deletions | additions       diff --git a/subsection_Converting_Between_the_Observed__.tex b/subsection_Converting_Between_the_Observed__.tex  index 6323622..1378016 100644  --- a/subsection_Converting_Between_the_Observed__.tex  +++ b/subsection_Converting_Between_the_Observed__.tex 
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\label{eqn:convert_from_actual_to_observed_density}  \rho(\Gamma_{\rm obs}, P_{\rm obs}) = \int_{b = 0}^{\left( \Gamma_{\rm obs}/2 \right) \sqrt{\left( P_{\rm obs} - P_{\rm min} \right)/P_{\rm min}}} f\ \rho(\Gamma_{\rm act}(b), P_{\rm act}(b))\ \dfrac{2b\ db}{b_{\rm max}^2}.  \end{equation}  Figure \ref{fig:uniform_actual_distribution_to_observed_distribution} shows the result for a uniform distribution for underlying values, $\rho(\Gamma_{\rm act}, P_{\rm act}) = \left( P_{\rm max} - P_{\rm min} \right)^{-1}\ \left( \Gamma_{\rm max} - \Gamma_{\rm min} \right)^{-1}$ and compares it to a simulated dust devil survey (blue circles).Figure \ref{fig:uniform_actual_distribution_to_observed_distribution} indicates a tendency to observed  Figure \ref{fig:uniform_actual_distribution_to_observed_distribution} clearly contradicts results from real dust devil surveys, such as \cite{Jackson_2015} who found many fewer dust devils with larger $P_{\rm obs}$-values than those with smaller values. The obvious conclusion is that the underlying distribution of detected dust devils is not uniform in $P_{\rm obs}$.