Duration
15h Th, 15h Pr
Number of credits
Lecturer
Language(s) of instruction
English language
Organisation and examination
Teaching in the first semester, review in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
CHAPTER 1 Introduction
- What is a model?
- Why do we need models?
- Conceptual model
- Mathematical model formulation
- Formulation of ecological interactions
- Chemical reactions
- Inhibition
- Coupled model equations
- Impact of physical conditions
- Taonomy of spatial models
- Spatial boundary conditions
- Example: competitive interactions in a lattice model
- In situ measurement
- Literature-Derived parameters
- Calib_ters.43
- Initial conditions
- Analytical solutions of differential equations
- Numerical solution of differential equations
- Steady-state and stability analysis
- Dimensional homogeneity and consistency of units
- Conservation of energy and mass
- Testing the correctness of the model solution
- Testing the internal logic of the model
- Model verification
- Model validity
- Model sensitivity
- Example_74
- Example of the conservation principle: a mass budget of a marine bay
- Strategic versus tactic models
- Continuous and discrete time models
- Deterministic and stochastic models
- Density-biomass specific models
- Physiological - individual-based - population - ecosystem models
- Example: growth of a Daphnia individual
- Taxonomy of differential equations
- Solving difference equations
Learning outcomes of the learning unit
The main aim of this course is to learn how to conceptualize, parameterize and implement mathematical models of marine biogeochemical and ecological processes
Prerequisite knowledge and skills
None. The mathematics used will be quiet elementary
Planned learning activities and teaching methods
The half part of the time will be devoted to the implementation of examples in order to get familliar with models implementation
Mode of delivery (face to face, distance learning, hybrid learning)
1.5 ECTS : theory
1.5 ECTS : Exercises
Course materials and recommended or required readings
Further information:
Lecture notes (theory, exercices) are available via eCampus.
Exam(s) in session
Any session
- In-person
written exam ( open-ended questions )
Further information:
A written, in-person, examination will be organized in January. It will involve questions on the theory and practicals.
For those who failed in January, a second session exam will be planned in August/September. This second session exam will involve questions on the theory and practicals.
All the exams are exclusevely in person.
Work placement(s)
Organisational remarks and main changes to the course
None
Contacts
Prof. Marilaure Grégoire,
MAST research group
Department of Astrophysics, Geophysics and Oceanography (AGO)
e-mail : mgregoire@uliege.be