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Convection in phase 0 is too weak and consequently the stream function
anomalies straddling the equator are also too weak.
Anomalous convection occurs to the east of Africa in phase 1, likely inducing the
erroneous strong localised westerlies. Comparatively, observed convection has
advanced to the Maritime Continent and a positive streamfunction anomaly is
centred on the Bay of Bengal rather than the Arabian Sea. The MJO amplitude
and spatial representation is somewhat better when initialised in phase 2 and 3.
Figure 4(a) Composite observed OLR (shading) and 850hPa streamfunction
(contours) anomalies in each of the 4 MJO phases (b) same as (a) but for
forecast at T+240.
2. Investigating tropical systematic errors
Model deficiencies arising from physical and dynamical formulation contribute
to systematic error development, making it difficult to disentangle the errors
that arise as part of the MJO mode and those which are independent of the
MJO. Removal of the mean model error may help to make apparent errors
which may be arising as a result of the model failing to capture the MJO signal
in its correct phase.
Figure 1: Composite precipitation forecast error at T+24 in each of the 4 MJO
phases (left) Same as (a) but with the mean model error removed.
The MetUM
overestimates
precipitation
over much of
the tropical
oceans,
showing similar
errors in all 4
phases.
Once the
mean model
error is
removed, the
errors look
different in
each phase.
Figure 2: Composite OLR observed anomalies and forecast between15N and 15S
in phase 1 of the MJO at T+24 & T+240.
Well predicted in early
forecasts but systematic
errors increase with lead
time = weaker MJO.
Figure 3: Evidence for
teleconnections between tropics
and extratropics via Rossby wave
propagation in circulation
(Analysis left, forecast right).
Teleconnections are weaker in
forecast as phase 1 heating
(dashed) is less strong than
observations at T+240.
Figure 7: Wheeler and Hendon diagrams for MOGREPS-15 (left) and for
GloSea4 (right) for forecast start date of 14/12/2006. MOGREPS runs out to
15 days and GloSea4 runs out to 40 days.
MOGREPS amplitude is greater than was observed. This is interesting as
figures 4,5,and 6 suggest that the amplitude is too weak. The forecast lags
behind a phase in the Indian Ocean (also seen in figures 4 and 5.)
GloSea4 develops an MJO but it is not sustained past phase 1. The amplitude
is closer to what was observed than is seen in MOGREPS. This disparity
between models needs further investigation.
Phase 0 U200 analysis field is dominated by convergence of westerlies and
easterlies aloft. Easterlies begin to develop west of 90E after day 12.
Corresponding forecast u200 field demonstrates a similar pattern to analysis
but is weaker, possibly due to weaker suppression seen in fig 5. Easterlies
also begin to develop west of 90E after day 11.
By phase 1, both analysis (left) and forecast (right) develop anomalous
easterlies and westerlies over the Indian Ocean, indicating divergence in the
upper troposphere past day 8. The forecast westerlies are weaker than
portrayed in the analysis especially by day 15, but the pattern of winds aloft is
well replicated. This suggests that there may be some predictability in
dynamical fields out to day 15.
To compare the performance of the MJO with the GloSea4 seasonal system,
we look at a case study of a forecast for 14 December 2009.
The MJO index is low at time of initialisation and both model configurations
are able to develop a strong MJO from this point. However there are
differences between the two systems. They are currently run at different
resolutions and GloSea4 is run in coupled mode but there are plans to run
at the same resolution and to test MOGREPS in coupled mode.
MJO
Amp<0.5
MJO
Amp>1.0
1. Introduction
This work aims to characterise the UK Met Office Unified Model (MetUM)
simulation of the MJO in terms of growth of systematic errors, with the
ultimate aim of understanding deficiencies and improving the prediction
of the MJO. The same unified modelling framework is used for numerical
weather prediction (NWP) models and its climate models. Benefits of
such unified modelling are that model errors can be investigated in NWP,
seasonal and climate models and all can gain from the same
improvements.
Method
The assessment is carried out through application of the Real Time
Multivariate MJO Index of Wheeler and Hendon to 4 winters (NDJFM) of
data between 2006–2010 and forming composites based on MJO phase.
For details see Wheeler and Hendon (2004).
The MetUM configurations used in this work are:
MOGREPS-15
• Atmosphere only model (MetUM/NEMO)
• 24 member ensemble
• N144L38 (90 km)/ N216L70 (60 km)
• Run twice a day
• Initialised from MetUM analyses
GloSea4
• Coupled model
• Three member ensemble
• N96L38 (120km)/ ORCA1L38
• Run once a week
• Initialised from ERA interim
The MetUM analyses are used to verify wind and streamfunction, OLR is
verified against NOAA daily interpolated OLR and precipitation is verified
against GPCP (1º daily) and TRMM (0.25º 3B42 product) precipitation
estimates.
We have combined the 8 Wheeler and Hendon MJO phases to form 4:
Phases 8 and 1 = phase 0
Phases 2 and 3 = phase 1
Phases 4 and 5 = phase 2
Phases 6 and 7 = phase 3
Composites in (2) are created based on the phase of the MJO in which
the forecast is initiated. The amplitude of MJO must exceed 1.0 at time of
analysis. This tests the ability of the forecast to sustain and evolve an
MJO when it is already present in the initial conditions. Time-longitude
composites in (3) are created based on an amplitude of less than 0.5 at
time of analysis being followed by an amplitude of greater than 1.0 within
the following 15 days. This tests the ability of the forecast to evolve an
MJO when it is not present in the initial conditions.
4. Conclusions
• The MJO is well captured in MOGREPS-15 short range forecasts but
errors develop with lead time.
• There is some ability to evolve an MJO when its amplitude is low on
initialisation. This seems to be better captured in dynamical fields.
• Differences exist in the prediction of the MJO in GloSea4 and
MOGREPS-15 configurations. These disparities need further
characterisation. Work is underway to include an ocean at NWP
timescales and there are plans for upgrading GloSea4 resolution to
N216L85 in 2011. This will bring the two models closer together and
facilitate a seamless assessment of error development.
Further work
• Assess the impact of coupled ocean across all timescales from days
to season.
• Calculation of diabatic heating rates from analyses and forecast using
different methods, to diagnose why we are seeing error patterns
outlined in this work and to investigate the coupling of diabatic heating
the dynamics.
References
Liebmann B. and C.A. Smith, 1996: Description of a Complete (Interpolated) Outgoing Longwave Radiation Dataset. Bulletin of the American Meteorological
Society, 77, 1275-1277.
Wheeler,M. and Hendon, H.H, 2004, Mon. Wea. Rev., 132, 1917-1932.
References
Liebmann B. and C.A. Smith, 1996: Description of a Complete (Interpolated) Outgoing Longwave Radiation Dataset. Bulletin of the American Meteorological
Society, 77, 1275-1277.
Wheeler,M. and Hendon, H.H, 2004, Mon. Wea. Rev., 132, 1917-1932.
Dipole is much weaker in the phase 0 forecast.
Convection initiates too far west (also seen in figure 4)
and starts about two days later than was observed.
However, despite systematic errors there does seem to be
a weak signal. Lack of data is probably a constraint. There
is a clear dipole structure in phase 1, which is well
forecast, but with both convection and suppression too
far west.
Observed dipole
of convection and
suppression
Figure 6: Time-longitude composites of phase 0 (left) and phase 1 (right) u200
anomalies (observed left, forecast right in both phases) when MJO amplitude
exceeds 1.0, 9 days after the amplitude was less than 0.5 (13 cases band
averaged over 15N-15S).
Figure 5: Time-longitude composites of phase 0 (left) and phase 1 (right)
OLR anomalies (observed left, forecast right) formed when MJO amplitude
exceeds 1.0, nine days after the amplitude was less than 0.5 (13 & 12 cases
respectively band averaged over 15N-15S).
MJO
Amp<0.5
MJO
Amp>1.0
3. MJO forecast from low amplitude
initial conditions
Predictability and systematic error growth
in Met Office MJO predictions
Ann Shelly, Prince Xavier and Sean Milton
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