Mathematical Models of Crop Growth and Yield / Edition 1

by Allen R. Overman, Richard V. Scholtz III

Overview

Highlighting effective, analytical functions that have been found useful for the comparison of alternative management techniques to maximize water and nutrient resources, this reference describes the application of viable mathematical models in data analysis to increase crop growth and yields. Featuring solutions to various differential equations, the book covers the characteristics of the functions related to the phenomenological growth model. Including more than 1300 literature citations, display equations, tables, and figures and outlining an approach to mathematical crop modeling, Mathematical Models of Crop Growth and Yield will prove an invaluable resource.

Product Details

ISBN-13:	9780367395896
Publisher:	Taylor & Francis
Publication date:	09/05/2019
Series:	Books in Soils, Plants, and the Environment
Pages:	344
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Overman, Allen R.; Scholtz III, Richard V.

Table of Contents

Preface iii

1 Introduction 1

1.1 Historic Background 1

1.2 Yield Response Models 2

1.3 Growth Models 7

1.4 Environmental Input 20

1.5 Summary 22

Exercises 23

References 32

2 Seasonal Response Models 35

2.1 Background 35

2.2 Extended Logistic Model 35

2.3 Extended Multiple Logistic Model 52

2.4 Water Availability 69

2.5 Legume/Grass Interaction 70

2.6 Summary 72

Exercises 74

References 91

3 Growth Response Models 95

3.1 Background 95

3.2 Empirical Growth Model 95

3.3 Extended Empirical Growth Model 101

3.4 Phenomenological Growth Model 103

3.5 Expanded Growth Model 115

Exercises 145

References 182

4 Mathematical Characteristics of Models 186

4.1 Background 186

4.2 Phenomenological Growth Model 186

4.3 Expanded Growth Model 195

4.4 Rational Basis for Logistic Model 208

4.5 Coupling Among Applied, Soil, and Plant Components 211

4.6 Accumulation of Dry Matter and Plant Nutrients 227

Exercises 229

References 277

5 Pasture Systems 283

5.1 Background 283

5.2 Quadratic Model 283

5.3 Linear Exponential Model 292

5.4 Summary 300

Exercises 301

References 303

6 Nonlinear Regression for Mathematical Models 305

6.1 Background 305

6.2 Logistic Model 306

6.3 Probability Model 313

6.4 Confidence Contours 315

6.5 Sensitivity Analysis 319

6.6 Dimensionless Plots 321

6.7 Correlation Coefficient 321

Exercises 322

References 323

Index 325

Editorial Reviews

Outlining an approach to mathematical crop modeling, Overman and Scholtz (a professor and research fellow, respectively of the Department of Agricultural and Biological Engineering, U. of Florida) analytical functions are presented in a format that progresses from simpler models towards greater levels of complexity and comprehensiveness. Chapters cover seasonal response models, growth response models, mathematical characteristics of models, pasture systems, and nonlinear regression for mathematical models. Annotation c. Book News, Inc., Portland, OR