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Download Applications of Control Theory in Ecology: Proceedings of by Marc Mangel (auth.), Yosef Cohen (eds.) PDF

By Marc Mangel (auth.), Yosef Cohen (eds.)

Control thought should be approximately categorized as deterministic or stochastic. each one of those can extra be subdivided into online game conception and optimum keep watch over thought. The valuable challenge of keep an eye on thought is the so known as restricted maximization (which-­ with moderate modifications--is akin to minimization). you will then say, heuristically, that the key challenge of keep an eye on concept is to discover the utmost of a few functionality criterion (or criteria), given a collection of constraints. the start line is, after all, a mathematical illustration of the functionality criterion (or criteria)-­ also known as the target functional--along with the restrictions. whilst the target practical is unmarried valued (Le. , while there's just one goal to be maximized), then one is facing optimum keep watch over thought. whilst a couple of target is concerned, and the targets are as a rule incompatible, then one is facing online game conception. the 1st paper bargains with stochastic optimum keep an eye on, utilizing the dynamic programming process. the subsequent papers care for deterministic optimum keep an eye on, and the ultimate take care of functions of video game conception to ecological difficulties. In his contribution, Dr. Marc Mangel applies the dynamic proQramming process, as transformed via his contemporary work--with Dr. Colin Clark, from the college of British Columbia (Mangel and Clark 1987}*--to modelling the "behavioral judgements" of bugs. the target sensible is a degree of health. Readers drawn to designated improvement of the subject material might seek advice Mangel (1985). My contributions take care of purposes of optimum keep watch over theory.

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Read Online or Download Applications of Control Theory in Ecology: Proceedings of the Symposium on Optimal Control Theory held at the State University of New York, Syracuse, New York, August 10–16, 1986 PDF

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Extra info for Applications of Control Theory in Ecology: Proceedings of the Symposium on Optimal Control Theory held at the State University of New York, Syracuse, New York, August 10–16, 1986

Sample text

It is an open loop solution in a sense that there is no provision for variation during the growing season. In a closed loop solution the plant should evolve some mechanisms by which the predation rates and other environmental factors which influence growth are sensed through say plant growth rate, and the assessment of growth rate is used to trigger adjustment of the optimal growth. , the pattern of complete switching from growth of one tissue to another). It is conceivable that a growing plant has evolved mechanisms which allow closed loop optimization.

1982a. Multiple switches between vegetative and reproductive growth in annual plants. Theoretical Population Biology 21: 194204. , and J. Roughgarden. 1982. Graded allocation between vegetative and reproductive growth for annual plants in growing season of random length. Theoretical Population Biology 22: 1-16. A. Holowell. 1962. Response of crimson clover to different defoliation intensities. Crop Science 2: 124-127. Leitman, G. 1981. The Calculus of Variations and Optimal Control Theory. Plenum Press, New York.

This method is particularly appropriate for analysis and modeling of many biological processes during which there is a sudden switch from a particular level of the states to another. It allows derivation of the optimal continuous control and of the optimal time at which a switch from one level of states to another should occur. Three models are considered, two with optimal foraging on a non-renewable patchy resource, and one with renewable patchy resource. Optimal switching times between patches are derived explicitly for the former two and discussed for the latter.

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