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The NSF (Office of Polar Programs
and Statistics and Probability Program) has awarded Ken Jezek (Byrd Polar Research Center) and Mark Berliner and Noel Cressie (Department of Statistics and SSES Program) a four-year
grant (12/2002 - 11/2006) titled "Dynamics of Ice Streams: A Physical
Statistical Approach". Noel Cressie is PI.
Ice streams are believed to play a major role in determining the
response of their parent ice sheet to climate change, and in determining
global sea level by serving as regulators on the fresh water stored in
the ice sheets. Ice streams are characterized by rapid, laterally
confined flow, which makes them uniquely identifiable within the body of
the more slowly and more homogeneously flowing ice sheet. But while
these characteristics enable the identification of ice streams, the
processes that control ice-stream motion and evolution and differences
among ice streams in the polar regions are only partially understood.
Understanding the relative importance of lateral and basal drags, as
well as the role of gradients in longitudinal stress, is essential for
developing models for future evolution of the polar ice sheets. In this
project, physical statistical models are used to explore the
processes that control ice-stream flow, and to compare these processes
between seemingly different ice-stream systems. Geophysical models lie at the
core of the approach, but are embellished by modeling various components
of variability statistically. One important component comes from the
uncertainty in observations on basal elevation, surface elevation, and
surface velocity. In this project, new observational data collected using
remote-sensing techniques are used. The various components, some of
which are spatial, are combined hierarchically using Bayesian
statistical methodology, yielding the posterior distribution for stress
fields and velocity fields, conditional on the data. Inference based on
this distribution is carried out using Markov chain Monte Carlo
techniques, to obtain estimates of these unknown fields along with
uncertainty measures associated with them.
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