I shoot with a Nikon system (D800) and a Panasonic system (GX7.) The Nikon hasn't been doing much lately, and I've been thinking of giving it to my sister who mostly shoots out of her home, and from a car, where weight isn't a problem.
A couple of things that I don't think have been mentioned in this thread:
If you go back and look at some of Michael's "after-action" reports from earlier Antarctica trips, you'll see that quite a few people suffered equipment problems. That means you should probably take backups for your critical equipment, which would be bodies and one or two lenses. With the Nikon, that's going to add a lot of weight. (If I were going with my Nikon gear, I'd probably take my set of f2.8 zooms, all three of them, and then some length-duplicating prime lenses.) The same is true of APS-C cameras, where you can get small bodies, but are still stuck with the large lenses. If you decided to go m4/3, two new weatherized Panasonic 20.3mp GX8s would cost you $2400 at B&H, less than one Nikon backup body.
But the big difference in weight and space will be with the lenses -- Panasonic offers a 100-300 (equivalent to 200-600mm on a 35mm) that is a bit less than 5 inches long...I have found that I can put a wide array of m4/3 equipment, including two bodies, several lenses, many extra batteries and chargers, in one of the smaller Think Tank backpacks that will easily fit in almost any overhead or under almost any airline seat...You should also note that m4/3 has an extensive line of lenses, including some odd ones, like the Voightlander f0.95 entries in 25 and 42.5mm lengths (equiv. to 50 and 85mm.) Those might not be Antarctica lenses, but it's nice to have such things.
I know I'm sounding like an m4/3 fanboy, and I guess I am -- I think it's a great system. I'd further note that Michael, in his review of superzooms, said that he considered the 1" sensor size to be the minimum for printing for art purposes. He has high standards -- and the m4/3 sensor size has almost twice the real estate as the 1".
You'd have to ask an Antarctica veteran about this, but will you mostly be shooting while wearing gloves? If so, that could be a problem with smaller cameras.