Mathematical Models of Crop Growth and YieldHighlighting 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, |
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 |
| 323 | |
| 325 | |
Other editions - View all
Mathematical Models of Crop Growth and Yield Allen R. Overman,Richard V. Scholtz III Limited preview - 2002 |
Mathematical Models of Crop Growth and Yield Allen R. Overman,Richard V. Scholtz III No preview available - 2002 |
Mathematical Models of Crop Growth and Yield Allen R Overman,Richard V Scholtz III No preview available - 2019 |
Common terms and phrases
Agron applied N applied nitrogen Calendar coastal bermudagrass coefficient common bermudagrass crop Curves drawn Data adapted Data are given dimensionless Discuss the results Draw the model drawn from Eq dry matter accumulation Dry matter Mg dry matter yield edited erfx estimated exp(−x² exp(b expanded growth model g kg Gainesville growth quantifier ha-¹ ha-1 kg ha¯¹ harvest interval Hessian matrix hyperbolic K₁ kaolinitic kg ha-1 g kg ha¹ Figure linear graph paper linear regression logistic equation logistic model matter and plant Mg ha¹ model curves model parameters N₁ Nonirrigated nonlinear regression Overman pensacola bahiagrass phase plot phase relations plant N accumulation plant N concentration plant N uptake plant nutrient Plot dry matter response of corn response to applied ryegrass S. R. Wilkinson Seasonal dry matter shown in Fig stocking rate values Watkinsville wk Figure wk Mg Y₁ Yield response ΔΥ