U.S. Dept. of Commerce / NOAA
/ OAR / ERL
/ GFDL
*Disclaimer
GOALS
To develop methods of stochastic-dynamic prediction capable of extracting as much useful forecast information as possible from numerical prediction models given imperfectly observed initial conditions.
To develop and improve numerical models of the atmosphere-ocean-land system in order to produce useful forecasts with lead times of several weeks, months, seasons or years.
To understand the limits of predictability of the ocean-atmosphere system with emphasis on quantifying the amount of useful forecast information that could be available at lead times of several weeks, months, seasons or years.
To develop methods for the assimilation of observations into dynamical models in order to improve predictions of the ocean and atmosphere.
3.1 FLEXIBLE/MODULAR MODELING SYSTEM
ACTIVITIES FY98
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3.1.1
Atmospheric Model Development
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3.1.1.1
Global Atmospheric Grid Point Model
B. Wyman
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A
highly flexible and modular version of the B-grid dynamical core (1351)
with more user-friendly interfaces has been developed using Fortran-90
enhancements. This code has been optimized on the GFDL Cray T90 with a
reduction of about 20 percent in CPU time. The code has been incorporated
into the full Atmospheric General Circulation Model (AGCM) and modular
physics (3.1.1.3) and has been used in developing the framework for the
new flexible coupled models (3.1.2).
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3.1.1.2
Flexible Spectral Model
J. Anderson I.
Held
V. Balaji P.
Phillipps
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The
flexible spectral dynamical core has undergone continued development to
improve efficiency on the Cray T90 and to make the spectral model interfaces
consistent with those of the B-grid model (3.1.1.1). Tests with various
physical parameterizations originally developed in the B-grid context have
been completed. Extensions to incorporate a semi-Lagrangian advection scheme
are being considered; initial tests with such advection schemes in simple
models have been completed.
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3.1.1.3
Modular Physics Parameterizations
J. Sirutis
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A
modular version of the SiB (Simple Biosphere Model) land surface parameterization
has been created and tested in off line runs. Development of a modular
version of the full Arakawa-Schubert cumulus parameterization scheme has
been completed.
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3.1.1.4
Spectral Model Parallelization
V. Balaji
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The
design of GFDL codes is evolving apace with computer architectures and
compiler technologies. In particular, codes are now in transition from
an era dominated by vector supercomputers to one where massively parallel
processing architectures may dominate. The new spectral core is likely
to be of vital importance to GFDL in coming years, and will be a key component
of a coupled ocean-atmosphere model now under development. Substantial
effort has been devoted to its parallelization for distributed memory architectures.
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The
relevant feature of spectral models is that each model field has a spectral
and a grid representation, and operations are performed on each representation
at each timestep. Linear terms are treated in the more succinct spectral
representation, while physical parameterizations are applied on the grid
representation. The problem arises with non-linear terms, such as in advection,
which, if explicitly expanded, result in a sum of terms quadratic in the
order of the expansion. The transform method is used to convert spectral
fields to grid space for the computation of non-linear terms and then back.
Since this method involves frequent transformations between grid fields
and spectral fields, efficient numerical transform methods have been developed,
including parallel methods.
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In
keeping with the modular approach, a data decomposition and communication
tool called "mpp_mod" has been developed for the spectral core.
This module has a flexible interface for specifying decompositions of the
global grid among processors. Conceptually, the module distinguishes the
"computational domain" (the set of grid points for which computations
are to be done on any processor in a distributed environment) and the "data
domain" (the set of points whose values need to be available in order
to carry out the computation). If points in the data domain have been altered,
the data domain must be updated, by acquiring data as required from other
processors, before the computation can go forward. The "mpp_mod"
module maintains the processor map as a linked list, and contains routines
for managing these communications with a straightforward interface. Internally,
communication is carried out on the GFDL Cray T3E using either the MPI
standard (http://www.mcs.anl.gov/mpi) or the Cray-native SHMEM library,
which is faster, but proprietary. The domains described here are conceptually
general, and can be used to specify computational domains with halo regions
for distributed grid-point models as well.
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The
spectral core is now being parallelized using the approach above. Scaling
studies have been carried out at various resolutions (R30, T42, T63, T106,
T213) using a one-dimensional decomposition where spectral fields are distributed
along the Fourier wavenumber and grid fields along latitude, requiring
a data transposition between the Legendre and Fourier transforms, which
are carried out on-processor. The code is now under modification to be
run in a shared-memory parallel mode as well.
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3.1.2
Coupled Model Development
J. Anderson B.
Wyman
I. Held
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In
order to support coupled modeling in a flexible framework, it is desirable
to eliminate, as much as possible, the impacts of decisions made in one
component model, say the ocean, on another component model, for instance
the atmosphere. A coding framework for allowing the coupling of component
models with arbitrary grids is under development. One result of this effort
that is new to GFDL is that models of the land surface can be developed
on their own grid and mostly independently of atmospheric models. The framework
also minimizes the impact of design choices in atmosphere, ocean and ice
models on each other.
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To
support this coupled model coding framework, a tool for conservative interpolation
between arbitrary grids has been developed. In its present form, this tool
accepts information describing the grids of various component models and
creates an interpolation mapping that can be used to transfer information
between the different model grids. The module has been developed so as
to isolate the impacts of parallel computer architectures in a small portion
of the interpolation code. Initial versions of atmosphere-ocean-ice-land
models coupled with this tool have been completed and successfully integrated.
The interpolation tool is relatively efficient on vector architectures
and efforts to produce efficient MPP implementations are underway.
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3.1.3
Support Tools for Modular Models
J. Anderson B. Wyman
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Work
has continued on a number of software tools to support the development
of flexible models of components of the climate system (atmosphere, ocean,
land, ice). The time and calendar manager completed last year has been
incorporated successfully into the MOM ocean model and into the grid point
and spectral model cores. A flexible interface using the facilities of
Fortran-90 to read and write NetCDF format files has been completed and
incorporated into the atmospheric dynamical cores and physics packages.
An improved version of the modular model compilation tool has been developed
and is in use to create complete modular models from separately developed
and managed components on both the Cray T90 and the SGI workstations. This
system allows a single copy of a module's source code to be used to build
a variety of models on either computing platform and does not require the
creation of any additional files (such as Makefiles). An HTML-based system
for documenting flexible modeling components is under development. In addition
to documenting individual component modules, this system interacts with
output of the compilation tool to produce a set of graphical analyses of
the components of a particular model configuration.
PLANS FY99
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Complete
atmosphere-land-ice-ocean coupled GCMs using both B-grid and spectral dynamical
cores and the coupling tool will be developed and integrated.
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Atmosphere
and coupled integrations with flexible GCM dynamical cores will be performed
as the flexible modeling system becomes the operational tool for experimental
prediction at GFDL. Climate versions of these models will be developed
in parallel and evaluated by GFDL climate groups.
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New
physical parameterizations, for clouds in particular, will be completed
and tested in the flexible modeling system.
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Work
will continue on producing scalable versions of the spectral dynamical
core that can be run efficiently on a variety of architectures. The B-grid
dynamical core will be converted to a scalable form.
3.2
MODEL DEVELOPMENT FOR SEASONAL/INTERANNUAL PREDICTION
ACTIVITIES FY98
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3.2.1
Sensitivity to Subgrid-Scale Parameterizations
C.T. Gordon J. Sirutis
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Removal
of an upper troposphere-lower stratosphere cap on convection in the RAS
cumulus convection scheme yielded a more realistic coupled model simulation
of the ITCZ and a reduced SST cold bias in the western tropical Pacific
(cl) (Fig. 3.1). Conversely, the model's tropical tropopause rose to 50
hPa, while the 100 and 200 hPa levels warmed by approximately 10K and 6K,
respectively. These unrealistic responses had adverse consequences for
the atmospheric general circulation. In an attempt to have the best of
both worlds at the surface and near the tropopause, the high cloud component
of the atmospheric model's cloud prediction scheme was re-tuned. Two modifications
produced rather dramatic results. First and foremost, the quadratic, temperature-dependent
parameterization of optical depths of cold, cirrus clouds (based upon a
scheme of Harshvardhan) was re-activated for the non-anvil class of high
clouds. This modification reduced the emissivity of high clouds in convectively
inactive regions, including those in the tropics. Second, the bases of
high clouds were permitted to reside one sigma layer beneath their tops,
if warranted by the local vertical profile of relative humidity. This modification
altered the vertical profile of long wave radiative heating/cooling generated
by the model's high clouds. Hence, the spatial pattern of outgoing longwave
radiation (OLR) improved and the warm bias at 100 hPa and 200 hPa decreased
at least to the levels experienced in the previous version of RAS, while
the ITCZ and SST improvements were retained.

M. Harrison A. Rosati
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The
verification of the ocean model is complicated by the strong dependence
of the model solution on surface forcing. This is a dilemma for tropical
ocean modeling in particular due to the strong interaction between planetary
wave dynamics in the thermocline and surface mixed layer processes. In
order to study the ocean model response to surface forcing, subgrid scale
parameterization, and variation of model grid resolution, several experiments
were run. The model domain covered the Pacific basin and the simulation
period was 1979-1997. Some of the more notable sensitivity tests were:
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Evaluation
of these experiments was performed in the context of comparisons to observed
data, i.e., TAO (Tropical Atmosphere Ocean) moorings, TOPEX altimetry,
and COARE data. Some of the current phenomenological studies using these
simulation runs are:
M. Harrison A. Rosati
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Traditional
ocean model development has involved using a prescribed boundary condition
for momentum and a constraint on sea surface temperature (SST) and salinity
(SSS) values through linear damping terms. Such constraints on the ocean
do not allow for a complete evaluation of the ocean model in the context
of a fully coupled GCM. A statistical atmosphere has been implemented to
help further ocean model development for seasonal to interannual tropical
forecasts. A singular vector decomposition of the observed wind vector
and SST covariance matrix is performed in order to extract patterns of
covariance in these fields. The issue of the SST and SSS constraints are
addressed through the use of linear damping terms using empirically derived
heat flux/SST relationships.
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Surface
heat fluxes are not well observed and are quite sensitive to closure assumptions
for the near-surface atmospheric boundary layer, as well as assumptions
about the impact of clouds on the surface radiation budget. As a result,
drift is inevitable due to imbalances in the ocean/atmosphere heat flux
requirements. By running the component models uncoupled, but tied to observed
temperatures near the ocean surface, the corresponding heat fluxes can
be compared and will, in the absence of perfection, differ. Such imbalances
are the basis for "flux adjustments" used in some climate simulations.
One can imagine that the climate system is somehow tied to a climatological
state at the surface (i.e., a mean annual cycle) and a damping restoring
force exists which leads the system back to the climatological state. This
is, in fact, verifiable in the tropics owing to the influence of the Clausius-Clapeyron
relation, which means the saturation vapor pressure of air immediately
above the ocean surface increases with rising SST and leads to an increase
of turbulent latent heat transport to the atmosphere, thus reducing SST.
While cloud and wind feedbacks can mitigate this process, such a constraint
seems to be justified in the tropics. This is not the case in higher latitudes
where, in general, circulations are more complicated owing to the variability
associated with synoptic disturbances. Local regressions of surface heat
flux anomalies (with the mean annual cycle removed) to interannual SST
anomalies are performed using the NCEP reanalysis and the experimental
prediction group atmospheric model. These regressions are used in the hybrid
coupled model runs in addition to the wind SST relationship. Regression
values for SSS are set to a constant value since a clear relationship between
SSS and evaporation/precipitation anomalies is not observed.
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The
hybrid coupled model allows for a free coupled system, not constrained
too strongly to climatology, which can mimic to some extent the behavior
of a fully coupled GCM (with a flux adjustment). This allows for a more
complete assessment of the impacts of ocean sub-grid parameterizations
and resolution on tropical variability.
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3.2.4
Correction of Systematic Errors in Coupled GCM Forecasts
J. Anderson X.-Q. Yang
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A
method called the prognostic tendency (PT) correction is used to reduce
systematic errors in coupled GCM forecasts with realistic initial conditions.
The idea is simple: assess the systematic prognostic tendency error (STE)
of the coupled model and subtract it from the discrete prognostic equations.
The STE can be estimated by calculating a climatologically-averaged tendency
between the forecast value at a very short lead time and the observed initial
value and discarding the part associated with the mean seasonal cycle.
The STE may be defined as a function of season or as a climatological annually-averaged
constant. The PT correction is currently only applied to the three-dimensional
ocean temperatures, for which the STE is computed using a very large ensemble
of very short forecasts with the coupled GCM. Large values of the STE are
found in the subsurface as well as at the surface, in the high latitudes
and in the tropical regions. In the tropical Pacific, the dominant pattern
for the STE from the surface through the subsurface is characterized by
a warming tendency error in the east and cooling error in the west, while
in the high latitudes the STE is confined to the surface with a cooling
tendency error in the winter hemisphere and warming in the summer hemisphere.
The three-dimensional STE structure assessed from the very short forecasts
for the oceanic temperature is roughly consistent with the drift behavior
of the uncorrected coupled model. The PT correction was incorporated into
the coupled GCM system, and two sets of 12-month forecasts with January
initial conditions were produced. One uses the annual cycle correction
which subtracts the STE defined as a function of season, and the other
uses the annual mean correction with the STE defined as a constant. These
were compared to a set of forecasts without any correction. The results
are summarized in Fig. 3.2, and show that both corrections can greatly
reduce the drift of the coupled model and maintain a more realistic mean
seasonal cycle in the oceanic temperature field, especially the annual
cycle in the eastern Pacific. The impact of the PT correction on the ENSO-related
interannual variability and forecasting skill was also examined. The annual
mean correction tends to be more helpful in producing a higher skill of
ENSO prediction with a longer lead time. The feedback mechanisms responsible
for the improvement of mean annual cycle due to corrections and possible
impact of corrections on the extratropical seasonal forecasts were also
investigated.
PLANS FY99
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Ocean
simulation runs will be used to explore further the phenomena mentioned
in 3.2.2 through the analysis of heat and momentum budgets. The sensitivity
studies will be used

in an attempt to configure coupled GCMs so that mean bias is reduced and forecast skill is improved.
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Investigation
of ocean model development and prediction issues using the hybrid coupled
model will continue. External stochastic forcing will be included for the
coupled model simulations. Stochastic forcing (1339), for the 1997 event
in particular, has been discussed as an important factor in warm event
development.
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The
inter-decadal sensitivity of ENSO forecast skill to realistic marine stratus
clouds will be further examined, using the ensemble of model simulations
and forecasts (3.3.1). New coupled model ENSO forecasts will be made with
the modified RAS cumulus convection scheme and re-tuned cloud prediction
scheme. The analysis of the sensitivity of the coupled model's annual cycle
and its inter-annual response to various treatments of low cloud forcing
(1403) will continue, using additional analysis techniques such as singular
value decomposition (SVD) analysis.
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The
equatorial temporal variability of surface fluxes and other variables from
long term coupled and uncoupled GCM integrations will be analyzed. Results
from the latter (with specified SSTs) will be compared with NCEP re-analyses
and COADS analyses.
3.3
ATMOSPHERIC AND OCEANIC PREDICTION AND PREDICTABILITY
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3.3.1
Coupled Model Ensemble Prediction Experiments (CMEP)
J. Anderson A.
Rosati
C.T. Gordon J. Sirutis
R. Gudgel R.
Smith
M. Harrison W. Stern
J. Ploshay
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A
large set of experiments consisting of ocean data assimilation, atmosphere-only
integrations, and coupled model forecasts using a frozen version of the
atmosphere (version V197) and ocean (MOM II) models has been completed.
The experiments were motivated by a number of goals designed to improve
seasonal-interannual prediction, including:
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The
core of the experiments is an ensemble of simulations and predictions with
the atmosphere and coupled models. Each member of an ensemble is composed
of an atmosphere-only integration (each starting from slightly perturbed
initial conditions) for the duration of the ocean data assimilation period
(currently 1979 to 1997), plus a set of coupled model forecasts started
every six months (1 January and 1 July) with initial ocean conditions from
the assimilation and initial atmosphere conditions from the atmosphere-only
integration. An initial ensemble of six members has been completed. One
coupled run from the first ensemble member has been extended to several
decades to examine the internal variability of this coupled model.
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A
number of auxiliary experiments have also been completed. These include
a set of coupled predictions with observed atmospheric initial conditions
from the NCEP reanalysis, a large suite of single timestep coupled runs
to derive the systematic error tendency (3.2.4), a limited ensemble of
coupled predictions with systematic error correction (3.2.4), an extended
coupled integration with systematic error correction, and a number of atmosphere-only
and coupled runs from different ocean assimilations.
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Output
from the coupled model ensemble prediction experiments is available in
a standard NetCDF format and has been made available to members of the
GFDL University Consortium, as well as to researchers within GFDL for analysis.
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3.3.2
Interannual and Interdecadal Predictability of Tropical
Storms
J. Anderson F. Vitart
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Tropical
storms simulated by a nine-member ensemble of GCM integrations forced by
observed SSTs have been tracked by an objective procedure for the period
1980-1988 (1455). Statistics on tropical storm frequency, intensity and
first location have been produced. Statistical tools (Chi-Square or Kolmogorov-Smirnov
tests) indicate that there is significant potential predictability of the
interannual variability of tropical storm frequency, intensity and first
location over most of the basins. This implies that SSTs play a fundamental
role in model tropical storm interannual variability. An EOF analysis of
local SSTs over each ocean basin and a combined EOF analysis of vertical
wind shear, 850 mb vorticity and 200 mb vorticity have been performed.
Over some basins like the western North Atlantic, the impact of SSTs on
simulated tropical storm statistics is an indirect effect through the large
scale circulation, as in observations.
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It
has been observed that the number of Atlantic tropical storms was higher
in the 1950s than in the 1970s. To test the ability of the GCM to simulate
such decadal change, a 10-member ensemble of atmospheric GCM integrations
forced by observed climatological SSTs from the 1950s has been performed.
The results are summarized in Fig. 3.3, which shows a significantly (99%
significance) higher number of tropical storms compared to similar integrations
using climatological SSTs from the 1970s. Further examination indicates
that it is the

local cooling of tropical North Atlantic SSTs that is responsible for the decrease of simulated tropical storm activity in the 1970s.
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3.3.3
Tropical Intraseasonal variability
A. Rosati W.
Stern
R. Smith
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Space-time
power spectra for the 850 mb velocity potential from a five-case ensemble
of integrations with the current (v197) atmospheric GCM (AGCM) configuration
show a dramatic improvement relative to earlier AMIP I ensemble results
(cj), with the main difference being attributed to changes in the convection
scheme (i.e., Relaxed Arakawa-Schubert in v197 versus moist convective
adjustment in the AMIP I). These AGCM ensemble mean space-time spectra,
along with v197 coupled GCM ensemble mean spectra, are plotted in Fig 3.4.
It is evident that the dominant modes for tropical intraseasonal oscillations
(TIO) in the v197 AGCM ensembles have more than twice the amplitude of
the dominant TIO modes in AMIP I and the period is shifted to the 40-60
day range as compared to approximately 30 days. In addition, tropical intraseasonal
oscillations (TIO) from the (five case) ensemble of v197 coupled GCM predictions
appear to be of somewhat stronger amplitude and somewhat slower speed (approximately
60 days versus approximately 50 days) when compared to the v197 AGCM ensemble
results. This is presumably an impact of the interactive ocean. Studies
are currently underway to investigate the potential predictability of TIO
by looking at the significance of interannual TIO fluctuations.
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3.3.4
Relationship Between Tropical Convection and SST
R. Gudgel A. Rosati
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This
study examines the relative roles of the large-scale circulation and SST
on the relationship between tropical convection and SST. The SST, outgoing
longwave radiation (OLR), and wind divergence fields from the atmosphere-only,
coupled model predictions, and coupled model long run of the CMEP experiment
(3.3.1) have been compared to each other and to observations in order to
understand better the complex relations between these fields. The comparisons
to observed fields showed significant bias in the convection scheme, a
problem now under investigation (3.2.1).
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3.3.5
Coupled Model Equatorial Response to Different Specifications
of Low Clouds
C.T. Gordon M.
Harrison
R. Gudgel A.
Rosati
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In
a previous multi-year coupled model sensitivity experiment, the seasonal
cycle of SSTs in the eastern equatorial Pacific was found to improve substantially
when the model-predicted low clouds over the ocean were replaced with a
specification from the ISCCP (International Satellite Cloud Climatology
Project) database. This result was attributed to the fact that the ISCCP
clouds quasi-realistically simulated the marine stratus regime. Now, an
additional suite of multi-year sensitivity experiments has been performed
to help elucidate cloud feedbacks upon the equatorial dynamics in the context
of the annual mean SST and its seasonal cycle in the equatorial Pacific,
as well as SST variability on the ENSO time scale. All members of the suite
of experiments may be viewed as employing specified low clouds over the
oceans based upon ISCCP multiplied by a scale factor SF. The distinguishing
characteristic of each experiment amongst the suite is the value of SF:
1.0 (full ISCCP), 0.8, 0.5, 0 (zero low clouds), and a hybrid specification
corresponding to full ISCCP (SF = 1.0) in the tropical Pacific, east of
longitude 120W, and no low clouds (SF = 0) elsewhere. In all experiments,
low clouds over land as well as high and middle clouds over both land and
sea are predicted by the atmospheric model's empirical cloud prediction
scheme.
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A
modified view of the feedback of clouds upon coupled model equatorial dynamics
has emerged from the above suite of sensitivity experiments. The presence
of marine stratus leads to an intensification of the trade winds and upwelling.
In turn, the strength and westward extent of the eastern equatorial Pacific
affects the SSTs in the western equatorial Pacific. However, the efficiency
of this circulation is modulated by the sign of the SST and heat content
biases in the western equatorial Pacific cold tongue on a somewhat delayed
time scale. More specifically, a cold bias (warm bias) in the western equatorial
Pacific reinforces (opposes) the positive feedback of the marine stratus
upon the equatorial dynamics. Meanwhile, the temperature bias in the western
tropical Pacific itself can change sign due to a relatively modest change
in low cloudiness and short wave radiation at the ocean surface. Overall,
the SF = 0.8 simulation is perhaps the most realistic, as it retains most
of the strength of the seasonal cycle of the simulation with the impact
of ISCCP low clouds, while exhibiting a reduced cold bias in the western
tropical Pacific and somewhat stronger interannual variability on the ENSO
time scale. The results also suggest that the SST simulation across the
tropical Pacific is very sensitive to cloud amount and cloud optical properties.
The 0.8 ISCCP vs. 1.0 ISCCP differential low cloud amount field is quite
small in the western tropical Pacific, and may be difficult for cloud parameterization
schemes to predict.
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3.3.6
Predictable Component Analysis
S. Griffies T. Schneider
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A
conceptual framework has been developed for a unified treatment of issues
arising in a variety of predictability studies. The predictive power (PP),
a predictability measure based on information-theoretical principles, lies
at the center of this framework. The PP is invariant under arbitrary linear
coordinate transformations and applies to multivariate predictions without
making assumptions about the probability distribution of prediction errors.
For univariate Gaussian predictions, the PP reduces to the conventional
predictability measure that is based on the ratio of the rms prediction
error over the rms error of a "prediction" drawn randomly from
the climatology.
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Climatic
variability on intraseasonal to interdecadal time scales follows an approximately
Gaussian distribution. For multivariate Gaussian predictions, the predictability
measure PP makes it possible to discriminate a system's predictable components
from its unpredictable components. Predictable components can be extracted
by predictable component analysis, a procedure derived from discriminate
analysis: seeking components with large PP leads to an eigenvalue problem,
whose solution yields uncorrelated components that are ordered by PP from
largest to smallest.
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The
application of the PP and the predictable component analysis in different
types of predictability studies has been described. Studies are being considered
that use either ensemble integrations of numerical models or autoregressive
models fit to observed or simulated data.
PLANS FY99
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A
number of studies using the results from the CMEP experiments will be performed
to address the goals listed in 3.3.1. In particular, forecast skill and
potential skill will be examined for both tropical and extratropical fields.
The impacts of ocean and atmosphere initial conditions on skill and potential
skill will also be studied.
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Experiments
will continue, using the CMEP experiments as a baseline, to evaluate possible
improvements to coupled models for seasonal/interannual prediction. Of
particular interest will be improvements to atmospheric and ocean model
physical parameterizations, especially cloud and convective parameterizations.
An effort to understand methods for reducing initial drift of coupled model
forecasts will begin.
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Efforts
to explore the relationship between SST and convection in model runs and
observations will continue, with a focus on seasonal and interannual variability
of the ITCZ.
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Predictable
component analysis will be applied to atmosphere-only and coupled model
integrations from the CMEP experiments.
ACTIVITIES FY98
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3.4.1
Nonlinear Filter for Ensemble Data Assimilation
J. Anderson
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Knowledge
of the probability distribution of initial conditions is central to almost
all practical studies of predictability and to improvements in stochastic
prediction of the atmosphere. Traditionally, data assimilation for atmospheric
predictability or prediction experiments has attempted to find a single
"best" estimate of the initial state. Additional information
about the initial condition probability distribution is then obtained primarily
through heuristic techniques that attempt to generate representative perturbations
around the "best" "estimate (1509). However, a classical
theory for generating an estimate of the complete probability distribution
of an initial state given a set of observations exists. This non-linear
filtering theory can be applied to unify the data assimilation and ensemble
generation problem and to produce superior estimates of the probability
distribution of the initial state of the atmosphere (or ocean) on regional
or global scales. A Monte Carlo implementation of the fully non-linear
filter has been developed and applied to several low order models. The
method is able to produce assimilations with small ensemble mean errors
while also providing random samples of the initial condition probability
distribution. The Monte Carlo method can be applied in models that traditionally
require the application of initialization techniques without any explicit
initialization. Fig. 3.5 demonstrates the application of the Monte Carlo
filter in the simple 3variable Lorenz-63 dynamical system. Initial application
to larger models is promising, but a number of challenges remain before
the method can be extended to large realistic forecast models. The method
has been applied successfully in a spectral barotropic model at T42 resolution.
An effort is underway to apply the data assimilation algorithm in the context
of the flexible Bgrid model (3.1.1.1) with simple physics.
M. Harrison A. Rosati
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Perhaps
the main utility of Ocean Data Assimilation (ODA) is to help correct for
the mean bias of both the ocean model and atmospheric forcing (1457). However,
continued improvements of the type discussed earlier (3.2.3) are needed.
Naturally, efforts at improving the ODA are intimately related to ongoing
model development efforts.
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In
order to produce ocean initial conditions that are more consistent with
the coupled model, the ODA system was run from 1979-1997 forced by daily
winds from the atmosphere-only runs. This is a first attempt to address
the issue of initialization shock. While the forecast runs indicate a sensitivity
to the ocean initial conditions using different wind forcing, the forecast
results were comparable to those ocean initial conditions from the ODA
forced with NCEP reanalysis winds.
PLANS FY99
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The
Monte Carlo Filter will be applied to the B-grid model to determine if
the method is capable of scaling to realistic prediction models.

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Aspects
of the ODA scheme that improve initialization of the coupled model with
regard to a reduction of shock and improved forecast skill will be investigated.
In particular, the sensitivity to forcing, the first guess and observational
statistics, and data coverage will be examined.
3.5
OCEAN-ATMOSPHERE INTERACTIONS
A. Fedorov B.
Winter
S. Harper A.
Wittenberg
S.G.H. Philander
ACTIVITIES FY98
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Although
much progress has been made in our understanding of El Niño during the 1980's
-- no one anticipated the event of 1982, but by 1987 there were coupled
ocean-atmosphere models capable of skillful predictions -- the 1990's brought
surprises. First there was the unexpected persistence of unusually warm
surface waters over the eastern tropical Pacific after El Niño of 1990,
then there was El Niño of 1997 which the models predicted with mixed success.
Has there been a change in the properties of El Niño between the 1980s and
1990s? Analyses of long time-series indicate that El Niño is subject to
decadal modulations (dw), energetic up to the early 1930s, then practically
disappearing for a few decades before reappearing in the late 1950s. The
possible causes of these changes are being investigated via analysis of
data from the TOGA-TAO array, analyses of gridded data sets provided by
a GCM that assimilates the available measurements, and through modeling
studies.
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A
change in the mean state of the tropics is one possible explanation for
the decadal modulation of El Niño. (Simple coupled ocean-atmosphere models
in which the mean depth of the thermocline is specified show that the amplitude
of the simulated Southern Oscillation is very sensitive to changes in that
depth.) The processes that maintain the thermocline include a shallow,
wind-driven meridional circulation that involves the subduction of surface
waters in the subtropics off the western coasts of the Americas, Africa,
and Australia. Studies with a realistic ocean GCM indicate striking differences
between the three oceans. Whereas water parcels can reach the equator from
either hemisphere in the Pacific, this is possible only from the Southern
Hemisphere in the much smaller Atlantic and Indian Oceans. The implications
of this result, which suggests that low frequency variability in low latitudes
can have very different origins in the three oceans, have been explored
for the case of the Pacific by means of a simple coupled model of self-sustaining
decadal oscillations (bo).
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The
continual exchange of surface waters between the tropics and extratropics
means that a change in high latitude conditions will, in due course, affect
the tropics. The manner in which the unusually low surface temperatures
of the polar regions during the Last Glacial Maximum (LGM) affected low
latitudes has been a matter of much debate. At first, it was believed that,
during the LGM, the tropics were only slightly colder than they are today.
However, recent data indicate that the tropics were significantly colder.
Calculations with coupled GCMs show that, because of the shallow meridional
circulation that links the tropics and extratropics, a cooling of the polar
regions caused the tropical thermocline to shoal. The resultant decrease
in sea surface temperatures were then amplified by local interactions between
the ocean and atmosphere, interactions of the type that characterizes El
Niño.
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The
importance of the mean state to interannual fluctuations emerges from a
study of the energetics of the Southern Oscillation. Data from a realistic
simulation over a prolonged period indicate that the surface winds do positive
work on the ocean and create available potential energy during half the
cycle, and destroy that available potential energy during the other half.
If the work done is represented by the terms
where bars indicate a time average, and primes indicate the departure from
a time-average, then the first term is found to be dominant by a large
margin. This result suggests that the background state that supports El
Niño as part of an interannual oscillation is characterized by certain time-averaged
winds with which are associated a certain zonal temperature gradient, and
a zonal slope of the thermocline. Current research is focussed on determining
whether there were changes in these fields between the 1980s and 1990s.
PLANS FY99
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Studies
planned for the coming year include the effect of warm and cold extratropical
surface anomalies on the tropical thermocline, and the dependence of the
spectrum of interannual, coupled ocean-atmosphere modes of oscillation
on the mean state (time-averaged climate) of the tropics. A principal question
will be whether the time-averaged zonal component of the wind has to exceed
a certain value before interannual oscillations are possible. These studies
are part of a long-term effort to develop realistic coupled ocean-atmosphere
models.
*Portions of this document contain material that has not yet been formally published and may not be quoted or referenced without explicit permission of the author(s).