Now let's assume that we do get an ice-free Arctic at some point (unspecified, but not too far away). Are we all agreed that this means that Arctic summer temperatures will rise dramatically above zero, to an extent depending on the length of time the ice is gone for?
Some extra warmth will be accumulated by mid September. However during fall this will get vented to the atmosphere. (less ice less insulation)
i.e.A low winter maxima and early melt is the most effective way to heat up the Arctic ocean.
A late melting don't cut it.
I posted the comment chain because I believe this discussion is the crux of the matter. I agree with everything said, but I think that based on what you all agreed the conclusion is that after the first BOE there is a significant change. Here is why I think that:
Let's define the first Blue Ocean Event (BOE) as the moment in time there is 0 ice in the Arctic Ocean. Let's take the average September minimum volume as the day of the first BOE. Let's suppose that ice growth begins on the same day of the BOE. Lets assume the same conditions of the last 11 years.
If starting from 0, the ice grows the same way it grew for the last 11 years, then we can expect an average maximum of 17.69 x 1000km3. The average losses during the same time are of 18.09 x 1000km3. The data points to no recovery after a BOE.
Of course things are not so simple. I'm going to check my assumptions.
Let's suppose that ice growth begins on the same day of the BOE.
That's a very bad assumption because:
Some extra warmth will be accumulated by mid September. However during fall this will get vented to the atmosphere. (less ice less insulation)
If that heat is vented to the atmosphere, the atmosphere warms delaying ice formation in an amount roughly proportional to the heat accumulated during the year and transferred into the atmosphere. The earlier the BOE happens the more heat is accumulated. Pushing the start of ice formation back, likely resulting in a lower maximum.
But it is not just the warmth accumulated in the Arctic Ocean what delays the date. If the current behavior of the atmospheric currents worsen, then warm air intrusions from the NH will likely further delay things.
Then there are waves. Ice will not form while there are large waves. I'm not sure of any mechanism to control waves other than the ice front. As the ice front grows the waves are pushed back allowing for more ice growth. Maybe ridiculous amounts of snow might do it.
I think it is the very least the beginning of ice formation will be delayed.
Lets assume the same conditions of the last 11 years.
That is also a bad assumption because there will be negative albedo changes, wavier jets streams coupling with humidity changes in the atmosphere above the Arctic Ocean, and changes in the currents of the Atlantic ocean. The conditions will probably be more different than the difference of the last 11 years from the time before.
If starting from 0, the ice grows the same way it grew for the last 11 years, then we can expect an average maximum of 17.69 x 1000km3.
Horrible assumption. In the Arctic ice begets ice. That means that when it starts growing the area of ice growth will be extremely small and requires exponential growth to match the speed at which the ice grew for the last 11 years. There is no physical problem with that except that it requires a cold atmosphere and a cold ocean. From what we have seen in the last three freezing season there is not enough endogenous cold in the arctic to maintain the cold temperatures needed to generate large amounts of ice even now. After a several BOEs it will be much worse.
The average losses during the same time are of 18.09 x 1000km3.
A stupid assumption because there can't be less than 0 ice! You can't lose ice that is not there in the first place. Therefore negative ice must be converted to heat that is added to the system.
A late melting don't cut it.
Not the first time around, but after the first BOE, the next time around there will be a lot less ice, which will melt much sooner, pushing the date of the BOE earlier and earlier.
The only way to stop it and reverse it is to remove heat from the system.