Top: Time series of the paleoclimate ΔT PDFs centred on the three possible LIA dates. Blue lines show the duration of the LIAs, while black lines shows the 85 year intervals prior to the LIA starts. Bottom: PDFs of ΔT within the LIA (blue) and in the previous 85 years (black). Dashed lines show the means of the distributions. While the two PDFs are statistically distinct for LIA1 and LIA2, LIA3 is not distinct from the previous 85 years within the uncertainties in the data.