Fifteen distinct simplification procedures for simulation models are presented with citations to their application. A guide to the application of those techniques indicates the order in which they are to be used in a given simplification exercise. Familiarity with these techniques can help practitioners produce simpler models during the initial construction effort.
Aiko, M.Controls of Large-Scale Dynamic Systems by Aggregation. IEEE Transactions on Automatic Control13 ( 1968), 246-253.
2.
Bover, D.C.C.AComputational Study of Several Problems in Stochastic Modelling. Thesis , Australian National University (1978 ).
3.
Bunge, M.The Myth of Simplicity: Problems of Scientific Philosophy. Prentice-Hall, Englewood Cliffs, New Jersey (1963).
4.
Buslenko, V.N.Universal Simulation Model of a Complex System . Soviet Physics-Doklady22 (1977), 114-115.
5.
Casti, J.Illusion or Reality? The Mathematics of Attainable Goals and Irreducible Uncertainties . International Journal of General Systems5 (1979), 75-92.
6.
Casti, J.Castrophics, Control and the Unpredictability of Spruce Budworm Outbreaks . Ecological Modelling14 (1979), 293-300.
7.
Cole, C.V., Innis, G.S., and Stewart, J.W.B.Simulation of Phosphorous Cycling in Semi-arid Grasslands. Ecology58 (1977), 1-15.
8.
Davison, E.J. AMethod for Simplifying Linear Dynamic Systems . IEEE Transactions on Automatic Control11 (1966), 93-101.
9.
Decoster, M. and Van Cauwenberghe , A.R. AComparative Study of Different Reduction Methods (Part 1). Journal A (Belgium) 17 (1976), 68-134.
10.
Diskin, M.H. and Simon, E.The Relationship Between the Time Bases of Simulation Models and Their Structure. Water Resources Bulletin15 (1979), 1716-1732.
11.
Falkenburg, D.R. Simtol: Simulation Program for Systems With Uncertain Parameters. See Hickman and Sinka (1978), 1095-1099.
12.
Forrester, J.W.Industrial Dynamics. MIT Press, Cambndge, Massachusetts (1961).
Fransz, H.G.The Functional Response to Prey Density in an Acarine System. Wagenin: Centre for Agricultural Publishing and Documentation (1974).
15.
Friedman, B.Lectures on Application-Oriented MathematicsHolden Day , San Francisco, California ( 1969 ).
16.
Gilbert, N. and Gutierrez, A.P. APlant-Aphid-Parasite Relationship. Journal of Animal Ecology42 (1973 ), 323-337.
17.
Gilbert, N., Gutierrez, A.P., Frazer, B.D., and Jones, R.E.Ecological Relationships. W.H. Freeman and Co., Reading (1976).
18.
Goodall, D.W.Setting Objectives for Ecological Research . Ecological Society of Australia5 ( 1975), 3-8.
19.
Hickman, J. and Sinka, N.K.Singular Perturbations and Aggregation Modelling and Simulation Vol. 8. Pt. 1. Proceedings of the Seventh Annual Pittsburgh Conference. Instrument Society of America (1978), 323-326.
20.
Holling, C.S. (ed.) Adaptive Environmental Assessment and Management. John Wiley and Sons, New York (1978).
21.
Hsu, D.A. and Hunter, J.S.Analysis of Simulation Generated Responses Using Autoregressive Models . Management Science24 (1977), 181-190.
22.
Ignall, E.J. , Kolesar, P., and Walker, W.E.Using Simulation to Develop and Validate Analytic Models: Some Case Studies. Operations Research269 (1978), 237-253.
23.
Innis, G.S.Role of Total Systems Modeling in the Grassland Biome Study. Chapter 2 in Systems Analysis and Simulation in Ecology ( B.C. Patten, ed.). Vol. III. Academic Press, New York (1975).
24.
Innis, G.S. and Haefner, J.W. ANeutral Model of Community Organization. Journal of Theoretical Biology86 ( 1980), 529-558.
25.
Innis, G.S. , Hanson, D.F., and Haefner, J.W. ASimulation Model of Management Alternatives in a Freshwater Fishery. Ecological Modelling12 (1981), 267-280.
26.
Kalman, R.E. ASystem Theoretic Critique of Dynamic Models. In Global and Large International Summer Seminar, Dubrovnik Yugoslavia. Vol. 19 (A.V. Balakrishnan and M. Thoma, eds.). Lecture Notes in Control and Information Sciences. Springer-Verlag, Berlin (1979), 3-24.
27.
Khil'Mi, G.G.Theoretical Forest Biogeophysics. Academy of Sciences, USSR (1957). Translated from Russian. Published for the National Science Foundation, Washington, D.C. by the Israel Program for Scientific Translations, Jerusalem1962.
28.
Kleijnen, J.P.C.Generalizing Simulation Results Through Meta Models. No. 77 (1977). 070 Katholicke Hogeschool Tilburg.
Levins, R.The Strategy of Model Building in Population Biology. American Scientist54 (1966), 421-431.
31.
Levins, R.Problems of Signed Digraphs in Ecological Theory. In Ecosystem Analysis and Prediction (S.A. Levins , ed.). Proceedings of SIAM-SIMS Conference ( 1974), 264-277.
32.
Ludwig, D., Jones, D.D., and Holling, C.S.Qualitative Analysis of Insect Outbreak Systems: The Spruce Budworm and Forest . Journal of Animal Ecology47 (1978), 315-332.
33.
Maciejowski, J.M.The Modelling of Systems With Small Observation Sets. Lecture Notes in Control and Information Sciences. Vol. 10 ( A.V. Balakrishnan and M. Thomas, eds.). Springer-Verlag, Berlin (1978).
34.
Marshal, S.A.An Engineering Approach to System Reduction . Fifth National Systems ConferenceLudhiana, India (1978).
35.
Mcgrath, E.J. and Irving, D.C.Application of Variance Reduction to Large Scale Simulation Models. Computers and Operations Research1 (1974), 283-311.
36.
Meisel, W.S. and Collins, D.C.Repro-modelling: An Approach to Efficient Model Utilization and Interpretation. IEEE Transactions on Systems, Man and CyberneticsSMC-3 (1973), 349-358.
37.
Niederre, H.Quasi-Monte Carlo Methods and Pseudorandom Numbers . American Mathematical Society84 (1978), 957-1041.
38.
O'Neill, R.V.Transmutation. In Systems Analysis of Ecosystems (G.S. Innis and R.V. O'Neill, eds.). International Co-operative Publishing House, Fairland, Maryland (1979).
39.
Paulik, E.Interdependence of Process Model and Simulation Tool. In Simulation of Control Systems (I. Troch, ed.). North Holland (1978), 17-24.
40.
Rexstad, E.A.Simplification Techniques Applied to a Population Bioenergetics Model . Unpublished MS Thesis, Utah State University, Logan (1981).
41.
Roach, W. and Wright, R.Optimal Antithetic Sampling Plans. Journal of Statistical Computation andSimulation5 ( 1977), 99-114.
42.
Rose, M.R. and Harmsen, R.Using Sensitivity Analysis to Simplify Models: A Case Study. Simulation31 (1978), 15-26.
43.
Sandell, R., Variaya, P., Athans, M., and Safonov, M.G.Survey of Decentralized Control Methods for Large Scale Systems. IEEE Transactions on Automatic Control AC-23 (1978), 108-128.
44.
Tausch, R.Allometric Analysis of Plant Growth in Woodland Communities. Unpublished PhD dissertation, Utah State University, Logan.
45.
Wiens, J.A. and Innis, G.S.Estimation of Energy Flow in Bird Communities: A Population Bioenergetic Model. Ecology55 (1974), 730-746.
46.
Witten, J.H. and Gaines, B.R.The role of Randomness in System Theory. In Progress in Cybernetics and Systems Research Vol. 3 ( R. Trappl, G J. Klir and G. Ricciardi). John Wiley and Sons, New York (1978), 11-18.
47.
Woodside, C.M.Scaling Analysis and Dimensional Analysis of Simulation Models. Simulation19 (1972), 51-54.
48.
Young, P., Hornberger, G., and Spear, R.Modelling Badly Defined Systems: Some Further Thoughts. Simulation Modelling Techniques and Applications (Proceedings of SIMSIG-78. Simulation Conference). Australian National University (1978), 24-32
49.
Zeigler, B.P.Structuring the Organization of Partial Models . International Journal of General Systems4 (1978), 81-88.
50.
Zeigler, B.P.Theory of Modelling and SimulationJohn Wiley and Sons, New York (1976 ).
