U. Callies et al.: Surface drifters in the inner German Bight
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Ocean Sci., 13, 799-827, 2017
windage about 0.043 ms -1 . The resulting relative magnitude
of 16 % roughly agrees with what Rohrs et al. (2012) found
for Stokes drift. According to data from an experiment in
northern Norway, Stokes drift amounted to about 20 % of the
mean Eulerian currents.
In Fig. 12, both observations and simulations show regu
lar intermittent patterns in connection with tidal cycles. Vari
ations of maximum drift speeds indicate that movements
along different branches of tidal ellipses have components
that are alternately oriented in the same or opposite direc
tion of a superimposed non-tidal drift component. This non-
tidal drift is possibly but not necessarily related to wind ef
fects. On days 13 and 14, such non-tidal drift manifests it
self more in simulations than in observations, while during
days 15 and 16 alternating drift speed maxima are more pro
nounced in observations (in particular for drifter no. 6). Ac
cording to Fig. 6, BSHcmod + W underestimates residual
drift speeds for all four drifters tracked at that time. A fast
displacement of drifter no. 6 to the north-west can be dis
cerned from Fig. 4c. All models fail to reproduce this move
ment (see Fig. A2c, for instance). Considering the small val
ues of windage and the even smaller of Stokes drift (wind di
rections allow for only small fetches over the open sea), tun
ing these effects cannot substantially improve simulations.
Remember that Stokes drift and windage were calculated
offline and added to the Eulerian currents after the model
had been integrated and the fields stored, hacking success of
this approach is not to say that deficiencies of drifter simula
tions are not related to wind conditions. The problem around
days 15-16, for instance, occurs under non-stationary wind
directions that affect also the orientation of the residual cur
rent regime (Fig. 3). Changes of wave-induced forcing of
the ocean, including sea-state-dependent momentum flux and
Stokes drift (Staneva et al., 2017), affect water level, high and
low water times and therefore also ocean currents.
Rohrs et al. (2012) warn that implementing Stokes drift as
a simple additive component of drift velocity, parameterized
in terms of wind forcing, can be inconsistent (i.e. violate con
servation of both momentum and energy) if Eulerian currents
were simulated without taking into account the reservoir of
wave momentum and energy. In the present study, the ex
changeability of Stokes drift and wind drag indicates that the
role of waves as a reservoir of momentum was not relevant at
least during the period considered. One reason for this could
be that due to limited fetches the North Sea is less swell dom
inated than other Nordic Seas (Semedo et al., 2015).
Two crucial and outstanding questions are (a) whether the
drifters’ behaviours are representative of surface currents and
(b) if it justifiably can be assumed that all drifters maintained
their ideal drift properties over the whole period they were
tracked. Drifter trajectories may reflect a specific exposure to
winds and waves, well illustrated by the experiment reported
by Rohrs et al. (2012). Edwards et al. (2006) suggested cor
rections to improve trajectory simulations when wind er
rors and characteristics of the specific drifters deployed are
known. However, for the present study, a tentative positive
answer to the first question could be given based on the rea
sonable correspondence between the magnitudes of observed
tracer displacements and their counterparts simulated based
on just TRIM Eulerian surface currents (see Fig. 10a). On the
other hand, Poulain et al. (2009) estimated a higher down
wind slippage of about 1 % of the wind speed for undrogued
SVP (Surface Velocity Program) drifters. In the context of an
oil-drift study, Price et al. (2006) deployed CODE (Coastal
Ocean Dynamics Experiment)-type drifters drogued in such
a way that they were supposed to capture the upper 1 m layer
velocities. Referring to a report by Niiler et al. (1997); Price
et al. (2006) estimated for these drifters slip velocities of the
order of 0.03 ms -1 . In BSHcmod + W, such velocity would
match the parametrized wind drag at a wind speed of 5 m s _1 .
Fike contributions from wind drag, the estimated downwind
slippage of drifters is supposedly much smaller than short
term drift velocities in a tidally dominated regime but may
nevertheless have considerable impacts on drifter displace
ments in the long run. Fully disentangling effects of wind
drag on water masses and drifters, respectively, seems hardly
possible.
Answering the second question is again difficult. The joint
analysis of drifter positions and displacements in this study
gave at least some indications for possible non-ideal drifter
behaviour. A period of extreme velocities far beyond what
models predict occurs for drifter no. 9 at the end of its journey
(days 22-26; Figs. 6d and 9a and e). These high velocities
result in a clear separation of drifter no. 9 from the formerly
concentrated group of drifters. Probably more central for the
present study is the behaviour of drifter no. 8. From day 34
onward, drifter no. 8 showed a tendency to move faster than
the neighbouring drifter nos. 5 and 6 (e.g. days 34-35, day 37
or days 39-42; Fig. 6). Strikingly, in these cases, drifter no. 8
tended to move into directions that are more parallel to pre
vailing winds (see SMI). This latter observation also applies
to the aforementioned behaviour of drifter no. 9.
Possible reasons for the deviant behaviours of drifter nos.
8 and 9 can only be speculated. The simplest explanation
would be that the different types of the two drifters (and
of drifter no. 7, which also showed a very fast movement
at the end of the time period it was tracked) distinguishes
them from other drifters deployed (Table 1). However, this
explanation is not in accord with the fact that problems did
not persist throughout the whole observational period. The
special behaviour of drifter no. 9 after about day 22 coin
cided with its entering a more southern region of the German
Bight (Fig. 9a and e). For this region, Port et al. (2011) iden
tified a higher variability of surface currents, less correlated
with wind conditions, which would imply that introducing
either Stokes drift or an additional wind drag could probably
be a less promising approach for model improvement. How
ever, still the most probable explanation for the mismatch of
observations and corresponding simulations is that the drifter
experienced problems with its drogue. Unfortunately, drifters