Modeling

Contents
1. Introduction ...............................................................................................1
1.1 What is a model? .................................................................................. 2
1.2 Introduction to the development of deterministic models .................... 5
1.3 Newtonian mechanics, partial differential equations, finite difference
equations and computer programs ............................................................... 6
1.4 When to use a model .......................................................................... 10
1.5 How a model relates to design problems ............................................ 11
1.6 Concluding remarks ............................................................................ 13
References ................................................................................................. 14
Bibliography .............................................................................................. 14
2. How to Discretize and Disaggregate, and More on Complexity ....... 15
2.1 Introduction ........................................................................................ 15
2.2 The procedure of discretization .......................................................... 15
2.3 Introduction to spatial discretization .................................................. 18
2.4 Introduction to temporal resolution .................................................... 19
2.5 More introductory discussion of model complexity ........................... 20
2.6 Brief introduction to data collection ................................................... 28
2.7 Introduction to graphical data management ........................................ 29
2.8 Summary ............................................................................................ 30
References ................................................................................................. 31
Bibliography .............................................................................................. 31
3. Reliability of Input Parameters, Good Input Data Files and
File Management.......................................................................... 33
3.1 Introduction ........................................................................................ 33
3.2 Short-term time series dataset for calibration. .................................... 34
3.3 Long-term dataset for inference.......................................................... 34
3.4 Categories of uncertain data ............................................................... 35
3.5 Some samples of well-documented data files ..................................... 52
3.6 Urban water systems GIS concepts .................................................... 58
3.7 Summary ............................................................................................ 60
References ................................................................................................. 60
Bibliography .............................................................................................. 60