Ocean Dynamics
4) Springer
to be critical when the MME mean is close to zero. Neverthe
less, it gives information about the variability between the
products which appears to be low in most parts of the study
area. Transports are calculated using residual currents while
the SSC, characterized by high uncertainties, include tides.
This consolidates the assumption that the boundary condi
tions, and thus tidal constituents, play an important role in
the forecast uncertainties. Further comparisons should be per
formed using residual currents to evaluate the causes for high
deviation between forecasts.
Spatio-temporal statistics have been calculated yielding in
formation about possible seasonal deviation patterns or region
al differences between the forecasts, including information
about forecast deviations from the MME or from observations.
The region with high forecast uncertainty for SSS and SSC was
found to be the highly dynamic Transition Area and the Nor
wegian Coastal Current, where large differences in PVD dis
placements occur (Fig. 18). This pattern is not frilly reflected in
the transport data since CV statistics and correlations have
comparatively good results at most transects in this area. As
mentioned above, high uncertainties in SSC, as reflected in the
PVDs, might therefore be due to differences in boundary con
ditions and tidal constituents of the models, while transports are
calculated from residual currents. The major cause for high
standard deviation in SSC and SSS in this area are difficulties
in simulating the frontal structures and movements of the low-
salinity water of the Baltic outflow. The vertical coordinate
systems and turbulence schemes of the individual models are
different causing varying distributions of density and mixed
layer depths, both having a strong effect on the surface param
eters. In addition, there are two models which cover only the
North Sea where the eastern boundary is located in the Katte
gat. This might complicate a correct simulation in this area.
Fligh uncertainties in SSS between the individual forecasts,
simulating the salt plume in the Baltic outflow area, are
displayed in Fig. 16. Regions close to river mouths are also
prone to high forecast uncertainty for SSS due to different data
sets for river runoff used by the forecasting models.
Regarding forecast inter-comparisons, no forecast could be
revealed which deviates most from the others in the whole
study area for all parameters. The amount of deviation of each
forecast for SSC is dependent on the area. In region III, the
Norwegian Coastal Current, METNOROMS has the highest
PVD displacements at most transects, while in the Baltic Sea,
DMIHBM has the highest values at most transects in regions
V and VI. This is also displayed in the spatio-temporal statistic
of TRA where DMI HBM exhibits higher deviation from the
median at most transects in regions I—III, V, and VI. Transects,
where products with opposed or extremely differing transport
pattern are included in the MME, are clearly detectable in the
mean correlation and the deviation from the median (i.e., re
gion VII). As the number of ensemble members in the MME
of TRA is relatively low at most transects, products with a
strongly differing pattern also have a strong impact on the
MME (Figs. 23 and 24). The same effect is displayed in the
spatial mean of SSS in the North Sea, where METNO ROMS
has clearly higher values than the other forecast throughout
the whole year. On those days, when this forecast is missing,
the MME mean varies sharply and the standard deviation
drops significantly. In the Baltic Sea, FCOO GETM has the
highest deviation in SSS from the MME mean although the
spread between the forecasts varies little during the whole
analysis period.
A comparison of SST forecast to satellite observations
showed that the biases and RMSD of the MME mean, the
MME median, and METUKFOAM are lowest in the North
Sea compared to the other forecasts. In addition, a distinct
seasonal pattern has been detected, characterized by high
spread between the forecasts during summer. Although the
availability of satellite data varies strongly between the
months, there seems to be no clear link between the monthly
mean RMSD and the availability of satellite observations. In
order to frilly understand the mechanisms influencing the fore
cast uncertainties in SST including seasonal features, the at
mospheric forcing of each forecast needs to be taken into
account. Regarding the annual mean bias, the lowest errors
and thus values close to zero appear for METUK FOAM and
METNO ROMS, which both imply data assimilation. These
results show that the ensemble process can improve the accu
racy of the forecasts. Similar seasonal patterns with higher
values for RMSD and bias and larger spread between the
forecasts during summer can be detected in the Baltic Sea.
The forecasts of the models applying data assimilation,
SMHI HIROMB NS03 and SMHI HIROMB BSOl, also
exhibit comparatively low errors.
This study has demonstrated that the MME is a useful tool
to evaluate the spread, based on uncertainty measures, be
tween individual forecasts for different parameters. The com
parison of SST forecast to satellite observations showed that
the combined MME products provided better results than
most individual forecasts. However, the low number of
MME members (i.e., 3 to 4 for TRA), and thus a non
representative spread, seems to have an impact on the results.
Thus, a large number of ensemble members are quite impor
tant for a qualitatively promising MME. In this study, both
mean and median have been taken into account for evaluation.
As no weighting is applied on the individual forecasts, the
resulting MME mean is prone to outliers, especially in a
low-member MME. In contrast, the MME median is less im
pacted by outliers. Therefore, the spatio-temporal statistics for
TRA have been calculated using the median, due to the low
number of products.
In this study, it was not intended to undertake validation
for each forecast or to provide the best overall estimate with
the MME for all parameters. The latter simply cannot be
realized due to the lack of reliable in situ data with