There are countless
examples of disasters exacerbated by
inaccurate predictions. In one case, in October 2003,
the U.S. Global Forecast System (GFS) Model, on which
most U.S. forecasts are based, predicted that in 48
hours about 2.5 centimeters of rain would fall off the
coast of the state of Washington, as well as an
insignificant amount further inland. A storm did indeed
appear, on 20 October, but it dumped more than 30 cm of
water inland, making 21 October the wettest day in
Seattle history and causing devastating floods in seven
counties [see photo, “Whoops!”]. The model’s
limited resolution was the likely culprit in this
forecast bust.
Basically, the model had missed conditions off the
coast of Asia, including several tropical storms and a
developing typhoon. In their early stages, these storms
were just too small to register on the model’s 35-km
resolution. They kicked off a wavelike disturbance in
the atmosphere that carried tropical moisture toward the
North American coast. In effect, it was an airborne
tsunami. When this wave hit the already developing
storm, the residents of Washington had a major flood.
Clearly, spacing the data points more closely together
on the grid would improve forecast accuracy. But halving
the distance between grid points in all three dimensions
increases the number of points by a factor of eight—two
in each spatial dimension. That increase in spatial
density also requires halving the time step, because the
ratio between the time step and the grid spacing has to
stay within certain parameters or the model produces an
excessive number of errors and the resulting forecast is
useless. Today the time step is typically about 15
seconds.
Therefore, doubling the resolution of the model would
increase the computing requirements by a factor of 16.
If you tried to look a week ahead with a global model
and one of today’s computers, it would take most of a
day to execute the whole program.
That’s too much time, because the computers used today
to do weather simulations have other duties. For
example, in the United States, the same computers used
to run the global models also tackle data assimilation
and compute the regional models, as well as long-range
climate and ocean models, which are growing in
importance. And the computer runs the entire set of
models again from new data every 12 hours for global
models and as often as every three hours for regional
predictions.
So today’s models are a compromise between resolution
and realistic run time. For example, the U.S. GFS Model
has a 35‑km horizontal resolution and a 60-level
vertical resolution. To look ahead 10 days, it takes a
little more than an hour and a half on a 308‑processor
IBM Power4 supercomputer, a system with an average
processing capacity of about 2 teraflops.
Of course, Moore’s Law, the anticipated periodic
doubling of transistor density and therefore processing
power of ICs, suggests that in about 10 years
meteorologists will be able to increase by a factor of
eight the resolution of numerical weather models and
still expect to churn through them in a reasonable
amount of time.
Researchers are already testing such higher-resolution
models as simulations. These simulations are currently
impractical for operational forecasting, as they take
longer than real time to produce results. In some cases,
the simulations cover the entire globe, but most of them
concentrate on worrisome events that could take shape in
specific regions—for example, hurricanes or severe
weather during the spring and early summer in the
continental United States. The simulations have
demonstrated that higher-resolution models can improve
predictions of such difficult weather features as
hurricane intensity and heavy rainfall.
Today, forecasters can’t predict storm intensity more
than a few hours in advance with any confidence. With
high-resolution modeling, researchers conjecture that
forecasters will be able to accurately estimate
hurricane intensity several days in advance.
In the
absence of sufficiently powerful computers,
forecasters have to rely on clever techniques to
minimize the potential of errors being magnified by the
chaotic nonlinearity of weather. One of their key
strategies is to run groups of models, called ensembles,
rather than single models.
To produce a forecast ensemble, a numerical weather
prediction system repeatedly runs the same weather model
but changes the initial state slightly each time by
adding small increments to the original atmospheric
measurements. A temperature reading of 21 oC at a
certain grid point, for instance, might be changed by a
10th of a degree. A relative humidity at a different
grid point might be increased by half a percent, and so on.
A range of reasonable forecasts emerges. As
forecasters execute the programs repeatedly, one member
of this forecast ensemble appears most frequently, and
meteorologists regard that as the most likely forecast.
They don’t discard the other members but rather use them
to calculate the probability that a particular forecast
will come to pass—for example, a 60 percent chance of
rain or a 70 percent chance of a hurricane’s striking a
particular section of coastline.
Ensembles were key to the confidence researchers had
in the numerical forecasts of Hurricane Katrina’s path.
On 25 August, as the storm passed over Florida, the
predictions generated by different members were all over
the place—atmospheric conditions magnified small changes
dramatically. For instance, the winds in the area as
Katrina approached Florida were so divergent that a
minor difference in the predicted location at that point
led to major differences in predictions of the storm’s
path further out.
Forecasters therefore were unable to say with any real
confidence where Katrina was heading. But by 26 August,
the ensemble predictions began to coalesce into a
smaller range of potential forecasts [see maps,
“Aiming for New
Orleans”]. By 27 August, one path clearly
had a very high degree of probability, and forecasters
could confidently predict the hit near New Orleans,
which occurred on 29 August. Accurately communicating
this changing degree of uncertainty to decision makers
and the public is a critical challenge for forecasters.
Ensembles, of course, add to the processing burden.
But the advantage of the ensemble approach is that the
burden can be easily shared among many computers—even
ones separated by continents or oceans. And thanks to
international cooperation in ensemble modeling, we may
be able to use larger ensembles long before 10- or
20-teraflop computers become available.
Modeling organizations in different countries are
already sharing their research as well as results of
complete model runs. A forecaster in the United States
is likely to check his results against predictions about
the same weather event computed by his colleagues in the
United Kingdom, for example.
But collaboration by several countries in
simultaneously producing a single ensemble forecast is
not yet possible. That kind of collaboration would be a
major step forward: it would allow individual facilities
to each run fewer versions of higher-resolution models,
resulting in greater accuracy.
In hopes of making collaboration on individual
ensembles routine, the world’s major forecast centers
are starting to work together. Already the United States
and Canada are sharing their ensemble members and
combining them to produce a single forecast. Such
collaboration requires that forecasters standardize
independently developed models by putting the
predictions from the different models onto a common grid
and then calibrating the system to remove the biases
inherent in each model. Some models, for example,
predict consistently warmer or colder temperatures than others.
Work is under way to combine the ensemble models of
the world’s major global forecast centers. In January
2005, the 187 nations of the World Meteorological
Organization (WMO), based in Geneva, under the auspices
of the United Nations, launched a 10-year effort to
accelerate the current rate of improvement in forecasts
and reduce worldwide fatalities from weather events by
half. The project is called The Observing System
Research and Predictability Experiment (Thorpex). Its
aims include researching the benefits of producing a
single international forecast by combining the ensembles
of all the various forecast systems.