Principles of Dynamic Optimization in Resource Management |
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| Authors: | John OS Kennedy |
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| Institution: | 1. Ecologist, US Geological Survey, Fort Collins Science Center, Fort Collins, CO 80526, USA;3. Spatial Data Analyst, US Geological Survey, Fort Collins Science Center, Fort Collins, CO 80526, USA;2. Assistant Professor, Department of Ecosystem Sciences, and Natural Resource Ecology Lab, Colorado State University, in cooperation with US Geological Survey, Fort Collins Science Center, Fort Collins, CO 80526, USA;1. Electronics and Telecommunication Department, Scientific Research and Advanced Studies Center of Ensenada (CICESE), Ensenada, BC, Mexico;2. Engineering, Architecture and Design Faculty, Autonomous University of Baja California (UABC), Ensenada, BC, Mexico;1. Hangzhou First People''s Hospital, Hangzhou, PR China;2. College of Computer and Information Engineering, Zhejiang Gongshang University, Hangzhou, PR China;3. Faculty of Education, The University of Hong Kong, HKSAR, PR China |
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| Abstract: | The type of resource problem amenable to static analysis is distinguished from that requiring dynamic analysis. Possibly due to the apparent complexity of optimal control theory methods, often dynamic models have not been applied where they would be appropriate. In this article dynamic programming arguments are used to derive optimality conditions directly and simply. They are derived for a renewable resource such as a fishery, but they have application to resource management in general. The approach is illustrated by examples to the extraction of a depletable resource, to feeding for weight gain, and to applying fertilizer when some fertilizer carriers over from one crop season to another. Conditions for the optimal replacement of biological units are also considered. |
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