deletions | additions       diff --git a/observations.tex b/observations.tex  index 827688f..ab61bcb 100644  --- a/observations.tex  +++ b/observations.tex 
...
\epsilon = \frac{{u}_{\ast}{d}_{bp}}{{a}_{w} c},  \end{equation} where ${u}_{\ast}$ is wind speed (wind stress), ${d}_{bp}$ is bubble plume depth, ${a}_{w}$ is wave amplitude, and $c$ is wave phase speed. This mathematical relation shows that high wind speed and a deep bubble plume relative to reduced wave amplitude (high wave frequency) and low wave phase speed results in a large wave energy dissipation magnitude. \par   A specific method of estimating the bubble plume depth can be realized by calculating the total air fraction on the vertical. In order to perform this, all bubble sizes, for a given volume, must be integrated. \par  Another interesting and, we think, relevant approach in quantifying whitecap coverage variability is by looking at bubble plumes advections. We want to see if we can grasp differences in the general pattern of bubble plumes advections due to a certain turbulent phenomenon called Stokes drift velocity. This Stokes flow is a turbulent factor within Langmuir circulation and it stands out in the form of horizontal vorticity advection, which is differential, meaning that it changes with depth (in this case, it has a lower magnitude with depth). The Langmuir circulation is the manifestation of relatively shallow turbulence in the upper ocean, and it consists in counter-rotating vortices within a shallow water layer.  If the differential vorticity advection due to Stokes flow adds up to general flow pattern of bubble plumes advection, then there is a net shift in the position of bubble plumes relative to the position of whitecaps. Our intention is to observe a sensitivity in whitecap fractions variability due to this shift. This will allow us to find, through the anticorrelation between whitecaps and bubble plumes due to Stokes drift, a direct source of whitecap coverage variability.