E-Book, Englisch, 486 Seiten
ISBN: 978-1-4665-5389-7
Verlag: Taylor & Francis
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
Learn How to Use a Broad Range of Environmental Models
The textbook is organized into three parts to allow greater flexibility using the material in various countries and types of curricula. The first part provides a tutorial-style mathematical review and a gentle introduction to the basics of R software. The second part explains the fundamentals of modeling methodology through one-dimensional models. After a review of matrix algebra, the third part progresses to multidimensional models, focusing on structured populations, communities, and ecosystems. The final chapters show how simple models are hooked together to generate more comprehensive models.
Build from Fundamental Concepts to Problem Solving
Each chapter starts with conceptual and theoretical material to give a firm foundation in how the methods work. Examples and exercises illustrate the applications and demonstrate how to go from concepts to problem solving. Hands-on computer sessions let students grasp the practical implications and learn by doing. Throughout, the computer examples and exercises use seem, an open-source R package developed by the author, which lets students quickly produce simulations and explore the effects of changing conditions in the model.
This practical book is a comprehensive, unified presentation of ecological and environmental models. It describes the mathematical fundamentals to analyze models and the methodology to simulate them, with a focus on understanding environmental change—a key element of environmental management and problem solving.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computersimulation & Modelle, 3-D Graphik
- Naturwissenschaften Biowissenschaften Biowissenschaften Ökologie
- Geowissenschaften Geologie GIS, Geoinformatik
- Geowissenschaften Umweltwissenschaften Umweltüberwachung, Umweltanalytik, Umweltinformatik
- Technische Wissenschaften Technik Allgemein Modellierung & Simulation
Weitere Infos & Material
Part I Introduction, Mathematical Review, and Software Fundamentals
Introduction
Modeling and Simulation
Process-Based Dynamic Models
Applications of Environmental Modeling
Modeling Methodology
Book Organization
Simulation Platforms
Computer Session
Supplementary Reading
Review of Basic Mathematical Concepts and Introduction to R
Variables
Functions
Derivatives and Optimization
Integrals and Area
Ordinary Differential Equations
Functions of Several Variables
Random Variables and Distributions
Random Variables and Moments
Some Important Random Variables
Covariance and Correlation
Computer Session
Part II One-Dimensional Models and Fundamentals of Modeling Methodology
Exponential Model
Fundamentals
Units
Population Dynamics
Chemical Fate
Model Terms
Review of Simple Linear Regression
Model Calibration: Parameter Estimation
Nonlinear Regression
Computer Session
Model Simulation
Concepts of Computer Simulation Based on Ordinary Differential Equations
Euler Method
Fourth-Order Runge–Kutta Method
Random Number Generation
Stochastic Simulation
Computer Session
Seem Functions Explained
Model Evaluation
Testing the Numerical Method and the Code
Graphical Evaluation
Testing the Model
Testing the Parameter Values: Sensitivity Analysis
Computer Session
Seem Functions Explained
Nonlinear Models
Populations: Logistic Growth
Fate of Chemicals: Michaelis–Menten–Monod
Monod Kinetics
Computer Session
Seem Functions Explained
Stability and Disturbances
Stability
Disturbances
Variability and Stress
Sudden and Impulsive Disturbances
Computer Session
Seem Functions Explained
Sensitivity Analysis, Response Surfaces, and Scenarios
Multiparameter Sensitivity Analysis
Response Surface and Scenarios
Computer Session
Seem Functions Explained
Part III Multidimensional Models: Structured Populations, Communities, and Ecosystems
Linear Dynamical Systems
Matrices
Dimensions of a Matrix
Vectors
Square Matrices
Matrix Operations
Solving Systems of Linear Algebraic Equations
Eigenvalues and Eigenvectors
Linear Dynamical Systems: Constant Coefficients
Computer Session: Matrix Algebra
Structured Population Models
Types of Structure
Methods of Model Structure
Projection Matrices
Extensions
Continuous Time Stage Structured Model
Delay-Differential Equations
Computer Session
Seem Functions Explained
Ecotoxicological Modeling
Bioavailability
Bioaccumulation
Effects: Lethal and Sublethal
Including Food Pathways
Compartment Models
Bioaccumulation: Two-Compartment Model
Bioaccumulation: Multicompartment
Bioaccumulation: Varying Exposure
Population Effects
Risk Assessment
Computer Session
Seem Functions Explained
Community Dynamics
Two-State System Concepts
Two Species: Simple Interactions
Cycles in Two-Species Consumer–Resource Interactions
Two Species: Disturbances
Two Species: Structured Populations
More Than Two Species, But Not Too Many
Computer Session
Seem Functions Explained
Ecosystems: Nutrients and Energy
Nutrient Cycles
Closed Cycles
Open Cycles
Nutrient Cycle Examples
Nutrient Cycle Example: Aquatic Ecosystems
Global Biogeochemical Cycles
Primary Productivity
Secondary and Tertiary Productivity
Computer Session
Seem Functions Explained
Aquatic Ecosystems
Environmental Drivers
Solar Radiation
Light as a Function of Depth
Dissolved Oxygen and Primary Productivity
River Eutrophication
Computer Session
Seem Functions Explained
Terrestrial Ecosystems: Soils, Plants, and Water
Weather Generators
Evapotranspiration
Soil Water Dynamics
Soil Water Balance
Infiltration and Runoff
Computer Session
Seem Functions Explained
Terrestrial Ecosystems: Vegetation Dynamics
Individual-Based Approach
Growth Equation
Allometric Relationships
Diameter Ordinary Differential Equation
Environmental Conditions
Estimation of Gmax
Sunlight
Soil Moisture
Temperature
Nutrients
Tree Population Demography
Model Responses
Deterministic and Lumped Model
Markovian Models
Computer Session
Seem Functions Explained
Bibliography
Index