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A Practical Guide to Ecological Modelling
Using R as a Simulation Platform
Taschenbuch von Peter M. J. Herman (u. a.)
Sprache: Englisch

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Beschreibung
Mathematical modelling is an essential tool in present-day ecological research. Yet for many ecologists it is still problematic to apply modelling in their research. In our experience, the major problem is at the conceptual level: proper understanding of what a model is, how ecological relations can be translated consistently into mathematical equations, how models are solved, steady states calculated and interpreted. Many textbooks jump over these conceptual hurdles to dive into detailed formulations or the mathematics of solution. This book attempts to fill that gap. It introduces essential concepts for mathematical modelling, explains the mathematics behind the methods, and helps readers to implement models and obtain hands-on experience. Throughout the book, emphasis is laid on how to translate ecological questions into interpretable models in a practical way.
The book aims to be an introductory textbook at the undergraduate-graduate level, but will also be useful to seduce experienced ecologists into the world of modelling. The range of ecological models treated is wide, from Lotka-Volterra type of principle-seeking models to environmental or ecosystem models, and including matrix models, lattice models and sequential decision models. All chapters contain a concise introduction into the theory, worked-out examples and exercises. All examples are implemented in the open-source package R, thus taking away problems of software availability for use of the book. All code used in the book is available on a dedicated website.
Mathematical modelling is an essential tool in present-day ecological research. Yet for many ecologists it is still problematic to apply modelling in their research. In our experience, the major problem is at the conceptual level: proper understanding of what a model is, how ecological relations can be translated consistently into mathematical equations, how models are solved, steady states calculated and interpreted. Many textbooks jump over these conceptual hurdles to dive into detailed formulations or the mathematics of solution. This book attempts to fill that gap. It introduces essential concepts for mathematical modelling, explains the mathematics behind the methods, and helps readers to implement models and obtain hands-on experience. Throughout the book, emphasis is laid on how to translate ecological questions into interpretable models in a practical way.
The book aims to be an introductory textbook at the undergraduate-graduate level, but will also be useful to seduce experienced ecologists into the world of modelling. The range of ecological models treated is wide, from Lotka-Volterra type of principle-seeking models to environmental or ecosystem models, and including matrix models, lattice models and sequential decision models. All chapters contain a concise introduction into the theory, worked-out examples and exercises. All examples are implemented in the open-source package R, thus taking away problems of software availability for use of the book. All code used in the book is available on a dedicated website.
Zusammenfassung

Emphasis on the conceptual and mathematical basis of modelling

Coverage of a wide range of ecological models

Subjects illustrated in worked-out examples

Examples implemented in the freely available open-source package R

codes for examples and exercises available from the official R-website [...]

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface

Chapter 1. Introduction

Chapter 2. Model Formulation

Chapter 3. Spatial Components and Transport

Chapter 4. Parameterisation

Chapter 5. Model Solution - Analytical Methods

Chapter 6. Model Solution -Numerical Methods

Chapter 7. Stability and Steady-State

Chapter 8. Multiple Time Scales and Equilibrium Processes

Chapter 9. Discrete Time Models

Chapter 10. Dynamic Programming

Chapter 11. Testing and Validating the Model

Chapter 12. Further Reading and References
Details
Erscheinungsjahr: 2010
Fachbereich: Ökologie
Genre: Biologie
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xv
372 S.
125 s/w Illustr.
ISBN-13: 9789048179367
ISBN-10: 904817936X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Herman, Peter M. J.
Soetaert, Karline
Auflage: Softcover reprint of hardcover 1st ed. 2009
Hersteller: Springer Netherland
Springer Netherlands
Maße: 235 x 155 x 21 mm
Von/Mit: Peter M. J. Herman (u. a.)
Erscheinungsdatum: 19.10.2010
Gewicht: 0,587 kg
Artikel-ID: 107142360
Zusammenfassung

Emphasis on the conceptual and mathematical basis of modelling

Coverage of a wide range of ecological models

Subjects illustrated in worked-out examples

Examples implemented in the freely available open-source package R

codes for examples and exercises available from the official R-website [...]

Includes supplementary material: [...]

Inhaltsverzeichnis
Preface

Chapter 1. Introduction

Chapter 2. Model Formulation

Chapter 3. Spatial Components and Transport

Chapter 4. Parameterisation

Chapter 5. Model Solution - Analytical Methods

Chapter 6. Model Solution -Numerical Methods

Chapter 7. Stability and Steady-State

Chapter 8. Multiple Time Scales and Equilibrium Processes

Chapter 9. Discrete Time Models

Chapter 10. Dynamic Programming

Chapter 11. Testing and Validating the Model

Chapter 12. Further Reading and References
Details
Erscheinungsjahr: 2010
Fachbereich: Ökologie
Genre: Biologie
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xv
372 S.
125 s/w Illustr.
ISBN-13: 9789048179367
ISBN-10: 904817936X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Herman, Peter M. J.
Soetaert, Karline
Auflage: Softcover reprint of hardcover 1st ed. 2009
Hersteller: Springer Netherland
Springer Netherlands
Maße: 235 x 155 x 21 mm
Von/Mit: Peter M. J. Herman (u. a.)
Erscheinungsdatum: 19.10.2010
Gewicht: 0,587 kg
Artikel-ID: 107142360
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