What's
the problem ?
Most notably you will see "bulls eyes"
of excessive QPF over short time ranges (like 6 or 12 hours). They are
also accompanied by small but intense mid level vort maxima. These
vort maxima usually seem to "just appear out of no where" - that is they
are not traced back to some existing feature in the initial conditions.
Sometimes you will see a weak low in the surface pressure field in association
with the mid level vorts.
The GFS treats these as if they are real synoptic scale features. They can contaminate the model output anywhere along the path of these features as they are carried along in the model's synoptic scale flow.
This can wreak havoc on those initializing forecast fields of surface wind and QPF in IFPS.
When
does it happen ?
It happens most in the warm season.
It can startle you the first time you see it in late winter or early spring,
but by early summer you get used to it.
Where
does it happen ?
This "feature" has been observed
just about EVERYWHERE on the GFS grid. Not only over land (even over
complex terrain), but also over water. It has also been observed
in the southern hemisphere (over South America).
What's
it look like ?
Here is a loop of 6 hour QPF from the
12Z June 15 2003 GFS run:
Focus on Wyoming - note the precip
maxima of 2"+ that occurs between 36 and 42 hours.. and again between 60
and 66 hours.
"Big deal" you say, "Convection can produce WAY more than that in even an hour !" Very true, but for a model that doesn't explicitly model convection (convection is parameterized in the GFS), that's a lot of QPF for the model to be dumping out in a 6 hour time period.
Here is the corresponding loop of 500mb
heights:
Note the vort max that suddenly appears
at fhour 36 in Wyoming which you can actually follow through almost the
rest of the loop. That shouldn't look right to you.
If we look at a loop of the convective
component of the total precip (that is, the portion of the QPF that was
produced by the convective scheme):
we see that the convective component
was less than half of the total. At fhour 36 the convective component
was less than 25% of the total. This means that most of the QPF was
not produced by way of the convective scheme, but produced by the model
on the grid scale. "So what." you say. Well, read on...
Why
does it happen ?
Although the convective parameterization
scheme in the GFS (the Arakawa-Schubert) was triggered and released SOME
of the instability sensed by the GFS, not enough instability was released
to prevent the model to react on a grid scale.
This is because the convective parameterization schemes emulates effects of convective updrafts, which are much smaller than the grid box.
Depending on the amount of instability that is in the grid box, the convective scheme redistributes heat and moisture in a realistic way, but over a SMALLER part of the grid box. Although the effects of the parameterization do impact conditions on the grid scale, if the paramerization does not alleviate enough instability, the model will still sense the instability and start acting on it at 55km scale.
The model therefore acts on the remaining instability in a synoptic scale sense which can result in the GFS dumping all the precip it can as quick as it can over a small area (the grid box).
"What's wrong with that ?" you say.
Conceptually, nothing is wrong with this, because a result of the real atmosphere responding to instability sometimes does result in a large amount of rain occurring over a small area.
However, a tremendous amount of latent heat is produced in the model as the GFS dumps all this precip over a short period of time. Again, this happens in the real atmosphere too. BUT, the GFS is releasing this latent heat at 55 km resolution. The problem here is that when you heat the column of air at this resolution, the model senses it at a synoptic scale resolution (as opposed to the real atmosphere which typically does so at a meso and sub meso scale).
The model will then try to make adjustments at 55 km resolution (synoptic scale). The result is a chain reaction whereby the model will try to converge mass into the region where pressures have lowered under the region where the latent heat was released. This results in enhanced vertical motion over this region and enhanced divergence at the top of the model atmosphere.
When the model can't keep up with the increasing instability (in a feedback situation), the lower level moisture convergence increases. The resulting updraft and convergence/divergence couplet slowly increase in depth and intensity. Voriticy is increased within the grid box (through vortex stretching below the updraft maximum) and the system slowly propagates with the steering flow as it continues to maintain itself.
Just for fun, look at the loop of 250mb
divergence:
Note the bulls eye of divergence in
Wyoming associated with these QPF
maxes (that also appear out of nowhere
and then disappears just as quickly).
The same is true for the 700mb Vertical
Motion:
Although the signal here a little more
subtle, it is still evident.
Although this process does happen in the real atmosphere (leading sometimes to the production of MCCs), the GFS does this on a synoptic scale. Further, once the GFS has "scaled up" such a feature to the synoptic scale, it is very hard to dampen the feature out as quickly as it would do so in the real atmosphere.
Adjacent grid boxes sometimes begin
to have grid-scale convection as well. Once the instability is finally
removed over many hours or even as long as a couple of days, the convective
system created by the grid-scale precipitation scheme can slowly spin down.
The next two loops provide a dramatic example of this process.
Here is a loop of 500mb heights and
vorticity from what was the 12Z AVN run from May 17 1999.
Note the vort max that appears in NW
Kansas at fhour 60. Although not shown, this vort max was progged
by the AVN to continue northeast through IA and into NY producing a swath
of heavy QPF along a stationary front. It didn't verify.
Now here is a cross section through
that vort max.
RH: Green shading
(every 20 %) Potential Temperature:
white (5 deg K) Wind: Blue (kts) Vertical
Motion: red ( - upward) Conv/Div: Yellow
(- conv, + div)
Does the RH signature remind you at
all of anything you've seen in real life ? Kind of looks the profile
of a CB with an anvil doesn't it ! Look at the convergence at the
lower part of the "CB" and the divergence at the top. Notice also
the VV max at mid levels. "Hey.. not too shabby !" you may
say. But consider, this "CB" produced by the model is on the
order of 200 km across ! Not to mention that it didn't verify
either.
The problem with this dramatic a response to instability by the GFS is that before you know it the model has produced a synoptic scale feature which is treated as real.
CONSIDER
HOWEVER, that although this process leads to QPF bombs and spurious vorts
over land, it serves quite well for predicting the development of tropical
systems over water !!!
What's
the remedy ?
We have been hinting that the GFS has
been sensing instability properly, but responding improperly due to resolution.
This premise was tested by EMC's Global Modeling group by rerunning a case
where a QPF bomb was observed in the operational GFS output.
The model was rerun at much finer resolution.
Remember,
the goal is to improve how the GFS reacts to instability without degrading
its performance with regards to development of tropical systems !
12Z May 04 2003 GFS run resulted in
the following QPF forecast:
GFS 24 hour QPF forecast
at ~80km res valid 12Z 05/05/03
Note the QPF bombs in MT,
southern MN and the OH valley (75-100mm/24hr ~ = 3-4"/24hr)
Here is what was observed...
The GFS did pick up on the GENERAL areas that would see heavy precip, but was obviously lacking in detail.
Here is the GFS rerun at 15 km and 4
km resolution that day (it's actually the GFS run on a domain covering
North America making it a Regional Spectral Model - or RSM)...
Note how the bombs are in MT and MN
were reduced or rather better resolved. But notice something
else ? The hi-res reruns don't produce enough areal coverage of .75-1.5"
QPF (20-40 mm) amounts as compared to the observation.
Here is another rerun...
The 12Z GFS May 13, 2003 run resulted
in the 24 hour QPF you see on the left (valid at 36 hours). Note
the QPF bomb in IA. On the right is the observed 24hr precip via
Stage IV valid at the same time.

Below is the 15 km RSM rerun.
Yes, yes... you are correct.. the placement
of the "streaks" in OK, MO, and LA aren't that great. But did you
see the forecast up in the Dakotas and even IA and NE compared to the obs
??? That's a pretty darned good forecast... and light years better
than the bomb forecast at 80 km resolution.
How do the reruns handle the vort maxima
? Below are plots of absolute vorticity. On the left you have
the result from the operational GFS, and on the right the rerun at 15 km
resolution (the RSM). The scale here is actually 10x greater than
what is typically plotted on 500mb charts. So the "2" you see over
eastern SD actually is a 20 unit vort max. That QPF bomb help
generate a 20 unit vort max whereas the RSM produced a very small scale
20-30 unit vort max (which would not run the risk of being scaled up
into the synoptic scale by the model).
These reruns have led EMC to some preliminary conclusions:
Does
this happen in the Eta ?
Actually, the Eta responds in the same
fashion as the GFS, but since its resolution is 12 km, the problem
doesn't manifest itself as dramatically.
How
to still use the "contaminated" model output
Obviously you want to first look at
another model for a second opinion.
Nonetheless, if you see one of these in the GFS over your area, you can still extract some useful information from the model. Since the GFS senses instability properly, the model does well at hinting when the atmosphere is prime for producing an MCS like system "in the area" that the model has depicted.
Just like in the real atmosphere where an MCS can inhibit transport of moisture on the lee side of these features, so to does the GFS QPF bomb.
On the left is a 24 hour QPF valid on
Day 5 from a 00Z MRF run. You can see the QPF Bomb in the central
plains. On the right is the same forecast but from the following
12Z AVN run. This run did not produce a bomb.
Note the difference in QPF amounts
generated in eastern ND and northwest MN between the two panels.
The 12Z AVN run on the right is able to transport more moisture north as
opposed to the run with the QPF Bomb.
Don't believe it ?? I didn't either
when I first saw it.
But here is another example... 00Z
MRF on the left, 12Z AVN on the right.
Note the difference in QPF generated
over the Great Lakes when the QPF bomb is NOT produced.
Acknowledgments
and References
Thanks to Dr. Hua Lu Pan and Dr. Pete
Caplan (head of the Global Modeling Group EMC) for reviewing the output
of the RSM runs with me. And thanks to Dr. Bill Bua (COMET Scientist
and NWP expert at EMC) for providing appropriate NWP PDS COMET web modules:
How Models Produce Precipitation and Clouds (see the CONV PARM link on the left)
Grid-scale Precipitation Bombs in the Global Forecasting System
(posted to the web 06/20/03)