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Brian Jackson edited section_Biases_in_Single_Barometer__.tex
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\section*{Biases in Single Barometer Surveys}
In this kind of survey, one or more barometric sensors deployed in-situ record a pressure time series at a sampling rate $\lesssim 1$ s. As low-pressure convective vortex, a dust devil has a pressure depth $\Delta P$ at its center and a radial profile $P(r)$ resembling a Lorentz function with width $\Gamma$: $P(r) = -\dfrac{\Delta P}{1 - \left( r/\Gamma \right)^2}$. Dust devils are usually carried by the background wind, with a velocity $\upsilon$, and so a dust devil passing near the barometer registers as a distinctive dip in pressure, with a profile width in time $\Gamma^\prime = \Gamma/\upsilon$. Figure \ref{fig:conditioning_detection_b_inset} from \citet{Jackson_2015} shows a typical profile. However, the center of the devil is very unlikely to pass directly over the sensor, and so the observed pressure minimum $\Delta P_{\rm obs}$- and width $\Gamma_{\rm obs}$-values will probably differ from the dust devil's intrinsic values. As a consequence, the population of dust devil signals recovered from a single barometer survey likely differs significantly from the underlying population.