deletions | additions       diff --git a/The_fact_that_larger_faster__.tex b/The_fact_that_larger_faster__.tex  index 5ef10a6..9d0e288 100644  --- a/The_fact_that_larger_faster__.tex  +++ b/The_fact_that_larger_faster__.tex 
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The fact that larger, faster dust devils cover more area means that they are more likely to be recovered. We can quantify the recovery probability $f$ by taking the ratio of track areas for a given dust devil to the largest area for a dust devil, $A_{\rm max}$:  \begin{equation}  \label{eqn:recovery_bias}  f = \dfrac{A(\Gamma_{\rm act}, P_{\rm act})}{A_{\rm max}} = A_{\rm max}^{-1}\ \Gamma_{\rm act} \sqrt{\dfrac{P_{\rm act} - P_{\rm min}}{P_{\rm min}}} th}}{P_{\rm th}}}  \upsilon\ \tau. L.  \end{equation}  The devil with the deepest profile need not also have the widest profile or the largest velocity. \citet{Renn__2001} argue that the diameter of a vortex is set, in part, by the local vorticity field, while \citet{Balme_2012}, from their field studies, find no correlation between diameter and velocity from their field work. However, in quantifying the recovery probability $f(\Gamma_{\rm act}, P_{\rm act})$, it is only important that we apply a uniform normalizing factor to the whole population, and the denominator in Equation \ref{eqn:recovery_bias} just provides a convenient expression for that. Any other uniform normalization (e.g., using average parameters) would suffice.