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Geographic modelling [ LGEO2130 ]


5.0 crédits ECTS  30.0 h + 30.0 h  

Teacher(s) Vanwambeke Sophie ; Deleersnijder Eric ;
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
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
Cycle et année
d'étude
> Master [120] in Geography : General
> Master [120] in Geography : Climatology
> Master [60] in Geography : General
Faculty or entity
in charge
> GEOG


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