Prediction
of NINO3 SST anomaly in a hybrid coupled model with a
piggy-back
data assimilation initialization
contributed by Joyce E. Meyerson, Hui Su and J.
David Neelin
Department of Atmospheric Science
University of California, Los Angeles, California
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
from 1991 to
present been verified against the observations from the Reynolds optimal
interpoloation (OI) SST data set (Reynolds et at., 2002; Reynolds 1988;
Reynolds and Smith 1994), now referred to as Reynolds OI SST version 1.
Recently this version 1 product was discontinued and replaced with a version 2
SST product (Smith and Reynolds 1998). Verification observed SST anomalies are
now shown against the version 2 product.
The
initialization scheme makes use of wind information (FSU pseudo-stress
converted to wind stress), the ocean model data assimilation product from the
Climate Prediction Center (CPC) (Ji et al., 1995) and SST anomalies to
initialize the atmospheric model. In
addition to specifying 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.
In March
2002, Florida State University (FSU) changed to an objectively analyzed pseudo-stress
product (Bourassa et al., 2001).
Description of the impacts of this objective wind stress product on our
forecast scheme are given in the June 2002 issue of ELLFB for runs over the
period 1993 to June 2002. The change to
Reynolds OI SST version 2 was made as of our June 2003 forecast. In neither case was the forecast system
itself altered, aside from the change in data set. While changes in each data set are not large, they do have
noticable impacts upon forecasts. We
have therefore re-run model initialization runs and hindcasts over the baseline
period 1982-93, using the two new data sets, and recomputed the model drift and
error bars as the mean and root-mean-square error in SST anomaly, respectively,
as a function of forecast lead time over all hindcasts in that period. To minimize the alteration in the forecast
scheme, both the FSU objective wind stress and the Reynolds OI version 2 SST
product are used as anomalies with respect to their 1978-1993 mean. Figures 1 and 2 present the NINO3 index for forecasts and initialization
from 1993 to present overlaid onto previously published forecasts through
September 2003. The previously
published forecasts utilized the subjective FSU wind product until March 2002
and Reynolds OI version 1 SST until July 2003. We note that the previously
published initialization contains a substantial jump in SST anomaly at the time
of the switch to FSU objective winds.
Figure 1 shows NINO3 SSTAs for observations (3-month
running average, thick black curves) and forecasts (gray curves) at 0-, 3-, 6-
and 9-month lead (previously published results dashed gray curves). Averages of
each lead month based on forecast verification over the 1982-1993 time span are
removed before plotting the curves.
Vertical bars represent plus and minus one RMS error, over the same
forecast verification time span. NINO3
SST anomaly forecasts for 3- and 6-month leads show continued warm conditions
through the spring of 2004.
Figure 2 shows the latest two forecast results (starting
from October and November, 2003, respectively, for 12 months, dark dotted
line), with the mean over the forecast verification time span (1982-1993)
removed. The observations (solid line), model initialization run (dark dashed
line) and the previously published results (light dashed line) since 1993 are
also displayed. Forecasts initiated
with October and November observations both show continued warming through the
end of the year, indicating a mild to moderate El Nino, followed by a cooling
trend beginning early in 2004 and continuing through the summer months. The spread between the two forecasts is
large enough to suggest lower confidence in the accuracy of the summer
forecast.
References
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Fig. 1. The forecasts of NINO3 SST anomalies from 1993 to
present using the new FSU objective wind product and Reynolds OI version 2 SST
data (solid gray/pink curve), and previously published forecasts (dashed gray
curve; see text for details). All initializations include CPC assimilated ocean
temperature data. The latest forecast starts from November 2002. The mean for
each lead month over the forecast verification time span (1982-93) is removed
before plotting. Vertical bars
represent plus and minus one RMS error over the same forecast verification time
span. Shown for (a) 0-month, (b) 3-month, (c) 6-month and (d) 9-month lead.
Fig. 2. The latest two forecasts (dotted lines) of NINO3
SST anomalies up to 12 lead months starting from October and November 2003.
Observations (black solid line) and model initialization run (black/red 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 previously
published model initialization run from 1993 to February 2002 which employed
the older data sets is shown for comparison (gray dashed line).