  This paper studies the problem of equivalence of Gaussian measures induced by
Gaussian random fields (GRFs) with stationary increments and proves a
sufficient condition for the equivalence in terms of the behavior of the
spectral measures at infinity. The main results extend those of Stein (2004),
Van Zanten (2007, 2008) and are applicable to a rich family of nonstationary
space-time models with possible anisotropy behavior.
