Using SAEM to estimate parameters of models of response to applied fertilizer

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 11, Issue 1, 2006, Pages 45-60

  Makowski, David ^a   Lavielle, Marc ^b  

^a INRA Institut National de la Recherche Agronomique   (France)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

EM; Fertilization; Hierarchical model; Markov chain Monte Carlo; Nonlinear mixed effects model; Parameter estimation

Indexed keywords

CROP YIELD; FERTILIZER APPLICATION; MARKOV CHAIN; MONTE CARLO ANALYSIS; NUMERICAL MODEL; YIELD RESPONSE;

EID: 33646055784     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.1198/108571106X95728     Document Type: Article

References (17)

1. Anderson, R. L., and Nelson, L. A. (1975), "A Family of Models Involving Intersecting Straight Lines and Concomitant Experimental Designs Useful in Evaluating Response to Fertilizer Nutrients," Biometrics, 31, 303-318.
2. Bullock, D. G., and Bullock, D. S. (1994), "Quadratic and Quadratic-Plus-Plateau Models for Predicting Optimal Nitrogen Rate of Corn: A Comparison," Agronomy Journal, 86, 191-195.
3. Cerrato, M. E., and Blackmer, A. M. (1990), "Comparison of Models for Describing Corn Yield Response to Nitrogen Fertilizer," Agronomy Journal, 82, 138-143.
4. Davidian, M., and Giltinan, D. M. (2003), "Nonlinear Models for Repeated Measurement Data: An Overview and Update," Journal of Agricultural, Biological, and Environmental Statistics, 8, 387-419.
5. Delyon, B., Lavielle, M., and Moulines, E. (1999), "Convergence of a Stochastic Approximation Version of the EM Algorithm," The Annals of Statistics, 27, 94-128.
6. Dempster, A. R, Laird, N. M., and Rubin, D. B. (1977), "Maximum Likelihood From Incomplete Data via the EM Algorithm" (with discussion) Journal of the Royal Statistical Society, Series B, 39, 1-38.
7. Kuhn, E., and Lavielle, M. (2004), "Coupling a Stochastic Approximation Version of EM with a MCMC Procedure," ESAIM Probability and Statistics, 8, 115-131.
8. Louis, T. A. (1982), "Finding the Observed Information Matrix When Using the EM Algorithm," Journal of the Royal Statistical Society, Series B, 44, 226-233.
9. Makowski, D., and Wallach, D. (2002), "It Pays to Base Parameter Estimation on a Realistic Description of Model Errors," Agronomie, Agriculture, & Environment, 22, 179-189.
10. Makowski, D., Wallach, D., and Meynard, J.-M. (1999), "Models of Yield, Grain Protein, and Residual Mineral Nitrogen Responses to Applied Nitrogen for Winter Wheat;" Agronomy Journal, 91, 377-385.
11. Mombiela, F., Nicholaides, III, J.J., and Nelson, L. A. (1981), "A Method to Determine the Appropriate Mathematical Form for Incorporating Soil Test Levels in Fertilizer Response Models for Recommendation Purposes;" Agronomy Journal, 73, 937-941.
12. Monod, H., Makowski, D., Sahmoudi, M., and Wallach, D. (2002), "Optimal Experimental Designs for Estimating Model Parameters, Applied to Yield Response Models," Agronomie, Agriculture & Environment, 22, 229-338.
13. Pinheiro, J. C., and Bates, D. M. (2000), Mixed-Effects Models in S and S-PLUS, New-York: Springer-Verlag.
14. Sain, G. E., and Jauregui, M. A. (1993), "Deriving Fertilizer Recommendations With a Flexible Functional Form," Agronomy Journal, 85, 934-937.
15. S-Plus 6 (2001), A Guide to Statistics (Vol 2), Seattle: Insightful Corporation.
16. Wallach, D. (1995), "Regional Optimization of Fertilization Using a Hierarchical Linear Model," Biometrics, 51, 338-346.
17. Wu, C.-F., J. (1983), "On the Convergence Properties of the EM Algorithm," The Annals of Statistics, 11, 95-103.