Geographic modelling [ LGEO2130 ]
5.0 crédits ECTS
30.0 h + 30.0 h
2q
| Teacher(s) |
Deleersnijder Eric ;
Vanwambeke Sophie ;
|
| Language |
English
|
Place
of the course |
Louvain-la-Neuve
|
| Main themes |
Differential models
Introduction
State variables, parameters
Initial conditions, boundary conditions, etc
Linear ordinary differential problems
General solutions
Equilibrium points (stability, instability, oscillations)
Conservation/dissipation of energy (in a broad sense)
Example (Mururoa Lagoon)
Non-linear ordinary differential problems
Equilibrium points (stability, instability, oscillations)
Conservation/dissipation of energy (in a broad sense)
Qualitative notions of bifurcation
Qualitative notions on chaos and predictability
Examples (logistic model, prey-predator model, etc.)
Space- and time-dependent models
Partial differential problems
Integral properties
Box-model approximations
Example (Exxon Valdez oil spill, Alaska)
Parameter optimisation, validation and sensitivity analysis
Spatial modelling
Self-organisation in systems
Cellular automata
Agent-based models
Examples are taken in physical geography, natural resource management and use, spatial epidemiology, history of land use
Modelling techniques
UML as an aid to conceptual modelling
Model evaluation: sensitivity, uncertainty, validation
Measuring landscape structure
|
| Aims |
Extend knowledge of modelling techniques focusing on geographical processes. More specifically, models based on:
-spatio-temporal analysis
-dynamic approaches that use differential equations
-landscape indices and fractals
The competences to be acquired during the course include:
-complex spatial analyses
-use of softwares for modelling dynamic systems
-mathematical methods in geography
The contribution of this Teaching Unit to the development and
command of the skills and learning outcomes of the programme(s) can be
accessed at the end of this sheet, in the section entitled
“Programmes/courses offering this Teaching Unit”.
|
| Content |
Differential models
Introduction
State variables, parameters
Initial conditions, boundary conditions, etc
Linear ordinary differential problems
General solutions
Equilibrium points (stability, instability, oscillations)
Conservation/dissipation of energy (in a broad sense)
Example (Mururoa Lagoon)
Non-linear ordinary differential problems
Equilibrium points (stability, instability, oscillations)
Conservation/dissipation of energy (in a broad sense)
Qualitative notions of bifurcation
Qualitative notions on chaos and predictability
Examples (logistic model, prey-predator model, etc.)
Space- and time-dependent models
Partial differential problems
Integral properties
Box-model approximations
Example (Exxon Valdez oil spill, Alaska)
Parameter optimisation, validation and sensitivity analysis
Systems analysis in Geography
Self-organisation in human systems
Dynamic of urban centres
Intra-urban model
Case study : modelling the evolution of the United States (1950-1970)
|
| Other information |
Prerequisites
GEO1342 - Geographical Information Systems
GEO1341 - Statistical modelling
Mathematics
|
Faculty or entity
in charge |
> GEOG
|
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