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One thing to note about the statistics of processes with persistence: the variance increases as the lenght of time being averaged increases. This means that 'stable climate' is an oxymoron. There is no such animal, at least in the length of time significant to humans. Now the really long term plot from the Vostok ice core shows that the variance may be constant when averaging over periods of 100,000 years or greater. But in geologic terms, that's recent history. Averaging over thirty years and calling that 'climate' rather than weather is something of a bad joke.

Note that I think that there is indeed an anthropogenic component from increased CO2 and other molecules with significant IR absorption/emission in the thermal IR in the recent temperature record, but it's not at all clear how big it is.

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