The main goal of this publication is the development and application of an empirical method, which allows to forecast the transport of radionuclides in soils ad sediments. The calculations are based on data published in the literature. 10 case studies, comprising 30 time series, deal with the transport of Cs-134, Cs-137, Sr-85, Sr-90, and Ru-106. Transport in undisturbed soils and experimental systems like lysimeters and columns in laboratories are dealt with. The soils involved cover a large range of soils, e. g. podsols, cambisols (FAO), and peaty soils. Different speciations are covered, namely ions, aerosols, and fuel particles. Time series analysis centres around the Weibull-distribution. All theoretical models failed to forecast the transport of radionuclides. It can be shown that the parameters D and v, the dispersion coefficient and the advection velocity, appearing in solutions of the advection-dispersion equation (ADE), have no real physical meaning. They are just fitting parameters. The calculation of primary photon fluence rates, caused by Cs-137 in the soil, stresses the unreliability of forecasts based on theoretical models.