IMPRS-gBGC course 'Modeling & Numerical Techniques' 2018

Category: Skill course
Credit points: 0.2 per day


1.  General information

Date: November 1-7, 2018
Place: B0.002, MPI for Biogeochemistry, Jena
The skill course will have a modular structure to satisfy both the need for an introduction into modeling in general and into specific areas of application.


2.  Preliminary agenda

L = lecture, P = practical

Thu, Nov 1  Mathematical conceptsCarlos Sierra
 09:00 - 12:00L

- Functions, limits, derivatives, integrals
- Systems of equations and linear algebra
- Differential equations

 13:00 - 16:00P

- Functions in R, splines and numerical integration
- Solving systems of equations in R
- Symbolic mathematics in SymPy
- Solving differential equations in R

Fri, Nov 2  Basics of ecological modelingCarlos Sierra
 09:00 - 12:00L

- Model formulation: concepts and model equations
- Ecological interactions and coupled equations
- Stability and steady-state

 13:00 - 16:00P

- Numerical solution of models
- Model-data integration

Mon, Nov 5  FoundationsAxel Kleidon
 09:00 - 12:15L/P

Introduction to Earth system modeling
- Motivation: why modelling?
- Model definition, principles, implementation
- Physical basics: state variables, conservation laws, boundary conditions, formulation of fluxes, approximations

 13:45 - 17:00L/P

Basic differential equations
- Reservoir equation: background, numerical implementation, application
- Diffusion equation: background, numerical implementation, application


Tue, Nov 6  Energy balance and Land surfaceAxel Kleidon
 09:00 - 12:15L/P

Global energy balance modelling
- General circulation models (GCM)
- Energy balance models

 13:45 - 17:00L/P

Land-atmosphere interactions
- Surface energy balance models
- Boundary layer dynamics


Wed, Nov 7  Water balance and Complex systems conceptsAxel Kleidon
 09:00 - 12:15L+P

Water balance modelling
- Catchment hydrology
- Soil hydrology models

 13:45 - 17:00L+P

Complex systems concepts
- Theoretical concepts: sensitivity, feedbacks, multiple steady states, tipping points
- Examples and applications


3.  What you need to prepare

There are no pre-knowledge needed to participate in the module on basic modeling.

Bring a laptop and make sure that a recent version of R is running on your laptop.
You can download the most recent version here:
RStudio is a new open-source integrated development environment that runs on all platforms. It nicely combines console, script editor, working directory, plots etc. into a an uncluttered layout that you can easily navigate. You need to have R installed before you can use RStudio as a development environment.


4.  Feedback

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