This thesis is written as a cumulative dissertation. It presents methods and results which contribute to an improved understanding of the spatio-temporal variability of fog and fog deposition. The questions to be answered are: When is there how much fog, and where and how much fog is deposited on the vegetation as fog precipitation? Freely available data sets serve as a database. The meteorological input data are obtained from the Climate Data Center (CDC) of the German Meteorological Service (DWD). Station data for temperature, relative humidity and wind speed in hourly resolution are used. In addition, visibility data are used for validation purposes. Furthermore, Global Forest Heights (GFH) data from the National Aeronautics and Space Administration (NASA) are used as vegetation height data. The data from NASA’s Shuttle Radar Topography Mission (SRTM) is used as a digital elevation model. The first publication deals with gap filling and data compression for further calculations. This is necessary since the station density for hourly data is relatively low, especially before the 2000s. In addition, there are more frequent gaps in hourly data than in, for instance, daily data, which can thus be filled. It is shown that gradient boosting (gb) enables high quality gap filling in a short computing time. The second publication deals with the determination of the fog, especially with the liquid water content (lwc). Here the focus is on the correction of measurement errors of the relative humidity as well as methods of spatial interpolation are dealt with. The resulting lwc data for Germany with a temporal resolution of one hour and a spatial resolution of one kilometre, are validated against measured lwc data as well as visibility data of the DWD. The last publication uses the data and methods of the two previous publications. The vegetation and wind speed data are also used to determine fog precipitation from the lwc data. This is validated using data from other publications and water balance calculations. In addition to the measured precipitation, the fog precipitation data are used as an input variable for the modelling. This is also one of the possible applications: To determine precipitation from fog, which is not recorded by standard measuring methods, and thus to make water balance modelling more realistic.:1 MOTIVATION 6 2 PROBLEM DEFINITION AND TARGET SETTING 6 3 STRUCTURE 7 4 MODEL LIMITS 9 5 PUBLICATIONS 9 6 OUTLOOK 29

Nous proposons une nouvelle procédure de mesure permettant de tracer la courbe de résistivité en fonction de l'écartement électrode de courant-électrode de potentiel relié à la profondeur d'investigation et au gradient de teneur en eau. Les mesures de résistivité au droit des armatures sont réalisées et une procédure d'inversion permettant de remonter au gradient de résistivité est mise en place. Deux types de mesures ont été effectués expérimentalement, sur des dalles en béton armé et non armée. Deux types de gradient sont étudiés : le séchage et l'humidification. La présence de l'armature diminue significativement la résistivité à cause d'un effet de court-circuit. Les mesures montrent l'intérêt de la procédure pour l'étude du gradient de teneur en eau. Pour la partie numérique la simulation a montré que la mesure de résistivité permet effectivement de déterminer le gradient de résistivité et de définir les paramètres électrochimiques de l'acier via le modèle de Butler-Volmer. / We propose a new measurement procedure that allows drawing a resistivity curve as a function of the spacing between current electrode and potential electrode which is linked to the investigation depth and the water content gradient. The resistivity measurements above the rebars are performed and an inversion procedure to assess the resistivity gradient is carried out. For the experimental part two kinds of measurement are performed on concrete slabs (reinforced and unreinforced). Two gradient types are studied: drying and wetting. The presence of the reinforcement significantly decreases the measurement of the resistivity. The measurements show the interest of the proposed procedure for the study of the water content gradient. Two measurement results were considered in numerical analyses. The simulation shows that it is possible to assess the resistivity gradient and the electrochemical parameters of the rebar via the Butler-Volmer model.