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Different stuff again though isn't it. This is using cold (be it water or air) to induce shivering whereas we're talking about people already exercising hard but happen to be in water. Since they're already exercising, are their bodies still having to burn 'more' calories to make up for the heat lost to water? I don't think so but have nothing to back this guess up, just the fact we produce loads of heat while exercising.
It seems obvious to me that if you're sedentary but forced to shiver due to cold you'll burn some amount more calories than if you were comfortable. How much more, maybe Chen will publish.
Increased BAT is why I walk around in winter in a shirt :)
https://www.sciencedaily.com/releases/2014/02/140204123619.htm
https://www.wired.com/2013/02/ff-cold-weight-loss/
Not the most scientific of articles but an interesting read nonetheless.
It makes sense that your body would need to work harder to maintain your core temperature if your body heat is being stripped at a faster rate. Increased heart rate, shivering, etc.
I feel this would have no practicalapplication to me at present though, too well insulated from the elements with winter fat....