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\section*{Comparison to Observational Data}  A detailed and robust analysis of real observational datasets will be the subject of future work, but in this section, we apply our statistical formulation in a qualitative way to results from previous single-barometer surveys.   \citet{Ellehoj_2010} analyzed 151 sols worth of time-series data, including pressures, temperatures, wind speeds, and images, from instruments on-board the Phoenix Lander \citep{Smith_2008}. To identify dust devil passages in the barometric data, they compared considered  the average  pressure averaged over in  a 20-s window to the average pressure in 20-s windows to either side. side of the former window.  Average pressures in the middle window different by more than 0.1 Pa from the average on either side were identified as possible dust devil passages. Then for every pressure event found, they analyzed the surrounding pressure and temperature values, and non-significant and false events, e.g., from data transfer gaps, were removed by hand (although the precise criteria used in deciding to exclude an event are not given). In this way, \citet{Ellehoj_2010} identified 197 vortices with a pressure drops larger than 0.5 Pa. Figure \ref{fig:Ellehoj_data} shows a scatter plot of their reported detections, along with colored contours and histograms. As with most single-barometer surveys, wind velocities were not recorded for the dust devil encounters, so \citet{Ellehoj_2010} reported the observed pressure profile full-width/half-maxes in time $\Gamma_{\rm obs}^\prime$. As above, we assume all observed devils were advected past the barometer  at the same velocity so we can convert directly between profile durations and widths, but velocities recorded for a handful of devil encounters range from 1.4 to 9.3 m/s \citep{Ellehoj_2010}. We return to this point in Section \ref{sec:}.