  Analyzing the effects of ocean eddies is important in oceanology for gaining
insights into transport of energy and biogeochemical particles. We present an
application of statistical visualization algorithms for the analysis of the Red
Sea eddy simulation ensemble. Specifically, we demonstrate the applications of
statistical volume rendering and statistical Morse complex summary maps to a
velocity magnitude field for studying the eddy positions in the flow dataset.
In statistical volume rendering, we model per-voxel data uncertainty using
noise models, such as parametric and nonparametric, and study the propagation
of uncertainty into the volume rendering pipeline. In the statistical Morse
complex summary maps, we derive histograms charactering uncertainty of gradient
flow destinations to understand Morse complex topological variations across the
ensemble. We demonstrate the utility of our statistical visualizations for an
effective analysis of the potential eddy positions and their spatial
uncertainty.
