Hostname: page-component-7479d7b7d-c9gpj Total loading time: 0 Render date: 2024-07-09T00:30:00.835Z Has data issue: false hasContentIssue false

Estimation of Crop Production Relations and Their Use in Farm Planning

Published online by Cambridge University Press:  03 October 2008

C. Barlow
Affiliation:
University of Aberdeen*

Summary

Although all methods of planning for the maximization of farm profits require knowledge of the basic ‘input-input’ and ‘input-output’ relationships, particularly detailed information is required when using linear programming. Specially designed crop experiments are one major source of such information, but it is important that each experiment should include all major interacting variables, since the response curves estimated from the data, and the relationships extracted from these curves, will otherwise be of little use for determining economic optimum input combinations. Where the matter of interest is the most likely production response, under the planning conditions envisaged, the best available estimate will usually be the average response estimated from a sample of experiments distributed randomly within the conditions. In each experiment of such a sample, the variables being examined should be at the same series of input levels, whilst other variables which are not of interest, but can be controlled, should be held constant at the same general level. With respect to the design of experiments established to generate production relationships, complete factorial and composite or rotatable arrangements are considered to be most suitable, although each of the types has certain disadvantages. Regarding the derivation of ‘input-input’ and ‘input-output’ relationships from the response curve fitted to the data obtained from such experiments, it is felt that this curve should first be ‘scaled down’, to allow both for the more favourable experimental conditions and for losses between the field and the point of use. After this, a number of individual production relationships should be selected, on that portion of the curve expected to be of economic interest. The relationships can then be employed in a linear programming procedure designed to generate a farm plan incorporating that combination of enterprises likely to earn the maximum profit.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1966

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Box, G. E. P. & Hunter, J. S. (1957). Ann. Math. Statist. 28, 195.Google Scholar
Davies, O. L. (Ed.) (1960). The Design and Analysis of Industrial Experiments. London: Oliver and Boyd.Google Scholar
Davies, O. L. (Ed.) (1961). Statistical Methods in Research and Production. London: Oliver and Boyd.Google Scholar
Dorfman, R., Samuelson, P. A. & Solow, R. M. (1958). Linear Programming and Economic Analysis. New York: McGraw Hill.Google Scholar
Heady, E. O. & Candler, W. (1960). Linear Programming Methods. Ames, Iowa: Iowa State University Press.Google Scholar
Heady, E. O. & Dillon, J. L. (1961). Agricultural Production Functions. Ames, Iowa: Iowa State University Press.Google Scholar
Johnson, G. L. (1956). In Methodological Procedures in the Economic Analysis of Fertilizer Use Data. Ames, Iowa: Iowa State College Press.Google Scholar
Moore, D. P.Harward, M. E., Mason, D. D., Hader, R. J., Lott, W. L., & Jackson, W. A. (1957). Proc. Soil Sci. Soc. Amer. 21, 65.CrossRefGoogle Scholar
Reith, J. W. S. & Inkson, R. H. E. (1958). J. Agric. Sci. 51, 218.CrossRefGoogle Scholar
Reith, J. W. S. & Inkson, R. H. E. (1961). J. Agric. Sci. 56, 17.CrossRefGoogle Scholar
Yates, F. & Cochran, W. G. (1938). J. Agric. Sci. 28, 556.CrossRefGoogle Scholar