Table S1: Winter-time Sr/Ca regressions at inter-annual (eqn. A.1) and five year (eqn.
A.2) time scales for the equations of the form: Sr/Ca = beta + gamma * SST. sigma2
beta - gamma is the covariance on the slope and intercept with units of (mmol/mol)2(degC). beta has units of
mmol/mol and gamma has units of mmol/mol/degC.

Time	beta	2sigma	gamma	2sigma	r^2	F_sig	rmsr	se 	sigma^2_beta-gamma
Frame 		Er.		Er.			(degC)	(mmol/mol)

Inter-	10.6 	0.6 	- 0.0605 0.0279 0.13 	<0.0001 1.05 	0.0064 	-0.004
Annual
(A.1)
Five  	11.3 	1.1 	- 0.0972 0.0531 0.36 	0.0012 	0.36 	0.0036 	-0.014
Year
Bin (A.2)