Table T2. Cross-spectral coherencies and phase relationships between different proxies from Sites 1237, 1241, 925/926, and Northern Hemisphere summer insolation.

Spectral cross correlation	Time interval (Ma)	41 k.y.		23 k.y.		19 k.y.
		Coh.	Phase	Coh.	Phase	Coh.	Phase
Insol. vs. GRA density (Site 1237)	2.2–3.0	0.94	1.7	0.95	0.3	0.77	–0.3
	3.0–4.0	0.96	0.1	0.97	0.0	0.98	0.5
	4.0–5.0	0.97	1.8	0.97	0.5	0.92	0.0
	5.0–6.0	0.91	–3.2	0.95	–0.3	0.98	–0.5
Insol. vs. benthic 13C (Site 1237)	4.2–5.0	0.97	5.1	0.83	6.7
	5.0–5.9	0.89	2.5	0.65	5.1
Benthic 18O (reversed) vs. benthic 13C (Site 1237)	4.2–5.0	0.94	1.7	0.84	6.9
	5.0–5.9	0.91	2.2	0.67	3.0
Insol. vs. benthic 13C (Site 1241)	2.5–3.5	0.98	4.5	0.82	0.6
	3.5–4.5	0.96	5.0	0.80	7.0
	4.5–5.5	0.95	6.0
Insol. vs. percent sand (Site 1241)	2.5–3.5	0.95	–3.0	0.94	–1.4	0.83	–0.9
	3.5–4.5	0.96	–1.3	0.94	0.0	0.93	0.6
	4.5–5.5	0.96	–1.5	0.94	0.0	0.93	–1.2
Benthic 18O (reversed) vs. benthic 13C (Site 1241)	2.5–3.5	0.94	3.3	0.82	2.9
	3.5–4.5	0.96	3.0	0.68	4.8
	4.5–5.5	0.92	3.2
Benthic 13C (Site 1241) vs. benthic 13C (Site 1237)	4.2–5.5	0.98	–2.6	0.77	–2.2
Benthic 18O (Site 1241) vs. benthic 18O (Site 1237)	4.2–5.5	0.92	–0.7	0.75	–3.6
Benthic 13C (Site 1241) vs. benthic 13C (Site 925/926)	2.5–4.0	0.95	–1.2
	4.0–5.7	0.96	2.5
Benthic 18O (Site 1241) vs. benthic 18O (Site 925/926)	2.5–4.0	0.97	0.8	0.88	2.3
	4.0–5.7	0.93	–3.5

Notes: For cross-spectral analysis, all records were interpolated at 2-k.y. steps. The number of lags was set to 50% of the time series (bandwidth = 0.003 for 1-m.y. intervals). All relationships are coherent above the 80% confidence level (nonzero coherency level = 0.52). For example: At the obliquity band, benthic ¹³C maxima (Site 1241) lag insolation maxima by 4.5 k.y. in the time interval from 2.5 to 3.5 Ma or benthic ¹³C maxima (Site 1241) lag ¹⁸O minima by 3.3 k.y. GRA = gamma ray attenuation.