Concepts of Modelling

Publisher Summary This chapter reviews the modeling theory and its application in the development of models. It discusses model components as well as modeling steps, which include model conceptualization, mathematical formulation, parameter estimation and calibration, sensitivity analysis, and validation. Various methods to select “close to the right” complexity of the model are presented. Several model formulations are always available, and to choose among these requires sound scientific constraints to be imposed on the model. Many different model types with different advantages and disadvantages are available. The selection of the best model type for well-defined ecological or environmental management problems are discussed in the chapter.

[1]  Sven Erik Jørgensen,et al.  Development of models able to account for changes in species composition , 1992 .

[2]  M. Gromiec Modelling biochemical processes in aquatic ecosystems: Raymond P. Canale (Editor). Ann Arbor Science Publishers, Ann Arbor, MI 48106, U.S.A., 1976, viii + 389 pp., £ 15.55, U.S. $ 24.75, ISBN: 250-401045 , 1979 .

[3]  G. Woodwell,et al.  DDT Residues in an East Coast Estuary: A Case of Biological Concentration of a Persistent Insecticide , 1967, Science.

[4]  Bernard P. Zeigler,et al.  Theory of Modelling and Simulation , 1979, IEEE Transactions on Systems, Man and Cybernetics.

[5]  Sven Erik Jørgensen,et al.  Parameters, ecological constraints and exergy , 1992 .

[6]  Sven Erik Jørgensen,et al.  Ecological buffer capacity , 1977 .

[7]  Donald Scavia,et al.  An ecological model of Lake Ontario , 1980 .

[8]  F. Sklar,et al.  Articulation, accuracy and effectiveness of mathematical models: A review of freshwater wetland applications☆ , 1985 .

[9]  J. N. R. Jeffers,et al.  An introduction to systems analysis, with ecological applications , 1980 .

[10]  Gene E. Likens,et al.  The assumptions and rationales of a computer model of phytoplankton population dynamics1 , 1975 .

[11]  R. Peters The Ecological Implications of Body Size , 1983 .

[12]  H. Unbehauen,et al.  Model order estimation and system identification theory and application to the modelling of 32P kenetics within the trophogenic zone of a small lake , 1979 .

[13]  S. Jørgensen Handbook of Ecological Parameters and Ecotoxicology , 1991 .

[14]  S. Jørgensen Modelling the distribution and effect of heavy metals in an aquatic ecosystem , 1979 .

[15]  B. C. Patten Environs: Relativistic Elementary Particles for Ecology , 1982, The American Naturalist.

[16]  E. S. Quade,et al.  A Sample Glossary of Systems Analysis , 1978 .

[17]  S. Jørgensen Integration of Ecosystem Theories: A Pattern , 1994, Ecology & Environment.

[18]  S. Jørgensen Theoretical systems ecology: Efraim Halfon (Editor). Academic Press, New York-San Francisco-London, 1979, 516 pp., illustrated, U.S. $ 43.00, ISBN 0-12-318750-8 , 1981 .

[19]  R. Brandes An aquatic ecologic model for Texas bays and estuaries. , 1976 .

[20]  Efraim Halfon,et al.  Error Analysis and Simulation of Mirex Behaviour in Lake Ontario , 1984 .

[21]  Tom Fenchel,et al.  Intrinsic rate of natural increase: The relationship with body size , 1974, Oecologia.

[22]  D. L. Scarnecchia,et al.  Fundamentals of Ecological Modelling , 1995 .

[23]  S. Jørgensen An ecological model for heavy metal contamination of crops and ground water , 1976 .

[24]  Sven Erik Jørgensen,et al.  Ecosystem theory, ecological buffer capacity, uncertainty and complexity , 1990 .

[25]  Sven Erik Jørgensen,et al.  A holistic approach to ecological modelling , 1979 .

[26]  Howard T. Odum,et al.  Trophic Structure and Productivity of Silver Springs, Florida , 1957 .

[27]  E. Halfon Modelling the fate of mirex and lindane in Lake Ontario, off the Niagara river mouth , 1986 .

[28]  Robert E. Ulanowicz,et al.  PREDICTION, CHAOS, AND ECOLOGICAL PERSPECTIVE , 1979 .

[29]  Daniel S. Szumski,et al.  A food chain model of cadmium in western lake Erie , 1974 .

[30]  Curtis H. Flather,et al.  Fitting species-accumulation functions and assessing regional land use impacts on avian diversity , 1996 .

[31]  Sven Erik Jørgensen,et al.  A eutrophication model for a lake , 1976 .

[32]  Sven Erik Jørgensen,et al.  Parameter estimation in eutrophication modelling , 1981 .

[33]  R. Thomann Physio-Chemical and Ecological Modeling the Fate of Toxic Substances in Natural Water Systems , 1984 .

[34]  Bernard C. Patten,et al.  ENERGY CYCLING IN THE ECOSYSTEM , 1985 .

[35]  E. Odum Fundamentals of ecology , 1972 .

[36]  A Koestler,et al.  Ghost in the Machine , 1970 .

[37]  Sven Erik Jørgensen,et al.  Use of models as experimental tool to show that structural changes are accompanied by increased exergy , 1988 .

[38]  Efraim Halfon,et al.  Is there a best model structure? II. Comparing the model structures of different fate models , 1983 .

[39]  M. B. Beck,et al.  Water quality modeling: A review of the analysis of uncertainty , 1987 .

[40]  Sven Erik Jørgensen,et al.  Structural dynamic model , 1986 .

[41]  B. C. Patten,et al.  Ecosystems emerging:: 4. growth , 2000 .

[42]  Sven Erik Jørgensen,et al.  Examination of a lake model , 1978 .

[43]  E. Odum The strategy of ecosystem development. , 1969, Science.

[44]  Milan Straškraba Natural control mechanisms in models of aquatic ecosystems , 2001 .

[45]  Sven Erik Jørgensen,et al.  Emergy, environ, exergy and ecological modelling , 1995 .