In this paper we test whether GDP series in 12 European Union countries are
integrated or are stationary around a deterministic component that may cha
nge gradually and smoothly between two regimes over time. We find that in t
wo-thirds of cases there appears to be a role for modelling with determinis
tic functions that allow smooth transitions, in some cases standing alone,
in others in conjunction with additional integrated regressors. These findi
ngs constitute a challenge to traditional approaches to modelling breaking-
trend behaviour in GDP, which typically impose the condition that breaks, w
hen present, must occur instantaneously.