Parameter sensitivities, monte carlo filtering, and model forecasting under uncertainty

Complex models are often used to make predictions of environmental effects over a broad range of temporal and spatial scales. The data necessary to adequately estimate the parameters of these complex models are often not available. Monte Carlo filtering, the process of rejecting sets of mode! simulations that fail to meet prespecified criteria of model performance, is a useful procedure for objectively establishing parameter values and improving confidence in model predictions. This paper uses a foodweb model to examine the relationship between model sensitivities and Monte Carlo filtering. Results show that Monte Carlo filtering with a behavior definition that is closely related to the sensitivity structure of the model will produce substantial reductions in model forecasting uncertainty.

[1]  George M. Hornberger,et al.  Selection of parameter values in environmental models using sparse data: A case study , 1985 .

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

[3]  M. B. Beck,et al.  Uncertainty and arbitrariness in ecosystems modelling: A lake modelling example , 1981 .

[4]  L. Shampine,et al.  Computer solution of ordinary differential equations : the initial value problem , 1975 .

[5]  Virginia H. Dale,et al.  Assessing regional impacts of growth declines using a forest succession model , 1987 .

[6]  John M. Reilly,et al.  Atmospheric CO2 Projections with Globally Averaged Carbon Cycle Models , 1986 .

[7]  George M. Hornberger,et al.  Modeling the Effects of Acid Deposition: Uncertainty and Spatial Variability in Estimation of Long‐Term Sulfate Dynamics in a Region , 1986 .

[8]  Rajko Tomović,et al.  Sensitivity analysis of dynamic systems , 1963 .

[9]  Robert V. O'Neill,et al.  Temporal Variation in Regulation of Production in a Pelagic Food Web Model , 1988 .

[10]  J. R. Trabalka,et al.  Methods of uncertainty analysis for a global carbon dioxide model , 1985 .

[11]  D. Kleinbaum,et al.  Applied Regression Analysis and Other Multivariate Methods , 1978 .

[12]  R. Spear Eutrophication in peel inlet—II. Identification of critical uncertainties via generalized sensitivity analysis , 1980 .

[13]  Gordon L. Swartzman,et al.  Comparison of Simulation Models Used in Assessing the Effects of Power-Plant-Induced Mortality on Fish Populations , 1977 .

[14]  Jerald L. Schnoor,et al.  Lake resources at risk to acidic deposition in the Upper Midwest , 1986 .