Definition of modelling
A model is a representation containing the essential structure of some object or event in the real world. Mulligan (2004) gives a review of research, funded by the EU, into modelling desertification. He states that to produce a model is to produce a simplification of reality. The purpose of a model is to formalise understanding gained through data collection or theoretical advance and to explore the properties of that understanding (Mulligan, 2004). However, this describes models that aim at understanding a (complex) system. Other models exist that are more practical and aim to be eventually applied by policy- or decision-makers. Three types of models are distinguished: conceptual, physical and mathematical models. The latter are often divided in empirical and physically-based. In scientific research, models are used as a tool for simplifying, formalising and testing theories as well as for implementing predictions of scenarios for future changes. They can be a means of understanding the system, testing of hypotheses and prediction and scenario development (Mulligan, 2004).
Process of Modelling
Mathematical modelling is the use of mathematical language to describe the behaviour of a system. The following stages are involved in the modelling process (Mulligan, 2004):
- Model development
- Parameterisation
- Calibration
- Verification and validation
- Sensitivity analysis
- Simulation and scenarios
- Application
The process of verification and validation, while being one of the most important, is often neglected. Sensitivity analysis can assist in the understanding of the sensitivity of the real system and indicate which parameters are important and which are not. Eventually, a well understood, calibrated and validated model can be applied as a tool for (a) understanding the controls on some past change through comparison of modelled versus measured data, (b) simulation of future scenarios of change or (c) application to 'what if' type scenarios (Mulligan, 2004).