Ecosystems: modeling and quantification

The objective is to master the modeling and statistical analysis of ecosystem data. Students should be able to model complex systems (e.g. plant of a cultivated ecosystem, population dynamics, lake ecosystem). They will also need to know what type of statistical model to use for ecological data processing, and how to interpret it.

Introduction to mathematical modeling with applications in ecology - Modeling of lake ecosystems - Random models in population dynamics - Linear models (linear regression, Anova, Ancova) - Statistical testing power - Mixed models - Generalized linear models.

Modeling: usual analysis and algebra tools (Taylor development, Jacobian matrix of an application, eigenvalues of a matrix, diagonalizing a matrix, ...). Statistics: notion of statistical test, comparison of two means, linear model if possible.

Continuous assessment : 100%.