Tandem Heating/Cooling

In a distant future, a global economy could benefit by using a pair of statites ("orbiting" structures which don't move w/ respect to the earth because they are balanced by counteracting gravitational forces). Right now, there's a lot of high-latitude northern land which is underused because it's so freaking cold, while corresponding areas in the southern hemisphere are all water, and so can't get used much by humans no matter what temperature they're at. So here's my plan...

One statite far up above the north pole would reflect a significant amount of sunlight down to patches of land between, say, 50-80 degrees north latitude. One variant would be to do this only during the winter month changing the statite's position at other times when the extra sunlight is less needed. The net effect will be to warm the climate of Northern Europe, Russia/Siberia, and Canada, enough to dramatically increase agricultural production, and make these areas more usable year-round with less heating fuel. Human populations of Siberia and Canada would boom.

This would increase global warming; we'll counteract this with another statite which permanently blocks much of the solar radiation would would otherwise strike the earth south of 50 degrees south latitude. This will just graze Patagonia--essentially uninhabited anyway, as well as miss Africa and New Zealand. Antarctica will grow colder and have a wider permanent ice cap, absorbing the extra water released when the Greenland cap and other northern glaciers melt. Rather than simply block or reflect the solar energy, the southern statite could of course also collect some of it with photovoltaics and beam it to earth as electricity.

Of course it would dramatically change the flora and fauna of the affected areas, but with tremendous economic advantages for humans. Perhaps we can relocate some polar bears to Patagonia?