ALBERT

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: 1. Introduction. 2. RC Filter. 3. General linear time invariant systems. 4. The seismometer. 5. The sampling process. 6. Analog-to-digital conversion. 7. From infinitely continuous to finite discrete. 8. The digital anti-alias filter. 9. Inverse and simulation filtering of digital seismograms. 10. The measurement of wavelet parameters from digital seismograms. References. Appendix: Solution to problems.

Note: Contents 1. Introduction 1.1 Historical Background 1.2 Some Examples of Spectral Methods 1.2.1 A Fourier Galerkin Method for the Wave Equation 1.2.2 A Chebyshev Collocation Method for the Heat Equation 1.2.3 A Legendre Galerkin with Numerical Integration (G-NI) Method for the Advection-Diffusion-Reaction Equation 1.2.4 A Legendre Tau Method for the Poisson Equation 1.2.5 Basic Aspects of Galerkin, Collocation, G-NI and Tau Methods 1.3 Three-Dimensional Applications in Fluids: A Look Ahead 2. Polynomial Approximation 2.1 The Fourier System 2.1.1 The Continuous Fourier Expansion 2.1.2 The Discrete Fourier Expansion 2.1.3 Differentiation 2.1.4 The Gibbs Phenomenon 2.2 Orthogonal Polynomials in (−1, 1) 2.2.1 Sturm-Liouville Problems 2.2.2 Orthogonal Systems of Polynomials 2.2.3 Gauss-Type Quadratures and Discrete Polynomial Transforms 2.3 Legendre Polynomials 2.3.1 Basic Formulas 2.3.2 Differentiation 2.3.3 Orthogonality, Diagonalization and Localization 2.4 Chebyshev Polynomials 2.4.1 Basic Formulas 2.4.2 Differentiation 2.5 Jacobi Polynomials 2.6 Approximation in Unbounded Domains 2.6.1 Laguerre Polynomials and Laguerre Functions 2.6.2 Hermite Polynomials and Hermite Functions 2.7 Mappings for Unbounded Domains 2.7.1 Semi-Infinite Intervals 2.7.2 The Real Line 2.8 Tensor-Product Expansions 2.8.1 Multidimensional Mapping 2.9 Expansions on Triangles and Related Domains 2.9.1 Collapsed Coordinates and Warped Tensor-Product Expansions 2.9.2 Non-Tensor-Product Expansions 2.9.3 Mappings 3. Basic Approaches to Constructing Spectral Methods 3.1 Burgers Equation 3.2 Strong and Weak Formulations of Differential Equations 3.3 Spectral Approximation of the Burgers Equation 3.3.1 Fourier Galerkin 3.3.2 Fourier Collocation 3.3.3 Chebyshev Tau 3.3.4 Chebyshev Collocation 3.3.5 Legendre G-NI 3.4 Convolution Sums 3.4.1 Transform Methods and Pseudospectral Methods 3.4.2 Aliasing Removal by Padding or Truncation 3.4.3 Aliasing Removal by Phase Shifts 3.4.4 Aliasing Removal for Orthogonal Polynomials 3.5 Relation Between Collocation, G-NI and Pseudospectral Methods 3.6 Conservation Forms 3.7 Scalar Hyperbolic Problems 3.7.1 Enforcement of Boundary Conditions 3.7.2 Numerical Examples 3.8 Matrix Construction for Galerkin and G-NI Methods 3.8.1 Matrix Elements 3.8.2 An Example of Algebraic Equivalence between G-NI and Collocation Methods 3.9 Polar Coordinates 3.10 Aliasing Effects 4. Algebraic Systems and Solution Techniques 4.1 Ad-hoc Direct Methods 4.1.1 Fourier Approximations 4.1.2 Chebyshev Tau Approximations 4.1.3 Galerkin Approximations 4.1.4 Schur Decomposition and Matrix Diagonalization 4.2 Direct Methods 4.2.1 Tensor Products of Matrices 4.2.2 Multidimensional Stiffness and Mass Matrices 4.2.3 Gaussian Elimination Techniques 4.3 Eigen-Analysis of Spectral Derivative Matrices 4.3.1 Second-Derivative Matrices 4.3.2 First-Derivative Matrices 4.3.3 Advection-Diffusion Matrices 4.4 Preconditioning 4.4.1 Fundamentals of Iterative Methods for Spectral Discretizations 4.4.2 Low-Order Preconditioning of Model Spectral Operators in One Dimension 4.4.3 Low-Order Preconditioning in Several Dimensions 4.4.4 Spectral Preconditioning 4.5 Descent and Krylov Iterative Methods for Spectral Equations 4.5.1 Multidimensional Matrix-Vector Multiplication 4.5.2 Iterative Methods 4.6 Spectral Multigrid Methods 4.6.1 One-Dimensional Fourier Multigrid Model Problem 4.6.2 General Spectral Multigrid Methods 4.7 Numerical Examples of Direct and Iterative Methods 4.7.1 Fourier Collocation Discretizations 4.7.2 Chebyshev Collocation Discretizations 4.7.3 Legendre G-NI Discretizations 4.7.4 Preconditioners for Legendre G-NI Matrices 4.8 Interlude 5. Polynomial Approximation Theory 5.1 Fourier Approximation 5.1.1 Inverse Inequalities for Trigonometric Polynomials 5.1.2 Estimates for the Truncation and Best Approximation Errors 5.1.3 Estimates for the Interpolation Error 5.2 Sturm-Liouville Expansions 5.2.1 Regular Sturm-Liouville Problems 5.2.2 Singular Sturm-Liouville Problems 5.3 Discrete Norms 5.4 Legendre Approximations 5.4.1 Inverse Inequalities for Algebraic Polynomials 5.4.2 Estimates for the Truncation and Best Approximation Errors 5.4.3 Estimates for the Interpolation Error 5.4.4 Scaled Estimates 5.5 Chebyshev Approximations 5.5.1 Inverse Inequalities for Polynomials 5.5.2 Estimates for the Truncation and Best Approximation Errors 5.5.3 Estimates for the Interpolation Error 5.6 Proofs of Some Approximation Results 5.7 Other Polynomial Approximations 5.7.1 Jacobi Polynomials 5.7.2 Laguerre and Hermite Polynomials 5.8 Approximation in Cartesian-Product Domains 5.8.1 Fourier Approximations 5.8.2 Legendre Approximations 5.8.3 Mapped Operators and Scaled Estimates 5.8.4 Chebyshev and Other Jacobi Approximations 5.8.5 Blended Trigonometric and Algebraic Approximations 5.9 Approximation in Triangles and Related Domains 6. Theory of Stability and Convergence 6.1 Three Elementary Examples Revisited 6.1.1 A Fourier Galerkin Method for the Wave Equation 6.1.2 A Chebyshev Collocation Method for the Heat Equation 6.1.3 A Legendre Tau Method for the Poisson Equation 6.2 Towards a General Theory 6.3 General Formulation of Spectral Approximations to Linear Steady Problems 6.4 Galerkin, Collocation, G-NI and Tau Methods 6.4.1 Galerkin Methods 6.4.2 Collocation Methods 6.4.3 G-NI Methods 6.4.4 Tau Methods 6.5 General Formulation of Spectral Approximations to Linear Evolution Problems 6.5.1 Conditions for Stability and Convergence: The Parabolic Case 6.5.2 Conditions for Stability and Convergence: The Hyperbolic Case 6.6 The Error Equation 7. Analysis of Model Boundary-Value Problems 7.1 The Poisson Equation 7.1.1 Legendre Methods 7.1.2 Chebyshev Methods 7.1.3 Other Boundary-Value Problems 7.2 Singularly Perturbed Elliptic Equations 7.2.1 Stabilization of Spectral Methods 7.3 The Eigenvalues of Some Spectral Operators 7.3.1 The Discrete Eigenvalues for Lu = −uxx 7.3.2 The Discrete Eigenvalues for Lu = −νuxx + βux 7.3.3 The Discrete Eigenvalues for Lu = ux 7.4 The Preconditioning of Spectral Operators 7.5 The Heat Equation 7.6 Linear Hyperbolic Equations 7.6.1 Periodic Boundary Conditions 7.6.2 Nonperiodic Boundary Conditions 7.6.3 The Resolution of the Gibbs Phenomenon 7.6.4 Spectral Accuracy for Non-Smooth Solutions 7.7 Scalar Conservation Laws 7.8 The Steady Burgers Equation Appendix A. Basic Mathematical Concepts A.1 Hilbert and Banach Spaces A.2 The Cauchy-Schwarz Inequality A.3 Linear Operators Between Banach Spaces A.4 The Fr´echet Derivative of an Operator A.5 The Lax-Milgram Theorem A.6 Dense Subspace of a Normed Space A.7 The Spaces Cm(Ω), m ≥ 0 A.8 Functions of Bounded Variation and the Riemann(-Stieltjes) Integral A.9 The Lebesgue Integral and Lp-Spaces A.10 Infinitely Differentiable Functions and Distributions A.11 Sobolev Spaces and Sobolev Norms A.12 The Sobolev Inequality A.13 The Poincar´e Inequality A.14 The Hardy Inequality A.15 The Gronwall Lemma Appendix B. Fast Fourier Transforms Appendix C. Iterative Methods for Linear Systems C.1 A Gentle Approach to Iterative Methods C.2 Descent Methods for Symmetric Problems C.3 Krylov Methods for Nonsymmetric Problems Appendix D. Time Discretizations D.1 Notation and Stability Definitions D.2 Standard ODE Methods D.2.1 Leap Frog Method D.2.2 Adams-Bashforth Methods D.2.3 Adams-Moulton Methods D.2.4 Backwards-Difference Formulas D.2.5 Runge-Kutta Methods D.3 Integrating Factors D.4 Low-Storage Schemes References Index

Note: Zugl.: Bremen, Univ., Diss., 2005

Note: Zugl.: München,Univ. der Bundeswehr, Diss., 2005

Note: Contents Preface Acknowledgements Introduction Chapter One: Causes of sea-level change 1.1 Introduction 1.2 Changes in the quantity of oceanic water 1.3 Deformation of the shape of the oceanic basin 1.4 Variations of water density and dynamic changes affecting the water masses Chapter Two: Evidence of former sea levels 2.1 Rocky shores 2.2 Sedimentary shores 2.3 Archaeological and historical sea-level indicators 2.4 Dating a sea-level indicator 2.5 How sea-level curves are constructed Chapter Three: The ice age Earth 3.1 How the last glaciation developed 3.2 The sea-level positions during the last Ice age 3.3 Low-sea-level land bridges and landscapes 3.4 Last glaciation climate and hydrology 3.5 Last glaciation biomass and CO2 exchanges Chapter Four: Deglacial sea-level changes 4.1 Introduction 4.2 Modelling results 4.3 Regional case studies 4.4 A gradually rising or a fluctuating sea level? 4.5 The Younger Dryas sea-level change 4.6 Impacts of past sea-level rise on coastal systems 4.7 Palaeomonsoons Chapter Five: Relative sea-level changes in the late Holocene 5.1 Delta and coral reef development 5.2 Continuance of isostatic emergence / submergence processes 5.3 Seismo-tectonic displacements 5.4 Relative sea-level changes produced by aseismic tectonics 5.5 Transgression-regression sequences and sea-level changes 6 Present-day sea-level trends 6.1 Introduction 6.2 Instrumental measurements . 6.3 Explanation of current estimations of global sea-level rise 6.4 Coastal areas at risk from sea-level rise Conclusions References Author Index Geographical Index Subject Index

Note: Jean-Pierre Burg and Mary Ford: Orogeny through time: an overview / Geological Society, London, Special Publications, 121:1-17, doi:10.1144/GSL.SP.1997.121.01.01 --- Giorgio Ranalli: Rheology of the lithosphere in space and time / Geological Society, London, Special Publications, 121:19-37, doi:10.1144/GSL.SP.1997.121.01.02 --- P. G. Thomas, P. Allemand, and N. Mangold: Rheology of planetary lithospheres: a review from impact cratering mechanics / Geological Society, London, Special Publications, 121:39-62, doi:10.1144/GSL.SP.1997.121.01.03 --- P. Choukroune, J. N. Ludden, D. Chardon, A. J. Calvert, and H. Bouhallier: Archaean crustal growth and tectonic processes: a comparison of the Superior Province, Canada and the Dharwar Craton, India / Geological Society, London, Special Publications, 121:63-98, doi:10.1144/GSL.SP.1997.121.01.04 --- M. G. O’Dea, G. S. Lister, T. Maccready, P. G. Betts, N. H. S. Oliver, K. S. Pound, W. Huang, R. K. Valenta, N. H. S. Oliver, and R. K. Valenta: Geodynamic evolution of the Proterozoic Mount Isa terrain / Geological Society, London, Special Publications, 121:99-122, doi:10.1144/GSL.SP.1997.121.01.05 --- A. G. Milnes, O. P. Wennberg, Ø. Skår, and A. G. Koestler: Contraction, extension and timing in the South Norwegian Caledonides: the Sognefjord transect / Geological Society, London, Special Publications, 121:123-148, doi:10.1144/GSL.SP.1997.121.01.06 --- David R. Gray: Tectonics of the southeastern Australian Lachlan Fold Belt: structural and thermal aspects / Geological Society, London, Special Publications, 121:149-177, doi:10.1144/GSL.SP.1997.121.01.07 --- P. Rey, J.-P. Burg, and M. Casey: The Scandinavian Caledonides and their relationship to the Variscan belt / Geological Society, London, Special Publications, 121:179-200, doi:10.1144/GSL.SP.1997.121.01.08 --- V. N. Puchkov: Structure and geodynamics of the Uralian orogen / Geological Society, London, Special Publications, 121:201-236, doi:10.1144/GSL.SP.1997.121.01.09 --- Simon Lamb, Leonore Hoke, Lorcan Kennan, and John Dewey: Cenozoic evolution of the Central Andes in Bolivia and northern Chile / Geological Society, London, Special Publications, 121:237-264, doi:10.1144/GSL.SP.1997.121.01.10

Note: D. B. Snyder, S. B. Lucas, and J. H. McBride: Crustal and mantle reflectors from Palaeoproterozoic orogens and their relation to arc-continent collisions / Geological Society, London, Special Publications, 112:1-23, doi:10.1144/GSL.SP.1996.112.01.01 --- H. R. Rollinson: Tonalite-trondhjemite-granodiorite magmatism and the genesis of Lewisian crust during the Archaean / Geological Society, London, Special Publications, 112:25-42, doi:10.1144/GSL.SP.1996.112.01.02 --- A. Vrevsky, R. Krimsky, and S. Svetov: Rare earth and isotopic (Nd, O) heterogeneity of the Archaean mantle, Baltic Shield / Geological Society, London, Special Publications, 112:43-53, doi:10.1144/GSL.SP.1996.112.01.03 --- E. V. Bibikova, T. Skiöld, and S. V. Bogdanova: Age and geodynamic aspects of the oldest rocks in the Precambrian Belomorian Belt of the Baltic (Fennoscandian) Shield / Geological Society, London, Special Publications, 112:55-67, doi:10.1144/GSL.SP.1996.112.01.04 --- S. V. Bogdanova: High-grade metamorphism of 2.45–2.4 Ga age in mafic intrusions of the Belomorian Belt in the northeastern Baltic Shield / Geological Society, London, Special Publications, 112:69-90, doi:10.1144/GSL.SP.1996.112.01.05 --- Martin J. Van Kranendonk and Richard J. Wardle: Burwell domain of the Palaeoproterozoic Torngat Orogen, northeastern Canada: tilted cross-section of a magmatic are caught between a rock and a hard place / Geological Society, London, Special Publications, 112:91-115, doi:10.1144/GSL.SP.1996.112.01.06 --- Toby Rivers, Flemming Mengel, David J. Scott, Lisa M. Campbell, and Normand Goulet: Torngat Orogen — a Palaeoproterozoic example of a narrow doubly vergent collisional orogen / Geological Society, London, Special Publications, 112:117-136, doi:10.1144/GSL.SP.1996.112.01.07 --- R. J. Wardle and M. J. Van Kranendonk: The Palaeoproterozoic Southeastern Churchill Province of Labrador-Quebec, Canada: orogenic development as a consequence of oblique collision and indentation / Geological Society, London, Special Publications, 112:137-153, doi:10.1144/GSL.SP.1996.112.01.08 --- Andrew Kerr, Bruce Ryan, Charles F. Gower, Richard J. Wardle, and Andrew Kerr: The Makkovik Province: extension of the Ketilidian Mobile Belt in mainland North America / Geological Society, London, Special Publications, 112:155-177, doi:10.1144/GSL.SP.1996.112.01.09 --- B. Chadwick and A. A. Garde: Palaeoproterozoic oblique plate convergence in South Greenland: a reappraisal of the Ketilidian Orogen / Geological Society, London, Special Publications, 112:179-196, doi:10.1144/GSL.SP.1996.112.01.10 --- Charles F. Gower: The evolution of the Grenville Province in eastern Labrador, Canada / Geological Society, London, Special Publications, 112:197-218, doi:10.1144/GSL.SP.1996.112.01.11 --- Ian C. Starmer: Accretion, rifting, rotation and collision in the North Atlantic supercontinent, 1700-950 Ma / Geological Society, London, Special Publications, 112:219-248, doi:10.1144/GSL.SP.1996.112.01.12 --- A. Wikström, T. Skiöld, and B. Öhlander: The relationship between 1.88 Ga old magmatism and the Baltic-Bothnian shear zone in northern Sweden / Geological Society, London, Special Publications, 112:249-259, doi:10.1144/GSL.SP.1996.112.01.13 --- J. N. Connelly and K-I. Åhäll: The Mesoproterozoic cratonization of Baltica — new age constraints from SW Sweden / Geological Society, London, Special Publications, 112:261-273, doi:10.1144/GSL.SP.1996.112.01.14 --- J. F. Menuge and T. S. Brewer: Mesoproterozoic anorogenic magmatism in southern Norway / Geological Society, London, Special Publications, 112:275-295, doi:10.1144/GSL.SP.1996.112.01.15 --- J. N. Connelly, J. Berglund, and S. Å. Larson: Thermotectonic evolution of the Eastern Segment of southwestern Sweden: tectonic constraints from U-Pb geochronology / Geological Society, London, Special Publications, 112:297-313, doi:10.1144/GSL.SP.1996.112.01.16 --- Laurence M. Page, Michael B. Stephens, and Carl-Henric Wahlgren: 40Ar/39Ar geochronological constraints on the tectonothermal evolution of the Eastern Segment of the Sveconorwegian Orogen, south-central Sweden / Geological Society, London, Special Publications, 112:315-330, doi:10.1144/GSL.SP.1996.112.01.17 --- S. Mertanen, L. J. Pesonen, and H. Huhma: Palaeomagnetism and Sm-Nd ages of the Neoproterozoic diabase dykes in Laanila and Kautokeino, northern Fennoscandia / Geological Society, London, Special Publications, 112:331-358, doi:10.1144/GSL.SP.1996.112.01.18 --- Trevor F. Emmett: The provenance of pre-Scandian continental flakes within the Caledonide Orogen of south-central Norway / Geological Society, London, Special Publications, 112:359-366, doi:10.1144/GSL.SP.1996.112.01.19 --- W. R. Fitches, N. J. G. Pearce, J. A. Evans, and R. J. Muir: Provenance of late Proterozoic Dalradian tillite clasts, Inner Hebrides, Scotland / Geological Society, London, Special Publications, 112:367-377, doi:10.1144/GSL.SP.1996.112.01.20

Note: A. Morris and D. H. Tarling: Palaeomagnetism and tectonics of the Mediterranean region: an introduction / Geological Society, London, Special Publications, 105:1-18, doi:10.1144/GSL.SP.1996.105.01.01 --- Western Mediterranean --- A. Kirker and E. McClelland: Application of net tectonic rotations and inclination analysis to a high-resolution palaeomagnetic study in the Betic Cordillera / Geological Society, London, Special Publications, 105:19-32, doi:10.1144/GSL.SP.1996.105.01.02 --- J. J. Villalaín, M. L. Osete, R. Vegas, V. García-Dueñas, and F. Heller: The Neogene remagnetization in the western Betics: a brief comment on the reliability of palaeomagnetic directions / Geological Society, London, Special Publications, 105:33-41, doi:10.1144/GSL.SP.1996.105.01.03 --- H. Feinberg, O. Saddiqi, and A. Michard: New constraints on the bending of the Gibraltar Arc from palaeomagnetism of the Ronda peridotites (Betic Cordilleras, Spain) / Geological Society, London, Special Publications, 105:43-52, doi:10.1144/GSL.SP.1996.105.01.04 --- D. Khattach, D. Najid, N. Hamoumi, and D. H. Tarling: Palaeomagnetic studies in Morocco: tectonic implications for the Meseta and Anti-Atlas since the Permian / Geological Society, London, Special Publications, 105:53-57, doi:10.1144/GSL.SP.1996.105.01.05 --- D. Rey, P. Turner, and A. Ramos: Palaeomagnetism and magnetostratigraphy of the Middle Triassic in the Iberian Ranges (Central Spain) / Geological Society, London, Special Publications, 105:59-82, doi:10.1144/GSL.SP.1996.105.01.06 --- M. T. Juárez, M. L. Osete, R. Vegas, C. G. Langereis, and G. Meléndez: Palaeomagnetic study of Jurassic limestones from the Iberian Range (Spain): tectonic implications / Geological Society, London, Special Publications, 105:83-90, doi:10.1144/GSL.SP.1996.105.01.07 --- M. Garcés, J. M. Parés, and L. Cabrera: Inclination error linked to sedimentary facies in Miocene detrital sequences from the Vallès-Penedès Basin (NE Spain) / Geological Society, London, Special Publications, 105:91-99, doi:10.1144/GSL.SP.1996.105.01.08 --- P. Keller and U. Gehring: Consequences of post-collisional deformation on the reconstruction of the East Pyrenees / Geological Society, London, Special Publications, 105:101-109, doi:10.1144/GSL.SP.1996.105.01.09 --- J. L. Pereira, A. Rapalini, D. H. Tarling, and J. Fonseca: Palaeomagnetic dating and determination of tectonic tilting: a study of Mesozoic-Cenozoic igneous rocks in central West Portugal / Geological Society, London, Special Publications, 105:111-117, doi:10.1144/GSL.SP.1996.105.01.10 --- Central Mediterranean and Carpathians --- J. E. T. Channell: Palaeomagnetism and palaeogeography of Adria / Geological Society, London, Special Publications, 105:119-132, doi:10.1144/GSL.SP.1996.105.01.11 --- M. Iorio, G. Nardi, D. Pierattini, and D. H. Tarling: Palaeomagnetic evidence of block rotations in the Matese Mountains, Southern Apennines, Italy / Geological Society, London, Special Publications, 105:133-139, doi:10.1144/GSL.SP.1996.105.01.12 --- M. Mattei, C. Kissel, L. Sagnotti, R. Funiciello, and C. Faccenna: Lack of Late Miocene to Present rotation in the Northern Tyrrhenian margin (Italy): a constraint on geodynamic evolution / Geological Society, London, Special Publications, 105:141-146, doi:10.1144/GSL.SP.1996.105.01.13 --- M. Fedi, G. Florio, and A. Rapolla: The pattern of crustal block rotations in the Italian region deduced from aeromagnetic anomalies / Geological Society, London, Special Publications, 105:147-152, doi:10.1144/GSL.SP.1996.105.01.14 --- Emő Márton and Péter Márton: Large scale rotations in North Hungary during the Neogene as indicated by palaeomagnetic data / Geological Society, London, Special Publications, 105:153-173, doi:10.1144/GSL.SP.1996.105.01.15 --- Miroslav Krs, Marta Krsová, and Petr Pruner: Palaeomagnetism and palaeogeography of the Western Carpathians from the Permian to the Neogene / Geological Society, London, Special Publications, 105:175-184, doi:10.1144/GSL.SP.1996.105.01.16 --- Václav Houša, Miroslav Krs, Marta Krsová, and Petr Pruner: Magnetostratigraphy of Jurassic-Cretaceous limestones in the Western Carpathians / Geological Society, London, Special Publications, 105:185-194, doi:10.1144/GSL.SP.1996.105.01.17 --- M. Iorio, D. H. Tarling, B. D’argenio, and G. Nardi: Ultra-fine magnetostratigraphy of Cretaceous shallow water carbonates, Monte Raggeto, southern Italy / Geological Society, London, Special Publications, 105:195-203, doi:10.1144/GSL.SP.1996.105.01.18 --- E. McClelland, B. Finegan, and R. W. H. Butler: A magnetostratigraphic study of the onset of the Mediterranean Messinian salility crisis; Caltanissetta Basin, Sicily / Geological Society, London, Special Publications, 105:205-217, doi:10.1144/GSL.SP.1996.105.01.19 --- F. Florindo and L. Sagnotti: Revised magnetostratigraphy and rock magnetism of Pliocene sediments from Valle Ricca (Rome, Italy) / Geological Society, London, Special Publications, 105:219-223, doi:10.1144/GSL.SP.1996.105.01.20 --- Giancarlo Scalera, Paolo Favali, and Fabio Florindo: Palaeomagnetic database: the effect of quality filtering for geodynamic studies / Geological Society, London, Special Publications, 105:225-237, doi:10.1144/GSL.SP.1996.105.01.21 --- Eastern Mediterranean --- A. H. F. Robertson, J. E. Dixon, S. Brown, A. Collins, A. Morris, E. Pickett, I. Sharp, and T. Ustaömer: Alternative tectonic models for the Late Palaeozoic-Early Tertiary development of Tethys in the Eastern Mediterranean region / Geological Society, London, Special Publications, 105:239-263, doi:10.1144/GSL.SP.1996.105.01.22 --- H. J. Mauritsch, R. Scholger, S. L. Bushati, and A. Xhomo: Palaeomagnetic investigations in Northern Albania and their significance for the geodynamic evolution of the Adriatic-Aegean realm / Geological Society, London, Special Publications, 105:265-275, doi:10.1144/GSL.SP.1996.105.01.23 --- D. Kondopoulou, A. Atzemoglou, and S. Pavlides: Palaeomagnetism as a tool for testing geodynamic models in the North Aegean: convergences, controversies and a further hypothesis / Geological Society, London, Special Publications, 105:277-288, doi:10.1144/GSL.SP.1996.105.01.24 --- H. Feinberg, B. Edel, D. Kondopoulou, and A. Michard: Implications of ophiolite palaeomagnetism for the interpretation of the geodynamics of Northern Greece / Geological Society, London, Special Publications, 105:289-298, doi:10.1144/GSL.SP.1996.105.01.25 --- J. D. A. Piper, Joanna M. Moore, O. Tatar, H. Gursoy, and R. G. Park: Palaeomagnetic study of crustal deformation across an intracontinental transform: the North Anatolian Fault Zone in Northern Turkey / Geological Society, London, Special Publications, 105:299-310, doi:10.1144/GSL.SP.1996.105.01.26 --- Antony Morris: A review of palaeomagnetic research in the Troodos ophiolite, Cyprus / Geological Society, London, Special Publications, 105:311-324, doi:10.1144/GSL.SP.1996.105.01.27 --- A. M. Kafafy, D. H. Tarling, M. M. El Gamili, H. H. Hamama, and E. H. Ibrahim: Palaeomagnetism of some Cretaceous Nubian Sandstones, Northern Sinai, Egypt / Geological Society, London, Special Publications, 105:325-332, doi:10.1144/GSL.SP.1996.105.01.28 --- A. L. Abdeldayem and D. H. Tarling: Palaeomagnetism of some Tertiary sedimentary rocks, southwest Sinai, Egypt, in the tectonic framework of the SE Mediterranean / Geological Society, London, Special Publications, 105:333-343, doi:10.1144/GSL.SP.1996.105.01.29 --- Applications in Volcanology --- Leon Bardot, Rick Thomas, and Elizabeth McClelland: Emplacement temperatures of pyroclastic deposits on Santorini deduced from palaeomagnetic measurements: constraints on eruption mechanisms / Geological Society, London, Special Publications, 105:345-357, doi:10.1144/GSL.SP.1996.105.01.30 --- Maurizio De’ Gennaro, Paola R. Gialanella, Alberto Incoronato, Giuseppe Mastrolorenzo, and Debora Naimo: Palaeomagnetic controls on the emplacement of the Neapolit

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: СОДЕРЖАНИЕ Пленарные доклады О роли академика П.И. Мельникова в становлении сибирской геокриологической научной школы / В.В. Шепелев Глобальные изменения климата и криолитозона (ретроспективный анализ и прогноз) / В. Т. Балобаев, Ю.Б. Скачков Перспектива создания молодежных международных проектов геокриологических исследований юга Сибирской платформы / М.Н. Железняк 15 лет российско-германского сотрудничества в области геокриологии / Х-В. Хуббертен, М.Н. Григорьев, Н.Н. Романовский, Д.Ю. Большиянов Региональная и историческая геокриология Рельеф и возраст аллювиального покрова долины р. Лены на «Якутском разбое» / В.В. Спектор Предварительная схема мерзлотноландшафтной дифференциации Монголии / А.А. Шестакова Начало геокриологических исследований на Северо-Востоке России / Ю.Г. Слепцова, Ф.В. Митин Характеристика повторно-жильных льдов на территорииЛредверхоянскоrо прогиба (Северо-Восток Сибири) / Штеффен Попп Позднеплейстоценовые оледенения на Верхоянском хребте (Северо-Восток Сибири) / Г. Штаух, Ш. Попп, В. Спектор, И. Белолюбский, Ф. Лемкул PYRN-TSP Scandinavia: Вклад в проект МПГ «Тепловое состояние криолитозоны» / А.В. Прокопьев,К. Зигерт, Б. Дикман, Х. Лантуит, М. Йоханссон, О.У. Фраунфельд Криогенные процессы и явления Разработка легенды опасности термокарста / Ю.В. Станшzовская, Д.О. Сергеев Изучение формирования многолетних бугров пучения на низких террасах р . Лены в Центральной Якутии / Я.В. Стамбовская Палеокриогенные явления в верхнеплейстоценовых отложениях Пур-Надымского междуречья / О.Л. Опокина Процессы морозного пучения грунтов Южной Якутии / А.А. Урбан Использование данных дистанционного зондирования для оценки опасных гравитационных геокриологических процессов в горах / С.А. Гавршzова Картирование горной криолитозоны на основе результатов моделирования / А. Саруулзая, Я. Джаббалджав, А. Даштсэрэн , Д. Солонго, Д. Доржготов, Ю. Йиджима, М. Ишикава, Й. Чжаи, Т. Кадота, Т. Охата Гидрология и гидрогеология мерзлой зоны Районирование территории Центральной Якутии по эффективности пользования метода искусственного восполнения запасов подземных вод / А.В. Сычевский Параметризация гидрологических процессов в зоне многолетней мерзлоты на основе данных экспериментальных наблюдений / И.Н. Бельдиман Бугорообразование в зоне выхода межмерзлотных подземных вод источника Юрюю (Центральная Якутия) / В.С. Ефремов Моделирование условий теплообмена на участке разгрузки подземных вод в Центральной Якутии (на примере источника Улахан-Тарын) / Л.А. Гаzарин Изменение тепло- и температуропроводности сред, имитирующих гидратоносные донные осадки / М.Е. Пермякова, Д.Е. Аюнов Влияние колебаний климата на многолетнюю изменчивость параметров надмерзлотно-межмерзлотных водоносных горизонтов Бестяхской террасы р. Лены / А.Б. Колесников Моделирование процессов формирования стоков в бассейне р. Лены / О.М. Семенова Гидролого-гидрохимические особенности рек Арктической зоны Западной Сибири. Характеристика стока растворенных веществ / А.А. Четверова, И.В. Федорова, Т.М. Потапова Биологически активные вещества в озерах г. Якутска / А.Л. Чижук Водные свойства четвертичных отложений долины Туймаада / А.А. Фалини Особенности химического состава озерных вод восточного склона Полярного Урала / Н.В. Гусева, К.А. Климов Дистанционное зондирование пространственно-временных изменений термокарстовых озер в Северной Якутии / Гвидо Гроссе, Владимир Романовский, Кейти Уолтер Оценка реакции криолитозоны и криогенных ландшафтов на изменения климата и техногенные воздействия Сравнение фактических и модельных данных о реакции многолетней мерзлоты на изменение внешних условий теплообмена (на примере Надым-Пур-Тазовского региона) / Ю.А. Ухова, Д.О. Сергеев, Ю.В. Станиловская, А.Б. Осокин Растительный покров как индикатор пространственно-временной дифференциации Монголии / А.В. Хомутов О захоронении твердых бытовых отходов в г. Якутске / Д.Ю. Покрышка О принципиальной возможности захоронения СО2 в криолитозоне Западной Сибири / Д.Е. Аюнов, М.Е. Пермяков Изменение ландшафтных условий под воздействием техногенных нагрузок на участке террасы газопровода Надым - Пунга / Е.В. Еланцев Разработка и применение противопучинных мероприятий для опор контактной сети на Забайкальской железной дороге / З.Б. Дашинимаев, В.Г. Кондратьев Инженерно-геокриологический мониторинг на трассе строящейся железной дороги Томмот - Якутск / А.В. Литовко Прогноз теплового взаимодействия насьши с грунтами основания проектируемого участка «станция Олень - разъезд Боттома» железнодорожной трассы Томмот - Якутск / А.В. Сандаков Роль криогенных процессов в формировании рельефа и заболачивании урбанизированной территории криолитозоны (на примере г. Якутска) / Н.А. Сычевская Влияние процесса сезонного промерзанияпротаивания на гранулометрический состав грунтов сезонного слоя / И.В. Лукашин Экспериментальное определение температуры начала кристаллизации порового раствора в зависимости от его минерализации / А.А. Семерня Изменчивость вегетационного периода во второй половине ХХ в. на Северо-Востоке Сибири / Марко Лангер, Йорг-Фридхельм Фенцке Деградация ММП на Цинхай-Тибетском нагорье и обеспечение устойчивости грунтов в основании железной дороги / Ню Фуцзюнь, Линь Чжаньцзюй, Сюй Цзянь. Анализ результатов экспериментальных исследований на участке вентилируемой насыпи Цинхай-Тибетской железнодорожной магистрали / Юй Цихао, Цянь Цзинь, Пань Сицаи Список участников , TABLE OF CONTENTS Plenary Papers The contribution of Academician P.I. Melnikov to the Siberian geocryological school / V. V. Shepelev Global climatic change and permafrost (Retrospective analysis and prediction) / V. T. Balobaev, Y.B. Skachkov The prospects for establishing youth projects in geocryology in the southern siberian platform / M. N. Zheleznyak 15 Years of Russian-German Cooperation in Geocryology / H.-W. Hubberten, M.N. Grigoriev, N.N. Romanovski and D. Yu.Bolshiyanov Regional and Historical Geocryology Relief and age of the alluvial cover in the Lena valley at Yakutsky Razboy / V. V. Spektor Permafrost-Landscape Differentiation of Mongolia: A Preliminary Scheme / A.A. Shestakova First geocryological observations in northeastern Russia / Y. G. Sleptsova, F. V. Mitin Ice-wedge occurrence in the Verkhoyansk Foreland, Yakutia, north-eastern Siberia / Steffen Popp Late Pleistocene glaciations in the Verkhoyansk Mountains, North-Eastern Siberia / G. Stauch, S. Popp, V. Spektor, L. Belolyubsky, A. V. Prokopiev, C. Siegert, B. Diekmann, F. Lehmkuhl PYRN-TSP Scandinavia: Contribution to IPY's "Thermal State of Permafrost" / H. Lantuit, M. Johansson, O. W.Frauenfeld Periglacial Processes and Forms Developing the thermokarst hazard legend / Y. V. Stanilovskaya, D.O. Sergueev Formation of perennial frost mounds on the Lena River low terraces, Central Yakutia / Y. V. Stambovskaya Paleocryogenic features in Upper Pleistocene sediments between the Pur and Nadym Rivers / O.L. Opokina Frost heaving in southern Yakutia / A.A. Urban The use of remote sensing data for evaluating frost-related mountain slope hazards / S.A. Gavrilova Mapping the mountain permafrost based on the modeling results / A. Saruulzaya, Ya. Jambaljav, A. Dashtseren, D. Solongo, D. Dorjgotov, Y. Iijima, M. Ishikawa, Y. Zhang, T. Kadota, T. Ohata Hydrology and Hydrogeology in Cold Regions . Zonation of Central Yakutia Based on Artificial Groundwater Recharge Method Efficiency / A. V. Sychevsky Parameterization of hydro logic processes in the permafrost zone based on experimental observation data / LN. Beldiman Formation of seasonal frost mounds in talik groundwater discharge areas - an example of Eruu spring, Central Yakutia / V.S. Efremov Modeling the heat exchange conditions for a groundwater discharge site in Central Yakutia - an example of Ulakhan-Taryn spring / L.A. Gagarin Changes in thermal conductivity and thermal diffusivity of media simulating hydrate-bearing bottom deposits / M.E. Permyakov, D.E. Ayunov The effect of climatic variations on supra- and intrapermafrost aquifers in the Bestyach terrace of the Lena river / A.B. Kolesnikov Modeling of runoff processes in the Lena basin / O.M. Semenova Hydrology and chemistry of the Arctic rivers in West Siberia: Dissolved solid yield / A.A. Chetverova, L V. Fedorova, T.M. Potapova Biologically active substances in the city of Yakutsk lakes / A.L. Chizhuk Hydraulic properties of Quaternary deposits in the Tuymaada valley / A.A. Falina Lake water chemistry on the Polar Urals eastern slope / N. V. Guseva, K.A. Klimov Remote sensing of spatio-temporal changes of thermokarst lakes and ponds in north yakutia / Guido Grosse, Vladimir Romanovsky, Katey Walter Response of Permafrost Terrain to Climate Change and Human Activities Comparison of observation and modeling data on permafrost response to changes in the surface energy regime: Nadyr-Pur-Tazovsky case study / Y.A. Ukhova, D.O. Sergueev, Y. V. Stanislavskaya, A.B. Osokin Vegetation as an indicator for spatio-temporal differentiation of Mongolia / A. V. Khomutov Solid waste disposal at Yakutsk / D. Y. Pokryshka The feasibility of CO2 storage in permafrost in West Siberia / D.E. Ayunov, M.E. Permyakov. Man-induced changes in landscape conditions along the terrace section of the Nadym-Punga gas pipeline / E. V. Elantsev Development and use of heave control measures for the Trans-Baikal Railroad contact line supports / Z.B. Dashinimaev, V.G. Kondratyev Geocryological monitoring of the Tommot-Yakutsk railroad embankment / A. V. Litovko Predicting the thermal interaction between the embankment and the subgrade for the Olen to Bottorna section of the Tommot-Yakutsk Railroad / A. V. Sandakov The effects of frost action on topography and pa!udification of urban areas in the permafrost zone: an example of Yakutsk / N.A. Sychevskaya The effect of seasonal thawing-freezing cycles on grain-size distribution in the active-layer soils / L V. Lukashin Experimental determination of the freezing temperature of soil pore solution in relation to its mineralization / A.A. Semernya The Development of Growing Season during the Second Half of the 20th Century in Northeast Siberia / Marco Langer, Jorg-Fridchel'm Fencke Permafrsot degradation in Qinghai-Tibet plateau and thermal stability of the railway / Niu Fujun, Lin Zhanju, Xu Jian Experiment results analysis about the temperature controlled ventilated embankment of Qinghai-Tibet railway / Yu Qihao, Qian Jin, Pan Xicai List of Participants , In kyrillischer Schrift