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Precipitation Predictability for Climate Studies
he inherently
chaotic behavior of the atmosphere makes it very difficult to accurately predict
atmospheric variables at all space-time scales. Despite a decade of considerable
progress in atmospheric modeling, prediction of the onset, duration, location, and
spatial variability of precipitation remains a challenge. Adding to the problem is
the fact that regional climate models and global circulation models are run over
large domains and provide information only on large grid scales. This makes it difficult
to interpret the impact of climate change or climate variability on water resources
management, which requires information at much smaller scales.
University of Minnesota Professor Efi Foufoula-Georgiou and her co-workers, Ph.D.
students Alin Carsteanu and V. Venugopal, former Ph.D. student Sanja Perica (now
of the Office of Hydrology at the National Weather Service in Maryland), and Shuxia
Zhang of Ohio State University, are working to adapt large grid scale atmospheric
models for application to smaller-scale hydrologic problems. The group has developed
a spatial rainfall downscaling scheme that can be used to disaggregate the results
of regional or global models down to watershed scales for hydrologic applications.
Their innovative dynamical/statistical hybrid approach is based on having unraveled
a link between larger-scale dynamics of the atmosphere and smaller-scale statistics
of rainfall fields. Specifically, the group found that normalized rainfall gradients
(obtained via wavelet transform of rainfall intensities) exhibit self-similarity
over a significant range of scales. This means that variability at one scale relates
to variability at another via a simple transformation that is a function of the ratio
of the two scales. They also discovered that the scale-invariant parameter of this
transformation is strongly related to the convective instability of the pre-storm
environment (measured by the convective available potential energy, or CAPE). These
findings were confirmed by analysis of a large number of radar-monitored warm-season
storms, called mesoscale convective complexes, in the Midwest. Based on these findings,
a precipitation downscaling scheme was developed using an inverse wavelet transform
procedure. Figure 1 shows the results of applying the developed scheme to downscale
rainfall from 64 x 64 km2 to 4 x 4 km2 grid averages. The figure
shows that the disaggregated (simulated) field compares well to the actual field.
The only input to the model was the large-scale (64 x 64 km2) rainfall
averages and the value of CAPE at the pre-storm environment.
Accurate representation of the small-scale precipitation variability obviously will
improve the prediction of other hydrologic variables, such as surface runoff peak
and volume, which are used for water resources design, management, and operation.
The question arises, however, as to whether there is a double advantage in trying
to capture the small-scale precipitation variability in large-scale atmospheric models.
Indeed, the group's results indicate that the inclusion of subgrid-scale rainfall
variability and consideration of the small-scale land-atmosphere feedback effects
can significantly affect surface temperature predictions-and even the short-term
prediction of rainfall intensity itself (see figure 2). This is because redistribution
of the large-scale rainfall average within the grid box (i.e., using the bottom right
field of figure 1 instead of the top field) causes redistribution of soil moisture
and alters the small and large scale land-atmosphere system dynamics. These findings
point to the importance of understanding subgrid scale convection processes and cloud
microphysics, as well as the significance of including subgrid scale precipitation
parameterizations interactively, even in large-scale climate prediction models.
Figure 1: A June 27,
1985 storm over Kansas and Oklahoma at 0300 UTC. The bottom figure in the left column
shows the original radar data at 4 x 4 km2 resolution. From these data,
rainfall fields at lower and lower resolutions were obtained by averaging up to 64
x 64 km2 fields, as shown in the top panel (upscaling). Then, using the
64 x 64 km2
field and the downscaling scheme of Perica and Foufoula-Georgiou, rainfall fields
at higher resolutions were reconstructed down to the resolution of 4 x 4 km2,
as shown in the bottom right panel. A good agreement was found between the rain patterns
and the areas covered by rain in the simulated and original fields at all resolutions. |

Figure 2: Changes in ground temperature in ºC (color variation) and rainfall
intensity in mm/h (black and white curves) caused by adding the feedback effect of
subgrid-scale rainfall variability to the simulation of an extreme Midwestern storm
on June 11, 1985 over Oklahoma. The Penn State/National Center for Atmospheric Research
mesoscale modeling system with two nested domains of 36 km and 12 km, respectively,
was used for this simulation. The comparison (differences in values between the run
without and with subgrid scale parameterizations) is shown for a domain of 12 km
resolution. The black and white curves indicate the increase and decrease of rainfall
intensity with peak values of 55.2 mm/h and 66.6 mm/h, respectively. |
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