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\section*{Background}
Dust devils are small-scale (few to many tens of meters) low-pressure vortices rendered visible by lofted dust. They usually occur in arid climates on the Earth and ubiquitously on Mars, where they may dominate the supply of atmospheric dust and influence climate. Martian dust devils have been studied with orbiting and landed spacecraft and were first identified on Mars using images from the Viking Orbiter \citep{Thomas_1985}.
A long series of subsequent dust devil studies have followed, either through direct imaging or by identification of their tracks on Mars' dusty surface \citep[cf.][]{Balme_2006}. Meteorological sensors have also provided evidence for Martian dust devils passing near landed craft, either via obscuration of the Sun by On the
Earth, dust
column \citep{Zorzano_2013} or their pressure signals \citep{Ellehoj_2010}. devils may help degrade air quality in arid climates \citep{Gillette_1990} and may pose an aviation hazard
Studies The dust-lifting capacity of
terrestrial dust devils
frequently involve in-person monitoring seems to depend sensitively on their structures, in particular on the pressure wells at their centers \citep{Neakrase_2006}, so the dust supply from dust devils on both planets may be dominated by the seldom observed larger devils. Thus, it is particularly important to study the underlying distribution of
field sites, dust devil properties. Thus, elucidating the origin, evolution, and
population statistics of dust devils
are visually surveyed \citep{Pathare_2010} or directly sampled \citep{Balme_2003}. As noted in \citet{Lorenz_2009}, in-person visual surveys are likely to be biased toward detection is critical for understanding important terrestrial and Martian atmospheric properties and for in-situ exploration of
larger, more easily seen devils. Such surveys would Mars -- dust devils might pose a hazard for human exploration \citep{Balme_2006} but have also
fail to recover dustless vortices \citep{Lorenz_2015}. apparently lengthened the operational lifetime of Martian rovers (http://mars.jpl.nasa.gov/mer/mission/status_opportunityAll.html#sol3603).
Recently, terrestrial surveys similar to Martian dust devil surveys have been conducted using in-situ single barometers \citep{Lorenz_2012, Lorenz_2014, Jackson_2015} and photovoltaic sensors \citep{Lorenz_2015}. These sensor-based terrestrial surveys have the advantage of being directly analogous to Martian surveys and are highly cost-effective compared to the in-person surveys.
In these single-barometer surveys, a sensor is deployed in-situ record a pressure time A long series
at a sampling rate $\lesssim 1$ s. As a low-pressure convective vortex, the nearby passage of
a subsequent dust devil
will register as pressure dip discernible against a background ambient (but not necessarily constant) pressure. Figure \ref{fig:conditioning_detection_b_inset} from \citet{Jackson_2015} shows a time-series with a typical dust devil signal. However, as with visual surveys, single-sensor barometer surveys suffer from biases as well, primarily from the ``miss distance'' effect: a fixed barometric sensor is more likely to studies have followed, either through direct imaging or by identification of their tracks on Mars' dusty surface \citep[cf.][]{Balme_2006}. Meteorological sensors have
a more distant than closer encounter with a also provided evidence for Martian dust
devil. Since the pressure perturbation associated with a devil falls off with distance, the deepest point in the observed pressure profile will almost always be less than the actual pressure well at the devil's center. The observed shape devils passing near landed craft, either via obscuration of the
profile will be distorted as well. These biases are intrinsic to the detection methods, and additional biases can influence the inferred statistical properties. For instance, noise in Sun by the
pressure time series from a barometer may make more difficult detection of a dust
devils with smaller column \citep{Zorzano_2013} or their pressure
perturbations, depending on the exact detection scheme. signals \citep{Ellehoj_2010}.
The dust-lifting capacity Studies of
terrestrial dust devils
seems to depend sensitively on their structures, in particular on the pressure wells at their centers \citep{Neakrase_2006}, so the dust supply from frequently involve in-person monitoring of field sites, and dust devils
on both planets may are visually surveyed \citep{Pathare_2010} or directly sampled \citep{Balme_2003}. As noted in \citet{Lorenz_2009}, in-person visual surveys are likely to be
dominated by the seldom observed larger biased toward detection of larger, more easily seen devils.
Thus, it is particularly important Such surveys would also fail to
study the underlying distribution of recover dustless vortices \citep{Lorenz_2015}. Recently, terrestrial surveys similar to Martian dust devil
properties. Thus, elucidating the origin, evolution, surveys have been conducted using in-situ single barometers \citep{Lorenz_2012, Lorenz_2014, Jackson_2015} and
population statistics of dust devils is critical for understanding important photovoltaic sensors \citep{Lorenz_2015}. These sensor-based terrestrial
and Martian atmospheric properties and for in-situ exploration of Mars -- dust devils might pose a hazard for human exploration but surveys have
also apparently lengthened the
operational lifetime advantage of
being directly analogous to Martian surveys and are highly cost-effective compared to the
Spirit rover. in-person surveys.
On both Mars and In this kind of single-barometer survey, a sensor is deployed in-situ record a pressure time series at a sampling rate $\lesssim 1$ s. As a low-pressure convective vortex, the
Earth, nearby passage of a dust
devils contribute to the atmospheric aerosol content, sometimes increasing the devil will register as pressure dip discernible against a background ambient (but not necessarily constant) pressure. Figure \ref{fig:conditioning_detection_b_inset} from \citet{Jackson_2015} shows a time-series with a typical dust
content over devil signal. However, as with visual surveys, single-sensor barometer surveys suffer from biases as well, primarily from the
U.S. Southwest by ``miss distance'' effect: a fixed barometric sensor is more
likely to have a more distant than
an order of magnitude, they primary source for atmospheric dust, which plays closer encounter with a
role in the radiative balance of the Martian atmosphere and, therefore, on dust devil. Since the
planet's meteorology [Basu et al., 2004]. Dust devils also seem to have lengthened pressure perturbation associated with a devil falls off with distance, the
operating lifetime of Martian rovers by frequently cleaning their solar panels (http://mars.jpl.nasa.gov/mer/mission/status_opportunityAll.html#sol3603). Since deepest point in the
dust supply from dust devils on both planets may observed pressure profile will almost always be
dominated by less than the
seldom observed larger devils, it is particularly important to study actual pressure well at the
underlying distribution devil's center. The observed shape of
dust devils, rather than focusing on the
typical devil. Thus, elucidating profile will be distorted as well. These biases are intrinsic to the
origin, evolution, and population statistics of dust devils is critical for understanding important terrestrial and Martian atmospheric properties detection methods, and
for additional biases can influence the inferred statistical properties. For instance, noise in
situ exploration of Mars.
%While the pressure
dips associated with dust devils have been recorded on Earth [e.g., Wyett, 1954; Lambeth, 1966; Sinclair, 1973], they are actually time series from a barometer may make more
systematically documented in studies difficult detection of
a dust devils
with smaller pressure perturbations, depending on
Mars (e.g., by Mars Pathfinder: Murphy and Nelli, 2002; and by the
Phoenix mission: Ellehoj et al., 2010), where landers have recorded meteorological parameters over long periods with a high enough cadence to detect small vortical structures. Most terrestrial meteorological records have cadence too low (canonically, 15 min) to record dust devils, for which a sampling rate of ∼1 Hz or better is typically required. exact detection scheme.
The plan of this paper is as follow: In Section \ref{sec:miss_distance_effect}, we discuss the influence of the miss distance effect on the observed parameters for dust devil profiles and on their distributions. In
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