Smearing Climate Data

Note: See the update at the end of the post for a test involving 1000 (rather than 100) Monte Carlo simulations.

If a temperature event like we witnessed in the last century — a warming of around 0.9 deg.C in about 100 years — had happened at some other time in the last 11,300 years, would it have left some trace in the recent paleoclimate reconstruction of Marcott et al.?