10.2190/EJH4-KQQD-NU17-X4BU EJH4KQQDNU17X4BU 5 Applications of Stochastic Methods in Eutrophication 343 353 20020509 20020509 20020509 20020509 EJH4KQQDNU17X4BU.pdf http://baywood.metapress.com/link.asp?target=contribution&id=EJH4KQQDNU17X4BU 4 Lorne G. Everett Guenton C. Slawson General Electric—TEMPO, Center for Advanced Studies Ecological Sciences Division, NUS Corporation Recognition of man's increasing power to affect his environment has resulted in formulation of mathematical models to describe physicochemical-biological interactions. Stochastic theory can be applied to deterministic models of eutrophication to include consideration of the inherent variability of biological responses. A conceptual model format for this stochastic simulation is presented. J. K. Feibleman, <i>Scientific Method</i>, Martinus Nijhoffs, Hague, Netherlands, 1972. National Academy of Sciences, Eutrophication: Causes, Consequences, Correctives, National Academy of Sciences, Washington, D. C., 1969. B. C. Patten, Ecological Systems Anlaysis and Fisheries Science, Trans, of Am. Fish. Soc, 98(3), 1969. L. G. Everett, A Mathematical Model of Primary Productivity and Limnological Patterns in Lake Mead, Natural Resource Systems Technical Report No. 13, Department of Hydrology and Water Resources, University of Arizona, Tucson, 1972. D. M. DiToro, D. J. O'Connor and R. V. Thomann, A Dynamic Model of Phytoplankton Population in the Sacramento-San Joaquin Delta, American Chemistry Society, <i>Nonequilibrium Systems in Natural Water Chemistry</i>, Advances in Chemistry Series, 106, American Chemistry Society, Washington, D. C., 1970. C. W. Chen and G. T. Orlob, A Proposed Ecological Model for a Eutrophying Environment, Report to the FWPCA by Water Resources Engineers, Walnut Creek, California, 1968. C. W. Chen and G. T. Orlob, Ecological Simulation for Aquatic Environments. Report to the Office of Water Resources Research by Water Resources Engineers, Walnut Creek, California, 1972. R. Lewontin, <i>The Genetic Basis of Evolution</i>, Columbia University Press, New York, 1974. A. T. Bharucha-Reid, <i>Elements of the Theory of Markov Processes and Their Applications</i>, McGraw-Hill, New York, 1960. A. W. Wymore, <i>A Mathematical Theory of Systems Engineering: The Elements</i>, John Wiley and Sons, New York, 1967. A. W. Wymore, A Notebook of Systems Engineering Methodology, Unpublished manuscript, University of Arizona, Tucson, 1970. F. S. Hillier and G. J. Lieberman, <i>Introduction to Operations Research</i>, Holden-Day, Inc., San Francisco, 1970. W. A. Beyer, D. R. Harris and R. J. Ryan, A Stochastic Model of the Isle Royale Biome, Los Alamos Scientific Lab Reprint LA-CC-12961, 1972. M. S. Bartlett, On Theoretical Models for Competitive and Predatory Biological Systems, <i>Biometrica, 44</i>, pp. 22-42, 1957.