The lecture provides knowledge about the analysis of geodetic time series and their modeling as stochastic processes.Besides, Fourier analysis is also discussed in detail, and basic concepts for parameter estimation, significance, and quality control are laid out.Finally, Monte Carlo simulations are discussed as well.

The three pillars of geodesy, i.e. the geometry, rotation and gravity field of the Earth contribute to Earth system monitoring and will be considered here. 1) Earth rotation: theory, estimation and interpretation; 2) Gravity field: satellite missions, theory, estimation and interpretation; 3) Geodynamics (geometry): plate tectonics, earthquake cycle, isostasy and uplift rates.