With 25km grids, there's a lot of room for the ice to melt/shatter before grids fall below 15%. 3.125 km grids are way better.
This is analogous to the fractal dimension of coastlines.
Unless my intuition fails me, there is a signal to be extracted from the extent difference as calculated on different grids. Has this been discussed on ASIF?
Generalized, we can consider measured extent as a function of grid size, and deltas or higher order measures on the shape of that curve for a given day.
These measures would probe the (putative?) power law underlying the size distribution of areas of open water. Mapped visualizations of some coefficient pulled from this process could complement thickness and concentration maps, and areal averages could complement compactness measures.
Of course NSIDC and JAXA/ADS-NIPR differ by more than grid size. This technique should probably be applied to carefully resampled versions of the higher resolution dataset. Carefully because aliasing and related effects distort self-similarity through induced false or frequency-shifted periodicity.
This (and any use of high-resolution sea ice products) has to be tempered with the reality that the raw observables produced by the satellites don't have the resolution to support a 3.125km grid. For example, the AMSR-2 19GHz channel has 3dB footprint of 22x14km. 3dB means a 50% falloff, so high-contrast areas like ice/water boundaries will bleed into each other significantly at that pixel size. Guessing, I'd say stricter bounds like 6dB or 10dB as often used to define resolving power would result in a footprint larger than 30x20. The highest resolution channel is spec'd at 5x3km for 3dB.
All of that means that a 3.125km grid is sampling some output of an interpolation and deconvolution process which is non-unique; which is to say it is a synthetic process and resolution dependence measures could accidentally probe characteristics of the signal processing rather than the ice.
Alright, I figure that's my offtopic allowance for several days. Hopefully someone has looked at this already and has a graph ready for us to bring us back to 2016 melting season?