The joint characterization of the multiple links becomes important for mesh topologies, relaying, distributed antennas, cooperative transmission, virtual MIMO etc. For that purpose simultaneous measurements are needed. Since a suited measurement setup requires multiple channel sounders, a very few of such campaigns have been conducted. A single-sounder approach can be considered as an attractive, less expensive alternative as long as environment stationarity can be insured between consecutive measurement runs. This contribution investigates the variability of large-scale parameters, such as delay and directional spreads, derived from measurements at 2.53 GHz in an outdoor macro-cell scenario. A mobile receiver has been moved twice over the same track whereas the transmitter has been fixed. The large-scale parameters are estimated as averages within local stationarity regions corresponding to areas with a constant multi-path structure. The observed differences between two large-scale parameter sets are used to evaluate stationarity of the outdoor environment between repeated measurements. The reasonably low decorrelation levels have indicated that large-scale characterization of multi-link configuration can be performed sequentially with single sounding device.