Mathematical Models of Crop Growth and Yield

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CRC Press, Aug 27, 2002 - Mathematics - 344 pages
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,
 

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Contents

Introduction
1
12 YIELD RESPONSE MODELS
2
13 GROWTH MODELS
7
14 ENVIRONMENTAL INPUT
20
15 SUMMARY
22
EXERCISES
23
REFERENCES
32
Seasonal Response Models
35
43 EXPANDED GROWTH MODEL
195
44 RATIONAL BASIS FOR LOGISTIC MODEL
208
45 COUPLING AMONG APPLIED SOIL AND PLANT COMPONENTS
211
46 ACCUMULATION OF DRY MATTER AND PLANT NUTRIENTS
227
EXERCISES
229
REFERENCES
277
Pasture Systems
283
53 LINEAR EXPONENTIAL MODEL
292

23 EXTENDED MULTIPLE LOGISTIC MODEL
52
24 WATER AVAILABILITY
69
25 LEGUMEGRASS INTERACTION
70
26 SUMMARY
72
EXERCISES
74
REFERENCES
91
Growth Response Models
95
33 EXTENDED EMPIRICAL GROWTH MODEL
101
34 PHENOMENOLOGICAL GROWTH MODEL
103
35 EXPANDED GROWTH MODEL
115
EXERCISES
145
REFERENCES
182
Mathematical Characteristics of Models
186
54 SUMMARY
300
EXERCISES
301
REFERENCES
303
Nonlinear Regression for Mathematical Models
305
62 LOGISTIC MODEL
306
63 PROBABILITY MODEL
313
64 CONFIDENCE CONTOURS
316
65 SENSITIVITY ANALYSIS
319
66 DIMENSIONLESS PLOTS
321
EXERCISES
322
REFERENCES
323
Index
325
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