computational Errors 2.2 Ordinary Differential Equations 2.2.1 Runge-Kutta Method 2.3 Partial.Differential Equations 2.3.1 Consistency, Convergence, and Stability 2.3.2 Elliptic, Hyperbolic, and Parabolic Systems 2.4 Elliptic Equations and Steady-State Problems 2.4.1 Direct Solvers 2.4.2 Iterative Solvers and Relaxation Methods 2.4.3 Preconditioned Conjugate Gradient Method 2.4.4 Multigrid Methods 2.4.5 Pseudo-transient Method 2.5 Time Dependent Problems 2.5.1 Advection Equation and Hyperbolic Systems 2.5.2 Diffusion Equation and Parabolic Systems 2.6 Finite-Difference (Grid Point) Methods 2.6.1 Staggered Grids 2.6.2 Time Differencing and Filtering 2.6.3 Computational Grids 2.7 Spectral (Spectral Transform) Methods 2.8 Finite-Element Methods 2.8.1 Spectral Element Approach 2.9 Parameterization of Subgrid Scale Processes 2.10 Lateral Open Boundary Conditions 2.11 Computational Issues 2.12 Examples 2.12.1 Inertial Oscillations 2.12.2 Thermohaline Circulation 2.12.3 Normal Modes 2.12.4 Gyre Scale Circulation 2.12.5 Advection Problems 2.12.6 M.I.T. Nonhydrostatic Global Model Chapter 3 Equatorial Dynamics and Reduced Gravity Models Solutions 3.1 Oceanic Dynamical Response to Forcing 3.2 Governing Equations 3.3 Equatorial Waves 3.3.1 Kelvin Waves 3.3.2 Yanai Waves 3.3.3 Rossby Waves 3.3.4 Inertia-Gravity (Poincare) Waves 3.4 Equatorial Currents 3.5 Reduced Gravity Model of Equatorial Processes Chapter 4 Midlatitude Dynamics and Quasi-Geostrophic Models 4.1 Linear Motions 4.1.1 Inertia-Gravity (Sverdrup/Poincare) Waves 4.1.2 Kelvin Waves 298 4.1.3 Planetary Ross by Waves 4.1.4 Topographic Rossby Waves 4.2 Continuous Stratification 4.3 Geostrophic Adjustment and Instabilities 4.3.1 Geostrophic Adjustment 4.3.2 Instabilities 4.4 Spinup 4.5 Quasi-Geostrophic Models 4.5.1 Governing Equations 4.5.2 Applications Chapter 5 High-Latitude Dynamics and Sea-Ice Models 5.1 Salient Features of Ice Cover 5.2 Momentum Equations for Sea Ice 5.3 Constitutive Law for Sea Ice (Ice Rheology) 5.3.1 Viscous-Plastic Ice Rheology 5.3.2 Elastic-Viscous-Plastic Ice Rheology 5.4 Continuity Equations for Sea Ice 5.5 Response of Sea Ice to Storm Passage 5.6 Numerics 5.6.1 Governing Equations in Orthogonal Curvilinear Coordinates 5.6.2 Solution Technique Chapter 6 Tides and Tidal Modeling 6.1 Description of Tides 6.2 Formulation: Tidal Potential 6.3 Body, Load, Atmospheric, and Radiational Tides 6.3.1 Body (Solid Earth) Tides 6.3.2 Load Tides 6.3.3 Atmospheric Tides 6.3.4 Radiational Tides 6.4 Dynamical Theory of Tides: Laplace Tidal Equations 6.5 Equilibrium Theory of Tides 6.6 Tidal Analysis: Orthotides 6.7 Tidal Currents 6.8 Global Tidal Models 6.9 Regional Tidal Models 6.10 Geophysical Implications 6.10.1 Tidal Dissipation and LOD 6.10.2 Tidal Energetics 6.11 Changes in Earth's Rotation 6.12 Baroclinic (Internal) Tides 6.13 Long-Period Tides 6.14 Shallow Water Tides and Residual Currents 6.15 Summary Chapter 7 Coastal Dynamics and Barotropic Models 7.1 Wind- and Buoyancy-Driven Currents 7.2 Tidal Motions 7.3 Continental Shelf Waves 7.4 Modeling Shelf Circulation 7.5 Barotropic Models 7.5.1 Coastal Ocean Response to Wind Forcing 7.5.2 Storm Surges and Storm Surge Modeling 7.5.3 Response to Pressure Forcing Chapter 8 Data and Data Processing 8.1 In Situ Observational Data 8.1.1 XBT, CTD, CM, ADCP, and Drifter Data 8.1.2 Historical Hydrographic Data 8.1.3 Historical Marine Surface Data 8.2 Remotely Sensed Data 8.2.1 Sea Surface Temperature from IR Sensors 8.2.2 Sea Surface Winds from Microwave Sensors 8.2.3 Chlorophyll and Optical Clarity from Color Sensors 8.2.4 Sea Surface Height from Satellite Altimetry 8.3 NWP Products 8.4 Preprocessing of Observational Data and Postprocessing of Model Output 8.4.1 Graphics and Visualization of Model Output 8.4.2 Analyses Chapter 9 Sigma-Coordinate Regional and Coastal Models 9.1 Introduction 9.2 Governing Equations 9.3 Vertical Mixing 9.4 Boundary Conditions 9.5 Mode Splitting 9.6 Numerics 9.6.1 Vertical Direction 9.6.2 Horizontal Direction 9.7 Numerical Problems 9.8 Applications 9.9 Code Structure Chapter 10 Multilevel Basin Scale and Global Models 10.1 Introduction 10.2 Governing Equations 10.3 Isopycnal Diffusion 10.4 Architecture and Other Model Features 10.5 Applications 10.6 Hybrid s-Coordinate Models 10.7 Regional z-Level Models Chapter 11 Layered and Isopycnal Models 11.1 Layered Models 11.2 Isopycnal Models Chapter 12 Ice-Ocean Coupled Models 12.1 Sea-Ice Models 12.2 Coupled Ice-Ocean Models Chapter 13 Ocean-Atmosphere Coupled Models 13.1 Coupling between the Ocean and the Atmosphere 13.2 Coupled Ocean-Atmosphere General Circulation Models 13.3 Regional Coupled Ocean-Atmosphere Models Chapter 14 Data Assimilation and Nowcasts/ Forecasts 14.1 Introduction 14.2 Direct Insertion 14.3 Nudging 14.4 Statistical Assimilation Schemes 14.4.1 Kalman Filter 14.4.2 Reduced State Space Kalman Filters 14.4.3 Optimal Interpolation (OI) Scheme 14.5 Variational Methods 14.5.1 Adjoint Models 14.6 Predictability of Nonlinear Systems-Low Order Paradigms 14.7 Nowcasts/Forecasts in the Gulf of Mexico Appendix A Equations of State A.1 Equation of State for the Ocean A.2 Equation of State for the Atmosphere Appendix B Wavelet Transforms B.1 Introduction B.1.1 Theory B.1.2 Continuous Wavelet Transforms (CWT) B.1.3 Discrete Wavelet Transforms (DWT) B.2 Examples B.3 Wavelet Transforms and Stochastic Processes B.4 Two-Dimensional Wavelet Transforms B.5 Cross Wavelet Transforms (CrWT) B.6 Error Analysis Appendix C Empirical Orthogonal Functions and Empirical Normal Modes C.1 Empirical Orthogonal Functions C.1.1 Complex EOFs C.1.2 Singular Spectrum Analysis C.1.3 Extended EOFs C.1.4 Coupled Pattern Analysis C.2 Empirical Normal Modes Appendix D Units and Constants D.1 Useful Quantities D.1.1 SI (International System of Units) Units and Conventions D.1.2 Useful Conversion Factors D.1.3 Useful Universal Constants D.1.4 Useful Geodetic Constants D.1.5 Useful Physical Constants D.1.6 Useful Dynamical Quantities D.2 Important Scales and Quantities D.2.1 Length Scales D.2.2 Timescales D.2.3 Velocity Scales D.2.4 Nondimensional Quantities D.3 Useful Websites References Biographies Index

Note: Contents Introduction 1 Climatic System: Data, Processes, Scales, and Deterministic Models 1.1 Main Components of the Climate System 1.1.1 "Thick" Subsystems 1.1.2 "Thin" Subsystems 1.1.3 Local and Discrete Objects 1.2 Climate Processes 1.2.1 Overview of Climate Processes 1.2.2 External Climate Mechanisms 1.2.3 Internal Mechanisms of Climatie Variations 1.2.4 Transfer-Accumulation Processes 1.3 Scales of Climatic Variability 1.3.1 Spatial Scales 1.3.2 Temporal Scales 1.4 Deterministic Climate Models 1.4.1 General Circulation Models and Coupled Models 1.4.2 Other Types of Climate Models 1.5 Observational Basis for Stochastic Climate Theory 1.5.1 Data on Variability of "Thick" Climatic Subsystems 1.5.1.1 Near-Surface Air Temperature 1.5.1.2 Other Atmospheric Variables 1.5.1.3 Sea Surface Temperature 1.5.1.4 Sea Level 1.5.1.5 lce Sheets 1.5.2 Data on Variables of Thin Earth Covers 1.5.2.1 Snow Cover 1.5.2.2 Sea lce 1.5.2.3 Vegetation Cover 1.5.3 Data on Discrete and Local Climatic Objects 1.5.3.1 River Runoff 1.5.3.2 Lakes 1.5.3.3 Mountain Glaciers 1.5.4 Conclusions on Observational Data 2 Theoretical Foundations of the Stochastic Approach to Climate Variability Studies 2.1 Basic Ideas and Principles of the Stochastic Climate Theory 2.1.1 Mathematical Models and Natural Processes 2.1.2 A Climatic Variable as a Random Variable 2.1.3 Evolution of a Climatic Variable as a Random Function 2.1.4 Stationarity of Climatic Processes 2.2 Introduction to the Theory of Random Functions with Emphasis on Climate Variability 2.2.1 Moments, Mean Value, Correlation Function 2.2.2 The Ergodicity of Climate Variability 2.2.3 Examples of Stationary Random Sequences 2.2.3.1 Uncorrelated Random Variables 2.2.3.2 Moving Averages 2.2.4 Spectral Representation of the Random Process 2.2.5 Climatic Meanings of the Spectral Distribution Function 2.2.6 Spectral Representation of Stationary Sequences 2.2.7 The Markov Sequence 2.2.8 The Discrete Wiener Process 2.2.9 Other Types of Random Functions 2.2.9.1 Autoregressive Models 2.2.9.2 Seasonal Models 2.2.9.3 Threshold Models 2.3 Estimation of Model Parameters 2.3.1 Theoretical Models and the Practice of Model Identification 2.3.2 Informational Approach to the Identification of Stochastic Models 2.3.3 Maximum Entropy Method and Autoregressive Models 2.3.4 Model Identification and Estimation of Model Parameters 2.3.5 An Example ofModel Identification and Parameter Estimation 2.3.6 Frequency Truncation Method of Normalized Spectral Estimates 2.3.7 Other Methods of Time Series Processing 2.3.7.1 Conventional Methods. Moving Average and ARMA models 2.3.7.2 "Deterministic Chaos". Other Methods of Nonlinear Analysis 2.4 Physical Basis of the Stochastic Climate Theory 2.4.1 Atmospheric Forcing ofthe Climate System 2.4.1.1 Observational Evidence 2.4.1.2 Atmospheric Model Results 2.4.1.3 Simple Nonlinear Model as Analog of Atmospheric Forcing 2.4.2 Hasselmann's Stochastic Climate Models 2.4.2.1 Hypothesis on Weather-Climate Two-Scale Separation 2.4.2.2 Classification of Climate Models 2.4.2.3 Analogies with Turbulent Fluid, Brownian Motion, and Other Physical Processes. The Central Limit Theorem 2.4.2.4 Spectra and Correlation Functions of the Stochastic Climate Models. Models Without Feedback 2.4.2.5 Models with Feedback 3 Stochastic Models of Recent Climatic Changes 3.1 Changes in Thick Climatic Subsystems 3.1.1 Local Changes 3.1.1.1 Analysis of Observational Data 3.1.1.2 Local Stochastic Dynamical Models 3.1.2 Regional, Spatially Averaged, and Two-Dimensional Patterns 3.1.2.1 20 Stochastic Patterns of Observational Data 3.1.2.2 Stochastic Dynamical Regional Models 3.1.2.3 Stochastic Models of ENSO Events 3.1.3 Globally Averaged Climate Variables 3.1.3.1 Global Water Mass Exchange. Global Mean Sea Level 3.1.3.2 Global Temperatures 3.1.3.3 "Minus Two" Law of Climatic Variability 3.1.3.4 Stochastic Dynamical Models of Global Temperatures 3.1.3.5 Local-Global Polarization Phenomenon 3.2 Variabilities of Thin Climatic Subsystems 3.2.1 Analyzed Oata 3.2.1.1 37 GHz Polarization Oifference and Related Data 3.2.1.2 Snow and Sea lce Remotely Sensed Data 3.2.1.3 Related Satellite-Based and Conventional Data on Global Air and Sea Temperatures 3.2.2 Comparison of Results for Remotely Sensed and Conventional Data 3.2.2.1 Comparison of Results on Local Scales 3.2.2.2 Globally Averaged 37 GHz Polarization Difference Data. Concentration of Carbon Dioxide in the Atmosphere 3.2.3 Results of Stochastic Analysis of Local and Regional Hydrological Changes 3.2.3.1 Results of 37 GHz PD Data Analysis for Floodable Areas 3.2.3.2 Results for 37 GHz PD Data on Vegetation Cover in Different Natural Zones 3.2.4 Results of Analysis of Global Changes in Hydrological and Related Parameters 3.2.5 Modeling the Dynamics of Thin Subsystems 3.2.6 Local-Global Polarization Phenomenon and Thin Climatic Subsystems 3.2.7 Discussion on the Global Climatic Subsystems 3.3 Changes in Local and Discrete Climatic Objects 3.3.1 Rivers and River Runoff 3.3.2 Mountain Glaciers 4 Stochastic Models for Glacial Cycles 4.1 Stochastic Analysis of Reconstructed Data on Glacial Cycles 4.1.1 Existing Paleoreconstructed Time Series 4.1.2 Results of Stochastic Analysis of the Last Deglaciation Period, 0 - 18 ka B.P. 4.1.3 Analysis of 200 - 300 ka Time Series 4.1.4 Longer Time Series. Features of Cyclicity 4.1.5 High Resolution Paleorecords 4.2 Zero-Dimensional Model of Glacial Cycles 4.2.1 Hypotheses, Assumptions, and Equations 4.2.2 Results of Numerical Experiments 4.3 Two-Dimensional Stochastic Dynamical Model of Glacial Cycles 4.3.1 Mathematical Model, Parameters, and Experiments 4.3.1.1 Computational Area 4.3.1.2 Equations and Parameters of the Model 4.3.1.3 Numerical Experiments 4.3.2 Results 4.3.2.1 Experiments Without External Forcing 4.3.2.2 Experiments With External Forcing. Globally Averaged Results 4.3.2.3 Zonally Averaged Results 4.3.2.4 Regional Results Conclusion References Index

Note: Contents Preface Symbols Chapter 1 Introduction 1.1 Scope of Micrometeorology 1.2 Micrometeorology versus Microclimatology 1.3 Importance and Applications of Micrometeorology Problems and Exercises Chapter 2 Energy Budget near the Surface 2.1 Energy Fluxes at an Ideal Surface 2.2 Energy Balance Equations 2.3 Some Examples of Energy Budget 2.4 Applications Problems and Exercises Chapter 3 Radiation Balance near the Surface 3.1 Radiation Laws and Definitions 3.2 Shortwave Radiation 3.3 Longwave Radiation 3.4 Radiation Balance near the Surface 3.5 Radiative Flux Divergence 3.6 Applications Problems and Exercises Chapter 4 Soil Temperatures and Heat Transfer 4.1 Surface Temperature 4.2 Subsurface Temperatures 4.3 Thermal Properties of Soils 4.4 Theory of Soil Heat Transfer 4.5 Applications Problems and Exercises Chapter 5 Air Temperature and Humidity in the PBL 5.1 Factors Influencing Air Temperature and Humidity 5.2 Basic Thermodynamic Relations and Definitions 5.3 Static Stability 5.4 Mixed Layers and Inversions 5.5 Vertical Temperature and Humidity Profiles 5.6 Diurnal Variations 5.7 Applications Problems and Exercises Chapter 6 Wind Distribution in the PBL 6.1 Factors Influencing Wind Distribution 6.2 Geostrophic and Thermal Winds 6.3 The Effects of Friction 6.4 The Effects of Stability 6.5 Observed Wind Profiles 6.6 Diurnal Variations 6.7 Applications Problems and Exercises Chapter 7 An Introduction to Viscous Flows 7.1 Inviscid and Viscous Flows 7.2 Laminar and Turbulent Flows 7.3 Equations of Motion 7.4 Plane-Parallel Flows 7.5 Ekman Layers 7.6 Developing Boundary Layers 7.7 Heat Transfer in Fluids 7.8 Applications Problems and Exercises Chapter 8 Fundamentals of Turbulence 8.1 Instability of Flow and Transition to Turbulence 8.2 The Generation and Maintenance of Turbulence 8.3 General Characteristics of Turbulence 8.4 Mean and Fluctuating Variables 8.5 Variances and Turbulent Fluxes 8.6 Eddies and Scales of Motion 8.7 Applications Problems and Exercises Chapter 9 Semiempirical Theories of Turbulence 9.1 Mathematical Description of Turbulent Flows 9.2 Gradient-Transport Theories 9.3 Dimensional Analysis and Similarity Theories 9.4 Applications Problems and Exercises Chapter 10 Neutral Boundary Layers 10.1 Velocity-Profile Laws 10.2 Surface Roughness Parameters 10.3 Surface Stress and Drag Coefficient 10.4 Turbulence 10.5 Applications Problems and Exercises Chapter 11 Momentum and Heat Exchanges with Homogeneous Surfaces 11.1 The Monin-Obukhov Similarity Theory 11.2 Empirical Forms of Similarity Functions 11.3 Wind and Temperature Profiles 11.4 Drag and Heat Transfer Coefficients 11.5 Methods of Determining Momentum and Heat Fluxes 11.6 Applications Problems and Exercises Chapter 12 Evaporation from Homogeneous Surfaces 12.1 The Process of Evaporation 12.2 Potential Evaporation and Evapotranspiration 12.3 Modified Monin-Obukhov Similarity Relations 12.4 Micrometeorological Methods of Determining Evaporation 12.5 Applications Problems and Exercises Chapter 13 Marine Atmospheric Boundary Layer 13.1 Sea-Surface Characteristics 13.2 Momentum Transfer to the Sea Surface 13.3 Parameterization of Air-Sea Exchanges 13.4 Mean Profiles in the Marine Atmospheric Boundary Layer 13.5 Turbulence over Water 13.6 Applications Problems and Exercises Chapter 14 Nonhomogeneous Boundary Layers 14.1 Types of Surface Inhomogeneities 14.2 Step Changes in Surface Roughness 14.3 Step Changes in Surface Temperature 14.4 Air Modifications over Water Surfaces 14.5 Air Modifications over Urban Areas 14.6 Building Wakes and Street Canyon Effects 14.7 Other Topographical Effects 14.8 Applications Problems and Exercises Chapter 15 Agricultural and Forest Micrometeorology 15.1 Flux-Profile Relations above Plant Canopies 15.2 Radiation Balance within Plant Canopies 15.3 Wind Distribution in Plant Canopies 15.4 Temperature and Moisture Fields 15.5 Turbulence in Plant Canopies 15.6 Applications Problems and Exercises References Index

Note: CONTENTS Preface Preface to the Second Edition Introduction 1 Onset of Turbulence Part One - Classical Concepts in Turbulence Modeling Chapter I. Turbulent Flow 1. Equations of Fluid Dynamics and Their Consequences 1.1 Reynolds' Averaging Technique 1.2 Equations of Fluid Dynamics 1.3 Equation of Kinetic Energy 1.4 Equation of Heat Conduction 2. Reynolds' Stresses 2.1 Physical and Geometrical Interpretation of Reynolds' Stresses 2.2 Eddies and Eddy Viscosity 2.3 Poiseuille and Couette Flow 3. Length Theory 3.1 Prandtl's Mixing Length Theory 3.2 Mixing Length in Taylor's Sense 3.3 Betz's Interpretation of von Karman's Similarity Hypothesis 4. Universal Velocity Distribution Law 4.1 Prandtl's Approach 4.2 von Karman's Approach 4.3 Turbulent Pipe Flow with Porous Wall 5. The Turbulent Boundary Layer 5.1 Turbulent Flow Over a Solid Surface 5.2 Law of the Wall in Turbulent Channel Flow 5.3 Velocity Distribution in Transient Region of a Moving Viscous Turbulent Flow 5.4 A New Approach to the Turbulent Boundary Layer Theory Using Lumley's Extremum Principle Part Two - Statistical Theories in Turbulence Chapter II. Fundamental Concepts 6. Stochastic Processes 6.1 General Remarks 6.2 Fundamental Concepts in Probability 6.3 Random Variables and Stochastic Processes 6.4 Weakly Stationary Processes 6.5 A Simple Formulation of the Covariance and Variance for Incompressible Flow 6.6 The Correlation and Spectral Tensors in Turbulence 6.7 Theory of Invariants 6.8 The Correlation of Derivatives of the Velocity Components 7. Propagation of Correlations in Isotropic Incompressible Turbulent Flow 7.1 Equations of Motion 7.2 Vorticity Correlation and Vorticity Spectrum 7.3 Energy Spectrum Function 7.4 Three-Dimensional Spectrum Function Chapter III. Basic Theories 8. Kolmogoroff's Theories of Locally Isotropic Turbulence 8.1 Local Homogeneity and Local Isotropy 8.2 The First and the Second Moments of Quantities w-j(x-j) 8.3 Hypotheses of Similarity 8.4 Propagation of Correlations in Locally Isotropic Flow 8.5 Remarks Concerning Kolmogoroff1s Theory 9. Heisenberg's Theory of Turbulence 9.1 The Dynamical Equation for the Energy Spectrum 9.2 Heisenberg's Mechanism of Energy Transfer 9.3 von Weiszacker's Form of the Spectrum 9.4 Objections to Heisenberg's Theory 10. Kraichnan's Theory of Turbulence 10.1 Burgers' Equation in Frequency Space 10.2 The Impulse Response Function 10.3 The Direct Interaction Approximation 10.4 Third Order Moments 10.5 Determination of Green's Function 10.6 Summary of Results of Burgers' Equation in Kraichnan's Sense 11. Application of Kraichnan's Method to Turbulent Flow 11.1 Derivation of Navier-Stokes Equation in Fourier Space 11.2 Impulse Response, Function for Full Turbulent Representation 11.3 Formal Statement by Direct-Interaction Procedure 11.4 Application of the Direct-Interaction Approximation 11.5 Averaged Green's Function for the Navier-Stokes Equations 12. Hopf's Theory of Turbulence 12.1 Formulation of the Problem in Phase Space and the Characteristic Functional 12.2 The Functional Differential Equation for Phase Motion 12.3 Derivation of the ϕ-Equation 12.4 Elimination of Pressure Functional π from the ϕ-Equation 12.5 Forms of the Correlation for n=l and n=2 Chapter IV. Magnetohydrodynamic Turbulence 13. Magnetohydrodynamic Turbulence by Means of a Characteristic Functional 13.1 Formulation of the Problem in Phase Space 13.2 ϕ-Equations in Magnetohydrodynamic Turbulence 13.3 Correlation Equations 14. Wave-Number Space 14.1 Transformation to Wave-Number Space 14.2 The Spectrum Equations and Additional Conservation Laws 14.3 Special Case of Isotropic Magnetohydrodynamic Turbulence 15. Stationary Solution for ϕ-Equations 15.1 Stationary Solution for the Case λ=ν=0 15.2 Solution to the ϕ-Equations for Final Stages of Decay 16. Energy Spectrin 16.1 Energy Spectrum in the Equilibrium Range 16.2 Extension of Heisenberg's Theory in Magnetohydrodynamic Turbulence 17. Temperature Dispersion in Magnetohydrodynamic Turbulence 17.1 Turbulent Dispersion 17.2 Formulation of the Problem 17.3 Universal Equilibrium 18. Temperature Spectrum for Small and Large Joule Heat Eddies 18.1 Small Joule Heat Eddies 18.2 Large Joule Heat Eddies 19. The Temperature Spectrum for the Joule Heat Eddies of Various Sizes 19.1 The Viscous Dissipation Process 19.2 The Joule Heat Model 19.3 The Calculation of the Temperature Spectrum 19.4 Effect of Viscous Dissipation on the Temperature Distribution 20. Thomas' Numerical Experiments 20.1 Turbulent Dynamo Competing Processes 20.2 Nondissipative Model System λ=ν=0 20.3 Numerical Experiments 21. Some Further Improvements of Dispersion Theory in Magnetohydrodynamic Turbulence 21.1 Remarks on the Turbulent Dispersion of Temperature for Rm〉〉R〉〉l 21.2 Heat Equation for Conductive Cut-Off Wave Number for H(k) 21.3 Solution of the Heat Equation 22. A Solution for the Joule-Heat Source Term 22.1 Physical Introduciton 22.2 Form of the Source Function and Particular Solution 22.3 The Joule Heating Spectrum 22.4 The Range of Values α1, α2, α3, σ and Asymptotic Solution of τ-integral 22.5 Evolution of τ-Integral Eq. (22.29) 23. Results for the θ2 Spectrum with Joule Heating 23.1 The Asymptotic Behavior of the Solutions 23.2 The Most Probable Form of the θ2-Spectrum Chapter V. Contemporary Turbulence 24. Recent Developments in Turbulence Through Use of Experimental Mathematics - Attractor Theory 24.1 Things That Change Suddenly 24.2 Order in the Chaos 24.3 Attractor Theory in Turbulent Channel Flows 25. Recent Developments in Experimental Turbulence 25.1 Coherent Structure of Turbulent Shear Flows Appendices Appendix A -- Derivation of Correlation Equations (13.51-13.62) Appendix B -- Derivation of Spectrum Equations (14.45-14.46) Appendix C -- Fourier Transforms (18.10) Appendix D -- The Time Variation of Eq. (18.3) Appendix E -- The Time Variation of Eq. (18.19) Bibliography Author Index Subject Index

Note: Investigation of possibilities and requirements of synthetic aperture radar for snow and glacier applications in comparison and in combination with other sensors. Presents results on dielectric properties and on backscattering and emission signatures of snow and ice. Snow and glacier monitoring capabilities of satellite sensors in optical and microwave regions are compared for key applications. Includes appendix by B. Reber on snow structure and texture.

Note: Dissertation, Delft, Technische Universität Delft, 1988 , Mit niederländischer Zusammenfassung

Note: In tschechischer Sprache