Motion of Nubia relative to Antarctica since 11 Ma: Implications for Nubia-Somalia, Pacific–North America, and India-Eurasia motion Jean-Yves Royer Centre National de la Recherche Scientifique–Université de Bretagne Occidentale Domaines Océaniques, Institut Universitaire Européen de la Mer, Place Copernic, 29280 Plouzané, France Richard G. Gordon Benjamin C. Horner-Johnson Department of Earth Science, Rice University, Houston, Texas 77005, USA ABSTRACT Recent estimates of the rotation between Nubia and Somalia have resulted in disparate poles of rotation for the motion since 3.16 Ma (southwest of South Africa) compared with that since 11.03 Ma (near the east tip of Brazil). Here we use magnetic anomaly profiles unavailable in prior Nubia-Antarctica motion studies to significantly revise the estimate of the rotation between Nubia and Antarctica since 11.03 Ma. We use this newly estimated rotation to construct revised estimates of Nubia-Somalia, Pacific–North America, and India-Eurasia motion. The new Nubia-Somalia rotation indicates substantial displacement of Somalia relative to Nubia over the past 11.03 m.y.: 129 ! 62 km extensional, 90 ! 42 km right-lateral transtensional, and 52 ! 21 km right-lateral transtensional near the northern extremity of the East African Rift, the northern Mozambique Basin, and the Andrew Bain Fracture Zone complex, respectively. The substantial rotation between Nubia and Somalia implies that prior plate motion estimates based on a circuit through Africa are biased by 60–85 km at 11.03 Ma and perhaps by much more for earlier reconstructions. Our results imply that India-Eurasia motion since 11.03 Ma has been !12% (!5 mm yr"1) slower than, and !20# clockwise of, estimates that neglect Nubia-Somalia motion. Our results further imply that Pacific–North America displacement since 11.03 Ma has been 5#–10# clockwise of prior estimates and require 58–75 km less extensional displacement across the Basin and Range since 11.03 Ma than inferred before. Keywords: Nubia-Somalia motion, Southwest Indian Ridge, Pacific–North America motion, India-Eurasia motion. INTRODUCTION Although the relative motions between Africa and Antarctica have long been studied (e.g., Le Pichon and Heirtzler, 1968; McKenzie and Sclater, 1971), it has only recently been possible to resolve the difference between Nubia (West Africa)-Antarctica and Somalia (East Africa)-Antarctica motions. DeMets et al. (1988) showed that the data then available along the Southwest Indian Ridge could not resolve distinct Nubia-Antarctica and Somalia-Antarctica motion, although they could not exclude it. Jestin et al. (1994) confirmed this result and, following DeMets et al. (1990), speculated that the Nubia-Somalia boundary intersected the Southwest Indian Ridge. Jestin et al. (1994) further estimated the angular velocity of Nubia relative to Somalia by combining data from the Red Sea, Gulf of Aden, and Southwest Indian Ridge, while assuming that the Nubia-Somalia boundary intersects the Southwest Indian Ridge near 30"E. Using updated transform fault azimuths and a greatly expanded set of 3-m.y.-averaged spreading rates along the Southwest Indian Ridge, Chu and Gordon (1999) were the first to show that data along the Southwest Indian Ridge required the existence of distinct Nubian and Somalian plates. Fitting magnetic anomaly and fracture zone crossings also shows that the flanks of the Southwest Indian Ridge record the motion of two distinct plates, Nubia and Somalia, relative to the Antarctic plate (Lemaux et al., 2002). Surprisingly, however, prior estimates of the rotation between Nubia and Somalia have resulted in disparate poles of rotation for the motion since 3.16 Ma compared with that since 11.03 Ma, with the pole since 3.16 Ma being southwest of South Africa (Horner-Johnson et al., 2005) and the pole since 11.03 Ma being near the east tip of Brazil (Lemaux et al., 2002). Here we use new profiles collected along the western part of the Southwest Indian Ridge (Ligi et al., 1999) to improve the estimate of NubiaAntarctica relative motion since the old end of chron 5, denoted as chron 5o herein. More specifically, we fit the part of the anomaly corresponding to chron 5n.2o, which is 11.03 Ma according to the astronomically calibrated reversal time scale of Abdul Aziz et al. (2003). Here we also explore the implication of this revised reconstruction for the motion estimated between the Nubian and Somalian plates across the East African Rift system, for the motion estimated between the Pacific and North American plates, and for the motion estimated between the Indian and Eurasian plates. DATA The Nubia-Antarctica plate boundary is bounded on the west by the Bouvet triple junction (BTJ), where the Southwest Indian Ridge meets the southern Mid-Atlantic Ridge and the South American–Antarctic Ridge (Fig. 1); it is bounded on the east by the Andrew Bain Fracture Zone (FZ) complex (Fig. 2), composed of a series of large transform offsets that appear to be within or near the NubiaSomalia-Antarctica triple junction (Chu and Gordon, 1999; Horner-Johnson et al., 2005; Lemaux et al., 2002). Between the BTJ and Andrew Bain FZ complex, the Southwest In- Figure 1. Locations of plates and plate boundaries. Simplified location of boundary assumed between Nubia and Somalia is shown by dashed line. Rectangles show locations of Figures 2 and 4. ! 2006 Geological Society of America. For permission to copy, contact Copyright Permissions, GSA, or [email protected]. Geology; June 2006; v. 34; no. 6; p. 501–504; doi: 10.1130/G22463.1; 5 figures. 501 Figure 2. Crossings of old edge of magnetic anomaly 5 flanking western Southwest Indian Ridge (solid line) are displayed on map showing shaded relief of satellite-derived gravity from Sandwell and Smith (1997). Black-filled circles show locations of magnetic anomaly crossings. White-filled circles show locations of crossings after reconstruction about our new best-fitting Nubia-Antarctica rotation (2.134# at 6.32#S, 30.51#W with covariance matrix: $xx % 5.263, $xy % 2.011, $xz % "6.344, $yy % 8.676, $yz % "2.134, and $zz % 9.226 in units of 10"6 steradians). Magnetic profiles containing many of these anomaly crossings are shown in figures of Horner-Johnson et al. (2005). dian Ridge extends over 2000 km with only 5 ridge segments (Fig. 2). Due to the slow spreading rates (#16 mm yr$1 full rate) prevailing since 40 Ma, the large transform offsets along the Southwest Indian Ridge imply large age offsets across them, and FZ trends may be overprinted by changes in the direction of plate motion. New profiles collected across the westernmost segments of the Southwest Indian Ridge (Ligi et al., 1999) help in reinterpreting celestially navigated profiles (e.g., R/V Conrad, 1971; R/V Chain, 1974; R/V RSA, 1975) used by Lemaux et al. (2002). The new data lead to a new interpretation of paleoridge segmentation along the westernmost portion of the Southwest Indian Ridge, including identification of a fracture zone unrecognized by Lemaux et al. (2002). Moreover, systematic reidentification of anomaly 2A (Horner-Johnson et al., 2005) and other anomalies up to anomaly 6 along the Southwest Indian Ridge also lead to self-consistent mapping of magnetic lineations, which include further minor changes in prior identifications of anomaly 5. We selected 58 magnetic crossings along 6 conjugate segments (vs. 60 crossings along 9 conjugate segments; Lemaux et al., 2002). Magnetic crossings were assigned a 1% uncertainty of 4 km. NUBIA-ANTARCTICA MOTION Inversion of the new set of crossings of anomaly 5o leads to several improvements. First, the favorable distribution and geometry of the magnetic crossings do not require any fracture zone crossings to constrain the fit, thus avoiding potential systematic bias due to the complex fracture pattern. Second, the new Nubia-Antarctica rotation pole moves !30" to 502 the southeast, closer to the Southwest Indian Ridge (Fig. 3). The rotation pole for chron 5o is now close to the recently revised pole for chron 2A (Horner-Johnson et al., 2005). Third, when the new Nubia-Antarctica rotation is used to rotate crossings east of the Andrew Bain FZ, i.e., those crossings believed to record motion between Somalia and Antarctica, the gap in crossings thus reconstructed is larger than found before (42 & 13 km found here vs. 23 & 6 km found by Lemaux et al., 2002; Fig. 4). The size of this gap indicates an average rate of !4 mm yr$1 in the ridgeperpendicular component of Nubia-Somalia displacement near the Southwest Indian Ridge. This displacement corresponds to right-lateral shearing along roughly NNESSW-striking fracture zones. That the data are well fit by a single Somalia-Antarctic rotation everywhere east of the Andrew Bain FZ complex is consistent with the Somalia-Antarctica plate boundary continuing at least as far west as the Andrew Bain FZ complex. The lack of conjugate magnetic data between the Andrew Bain FZ complex and the Du Toit FZ, however, makes it impossible to determine whether NubianAntarctic or Somalian-Antarctic plate motion is recorded there, although we suspect the former. West of the Du Toit FZ, the data are well fit as part of the Nubia-Antarctica plate boundary as indicated for the past 3.16 m.y. (Horner-Johnson et al., 2005), and poorly fit if assumed to be part of the SomaliaAntarctica plate boundary. IMPLICATIONS FOR NUBIA-SOMALIA MOTION The effect of the new Nubia-Antarctica rotation is even more striking when it is com- bined with the chron 5o Somalia-Antarctica rotation of Lemaux et al. (2002). The resulting Nubia-Somalia rotation pole moves from near the east tip of Brazil to !5" northeast of the BTJ (Fig. 3). The uncertainty region of our new 11.03 Ma pole includes, and differs insignificantly from, a new pole for the past 3.16 m.y. (Horner-Johnson et al., 2005). The new 3.16 Ma pole, in turn, is far southwest of Chu and Gordon’s (1999) 3.16 Ma pole (Fig. 3). Extensional displacements of 129 & 62 km, 90 & 42 km, and 52 & 21 km are predicted for the past 11.03 m.y. near the northern extremity of the East African Rift, the northern Mozambique Basin, and the Andrew Bain FZ complex, respectively (Fig. 3). Extension becomes increasingly oblique, with a large rightlateral component of shearing, as the NubiaSomalia boundary approaches the Southwest Indian Ridge. The corresponding opening rates, 12 & 6 mm yr$1, 8 & 4 mm yr$1, and 5 & 2 mm yr$1, are comparable, respectively, to the rates over the past 3.16 m.y. of 8 & 3 mm yr$1, 6 & 2 mm yr$1, and 4 & 1 mm yr$1 indicated by the angular velocity of HornerJohnson et al. (2005). Within uncertainties, our predicted rates are also compatible with velocities estimated from space geodesy (from 7 mm yr$1 in the Ethiopian Rift to 2 mm yr$1 closer to the Nubia-Somalia-Antarctica triple junction; e.g., synthesis of Fernandes et al., 2004). IMPLICATIONS FOR COMPLEX PLATE CIRCUITS Africa-Antarctica motion is a critical link in global plate motion circuits. For example, Pacific–North America relative motions are generally estimated by summing motions across the central Mid-Atlantic Ridge, the GEOLOGY, June 2006 Figure 4. Reconstructions of magnetic crossings located east of Andrew Bain Fracture Zone (FZ) complex: crossings are well fit if assumed to record Somalia-Antarctica motion but very poorly fit if assumed to record Nubia-Antarctica motion. Symbols: black-filled circles—unrotated crossings of magnetic anomaly 5o; white-filled triangles—crossings rotated by best-fitting Somalian-Antarctic rotation for chron 5 (Lemaux et al., 2002); white-filled squares— crossings rotated by best-fitting NubianAntarctic rotation since 11.03 Ma found here (Fig. 2). Figure 3. Top: Displacements (and 95% confidence ellipsoids) going forward in time of selected points on Somalian (Som) plate relative to Nubian (Nub) plate. Longer arrows with large arrowheads show displacement since 11.03 Ma determined in this paper; shorter arrows with small arrowheads are displacements since 3.16 Ma (Horner-Johnson et al., 2005). Bottom: Poles of rotation. Pole uncertainty regions are projections of three-dimensional 95% confidence regions for rotations. Squares are Nubia-Antarctic (Ant) poles of rotation and circles are Nubia-Somalia poles of rotation estimated for chrons 2A and 5o. Revised estimate of Nubia-Somalia rotation since 11.03 Ma is 1.268# at 50.33#S, 6.43#E with covariance matrix: $xx % 5.264, $xy % 2.070, $xz % "6.400, $yy % 1.076, $yz % "2.152, and $zz % 9.788 in units of 10"6 steradians. Chron 2A poles from Chu and Gordon (1999; CG, triangle) and from Jestin et al. (1994; stars: JHG-bf best-fitting, JHG-4p 4-plate solution) are shown for comparison. Small rectangles labeled A, B, and C show locations of upper panels. Southwest Indian Ridge, and the PacificAntarctic Rise. For example, Atwater and Stock’s (1998) estimates of Pacific–North America relative motion do not rely on actual Nubia-Antarctica motions, but on SomaliaAntarctica motions (i.e., data east of the Andrew Bain FZ complex from Royer and Chang, 1991). Wilson et al. (2005) estimated Pacific–North America relative motion using the Nubia-Antarctica rotations of Chu and Gordon (1999) and Lemaux et al. (2002). Figure 5 illustrates the effect of using our new 11.03 Ma Nubia-Antarctica rotation on estimates of Pacific–North America motion. The results of different Pacific–North American estimates are shown, differing only in the ‘‘Africa’’-Antarctica rotation used. One result GEOLOGY, June 2006 (labeled A in Fig. 5) uses the rotation of Royer and Chang (1991), which is effectively a Somalia-Antarctica rotation because of the near absence of data west of the Andrew Bain FZ. A second result (labeled B) uses the Nubia-Antarctica rotation of Lemaux et al. (2002), which we now know has incorrect correlations at the western end of the Southwest Indian Ridge. The third result (labeled C) uses our newly estimated Nubia-Antarctica rotation. Although the first and second results do not differ significantly, the first and third differ by a significant 85 & 47 km. We also compare results from Wilson et al.’s (2005) original model (labeled W) and from the same model updated with our revised NubiaAntarctica link (labeled Wcorr). The point re- constructed at 11.03 Ma is shifted by 60 km to the SW. This result indicates that previously published estimates of Pacific–North America displacement contain a bias that is several times the size of the previously published formal uncertainty (!&20 km). Our new reconstruction indicates substantially less overlap between the Pacific plate and the North American plate than found before. Such overlap was used by Atwater and Stock (1998) and Wilson et al. (2005) to infer lower bounds on amounts of extensional displacement in the Basin and Range Province in the western United States. Our results indicate that the true lower bounds at 11.03 Ma are 58–75 km smaller than found by them. Similarly, India-Eurasia relative motion is traditionally estimated by summing motions across the northern Mid-Atlantic Ridge, the central Mid-Atlantic Ridge, the Southwest Indian Ridge, and the Southeast Indian Ridge, again neglecting the rotation between Nubia and Somalia. Even if a circuit uses a shortcut across the Carlsberg Ridge to bypass the deformation of the equatorial Indian Ocean, the India-Eurasia motions generally neglect the motions across the East African Rift (e.g., 503 Figure 5. Implications of new Nubia-Antarctica rotation on global plate circuits. Left: Track of Pacific plate (Pac) relative to North America (Nam). Tracks A, B, and C (circle symbols) are based on same rotations for North America–Nubia link (Müller et al., 1999) and Antarctica-Pacific link (Cande et al., 1995) (updated by J. Stock, 1998, personal commun.). They differ only in rotation used for Nubia-Antarctica link: track A uses chron 5 rotation from Royer and Chang (1991); track B uses chron 2A rotation from Chu and Gordon (1999) and chron 5 rotation from Lemaux et al. (2002); track C uses chron 2A rotation from Horner-Johnson et al. (2005) and our new chron 5o rotation. Track W (dashed line and closed triangles) is built with supplemental rotation table of Wilson et al. (2005), which describes whole plate circuit; in track Wcorr (open triangles), we modify only NubiaAntarctica link with rotations used in track C. Track C and Wcorr are remarkably similar; small differences in rate result from slightly differing rotations for North America–Nubia link. Right: Tracks of point from India-Eurasia (Ind-Eur) suture zone relative to Eurasian plate. Each track combines same Eurasia-Nubia rotations (J.-Y. Royer, 2004, personal commun.) and same Somalia-India rotations (DeMets et al., 2005). Track A assumes no motion across East African Rift, whereas track B includes chron 2A Nubia-Somalia rotation from Horner-Johnson et al. (2005) and our new chron 5o rotation. Ellipses on both panels show resulting combined 95% uncertainty region for reconstructed points. NUVEL-1; DeMets et al., 1990). In Figure 5, one reconstruction assumes no motion along the East African Rift; the other reconstruction includes our new estimate of Nubia-Somalia relative motion. The latter indicates motions of India relative to Eurasia since chron 5 that are slower than (35 & 2 vs. 40 & 1 mm yr$1), and !20" clockwise of, those in the former. Therefore our revised reconstruction along the western Southwest Indian Ridge leads to substantial and important revisions in estimates of both Pacific–North America motion and India-Eurasia motion. The next step (our current investigation) is the determination of Nubia-Antarctica reconstructions further back in time. ACKNOWLEDGMENTS We thank J. Stock, C. 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