University of California

Regional location of cattle feeding — A spatial equilibrium analysis


G. A. King
L. F. Schrader

Authors Affiliations

G. A. King was Associate Professor of Agricultural Economics, and Associate Economist in the Agricultural Experiment Station and on the Giannini Foundation, Davis; L. F. Schrader was formerly Assistant Specialist in the Agricultural Experiment Station, and is now Research Economist, Lever Brothers Company, New York.

Publication Information

Hilgardia 34(10):331-416. DOI:10.3733/hilg.v34n10p331. July 1963.

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This study focuses on factors affecting the regional location of cattle feeding. Briefly stated, these factors include the regional demand for beef, transfer costs for carcass beef and for the intermediate products of feeds and feeder cattle, feed conversion efficiency by region, and regional supplies of the intermediate products of concentrate feed, hay, and feeder cattle. The study is a partial equilibrium approach to the location of feedlots, taking as given the location of production of other livestock products.

A competitive equilibrium model was developed for analyzing the location of cattle feeding for a 20-region breakdown of the United States for the 1957-58 feeding year. A linear programming technique was utilized to quantify the model. The solution generated provides the spatial distribution of cattle feeding by region, the pattern of interregional shipments of intermediate products and of carcass beef, a set of equilibrium prices for beef, and imputed prices for intermediate products by region.

Four models were quantified to test alternative model specifications as to feedlot nonfeed costs, regional feed conversion efficiency, and regional demand for beef. Results indicate no simple rules for location of cattle feeding, but rather stress the importance of considering the interrelationships among the major variables such as the regional demand for beef, regional intermediate product supply, regional feed conversion efficiency, and transfer costs for the intermediate products and for carcass beef.

Literature Cited

Adams R. L. Farm management livestock manual. 1954. rev. ed. Berkeley: Univ. of California Press.

Baumol William J. Spatial equilibrium with supply points separated from markets and with supplies predetermined 1952. Rept. under contract with the U. S. Dept. of Agr., Bur. of Agr. Econ. (Hectographed.)

Beckmann Martin. A continuous model of transportation. Econometrica. 1952. 20(4):643-60. DOI: 10.2307/1907646 [CrossRef]

Dennis C. C., Sammet L. L. Interregional competition in the frozen strawberry industry. Hilgardia. 1961. 31(15):499-611. DOI: 10.3733/hilg.v31n15p499 [CrossRef]

Dorfman Robert, Samuelson Paul A., Solow Robert M. Linear programming and economic analysis. 1958. New York: McGraw-Hill Book Co., Inc.

Dunn Edgar. The location of agricultural production. 1954. Gainesville: Univ. of Florida Press.

Foote R. J., Fox K. A. Seasonal variation: methods of measurement and tests of significance. U. S. Dept. of Agr., Agr. Handbook 48 1952.

Fox K. A., Taeuber R. C. Spatial equilibrium models of the livestock-feed economy. Amer. Econ. Rev. 1955. 45(4):584-608. DOI: 10.2307/1907922 [CrossRef]

Henderson James M. The efficiency of the coal industry. 1958. Cambridge: Harvard Univ. Press. DOI: 10.2307/1925558 [CrossRef]

Henry W. R., Bishop C. E. North Carolina broilers in interregional competition 1957. North Carolina State Coll. A.E. Inf. Ser. 56

Hoover Edgar M. Jr. Location theory and the shoe and leather industries. 1937. Cambridge: Harvard Univ. Press.

Hopkin J. A. Cattle feeding in California. 1957. San Francisco: Econ. Dept., Bank of America N.T. &; S.A. DOI: 10.2307/1234931 [CrossRef]

Isard Walter. Location and space-economy. 1956. Cambridge: The Technology Press of Massachusetts Inst. of Technology and John Wiley &; Sons, Inc., New York. DOI: 10.2307/1882135 [CrossRef]

Jennings R. D. Feed consumed by livestock, supply and disposition of feeds, 1949-50, by states 1954. U. S. Dept. of Agr. Stat. Bul. 145, Washington, D.C

Jennings R. D. The consumption of feed by livestock, 1909-56 1958. U. S. Dept of Agr. Prod. Res. Rept. 21

Judge G. G., Wallace T. D. Spatial price equilibrium analyses of the livestock economy, I. Methodological development and annual spatial analyses of the beef marketing sector. Oklahoma Agr. Exp. Sta. Tech. Bul. 1959. p.T-78.

King Gordon A. Regional supply and distribution of feed, 1957-58 1961. Berkeley, Giannini Found. Agr. Econ. Res. Rept. 248

King Gordon A. Economies of scale in large commercial feedlots 1962. Berkeley, Giannini Found. Agr. Econ. Res. Rept. 251

Koopmans Tjallings, Beckmann Martin. Assignment problems and the location of economic activities. Econometrica. 1957. 25(1):53-76. DOI: 10.2307/1907742 [CrossRef]

Lanahan Thomas J. Jr. “A Review of 1955 Survey Data on Household Meat Consumption”. National Food Situation. 1957. NFS-80:51-68. Agr. Marketing Serv., Wash., D.C

Lefeber Louis. Allocation in space: production, transport and industrial location. 1958. Amsterdam: North-Holland Publishing Company.

Lösch August. Die räumliche Ordnung der Wirtschaft. 1944. Jena: G. Fischer. Translated from the second revised edition by W. H. Woglom with the assistance of W. F. Stolper, The Economics of Location, Yale Univ. Press, New Haven, 1954

Mcglothlin Robert S. Hay and feed grains in the west. Arizona Agr. Exp. Sta. Bul. 1957. p.289.

Morrison F. B. Feeds and feeding, a handbook for the student and stockman. 1956. 22nd ed. Ithaca: The Morrison Publishing Co.

National Railway Publication Company. The official guide of the railways and steam navigation lines of the United States 1960.

Public Utilities Commission of the State of California. 1959. Minimum rate tariff No. 2 and Minimum rate tariff No. 3A. San Francisco

Rand Mcnally Company. Commercial atlas and marketing guide 1960. 1960, 91st ed., Chicago

Samuelson Paul A. International factor-price equilization once again. The Econ. J. 1949. 59(234):181-97.

Samuelson Paul A. Spatial price equilibrium and linear programming. Amer. Econ. Rev. 1952. 42(3):283-303.

Schrader L. F., King G. A. Regional location of beef cattle feeding. J. of Farm Econ. 1962. 44(1):64-81. DOI: 10.2307/1235487 [CrossRef]

Scott Frank S. Jr. Marketing aspects of western cattle finishing operations. Nevada Agr. Exp. Sta. Bul. 1955. p.190.

Snodgrass M. M., French C. E. Linear programming approach to the study of interregional competition in dairying. Indiana Agr. Exp. Sta. Bul. 1958. p.637.

Southern Pacific Company. Local and joint distance table no. 420-D. (loose leaf) San Francisco 1929.

Thunen Johann Heinrich Von. Der isolierte Staat in Beziehung auf Landwirtschaft und Nationalökonomie, dritte Auflage. 1930 ed. Jena: Gustav Fischer.

United States Agricultural Marketing Service. Crop production, 1958 annual summary 1958. Cr. Pr. 2-1-58 Wash., D.C

Thunen Johann Heinrich Von. Farm labor. La. 1959a. 1(1-59): Wash., D.C

Thunen Johann Heinrich Von. Milk production 1959b. Da 1-1 (6-59). Wash., D.C

Thunen Johann Heinrich Von. Livestock and Meat Statistics 1959c. Suppl. for 1958 to Stat. Bul. 230. Wash., D.C

Thunen Johann Heinrich Von. The marketing and transportation situation 1960. MTS-136. Wash., D.C

United States Bureau of the Census. Current population report, series P-25 1959a. p.210. Wash., D.C

Thunen Johann Heinrich Von. U. S. Imports of merchandise for consumption 1959b. FT 110. Wash., D.C

United States Department of Agriculture. Livestock and meat statistics 1958. 1957. Stat. Bul. 230. Wash., D.C

Thunen Johann Heinrich Von. Cattle and calves on feed. Stat. Bul. 1961. p.277. Wash., D.C

United States Department of Commerce. Survey of Current business 1960. August. Wash., D.C

United States Interstate Commerce Commission. Carload waybill analysis, state-to-state distribution of animals and products traffic and revenue, one per cent sample of terminations in the year 1958 1959. Wash., D.C

Wallace T. D., Judge G. G. Econmetric analysis of the beef and pork sectors of the economy. Oklahoma Agr. Exp. Sta. Tech. Bul. 1958. p.T-75.

Weber Alfred. Uber den Standort der Industrien, Tübingen; English translation with introduction and notes by Carl J. Friedrich, Alfred Weber’s Theory of the location of industries. 1909. Chicago: Univ. of Chicago Press. 1929

King G, Schrader L. 1963. Regional location of cattle feeding — A spatial equilibrium analysis. Hilgardia 34(10):331-416. DOI:10.3733/hilg.v34n10p331
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