If you can make the coverings and insulation out of synthetic material that won't rot or mold, then I'd say it can work in most weather. The roof is very angled so snow won't build up enough to destroy something. Circular buildings do well in the wind because it flows around them, but you'd need to get creative about securing the outside covering in really high wind.

I recommend vinyl exterior covering and ecofoil insulation. Cheap, light and resilient!