ALBERT

Note: J.S. Daly, R.A. Cliff, and B.W.D. Yardley: Preface / Geological Society, London, Special Publications, 43:vii-viii, doi:10.1144/GSL.SP.1989.043.01.01 --- E. J. Essene: The current status of thermobarometry in metamorphic rocks / Geological Society, London, Special Publications, 43:1-44, doi:10.1144/GSL.SP.1989.043.01.02 --- L. Ya. Aranovich and K. K. Podlesskii: Geothermobarometry of high-grade metapelites: simultaneously operating reactions / Geological Society, London, Special Publications, 43:45-61, doi:10.1144/GSL.SP.1989.043.01.03 --- Frank S. Spear: Relative thermobarometry and metamorphic P-T, paths / Geological Society, London, Special Publications, 43:63-81, doi:10.1144/GSL.SP.1989.043.01.04 --- R. H. Vernon: Porphyroblast-matrix microstructural relationships: recent approaches and problems / Geological Society, London, Special Publications, 43:83-102, doi:10.1144/GSL.SP.1989.043.01.05 --- John Ridley: Vertical movement in orogenic belts and the timing of metamorphism relative to deformation / Geological Society, London, Special Publications, 43:103-115, doi:10.1144/GSL.SP.1989.043.01.06 --- R. A. Jamieson and C. Beaumont: Deformation and metamorphism in convergent orogens: a model for uplift and exhumation of metamorphic terrains / Geological Society, London, Special Publications, 43:117-129, doi:10.1144/GSL.SP.1989.043.01.07 --- Peter K. Zeitler: The geochronology of metamorphic processes / Geological Society, London, Special Publications, 43:131-147, doi:10.1144/GSL.SP.1989.043.01.08 --- James J. Irwin, Charles Kirschbaum, Tek. H. Lim, Derek Powell, and William E. Glassley: A laser-microprobe study of argon isotopes in deformed pegmatites from the Northern Highlands of Scotland / Geological Society, London, Special Publications, 43:149-160, doi:10.1144/GSL.SP.1989.043.01.09 --- A. Reuter and R. D. Dallmeyer: K-Ar and 40Ar/39Ar dating of cleavage formed during very low-grade metamorphism: a review / Geological Society, London, Special Publications, 43:161-171, doi:10.1144/GSL.SP.1989.043.01.10 --- Hanan J. Kisch: Discordant relationship between degree of very low-grade metamorphism and the development of slaty cleavage / Geological Society, London, Special Publications, 43:173-185, doi:10.1144/GSL.SP.1989.043.01.11 --- J. J. De Yoreo, D. R. Lux, and C. V. Guidotti: The role of crustal anatexis and magma migration in the thermal evolution of regions of thickened continental crust / Geological Society, London, Special Publications, 43:187-202, doi:10.1144/GSL.SP.1989.043.01.12 --- C. P. Chamberlain and Douglas Rumble III: The influence of fluids on the thermal history of a metamorphic terrain: New Hampshire, USA / Geological Society, London, Special Publications, 43:203-213, doi:10.1144/GSL.SP.1989.043.01.13 --- Howard W. Day and C. Page Chamberlain: Implications of thermal and baric structure for controls on metamorphism: northern New England, USA / Geological Society, London, Special Publications, 43:215-222, doi:10.1144/GSL.SP.1989.043.01.14 --- L. Aguirre, B. Levi, and J. O. Nyström: The link between metamorphism, volcanism and geotectonic setting during the evolution of the Andes / Geological Society, London, Special Publications, 43:223-232, doi:10.1144/GSL.SP.1989.043.01.15 --- T. M. Gordon: Thermal evolution of the Kisseynew sedimentary gneiss belt, Manitoba: metamorphism at an early Proterozoic accretionary margin / Geological Society, London, Special Publications, 43:233-243, doi:10.1144/GSL.SP.1989.043.01.16 --- Peter H. Thompson: An empirical model for metamorphic evolution of the Archaean Slave Province and adjacent Thelon Tectonic Zone, north-western Canadian Shield / Geological Society, London, Special Publications, 43:245-263, doi:10.1144/GSL.SP.1989.043.01.17 --- Amalbikash Mukherjee: P-T-time history and thermal modelling of an anorthosite-granulite interface, Eastern Ghats metamorphic belt, India / Geological Society, London, Special Publications, 43:265-274, doi:10.1144/GSL.SP.1989.043.01.18 --- Leonid L. Perchuk: P-T-fluid regimes of metamorphism and related magmatism with specific reference to the granulite-facies Sharyzhalgay complex of Lake Baikal / Geological Society, London, Special Publications, 43:275-291, doi:10.1144/GSL.SP.1989.043.01.19 --- D. Ackermand, B. F. Windley, and A. Razafiniparany: The Precambrian mobile belt of southern Madagascar / Geological Society, London, Special Publications, 43:293-296, doi:10.1144/GSL.SP.1989.043.01.20 --- I. Cartwright and A. C. Barnicoat: Evolution of the Scourian complex / Geological Society, London, Special Publications, 43:297-301, doi:10.1144/GSL.SP.1989.043.01.21 --- M. A. H. Maboko, I. McDougall, and P. K. Zeitler: Metamorphic P-T path of granulites in the Musgrave Ranges, central Australia / Geological Society, London, Special Publications, 43:303-307, doi:10.1144/GSL.SP.1989.043.01.22 --- Eileen McLellan, Daniel Linder, and Jenny Thomas: Multiple granulite-facies events in the southern Appalachians, USA / Geological Society, London, Special Publications, 43:309-314, doi:10.1144/GSL.SP.1989.043.01.23 --- James M. McLelland: Pre-granulite-facies metamorphism in the Adirondack Mountains, New York / Geological Society, London, Special Publications, 43:315-317, doi:10.1144/GSL.SP.1989.043.01.24 --- F. Mengel and T. Rivers: Thermotectonic evolution of proterozoic and reworked Archaean terranes along the Nain-Churchill boundary in the Saglek Area, northern Labrador / Geological Society, London, Special Publications, 43:319-324, doi:10.1144/GSL.SP.1989.043.01.25 --- Motoyoshi Yoichi, Satoshi Matsubara, and Hiroharu Matsueda: P-T evolution of the granulite-facies rocks of the Lützow-Holm Bay region, East Antarctica / Geological Society, London, Special Publications, 43:325-329, doi:10.1144/GSL.SP.1989.043.01.26 --- H. R. Rollinson: Garnet—orthopyroxene thermobarometry of granulites from the north marginal zone of the Limpopo belt, Zimbabwe / Geological Society, London, Special Publications, 43:331-335, doi:10.1144/GSL.SP.1989.043.01.27 --- Volker Schenk: P-T-t path of the lower crust in The Hercynian fold belt of southern Calabria / Geological Society, London, Special Publications, 43:337-342, doi:10.1144/GSL.SP.1989.043.01.28 --- Daniel Vielzeuf and Christian Pin: Geodynamic implications of granulitic rocks in the Hercynian belt / Geological Society, London, Special Publications, 43:343-348, doi:10.1144/GSL.SP.1989.043.01.29 --- R. G. Warren and B. J. Hensen: The P-T evolution of the Proterozoic Arunta Block, central Australia, and Implications for tectonic evolution / Geological Society, London, Special Publications, 43:349-355, doi:10.1144/GSL.SP.1989.043.01.30 --- D. J. Waters: Metamorphic evidence for the heating and cooling path of Namaqualand granulites / Geological Society, London, Special Publications, 43:357-363, doi:10.1144/GSL.SP.1989.043.01.31 --- I. S. Buick and T. J. B. Holland: The P-T-t path associated with crustal extension, Naxos, Cyclades, Greece / Geological Society, London, Special Publications, 43:365-369, doi:10.1144/GSL.SP.1989.043.01.32 --- M. Franceschelli, I. Memmi, F. Pannuti, and C. A. Ricci: Diachronous metamorphic equilibria in the Hercynian basement of northern Sardinia, Italy / Geological Society, London, Special Publications, 43:371-375, doi:10.1144/GSL.SP.1989.043.01.33 --- P. K. Verma: The Himalayan metamorphism / Geological Society, London, Special Publications, 43:377-383, doi:10.1144/GSL.SP.1989.043.01.34 --- A. J. Barker and M. W. Anderson: The Caledonian structural—metamorphic evolution of south Troms, Norway / Geological Society, London, Special Publications, 43:385-390, doi:10.1144/GSL.SP.1989.043.01.35 --- Kevin W. Burton, Alan P. Boyle, Wendy L. Kirk, and Roger Mason: Pressure, temperature and structural evolution of the Sulitjelma fold-nappe, central Scandinavian Caledonides / Geological Society, London, Special Publications, 43:391-411, doi:10.1144/GSL.SP.1989.043.01.36 --- A. H. N. Rice, R.

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: J. G. Fitton and B. G. J. Upton: Introduction / Geological Society, London, Special Publications, 30:ix-xiv, doi:10.1144/GSL.SP.1987.030.01.01 --- D. K. Bailey: Mantle metasomatism—perspective and prospect / Geological Society, London, Special Publications, 30:1-13, doi:10.1144/GSL.SP.1987.030.01.02 --- Martin Menzies: Alkaline rocks and their inclusions: a window on the Earth’s interior / Geological Society, London, Special Publications, 30:15-27, doi:10.1144/GSL.SP.1987.030.01.03 --- A. D. Edgar: The genesis of alkaline magmas with emphasis on their source regions: inferences from experimental studies / Geological Society, London, Special Publications, 30:29-52, doi:10.1144/GSL.SP.1987.030.01.04 --- M. J. Le Bas: Nephelinites and carbonatites / Geological Society, London, Special Publications, 30:53-83, doi:10.1144/GSL.SP.1987.030.01.05 --- James D. Twyman and John Gittins: Alkalic carbonatite magmas: parental or derivative? / Geological Society, London, Special Publications, 30:85-94, doi:10.1144/GSL.SP.1987.030.01.06 --- J. B. Dawson: The kimberlite clan: relationship with olivine and leucite lamproites, and inferences for upper-mantle metasomatism / Geological Society, London, Special Publications, 30:95-101, doi:10.1144/GSL.SP.1987.030.01.07 --- Steven C. Bergman: Lamproites and other potassium-rich igneous rocks: a review of their occurrence, mineralogy and geochemistry / Geological Society, London, Special Publications, 30:103-190, doi:10.1144/GSL.SP.1987.030.01.08 --- Nicholas M.S. Rock: The nature and origin of lamprophyres: an overview / Geological Society, London, Special Publications, 30:191-226, doi:10.1144/GSL.SP.1987.030.01.09 --- David A. Clague: Hawaiian alkaline volcanism / Geological Society, London, Special Publications, 30:227-252, doi:10.1144/GSL.SP.1987.030.01.10 --- Barry L. Weaver, David A. Wood, John Tarney, and Jean Louis Joron: Geochemistry of ocean island basalts from the South Atlantic: Ascension, Bouvet, St. Helena, Gough and Tristan da Cunha / Geological Society, London, Special Publications, 30:253-267, doi:10.1144/GSL.SP.1987.030.01.11 --- Chris Harris and Simon M.F. Sheppard: Magma and fluid evolution in the lavas and associated granite xenoliths of Ascension Island / Geological Society, London, Special Publications, 30:269-272, doi:10.1144/GSL.SP.1987.030.01.12 --- J. G. Fitton: The Cameroon line, West Africa: a comparison between oceanic and continental alkaline volcanism / Geological Society, London, Special Publications, 30:273-291, doi:10.1144/GSL.SP.1987.030.01.13 --- B.H. Baker: Outline of the petrology of the Kenya rift alkaline province / Geological Society, London, Special Publications, 30:293-311, doi:10.1144/GSL.SP.1987.030.01.14 --- R. Macdonald: Quaternary peralkaline silicic rocks and caldera volcanoes of Kenya / Geological Society, London, Special Publications, 30:313-333, doi:10.1144/GSL.SP.1987.030.01.15 --- A. R. Woolley and G. C. Jones: The petrochemistry of the northern part of the Chilwa alkaline province, Malawi / Geological Society, London, Special Publications, 30:335-355, doi:10.1144/GSL.SP.1987.030.01.16 --- P. Bowden, R. Black, R. F. Martin, E. C. Ike, J. A. Kinnaird, and R. A. Batchelor: Niger-Nigerian alkaline ring complexes: a classic example of African Phanerozoic anorogenic mid-plate magmatism / Geological Society, London, Special Publications, 30:357-379, doi:10.1144/GSL.SP.1987.030.01.17 --- J. P. Liégeois and R. Black: Alkaline magmatism subsequent to collision in the Pan-African belt of the Adrar des Iforas (Mali) / Geological Society, London, Special Publications, 30:381-401, doi:10.1144/GSL.SP.1987.030.01.18 --- C. J. N. Fletcher and B. Beddoe-Stephens: The petrology, chemistry and crystallization history of the Velasco alkaline province, eastern Bolivia / Geological Society, London, Special Publications, 30:403-413, doi:10.1144/GSL.SP.1987.030.01.19 --- Daniel S. Barker: Tertiary alkaline magmatism in Trans-Pecos Texas / Geological Society, London, Special Publications, 30:415-431, doi:10.1144/GSL.SP.1987.030.01.20 --- G. Nelson Eby: The Monteregian Hills and White Mountain alkaline igneous provinces, eastern North America / Geological Society, London, Special Publications, 30:433-447, doi:10.1144/GSL.SP.1987.030.01.21 --- B.G.J. Upton and C.H. Emeleus: Mid-Proterozoic alkaline magmatism in southern Greenland: the Gardar province / Geological Society, London, Special Publications, 30:449-471, doi:10.1144/GSL.SP.1987.030.01.22 --- Lotte Melchior Larsen and Henning Sørensen: The Ilímaussaq intrusion—progressive crystallization and formation of layering in an agpaitic magma / Geological Society, London, Special Publications, 30:473-488, doi:10.1144/GSL.SP.1987.030.01.23 --- T. F. D. Nielsen: Tertiary alkaline magmatism in East Greenland: a review / Geological Society, London, Special Publications, 30:489-515, doi:10.1144/GSL.SP.1987.030.01.24 --- Hilary Downes: Tertiary and Quaternary volcanism in the Massif Central, France / Geological Society, London, Special Publications, 30:517-530, doi:10.1144/GSL.SP.1987.030.01.25 --- L. N. Kogarko: Alkaline rocks of the eastern part of the Baltic Shield (Kola Peninsula) / Geological Society, London, Special Publications, 30:531-544, doi:10.1144/GSL.SP.1987.030.01.26

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: 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: 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 Recent research developments / Geological Society, London, Special Publications, 17:xi-xii, doi:10.1144/GSL.SP.1984.017.01.01 --- A. H. F. Robertson and J. E. Dixon: Introduction: aspects of the geological evolution of the Eastern Mediterranean / Geological Society, London, Special Publications, 17:1-74, doi:10.1144/GSL.SP.1984.017.01.02 --- 1. Palaeotethys --- Editor’s introduction / Geological Society, London, Special Publications, 17:75-76, doi:10.1144/GSL.SP.1984.017.01.03 --- A. M. C. Şengör, Y. Yılmaz, and O. Sungurlu: Tectonics of the Mediterranean Cimmerides: nature and evolution of the western termination of Palaeo-Tethys / Geological Society, London, Special Publications, 17:77-112, doi:10.1144/GSL.SP.1984.017.01.04 --- Olivier Monod and Ergün Akay: Evidence for a Late Triassic-Early Jurassic orogenic event in the Taurides / Geological Society, London, Special Publications, 17:113-122, doi:10.1144/GSL.SP.1984.017.01.05 --- I. E. Kerey: Facies and tectonic setting of the Upper Carboniferous rocks of Northwestern Turkey / Geological Society, London, Special Publications, 17:123-128, doi:10.1144/GSL.SP.1984.017.01.06 --- E. Demirtaşh: Stratigraphic evidence of Variscan and early Alpine tectonics in Southern Turkey / Geological Society, London, Special Publications, 17:129-145, doi:10.1144/GSL.SP.1984.017.01.07 --- 2. Neoththys --- Levant and North African offshore: Editor’s introduction / Geological Society, London, Special Publications, 17:147-149, doi:10.1144/GSL.SP.1984.017.01.08 --- M. Delaune-Mayere: Evolution of a Mesozoic passive continental margin: Baër-Bassit (NW Syria) / Geological Society, London, Special Publications, 17:151-159, doi:10.1144/GSL.SP.1984.017.01.09 --- G. Sestini: Tectonic and sedimentary history of the NE African margin (Egypt—Libya) / Geological Society, London, Special Publications, 17:161-175, doi:10.1144/GSL.SP.1984.017.01.10 --- Gdaliahu Gvirtzman and Tuvia Weissbrod: The Hercynian Geanticline of Helez and the Late Palaeozoic history of the Levant / Geological Society, London, Special Publications, 17:177-186, doi:10.1144/GSL.SP.1984.017.01.11 --- Z. Garfunkel and B. Derin: Permian-early Mesozoic tectonism and continental margin formation in Israel and its implications for the history of the Eastern Mediterranean / Geological Society, London, Special Publications, 17:187-201, doi:10.1144/GSL.SP.1984.017.01.12 --- Yehezkeel Druckman: Evidence for Early-Middle Triassic faulting and possible rifting from the Helez Deep Borehole in the coastal plain of Israel / Geological Society, London, Special Publications, 17:203-212, doi:10.1144/GSL.SP.1984.017.01.13 --- Abdulkader M. Abed: Emergence of Wadi Mujib (Central Jordan) during Lower Cenomanian time and its regional tectonic implications / Geological Society, London, Special Publications, 17:213-216, doi:10.1144/GSL.SP.1984.017.01.14 --- F. Hirsch: The Arabian sub-plate during the Mesozoic / Geological Society, London, Special Publications, 17:217-223, doi:10.1144/GSL.SP.1984.017.01.15 --- Michel Delaloye and Jean-Jacques Wagner: Ophiolites and volcanic activity near the western edge of the Arabian plate / Geological Society, London, Special Publications, 17:225-233, doi:10.1144/GSL.SP.1984.017.01.16 --- 3. Neotethys: Turkey --- Editor’s introduction / Geological Society, London, Special Publications, 17:235-240, doi:10.1144/GSL.SP.1984.017.01.17 --- A. Poisson: The extension of the Ionian trough into southwestern Turkey / Geological Society, London, Special Publications, 17:241-249, doi:10.1144/GSL.SP.1984.017.01.18 --- A. H. F. Robertson and N. H. Woodcock: The SW segment of the Antalya Complex, Turkey as a Mesozoic-Tertiary Tethyan continental margin / Geological Society, London, Special Publications, 17:251-271, doi:10.1144/GSL.SP.1984.017.01.19 --- J. W. F. Waldron: Structural history of the Antalya Complex in the ‘Isparta angle’, Southwest Turkey / Geological Society, London, Special Publications, 17:273-286, doi:10.1144/GSL.SP.1984.017.01.20 --- A. B. Hayward: Miocene clastic sedimentation related to the emplacement of the Lycian Nappes and the Antalya Complex, S.W. Turkey / Geological Society, London, Special Publications, 17:287-300, doi:10.1144/GSL.SP.1984.017.01.21 --- Hubert Whitechurch, Thierry Juteau, and Raymond Montigny: Role of the Eastern Mediterranean ophiolites (Turkey, Syria, Cyprus) in the history of the Neo-Tethys / Geological Society, London, Special Publications, 17:301-317, doi:10.1144/GSL.SP.1984.017.01.22 --- Ingrid Reuber: Mylonitic ductile shear zones within tectonites and cumulates as evidence for an oceanic transform fault in the Antalya ophiolite, S.W. Turkey / Geological Society, London, Special Publications, 17:319-334, doi:10.1144/GSL.SP.1984.017.01.23 --- Pınar O. Yılmaz: Fossil and K-Ar data for the age of the Antalya complex, S W Turkey / Geological Society, London, Special Publications, 17:335-347, doi:10.1144/GSL.SP.1984.017.01.24 --- L. E. Ricou, J. Marcoux, and H. Whitechurch: The Mesozoic organization of the Taurides: one or several ocean basins? / Geological Society, London, Special Publications, 17:349-359, doi:10.1144/GSL.SP.1984.017.01.25 --- A. Michard, H. Whitechurch, L. E. Ricou, R. Montigny, and E. Yazgan: Tauric subduction (Malatya-Elazıǧ provinces) and its bearing on tectonics of the Tethyan realm in Turkey / Geological Society, London, Special Publications, 17:361-373, doi:10.1144/GSL.SP.1984.017.01.26 --- G. Aktaş and A. H. F. Robertson: The Maden Complex, SE Turkey: evolution of a Neotethyan active margin / Geological Society, London, Special Publications, 17:375-402, doi:10.1144/GSL.SP.1984.017.01.27 --- Cahit Helvaci and William L. Griffin: Rb-Sr geochronology of the Bitlis Massif, Avnik (Bingöl) area, S.E. Turkey / Geological Society, London, Special Publications, 17:403-413, doi:10.1144/GSL.SP.1984.017.01.28 --- Ömer T. Akıncı: The Eastern Pontide volcano-sedimentary belt and associated massive sulphide deposits / Geological Society, London, Special Publications, 17:415-428, doi:10.1144/GSL.SP.1984.017.01.29 --- A. I. Okay and N. Özgül: HP/LT metamorphism and the structure of the Alanya Massif, Southern Turkey: an allochthonous composite tectonic sheet / Geological Society, London, Special Publications, 17:429-439, doi:10.1144/GSL.SP.1984.017.01.30 --- Teoman N. Norman: The role of the Ankara Melange in the development of Anatolia (Turkey) / Geological Society, London, Special Publications, 17:441-447, doi:10.1144/GSL.SP.1984.017.01.31 --- Ayla Tankut: Basic and ultrabasic rocks from the Ankara Melange, Turkey / Geological Society, London, Special Publications, 17:449-454, doi:10.1144/GSL.SP.1984.017.01.32 --- A. I. Okay: Distribution and characteristics of the north-west Turkish blueschists / Geological Society, London, Special Publications, 17:455-466, doi:10.1144/GSL.SP.1984.017.01.33 --- N. Görür, F.Y. Oktay, İ. Seymen, and A. M. C. Şengör: Palaeotectonic evolution of the Tuzgölü basin complex, Central Turkey: sedimentary record of a Neo-Tethyan closure / Geological Society, London, Special Publications, 17:467-482, doi:10.1144/GSL.SP.1984.017.01.34 --- J. P. Lauer: Geodynamic evolution of Turkey and Cyprus based on palaeomagnetic data / Geological Society, London, Special Publications, 17:483-491, doi:10.1144/GSL.SP.1984.017.01.35 --- 4. Neotethys: Greece and the Balkans --- Editor’s introduction / Geological Society, London, Special Publications, 17:493-498, doi:10.1144/GSL.SP.1984.017.01.36 --- Robert Hall, M. G. Audley-Charles, and D. J. Carter: The significance of Crete for the evolution of the Eastern Mediterranean / Geological Society, London, Special Publications, 17:499-516, doi:10.1144/GSL.SP.1984.017.01.37 --- Michel Bonneau: Correlation of the Hellenide nappes in the south-east Aegean and their tectonic reconstruction / Geological Society, London, Special Publications, 17:517-527, doi:10.1144/GSL.SP.1984.017.01.38 --- M. Okrusch, P. Richter