ALBERT

Note: Contents Part I Introduction to the Central Nervous System 1 Introduction to the Central Nervous System 1.1 The Neuron 1.2 The Nervous System 1.2.1 Peripheral Nervous System (Fig. 1.3) 1.2.2 Central Nervous System Bibliography 2 Neurocytology: Cells of the CNS 2.1 The Neuron 2.1.1 Dendrites 2.1.2 Soma 2.1.3 Golgi Type I and II Neurons 2.1.4 Dendritic Spines (Fig. 2.2) 2.1.5 Nucleus 2.1.6 Neuronal Cytoskeleton 2.1.7 Microtubules and Axoplasmic Flow 2.1.8 Neurofibrillary Tangles 2.2 Synapse 2.2.1 Synaptic Structure 2.2.2 Synaptic Types 2.2.3 Synaptic Transmission 2.2.4 Neurotransmitters (Table 2.3) 2.2.5 Modulators of Neurotransmission 2.2.6 Synaptic Vesicles (Fig. 2.16) (Table 2.4) 2.2.7 Effectors and Receptors 2.3 Supporting Cells of the Central Nervous System 2.3.1 Astrocytes (Figs. 2.6 and 2.14; Table 2.7) 2.3.2 Oligodendrocytes (Fig. 2.9) 2.3.3 Endothelial Cells 2.3.4 Mononuclear Cells: Monocytes and Microglia 2.3.5 Ependymal Cells (Fig. 2.20) 2.3.6 Supporting Cells in the Peripheral Nervous System 2.4 Response of the Nervous System to Injury 2.4.1 Degeneration 2.5 Regeneration 2.5.1 Peripheral Nerve Regeneration 2.5.2 Regeneration in the Central Nervous System 2.5.3 Neurogenesis in the Adult Brain Stem 2.5.4 Nerve Growth Factors (NGF) 2.5.5 Glial Response to Injury 2.6 Blood–Brain Barrier 2.6.1 Blood–Brain Barrier (Fig. 2.24) 2.6.2 Extracellular Space Specific References 3 Neuroembryology and Congenital Malformations 3.1 Formation of the Central Nervous System 3.2 Histogenesis 3.2.1 Repair of Damaged Nervous System 3.2.2 Growth Cone Guidance 3.2.3 Programmed Cell Death (PCD): Apoptosis 3.2.4 Neuronal Death 3.2.5 Development of Blood Vessels in the Brain 3.2.6 Ventricular System 3.2.7 Formation of Peripheral Nervous System 3.2.8 Spinal Cord Differentiation 3.3 Brain Differentiation 3.3.1 Rhombencephalon (Hindbrain) 〉 Pons, Medulla, and Cerebellum 3.3.2 Mesencephalon 〉 Adult Midbrain 3.3.3 Prosencephalon 〉 Cerebral Hemispheres and Diencephalon 3.3.4 Diencephalon 3.3.5 Cranial Nerves 3.3.6 Telencephalon 3.3.7 Primary Sulci 3.3.8 Development of the Cerebral Cortex 3.4 Prenatal Development of the Cerebral Cortex 3.5 Changes in the Cortical Architecture as a Function of Postnatal Age 3.6 Abnormal Development 3.6.1 Malformations Resulting from Abnormalities in Growth and Migration with Incomplete Development of the Brain 3.6.2 Genetically Linked Migration Disorders 3.6.3 Environmentally Induced Migration Disorder: Fetal Alcohol Syndrome 3.6.4 Malformations Resulting from Chromosomal Trisomy and Translocation 3.6.5 Malformations Resulting from Defective Fusion of Dorsal Structures 3.6.6 Malformations Characterized by Excessive Growth of Ectodermal and Mesodermal Tissue Affecting the Skin, Nervous System, and Other Tissues 3.6.7 Cutaneous Angiomatosis with Associated Malformations of the Central Nervous System 3.6.8 Malformations Resulting from Abnormalities in the Ventricular System Bibliography 4 Spinal Cord 4.1 Gross Anatomy 4.1.1 Spinal Cord: Structure and Function 4.1.2 Nerve Roots 4.1.3 Gray Matter 4.2 Interneurons 4.3 Central Pattern Generators 4.4 Segmental Function 4.4.1 Motor/Ventral Horn Cells 4.4.2 Sensory Receptors 4.4.3 Stretch Receptors 4.5 Nociception and Pain 4.5.1 Modulation of Pain Transmission 4.6 White Matter Tracts 4.6.1 Descending Tracts in the Spinal Cord 4.6.2 Ascending Tracts in the Spinal Cord 4.6.3 The Anterolateral Pathway 4.7 Upper and Lower Motor Neurons Lesions 4.7.1 Upper Motor Neuron Lesion (UMN) 4.7.2 Lower Motor Neuron Lesion 4.8 Illustrative Spinal Cord Case Histories 4.9 Illustrative Non-spinal Cord Cases with Involvement of Specific Peripheral Nerves: Case Histories 4.8–4.10 4.10 Carpal Tunnel Syndrome Bibliography 5 Brain Stem: Gross Anatomy 5.1 Gross Anatomical Divisions 5.1.1 Sites of Transition 5.2 Relationship of Regions in the Brain to the Ventricular System: Fig. 5.2 5.3 Gross Anatomy of Brain Stem and Diencephalon 5.3.1 Anterior Surface of Gross Brain Stem: Fig. 5.3 5.3.2 Posterior Surface of Brain Stem and Diencephalon: Fig. 5.4 5.4 Arterial Blood Supply to the Brain Stem and Diencephalon (Fig. 5.5) 5.4.1 Medulla 5.4.2 Pons 5.4.3 Midbrain 5.4.4 Diencephalon Bibliography 6 Brain Stem Functional Localization 6.1 Introduction to the Brain Stem 6.2 Differences Between the Spinal Cord and Brain Stem 6.3 Functional Localization in Brain Stem Coronal Sections and an Atlas of the Brain Stem 6.3.1 Medulla 6.3.2 Pons-Blood Supply: Basilar Artery and Its Branches 6.3.3 Midbrain Blood Supply: Basila Arrteraynd Posterio Crerebral Arteries 6.4 Midbrain Tectum 6.5 Midbrain Tegmentum 6.6 Superior Colliculus 6.6.1 Midbrain Tegmentum 6.6.2 Blood Supply: Posterior Cerebral Arteries 6.7 Superior Colliculus Tectum 6.8 Superior Colliculus Tegmentum 6.8.1 Superior ColliculusVentricular Zone 6.9 Functional Centers in the Brain Stem 6.9.1 Reticular Formation 6.9.2 Respiration Centers 6.9.3 Cardiovascular Centers 6.9.4 Deglutition 6.9.5 Vomiting 6.9.6 Emetic Center 6.9.7 Coughing 6.9.8 Taste 6.10 Localiozation of Dysfunction in the Cranial Nerves Associated with the Eye (Table 6.8) 6.11 Localization of Disease Processes in the Brain Stem 6.11.1 Exercise to Identify the Tracts and Nuclei in the Brain Stem (Figs. 6.10–6.14) Bibliography 7 The Cranial Nerves 7.1 How the Cranial Nerves Got Their Numbers 7.2 Functional Organization of Cranial Nerves 7.3 The Individual Cranial Nerves 7.3.1 Cranial Nerve I, Olfactory (Fig. 7.4), Special Sensory/Special Visceral Afferent 7.3.2 Cranial Nerve II, Optic (Fig. 7.5), Special Somatic Sensory 7.3.3 Cranial Nerve III, Oculomotor (Fig. 7.6), Pure Motor (Somatic and Parasympathetic, Only III) 7.3.4 Cranial Nerve IV, Trochlear (Fig. 7.6), Pure Motor 7.3.5 Cranial Nerve VI, Abducens (Fig. 7.6), Pure Motor 7.3.6 Cranial Nerve V, Trigeminal (Fig. 7.7), Mixed Nerve (Sensory and Motor but No Parasympathetic) 7.3.7 Cranial Nerve VII, Facial (Fig. 7.8), Mixed Nerve (Sensory, Motor, Parasympathetic) 7.3.8 Cranial Nerve VIII, Vestibulocochlear (Fig. 7.9), Pure Special Somatic Sensory 7.4 Auditory Pathway 7.4.1 Cranial Nerve IX, Glossopharyngeal (Fig. 7.13), Mixed (Sensory, Motor, Parasympathetic): Nerve to Third Pharyngeal Arch 7.4.2 Cranial Nerve X, Vagus (Fig. 7.14), Mixed (Sensory, Motor, Parasympathetic), and Longest Cranial Nerve 7.4.3 Cranial Nerve XI, Spinal Accessory (Fig. 7.15), Pure Motor: Somatic and Visceral 7.4.4 Cranial Nerve XII, Hypoglossal (Fig. 7.16): Pure Motor Nerve 7.5 Cranial Nerve Dysfunction 7.6 Cranial Nerve Case Histories Bibliography 8 Diencephalon 8.1 Overview 8.2 Functional Organization of Thalamic Nuclei (Table 8.1) 8.2.1 Sensory and Motor Relay Nuclei: The Ventrobasal Complex and Lateral Nucleus 8.2.2 Limbic Nuclei: The Anterior, Medial, Lateral Dorsal, Midline, and Intralaminar Nuclei (Fig. 8.4) 8.2.3 Specific Associational: Polymodal/Somatic Nuclei, the Pulvinar Nuclei (Fig. 8.5) 8.2.4 Special Somatic Sensory Nuclei: Vision and Audition, the Lateral Geniculate and Medial Geniculate Nuclei of the Metathalamus (Fig. 8.5): The Special Somatic Sensory Cranial Nerves Are Cranial Nerves II and VIII 8.2.5 Nonspecific Associational 8.3 White Matter of the Diencephalon 8.4 Relationship Between the Thalamus and the Cerebral Cortex (Figs. 8.7 and 8.8) 8.5 Subthalamus (Fig. 8.3) 8.6 Thalamic Atlas Figs. 8.10, 8.11, and 8.12 8.7 Level: Midbrain, Diencephalic Junction (Fig. 8.10) 8.8 Level: Midthalamus (Fig. 8.11) 8.9 Level: Anterior Tubercle of Thalamus (Fig. 8.12) Bibliography 9 Hypothalamus, Neuroendocrine System, and Autonomic Nervous System 9.1 Hypothalamus 9.1.1 Hypothalamic Nuclei 9.1.2 Afferent Pathways 9.1.3 Efferent Pathways (Fig. 9.6) 9.1.4 Functional Stability 9.2 Neuroendocrine System, the Hypothalamus, and Its Relation to the Hypophysis 9.2.1 Hypophysis Cerebri 9.2.2 Hypothalamic–Hypophyseal Portal System 9.2.3 Hypophysiotrophic Area 9.2.4 Hormones Produced by Hypothalamus 9.2.5 Hormones Produced in Adenohypophysis (Fig. 9.12) 9.2.6 Case 9.1 9.2.7 Hypothalamus and the Autono

Note: Contents 1 Curves, Maps and Hotspots: The Diversity and Distribution of Araneomorph Spiders in the Neotropics / Adalberto J. Santos, Antonio D. Brescovit, Márcia de Oliveira-Tomasi, Philip Russo, and Ubirajara Oliveira 2 Behavior and Biology of Mygalomorphae / Fernando Pérez-Miles and Carlos Perafán 3 Neotropical Arachnological Collections: Basic Tools for the Development of Spider Research / Antonio D. Brescovit, Oscar Francke, Álvaro Laborda, Griselda Montiel Parra, Cristina Scioscia, Miguel Simó, and Carlos Víquez Núñez 4 Habitat Selection and Dispersal / Dinesh Rao 5 Dispersal Strategies, Genetic Diversity, and Distribution of Two Wolf Spiders (Araneae, Lycosidae): Potential Bio-Indicators of Ecosystem Health of Coastal Dune Habitats of South America / Leticia Bidegaray-Batista, Miquel Arnedo, Ana Carlozzi, Carolina Jorge, Patricio Pliscoff, Rodrigo Postiglioni, Miguel Simó, and Anita Aisenberg 6 Webs: Diversity, Structure and Function / Sean J. Blamires, Shichang Zhang, and I-Min Tso 7 Spider–Plant Interactions: An Ecological Approach / João Vasconcellos-Neto, Yuri Fanchini Messas, Hebert da Silva Souza, German Antonio Villanueva-Bonila, and Gustavo Quevedo Romero 8 Spiders as Plant Partners: Complementing Ant Services to Plants with Extrafloral Nectaries / Kleber Del-Claro, Vanessa Stefani, Larissa Nahas, and Helena Maura Torezan-Silingardi 9 Foraging Strategies of Cursorial and Ambush Spiders / Rodrigo H. Willemart and Mariángeles Lacava 10 Trophic Niches and Trophic Adaptations of Prey-Specialized Spiders from the Neotropics: A Guide / Stano Pekár, Luis Fernando García, and Carmen Viera 11 Spiders Associated with Agroecosystems: Roles and Perspectives / Marco Antonio Benamú, Mariángeles Lacava, Luis Fernando García, Martín Santana, and Carmen Viera 12 Sexual Selection in Neotropical Spiders: Examples from Selected Groups / Luiz Ernesto Costa-Schmidt, María José Albo, Fedra Bollatti, Franco Cargnelutti, Lucía Calbacho-Rosa, Sofía Copperi, Nelson Ferretti, Matías Izquierdo, and Alfredo V. Peretti 13 Parental Care and Sociality / Carmen Viera and Ingi Agnarsson 14 Plasticity and Cognition in Spiders / Hilton F. Japyassú 15 Anti-Predator Strategies / Felipe M. Gawryszewski 16 Host Behavioural Manipulation of Spiders by Ichneumonid Wasps / Marcelo O. Gonzaga, Thiago G. Kloss, and Jober F. Sobczak

Note: Contents Part I Setting the Scene The Anthropocene—What Does It Entail for Science? / Gesche Krause The Role of Knowledge Exchange in Earth System Science—The Earth System Knowledge Platform (ESKP) / Gesche Krause, Ute Münch, Jana Kandarr, Oliver Jorzik and Pia Klinghammer The AWI Approach at the Science-Stakeholder Interface / Gesche Krause, Klaus Grosfeld and Wolfgang Hiller Part II Dialogue Approaches of ESKP Contributions to AWI Knowledge Transfer Regional Awareness on Sea Level Rise Effects—What Do We Know About the South-Eastern North Sea Coast? / Nina Eschweiler, Tobias Dolch and Christian Buschbaum Climate Change and Biodiversity—Implications for the Local Fisheries Sector / Christina Hörterer, Maximilian Schupp, Andreas Benkens and Bela H. Buck Linking Biodiversity Research Communities / Sonja Knapp, Alexandra Kraberg, Stephan Frickenhaus, Stefan Klotz, Oliver Schweiger and Gesche Krause Engaging Forecast Users During the Year of Polar Prediction / Winfried Hoke, Kirstin Werner, Helge Goessling and Thomas Jung Governance of Resources for Arctic Sustainable Policy and Practice (GRASP)—Stakeholder Mapping / Sebastian Knecht, Andreas Herber and Kathrin Stephen Building Bridges at the Arctic Science-Policy Interface / Volker Rachold Part III Data-Products of ESKP Contributions to AWI Knowledge Transfer The Web Portal ‘meereisportal.de’ in Context of ESKP / Klaus Grosfeld, Renate Treffeisen, Jölund Asseng and Georg Heygster Knowledge Transfer by the Global Terrestrial Network for Permafrost (GTN-P) / Boris K. Biskaborn and Hugues Lantuit A Web-Based Information System for Macrobenthic Biodiversity in the German North Sea / Jan M. Holstein Tackling Marine Litter—LITTERBASE / Melanie Bergmann, Mine B. Tekman, Andreas Walter and Lars Gutow Part IV Modelling Approaches of ESKP Contributions to AWI Knowledge Transfer Arctic Sea Ice Change, Large-Scale Atmospheric Circulation Patterns and Extreme Climate and Weather in Europe / Ralf Jaiser and Dörthe Handorf Extending and Visualizing the TsunAWI Simulation Database of the Indonesia Tsunami Early Warning System (InaTEWS) / Antonia Immerz, Sven Harig and Natalja Rakowsky Streamflow Forecasting and Biodiversity / Monica Ionita, Madlene Pfeiffer and Stephan Frickenhaus Part V Pathways to Formalizing Knowledge Transfer Accompanying ESKP Projects—Development of a Process Assessment Strategy Within ESKP@AWI / Gesche Krause and Maximilian Felix Schupp Science and Society—The Time to Interact / Gesche Krause, Klaus Grosfeld and Annette Breckwoldt Erratum to: A Web-Based Information System for Macrobenthic Biodiversity in the German North Sea / Jan M. Holstein

Note: Contents 1 General Chemical Concepts Introduction Periodic Table and Element Groups Chemical Bonding Chemical Reactions, Stoichiometry, and Kinetics Equilibrium, Steady-State, and Residence Time General Concepts of Organic Chemistry Aqueous Solubility and Polarity Diffusion and Osmotic Potential Freezing Exclusion and Concentration of Solutes Defining Dissolved and Particulate Phases SI Units and Concentrations Ionic Charge Balance Stable Isotope Chemistry 2 Soil Biogeochemistry Introduction Soil Formation and Pedogenesis Soil Classification Soil Texture and Coarse Fragments Soil Moisture Mineralogy Physical-Chemical Features of Clays and Other Soil Colloids Clay Colloids Humic Colloids Chemical Processes in Soils Ion Exchange and Adsorption in Soils Soil Ion Exchange Chemistry and Base Saturation Acidification Complexation Leaching Dissolution and Precipitation Reactions Comparative Analysis of Soil Chemical Properties Soil Exchange Chemistry Soil Distributions of Aluminum Vertical Distributions of Organic Carbon, Nitrogen, and Phosphorus in Soils Forms of Organic Nitrogen in Soils Patterns of Soil Solution Chemistry Integrated Processes of Nutrient Supply and Storage in Soils 3 Microbial Biogeochemistry Introduction Redox Conditions Microbial Nitrogen Transformations Nitrogen Fixation Mineralization or Ammonification Nitrogen Immobilization Nitrification Denitrification Dissimilatory Nitrate Reduction to Ammonium (DNRA) Assimilatory Nitrate Reduction Microbial Sulfur Transformations Mineralization of Organic Sulfur Anaerobic Dissimilatory Sulfate Reduction Assimilatory Sulfate Reduction Microbial Carbon Transformations Fermentation Methane Production Organic Acid Synthesis by Microbes Microbial Processes that Contribute to Bioremediation or Metal Transformations 4 Plant Biogeochemistry Introduction General Plant Chemistry Plant Functional Morphology and Growth Allocation Aboveground Structure and Function Belowground Structure and Function of the Root System Growth Allocation and Root:Shoot Relationships Carbon Fixation, Metabolism, and Plant Production Photosynthesis and Nutrients Photosynthesis and Water Respiration and Metabolism Exchange of Carbon Dioxide in a Forest Ecosystem Energy Budgets and Primary Production Whole-Plant Carbon Cycling and Allocation Metabolic Allocation to Plant Defense Plant Nutrient Cycling Plant Nutrient Absorption Implications of Nutrient Uptake for Acid-Base Chemistry Plant Transport or Translocation of Nutrients Plant Nutrient Resorption Detrital Cycling of Plant Nutrients Plant Canopy Processes Affecting Element Cycling NUE as an Index of Plant Nutrition and Nutrient Cycling Nutrient Limitation Effects of Chemical Stress on Plants Effects of Acidic Deposition on Plant Membrane-Bound Calcium Aluminum Antagonism and Toxicity Stress Plant Responses to Ozone Stress 5 Cycling of Organic Matter Introduction Ecosystem Perspective Storage of Organic Matter in Forest Soils, Biomass, and Woody Debris Soil Organic Matter and Soil Carbon Storage Forest Floor Storage Turnover Rates and Age of Soil Organic Matter Reservoirs Influence of Land Management and Disturbance on SOM Aboveground and Belowground Biomass Coarse Woody Debris Transfers of Organic Matter in Detritus and Solution Aboveground Litterfall Belowground Detrital Inputs From Root Mortality and Turnover Solution Transfers of DOM Decomposition of Organic Matter General Processes of Decomposition Wood Decay Processes Decomposition Rates and Decay Constants Element Cycling Patterns in Decaying Organic Matter Substrate Controls on Decomposition Environmental Controls on Decomposition Biological Influences on Decomposition Transfers of CO2 in the Organic Matter Budget of a Forest Ecosystem 6 Atmospheric Deposition Introduction Atmospheric Chemistry Deposition Processes and Patterns Atmospheric Emissions and Deposition of Sulfur and Nitrogen Measurement and Analysis of Atmospheric Deposition Wet Deposition Dry Deposition Analysis of Precipitation Chemistry Environmental Patterns of Precipitation Chemistry and Atmospheric Deposition Daily Patterns Monthly Patterns Multi-year Trends in Precipitation Chemistry Long-Term Historical Trends in Atmospheric Deposition of Mercury Spatial Patterns: Deposition in North America Spatial Patterns: Influence of Vegetation and Canopy Structure on Atmospheric Deposition Spatial Patterns: Comparison of Atmospheric Deposition at Different Forest Sites Modeling Atmospheric Deposition Patterns A Case Study of Deposition Inputs to a Forest Ecosystem 7 Mineral Weathering Introduction Ecosystem Context Mineral Weathering Processes Heterogeneous Mineral Weathering at Different Scales Controls on Mineral Weathering Rates Mineralogical Controls Influence of Acidity and Complexing Ligands on Weathering Rates Experimental Effects of Acidity on Weathering Rates Physical Influences on Weathering Rates Biotic Influences on Mineral Weathering Rates Influence of Mineral Dissolution on the Solution Chemistry of Natural Waters Genesis and Weathering of Clays Methods of Estimating Weathering Contributions to Ecosystem Element Budgets Mass Balance Estimation Element Tracers as Indicators of Weathering Rates Weathering Estimation with Mineral Depletion Techniques Comparison of Weathering Estimates Comparison of Weathering in Different Ecosystems 8 Watershed Hydrology Ecosystem and Landscape Perspectives Influence of Geology and Soils on Storage and Movement of Water Soil Hydrologic Properties Water Movement and Streamflow Generation in a Watershed Inferring Stream Hydrology from Stream Chemistry in Small Watersheds Water Balance of a Watershed Ecosystem Measurement Techniques for Ecosystem Water Budgets Components of a Water Budget: Precipitation Inputs Components of a Water Budget: Evapotranspiration (ET) Components of a Water Budget: Hydrologic Storage Components of a Water Budget: Stream Runoff Integrated Analysis of a Water Budget 9 Aqueous Chemistry Introduction An Example of Soil Solution Chemistry: Analysis and Interpretation General Concepts of Aqueous Chemistry Sample Collection and Analysis Selection of Analytical Parameters Alkalinity or Acid Neutralizing Capacity (ANC) Acidity and pH Conductivity Ionic Strength and Ion Activity Influence of Temperature on Solution Equilibria Hydrolysis and Chemical Speciation as a Function of pH Rate-Limited Versus Equilibrium Conditions Differential Anion Mobility Effects of Ecosystem Processes on Solution Chemistry Case Studies: Analysis and Interpretation of Aqueous Chemistry in Natural Waters Controls on the Chemistry of Forest Floor Leachates Comparison of Stream Chemistry Along a Hydrologic Flow Gradient Changes in Solution Chemistry and ANC Generation Along a Watershed Drainage Gradient Effects of Land Use on Watershed Exports of Nutrients in Stream Runoff 10 Integrated Element Cycling Introduction General Concepts of Element Cycling Terminology Comparison of Element Cycles in Terrestrial Ecosystems Nitrogen Cycle Calcium Cycle Aluminum Cycle Nutrient Cycling in Relation to Ecosystem Succession Chemical Input-Output Budgets for Watershed Ecosystems Element Cycling at the Landscape Scale: Exports of N and P from Large Watersheds Element Cycling at the Global Scale Global Nitrogen Cycle Global Carbon Cycle 11 Biogeochemical Models Introduction Considerations in the Development of a Biogeochemical Model Steps in Building a Biogeochemical Model An Introductory Model of Watershed Nitrogen Cycling Applications of Biogeochemical Models TREGRO: A Model to Simulate Plant Responses to Interacting Stresses TEM: A Global Model of Net Primary Productivity The CENTURY Soil Organic Matter Model PnET-BGC: An Integrated Biogeochemical Model Watershed Acidification Models Nutrient Cycling Models Models in Watershed Hydrology 12 Ecosystem Disturbance and Stress Introduction Disturbance and Recovery in the Context of Ecological Succession Effects of Forest Harvesting on Watershed Ecosystems Twenty Years of Recovery Following H

Note: Contents 1 Artificial Neural Network 1.1 Network Architectures 1.1.1 Multilayer Feedforward Networks 1.1.2 Recurrent Networks 1.2 Perceptrons 1.2.1 Rosenblatt’s Perceptron 1.2.2 Multilayer Perceptron 1.3 Linear Network and Bayes Classifier 1.4 Radial Basis Function Network 1.4.1 Radial Basis Function 1.4.2 Interpolation 1.4.3 Receptive Field 1.5 Generalized Regression Network 1.6 Self-organizing Network 1.6.1 Kohonen Self-organizing Map Network 1.6.2 Learning Vector Quantization Network 1.7 Hopfield Network 1.7.1 Continuous Hopfield Network 1.7.2 Discrete Hopfield Network Further Reading 2 Multivariate Harmonic Analysis 2.1 Fourier Transform 2.2 Discrete Fourier Transform 2.3 Discrete Cosine/Sine Transform 2.3.1 Four Forms of DCTs 2.3.2 Four Forms of DSTs 2.4 Filtering 2.5 Fractional Fourier Transform 2.5.1 Continuous FRFT 2.5.2 Discrete FRFT 2.5.3 Multivariate FRFT 2.6 Space–Frequency Distribution 2.6.1 Multivariate Windowed Fourier Transform 2.6.2 General Form 2.6.3 Popular Distributions 2.7 Multivariate Interpolation 2.7.1 Multivariate Polynomial Interpolation 2.7.2 Schoenberg Interpolation 2.7.3 Micchelli Interpolation 2.7.4 Interpolation on Spheres 2.8 Sparse Approximation 2.8.1 Approximation Kernels 2.8.2 Sparse Schemes 2.8.3 Greedy Algorithm 2.9 Spherical Harmonics 2.9.1 Spherical Harmonic Functions 2.9.2 Invariant Subspace under Fourier Transform 2.10 Harmonic Analysis on General Domains 2.10.1 Symmetric Kernels 2.10.2 Smooth Extensions and Approximation 2.11 Harmonic Analysis on Graphs 2.11.1 The Laplacian of a Graph 2.11.2 Eigenvalues and Eigenfunctions 2.11.3 Fourier Expansions Further Reading 3 Multivariate Wavelets 3.1 Multiresolution Analysis 3.1.1 Structure of MRA 3.1.2 Scaling Functions 3.2 Multivariate Orthogonal Wavelets 3.2.1 Separable Wavelets 3.2.2 Non-separable Wavelets 3.2.3 p-Band Wavelets 3.3 Biorthogonal Wavelets 3.3.1 Univariate Biorthogonal Wavelets 3.3.2 Multivariate Biorthogonal Wavelets 3.3.3 p-Band Biorthogonal Wavelets 3.3.4 Semi-orthogonal Wavelets 3.4 Wavelets on Domains 3.4.1 Continuous Extension 3.4.2 Wavelet Expansion 3.5 Discrete Wavelet Transforms 3.5.1 Discrete Orthogonal Wavelet Transforms 3.5.2 Discrete Biorthogonal Wavelet Transforms 3.5.3 Discrete Biorthogonal Periodic Wavelets Transforms 3.5.4 Discrete Harmonic Wavelet Transforms 3.6 Wavelet Packets 3.6.1 Continuous Wavelet Packets 3.6.2 Discrete Wavelet Packets 3.7 Wavelet Variance 3.7.1 Generalized Wavelet Decomposition 3.7.2 Maximal Overlap Discrete Wavelet Transform 3.7.3 Wavelet Variance 3.8 Significant Tests 3.8.1 Haar Wavelet Analysis 3.8.2 Morlet Wavelet Analysis 3.9 Wavelet Threshold and Shrinkage 3.9.1 Wavelet Threshold 3.9.2 Wavelet Shrinkage 3.9.3 Minimax Estimation 3.9.4 Adaptive Denoising Algorithm 3.10 Shearlets, Bandelets, and Curvelets 3.10.1 Shearlets 3.10.2 Bandelets 3.10.3 Curvelets Further Reading 4 Stochastic Representation and Modeling 4.1 Stochastic Processes 4.1.1 Vector Stochastic Processes 4.1.2 Gaussian, Markov, and Wiener Processes 4.2 Stationarity and Trend Tests 4.2.1 Stationarity Tests 4.2.2 Trend Tests 4.3 Patterns and Classification 4.3.1 Principal Component Analysis 4.3.2 Factor Analysis 4.3.3 Cluster Analysis 4.3.4 Discriminant Analysis 4.3.5 Canonical Correlation Analysis 4.4 Multidimensional Scaling 4.5 Vector ARMA Processes 4.5.1 Vector MA(q) Processes 4.5.2 Vector AR(p) Processes 4.5.3 Vector ARMA(p, q) Processes 4.6 Monte Carlo Methods 4.7 Black–Scholes Models 4.8 Stochastic Optimization Further Reading 5 Multivariate Spectral Analysis 5.1 Power Spectral Density 5.2 Periodogram and Correlogram 5.2.1 Algorithms 5.2.2 Bias Analysis 5.2.3 Variance Analysis 5.3 Blackman–Tukey Method 5.3.1 Blackman–Tukey Estimator 5.3.2 Several Common Windows 5.3.3 Positive Semidefinite Window 5.4 Welch Method 5.5 Multitaper Method 5.6 Maximum Entropy Method 5.7 Rational Spectral Estimation 5.8 Discrete Spectral Estimation 5.9 Vector ARMA Spectrum 5.10 Multichannel Singular Spectrum Analysis Further Reading 6 Climate Modeling 6.1 Greenhouse Gases 6.2 Impacts and Feedback of Climate Change 6.3 Framework of Climate Models 6.3.1 Basic Physical Laws Used in Climate Models 6.3.2 Discretization and Parameterization 6.3.3 The Hierarchy of Climate Models 6.4 Coupled Model Intercomparison Project Further Reading 7 Regional Climate Change 7.1 Middle East and Mediterranean Region 7.1.1 Precipitation 7.1.2 Air Temperature 7.1.3 Climate Modeling 7.1.4 Desert Dust 7.1.5 Water Resources 7.1.6 Soil Temperature 7.2 Asia-Pacific Region 7.2.1 Tibetan Plateau 7.2.2 El Niño–Southern Oscillation 7.2.3 Indian Monsoon 7.2.4 Modeling Sea Surface Temperature 7.3 Arctic Region 7.3.1 Sea Ice 7.3.2 Permafrost Carbon Further Reading 8 Ecosystem and Carbon Cycle 8.1 Terrestrial Ecosystems 8.1.1 Terrestrial Hydrologic Cycle 8.1.2 Photosynthesis 8.1.3 Gross and Net Primary Production 8.1.4 Net Ecosystem Production 8.1.5 Terrestrial Nutrient Cycle 8.2 Ocean Ecosystems 8.2.1 Solubility and Air–Sea Gas Exchange 8.2.2 Oceanic Carbon Sink 8.2.3 Compounds in Seawater 8.2.4 Biogeochemical Cycles Further Reading 9 Paleoclimate Proxies 9.1 Tree-Rings 9.1.1 Field Works 9.1.2 Statistical Analysis 9.2 Ice Cores 9.2.1 Ice and Isotopes 9.2.2 Ice Core Samples 9.3 Speleothems 9.3.1 Oxygen Isotope Ratio 9.3.2 Carbon Isotope Ratio 9.3.3 Hydrogen Isotope Ratio Further Reading 10 Strategies for Climate Change Mitigation 10.1 Assessment Methods and Tools 10.1.1 Data Envelopment Analysis 10.1.2 Risk Assessment 10.1.3 Life Cycle Assessment 10.2 Carbon Emissions Reduction 10.2.1 Industrial Sector 10.2.2 Agriculture Sector 10.2.3 The Building Sector 10.2.4 The Transportation Sector 10.2.5 The Household Sector 10.2.6 Low-Carbon Energy 10.3 Carbon Capture, Transport, Utilization, and Storage 10.3.1 Carbon Capture 10.3.2 Transport of CO2 10.3.3 Geological Storage of CO2 10.3.4 Utilization of CO2 10.4 Geoengineering 10.4.1 Space-Based Geoengineering 10.4.2 Atmosphere-Based Geoenginnering 10.4.3 Land-Based Geoengineering 10.4.4 Ocean-Based Geoengineering 10.4.5 Conclusions Further Reading

Note: Contents 1 Research and Open Questions—A Modern Concept Behind Berlins T.rex Presentation of Tristan Otto / Uwe Moldrzyk and Linda Gallé 2 Scientific Methods of Geological and Paleontological Collections and Trends in Paleontological Investigation and Research / Cathrin Hühne 3 BAMBERG: The Paleontological Collection at the Museum of Natural History in Bamberg (NKMB) / Matthias Mäuser 4 BASEL: The Natural History Museum Basel (NMB) / Walter Etter, Michael Knappertsbusch, and Loïc Costeur 5 BERLIN: The Palaeontological Collections of the Museum für Naturkunde Berlin / Christian Neumann, Stephan Schultka, and Florian Witzmann 6 BERN: The Natural History Museum — An Institution of the Burgergemeinde of Bern / Ursula Menkveld-Gfeller 7 BIELEFELD: Not Worth Mentioning? Paleontological Collections of Small Museums: The Example of Bielefeld (North Rhine Westphalia, Germany) / Mark Keiter and Sven Sachs 8 BILZINGSLEBEN: The Bilzingsleben Collection / Clemens Pasda 9 The Paleontological Collection of the State Museum of Natural History (SNHM) in Braunschweig, Germany / Ralf Kosma 10 BREMEN: The Paleontological Research Collection of the Geosciences Collection of the University of Bremen / Jens Lehmann 11 CHEMNITZ: Back to the Roots of Palaeobotany—Chemnitz and its Palaeontological Collection / Ronny Rößler and Thorid Zierold 12 COBURG: Naturkunde-Museum Coburg—Paleontological Collections / Eckhard Mönnig 13 COTTBUS: Museum of Natural History and Environment in Cottbus / Rolf Striegler and Ursula Striegler 14 DARMSTADT: The Paleontological Collections of Hessisches Landesmuseum Darmstadt / Gabriele Gruber, Oliver Sandrock, and Torsten Wappler 15 DESSAU-ROSSLAU: Museum of Natural History and Prehistory—Paleontological Collection / Angelika Hesse 16 DORTMUND: Museum für Naturkunde der Stadt Dortmund / Jan-Michael Ilger and Oliver Adrian 17 DOTTERNHAUSEN: The Jurassic World of the Swabian Alb Region (South Germany): The Fossil Collection of the Werkforum and Fossil Museum of Dotternhausen / Annette Schmid-Röhl 18 EICHSTÄTT: The Jura-Museum Eichstätt / Martina Kölbl-Ebert 19 ERLANGEN: The Erlangen Paleobiology Collections / Wolfgang Kiessling, Michael Heinze, and Cristina Krause 20 ESSEN: Ruhr Museum—Geological Collection / Ulrike Stottrop, Udo Scheer, and Esther Guderley 21 FRANKFURT/DRESDEN/GÖRLITZ: Palaeontological collections of the Senckenberg Gesellschaft für Naturforschung / Dieter Uhl, Lutz Kunzmann, Christine Hertler, Ralf-Dietrich Kahlke, John-Albrecht Keiler, Peter Königshof, Ottmar Kullmer, Stephan Schaal, Krister Smith, Mónica M. Sólorzano Kraemer, Martina Stebich, Olaf Tietz, and Markus Wilmsen 22 FRICK: Late Triassic Basal Sauropodomorph and Theropod Dinosaurs at the Sauriermuseum Frick, Switzerland / Andrea B. Oettl-Rieser and Marion Zahner 23 GOTHA: Museum der Natur, Stiftung Schloss Friedenstein Gotha / Oliver Wings and Carsten Eckert 24 GÖTTINGEN: The Palaeontological Collections of the Geoscience Museum at the Georg-August University in Göttingen / Alexander Gehler, Mike Reich, and Joachim Reitner 25 HALLE: The Geiseltal Collection of Martin Luther University, Halle-Wittenberg / Frank D. Steinheimer and Alexander K. Hastings 26 HALLE: The Palaeontological Collection of the Martin Luther University Halle-Wittenberg in Halle (Saale) / Norbert Hauschke 27 HAMBURG: Palaeontological Collections of the Center of Natural History, Universität Hamburg / Ulrich Kotthoff and Jochen Schlüter 28 HANNOVER/BERLIN: The Geoscientific Collections of the Federal Institute for Geosciences and Natural Resources and the State Authority for Mining, Energy and Geology in Hannover and Berlin / Angela Ehling and Carmen Heunisch 29 HANNOVER: Niedersächsisches Landesmuseum Hannover—Lower Saxony State Museum Hannover / Annette Richter and Annina Böhme 30 HILDESHEIM: Roemer- and Pelizaeus-Museum / Jürgen Vespermann 31 HOLZMADEN: Prehistoric Museum Hauff—A Fossil Museum Since 4 Generations—(Urweltmuseum Hauff) / Rolf Bernhard Hauff and Ulrich Joger 32 INGELFINGEN: Muschelkalkmuseum Hagdorn Stadt Ingelfingen / Hans Hagdorn 33 JENA: The Palaeontological Collections at the Phyletisches Museum in Jena / Dietrich von Knorre and Rolf G. Beutel 34 MAUER: The Locality of Mauer and its Virtual Collection of Middle Pleistocene Mammal Fossils / H. Dieter Schreiber, Kristina Eck, and Volker Liebig 35 KÖLN: Geological Collections of the University of Cologne (GCC) (Geological and Palaeontological Collections of the Institute of Geology and Mineralogy, University of Cologne) / Michael R. W. Amler and Hans-Georg Herbig 36 KREFELD: Palaeobotanical and Palynological Collection at the Geological Survey North Rhine-Westphalia / Christoph Hartkopf-Fröder 37 LINZ: The Paleontological Collection of the Upper Austrian State Museum, Linz / Björn Berning 38 LÜBECK: Museum of Nature and Environment, Paleontological Collections / Susanne Füting 39 MAINZ: Paleontological Collections of the University of Mainz (Geoscientific Collections) / Kirsten I. Grimm and Bernd R. Schöne 40 MAINZ: Palaeontological Collections of the Landesamt für Geologie Und Bergbau Rheinland-Pfalz (Rhineland-Palatinate, Germany) / Jürgen Gad, Winfried Kuhn, and Peter Schäfer 41 The Reiss-Engelhorn-Museen / Doris Döppes and Wilfried Rosendahl 42 MARBURG: GeoArchive Marburg (Geological and Palaeontological Collections of the Former Faculty of Geosciences, Philipps University of Marburg) / Michael R. W. Amler, Günter Kauffmann, and Dieter Uhl 43 MÜNCHEN: The Fossil Collections of the Bavarian State Collections at Munich / Mike Reich and Gert Wörheide 44 MÜNSTER: Geomuseum of the WWU / Markus Bertling 45 NIERSTEIN: Paläontologisches Museum Nierstein / Lutz Kaecke 46 SCHIFFWEILER (Landsweiler-Reden): Center for Biological Documentation (Zentrum für Biodokumention—ZfBS) / Edgar Müller 47 SCHLEUSINGEN: Naturhistorisches Museum Schloss Bertholdsburg Schleusingen (Thuringia, Germany)—Home of Permian and Triassic Fossils / Ralf Werneburg 48 SIEGSDORF: The Siegsdorf Natural History and Mammoth Museum / Robert Darga 49 ST. GALLEN: Naturmuseum St. Gallen / Toni Bürgin 50 Staatliches Museum für Naturkunde Stuttgart (SMNS) / Rainer Schoch and Johanna Kovar-Eder 51 THALLICHTENBERG: POLLICHIA Geoscience Collections at the Urweltmuseum GEOSKOP, Thallichtenberg (Germany) / Sebastian Voigt and Jan Fischer 52 TÜBINGEN: The Palaeontologial Collection of Tübingen / Ingmar Werneburg and Madelaine Böhme 53 WIEN: “To the Realm of Nature and its Exploration”: The Paleontological Collections of the Natural History Museum Vienna / Mathias Harzhauser and Andreas Kroh 54 WIESBADEN: Museum Wiesbaden, Natural History Collections / Fritz Geller-Grimm 55 ZURICH: The Geological-Palaeontological Collection at ETH Zurich / Andreas D. Mueller, Rodney Eastwood, and Stefan Ungricht 56 ZURICH: Palaeontological Museum of the University of Zurich / Christian Klug and Beat Scheffold 57 State Museum of Natural History Karlsruhe: Institute of Life and Earth Sciences / Eberhard Frey and H. Dieter Schreiber Index

Note: Contents Part I Solution of Nonlinear Systems 1 Solution of Algebraic Polynomial Systems 1.1 Zeros of Polynomial Systems 1.2 Resultant Methods 1.2.1 Sylvester Resultant 1.2.2 Dixon Resultant 1.3 Gröbner Basis 1.3.1 Greatest Common Divisor of Polynomials 1.3.2 Reduced Gröbner Basis 1.3.3 Polynomials with Inexact Coefficients 1.4 Using Dixon-EDF for Symbolic Solution of Polynomial Systems 1.4.1 Explanation of Dixon-EDF 1.4.2 Distance from a Point to a Standard Ellipsoid 1.4.3 Distance from a Point to Any 3D Conic 1.4.4 Pose Estimation 1.4.5 How to Run Dixon-EDF 1.5 Applications 1.5.1 Common Points of Geometrical Objects 1.5.2 Nonlinear Heat Transfer 1.5.3 Helmert Transformation 1.6 Exercises 1.6.1 Solving a System with Different Techniques 1.6.2 Planar Ranging 1.6.3 3D Resection 1.6.4 Pose Estimation References 2 Homotopy Solution of Nonlinear Systems 2.1 The Concept of Homotopy 2.2 Solving Nonlinear Equation via Homotopy 2.3 Tracing Homotopy Path as Initial Value Problem 2.4 Types of Linear Homotopy 2.4.1 General Linear Homotopy 2.4.2 Fixed-Point Homotopy 2.4.3 Newton Homotopy 2.4.4 Affine Homotopy 2.4.5 Mixed Homotopy 2.5 Regularization of the Homotopy Function 2.6 Start System in Case of Algebraic Polynomial Systems 2.7 Homotopy Methods in Mathematica 2.8 Parallel Computation 2.9 General Nonlinear System 2.10 Nonlinear Homotopy 2.10.1 Quadratic Bezier Homotopy Function 2.10.2 Implementation in Mathematica 2.10.3 Comparing Linear and Quadratic Homotopy 2.11 Applications 2.11.1 Nonlinear Heat Conduction 2.11.2 Local Coordinates via GNSS 2.12 Exercises 2.12.1 GNSS Positioning N-Point Problem References 3 Overdetermined and Underdetermined Systems 3.1 Concept of the Over and Underdetermined Systems 3.1.1 Overdetermined Systems 3.1.2 Underdetermined Systems 3.2 Gauss–Jacobi Combinatorial Solution 3.3 Gauss–Jacobi Solution in Case of Nonlinear Systems 3.4 Transforming Overdetermined System into a Determined System 3.5 Extended Newton–Raphson Method 3.6 Solution of Underdetermined Systems 3.6.1 Direct Minimization 3.6.2 Method of Lagrange Multipliers 3.6.3 Method of Penalty Function 3.6.4 Extended Newton–Raphson 3.7 Applications 3.7.1 Geodetic Application—The Minimum Distance Problem 3.7.2 Global Navigation Satellite System (GNSS) Application 3.7.3 Geometric Application 3.8 Exercises 3.8.1 Solution of Overdetermined System 3.8.2 Solution of Underdetermined System Part II Optimization of Systems 4 Simulated Annealing 4.1 Metropolis Algorithm 4.2 Realization of the Metropolis Algorithm 4.2.1 Representation of a State 4.2.2 The Free Energy of a State 4.2.3 Perturbation of a State 4.2.4 Accepting a New State 4.2.5 Implementation of the Algorithm 4.3 Algorithm of the Simulated Annealing 4.4 Implementation of the Algorithm 4.5 Application to Computing Minimum of a Real Function 4.6 Generalization of the Algorithm 4.7 Applications 4.7.1 A Packing Problem 4.7.2 The Traveling Salesman Problem 4.8 Exercise 5 Genetic Algorithms 5.1 The Genetic Evolution Concept 5.2 Mutation of the Best Individual 5.3 Solving a Puzzle 5.4 Application to a Real Function 5.5 Employing Sexual Reproduction 5.5.1 Selection of Parents 5.5.2 Sexual Reproduction: Crossover and Mutation 5.6 The Basic Genetic Algorithm (BGA) 5.7 Applications 5.7.1 Nonlinear Parameter Estimation 5.7.2 Packing Spheres with Different Sizes 5.7.3 Finding All the Real Solutions of a Non-algebraic System 5.8 Exercises 5.8.1 Foxhole Problem References 6 Particle Swarm Optimization 6.1 The Concept of Social Behavior of Groups of Animals 6.2 Basic Algorithm 6.3 The Pseudo Code of the Algorithm 6.4 Applications 6.4.1 1D Example 6.4.2 2D Example 6.4.3 Solution of Nonlinear Non-algebraic System 6.5 Exercise Reference 7 Integer Programming 7.1 Integer Problem 7.2 Discrete Value Problems 7.3 Simple Logical Conditions 7.4 Some Typical Problems of Binary Programming 7.4.1 Knapsack Problem 7.4.2 Nonlinear Knapsack Problem 7.4.3 Set-Covering Problem 7.5 Solution Methods 7.5.1 Binary Countdown Method 7.5.2 Branch and Bound Method 7.6 Mixed–Integer Programming 7.7 Applications 7.7.1 Integer Least Squares 7.7.2 Optimal Number of Oil Wells 7.8 Exercises 7.8.1 Study of Mixed Integer Programming 7.8.2 Mixed Integer Least Square References 8 Multiobjective Optimization 8.1 Concept of Multiobjective Problem 8.1.1 Problem Definition 8.1.2 Interpretation of the Solution 8.2 Pareto Optimum 8.2.1 Nonlinear Problems 8.2.2 Pareto-Front and Pareto-Set 8.3 Computation of Pareto Optimum 8.3.1 Pareto Filter 8.3.2 Reducing the Problem to the Case of a Single Objective 8.3.3 Weighted Objective Functions 8.3.4 Ideal Point in the Function Space 8.3.5 Pareto Balanced Optimum 8.3.6 Non-convex Pareto-Front 8.4 Employing Genetic Algorithms 8.5 Application 8.5.1 Nonlinear Gauss-Helmert Model 8.6 Exercise References Part III Approximation of Functions and Data 9 Approximation with Radial Bases Functions 9.1 Basic Idea of RBF Interpolation 9.2 Positive Definite RBF Function 9.3 Compactly Supported Functions 9.4 Some Positive Definite RBF Function 9.4.1 Laguerre-Gauss Function 9.4.2 Generalized Multi-quadratic RBF 9.4.3 Wendland Function 9.4.4 Buchmann-Type RBF 9.5 Generic Derivatives of RBF Functions 9.6 Least Squares Approximation with RBF 9.7 Applications 9.7.1 Image Compression 9.7.2 RBF Collocation Solution of Partial Differential Equation 9.8 Exercise 9.8.1 Nonlinear Heat Transfer References 10 Support Vector Machines (SVM) 10.1 Concept of Machine Learning 10.2 Optimal Hyperplane Classifier 10.2.1 Linear Separability 10.2.2 Computation of the Optimal Parameters 10.2.3 Dual Optimization Problem 10.3 Nonlinear Separability 10.4 Feature Spaces and Kernels 10.5 Application of the Algorithm 10.5.1 Computation Step by Step 10.5.2 Implementation of the Algorithm 10.6 Two Nonlinear Test Problems 10.6.1 Learning a Chess Board 10.6.2 Two Intertwined Spirals 10.7 Concept of SVM Regression 10.7.1 e-Insensitive Loss Function 10.7.2 Concept of the Support Vector Machine Regression (SVMR) 10.7.3 The Algorithm of the SVMR 10.8 Employing Different Kernels 10.8.1 Gaussian Kernel 10.8.2 Polynomial Kernel 10.8.3 Wavelet Kernel 10.8.4 Universal Fourier Kernel 10.9 Applications 10.9.1 Image Classification 10.9.2 Maximum Flooding Level 10.10 Exercise 10.10.1 Noise Filtration References 11 Symbolic Regression 11.1 Concept of Symbolic Regression 11.2 Problem of Kepler 11.2.1 Polynomial Regression 11.2.2 Neural Network 11.2.3 Support Vector Machine Regression 11.2.4 RBF Interpolation 11.2.5 Random Models 11.2.6 Symbolic Regression 11.3 Applications 11.3.1 Correcting Gravimetric Geoid Using GPS Ellipsoidal Heights 11.3.2 Geometric Transformation 11.4 Exercise 11.4.1 Bremerton Data References 12 Quantile Regression 12.1 Problems with the Ordinary Least Squares 12.1.1 Correlation Height and Age 12.1.2 Engel’s Problem 12.2 Concept of Quantile 12.2.1 Quantile as a Generalization of Median 12.2.2 Quantile for Probability Distributions 12.3 Linear Quantile Regression 12.3.1 Ordinary Least Square (OLS) 12.3.2 Median Regression (MR) 12.3.3 Quantile Regression (QR) 12.4 Computing Quantile Regression 12.4.1 Quantile Regression via Linear Programming 12.4.2 Boscovich’s Problem 12.4.3 Extension to Linear Combination of Nonlinear Functions 12.4.4 B-Spline Application 12.5 Applications 12.5.1 Separate Outliers in Cloud Points 12.5.2 Modelling Time-Series 12.6 Exercise 12.6.1 Regression of Implicit-Functions References 13 Robust Regression 13.1 Basic Methods in Robust Regression 13.1.1 Concept of Robust Regression 13.1.2 Maximum Likelihood Method 13.1.3 Danish Algorithm 13.1.4 Danish Algorithm with PCA 13.1.5 RANSAC Algorithm 13.2 Application Examples 13.2.1 Fitting a Sphere to Point Cloud Data 13.2.2 Fitting a Cylinder 13.3 Problem 13.3.1 Fitting a Plane to a Slope References 14 Stochastic Modeling 14.1 Basic Stochastic Processes 14.1.1 Concept of Stochastic Processes 14.1.2 Examples for Stochastic Processes 14.1.3 Features of Stochastic Processes 14.2 Time Series 14.2.1 Concept of Time

Note: Contents 1 Introduction to ‘Urban Disaster Resilience and Security—Addressing Risks in Societies’ / Alexander Fekete and Frank Fiedrich Part I Planning Urban Resilience 2 Nepal and the “Urban Resilience Utopia” / Johannes Anhorn 3 Exploring the Role of Planning in Urban Resilience Enhancement—An Irish Perspective / Aoife Doyle, William Hynes, Stephen M. Purcell and Maria Rochford 4 Toward Climate Resilience in the USA: From Federal to Local Level Initiatives and Practices Since the 2000s / Ebru A. Gencer and Wesley Rhodes 5 Enhancing Resilience Towards Summer Storms from a Spatial Planning Perspective—Lessons Learned from Summer Storm Ela / Hanna Christine Schmitt and Stefan Greiving 6 Measuring Urban Resilience to Natural Disasters for Iranian Cities: Challenges and Key Concepts / Solmaz Hosseinioon 7 Resilience History and Focus in the USA / Ronald Fisher, Michael Norman and James Peerenboom Part II Organizing Professionals and the People 8 Integrating Volunteers in Emergency Response: A Strategy for Increased Resilience Within German Civil Security Research / Jens Hälterlein, Linda Madsen, Agnetha Schuchardt, Roman Peperhove and Lars Gerhold 9 Contributions of Flood Insurance to Enhance Resilience–Findings from Germany / Annegret H. Thieken 10 Collaborative Emergency Supply Chains for Essential Goods and Services / Marcus Wiens, Frank Schätter, Christopher W. Zobel and Frank Schultmann Part III Urban Resilience Assessment: Methods and Challenges 11 Competence as Enabler of Urban Critical Infrastructure Resilience Assessment / Florian Brauner, Marie Claßen and Frank Fiedrich 12 Resilient Disaster Recovery: The Role of Health Impact Assessment / James K. Mitchell 13 DS3 Model Testing: Assessing Critical Infrastructure Network Flood Resilience at the Neighbourhood Scale / Damien Serre 14 Enhancing Flood Resilience Through Collaborative Modelling and Multi-criteria Decision Analysis (MCDA) / Mariele Evers, Adrian Almoradie and Mariana Madruga de Brito Part IV Urban Critical Infrastructure and Security 15 An Approach for Quantifying the Multidimensional Nature of Disaster Resilience in the Context of Municipal Service Provision / Christopher W. Zobel, Milad Baghersad and Yang Zhang 16 A Future-Oriented Agent-Based Simulation to Improve Urban Critical Infrastructure Resilience / Thomas Münzberg, Tim Müller and Wolfgang Raskob 17 An Indicator-Based Approach to Assessing Resilience of Smart Critical Infrastructures / A. Jovanović, K. Øien and A. Choudhary 18 Certified Video Surveillance Systems for More Resilient Urban Societies / Simone Wurster, Irene Kamara, Thordis Sveinsdottir and Erik Krempel 19 Situational Resilience––A Network-Perspective on Resilience to Crime / Herbert Schubert and Tim Lukas Part V Resilience Trends, Paradigms and Reflections 20 Urban Riskscapes—Social and Spatial Dimensions of Risk in Urban Infrastructure Settings / Florian Neisser and Detlef Müller-Mahn 21 Researching Milieu-Specific Perceptions of Risk, (in)Security, and Vulnerability—A Conceptual Approach for Understanding the Inequality and Segregation Nexus in Urban Spaces / Kristina Seidelsohn, Martin Voss and Daniela Krüger 22 Resilience and Thriving in Spite of Disasters: A Stages of Change Approach / Norbert Mundorf, Colleen A. Redding, James O. Prochaska, Andrea L. Paiva and Pamela Rubinoff 23 Foresight in Sight: How to Improve Urban Resilience with Collaboration Among Public Authorities? / Riitta Molarius, Nina Wessberg, Jaana Keränen and Mervi Murtonen 24 How to Demarcate Resilience? A Reflection on Reviews in Disaster Resilience Research / Maike Vollmer and Gerald Walther 25 Challenges in Establishing Cross-Border Resilience / Anouck Adrot, Frank Fiedrich, Andreas Lotter, Thomas Münzberg, Eric Rigaud, Marcus Wiens, Wolfgang Raskob and Frank Schultmann Part VI Perspectives from the Science-Policy Nexus 26 Resilience—A Useful Approach for Climate Adaptation? / Thomas Abeling, Achim Daschkeit, Petra Mahrenholz and Inke Schauser 27 Urban Resilience and Crisis Management: Perspectives from France and Germany / Juergen Weichselgartner, Bernard Guézo, Irmtraud Beerlage, Christian Després, Alexander Fekete, Gabriele Hufschmidt, Orsola Lussignoli, Stefanie Mey-Richters, Jens Naumann and Ina Wienand 28 Considerations About Urban Disaster Resilience and Security—Two Concepts in Tandem? / Alexander Fekete and Janos J. Bogardi 29 Synthesis / Alexander Fekete and Frank Fiedrich

Note: Contents 1 Introduction and Overview 1.1 Geochemistry of Fe 1.1.1 Fe Redox 1.2 Stable Isotope Geochemistry 1.2.1 Nomenclature 1.2.2 Isotopic Fractionation 1.2.3 Processes that Produce Isotopic Variations 1.3 Overview of the Chapters References 2 Analytical Methods 2.1 Introduction 2.2 Iron Purification Methods 2.3 Mass Spectrometry 2.3.1 Beginnings of Fe Isotope Analysis 2.3.2 Multi Collector Inductively Coupled Plasma Mass Spectrometry (MC-ICP-MS) 2.3.3 Modern MC-ICP-MS Using Pseudo High Mass Resolution Methods 2.3.4 Matrix Effects and Instrumental Mass Fractionation Corrections 2.4 In Situ Techniques 2.5 Summary References 3 Fe Isotope Fractionation Factors 3.1 Introduction 3.2 Deriving Fe Isotope Fractionation Factors from First Principles 3.3 Experimental Methods for Measuring Fe Isotope Fractionation Factors 3.3.1 The Role of Sorption in Isotope Exchange 3.4 Equilibrium Fractionation of Fe Isotopes: Working Toward a Unified Set of Fractionation Factors 3.4.1 Aqueous Fe Species 3.4.2 Aqueous Fe Mineral Fractionation 3.5 Biological Experiments 3.5.1 Fe Oxidizing Experiments 3.5.2 Magnetotactic Bacteria 3.5.3 Fe Reducing Experiments 3.6 Preferred Set of b-Values 3.7 Summary References 4 High-Temperature Fe Isotope Geochemistry 4.1 Iron Isotope Variations in the Solar System 4.1.1 Chondrites and Chondritic Components 4.1.2 Differentiated Planetary Material 4.2 The Silicate Earth 4.2.1 The Mantle and Its Minerals 4.2.2 Basalts and Komatiites 4.2.3 Differentiated Crust 4.2.4 Magmatic Minerals 4.2.5 Hydrothermal Products and Ores 4.2.6 Metamorphic Rocks 4.3 Planetary Formation and Magmatic Processes 4.3.1 Planetary Accretion 4.3.2 Formation and Differentiation of Planetary Cores 4.3.3 Partial Melting on Earth and Other Planets 4.3.4 Mantle Metasomatism 4.3.5 Differentiation of Melts 4.3.6 The Mantle and Crust of the Earth as Compared to Other Planets 4.4 Summary References 5 The Modern Surficial World 5.1 Weathering 5.1.1 Mechanical Weathering 5.1.2 Chemical Weathering 5.1.3 Soils 5.2 Rivers and Groundwater 5.2.1 Rivers 5.2.2 Groundwater and Terrestrial Hydrothermal Systems 5.3 Redox-Stratified Water Bodies 5.3.1 Lake Water 5.3.2 Lake Sediments 5.3.3 The Black Sea 5.4 Marine Sediments 5.4.1 Reactive Fe Inventories 5.4.2 Pore Fluid-Sediment Interactions 5.4.3 Solid-Phase Fe Components 5.4.4 Benthic Fe Fluxes 5.5 The Fe Budget of the Modern Oceans 5.5.1 Seawater Fe 5.5.2 Riverine and Aeolian Sources 5.5.3 Benthic Sources 5.5.4 Hydrothermal Sources 5.6 Summary References 6 The Ancient Earth 6.1 The Cenozoic Marine System 6.1.1 Global Changes in the Cenozoic 6.1.2 Fe–Mn Crusts as Archives of Paleo-Seawater Compositions 6.1.3 Fe Isotope Variations in Cenozoic Seawater 6.2 Cretaceous Anoxic Events 6.2.1 Cenomanian-Turonian OAE-2 6.3 Precambrian Earth: An Introduction 6.3.1 Broad Changes in the Surface Earth in the Precambrian 6.3.2 Temporal Changes in Fe Abundance and Speciation 6.3.3 Differences in Marine Fe Pathways Between Modern and Ancient Earth 6.3.4 Authigenic Fe Isotope and Reactive Fe Trends 6.4 Precambrian Earth: The Neoproterozoic 6.4.1 Neoproterozoic Clastic Marine Sedimentary Rocks 6.4.2 Revisiting Reactive Fe Speciation and d56Fe 6.4.3 Neoproterozoic Iron Formations (IFs) 6.5 Precambrian Earth: The Paleoproterozoic and Neoarchean Transition Through the GOE 6.5.1 The Post-GOE Sedimentary Record 6.5.2 Changes in Weathering Across the GOE 6.5.3 Moving to a Low-Oxygen World: Key Issues of Fe Mass Balance, Fe Isotope Fractionation Factors, Fe 2+aq Oxidation, and the Age of Redox Proxies 6.5.4 Early Paleoproterozoic Iron Formations (IFs) 6.5.5 Early Paleoproterozoic Rise of Mn Redox 6.5.6 Paleoproterozoic and Neoarchean Continental Margins: Relations Between Shales, Carbonate Platforms, and IFs . 6.6 Precambrian Earth: The Early Archean Record 6.6.1 The Mesoarchean Witwatersrand and Pongola Basins 6.6.2 The Paleoarchean Barberton Greenstone Belt and Pilbara Craton 6.6.3 The High-Grade Metamorphic Terranes of the Eoarchean 6.7 Precambrian Earth: Synthesis of the Eoarchean Through Paleoproterozoic 6.8 Chapter Summary References