There are a couple of good alternate explanations for the June cliff:
(1) Melt onset requires some threshold amount of insolation [...] in late May and in June, the North pole is actually the point of maximum insolation under clear skies - so the high insolation sort of hits the whole Arctic "all at once".
(2) In order to have a lot of melt ponds form to create a "cliff", the ice surface must be able to support melt water without allowing it to percolate through, simply flow downhill and off the floe's edge, or otherwise get off the surface. Because areas outside the Arctic Ocean proper tend to consist of highly-broken-up ice cover without a good level surface, melt ponds have more difficulty actually forming and staying on the surface, so coverage is limited. By contrast in the Arctic Ocean proper, there tends to be a lot more flat-surfaced ice which is ideal for melt pond formation and retention.
Melt ponds, being heat traps that cause thinning of the ice in-situ: in the very simplified picture I described, the more melt ponds, the faster the melt front travels. So there is one answer to my question: June cliff is
not mostly caused by geography, though this may help. About the draining of the melt ponds, I thought (or heard) all melt pond heat was not lost if cyclically drain out since that means transport of warmer water to underneath the ice.
http://dosbat.blogspot.co.uk/2014/08/june-sea-ice-area-and-melt-ponding.html
Changes in the June cliff is examined in that post. I find that
Melt ponds are not the main factor. The marginal zone behind the ice edge plays the largest role.
Loss of ice in other regions e.g. Hudson Bay, plays a non negligible role.
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Anyway Michael, you hunch is right, the lengthening of the ice edge is a big player.
Your blog post is a thorough analysis. I see that the reasons for accelerated melt in June were different depending on what year. I completely forgot about Hudson Bay. And some seas out of Arctic may still be melting during June. Also it appears the "cliff" properly refers to area loss and not extent loss.
My comment is just a very simplified view. The amount of ice behind the ice edge (what I am calling melt front) is directly proportional to the length of the edge. So yes, my hunch is, I think once the melt front is established within the perimeter of the Arctic Ocean, that may help to speed things up. Insolation leading to warmer waters right behind the melt front, poor integrity of the ice, and melt ponds among other factors will be the catalysers, and clearly dictate the speed of propagation.
My name is not Michael

Anyway, thank you John
It is also possible that the geographic boundaries currently restrict the decline in the winter maximum. The winter maximum is currently only extendable across Bering, Okhotsk, Newfoundland and the North Atlantic. Each of these boundaries is currently getting shorter as the winter extent boundary moves north. So the tipping point for rapid maximum extent declines will not occur until the boundary moves through the Bering Strait and freezing along the Arctic coastlines is no longer 100%. One that happens we can expect rapid winter extent declines.
I expressed something similar in your thread (plateau hypothesis), warmer global temperature may cause a winter ice edge that lies at higher latitude, may lead to lower maximum values in February-March, but then that edge takes a lot more time to really advance.
This also is a very simplified argument, but simple ideas can help us understand some things, I guezz