This paper studies the variability of deep-ocean mass transport using four
1000-yr integrations performed with coupled general circulation models. Sta
tistics describing the spectral and spatial features are considered. It is
shown that these features depend crucially on the time-mean state. For the
transport of tropical and subtropical water masses in three of the integrat
ions, the spectral levels continually increase with decreasing frequency an
d do not show isolated peaks at low frequencies. The slope of the low-frequ
ency spectrum (in a log-log plot) changes with increasing depth. It has val
ues of about 0 near the surface, about -1 at intermediate depth, and about
-2 at or near the bottom. The result indicates that the maximal memory time
scale for deep-ocean mass transport is longer than a few centuries. The sit
uation is different in the fourth integration, which has a different mean c
irculation pattern. In this case, the low-frequency spectrum is more or les
s hat in the tropical and subtropical oceans below 2000-3000 m, indicating
weak low-frequency variations. The dominant spatial covariance structures d
escribe an anomalous recirculation of intermediate water masses, which is c
onfined to a large extent to each ocean basin. The spatial scale of the dom
inant modes is therefore smaller than that of the time-mean circulation.