Simplicity out of complexity in environmental modelling: Occam's razor revisited.

While large models based on a deterministic-reductionist philosophy have an important part to play in environmental research, it is advantageous to consider alternative modelling methodologies which overtly acknowledge the poorly defined and uncertain nature of most environmental systems. The paper discusses this topic and presents an integrated statistical modelling procedure which involves three main methodological tools: uncertainty and sensitivity studies based on Monte Carlo simulation techniques; dominant mode analysis using a new method of combined linearization and model-order reduction; and data-based mechanistic modelling. This novel approach is illustrated by two practical examples: modelling the global carbon cycle in relation to possible climate change; and modelling a horticultural glasshouse for the purposes of automatic climate control system design.

[1]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[2]  R. C. Spear,et al.  The application of Kolmogorov–Rényi statistics to problems of parameter uncertainty in systems design† , 1970 .

[3]  H. Oeschger,et al.  A box diffusion model to study the carbon dioxide exchange in nature , 1975 .

[4]  P. Young Some observations on instrumental variable methods of time-series analysis , 1976 .

[5]  Peter E. Wellstead,et al.  An instrumental product moment test for model order estimation , 1978, Autom..

[6]  P. Young,et al.  Refined instrumental variable methods of recursive time-series analysis Part I. Single input, single output systems , 1979 .

[7]  Anthony J. Jakeman,et al.  An instrumental variable method for model order identification , 1980, Autom..

[8]  Thomas Kailath,et al.  Linear Systems , 1980 .

[9]  B. Moore Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[10]  G. Hornberger,et al.  Approach to the preliminary analysis of environmental systems , 1981 .

[11]  Peter C. Young,et al.  Recursive Estimation and Time Series Analysis , 1984 .

[12]  Peter C. Young,et al.  The Instrumental Variable Method: A Practical Approach to Identification and System Parameter Estimation , 1985 .

[13]  Peter C. Young,et al.  Direct digital and adaptive control by input-output state variable feedback pole assignment , 1987 .

[14]  Michael Zeitz,et al.  Comments on ‘Comparative study of non-linear state-observation techniques’ , 1987 .

[15]  G. Watson,et al.  Computer simulation , 1988 .

[16]  Peter C. Young,et al.  Recursive Estimation, Forecasting, and Adaptive Control , 1989 .

[17]  Karel J. Keesman,et al.  Set Membership Approach to Identification and Prediction of Lake Eutrophication , 1990 .

[18]  R. Oglesby,et al.  Sensitivity of the equilibrium surface temperature of a GCM to systematic changes in atmospheric carbon dioxide , 1990 .

[19]  P. Young,et al.  Environmetric time-series analysis: modelling natural systems from experimental time-series data. , 1991, International journal of biological macromolecules.

[20]  Peter C. Young,et al.  True digital control: A unified design procedure for linear sampled data control systems , 1991 .

[21]  Peter C. Young,et al.  Identification, Estimation and Control of Continuous-Time Systems Described by Delta Operator Models , 1991 .

[22]  Peter C. Young,et al.  TDC: A Computer Aided Control System Design Package for True Digital Control , 1991 .

[23]  Keith Beven,et al.  The future of distributed models: model calibration and uncertainty prediction. , 1992 .

[24]  T. Wigley,et al.  Implications for climate and sea level of revised IPCC emissions scenarios , 1992, Nature.

[25]  Peter C. Young,et al.  Parallel Processes in Hydrology and Water Quality: A Unified Time‐Series Approach , 1992 .

[26]  Keith Beven,et al.  Prophecy, reality and uncertainty in distributed hydrological modelling , 1993 .

[27]  P. Young,et al.  Time variable and state dependent modelling of non-stationary and nonlinear time series , 1993 .

[28]  R. Huggett,et al.  Modelling the Human Impact on Nature: Systems Analysis of Environmental Problems , 1993 .

[29]  Peter C. Young,et al.  Data-based mechanistic modelling and the rainfall-flow non-linearity. , 1994 .

[30]  Peter C. Young,et al.  Modelling and PIP control of a glasshouse micro-climate , 1994 .