deletions | additions       diff --git a/In_the_next_section_we__.tex b/In_the_next_section_we__.tex  index cc6ac8f..479f593 100644  --- a/In_the_next_section_we__.tex  +++ b/In_the_next_section_we__.tex 
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\nonumber \rho(\Gamma_{\rm act}, P_{\rm act}) \approx k^\prime \Gamma_{\rm act}^{-8/3} P_{\rm act}^{-5/2}.  \end{equation*}  Using a direct numerical simulation of a dust devil barometric survey, \cite{Lorenz_2014} found that an observed distribution $\rho(P_{\rm obs}) \propto P_{\rm obs}^{-2}$ required an actual distribution approximately $\rho(P_{\rm act}) \propto P_{\rm act}^{-2.8}$, in line with our results here. Our results show that, for observed distributions following power-laws with a negative indices, a slightly steeper slope is required for the distribution of actual profile depths and considerably steeper for the distribution of widths. Not surprisingly, Equation \ref{eqn:convert_from_actual_to_observed_density} shows that barometric surveys for dust devils will necessarily couple the observed distributions of pressure profiles and widths.