. Dynamic theory of fisheries economics optimal control theoretic approach. Fish populations; Fishery management. 14 will stop at X". The reason that we have this path is that the necessary conditions (16) forced the population to cease growing, thus bringing the population to E along A'E. Practically however, this path A'E, may be of some importance in managing private or public lakes. At a certain stage, with a very small amount of catch of say, bass, in a lake, the fish population may be boosted to such an extent that drastic measures may be called for to bring the population back to s
. Dynamic theory of fisheries economics optimal control theoretic approach. Fish populations; Fishery management. 14 will stop at X". The reason that we have this path is that the necessary conditions (16) forced the population to cease growing, thus bringing the population to E along A'E. Practically however, this path A'E, may be of some importance in managing private or public lakes. At a certain stage, with a very small amount of catch of say, bass, in a lake, the fish population may be boosted to such an extent that drastic measures may be called for to bring the population back to some ecologically and biologi- cally desirable level. In this case, the path A'E is a desired path to follow. Also, there is a distinct possibility that similar control measure as this may be needed by a small country like New Zealand, for instance, once the two hundred mile territorial water is enforced to exclude the fishing fleet from other nations. This, however, belongs to a class of differential game problems and will be treated fully in the next paper. Figure 5 shows two (closed-loop) optimal catch control paths corres- 1 2 ponding to the initial fish populations of p^^ and 0 t Figure 5- Optimally Controlled Catch Paths. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Takayama, Takashi, 1929-; University of Illinois at Urbana-Champaign. College of Commerce and Business Administration. [Urbana, Ill. ] : College of Commerce and Business Administration, University of Illinois at Urbana-Champaign
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