Prediction of NINO3 SST anomaly in a hybrid coupled
model
with a piggy-back data assimilation initialization
Joyce E.
Meyerson, Hui Su and J. David Neelin
A hybrid coupled model (HCM), similar to the one
used in Syu et al. (1995), Waliser et el. (1994) and Blanke et al. (1997), is
used to predict the NINO3 SST anomaly (SSTA). The atmospheric model is
estimated from observations using a singular value decomposition (SVD)
technique. The model contains the first seven SVD modes of the covariance
matrix calculated from the time series of pairs of observed monthly mean
Reynolds SST anomalies and Florida State University (FSU) subjective
pseudo-stress anomalies over a 19-year period from January, 1970 through
December, 1988. Atmospheric adjustment is parameterized by a simple
60-day spin-up time scale (Syu and Neelin 2000a). Heat flux is
parameterized according to Oberhuber's (1988) formulation using climatological
data, with the negative feedback on SST estimated following Seager et al.
(1988). The OGCM is a version of the GFDL Modular Ocean Model
(Pacanowski, Dixon and Rosati, 1991, personal communication) for the Pacific
basin. The vertical resolution is 27 levels, with 10 levels in the upper
100 meters. A Richardson-number-dependent vertical mixing scheme is
combined with a surface mixed layer parameterization (see Syu and Neelin 2000a
for model details).
The HCM has a reasonable simulation of ENSO in
spatial and temporal features, with ENSO periods of 3 to 4 years. Model
performance in "retroactive real-time forecasts" (hindcasts
hereafter) from 1980-1992 has been shown in the September 1997 issue of the
Experimental Long-Lead Forecast Bulletin, with further analysis in Syu and
Neelin (2000b). The ocean climatology used in all hindcast/forecast
experiments is specified to be the averaged model SST, forced by the FSU
subjective wind stress product over 1978 to 1993 without modification by the
data assimilation scheme. The climatological wind stress used in the
hindcast/forecast experiments is also specified to be the average of the FSU
subjective wind stress over the same period (1978-1993). The forecast
results after 1994 are verified against the observations from Reynolds' (1988)
SST data set after applying optimum interpolation method as described in
Reynolds and Smith (1994).
The initialization scheme makes use of both the wind
information (FSU converted wind stress) and the ocean model data assimilation
product from the Climate Prediction Center (CPC) (Ji et al., 1995). In
addition to the specified FSU wind stress forcing, the CPC reanalyzed anomalous
ocean temperature field is "injected" into the ocean model (27
layers) every month since 1980 up to the start of the hindcast (injection
scheme hereafter). Because our ocean model (GFDL MOM) is in a version
reasonably close to that used by CPC, approximate consistency is assumed in
injecting the CPC reanalyzed data. To make distinction between this procedure
and raw-data injection, we refer to it as a "piggy-back" data
assimilation scheme, because it makes use of the effort from an CPC data
assimilation product. The "piggy-back" data assimilation scheme
gives a substantial improvement in hindcast skill (see the Sep. 1997 issue and
Syu and Neelin 2000b), and thus appears to be a viable, economical forecast
method.
As of March 2002 Florida State University ceased
output of their subjective pseudo- stress product in favor of an objectively
analyzed product. For continuity of the forecast system, we continue to use the
same coupled model climatology which makes use of the FSU subjective
pseudo-stress climatology from 1978-1993. The coupled model itself thus does
not change. In initializing the ocean, anomalies of the new FSU objective wind
product (relative to its 1978-1993 mean) are used. Subsurface and SST data are
employed as before.
For this issue of ELLFB we present results of the
past and present initialization schemes along with the routine forecast. Figure 1 presents the NINO3 index for forecasts from 1993
to May 2002 using the new FSU objective wind product and 1993 to February 2002
for the previous run (FSU subjective product not available past February). Also
shown are observed NINO3 SSTAs through May 2002 (3-month running average, thick
black curves) and forecasts (gray curves) at 3-, 6- and 9-month lead for the
present experiment along with the previous experiment (March 2002, dashed gray
curve) for comparison of the two initializations. Averages of each lead
month based on forecast verification over the 1980-1992 time span are removed
before plotting the curves. These corrections are modest: 0.051, 0.21, and 0.34
C for 3, 6 and 9 month lead respectively. For continuity, these values were not
changed. Vertical bars represent plus and minus one RMS error, over the same
forecast verification time span. The two initialization systems behave
similarly overall, especially for longer leads. For 9-month lead there are very
few months in the interval where the error bars of the two forecasts do not
overlap in some range and usually one forecast is within the error bars of the
other. For 3-month lead, there are a number of exceptions to this: in late
boreal summer of 1998 the initialization with the FSU objective product
overpredicts the onset of cold conditions, while in boreal winter of 1999-2000,
this system predicts a spurious mild warming, both of which compare worse to
observations than the published forecasts using the FSU subjective product. At
six month lead, while the small spurious warming in 99-00 occurs with the FSU
objective product, this initialization fares slightly better at capturing the
1997-98 warming and subsequent return to normal than the subjective product.
The latter part of the forecast track record in Figure 1 indicates that the two initializations differ for
the current forecast period. The
previous forecast (Mar. 02 ELLFB) initialized with the FSU subjective
wind product showed a mild warming trend for each of
the three leads, but the forecast initialized with the objective winds tends to
be slightly cooler.
To provide a comparison in the format of
the actual forecast, as opposed to the track record sorted by lead, Figure 2 shows examples of published past forecasts with
the FSU subjective wind product with the objective initialization case added
(starting from January and February, 2001 and 2002, respectively, for 12
months). Model initialization runs and forecasts are dashed and dotted,
respectively with gray/black denoting those initialized with the FSU
subjective/objective products. There are some substantial differences in the
SSTA of the initialization runs, especially in mid-1998 when the FSU objective
wind causes excessive cooling in NINO3. For the forecasts from January and
February 2001 data (Figure 2a), there is a general
agreement between the two of a moderate warming by the winter of 2001-02,
although the short-term SSTA evolution of the two differs. Note that both
forecasts were off, as observed NINO3 SST decreased to normal conditions by
Nov. 2001. In Figure 2b, the forecast curves fr January
and February 2002 for both initializations are also in relative agreement at
the end of the 1 year forecast showing near normal conditions for early 2003,
but the amplitude of oscillation about normal is much exaggerated in the new
FSU objective wind initialization curve. It thus appears that, as of the last
available FSU subjective wind data available, the current period is one in
which the two products have substantially different impact on the forecast.
Figure 3 shows observations
(thick, solid curve) and the model initialization run with the FSU objective
product since 1993 (thick dashed curve) along with the previous initialization
with subjective FSU wind product (gray curve) used in previous forecasts. The
differences between the initialization runs depend only on the ocean model
reaction to the different wind stress products and occur despite the inclusion
of both SST and NCEP subsurface data. The differences are often larger than the
differences in the forecasts with the two products seen in Figure
1.
Figure 3 also displays the
latest two forecast results (starting from April and May, 2002, respectively,
for 12 months), with the FSU objective wind used in the initialization. Both forecasts initiated with April and May
observations show a cooling trend through the summer months rebounding to
normal conditions by spring 2003. Given the differences in the forecasts from
February data with the subjective wind product and the fact that observed NINO3
SSTA has shown a warming trend since January 2002, we place lower than normal
confidence in this forecast.
Blanke, B., J. D. Neelin, and D. Gutzler,
1997: Estimating the effect of stochastic wind stress forcing on ENSO
irregularity. J. Climate, 10, 1473-1486.
Ji, M., A. Leetmaa, and J. Derber, 1995: An
ocean analysis system for seasonal to interannual climate studies. Mon.
Wea. Rev., 123, 460-481.
Oberhuber, J. M., 1988: An atlas based on the COADS
data set: the budgets of heat, buoyancy and turbulent kinetic energy at the
surface of the global ocean. Max-Planck-Institut f"ur Meteorologie Report No.
15, Bundesstrasse 55, D-2000, Hamburg 13, FRG.
Reynolds, R. W., 1988: A real-time global sea
surface temperature analysis. J. Climate, 1, 75-86.
Reynolds, R. W. and T. M. Smith, 1994: Improved
global sea surface temperature analyses using optimum interpolation. J.
Climate, 7, 929-948.
Seager, R., S. E. Zebiak, and M. A. Cane, 1988: A
model of the tropical Pacific sea surface temperature climatology. J.
Geophys. Res., 93, 1265-1280.
Syu H.-H., J. D. Neelin, and D. Gutzler, 1995:
Seasonal and interannual variability in a hybrid coupled GCM. J. Clim.,
8, 2121-2143.
Syu, H.-H., and J. D. Neelin, 2000a: ENSO in a
hybrid coupled model. Part I: sensitivity to physical parameterizations. Climate
Dynamics, 16, 19-34.
Syu, H.-H., and J. D. Neelin, 2000b: ENSO in a
hybrid coupled model: Part II:
prediction with piggyback data assimilation. Climate Dynamics, 16,
35-48.
Waliser, D. E., B. Blanke, J. D. Neelin, and C.
Gautier, 1994: Shortwave feedbacks and El Nino-Southern Oscillation:
Forced ocean and coupled ocean-atmosphere experiments. J. Geophys, Res.,
99, 25109-25125.
Figure Captions:
Fig. 1. The forecasts of
NINO3 SST anomalies from 1993 to present using the new FSU objective wind
product (solid gray curve) and 1993 to February 2002 using the old FSU
subjective wind product (dashed gray curve). The latest forecast starts from
May 2002. The mean for each lead month over the forecast verification time span
(1980-92) is removed before plotting. Vertical bars represent plus and minus
one RMS error over the same forecast verification time span. Shown for
(a) 3-month, (b) 6-month and (c) 9-month lead.
Fig. 2.
Comparison of past forecasts with the two FSU wind products (starting from
January and February, 2001 and 2002, respectively, for 12 months). NINO3
observations are shown as the solid black curve; the dashed lines are the model
initialization runs with FSU subjective (gray curve) and objective (black
curve) wind products; forecasts are dotted lines with the same convention for
gray and black. a.) January and February 2001 forecasts. b.) January and
February 2002 forecasts.
Fig. 3. The latest two
forecasts (dotted lines) of NINO3 SST anomalies up to 12 lead months starting
from April and May 2002. Observations (black solid line) and model
control run (black dashed line) from 1993 to present are also shown. The mean
for each lead month is removed as in Fig. 1. Vertical
bars indicate the same plus and minus one RMS error used in Fig.
1. The model control run from 1993 to February 2002 which employed the FSU
subjective wind product is shown for comparison (gray dashed line).