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 past and current 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. The cooling shown in the
previous forecast continues to be seen in the NINO3 SST anomaly forecasts for
the 3- and 6-month leads. The 9-month lead forecast has been for near normal conditions
for the beginning part of 2005.
Figure 2 shows the latest two forecast results (starting
from April and May, 2004, 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 April and May observations both show cooling in NINO3 continuing
through the end of summer 2004. While the minimum is sufficiently cold to
classify as La Nina conditions we caution that the model has over predicted
some past coolings. A moderate temperature increase follows to normal
conditions for late 2004 and early 2005.
References:
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
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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
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Reynolds, R. W., 1988: A
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Reynolds, R. W. and T. M.
Smith, 1994: Improved global sea surface temperature analyses using optimum
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and M. A. Cane, 1988: A model of the tropical Pacific sea surface temperature
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and D. Gutzler, 1995: Seasonal and interannual variability in a hybrid coupled
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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
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Waliser, D. E., B. Blanke,
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Figure Captions
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 May 2004. 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 April and May 2004.
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).