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Atan merit function for tau1=45 and tau2 values of 1 (red), 5 (black) and 10 (blue) days. Same basic thing happens for FWHM and depth, where merit increases
And here is a plot of exponential weight evolution for taus of 5 (red), 10 (black) and 30 (blue) days.
Here is an example of FWHM-based merit, driving a field higher if seeing is really excellent. This is for FWHM_1= 0.5 and FWHM_2=0.1.
This FOM is computed per field, per passband, for each potential observation. We can also introduce a couple of penalties:
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