nonsubstitution dynamic model for optimal fertilizer

56
A Nonsubstitution Dynamic Model for Optimal Fertilizer Recommendations Edgar A. Lanzer, Quirino Paris and William A. Williams Department of Agricultural and Resource Economics University of California, Davis Giannini Foundation Monograph Number 41 May 1987

Upload: others

Post on 28-Feb-2022

1 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Nonsubstitution Dynamic Model for Optimal Fertilizer

A Nonsubstitution Dynamic Model for Optimal Fertilizer Recommendations

Edgar A. Lanzer, Quirino Paris and William A. Williams

Department of Agricultural and Resource Economics University of California, Davis

Giannini Foundation Monograph Number 41

May 1987

Page 2: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 3: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 4: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 5: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 6: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 7: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 8: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 9: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 10: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 11: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 12: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 13: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 14: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 15: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 16: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 17: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 18: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 19: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 20: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 21: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 22: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 23: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 24: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 25: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 26: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 27: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 28: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 29: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 30: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 31: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 32: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 33: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 34: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 35: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 36: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 37: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 38: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 39: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 40: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 41: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 42: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 43: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 44: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 45: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 46: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 47: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 48: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 49: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 50: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 51: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 52: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 53: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 54: Nonsubstitution Dynamic Model for Optimal Fertilizer
Page 55: Nonsubstitution Dynamic Model for Optimal Fertilizer

,_

MADDALA, G. S. 1977. Econometrics. New York: McGraw-Hill, Inc.

MADDALA, G. S. and F. D. NE~N 1974. Maximum likelihood methods for models of markets in a disequilibrium.

Econometrica, 42:1013-1030..

MANGASARIAN, OLVI L. 1969. Nonlinear programming. New York McGraw-Hill.

MITSCHERLICH, E. A 1909. Das gesetz des minimums und daa gesetz des abnehmenden bodenertrages.

Landwirtschaftliche J ahrbllcher~ 38~537-552.

MUNSON, L. D. and J. P. DOLL 1959. The economics offertilizer use in crop production. Advances in Agronomy,

Vol. XI. New York: Academic Press.

PERRIN, R. K. 1976. The value of information and the value of theoretical models in crop

response research. American Journal of Agricultural Economics, 58:54-61.

PESARAN, M. H. 1974. On the general problem of model selection. Review of Economic Studies,

41:153-172.

POIRIER, D.J. 1973a. Piecewise regression using cubic splines. Journal of the American Statistical

Association, 68:515-524.

1973b. A note on the use of linear splines in regression analysis. Unpublished manuscript, University of Wisconsin, Madison.

REDMAN, J.C. and S. Q. AIJ.EN 1954. Interrelationships of economic and agronomic concepts. Journal of Farm

Economics, 36:453-465.

ROUSE, R. D. 1968. Soil test theory and calibration for cotton, corn~ soybeans and coastal ber-

mudagraas. Auburn University Agricultural Experiment Station, Bulletin No. 375. Alabama.

RUS.SELL, E. J. 1973. Soil conditions and plant growth. 10th edition. London: Longmans.

RYAN, J. G. 1972. A generalized crop fertilizer production function. Ph.D. dissertation. North

Carolina State University, Raleigh.

SMITH, W. G. and W. L. PARKS 1967. A method for incorporating probability into fertilizer recommendations.

Journal of Farm Economics~ 49:1511-1515.

SPILLMAN, W. J. 1923. Application of the law of diminishing returns to some fertilizer and feed

data. Journal of Farm Economics, 5:36-52.

STAUBERJ M. S.t 0. R. BURT and F. LINSE 1975. Economic evaluation of nitrogen fertilization of grasses when carry-over is

significant. American Journal of Agricultural Economics, 57:463-471.

Page 56: Nonsubstitution Dynamic Model for Optimal Fertilizer