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Alternative Procedures for Estimating the Size Distribution of Farms

Published online by Cambridge University Press:  10 May 2017

R. N. Stavins  and
B. F. Stanton
R. N. Stavins
Affiliation:
University of California, Berkeley
B. F. Stanton
Affiliation:
Cornell University
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Extract

Changes in the number and size distribution of dairy farms in the Northeast have come rapidly in the years since World War II. The objective of this study was to examine some of the newer methods of forecasting changes in this size distribution and ascertain the gains, if any, associated with these methods. Different formulations using Markov processes were compared with simple trend analyses and various functional forms in making projections. During the twenty-year period between 1958 and 1977 the number of farms delivering milk to plants in New York State decreased from slightly more than 45,800 to 16,500, a net decrease of approximately 64 percent. Over the same twenty-year period, annual milk production fluctuated between 9.8 and 11.0 billion pounds with a peak in 1965 and a low point in 1973. During the last five years, 1975–79, the number of farms delivering milk has continued to decline but milk production the the State has increased yearly and is expected to reach an all-time high in 1980. Such structural changes in the dairy industry have stimulated continued interest in problems of milk supply response and future variations in the size distribution of farms.

Type
Contributed Papers
Information
Journal of the Northeastern Agricultural Economics Council , Volume 9 , Issue 2 , October 1980 , pp. 36 - 40
Copyright
Copyright © Northeastern Agricultural and Resource Economics Association 

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Footnotes

The research is more fully reported in Stavins’ thesis. The authors wish to recognize the important contributions of K. L. Robinson throughout the research effort and in editing and revising this article.

References

Aitchison, J., and Brown, J. A. C., The Lognormal Distribution, Cambridge, England: Cambridge University Press, 1957.Google Scholar
Anderson, T. W., and Goodman, Leo A., “Statistical Inference About Markov Chains,” The Annals of Mathematical Statistics, 28(1957): 89–110.Google Scholar
Boxley, Robert F., “Farm Size and the Distribution of Farm Numbers,” Agricultural Economics Research, 23(1971): 87–94.Google Scholar
Ching, C. T. K., Davulis, J. P., and Frick, G. E., “An Evaluation of Different Ways of Projecting Farm Size Distributions,” Journal of the Northeastern Agricultural Economics Council, 3(1974): 14–22.Google Scholar
Colman, David R., “The Application of Markov Chain Analysis to Structural Change in the Northwest Dairy Industry,” Journal of Agricultural Economics (British), 18 (1967): 351–361.Google Scholar
Conneman, George J., and Harrington, D. H., “Implications of Exit and Entry of Farm Firms in Agricultural Supply Analysis,” Agricultural Economics Research, 21(1969): 40–44.Google Scholar
Dent, Warren T., and Ballintine, Richard, “A Review of the Estimation of Transition Probabilities in Markov Chains,” Australian Journal of Agricultural Economics, 15 (1971): 69–81.Google Scholar
Dovring, Folke, “Distribution of Farm Size and Income: Analysis by Exponential Functions,” Land Economics, 49(1973): 133–147.Google Scholar
Dovring, Folke, Income and Wealth Distributions: The Exponential Functions, Department of Agricultural Economics, AE-4212, University of Illinois, 1969.Google Scholar
Duncan, George T., and Lizbie, G. Lin, “Inference for Markov Chains Having Stochastic Entry and Exits,” Journal of the American Statistical Association, 67(1972): 761–767.Google Scholar
Furniss, I. F., and Gustafson, Bengt, “Projecting Canadian Dairy Farm Structure Using Markov Processes,” Canadian Journal of Agricultural Economics, 16(1968): 64–78.Google Scholar
Hallberg, Milton C., “Estimation of Regression Parameters with the Predicted Dependent Variable Restricted in a Certain Range: A Reply,” American Journal of Agricultural Economics, 52(1970): 615.Google Scholar
Hallberg, Milton C., “Projecting the Size Distribution of Agricultural Firms—An Application of a Markov Process with Non-Stationary Transition Probabilities,” American Journal of Agricultural Economics, 51(1969): 289–302.Google Scholar
Hart, P. E., and Prais, S. J., “The Analysis of Business Concentration: A Statistical Approach,” Journal of the Royal Statistical Society, Series A. 119 (1956): 150–181.Google Scholar
Judge, G. G. and Swanson, E. R., Markov Chains: Basic Concepts and Suggested Uses in Agricultural Economics, Department of Agricultural Economics. AERR-49, University of Illinois, 1961.Google Scholar
Kemeny, J. G., Snell, J. L., and Knapp, A. W., Denumberable Markov Chains, Princeton: D. Van Nostrand, 1966.Google Scholar
Krenz, Ronald D., “Projection of Farm Numbers for North Dakota with Markov Chains,” Agricultural Economics Research, 21(1964): 77–83.Google Scholar
Lee, Tsoung-Chao, “Estimation of Regression Parameters with the Predicted Dependent Variable Restricted in a Certain Range: A Comment,” American Journal of Agricultural Economics, 52(1970): 613–615.Google Scholar
Lee, T. C., Judge, G. G., and Zellner, A., Estimating the Parameters of the Markov Probability Model from Aggregate Time Series Data, Amsterdam: North-Holland Publishing Company, 1977.Google Scholar
Power, A. P., and Harris, S. A., “An Application of Markov Chains to Farm-Type Structural Data in England and Wales,” Journal of Agricultural Economics (British), 22 (1971): 163–177.Google Scholar
Quandt, Richard E., “On the Size Distribution of Firms,” American Economic Review, 56(1966): 416–432.Google Scholar
Revuz, D., Markov Chains, Amsterdam: North-Holland Publishing Company, 1975.Google Scholar
Salem, Ali Ben Zaid, “Firm Size and Changes in Industrial Structure: An Econometric Analysis of the Dairy Industry in New York State,” Ph.D. Thesis, Cornell University, 1973.Google Scholar
Salkin, Michael S., Just, Richard E., and Cleveland, O. A. Jr., “Estimation of Nonstationary Transition Probabilities for Agricultural Firm Size Projection,” Annals of Regional Science, 10(1973): 71–82.Google Scholar
Stanton, Bernard F., and Kettunen, Lauri, “3,” Journal of Farm Economics, 49 (1967): 633–642.Google Scholar
Stavins, Robert N., “Forecasting the Size Distribution of Farms: A Methodological Analysis of the Dairy Industry in New York State,” M.S. thesis, Cornell University, 1979.Google Scholar
Tyrrell, Tim and Mount, Tim, An Application of the Multinomial Logit Model to the Allocation of Budgets in the U. S. Consumer Expenditure Survey for 1972, Department of Agricultural Economics, A. E. Staff Paper No. 78–20, Cornell University, 1978.Google Scholar