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To borrow a phrase, one temperature reading is weather, a million is climate. While it seems difficult to attribute any given extreme or uncharacteristic weather event to climate change, the fact that average temperature is increasing means a larger average kinetic energy in the atmosphere, which in the aggregate should lead to more extremes. Of course there is more to it than that, since the Earth's albedo and atmospheric composition is also changing. Even more worrisome the ph of the ocean is changing, which could have profound consequences for oxygen producing phytoplankton, which again affects all of the above and us. Not a mathematician but I wonder can these discrete perturbed and repeated simulations approximate some well defined probability measure over the actual system?