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    MATHEMATICAL SYSTEM THEORY AND THE ECOSYSTEM CONCEPT, AN APPROACH TO MODELLING WATERSHED BEHAVIOR

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    Author
    Rogers, James Joseph, 1942-
    Affiliation
    Department of Hydrology & Water Resources, The University of Arizona
    Issue Date
    1971-06
    Keywords
    Ecology -- Mathematical models.
    Biomathematics
    Water resources development -- United States.
    Watershed management -- Mathematical models.
    
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    Publisher
    Department of Hydrology and Water Resources, University of Arizona (Tucson, AZ)
    Rights
    Copyright © Arizona Board of Regents
    Collection Information
    This title from the Hydrology & Water Resources Technical Reports collection is made available by the Department of Hydrology & Atmospheric Sciences and the University Libraries, University of Arizona. If you have questions about titles in this collection, please contact repository@u.library.arizona.edu.
    Abstract
    This study explores the possible role of mathematical system theory in integrating existing ecological knowledge within the existing concepts of the structure of the biosphere. The objective of this integration is a theory of ecosystems which must include interactions. The basic unit of the biosphere is the biogeocoenose; similar to the ecosystem, but homogeneous with respect to topographic, microclimatic, vegetation, animal, pedalogical, hydrological and geochemical conditions. The role of the biogeocoenose in a theory of ecosystems based on system theory is discussed. The biogeocoenose may serve as the building block for modeling watersheds as ecosystems. The fundamentals of system theory are reviewed. As an example, an analysis and synthesis of the arid zone water balance follows. The water balance is resolved into twenty components which represent the water balance of (1) the canopy, (2) the mulch, (3) the soil surface, (4) the soil, and (5) the plant, including interactions. The twenty components were modeled as separate systems which were later coupled into one overall, complex, well defined ecosystem water balance system. The example illustrates the role of system theory in integrating ecological knowledge. Further discussion indicates the need for explicitly including plant behavior in the water balance model.
    Series/Report no.
    Technical Reports on Hydrology and Water Resources, No. 03
    Sponsors
    I wish to acknowledge the guidance of Dr. Hasan K. Qashu, whose discussions helped greatly in determining my objectives, Dr. Chester C. Kisiel for providing valuable reference material, Dr. D. D. Evans for providing financial support when needed, and Dr. A. Wayne Wymore, whose stimulating lectures provided the framework for the entire thesis. I also wish to acknowledge the support of an NDEA Title IV Fellowship while on extended leave without pay from the United States Forest Service. Finally, I wish to thank my wife, Alviria, for providing encouragement and Faith and Michelle for providing frequent interruptions.
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