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Preface | p. viii |
Acknowledgements | p. x |
Introduction | p. 1 |
What if there was life on Mars? | p. 1 |
What is a model? | p. 2 |
Why use models | p. 4 |
Which model should I use? | p. 8 |
Determining what type of model to use | p. 9 |
Determining what type of mathematics to use in the model | p. 15 |
Choosing an existing model | p. 20 |
How is model made? | p. 21 |
Summary | p. 23 |
Problems | p. 24 |
How to develop a model | p. 26 |
Choose the type of model | p. 27 |
Why am I doing this? | p. 27 |
How should I do this? | p. 27 |
The principle of parsimony | p. 29 |
What do I do now? | p. 30 |
Draw up a conceptual model | p. 31 |
Draw a picture | p. 32 |
List all hypotheses | p. 33 |
List all assumptions | p. 33 |
Set the boundary conditions | p. 33 |
Attach a mathematical model | p. 35 |
The parts of a mathematical model | p. 36 |
Linking together fixed parameters and input variables | p. 36 |
Choosing the mathematical approach to derive the model | p. 38 |
Example | p. 40 |
Construct a computer model | p. 45 |
General Spreadsheets | p. 46 |
Specialist modelling software | p. 52 |
High-level programming languages | p. 55 |
And then...? | p. 61 |
Summary | p. 62 |
Problems | p. 63 |
Further reading | p. 65 |
References | p. 67 |
Web links | p. 67 |
How to evaluate a model | p. 69 |
Decide what type of evaluation is needed | p. 70 |
Plot the results (graphical analysis) | p. 71 |
Plots to reveal the accuracy of the simulation | p. 72 |
Plots to illustrate the behaviour of the model components | p. 76 |
Plots to establish the important model components | p. 78 |
Calculate the accuracy of the simulation (quantitative analysis) | p. 81 |
Analysis of coincidence | p. 84 |
Analysis of association | p. 94 |
An example of the use of statistics to assess the accuracy of a model: the model of soil carbon change on Mars | p. 98 |
Examine the behaviour of the model (sensitivity analysis) | p. 106 |
What is sensitivity analysis and why is it important? | p. 106 |
Methods used in sensitivity analysis | p. 107 |
Expressing sensitivity | p. 107 |
Determine the importance of the model components (uncertainty analysis) | p. 109 |
What is uncertainty analysis and why is it important? | p. 109 |
Methods used in uncertainty analysis | p. 110 |
Representing variation in the input parameters and model outputs | p. 110 |
Expressing uncertainty | p. 111 |
And then...? | p. 113 |
Summary | p. 114 |
Problems | p. 115 |
Further reading | p. 117 |
References | p. 117 |
Web links | p. 118 |
How to apply a model | p. 119 |
Scientific representation | p. 122 |
Who is the end-user? | p. 123 |
How is the model used? | p. 124 |
Guard against input error | p. 126 |
Guard against misinterpretation of the results | p. 126 |
Documentation | p. 127 |
Expert and decision support systems | p. 128 |
Who is the end-user? | p. 129 |
How is the model used? | p. 130 |
Guard against input error | p. 130 |
Guard against misinterpretation of the results | p. 132 |
Documentation | p. 132 |
Risk assessment | p. 134 |
Who is the End-user? | p. 135 |
How is the model used? | p. 136 |
Guard against input error | p. 137 |
Guard against misinterpretation of the results | p. 137 |
Documentation | p. 138 |
Spatially-explicit applications | p. 139 |
Who is the end-user? | p. 139 |
How is the model used? | p. 140 |
Guard against input error | p. 143 |
Guard against misinterpretation of the results | p. 144 |
Documentation | p. 144 |
Epilogue | p. 146 |
How has life on Mars been improved? | p. 146 |
The real-Earth applications of the models used in this book | p. 147 |
So is this the end? | p. 150 |
Summary | p. 152 |
Problems | p. 156 |
Further reading | p. 157 |
References | p. 157 |
Web links | p. 158 |
Solutions to Problems | |
Solutions to problems in Chapter 1 | p. 159 |
Solutions to problems in Chapter 2 | p. 160 |
Solutions to problems in Chapter 3 | p. 167 |
Solutions to problems in Chapter 4 | p. 172 |
Glossary | p. 176 |
Index | p. 179 |
Table of Contents provided by Ingram. All Rights Reserved. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.