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Mathematical Models of Crop Growth and Yield

Edition:
1st
Author(s):
Allen R. Overman, Richard V. Scholtz III
ISBN:
9780824708252
Format:
Hardback
Publication Date:
August 27, 2002
Content Details:
344 pages
Language:
English

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  • About the Book

    Book Summary

    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.

    Features

    • Develops technical details in a way that offers some insight into a logical progression form a simple idea toward more complex details
    • Gives students a comprehensive grasp of the material with data presented in both tabular and graphical formats
    • Begins with simpler models and progresses towards greater levels of complexity and comprehensiveness
  • Contents

    INTRODUCTION
    Historic Background
    Yield Response Models
    Growth Models
    Environmental Input
    Summary
    Exercises
    References

    SEASONAL RESPONSE MODELS
    Background
    Extended Logistic Model
    Extended Multiple Logistic Model
    Water Availability
    Legume/Grass Interaction
    Summary
    Exercises
    References

    GROWTH RESPONSE MODELS
    Background
    Empirical Growth Model
    Extended Empirical Growth Model
    Phenomenological Growth Model
    Expanded Growth Model
    Exercises
    References

    MATHEMATICAL CHARACTERISTICS OF MODELS
    Background
    Phenomenological Growth Model
    Expanded Growth Model
    Rational Basis for Logistic Model
    Coupling Among Applied Soil and Plant Components
    Accumulation of Dry Matter and Plant Nutrients
    Exercises
    References

    PASTURE SYSTEMS
    Background
    Quadratic Model
    Linear Exponential Model
    Summary
    Exercises
    References

    NONLINEAR REGRESSION FOR MATHEMATICAL MODELS
    Background
    Logistic Model
    Probability Model
    Confidence Contours
    Sensitivity Analysis
    Dimensionless Plots
    Correlation Coefficient
    Exercises
    References
    Index