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Working with Dynamic Crop Models - 2nd Edition - ISBN: 9780123970084, 9780444594464

Working with Dynamic Crop Models

2nd Edition

Methods, Tools and Examples for Agriculture and Environment

Authors: Daniel Wallach David Makowski James Jones Francois Brun
Hardcover ISBN: 9780123970084
eBook ISBN: 9780444594464
Imprint: Academic Press
Published Date: 9th December 2013
Page Count: 504
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This second edition of Working with Dynamic Crop Models is meant for self-learning by researchers or for use in graduate level courses devoted to methods for working with dynamic models in crop, agricultural, and related sciences.

Each chapter focuses on a particular topic and includes an introduction, a detailed explanation of the available methods, applications of the methods to one or two simple models that are followed throughout the book, real-life examples of the methods from literature, and finally a section detailing implementation of the methods using the R programming language.

The consistent use of R makes this book immediately and directly applicable to scientists seeking to develop models quickly and effectively, and the selected examples ensure broad appeal to scientists in various disciplines.

Key Features

  • 50% new content – 100% reviewed and updated
  • Clearly explains practical application of the methods presented, including R language examples
  • Presents real-life examples of core crop modeling methods, and ones that are translatable to dynamic system models in other fields


Researchers and students in agronomy, agricultural engineering, agricultural economics and agricultural statistics, and advanced biological systems modeling

Table of Contents


Section 1: Basics

Chapter 1. Basics of Agricultural System Models

1 Introduction

2 System Models

3 Developing Dynamic System Models

4 Other Forms of System Models

5 Examples of Dynamic Agricultural System Models



Chapter 2. Statistical Notions Useful for Modeling

1 Introduction

2 Random Variable

3 The Probability Distribution of a Random Variable

4 Several Random Variables

5 Samples, Estimators, and Estimates

6 Regression Models

7 Bayesian Statistics



Chapter 3. The R Programming Language and Software

1 Introduction

2 Getting Started

3 Objects in R

4 Vectors (numerical, logical, character)

5 Other Data Structures

6 Read from and Write to File System

7 Control Structures

8 Functions

9 Graphics

10 Statistics and Probability

11 Advanced Data Processing

12 Additional Packages (libraries)

13 Running an External Model from R

14 Reducing Computing Time



Chapter 4. Simulation with Dynamic System Models

1 Introduction

2 Simulating Continuous Time Models (differential equation form)

3 Simulation of System Models in Difference Equation Form



Section 2: Methods

Chapter 5. Uncertainty and Sensitivity Analysis

1 Introduction

2 A Simple Example using Uncertainty and Sensitivity Analysis

3 Uncertainty Analysis

4 Sensitivity Analysis

5 Recommendations

6 R code Used in this Chapter



Chapter 6. Parameter Estimation with Classical Methods (Model Calibration)

1 Introduction

2 An Overview of Model Calibration

3 The Statistics of Parameter Estimation

4 Application of Statistical Principles to System Models

5 Algorithms for OLS

6 R Functions for Parameter Estimation


Models for Exercises


Chapter 7. Parameter Estimation with Bayesian Methods

1 Introduction

2 Ingredients for Implementing a Bayesian Estimation Method

3 Computation of Posterior Mode

4 Algorithms for Estimating Posterior Probability Distribution

5 Concluding Remarks



Chapter 8. Data Assimilation for Dynamic Models

1 Introduction

2 Model Specification

3 Filter and Smoother for Gaussian Dynamic Linear Models

4 Filter and Smoother for Non-Linear Models

5 Concluding Remarks



Chapter 9. Model Evaluation

1 Introduction

2 A Model as a Scientific Hypothesis

3 Comparing Simulated and Observed Values

4 From the Sample to the Population

5 The Predictive Quality of a Model

6 Summary

7 R Functions



Chapter 10. Putting It All Together in a Case Study

1 Introduction

2 Description of the Case Study

3 How Difficult and Time-Consuming is Each Step?

4 R Code Used in This Chapter

Appendix 1. The Models Included in the ZeBook R Package: Description, R Code, and Examples of Results

1 Introduction

2 SeedWeight Model

3 Magarey Model

4 Soil Carbon Model

5 WaterBalance Model

6 Maize Crop Model

7 Verhulst Model

8 Population Age Model

9 Predator-Prey Model

10 Weed Model

11 EPIRICE Model


Appendix 2. An Overview of the R Package ZeBook

1 Introduction

2 Installation

3 Functions and Demos in the Zebook Package

4 How to use the ZeBook Package

5 List of Packages Needed



No. of pages:
© Academic Press 2014
9th December 2013
Academic Press
Hardcover ISBN:
eBook ISBN:

About the Authors

Daniel Wallach

Daniel Wallach focuses on the application of statistical methods of dynamic systems, specifically on agronomy models. He has published in Agriculture, Ecosystems and Environment; Journal of Agricultural, Biological and Environmental Statistics and European Journal of Agronomy.

Affiliations and Expertise

Institut National de la Recherche Agronomique INRA, UMR INRA/INP, Toulouse, France

David Makowski

David Makowski is an expert with the European Food Safety authority and the French Agency for Food, Environmental and Occupational Health and Safety and has authored 50 refereed articles and 10 book chapters on statistics, agricultural modeling and risk analysis.

Affiliations and Expertise

Institut National de la Recherche Agronomique INRA, UMR INRA/INA, Thiverval-Grignon, France

James Jones

James Jones has authored more than 250 refereed scientific journal articles, developed and teached a graduate course based mostly on this book. He is a Fellow of the American Society of Agricultural and Biological Engineers, Fellow of the American Society of Agronomy, Fellow of the Soil Science Society of America and serves on several international science advisory committees related to agriculture and climate.

Affiliations and Expertise

Agricultural and Biological Engineering Department, University of Florida, Gainesville, FL, USA

Francois Brun

Francois Brun specializes in agricultural modeling systems using the R language, and has published in Journal of Experimental Botany.

Affiliations and Expertise

ACTA-INRA Toulouse, Castanet Tolosan, France


"This edition adds chapters on the basics of dynamic system models, statistics, and simulation; examples of how the methods can be applied to real-world problems; advanced methods for parameter estimation, model evaluation, and data assimilation; a new chapter on how the topics fit together in a complete modeling project; and information on how to use the R language and platform.", April 2014

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