University of St Andrews

Many applications in geoscience are ill posed inverse problems where the lack of qualified information in the space or time domain leeds to tremendous uncertainties in the reconstructed quantities. Satellite observations e.g. for land use or soil moisture have too coarse spatio-temporal resolution to allow for a high resolution in the reconstructed fields and observations of meteorological quantities such as air temperature, humidity or precipitation are traditionally only available at specific station locations. Whenever different measurement devices observe the same quantity the question rises how these measurements can be merged so that their specific strengths are preserved. To bridge the gap between observations and the desired spatio-temporal resolution and to merge different observation types, the dependence structures between multiple variables or observations at multiple locations can be used as an additional constraint.