This research uses data on distribution channels of hotels gathered through a yearly survey addressed to Swiss hotels since 2006. The authors use the evolution of Online Travel Agencies (OTAs) market share as a time series which can be modelled using different growth curve methods. These various models cross-validate the forecasted final penetration rate. The study analyses the dynamics of the evolution of OTAs and determines their final penetration rate not only on an overall level, but also segmented by hotel category, location and size. Overall, a final penetration of around 35 % is predicted by our models, but they show also that the level of final penetration of OTAs depends on the typology of the hotel. The paper sheds some light on the statistical difficulties in forecasting with a limited set of data and gives insights into the future evolution of the distribution mix which is essential for the marketing and pricing strategy of hotels.