SIEGEL ET AL. LINEAR PROGRAMMING APPROACH 



flounders would be likely candidates for rebuild- 

 ing. 



An area of further interest in this model is to 

 determine how sensitive the optimal solution (Ta- 

 ble 7) is to changes in the prices, bycatch ratios, 

 and quotas. If the optimal solution is not particu- 

 larly sensitive to changes in these parameters, 

 this means that it may not be necessary to be 

 overly concerned with very precise estimates of 

 technical parameters. Consequently, the bounds 

 on the technical parameters in the LP model may 

 not result in a large impact on changes in the 

 objective function. A sensitivity analysis was not 

 performed for this LP model, but the implication 

 for future research is that estimates of certain 

 technical parameters may not have to be as precise 

 as researchers believe before there is a significant 

 change in the optimal solution to the LP problem. 



SUMMARY 



The purpose of this paper was to discuss alterna- 

 tive approaches used to measure capacity, to de- 

 velop a definition of capacity for the harvesting 

 sector of the commercial fishing industry, and to 

 present a model that could be used to estimate this 

 capacity in a multispecies fishery. We have argued 

 that the concept of capacity contained in the 

 FCMA is identical to short-run economic output. 

 We feel the suggested methodology and the model 

 presented in this paper can be used to address the 

 issue of capacity in a multispecies fishery. The 

 model can be used to examine other scenarios than 

 presented here, by incorporating seasonal quotas, 

 alternative mesh sizes, and stock rebuilding con- 

 siderations. 



ACKNOWLEDGMENTS 



The authors express their appreciation for the 

 helpful suggestions and comments on the work to 

 Barrel Hueth, Joel Dirlam, and Ivar Strand. All 

 omissions and errors are, of course, the responsi- 

 bility of the authors. 



REFERENCES 



Clark, S. H., and B. E. Brown. 



1977. Changes in biomass of finfishes and squids from the 



Gulf of Maine to Cape Hatteras, 1963-74, as determined 

 from research vessel survey data. Fish. Bull., U.S. 

 75:1-21. 

 DeLEEUW, F. 



1961. The concept of capacity. American Statistical As- 

 sociation. Proc. Bus. Econ. Stat, Sect., p. 320-329. 



1966. A revised index of manufacturing capacity. Fed. 

 Reserve Bull. 52:1605-1615. 



Hertzberg, M. p., a. I. Jacobs, and J. E. Trevathan. 

 1974. The utilization of manufacturing capacity, 1965- 

 1973. Surv. Curr. Bus. 54(7);47-57. 



Klein, L. R. 



1960. Some theoretical issues in the measurement of 

 capacity. Econometrica 28:272-286. 



Klein, L. R., and R. S. Preston. 



1967. Some new results in the measurement of capacity 

 utilization. Am. Econ. Rev. 57(l):34-58. 



Klein, L. R,, and R. Summers. 



1966. The Wharton index of capacity utilization. Univ. 

 Pennsylvania, Wharton School of Finance, Dep. Econ., 

 Philadelphia, Pa., 94 p. 

 PERRY, G. L. 



1973. Capacity in manufacturing. Brookings Papers on 

 Economic Activity 3:701-742. 

 PHILLIPS, A. 



1963. Industrial capacity: an appraisal of measures of 

 capacity. Am. Econ. Rev. 53(21:275-292. 



Quance, L., and L. Tweeten. 



1972. Excess capacity and adjustment potential in U.S. 

 agriculture. Agric. Econ. Res. (U.S. Dep. Agric.) 

 24(31:57-66. 

 RADDOCK, R. D., and L. R. FOREST. 



1976. New estimates of capacity utilization: manufactur- 

 ing and materials. Fed. Reserve Bull. 62:892-905. 



Rothschild, B. J. 



1972. An exposition on the definition of fishing effort. In 

 Economic aspects of fish production, p. 257- 

 271. Organization for Economic Cooperation and De- 

 velopment, Paris. 



Rothschild, B. J., and J. W. Balsiger. 



1971. A linear-programming solution to salmon manage- 

 ment. Fish. Bull,, U.S. 69:117-140. 



Spielmann, H., and E. Weeks. 



1975. Inventory and critique of estimates of U.S. agricul- 

 tural capacity. Am. J. Agric. Econ. 57:922-928. 



U.S. BUREAU OF THE CENSUS. 



1976. Survey of plant capacity. 1975-MQ-Cl(75l-2. U.S. 

 Gov. Print. Off., Wash., DC 



U.S. DEPARTMENT OF COMMERCE. 



1971-77. Fishery statistics of the United States 1968 |to 

 19741. (Various editors and pagination.! National 

 Marine Fisheries Service. National Oceanic and Atmos- 

 pheric Administration. Wash.. DC 20235. 

 U.S. FISH AND WILDLIFE SERVICE. 



1957-1969. Fishery statistics ofthe United States 1955 [to 

 1967]. (Various editors and pagination.) 



Yeh. C, J., L. G. Tweeten. and C. L. Quance. 



1977. U.S. agricultural production capacity. Am. J. Ag- 

 nc. Econ. 59:37-48. 



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