Earth and Planetary Science Letters 206 (2003) 253^271 www.elsevier.com/locate/epsl Rapid sea-level fall and deep-ocean temperature change since the last interglacial period K.B. Cutler a , R.L. Edwards a; , F.W. Taylor b , H. Cheng a , J. Adkins c , C.D. Gallup d , P.M. Cutler a , G.S. Burr e , A.L. Bloom f a Department of Geology and Geophysics, University of Minnesota, Minneapolis, MN 55455, USA Institute for Geophysics, University of Texas, 4412 Spicewood Springs Road, Austin, TX 78759-8500, USA Division of Geological and Planetary Sciences, California Institute of Technology, MC 100-23, Pasadena, CA 91125, USA d Department of Geological Sciences, University of Minnesota Duluth, Duluth, MN 55812, USA e Department of Physcis, University of Arizona, Tucson, AZ 85721, USA f Department of Earth and Atmospheric Sciences, Snee Hall, Cornell University, Ithaca, NY 14853, USA b c Received 4 June 2002; received in revised form 12 November 2002; accepted 27 November 2002 Abstract We have dated Huon Peninsula, Papua New Guinea and Barbados corals that formed at times since the Last Interglacial Period, applying both 230 Th and 231 Pa dating techniques as a test of age accuracy. We show that Marine Isotope Stage (MIS) 5e ended prior to 113.1 8 0.7 kyr, when sea level was 319 m. During MIS 5b sea level was 357 m at 92.6 8 0.5 kyr, having dropped about 40 m in approximately 10 kyr during the MIS 5c^5b transition. Sea level then rose more than 40 m during the MIS 5b^5a transition, also in about 10 kyr. MIS 5a lasted until at least 76.2 8 0.4 kyr, at a level of 324 m at that time. Combined with earlier data that places MIS 4 sea level at 381 m at 70.8 kyr, our late MIS 5a data indicate that sea level fell almost 60 m in less than 6 kyr (10.6 m/kyr) during the MIS 5^4 transition. The magnitude of the drop is half that of the glacial^interglacial amplitude and approximately equivalent to the volume of the present-day Antarctic Ice Sheet. During this interval the minimum average rate of net continental ice accumulation was 18 cm/yr, likely facilitated by efficient moisture transport from lower latitudes. At three specific times (60.6 8 0.3, 50.8 8 0.3, and 36.8+0.2 kyr) during MIS 3, sea level was between 385 and 374 m. Sea level then dropped to 3107 m at 23.7 8 0.1 kyr early in MIS 2, before dropping further to Last Glacial Maximum (LGM) values and then rising to present values during the last deglaciation. Times of rapid sea-level drop correspond to times of high winter insolation at low northern latitudes and high winter latitudinal gradients in northern hemisphere insolation, supporting the idea that these factors may have resulted in high water-vapor pressure in moisture sources and efficient moisture transport to high-latitude glaciers, thereby contributing to glacial buildup. We combined our sea-level results with deep-sea N18 O records as a means of estimating the temperature and ice-volume components in the marine N18 O record. This analysis confirms large deep-ocean temperature shifts following MIS 5e and during Termination I. Deep-ocean temperatures changed by much smaller amounts between MIS 5c and 2. Maximum temperature shift in the deep Pacific is about 2‡, whereas the shift at a site in the Atlantic is 4‡. Under glacial conditions temperatures at both sites are near the freezing point. The shift in the Atlantic is likely caused by a combination of changing proportions of northern and southern source waters as well as changing temperature at the sites where these deep waters form. * Corresponding author. Tel.: +1-612-626-0207; Fax: +1-612-625-3819. E-mail address: edwar001@umn.edu (R.L. Edwards). 0012-821X / 02 / $ ^ see front matter F 2002 Elsevier Science B.V. All rights reserved. doi:10.1016/S0012-821X(02)01107-X EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart 254 K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 F 2002 Elsevier Science B.V. All rights reserved. 1. Introduction Quaternary sea-level history provides a globally averaged record of the glacial^interglacial cycles and is important for establishing the timing and extent of continental glaciation, £uctuations in ocean temperatures, and the relationship between orbital forcing and global climate. Because sealevel history is a key reference for other climate records, an accurate history of these changes is also essential for establishing an order of events and causal relationships in climate history. Since the 1960s [1,2] fossil corals collected from tectonically uplifting coastlines have been used to reconstruct late-Quaternary sea-level history. Because some species of reef corals grow near the sea surface, they are useful for tracking sea-level changes. In the late 1980s, the precision of these reconstructions, largely based on the precision of the coral ages, was signi¢cantly improved with the development of high-precision mass spectrometric 230 Th dating methods [3^5]. Despite this advance two problems have hindered this approach. First, the timing of sea-level changes has remained somewhat controversial due to the possibility of diagenesis and alteration of coral aragonite. Such alteration could shift parent^daughter ratios and result in inaccurate 230 Th ages. Second, collection of corals that grew during glacial times has proven di⁄cult as such corals are either below present sea level or, in tectonically uplifted areas, may be covered by corals that grew subsequently, during times of higher sea level. In this study we address aspects of these problems. In addition to traditional tests for diagenesis, we have tested 230 Th ages for concordancy using high-precision techniques for 231 Pa dating [6,7] of corals. We have also collected corals that grew during lower sea-level stands through drilling (e.g. [8^10]) as well as surface collection. Included in our data set are the youngest corals yet recovered from MIS 5 (collected from the surface at Barbados), early MIS 2 corals (collected by drilling through the deglacial sequence and LGM unconformity on the Huon Peninsula), and MIS 5b corals (collected on the surface on the Huon Peninsula). We assessed age accuracy by testing for age concordance and by testing whether initial uranium isotopic compositions matched the marine value. We then applied the same criteria to existing coral sea-level data. We used the collective data set to establish our best estimate of sea-level history since MIS 5e. We will show that a relatively small fraction of our initially large number of samples shows no evidence for diagenetic alteration. Similarly, our analysis of existing data indicates that only a small fraction of published data satis¢es our criteria. We view our results as an initial step in establishing a higher-resolution sea-level curve. In addition to providing some tight constraints on sea-level history, our data delineate speci¢c portions of the sea-level curve for which we currently have few robust data. 2. Field collection Drill-core and surface corals were collected on the Huon Peninsula, Papua New Guinea and southwestern Barbados between 1988 and 2001. These locations are ideal [1,2,11,12] because their tectonically uplifting coastlines raise and expose coral reefs through time. The uplift rate at our most important Barbados site (the FA site on the ‘F’ transect of [13]) in southwestern Barbados is 0.33 m/kyr ([14], see below) while on the Huon Peninsula it is more rapid, increasing along the coastline from about 1 m/kyr in the northwestern portion to more than 2.5 m/kyr in the southeastern portion [2]. The samples were examined in the ¢eld for macroscopic evidence of alteration and in the laboratory for secondary calcite growth by Xray di¡raction. In all, we further analyzed 32 samples (Table 1), which appeared unaltered on the basis of these initial tests. 2.1. New Guinea surface samples We analyzed 14 samples (Table 1) collected EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart Table 1 Coral ages, isotopic composition, and elevation data Samplea Spc Evd (m) Evg e (m) 238 U (ppb) A A A A 333 8 0.5 335 8 0.5 341 8 0.5 345 8 0.5 358 8 1 361 8 1 379 8 2 3107 8 2 3355 8 3 2390 8 3 2840 8 3 3475 8 4 3275 8 3 3278 8 3 2424 8 3 2219 8 3 3462 8 4 3146 8 4 3479 8 6 P 353 8 0.5 3119 8 2 P 358 8 0.5 3111 8 1 II P 22 8 2 374 8 3 II P 982 377 8 2 II P 982 385 8 2 IIIa IIIa IIIb IIIb G P F P 35 8 2 75 8 2 45 8 2 30 8 2 377 8 4 362 8 5 391 8 5 360 8 2 IV V M P 75 8 2 113 8 2 351 8 4 358 8 5 V P 117 8 2 354 8 4 VI VI VIIb P P G 169 8 2 177 8 2 195 8 2 352 8 7 349 8 7 317 8 4 VIIb P Ap 195 8 2 321 8 7 181 324 8 3 Ap P 181 28 8 2 324 8 3 314 8 4 Ap Ap 31 8 1 20 8 315 8 3 328 8 4 P Ap 29 8 2 31 8 1 317 8 4 319 8 3 20 8 2 42 8 2 331 8 4 39 8 3 [230 Th/238 U] (activity) N234 Um f (x) 286 8 9 9292 8 143 249 8 5 856 8 8 1058 8 11 1000 8 7 112 8 7 69 8 5 4117 8 35 3907 8 94 4197 8 52 0.1233(6) 0.1251(7) 0.1431(5) 0.2206(8) 0.2212(8) 0.2212(7) 0.2346(7) 0.2367(8) 0.2598(15) 0.2619(13) 0.2629(14) 141.3 8 1.2 141.8 8 1.2 139.8 8 1.2 131.0 8 1.2 130.8 8 1.2 132.2 8 1.3 136.2 8 1.1 132.7 8 1.3 131.5 8 1.2 128.7 8 1.2 135.8 8 1.3 12.45 8 0.06 12.54 8 0.13 14.61 8 0.05 23.58 8 0.10 23.66 8 0.10 23.63 8 0.09 25.13 8 0.09 25.48 8 0.10 28.30 8 0.19 28.65 8 0.17 28.56 8 0.18 146.4 8 1.2 146.9 8 1.3 145.7 8 1.2 140.1 8 1.3 139.8 8 1.2 141.4 8 1.3 146.3 8 1.2 142.6 8 1.3 142.4 8 1.3 139.5 8 1.3 147.2 8 1.4 2527 8 3 2990 8 3 2902 8 3 2943 8 4 2700 8 3 2744 8 4 3078 8 4 3823 8 4 2321 8 3 3355 8 4 3623 8 4 3232 8 4 2605 8 3 2704 8 3 2499 8 3 2710 8 4 2389 8 3 2928 8 3 2824 8 4 2850 8 3 2873 8 3 2869 8 3 2611 8 3 1936 8 16 2301 8 28 61 8 8 160 8 24 38 8 5 62 8 9 36 8 6 41 8 8 497 8 19 51 8 5 173 8 5 71 8 12 59 8 6 108 8 10 158 8 13 153 8 13 341 8 13 26 8 6 38 8 5 35 8 6 52 8 7 40 8 7 342 8 5 0.3240(14) 0.3242(31) 0.3921(30) 0.3902(13) 0.4173(26) 0.4202(17) 0.4801(15) 0.4096(24) 0.4054(21) 0.4128(13) 0.3945(13) 0.5207(16) 0.6455(19) 0.6442(21) 0.6443(84) 0.6364(22) 0.7489(25) 0.7711(26) 0.7442(23) 0.7298(22) 0.7381(64) 0.7352(22) 0.7351(40) 125.7 8 1.2 127.2 8 1.1 120.1 8 1.3 119.4 8 1.2 123.2 8 1.1 121.1 8 1.2 118.1 8 1.1 128.7 8 1.2 121.1 8 1.1 119.0 8 1.2 116.9 8 1.1 112.3 8 1.2 115.3 8 1.0 112.9 8 1.3 109.9 8 1.3 107.7 8 1.3 109.7 8 1.1 126.9 8 1.1 110.8 8 1.2 110.5 8 1.3 110.6 8 1.2 110.6 8 1.2 103.4 8 1.1 36.80 8 0.20 36.76 8 0.42 46.64 8 0.45 46.41 8 0.20 50.23 8 0.40 50.80 8 0.26 60.57 8 0.26 48.76 8 0.36 48.56 8 0.32 49.81 8 0.20 47.18 8 0.20 68.07 8 0.31 92.57 8 0.45 92.60 8 0.51 93.06 8 1.89 91.61 8 0.52 119.34 8 0.76 121.87 8 0.78 117.77 8 0.69 113.90 8 0.65 116.16 8 1.80 115.36 8 0.66 116.80 8 1.15 139.5 8 1.4 141.1 8 1.3 137.0 8 1.4 136.2 8 1.3 142.0 8 1.2 139.8 8 1.4 140.1 8 1.3 147.7 8 1.4 138.9 8 1.2 137.0 8 1.3 133.5 8 1.2 136.1 8 1.4 149.7 8 1.3 146.7 8 1.7 143.0 8 1.8 139.5 8 1.6 153.7 8 1.6 179.1 8 1.6 154.6 8 1.7 152.5 8 1.8 153.5 8 1.9 153.2 8 1.7 143.8 8 1.6 3258 8 5 3107 8 3 2746 8 4 3004 8 4 3652 8 4 3623 8 4 3310 8 4 3155 8 4 3722 8 4 3446 8 4 3379 8 4 3438 8 4 3241 8 4 3071 8 4 65 8 8 355 8 13 189 8 12 322 8 10 468 8 13 214 8 13 589 8 10 48 8 16 107 8 14 1416 8 11 151 8 14 430 8 13 143 8 12 44 8 7 0.5676(15) 0.5658(17) 0.5670(16) 0.6709(16) 0.6798(21) 0.7013(21) 0.7193(17) 0.7150(22) 0.7169(22) 0.7278(18) 0.7284(22) 0.7256(23) 0.7539(24) 0.7351(26) 115.3 8 1.6 114.7 8 1.3 117.0 8 1.7 112.1 8 1.2 110.1 8 1.1 117.1 8 1.2 118.6 8 1.1 123.9 8 1.2 110.3 8 1.3 110.0 8 1.2 106.7 8 1.2 108.8 8 1.3 129.0 8 1.5 103.6 8 1.1 76.49 8 0.34 76.20 8 0.35 76.17 8 0.35 98.84 8 0.43 101.20 8 0.50 105.30 8 0.60 109.60 8 0.50 107.50 8 0.60 110.50 8 0.60 113.50 8 0.60 114.30 8 0.70 113.10 8 0.70 116.70 8 0.70 116.80 8 0.80 143.1 8 2.0 142.2 8 1.6 145.1 8 2.1 148.2 8 1.6 146.6 8 1.5 157.7 8 1.6 161.7 8 1.5 167.9 8 1.6 150.8 8 1.8 151.5 8 1.7 147.4 8 1.7 149.8 8 1.8 179.4 8 2.0 144.1 8 1.6 230 Th age (ka) N234 Ui f (x) [231 Pa/235 U] (activity) 231 Pa age (ka) 0.238(5) 12.8 8 0.3 0.401(3) 0.407(5) 0.426(9) 0.413(5) 24.2 8 0.2 24.7 8 0.4 26.2 8 0.8 25.2 8 1.2 0.475(8) 0.433(6) 30.5 8 0.7 26.8 8 0.5 0.536(15) 0.525 (9) 0.615(8) 0.612(5) 0.645(7) 0.659(8) 0.724(4) 0.625(10) 0.485(9) 0.605(12) 0.552(9) 36.3 8 1.6 35.2 8 0.9 45.1 8 0.9 44.7 8 0.6 49.0 8 1.0 50.8 8 1.2 60.8 8 0.8 46.3 8 1.3 31.3 8 0.9 43.9 8 1.5 37.9 8 0.9 0.859(16) 0.864(7) 0.833(17) 92.7 8 5.2 94.4 8 2.3 84.6 8 4.9 0.917(12) 0.932(12) 117.6 8 6.7 126.7 8 8.1 0.902(6) 109.8 8 2.8 0.876(14) 98.7 8 5.5 0.800(4) 0.799(7) 76.1 8 1.1 75.8 8 1.6 0.837(4) 0.889(6) 85.8 8 1.3 103.9 8 2.6 0.912(6) 0.884(6) 114.6 8 3.0 102.0 8 2.6 0.903(13) 0.902(6) 0.934(7) 0.875(8) 110.2 8 6.3 109.7 8 3.0 128.7 8 5.0 98.1 8 3.0 231 Pc g N234 Uc g ^ Y ^ ^ Y Y Y Y ^ Y Y Y* Y* Y* Y* Y* Y* Y* Y* Y* Y* Y* Y Y Y Y Y Y Y N N N N ^ N Y N ^ N N ^ ^ N ^ N Y* Y* N N Y* Y* Y* Y Y N N N Y Y* Y Y Y N N Y Y Y Y ^ Y Y ^ N Y ^ N N ^ N Y N N Y Y* Y* Y Y N N N Y Y Y Y* N Y 255 Ap S 232 Th (pg/g) K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart New Guinea drill core GP 38.0 GP 40.95 KNM 46.7 KNM 50.0 (A) (B) (C) KNM 58.7 (A) (B) KWA 64.3 (A) (B) (C) New Guinea surface KNM-T-2 (a) (b) KWA-I-1 (A) (B) KWA-N-1 (A) (B) KWA-Q-1 KAN-D-4 KAN-C-2 KWA-K-1 (A) (B) SIAL-E-1 KWA-S-1 (A) (B) KWA-U-1 (A) (B) SIAL-Q-1 SIAL-O-2 KIL-3 (a) (b) (C) (D) KIL-5 Barbados surface FA-3 (A) (B) FA-00-1 GQ-3 (A) (B) OC-2 OC-5 (A) (B) GQ-4 OC-1 (A) (B) (C) OC-4 UWI-17 Trcb 320 8 4 319 8 4 29 8 2 33 8 2 P Ap Parentheses show 2c errors in the last signi¢cant ¢gures. a KNM = Kanomi, KWA = Kwambu, GP = Gagidu Point, KIL = Kilasairo, KAN = Kanzarua, SIAL = Sialum, FA = Holders Hill, GQ = Grazettes Quarry, OC from [19], SSS = St. Stephens School, and UWI = University of West Indies Hill; Replicates (A), (B),T are fragments of the same coral and (a), (b),T are aliquots of the same sample; sub-samples in bold type were found to be unaltered. b Terrace number [2]. c Species: A = Acropora sp., Ap = Acropora palmata, F = Favia laxa, G = Gardineroseris planulata, M = Montipora sp., P = Porites sp., and S = Siderastria sp. d Present elevation. e Growth elevation (see text). f N234 Um is measured and N234 Ui is initial value. g 231 Pac indicates whether concordancy criteria are satis¢ed; N234 Uc indicates whether N234 Ui criteria are satis¢ed (see text). N N N ^ 80.3 8 1.6 88.3 8 1.1 112.9 8 5.3 0.817(63) 0.845(34) 0.908(10) 134.6 8 1.6 133.6 8 1.6 171.3 8 1.6 162.2 8 2.2 109.70 8 0.70 109.70 8 0.60 117.70 8 0.70 118.40 8 1.00 98.7 8 1.2 98.0 8 1.2 122.8 8 1.1 115.9 8 1.5 0.7054(24) 0.7046(21) 0.7530(22) 0.7521(32) 307 8 10 338 8 10 87 8 14 117 8 15 3654 8 4 3763 8 3 3228 8 3 3160 8 4 35 8 4 43 8 3 Ap UWI-19 (A) (B) GQ-1 SSS-93 Trcb Samplea Table 1 (Continued). Spc Evd (m) Evg e (m) 238 U (ppb) 232 Th (pg/g) [230 Th/238 U] (activity) N234 Um f (x) 230 Th age (ka) N234 Ui f (x) [231 Pa/235 U] (activity) 231 Pa age (ka) 231 Pc g N N N N K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 N234 Uc g 256 from surface exposures on the Huon Peninsula (Fig. 1). The samples were obtained from exposed coral reef Terraces II^VII (de¢ned in [2,11]) on transects perpendicular to the coastline. SIAL-E1, Q-1 and O-2 were collected near Sialum [15]; KWA-I-1, N-1, Q-1, K-1, S-1, and U-1 were collected near Kwambu [2]; KIL-3 and 5 were collected near Kilasairo [15]; and KAN-D-4 and C-2 were collected near Kanzarua [2] in 1988 [16]. KNM-T-2 was collected near Kanomi [17] in 1996. Samples were primarily Porites sp., but also included Favia laxa, Gardineroseris planulata and Montipora sp. (Table 1). To establish present elevations, we subtracted sample height relative to the terrace crest from the known height of the terrace crest. For Sialum, Kwambu, and Kilasairo samples we used a single set of terrace crest elevations [15] because of the close proximity of these sites. For Kanzarua we used terrace elevations from [16,18] and for Kanomi we interpolated the elevations between nearby sites Blutcher [2] and Kanzarua. To establish uplift rate at each locality we subtracted 5 m (last interglacial sea level) from the present elevation of the last interglacial terrace, Terrace VIIb, and divided by 120 ka. Calculated uplift rates were 1.85 m/kyr for Sialum, Kwambu, and Kilasairo, 2.6 m/kyr for Kanomi, and 2.8 m/ kyr for Kanzarua and are generally consistent with those calculated for the Holocene [16]. Key New Guinea surface samples include KWA-S-1, which establishes the timing and height of sea level during MIS 5b, and KNM-T-2, KWA-N-1, and KWA-Q-1, which constrain sea level during portions of MIS 3, including the end, immediately prior to the MIS 3^2 transition. 2.2. New Guinea drill-core samples We analyzed six drill-core samples (Table 1) collected during three drilling operations at sites just above sea level near Kwambu in 1996, and Kanomi and Gagidu Point in 1997 (Fig. 1). The Kwambu and Kanomi cores both penetrated the unconformity at the base of the deglacial sequence into early MIS 2 corals. The Kwambu core penetrated deeper than the 1988 core (of Chappell and Polach [9] and Edwards et al. [10]) and includes EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 257 50.0 and KNM 58.7 from the Kanomi core and KWA 64.3 from the Kwambu core. These samples place constraints on sea level early in MIS 2 and during the transition between MIS 3 and 2. In particular, we will show that KNM 50.0 is about 13 kyr younger than KNM-T-2 (collected on the surface immediately inland from the drill site) and is at present 67 m lower in elevation than KNM-T-2. This pair constrains the rate of sealevel fall during the MIS 3^2 transition. 2.3. Barbados surface samples Fig. 1. Map of Papua New Guinea including the Huon Peninsula ¢eld area, showing locations of samples in Table 1. Coral ages generally increase landward from the coastline and uplift rates increase along the coastline from the northwest to the southeast [2]. all of the late Pleistocene, early Holocene sequence that is preserved at the site. Ground level is 5.9 m above sea level, core depth is 68.6 m, and the sample is from a depth of 64.3 m (relative to ground level). The Kanomi site is 6.3 m above sea level, core depth is 63.0 m, and samples are from depths of 46.7, 50.0 and 58.7 m. The Gagidu Point site, located less than 0.5 km north of Finschhafen, is 5.8 m above sea level, core depth is 59.0 m, and sample depths are 38.0 and 40.9 m. Corals collected from drill cores were Acropora and Porites species. Uplift rates for Kanomi and Kwambu are calculated as described above. The uplift rate at Gagidu Point is not critical for the sea-level record presented here; however, we have calculated its value. Because the VIIb terrace elevation was not available, we established the uplift rate based on the elevation di¡erence between Gagidu Point deglacial corals and known deglacial sea level. We subtracted the Gagidu Point growth elevations (GP 38.0 or GP 40.95, Table 1) from known sea level [10] and divided by age, determining an uplift rate of 2.1 m/kyr. With regard to sea-level history, the most important New Guinea core samples are from below the unconformity between early MIS 2 and the deglacial sequence. The key samples are KNM We analyzed 12 Barbados samples (Table 1) collected from surface exposures in 1991, 1993, and 2000 (Fig. 2). FA-3 and FA-00-1 were collected near sea level west of Holders Hill at the FSL site [14] and along the ‘F’ transect [13] ; GQ1, 3, and 4 were collected from Grazettes Quarry; OC-1, 2, 4, and 5 were collected from the OC site [13,19]; UWI 17 and 19 were collected from the western £ank of the University of the West Indies hill; and SSS-93 was collected from the construction site for St. Stephen’s School. The majority were Acropora palmata, which tracks sea level Fig. 2. Map of Barbados showing First High Cli¡ (dashed line), Second High Cli¡ (dotted line), major roads (gray lines), and locations of samples in Table 1. First High Cli¡ is immediately seaward of the Rendezvous Hill (Last Interglacial) Terrace crest. Coral ages generally increase landward [12,19]. EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart 258 K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 particularly closely, growing within a few meters of sea level [20]. In addition, we collected Porites and Siderastrea species. To establish present elevations, we measured the elevation di¡erence between the sample location and the nearest topographic contour. Barbados uplift rates were calculated in a similar fashion to uplift rates for New Guinea surface sites ; here the last interglacial terrace is the Rendezvous Hill Terrace. The uplift rates were found to be 0.33 m/kyr for FA, 0.30 m/kyr for GQ, and 0.44 m/kyr for OC, UWI and SSS. As shown below, Barbados corals constrain rates of sea-level fall during the glacial buildup following MIS 5a (FA-3, FA-00-1) and rates of sea-level fall immediately after MIS 5e (OC-1). aments. The Th and Pa fractions were loaded with graphite and run using the single-¢lament technique [21] and the U fraction was run using the double-¢lament technique [22]. Single ¢laments were run at temperatures between 1600 and 1900‡C. For double ¢laments, the evaporation ¢lament was run at currents between 0.5 and 1.0 A and the ionization ¢lament between 4.2 and 5.0 A. Filaments were run on a Finnigan MAT 262 RPQ mass spectrometer with a secondary electron multiplier operated in pulse-counting mode at the Minnesota Isotope Laboratory. Using the age equation of [23] for 230 Th and of [24] for 231 Pa and the half-lives of [25] for 238 U, of [22] for 234 U and 230 Th, of [25] for 235 U, and of [26] for 231 Pa, we established the isotopic ratios and ages shown in Figs. 3 and 4 and in Table 1. 3. Analytical methods and results 3.2. Results 3.1. Methods The New Guinea drill-core samples have 230 Th ages between 12 and 29 kyr and surface samples have ages between 36 and 117 kyr. The 230 Th ages of Barbados surface samples ranged between 76 and 118 kyr. Although the majority show evidence for diagenetic alteration through non-marine initial N234 U and/or discordant 231 Pa and 230 Th ages, a substantial number record marine initial N234 U and concordant ages, exhibiting no signs of alteration. Figs. 3 and 4 reveal that, in general, surface samples are more likely to record non-marine N234 U and lie o¡ of concordia than the younger drill-core samples. Most, but not all samples that lie o¡ of concordia, lie below concordia (231 Pa age less than 230 Th age). This sense of o¡set is consistent with U gain or daughter loss, if the lost component does not have a signi¢cantly higher 230 Th/231 Pa ratio than the sample [27]. 230 Th ages are as much as 12 kyr older and as much as 30 kyr younger than 231 Pa ages, illustrating the importance of the concordia test. The samples with non-marine uranium isotopic composition have N234 U values both above (as high as 35x higher) and below (as much as 12x lower) the modern marine value, indicating the need to test samples by uranium isotopic composition as well. Discordance and the shifts in uranium isotopic 32 samples showed no macroscopic signs of alteration, contained no calcite detectible by X-ray di¡raction techniques, and were selected for further analysis. We removed a 1 g sub-sample, or in some cases multiple sub-samples for replicate analyses, and ultrasonicated each piece. For corals that had previously been dated by 230 Th methods, we analyzed a new sub-sample for both 230 Th and 231 Pa ages so that we could assess the accuracy of the 230 Th age for that particular sub-sample. We dissolved each sub-sample and aliquoted the solution into two portions. We spiked those portions destined for 230 Th age analyses with 229 Th and a 233 U^236 U double spike. Those portions intended for 231 Pa age analysis were spiked with 233 Pa. We then dried down the solutions with HClO4 to ensure sample^spike equilibration, redissolved them in 2 N HCl, added iron, and co-precipitated the U, Th, and Pa by adding NH4 OH. We centrifuged the samples to separate the precipitate, dissolved it in HNO3 , and ran each solution through an anion exchange column to separate the elements. We then loaded and dried down the puri¢ed U, Th and Pa fractions on zone-re¢ned rhenium ¢l- EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 259 Fig. 3. New Guinea and Barbados isotopic data. Solid green bars are New Guinea drill-core samples, red ellipses are New Guinea surface samples, and blue ellipses are Barbados surface samples. Dimensions of the symbols correspond to 2c errors. (a) [231 Pa/235 U]^[230 Th/234 U] concordia diagram. Tick marks indicate age in kyr. Samples that plot on the curve (concordia) have identical 231 Pa and 230 Th ages. (inset) Enlargement for samples with ages between 20 and 60 kyr. (b) Measured N234 U versus [230 Th/238 U]. Numbers next to vertical lines are 230 Th ages in kyr and those on sub-horizontal curves are N234 Ui values in x. The shaded envelope shows the 146x modern marine value and error limits used when screening samples by N234 Ui value. composition are likely associated with a complex set of processes involving adsorption of nuclides from groundwater, dissolution/precipitation reactions with groundwater, and leaching into groundwater of nuclides from recoil-damaged sites. The common factor is groundwater. In Fig. 4, the di¡erence between initial and marine N234 U is plotted versus the di¡erence between 231 Pa and 230 Th age, showing a weak correlation 2 (R = 0.21). The fact that there is some coupling suggests that both measures of diagenesis respond, in part, to the same processes. The fact that the coupling is weak indicates that diagenetic processes do not a¡ect the two variables in the same way. The weakness of the coupling indicates that both tests are needed to screen for diagenesis. Support for the dual screen also comes from the fact that some samples record marine uranium isotopic composition, but have discordant ages, whereas others have concordant ages, but nonmarine uranium isotopic composition (Fig. 4). To the extent that the variables are coupled, we can investigate relationships among initial N234 U, 230 Th age, and 231 Pa age. Gallup et al. [14] showed that isotopic data for Barbados samples with elevated N234 U could be explained, broadly, through addition of both 234 U and 230 Th from groundwater, while keeping U concentration constant. Their model used a molar ratio of 1.41 for 234 U/230 Th addition to reproduce the data to ¢rst order. This addition ratio yields a shift of about 0.25 kyr in 230 Th age per N-unit shift in 234 U/238 U. A best-¢t line through the data in Fig. 4 has a slope that corresponds to a shift in di¡erence between 231 Pa and 230 Th age of 1.6 kyr per N-unit shift in 234 U/238 U. The sum gives a shift in 231 Pa age of 1.85 kyr per N-unit shift in 234 U/238 U. Thus, on average, 231 Pa age increases with increase in N234 U, and the slope of this increase is higher than the increase in 230 Th age with increase in N234 U. However, because the variables do not correlate exactly and the processes responsible for shifts in their values are poorly known, we cannot accurately correct ages on the basis of these correlations. Although a number of samples show evidence EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart 260 K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 4. Sea-level curve Fig. 4. Di¡erence between initial N234 U and modern marine value versus di¡erence between 231 Pa and 230 Th age, for all analyses in this study. The length of the gray rectangle corresponds to the N234 U criterion (within 8x of modern marine U isotopic composition); the width of the rectangle corresponds to one concordancy criterion (ages within 2 kyr of each other). In addition to the points that plot above the rectangle, one other datum (over small gray square) satis¢es both criteria (the concordancy criterion on the basis of a measured 231 Pa/235 U value within 1% of the value calculated from the 230 Th age). The data have a weak positive correlation (R2 = 0.21), indicating that the variables respond to a small degree to the same diagenetic processes. On average, 231 Pa age increases with increasing initial N234 U (see text). The weakness of the correlation and the fact that speci¢c samples satisfy one criterion but not the other indicate that both concordancy and N234 U criteria are needed to screen for diagenesis. for diagenesis, several key samples show no evidence for diagenesis. These include corals that grew during MIS 5b (KWA-S-1 at 92.6 ka) and early MIS 2 (KNM 50.0 at 23.6 ka; KNM-T-2 at 36.8 ka), as well as corals that grew at the end of MIS 5a (FA-3 and FA-00-1 at 76.2 ka) and subsequent to MIS 5e (OC-1 at 113.1 ka). Of particular note are two pairs of samples. The ¢rst pair, KNM 50.0 and KNM-T-2, both from the same transect on the Huon Peninsula, constrain sea-level drop between MIS 3 and 2. The second pair, FA-3 and FA-00-1, from the same site in Barbados, give the same age for the end of MIS 5a. This point, coupled with an existing MIS 4 datum [28] from a coral drilled immediately o¡shore from the FA site, constrain the sea-level drop during the MIS 5^4 transition. Using the coral ages, we established the elevation of each sample when it was alive. Coral growth elevations were determined by subtracting the product of the uplift rate and the 230 Th age from the present elevation of the coral. Errors in growth elevation (Fig. 5b) were propagated from errors in present elevation, age, and uplift rate. After establishing the growth elevation of each sample, we added our age and elevation data to the existing 230 Th-dated coral sea-level data [5, 7,10,14,15,28^42] and tested the entire data set for correspondence between each sample’s initial 234 U/238 U (N234 Ui ) value and the modern marine 234 U/238 U value. This method has been used widely as a test for diagenetic alteration in coral samples. In addition, we tested all surface samples and most drill-core samples with 231 Pa data for 230 Th^231 Pa age concordancy. On the basis of uranium isotopic composition, we considered a sample to be unaltered if the initial N234 U value was within 8 8x of the modern marine value (see [14,38,43], Fig. 4) and the 2c analytical error in N234 U value was less than or equal to 8x. For the modern marine value we used the measured value from the original study, if reported. Otherwise, we used 150x [10,14] if N234 Ui values were calculated with a 234 U decay constant of 2.835U1036 yr31 [44,45] and 146x if N234 Ui values were calculated with the revised 234 U decay constant of [22]. On the basis of 230 Th^231 Pa concordancy, we considered a sample to be unaltered if (1) the 231 Pa/235 U ratio was within 1% of the expected 231 Pa/235 U ratio as calculated from the 230 Th age and the 2c analytical error in 231 Pa/235 U was 1%, or (2) the 231 Pa and 230 Th ages were within 2 kyr of each other (see Fig. 4) and the 2c analytical error in 231 Pa age was 2 kyr or less. We have chosen 2 kyr to correspond with the criteria used in the N234 U analysis. Following the ¢ndings of Gallup et al. [14] on Barbados samples, an 8x shift in N234 Ui corresponds to an age o¡set of 2 kyr. Stirling and others have found a similar covariation between N234 Ui values and 230 Th age in corals from Australia [38] and Henderson Island [43], suggesting that applying the N234 Ui cri- EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 261 Table 2 Samples bounding most rapid intervals of sea-level fall (shaded portions in Fig. 5) and rates of sea-level fall MIS 230 Th age (ka) 2 2 3 4 5a 5b 5c 5d 5e 19.0 23.7 30.0 70.82 76.19 92.60 100.50 113.10 119.90 Evg a Reference MIS transitions (m) (0.1) (0.1) (0.2) (0.60) (0.35) (0.34) (1.10) (0.70) (1.40) 3120 3107 388 381 324 358 314 319 6 (1) (2) (1) (1) (3) (5) (3) (3) (3) [30] this [30] [28] this this [28] this [39] study Age di¡erence Sea-level di¡erence Average rate of sea-level fall (m/ka) Minimum rate of ice accumulation (cm/yr) (ka) (m) 3^2 3^2 11.01 (0.23) 6.38 (0.23) 32 (3) 19 (3) 2.9 (0.1) 2.9 (0.1) 5 5 5a^4 5.37 (0.69) 57 (3) 10.6 (0.1) 18 study study 5c^5b 7.90 (1.15) 44 (6) 5.6 (0.2) 10 study 5e^5d 6.80 (1.57) 25 (4) 3.7 (0.3) 6 2c errors in the last signi¢cant ¢gures are in parentheses. a Growth elevation of coral. terion more broadly may be justi¢ed. The 1% criterion is based on analytical error. For older corals, with relatively high 231 Pa concentrations, analytical errors of 1% can be achieved routinely with current TIMS techniques. Two concordancy criteria are warranted because of the nature of Useries systematics and analytical methods : at low age, the precision of a typical analysis in terms of percentage error is large but the absolute error in age is small, whereas at high age the precision of an analysis in terms of percentage error is small, but the absolute error in age is large. In practice, the percentage criterion is the critical constraint for older samples, whereas the 2 kyr criterion is the critical constraint for younger samples. Both constraints screen for samples that have unusually high analytical error for their 231 Pa analyses. 13 samples (bold in Table 1) satis¢ed these criteria, exhibiting no sign of diagenesis. These results, along with earlier data which also satisfy the same criteria, are depicted by yellow points in Fig. 5b. Of the points that do not satisfy our criteria, those that are most likely to be accurate are depicted in black (main part of Fig. 5b). The most important black points are between 72 and 16 kyr. These data all satisfy the N234 U criterion, but do not have 231 Pa analyses. The corals in question all grew during times of low sea level at sites with low uplift rates. Consequently, these corals have largely been below sea level and have not interacted extensively with groundwater. Therefore these corals are more likely to record accurate ages than others with the same isotopic characteristics and have been included in the main portion of Fig. 5b. Besides the 72^16 kyr samples, we have also included, for completeness, samples younger than 16 kyr, which satisfy the N234 U requirement, but for which no 231 Pa data are available. We have also included two MIS 5c points described below. Note that in some cases samples are not depicted in Fig. 5b because analytical errors exceeded our criteria. Also depicted in Fig. 5b is a green curve connecting the data. The curve is intended as a visual guide. The subtleties of the curve’s position are, in part, determined by data other than the speci¢c points in Fig. 5b. The portion between 140 and 128 ka is based on the results of Gallup et al. [46]; the age limits of peak 5e were ¢xed using the N234 Ui -screened data set of Chen et al. [39]; the timing and height of peak 5a sea level follow the results of Ludwig et al. [29] and Toscano and Lundberg [41] ; and the curve is discontinuous during periods (MIS 3 and 5d) where other climate proxies suggest major £uctuations, which we have insu⁄cient resolution to re£ect. Note that we chose the more conservative data set for setting the age limits of MIS 5e (Chen et al. [39]). Use of the Stirling et al. [37,38] data set would result in calculation of an even more rapid rate of sea-level fall for the MIS 5e^5d transition than the value calculated below. EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart 262 K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 For the MIS 3^2 transition, we have drawn the curve through the Acropora sp. data points and above three data points representing other genera. In addition to the species data supporting this placement, there are also stratigraphic data in the case of the three Papua New Guinea points (triangles ^ one on the curve, two below the curve). All three are from corals recovered from drill core, a pair of samples from the Kanomi core (KNM 50.0 and KNM 58.7) and one from the Kwambu core (KWA 64.3). All three date to early MIS 2 and lie stratigraphically between the basement and the unconformity that represents the LGM. At Kanomi, KNM 50.0 is stratigraphically the youngest coral in this interval (immediately below the LGM unconformity), whereas KNM 58.7 is stratigraphically the oldest coral in this interval (immediately above the basement substrate). KWA 64.3 occupies a stratigraphic position analogous to KNM 58.7, but at Kwambu. Following MIS 3, the substrate at each site was likely at some depth below the photic zone. Because of uplift, likely coupled with sea-level drop, the water depth eventually became shallow enough so that the ¢rst reef-building corals could grow, meters below actual sea level and directly above the substrate. The ages and stratigraphic positions of KWA-64.3 (28.6 kyr) and KNM 58.7 (25.3 kyr) suggest such an origin. As both sites experienced further shoaling, corals growing very close to sea level were deposited just prior to emergence, represented by the LGM unconformity. At Kanomi, the age and position of KNM 50.0 (23.6 kyr) just below the unconformity follow 263 this scenario. Hence, the stratigraphic relationships suggest that KWA-64.3 (Porites sp.) and KNM 58.7 (Porites sp.) grew at some signi¢cant depth below sea level, as the ¢rst corals to grow at their respective sites during an interval of relative sea-level drop, and that KNM 50.0 (Acropora sp.) grew very close to sea level, as the last coral to grow at the Kanomi site prior to emergence. The genera data support this interpretation; hence our placement of the curve through KNM 50.0 but above KNM 58.7 and KWA-64.3. Surprisingly, given all the work on the sea-level curve over the years, no MIS 5c samples satisfy both the N234 Ui and concordancy criteria. We have therefore depicted the two points that come closest to matching our criteria to establish MIS 5c sea level. These are Barbados surface samples AFZ-2 (100.5 8 1.1 ka and 314 8 3 m [28]), which records marine N234 U but has no 231 Pa analysis, and FT-1(I) (103.1 8 0.5 ka and 310 8 4 m [7]), which has concordant 231 Pa and 230 Th ages but slightly elevated N234 U. This is clearly a portion of the sea-level curve that warrants further careful work. We can compare our sea-level record (main portion of Fig. 5b) to the 230 Th-dated, coral sealevel record screened solely with N234 U criteria (Fig. 5b inset, solid symbols). The data in the inset have some inconsistencies, particularly in the older portion. However, the data in the main part of Fig. 5b are self-consistent, indicating that the concordancy test is important. It is also clear from the main portion of Fig. 5b that, given fairly strict diagenesis criteria, the resulting data 6 Fig. 5. Coral sea-level record compared to insolation [66] and benthic N18 O records. (a) 65‡N summer half-year insolation curve. Gray bars delineate periods of rapid sea-level fall. (left inset) Winter half-year insolation gradients: top curve is 35^50‡N, middle is 50^65‡N, and bottom is 20^35‡N. (right inset) 15‡N winter half-year insolation curve. (b) Coral sea-level record based on samples showing no evidence of diagenesis (see text). Circles are data from previous studies and triangles from this study: Papua New Guinea samples are upright and Barbados samples inverted. Yellow symbols are data that satisfy both concordancy and N234 U criteria. Black symbols are a subset of the data that satisfy one of the two criteria (see text). Replicate samples were combined using a weighted average and error bars are 2c (if not visible, they are smaller than the symbol). Red boxes enclose samples older than 15 kyr of the genus Acropora, known to track sea level closely. Black bars give the duration of MIS 5e sea-level high according to the N234 Ui -screened, coral data sets of Stirling et al. [37,38] (upper) and Chen et al. [39] (lower). The green line provides our best estimate of past sea-level change (see text). Numbers give average rates of sea-level fall for each drop (Table 2). (inset) All coral sea-level data presently available, including those from this study, measured with high-precision 230 Th dating methods. Solid symbols represent samples having N234 Ui values that match the modern marine value, open symbols represent samples that do not. (c) Benthic N18 O record for Carnegie Ridge core V19-30 [59]. Numbers are oxygen isotope stages. Dotted tie lines match similar features in the coral and N18 O records and are used in Figs. 6 and 7. EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart 264 K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 set is small. Thus, we view the main part of Fig. 5b as a ¢rst cut at a robust sea-level curve. Nevertheless, the curve con¢rms a number of well-established aspects of sea level and adds new constraints. Our data place sea level at 358 m during MIS 5b, de¢ning a drop of about 44 m between MIS 5c and 5b, and a subsequent rise of about 46 m between MIS 5b and 5a. The MIS 5b coral comes from New Guinea Terrace V [2] and raises questions about previous correlations between Terrace V and MIS 5a [2]. The di¡erence between our and previous assignments may be explained in part by di¡erences in assigned age and in part by di¡erences in assigned terrace elevations (as a result of resurveying of the terrace heights along this transect, reported in Stein et al. [15]). In addition, the results establish sea level near 3107 m at 23.7 kyr ago, before the LGM. Presuming sea level continued to drop subsequent to 23.7 kyr, New Guinea LGM sea level was likely lower than the 3105 m value obtained from glacio-isostatic models [47]. Our ¢ndings place sea level near 3111 m at 28.6 kyr, casting doubt on early reports that sea level was about 340 m between 28 and 31 kyr [2]. Further, our MIS 3 elevation data (374 to 385 m) are consistent with the lower end of the range of earlier work [32]. Because of the limited number of points, our data do not directly address the possibility that sea level may have reached higher values (e.g. 345 m [32,42,48]) at times during MIS 3. However, Chappell [48] has presented a high-resolution MIS 4/3 sea-level record based on both 230 Th ages and a model of terrace evolution. The lower range of his MIS 3 sea-level values agrees broadly with our three MIS 3 data. Thus, it is likely that MIS 3 sea level had a range of about 40 m, between about 345 and 385 m [48]. One of our more important results (two concordant Barbados samples having identical ages and sea levels) is the placement of sea level at 324 m, 76.2 kyr ago. This indicates that sea level was still relatively high several thousand years after the main peak of MIS 5a. The data constrain the timing of the end of MIS 5a and provide the starting point for calculation of the average rate of sea-level fall during the MIS 5^4 transition. Finally, the full data set allows us to calculate average rates of sea-level fall over four intervals: the transitions between MIS 5a and 4, 5e and 5d, 5c and 5b, and 3 and 2 (Fig. 5b, Table 2). The most rapid drop took place during the 5a^4 transition, when sea level fell at a rate of 10.6 8 0.1 m/ kyr averaged over 5400 yr. 5. Discussion 5.1. Implications for rates of ice-sheet growth In less than 6 kyr, during the steepest portion of the MIS 5a^4 transition, sea level dropped 57 m, nearly half of the glacial-maximum ice volume, broadly equivalent to the volume of today’s Antarctic ice sheet. This rate of sea-level fall equates to at least 18 cm/yr net ice accumulation on the continents, a minimum established by setting the accumulation area equal to the area covered by northern hemisphere ice sheets during the LGM [49] and assuming that mass loss due to ablation was negligible. By comparison, current gross accumulation rates average 30 cm/yr in Greenland [50]. However, the mass balance of this ice sheet is close to zero due to losses. Thus, to achieve a net ice accumulation rate of at least 18 cm/yr would require a dramatic increase in accumulation minus ablation rate, as compared to Greenland today. A number of conditions may have allowed rapid rates of net ice accumulation in the northern hemisphere. The terrain in North America and northern Eurasia is generally £at, increasing slightly in elevation from north to south at latitudes where ice-sheet genesis was likely. Low relief means a small drop in temperature would cause a large southward shift of the equilibrium line, allowing the area of accumulation to expand considerably. Because of the elevation lapse rate, the gradual southward rise in elevation would also counter some of the e¡ects of southward warming. Once snow accumulation began, its high albedo may have caused regional temperature lowering [51], reduced melting, and increased snow accumulation as warm, moist air masses [52] met this cold region. EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 In addition, concurrent solar insolation conditions may have facilitated rapid ice-sheet growth. All four sea-level drops took place when northern-hemisphere summer insolation values were at a minimum (Fig. 5a), favoring reduced melting. The drops also took place when northern-hemisphere winter insolation gradients and insolation values near the equator were at a maximum (Fig. 5a, insets). High insolation values favor greater sea-water evaporation and would potentially create a larger tropical moisture source, while high insolation gradients would promote e⁄cient transport and deposition of this moisture towards the north [52], promoting rapid ice-sheet growth. Notably, these observations support the assertion that long periods of time are required to reach maximum glaciation during the V100 kyr glacial cycles, not because ice-sheet growth is inherently slow, but because the conditions amenable to rapid glacial growth, i.e. speci¢c insolation characteristics, occur for only short periods of time [53]. Further, they indicate that models at least as sophisticated as the coupled ice^atmosphere^ocean models are needed to accurately simulate past icesheet dynamics. For example, 2-D ice-sheet models driven by high-resolution temperature reconstructions from 65 kyr to the LGM show relatively steady ice-sheet growth during this time [54]. Our results suggest that ice-sheet expansion is characterized by rapid intervals of growth and that at least one such interval occurred during this period. 5.2. Implications for deep-sea temperatures One of the classic problems in isotope geology and paleoclimatology has been the separation of the temperature and seawater oxygen isotope components of the marine oxygen isotope record. Given certain assumptions, these components can be resolved by analysis of sea-level and marine oxygen isotope records. This general approach has been applied by a number of researchers over the years, e.g. [8,55]. Two factors have changed since the earlier applications and lead us to apply this methodology to our record. First, our sea-level curve has certain advantages over earlier records because of our concordancy tests 265 and because portions of our curve had not been previously determined (e.g. early MIS 2 and late MIS 5a). Second, the oxygen isotopic composition of LGM seawater has been determined directly by analysis of marine pore £uids [56], providing a key constraint that was not previously available. Plots of our sea-level values versus benthic N18 O for Carnegie Ridge core V19-30 (3‡S, 83‡W, 3091 m) in the East Paci¢c [57] and for Ceara Rise core EW9209-1 (5‡N, 43‡W, 4056 m) in the equatorial Atlantic [58] are given in Fig. 6. The main data are a series of (sea-level)^(oxygen isotopic composition of foraminiferal calcite) data points derived from the (sea level)^(marine oxygen isotope) correlations in Fig. 5. The plots con¢rm signi¢cant deep-ocean temperature shifts subsequent to MIS 5e and during Termination I [54,32,59]. We established the amplitude of these shifts using the porewater data [60] and by assuming that average icesheet N18 O has remained constant with time. In addition, we established continuous temperature records since the last interglacial period using the relationships in Fig. 6. We assume that the mean isotopic composition of ice (N18 Oice ) was constant through time at the MIS 2 value of 330x, calculated from N18 Oice = 3vN18 Osw U(D3H)/H, where D is the average-ocean depth of 3790 m, H is the LGM to present sea-level change of 121 m [8], and vN18 Osw is the analogous change in the global average-seawater N18 O [56]. To test our constant N18 Oice assumption, we calculated how our reference line of seawater N18 O (Fig. 6) would change using extreme N18 Oice values of 320 and 340x. Because there is little ice during times of high sea level and because the average N18 O of ice during the LGM is constrained by the pore-water data, our reference line is best constrained during times of relatively high and relatively low sea level and not as well constrained during times of intermediate sea level. For MIS 5a and 5c, this range in N18 Oice allows less than 8 0.04x change in seawater N18 O, con¢rming that a major portion of the 5c^2 glacial residuals, at least 80% in V19-30 and 90% in EW9209-1, were due to temperature changes. For MIS 3, 4 and 5b, it is more di⁄cult to resolve temperature changes from N18 Oice changes. Nonetheless, at the Atlantic site, even EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart 266 K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 with the largest possible shift of 8 0.22x during MIS 4, deep waters experienced at least a 1.0‡C drop in temperature between MIS 5a and 4. Thus, the constant N18 Oice assumption is generally viable. The plots reveal that deep-sea temperatures at the Paci¢c site fell about 2‡C between MIS 5e and 5c (Fig. 7) and rose about 2‡C between MIS 2 and 1. Temperatures at the Atlantic site fell about 2‡C between MIS 5e and 5c and rose 3‡C between MIS 2 and 1. The deglacial temperature shifts are consistent with earlier work [56]. Within the glacial interval (between 5c and 2, inclusive), deepsea temperature fell about 0.6‡C at Carnegie Ridge and 2.5‡C at the Ceara Rise. The larger temperature signal at the Atlantic site is likely due to a combination of changes in the proportions of warmer northern and cooler southern source waters at the Ceara Rise (a process not expected at Carnegie Ridge), and to the cooling of high-latitude source waters. We ¢nd a strong linear relationship between sea level and the 5c^2 N18 O temperature residuals at both sites (Fig. 6); this correlation is signi¢cant and explains why the temperature curves maintain the structure of a standard ocean climate record. The sea-level component of the Carnegie Ridge and Ceara Rise cores are similar (Fig. 7), attesting to an e¡ective separation of deep-sea temperatures and ice volume. Small discrepancies may be caused by resolution di¡erences, local salinity changes, or inaccuracies in the relationships de¢ned in Fig. 6. Because Carnegie Ridge experienced smaller temperature changes and less water-mass mixing, the sea-level component of the Carnegie Ridge record likely re£ects sea-level history more accurately than that of the Ceara Rise record. The strength of our approach is the fact that we have a direct sea-level record. Thus, our calculated sea-level component for the oxygen isotope record can be viewed as an interpolation (given certain rules) between a relatively small number of well-established points on the sea-level curve. Our temperature records are reasonable in that they do not give temperatures below freezing and have some correlation with ice volume. Deep-sea records from the Atlantic and Paci¢c have been presented by Martin and others [61] (Mg/Ca thermometry applied to benthic forams) and Labyrie et al. [62] (separation of the temperature component of marine oxygen isotope records). Dwyer et al. [63] have reconstructed Atlantic deep-sea temperatures using Mg/Ca thermometry applied to ostracodes and Shackleton [64] has reconstructed Paci¢c deep-sea temperatures from the same foram oxygen isotope record that we have used. Three of the four Atlantic sites, including ours, are in the tropics or sub-tropics; the Dwyer et al. [63] site is north of the other sites (41‡N). Our record and the Labeyrie et al.[62] record agree very well. All four studies record similar glacial^ interglacial amplitudes of 3^4‡, all record large shifts in temperature immediately before and after interglacial periods, and all record smaller changes in temperature among the non-interglacial stages and sub-stages. Second-order di¡erences from our record and the Labeyrie et al. record include: (1) a lower MIS 4 temperature in the Martin et al. [61] record; (2) higher MIS 5c, 5b, and 5a temperatures in the Dwyer et al. [63] record; (3) generally larger amplitudes for high-frequency (corresponding to millennial-scale periods) temperature shifts in the Martin et al. [61] record and in the higher-resolution portions of the Dwyer et al. [63] record; and (4) a larger temperature drop in the Holocene in the Dwyer et al. [63] record. The three Paci¢c sites are essentially the same, with our analysis, the Labeyrie et al. [62] analysis, and the Shackleton [64] analysis using the same oxygen isotope data from the same core [57] and the Martin et al. study using data from a nearby core. Our record agrees in all major respects with the Labeyrie et al. [62] record, including a glacial^ interglacial amplitude of about 2‡, the largest temperature shifts before and after interglacial periods, and small temperature changes during the glacial and interstadial stages. As compared to our and Labeyrie et al.’s [62] records, the Martin et al. [61] record has lower temperatures during MIS 5d, 5b, and 4 and higher temperatures during the latter portion of MIS 6. The Shackleton [64] record has a larger glacial^interglacial amplitude in temperature, as well as larger temperature changes during the non-interglacial stages. Over- EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 267 Fig. 6. Sea level versus benthic N18 O for Carnegie Ridge core V19-30 [59] (closed triangles) and Ceara Rise core EW9209-1 [60] (closed squares). Tie points (correlations) between isotope and sea-level records are from Fig. 5. Linear correlations are found within glacial stages (solid lines; regression line for V19-30 is: Sea level (m) = 3102.7(N18 O)+393.6, R2 = 0.99 and for EW9209-1 is: Sea level (m) = 375.8(N18 O)+203.9, R2 = 0.99) and within the interglacial stages (dashed lines). Open symbols represent calcite LGM N18 O values calculated presuming no LGM to modern temperature shift: for Carnegie Ridge, we used an LGM to presentday shift in seawater N18 O of 1.0x [60] and for the Ceara Rise, we used a shift of 0.9x (this is 0.1x higher than the measured value [56], adjusting for the 1000 m depth di¡erence between the pore £uid and EW9209-1 sites and the higher proportion of southern source waters at the deeper EW9209-1 site). The heavy dotted lines between MIS 1 and the pore-water results are reference sea-level^N18 O relationships at each site, assuming the mean isotopic composition of ice (N18 Oice ) has remained constant through time at the MIS 2 value of 330x [56]. Double-headed arrows correspond to the error in the reference line induced by a 320 to 340x range in N18 Oice at several isotopic stages. Parallel lightly dotted lines are 1‡C increments of deep-ocean cooling relative to the reference lines, based on a N18 O^temperature relationship of 34.0‡C/x [67]. For individual data, the deep-sea temperature shift relative to modern can be read directly by comparing a datum to the dotted temperature contours. When making this comparison, the main assumption is the constant average N18 O value of ice. Possible errors in this assumption (indicated by the double-headed arrows) are small for high sea levels because additional ice (beyond the modern volume) is small. The error at the LGM is also small because the value is ¢xed by the pore-£uid datum. The largest errors are for intermediate sea levels. Even considering errors, none of the data (other than MIS 1) plot on the dotted lines, indicating signi¢cant deep-sea temperature change at both localities. If we make a second assumption, that intermediate values between the actual data plot on the regression (solid and dashed) lines, we can calculate the temperature component for all of both time series from the di¡erence in N18 O between the reference lines (heavy dotted) and regression lines (solid and dashed). This assumption appears to be robust on the basis of high correlation coe⁄cients for the regressions; however, there may be speci¢c times when this relationship does not hold (e.g. possible decoupling of temperature and sea level during Termination II [65]). Temperature history calculated from these relationships is shown in Fig. 7, along with sea level calculated from the residual. all, there are substantial areas of agreement, particularly for the Atlantic records. There are also clear discrepancies, particularly for the Paci¢c. Ultimately, the strength and weakness of our approach lie with the regression lines in Fig. 6. There may be speci¢c times for which the regres- sions do not hold. For example, there is some indication that sea level and temperature were decoupled for an interval during Termination II, with sea level lagging temperature rise [65]. On the other hand, for times for which the regression lines are valid or if the regression lines de¢ne gen- EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart 268 K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 Fig. 7. Benthic N18 O records for (a) Carnegie Ridge and (b) Ceara Rise separated into temperature and sea-level components. Separation assumes all glacial and interglacial values follow the relationships given by solid and dashed lines in Fig. 6, sea water N18 O follows the slope of the dotted lines in Fig. 6, and that correlations between the deep-sea oxygen isotope and sea-level records are accurate (Fig. 5). Ages for each record were adjusted to match the absolute chronology of the sea-level record, using tie points at MIS 2, 3, 4, 5a, 5b, 5c, 5e and the 135 kyr peak (Fig. 5). eral phenomena (as implied by the high R2 values), the approach is powerful. 6. Conclusion We have used high-precision 231 Pa dating methods as an independent check on the accuracy of coral 230 Th ages. We applied this test, along with traditional methods for detecting diagenesis, to new and existing coral data to establish a sea-level curve for times since the last interglacial period. This curve is characterized by a relatively small number of robust points, particularly for MIS 3, 5c, and 5d, illustrating the need for continued work in this ¢eld. Nevertheless, the curve in its present form places important constraints on the timing, rates, and causes of sea-level change over speci¢c time intervals. We place constraints on the rate and extent of continental glaciation during the MIS 5a^4 transition, raising new questions about climatic conditions during glacial advances. In addition, our ¢ndings, combined with porewater data, provide estimates of the temperature and the ice volume components of deep-sea N18 O records. Continued careful consideration of coral diagenesis and age accuracy will be an integral part of future work aimed at increasing the resolution of the sea-level record. Acknowledgements We thank J. Chappell for scienti¢c discussions around tropical camp¢res, helping initiate this project, and facilitating the ¢eld work and drilling on the Huon Peninsula; J. Ho¡ and D.A. Richards for laboratory assistance ; C.R. Bentley and J.A. Dorale for informative discussions ; R.G. Johnson, E. Wallensky, G.R. Min, J.W. Beck, and the 1988 PNG ¢eld team for sample collection e¡orts; and D. Lea and two anonymous reviewers for constructive criticisms that improved the manuscript considerably. Supported by NSF Grants ESH-9809459, EAR-9712037, and ARI9512334 to R.L.E. K.B.C. was supported by NSF-sponsored grants for Geo£uids Research (to M. Person) and Research Training (to M. Da- EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 vis), and the Doctoral Dissertation Fellowship (University of Minnesota).[BARD] References [15] [16] [1] W.S. Broecker, D.L. Thurber, J. Goddard, T.L. Ku, R.K. Matthews, K.J. Mesollela, Milankovitch hypothesis supported by precise dating of coral reefs and deep sea sediments, Science 159 (1968) 297^300. [2] A.L. Bloom, W.A. Broecker, J.M.A. Chappell, R.K. Matthews, K.J. Mesolella, Quaternary sea level £uctuations on a tectonic coast: new 230 Th/234 U dates from the Huon Peninsula, New Guinea, Quat. Res. 4 (1974) 185^ 205. [3] R.L. Edwards, J.H. Chen, G.J. Wasserburg, 238 U-234 U230 Th-232 Th systematics and the precise measurement of time over the past 500,000 years, Earth Planet. Sci. Lett. 81 (1987) 175^192. [4] R.L. Edwards, J.H. Chen, T.L. Ku, G.J. Wasserburg, Precise timing of the last interglacial period from mass spectrometric determination of 230 Th in corals, Science 236 (1987) 1547^1553. [5] R.L. Edwards, High precision thorium-230 ages of corals and the timing of sea level £uctuations in the late Quaternary, California Institute of Technology (1988). [6] D.A. Pickett, M.T. Murrell, R.W. Williams, Determination of femtogram quantities of protactinium in geologic samples by thermal ionization mass spectrometry, Anal. Chem. 66 (1994) 1044^1049. [7] R.L. Edwards, H. Cheng, M.T. Murrell, S.J. Goldstein, Protactinium-231 dating of carbonates by thermal ionization mass spectrometry; implications for Quaternary climate change, Science 276 (1997) 782^786. [8] R.G. Fairbanks, A 17,000-year glacio-eustatic sea level record in£uence of glacial melting rates on the Younger Dryas event and deep-ocean circulation, Nature 342 (1989) 637^642. [9] J.M.A. Chappell, H.A. Polach, Postglacial sea level rise from a coral record at Huon Peninsula, Papua New Guinea, Nature 349 (1991) 137^140. [10] R.L. Edwards et al., A large drop in atmospheric 14 C/12 C and reduced melting in the Younger Dryas, documented with 230 Th ages of corals, Science 260 (1993) 962^ 968. [11] J. Chappell, Geology of coral terraces, Huon Peninsula, New Guinea: A study of Quaternary tectonic movements and sea-level changes, Bull. Geol. Soc. Am. 85 (1974) 553^570. [12] K.J. Mesollela, R.K. Matthews, W.S. Broecker, D.L. Thurber, The astronomical theory of climate change: Barbados data, J. Geol. 77 (1969) 250^274. [13] K.J. Mesollela, The uplifted reefs of Barbados: physical stratigraphy, facies relationships, and absolute chronology. Ph.D. Dissertation, Brown University, 1968. [14] C.D. Gallup, R.L. Edwards, R.G. Johnson, The timing of [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] 269 high sea levels over the past 200,000 years, Science 263 (1994) 796^800. M. Stein et al., TIMS U-series dating and stable isotopes of the last interglacial event in Papua New Guinea, Geochim. Cosmochim. Acta 57 (1993) 2541^2554. Y. Ota et al., Holocene coral reef terraces and coseismic uplift of Huon Peninsula, Papua New Guinea, Quat. Res. 40 (1993) 177^188. J. Chappell, Y. Ota, K. Berryman, in: Y. Oto (Ed.), Study on Coral Reef Terraces of the Huon Peninsula, Papua New Guinea, Geogr. Dept., Senshu Univ., Kawasaki, Japan, 1994. J. Pandol¢, J. Chappell, in: Y. Oto (Ed.), Study on Coral Reef Terraces of the Huon Peninsula, Papua New Guinea, Geogr. Dept., Senshu Univ., Kawasaki, Japan, 1994. M.L. Bender, R.G. Fairbanks, F.W. Taylor, R.K. Matthews, J.G. Goddard, W.S. Broecker, Uranium series dating of the Pleistocene reef tracts of Barbados, West Indies, Bull. Geol. Soc. Am. 90 (1979) 577^594. K.J. Mesolella, Zonation of uplifted Pleistocene coral reefs on Barbados, West Indies, Science 156 (1967) 638^ 640. J.H. Chen, G.J. Wasserburg, A search for isotopic anomalies in uranium, Geophys. Res. Lett. 7 (1980) 275^278. H. Cheng et al., The half-lives of uranium-234 and thorium-230, Chem. Geol. 169 (2000) 17^33. W.S. Broecker, A preliminary evaluation of uranium series inequilibrium as a tool for absolute age measurement on marine carbonates, J. Geophys. Res. 68 (1963) 2817^ 2834. T.L. Ku, Protactinium 231 method of dating coral from Barbados Island, J. Geophys. Res. 73 (1968) 2271^ 2276. A.H. Ja¡rey, K.F. Flynn, L.E. Glendenin, W.C. Bentley, A.M. Essling, Precision measurement of half-lives and speci¢c activities of 235 U and 238 U, Phys. Rev. C 4 (1971) 1889^1906. J. Robert, C.F. Miranda, R. Muxart, Mesure de la pe¤riode du protactinium-231 par microcalorime¤trie, Radiochim. Acta 11 (1969) 104^108. H. Cheng, R.L. Edwards, M.T. Murrell, T.M. Benjamin, The systematics of uranium-thorium-protactinium dating, Geochem. Cosmochim. Acta 62 (1998) 3437^3452. E. Bard, B. Hamelin, R.G. Fairbanks, U-Th ages obtained by mass spectrometry in corals from Barbados; sea level during the past 130,000 years, Nature 346 (1990) 456^458. K.R. Ludwig, D.R. Muhs, K.R. Simmons, R.B. Halley, E.A. Shinn, Sea-level records at approximately 80 ka from tectonically stable platforms; Florida and Bermuda, Geology 24 (1996) 211^214. E. Bard, B. Hamelin, R.G. Fairbanks, A. Zindler, Calibration of the 14 C timescale over the past 30,000 years using mass spectrometric U-Th ages from Barbados corals, Nature 345 (1990) 405^410. E. Bard et al., Deglacial sea-level record from Tahiti cor- EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart 270 [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 als and the timing of global meltwater discharge, Nature 382 (1996) 241^244. J. Chappell et al., Reconciliation of late Quaternary sea levels derived from coral terraces at Huon Peninsula with deep sea oxygen isotope records, Earth Planet. Sci. Lett. 141 (1996) 227^236. L.B. Collins et al., Late Quaternary evolution of coral reefs on a cool-water carbonate margin; the Abrolhos carbonate platforms, Southwest Australia, Mar. Geol. 110 (1993) 203^212. L.B. Collins et al., Holocene growth history of a reef complex on a cool-water carbonate margin; Easter Group of the Houtman Abrolhos, eastern Indian Ocean, Mar. Geol. 115 (1993) 29^46. T.M. Esat, M.T. McCulloch, J. Chappell, B. Pillans, A. Omura, Rapid £uctuations in sea level recorded at Huon Peninsula during the penultimate deglaciation, Science 283 (1999) 197^201. B.J. Szabo, K.R. Ludwig, D.R. Muhs, K.R. Simmons, Thorium-230 ages of corals and duration of the last interglacial sea-level high stand on Oahu, Hawaii, Science 266 (1994) 93^96. C.H. Stirling, T.M. Esat, M.T. McCulloch, K. Lambeck, High-precision U-series dating of corals from Western Australia and implications for the timing and duration of the last interglacial, Earth Planet. Sci. Lett. 135 (1995) 115^130. C.H. Stirling, T.M. Esat, K. Lambeck, M.T. McCulloch, Timing and duration of the last interglacial; evidence for a restricted interval of widespread coral reef growth, Earth Planet. Sci. Lett. 160 (1998) 745^762. J.H. Chen, H.A. Curran, B. White, G.J. Wasserburg, Precise chronology of the last interglacial period; 234 U-230 Th data from fossil coral reefs in the Bahamas, Geol. Soc. Am. Bull. 103 (1991) 82^97. Y. Yokoyama, T.M. Esat, K. Lambeck, Coupled climate and sea-level changes deduced from Huon Peninsula coral terraces of the last ice age, Earth Planet. Sci. Lett. 193 (2001) 579^587. M.A. Toscano, J. Lundberg, Submerged late Pleistocene reefs on the tectonically-stable S.E. Florida margin: highprecision geochronology, stratigraphy, resolution of Substage 5a sea-level elevation, and orbital forcing, Quat. Sci. Rev. 18 (1999) 753^767. G. Cabioch, L.K. Ayli¡e, Raised coral terraces at Malakula, Vanuatu, southwest Paci¢c, indicate high sea level during Marine Isotope Stage 3, Quat. Res. 56 (2001) 357^ 365. C.H. Stirling, T.M. Esat, K. Lambeck, M.T. McCullock, S.G. Blake, D.-C. Lee, A.N. Hallida, Orbital forcing of the marine isotope stage 9 interglacial, Science 291 (2001) 290^293. M. Lounsbury, R.W. Durham, in: M.L. Hurrell (Ed.), Proc. Int. Conf. Chem. Nucl. Data, Measurement and Applications, Canterbury, Inst. Civil Engineers, London, 1971, pp. 215^219. P. De Bievre et al., ibid., pp. 221^225. [46] C.D. Gallup, H. Cheng, F.W. Taylor, R.L. Edwards, Direct determination of the timing of sea level change during Termination II, Science 295 (2002) 310^313. [47] W.R. Peltier, Ice age paleotopography, Science 265 (1994) 195^201. [48] J. Chappell, Sea level changes forced ice breakouts in the Last Glacial cycle: new results from coral terraces, Quat. Sci. Rev. 21 (2002) 1229^1240. [49] P.U. Clark, J.S. Walder, Subglacial drainage, eskers, and deforming beds beneath the Laurentide and Eurasian ice sheets, Geol. Soc. Am. Bull. 106 (1994) 304^314. [50] A. Ohmura, N. Reeh, New precipitation and accumulation maps for Greenland, J. Glaciol. 37 (1991) 140^ 148. [51] L.D. Williams, An energy balance model of potential glacierization of northern Canada, Arch. Alp. Res. 11 (1979) 443^456. [52] W.F. Ruddiman, A. McIntyre, V. Niebler-Hunt, J.T. Durazzi, Oceanic evidence for the mechanism of rapid northern hemisphere glaciation, Quat. Res. 13 (1980) 33^64. [53] M.E. Raymo, The timing of major climate terminations, Paleoceanography 12 (1997) 577^585. [54] P.M. Cutler, D.M. Mickelson, P.M. Colgan, D.R. MacAyeal, B.R. Parizek, In£uence of the Great Lakes on the dynamics of the southern Laurentide ice sheet: Numerical experiments, Geology 29 (2001) 1039^1042. [55] J. Chappell, N.J. Shackleton, Oxygen isotopes and sea level, Nature 324 (1986) 137^140. [56] D.P. Schrag, G. Hampt, D.W. Murray, Pore £uid constraints on the temperature and oxygen isotopic composition of the glacial ocean, Science 272 (1996) 1930^1932. [57] N.J. Shackleton, J. Imbrie, M.A. Hall, Oxygen and carbon isotope record of East Paci¢c core V19-30: implications for the formation of deep water in the late Pleistocene North Atlantic, Earth Planet. Sci. Lett. 65 (1983) 233^244. [58] W.B. Curry, D.W. Oppo, Synchronous, high-frequency oscillations in tropical sea surface temperatures and North Atlantic Deep Water production during the last glacial cycle, Paleoceanography 12 (1997) 1^14. [59] N.J. Shackleton, Oxygen isotopes, ice volume and sea level, Quat. Sci. Rev. 6 (1987) 183^190. [60] J.F. Adkins, D.P. Schrag, Pore £uid constraints on past deep-ocean temperature and salinity, Geophys. Res. Lett. 28 (2001) 771^774. [61] P.A. Martin, D.W. Lea, Y. Rosenthal, N.J. Shackleton, M. Sarnthein, T. Papenfuss, Quaternary deep sea temperature histories derived from benthic foraminiferal Mg/Ca, Earth Planet. Sci. Lett. 198 (2002) 193^209. [62] L.D. Labeyrie, J.C. Duplessy, P.L. Blanc, Variations in mode of formation and temperature of oceanic deep waters over the past 125,000 years, Nature 327 (1987) 477^482. [63] G.S. Dwyer, T.M. Cronin, P.A. Baker, M.E. Raymo, J.S. Buzas, T. Correge, North Atlantic deepwater temperature change during late Pliocene and late Quaternary climatic cycles, Science 270 (1995) 1347^1351. EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart K.B. Cutler et al. / Earth and Planetary Science Letters 206 (2003) 253^271 [64] N.J. Shackleton, The 100,000-year ice age cycle identi¢ed and found to lag temperature, carbon dioxide and orbital eccentricity, Science 289 (2000) 1897^1902. [65] D.W. Lea, D.K. Pak, H.J. Spero, Climate impact of late Quaternary equatorial Paci¢c sea surface temperature variations, Science 289 (2000) 1719^1724. 271 [66] A. Berger, Long-term variations of caloric insolation resulting from the Earth’s orbital elements, Quat. Res. 9 (1978) 139^167. [67] S.-T. Kim, J.R. O’Neil, Equilibrium and nonequilibrium oxygen isotope e¡ects in synthetic carbonates, Geochim. Cosmochim. Acta 61 (1997) 3461^3475. EPSL 6514 22-1-03 Cyaan Magenta Geel Zwart