1 Geomorphological and geochemical evidence (sediment 230Th anomalies) for cross-equatorial currents in the central Pacific Neil C. Mitchell1 and John M. Huthnance2 1 School of Earth, Atmospheric and Planetary Sciences, University of Manchester, Manchester M13 9PL, UK 2National Oceanography Centre, Joseph Proudman building, 6 Brownlow Street, Liverpool L3 5DA, UK For correspondence: neil.mitchell@manchester.ac.uk Keywords: sediment focusing, bottom Ekman layer, bottom boundary layer, sediment furrows Abstract Shallow broad elongated sediment depressions and ridges are revealed in multibeam echo-sounder data collected over the carbonate ooze in the central equatorial Pacific. These features, otherwise called "furrows", have orientations that appear locally distorted by seabed topography as expected of contourtrending currents but at regional scale typically cross contours at high angles. In places, complex patterns suggest that formative currents have a strong timevarying component. From direction indicators, the movement of bottom waters is north to south on average, though with some movement locally south to north. There is a modest 18˚ average change in orientation crossing from north to south of the equator, with features to the south oriented clockwise of those to the north. This is as expected for a partly developed bottom Ekman layer, with currents in the layer deflected by the Coriolis effect with opposing senses either side of the equator. The features are less prominent on and immediately south of the equator. We evaluated these observations along with reported 230Th accumulation rates in sediment cores., which are curiously enhanced along the 2 equator, an observation that has been previously interpreted as suggesting transport of 230Th bound to particles to the equator. Limited current meter and other data and physical oceanographic models help to explain these observations. Data from current meters 1˚ north of the equator show a highly asymmetric mesoscale eddy motion here, aligned with the furrows. Phase relationships between near-bed and upper ocean currents suggest an indirect coupling of upper-ocean eddies with the lower ocean. The bottom Ekman layer is predicted theoretically to thicken towards the equator. The resulting reduced bed shear stress may explain the 230Th deposition and more weakly developed furrows at the equator. Given evidence that equatorial accumulation rates of 230Th and extraterrestrial 3He both fluctuated over the Late Pleistocene, we explore how the ideas presented here could help to explain how the geochemical anomalies relate to physical oceanographic processes. Introduction Multibeam echo-sounder data reveal abundant elongate sedimentary features, which are evidence for a widespread benthic current in the equatorial Pacific. The current is at a high angle to the expected geostrophic flow and, along with Ekman layer theory, may help to explain a previously reported enhanced deposition of 230Th and 3He along the equator. In the central Pacific, bottom water temperatures increase eastwards implying a general eastwards movement of ocean waters (Mantyla, 1975), which is predicted by geostrophic calculations (Reid, 1997). On the other hand, 14C ages of water generally increase northwards in the Pacific Ocean (Key et al., 2004; Matsumoto, 2007) though they can be modelled with a bottom water movement from a southern ocean source flowing as a western boundary current northwards and then eastwards into the central Pacific (Roussenov et al., 2004). These and geochemical tracers are scalar properties and, as the numerical modelling of Roussenov et al. (2004) illustrates, they can be explained by complex flow paths and their values are complicated by eddy diffusion, which is poorly characterized in the deep ocean. Vector measurements (with current meters and floats) recording the full time-varying movements of the ocean are preferred but are limited in the abyssal central Pacific. For understanding 3 particle transport, as entrainment and deposition involve threshold shear stresses, the full temporal history of water movement and in particular peak currents are important rather than merely the mean current. The sediments of the central and eastern equatorial Pacific have been studied extensively over the past few decades from samples recovered by scientific drilling and sediment coring because of potential links between their properties and climate. For example, equatorial upwelling is linked to wind stress driving surface Ekman currents and the upwelling in turn may affect pelagic productivity, implying a link, albeit complex, between wind strength and the production rate of particles (e.g., Mayer et al., 1992a). But such work is potentially compromised if particles move significantly with abyssal currents before depositing. Accumulation rates of particles are related to the shear stress near the seabed amongst other factors (e.g., McCave and Swift (1976)). Therefore, where temporal variations in depositional fluxes in paleoceanographic studies have been used to investigate past chemical properties of the ocean or upper-ocean properties (Beaufort et al., 2001; Chugh and Bhattacharji; Griffith et al., 2010; Lyle, 2003; Mitchell et al., 2003; Pälike et al., 2012), those fluxes may also have been affected by changing strength of abyssal currents. Spatial variations in the properties of deposited particles (Boltovskoy, 1991; Murray et al., 2000) may also not necessarily relate solely to variations in their production or input to the ocean if there is significant movement. Geomorphologic features on the ocean floor can provide clues to water and sediment movements, which may in turn help to guide the design of future oceanographic fieldwork as well as indicate where uncertainties in paleoceanographic studies may lie. The sedimentary features described here are elongated ridges, which are essentially sediment drifts, and depressions, which are similar to features termed elsewhere as furrows (Dyer, 1970). Although not an ideal descriptor, we use the term "furrow" here for consistency. Furrows in abyssal environments are typically 1-20 m deep sedimentary troughs extending parallel to the flow direction for several kilometres (Hollister et al., 1974), produced by helical secondary flow near the bed (Flood, 1983; Lonsdale and Spiess, 1977; Viekman et al., 1992). Examples have been reported in calcareous 4 pelagic sediment, such near the Samoan Passage, where they were found to be 1 m deep and spaced at 30 m (Lonsdale, 1981; Lonsdale and Spiess, 1977). Lonsdale and co-workers (Lonsdale, 1976; Lonsdale, 1977; Lonsdale, 1981; Lonsdale and Malfait, 1974) have characterized near-bottom flow patterns in the southwest and east Pacific using these features. Both steady and oscillating currents can produce furrows (Flood, 1983), which indicate the general orientation of flow. The earlier studies of these low-relief features relied on sidescan sonar data collected from instruments close to the bed to generate acoustic shadows and strong acoustic backscattering contrasts. The early 16-beam SeaBeam multibeam sonars were noisy (de Moustier and Kleinrock, 1986) so only the largest erosional features could be interpreted from their data (Shipley et al., 1985). Over the last decade or two, however, the multibeam sonar technology has improved significantly. The data acquired with them have better noise characteristics and effective spatial resolution. The context provided by their wider swaths helps the interpreter discriminate these current-generated features from other elongated features, such as abyssal hills. The furrows described here are generally more widely spaced than those mentioned in the earlier publications. This difference may merely be an artifact of differing sonar resolution effectively filtering a continuum of bedform scale (the multibeam data shown here have a spatial resolution of ~112 m whereas the Deep Tow data used by Lonsdale and others had much higher resolution). Indeed high-resolution sonar images of such features elsewhere suggest a range of spacings can occur in practice (Cochonat et al., 1989). Alternatively, this difference might have a fluid dynamical origin. Current measurements in Lake Superior showed the secondary circulation extending to a height similar to the furrow spacing (Viekman et al., 1992). The difference may therefore relate to different boundary layer thicknesses, though we have insufficient data to confirm this here. These features are also morphologically similar to shallow gullies observed in upper continental slope settings produced by density currents (Izumi, 2004; Puig et al., 2008). Those off southern California, for example, have spacings of 100-500 m (Field et al., 1999; Mitchell and Huthnance, 2007), overlapping with spacings of the furrows shown here. 5 Sediment geochemical data have also been interpreted as evidence for transport of particles by bottom currents to and their deposition on the Pacific equator (Marcantonio et al., 1996), and attempts have been made to use such data to correct depositional fluxes for particle redistribution (Francois et al., 2004). We re-examine those arguments in the light of the new data. 3He and 230Th accumulation rates in equatorial Pacific sediments in places deviate from their introduction to the water column (3He from interplanetary particle input to the ocean (Marcantonio et al., 1996) and 230Th from 234U decay (Higgins et al., 1999; Marcantonio et al., 2001)). Thorium is strongly particle-reactive in water, so 230Th produced by radioactive decay is readily absorbed onto falling particles. Consequently, it has an average residence time in the oceans of only 20 years (Henderson and Anderson, 2003). Uranium, in contrast, is well mixed and production of 230Th from radioactive decay is predictable from water depth and the uranium concentration. The ratio of accumulation rates of 230Th to the expected production of 230Th in the immediately overlying water column then suggests whether sediment has been advected into or away from a site. Further measurements of this ratio (“Y”) termed the "focusing factor" compiled by Kienast et al. (2007), which are shown in Figure 1a, confirm this apparent anomalous accumulation of particles along the equator. This simple interpretation of the 230Th data has been controversial, however. Some authors (Broecker, 2008; Lyle et al., 2005; Thomas et al., 2000) have argued that focusing factors are enhanced at the equator because of enhanced scavenging by falling particles in this high pelagic productivity region. Removal of thorium from the equatorial ocean is then compensated by spreading of thorium by eddy diffusion along isopycnals from outside the equatorial region. Siddall et al. (2008), who described this as a particle flux effect (PFE), extended a global circulation model to study it and argued that it was insufficient to explain the magnitude of observed equatorial focusing factors. Thorium is preferentially absorbed onto finer lithogenic particles (in particular, clays), which have larger effective surface area for a given mass (Geibert and Usbeck, 2004; Kretschmer et al., 2010; McGee et al., 2010; Roy-Barman et al., 2005). Their smaller terminal velocities allow them to be more easily advected laterally than larger particles, so varied focusing factors may partly reflect varied transport of fines. For a 6 discussion of other potential issues with this method, see Lyle et al. (2007) and Francois et al. (2007). We return to the particle flux and particle size effects in the discussion. In the present study, evidence for equatorial bottom currents is examined in multibeam echo-sounder and chirp sediment profiler records collected during cruise AMAT03RR of the RV Revelle (Dubois and Mitchell, 2012; Tominaga et al., 2011). Further information on the flow is provided by limited current meter datasets. The discussion examines the origins of the geomorphologic features, the nature of time-varying currents crossing the equator here, the elevated 230Th anomalies reported previously (Kienast et al., 2007) and theoretical reasons why sediment accumulation may be enhanced along the equator, as well as general consequences for paleoceanographic studies. Datasets Geophysical data Bathymetry data were collected on Revelle using a Kongsberg-Simrad EM120 multibeam echo-sounder during site survey cruise AMAT03RR for Integrated Ocean Drilling Program (IODP) expedition 319/320 (Pälike et al., 2010). Data were acquired in small grid surveys over each IODP site as well as in transit, while simultaneously running seismic reflection, chirp sediment profiler and other scientific instruments. The EM120 multibeam sonar on Revelle has 191 beams spread over a 150˚ sector. Resolution fore-aft is dictated by the 1˚ transmit acoustic beam widths (~70 m in 4000 m of water at nadir, widening with slant range away from nadir). The system uses the split-beam method of bottom echo detection, whereby the time of the echo arriving at the beam centre is determined from a series of differences of acoustic phase detected between two sections of the receive transducers (Hammerstad et al., 1991). Resolution athwartships therefore depends on the time window and method used for that determination, but is probably similar to the fore-aft resolution by inspection of the resulting bathymetry data. Because noise is reduced by filtering the data, resolution also in practice depends on the noise characteristics of the integrated system including motion sensors and acoustic noise arising from sea conditions (Schmitt 7 et al., 2008). Data collected during trials with the ship stationary were found to have a standard deviation of less than 0.2% of water depth (<8 m in 4000 m depth) across the swath to 60˚ off-nadir (de Moustier, 2001). The sounding data were processed using standard procedures within the MB-System software (Caress and Chayes, 1996), including manually removing acoustic outliers. The data were binned in 0.001˚ cells (a step that reduces noise somewhat by averaging ~2-3 values in each cell) and gridded at 0.0005˚ resolution using a surface-fitting program (Smith and Wessel, 1990). The effective spatial resolution of the following images is therefore ~112 m. The shaded relief images in Figures 2-4 illustrate the quality of the data. Artifacts include enhanced variability in the outer swath produced by noise probably from the water column multiple of the transmitted pulse, some across-track striping caused by noise from the vessel passing through waves and minor remaining individual sounding outliers. An along-track striping can also be observed at the swath nadir (such as in the centre of Figure 3b), where the system uses a different seabed echo detection method (Mitchell, 1996). These artifacts are all readily identifiable and can be avoided in interpretation. If not acoustically isolated, interference from other sonars transmitting with different cycle periods might lead to artifacts trending obliquely to the swath, but in areas of flat seabed no such artifacts are evident in these data. The data were analyzed with the GeoMapApp software (www.geomapapp.org) along with other wide-swath multibeam sonar data that have been incorporated within the Global Multi-Resolution Topography Synthesis (Ryan et al., 2009). Different artificial sun illumination directions were used to assess trends, using low inclination illumination to enhance subtle features not so easily interpreted in contour maps (Edwards et al., 1984). Such shading calculations typically involve a directional derivative of the topography, which enhances small features relative to large features if appropriately oriented. The shaded-relief imagery in Figures 2-4 was produced with the GMT software system (Wessel and Smith, 1991) with the illumination directions given in the figure captions. Those directions were chosen to show best the seabed features we interpret here. Readers can further study these data by viewing them when available from the National Geophysical Data Center 8 (www.ngdc.noaa.gov/mgg). Contour maps of Figures 2-4 are also provided in an electronic supplement to this paper (link). Although contours are noisy from across- and along-track artifacts mentioned above, deviations of contours in the maps can be used to assess relief of the larger furrows. {Note to editors/typesetters: text "when available" can be removed if the data have been uploaded to NGDC by the time of publication} Current meter data and tidal models No current meter records are available from the centre of the region studied here, but data from adjacent sites provide some sense of the character of the currents. Individual near-bed current meter measurements are shown as point clouds in Figure 5 for the sites marked MS, MC and MCD in Figure 1a (Manganese Nodule Project (MANOP) sites S, C and CD, respectively). The data in (a), (b), (d) and (e) of Figure 5 were provided by the Buoys Group of the Oregon State University (http://cmrecords.net/osu/pacific/pacific.htm), whereas the record in (c) was reproduced from Mayer (1981). (The magnetic compass data from the latter site may have been biased (Gardner et al., 1984) so only the dispersion of directions and speed can be interpreted from this record.) Figure 5f shows a time-series of current speed recorded at site MANOP Site C1 (20 mab) to illustrate the influence of tides in a relatively quiescent part of the record. Measurement durations, given in Table 1, vary over 7-14 months. Progressive vector diagrams (PVDs) computed from the MANOP C1, C2 and C3 data are shown in Figure 6c (solid circles are shown at weekly intervals). A local bathymetry map and the temperature records from C1 are shown in Figures 6a and 6b, respectively. The PVDs can be contrasted with diagrams for the more northerly MANOP-S sites shown in Figure 7a. Further current measurements have been made north of the Clipperton Fracture Zone (Morgan et al. (1999) reported flow data compiled by Demidova et al. (1996)). However, the plots in Figure 6c illustrate that measurements made over much less than a year are unlikely to report the flow properties accurately given the variations of various time-scales including greater-than-annual periods affecting bottom waters here, so we have shown only one of those recordings in Figure 1a (site B, 197 days, 30 mab). The mean current of each set of current 9 meter data is shown by vectors in Figure 1a (red and purple for >100 mab and <100 mab, respectively) and is reproduced in Table 1. The vector “MM” represents the mean current at MANOP Site M (200 mab, 13 months) from data in Lyle et al. (1985). Theoretical estimates of the barotropic tidal currents were made at the locations shown by cross symbols in Figure 1a and at the MANOP C1 and CD current meter sites. Calculations were carried out using the Oregon State University TPX06.2 global tide model (Egbert and Erofeeva, 2002) using MatlabTM Tide Model Driver software. Figure 8 shows scatter plots of the results, each calculated for one lunar month from 1/1/1992 with all main tidal constituents (M2, S2, N2, K2, K1, O1, P1, Q1, MV and MM). Geochemical data The 230Th accumulation anomaly or focusing factor Y is commonly defined as (Suman and Bacon, 1989): ò Y= éë Thex0 ùû rb dr b H(t2 - t1 ) r 2 230 r1 (1), where [230Thex,00] is the decay-corrected concentration of 230Th in sediments corrected also for in-situ production, b is the sediment dry bulk density and is the production rate of 230Th in the overlying water column of depth H. The calculation is carried out over the sediment depth range r1 to r2 corresponding to the sediment age range t1 to t2. The colour-filled circles in Figures 1a and 1b (with scales to right) show the Yvalues that have been reported in the literature for the Holocene and Last Glacial Maximum (LGM), respectively. These values are from a compilation of Kienast et al. (2007, their Table 4), supplemented with five values for the LGM calculated from data of McGee et al. (2007). Figure 9a shows the Y-values for the region 109˚W to 145˚W plotted versus latitude (solid and open circles represent Holocene and LGM values, respectively). Also shown in Figure 9a, large greyfilled and open circles connected by solid lines are average Y-values (Holocene and LGM, respectively) each computed over 1˚ of latitude centred on 0˚ and 1˚N. As explored by Kienast et al. (2007), uncertainties in individual Y-values are commonly dominated by dating uncertainties and can be difficult to quantify. 10 Skinner and Shackleton (2005) documented a 2 ky lag of the Marine Isotope Stage 1/2 boundary in a Pacific core compared with the glacioeustatic (global) curve. This error would bias (increase) Y-values by 15% and may largely explain why the LGM values, which have not been corrected for this effect (Kienast, pers. comm., 2013), are larger than the Holocene values in Figure 9a. Kienast et al. (2007) estimated a further 1.5 ky uncertainty could arise from difficulty in identifying the Stage 2/3 boundary. McGee et al. (2007) also estimated 1 uncertainties in Holocene Y-values by combining uncertainties in sediment age and density. For each of these studies (Kienast et al., 2007; McGee et al., 2007), we computed the mean ratio of their uncertainty to value of Y in order to construct the "typical" uncertainty bars shown in the left of Figure 9a for Y=1 and Y=2. A further uncertainty (of interpretation rather than values) could arise from local transport of sediments, for example, because of a tendency for sediment to infill basins between abyssal hills (Dubois and Mitchell, 2012; Laguros and Shipley, 1989; Mitchell, 1995; Mitchell et al., 1998; Tominaga et al., 2011) or be removed from basement highs or areas of scour around outcrops (Mitchell, 1995; Mitchell, 1998b). To assess this effect, the core locations (Kienast et al., 2007; McGee et al., 2007) were read into the Geomapapp software so that the physiography of each site could be evaluated using either multibeam bathymetry data if available (Ryan et al., 2009) or otherwise satellite gravity-derived bathymetry capable of resolving larger features (Smith and Sandwell, 1997). The following core site names are from Kienast et al (2007) and McGee et al. (2007). Two sites were found to be close to seamounts of >1000 m elevation (TT013/MC34 and TT013/MC19) and one adjacent to a 600 m hill (TT013/MC69). Three sites lie on or near the edge of an abyssal hill where winnowing might be more pronounced (MANOP/B18, ODP852A and ODP853B). The Y-values of these sites are marked in Figure 9a with cross-symbols. These potentially biased values appear to have no particular effect on the overall trend, however; the smaller circles connected by dashed lines are 1˚-averages after removing these values. Because of potential enhanced scavenging associated with hydrothermal activity (Singh et al., 2013) as well as these effects of topography, the sites closer to the East Pacific Rise were also excluded from the 11 analysis. With these various selections, the 1˚ averages were computed from only 3 values at 0˚N and 6 values at 1˚N for both the remaining Holocene and LGM data. The standard errors of the means after this averaging will be smaller than the uncertainty bars in Figure 9a and the equatorial tendency should therefore be resolved. We return to the uncertainty issues in the Discussion. For comparison with the 230Th results, linear sedimentation rates and mass accumulation rates were obtained from the line of ODP drill sites at 110˚W, where a relatively uniform carbonate content implies uniform extent of dissolution or dilution by silica-bearing species (mean carbonate contents computed from the full sediment core depths at Sites 849, 850 and 851 at 0.2˚, 1.3˚ and 2.8˚N (Mayer et al., 1992b) are 71.0, 68.2 and 72.0%, respectively). The data in Figure 9c are linear sedimentation rates computed using the highresolution timescale of Shackleton et al. (1995) obtained by orbital tuning. Values are normalized to the peak value of each period, which consistently lies at the near-equatorial Site 849. In Figure 9d, a similar graph is shown with values converted to mass accumulation rates using the core index properties (Mayer et al., 1992b). The bold line in each case represents the 0-100 ka interval. Observations Geomorphology The furrows and drifts can potentially be confused with topography of the sediment surface mimicking the underlying abyssal hills. To help discriminate them, abyssal hill trends were predicted using the orientations of sea-floor spreading magnetic isochrons (Müller et al., 1997) and interpreted from chains of pits caused by hydrothermal expulsions from basement (Bekins et al., 2007; Michaud et al., 2005; Moore et al., 2007). The white dashed lines in Figures 2-4 show our interpreted abyssal hill trends. Abyssal hills produced at mid-ocean ridges also have a rugged morphology of superimposed volcanic, tectonic and mass-wasting features so associated topographic trends can be irregular. Furthermore, the interpreter needs to be aware of the potential for oblique basement trends originally produced by transform faults, propagating rifts and other ridge discontinuities (Hey et al., 1986; Macdonald et al., 1991). 12 Figure 2a shows multibeam data collected towards the eastern side of the surveyed area. Elongated ridges and troughs seen running roughly north-south are up to 10s of metres deep (see cross-sections in Figure 2a sampled from the multibeam data) and cross abyssal hills (trending just west of north) at a shallow angle. These furrows are more irregular than those described in the earlier studies (Flood, 1983; Lonsdale and Spiess, 1977). The chirp sediment profiler record in Figure 2b (collected between EE and E’ along the track line marked in Figure 2a) reveals sub-bottom reflectors almost paralleling the seabed (the subbottom time to the prominent reflector at 25 ms for example was estimated to have a coefficient of variation of 11% across the E-E' record). There is no obvious evidence of erosion, such as truncation of reflectors at the seabed or unconformities within the acoustic stratigraphy here. Reflectors in similar sediment profiler records collected in the equatorial Pacific arise from acoustic interference of reflections from impedance structures that can be complex, varying over many scales and mostly linked to changes in density caused by carbonate content variations (Mayer, 1980). However, the coherence of the 25 ms reflector suggests it results from a more significant impedance contrast. Many other parts of the eastern dataset also show draping morphologies. In the NW of the map (Figure 2a), smaller elongated features can be observed crossing the ship track. In the chirp data (lower record in Figure 2b), they correspond with small undulations of the seabed echo, with small diffraction hyperbolae emanating from some troughs. However, in other parts of the chirp record where the seabed in the multibeam data appears smooth (such as shortly after (left of) "Course change" in E-E') we see few diffraction hyperbolae so smooth areas probably lack furrows of significant relief (arguing against sonar resolution being the cause of different apparent furrow spacings mentioned in the introduction). In Figure 3a, a series of shallower and broader troughs emanate to the southwest from depressions of the sediment surface. (These depressions are the pits of Moore et al. (2007) and here are aligned both parallel to abyssal hills and perpendicular to them, possibly overlying a fracture zone.) Figure 3b shows a fine fabric of sedimentary features trending NNE to SSW crossing the abyssal hill 13 fabric visible trending slightly west of north. Arrows mark troughs emanating from pits towards the southwest. Figure 3c shows two small seamounts surrounded by sedimentary moats and an abyssal hill fabric trending ~10˚ west of north. Surrounding the two seamounts, a fine sedimentary fabric can be observed changing trend as though produced by flow deviated by the seamount topography. Figure 3d shows similar features around two smaller knolls. A fabric trends slightly west of north and appears to deviate eastwards on passing east of the knolls. On and south of the equator, current-related sedimentary features were generally less easily interpreted. Figure 4a shows a segment collected immediately before the data in Figure 2 along a different heading. In this case, the lack of apparent current-related fabric might be due to the intensity normalization used in the shaded relief software (Wessel and Smith, 1991) reducing contrast to compensate for the across-track striping (perpendicular to the shading direction) but some crossing fabric can be observed ("?" in figure). In Figure 4b, some minor finely-spaced fabrics are observed sub-parallel to abyssal hills. Similarly in Figure 4c, fabrics run a few degrees east of abyssal hill trends. Figure 4d shows a minor NE-SW-rending drift crossing abyssal hill topography. Representative orientations of sedimentary lineaments were interpreted from the Revelle and other wide-swath sonar data, avoiding the immediate influence of seamounts and other local physiographic features. Those orientations were then averaged in grid cells of 1˚ X 1˚ and are displayed with white bars in Figures 1a and 1b. The sense of flow was also interpreted from troughs emanating from pits such as in Figures 3a and 3b and from sediment drifts on the lee sides of features. These general directions are shown by the black vectors in Figure 1b. The geomorphological data suggest that bottom water flows in a general NNE-SSW orientation. The bed features (Figures 2 and 3) are more irregular than the furrows described previously (Flood, 1983; Lonsdale and Spiess, 1977), suggesting that they were created by a current varying in direction. Six out of nine sense-of-movement indicators (black vectors in Figure 1b) suggest flow to the southwest. The presence of some indicators of northeastward flow suggests 14 that the reverse current can be locally more important, perhaps an effect of local seabed morphology. Some orientations are west of north immediately adjacent to the Clipperton Fracture Zone (such around 130˚W). The chirp records acquired on Revelle were examined over the region surveyed north of 10˚S until towards the end of the survey. The transit to the equatorial region from the south was plagued by poor sea conditions so reflectors are not easily interpreted there, but reflectors characteristic of the equatorial carbonates (Mayer, 1980) become sharp within a degree or two of the equator. Within the equatorial region, there is relatively little evidence of erosion, such as truncation of reflectors at the modern seabed or unconformities. This may be partly due to poor lateral resolution of the wide-beam chirp profiler, but even fully processed (to migration stage) multichannel seismic data collected during the Revelle cruise over IODP sites show truncation only at steep escarpments (Expedition_320/321_Scientists, 2010b). Within the equatorial zone, sub-bottom reflectors generally parallel the modern seabed to greater than 0.1s, as illustrated in Figure 2b. Possible erosional truncations of reflectors become more common in the chirp data approaching the Clipperton Fracture Zone at the northern limit of the line at 7˚N, 125˚W. Processed multichannel seismic data from there (Expedition_320/321_Scientists, 2010a) and short-streamer seismic collected in transit (Dubois and Mitchell, 2012) also suggest erosional truncations on the western Revelle transect passing "3d" in Figure 1a. Non-parallel sub-bottom reflectors are common from this area westwards, linking with the Clipperton Fracture Zone where erosion is well known (Johnson, 1972a; Johnson, 1972b). The change from primarily draping recent sediments in the east to more irregular deposition to the west is accompanied by a change in sediment type with less carbonate content occurring with increasing depth and dissolution (Farrell and Prell, 1991; Pälike et al., 2010; Theyer et al., 1989; van Andel et al., 1975). Hence, the change may partly reflect changing physical properties of sediment (grain size, density and threshold of motion, for example) making it difficult to say whether there is a change in the properties of bottom currents across the region. 15 Although the trend is not strong, the morphologic data show a change in furrow orientations across the equator, e.g., changing clockwise from Figure 2 to Figure 4d. This change can also be seen in orientations in Figure 1a. We computed an average orientation from the digitized furrow directions for the region east of 130˚W (were data lie on both sides of the equator) separately for 1˚ to 5˚N and 1˚ to 5˚S. The northern set has a mean of 16.0˚±1.3˚ (1) for 107 samples. Unfortunately, only six orientations were recorded in the latitude band south of the equator but nevertheless they were consistent with surrounding orientations observed during digitization (visually representative) so their mean of 34˚ and minimum of 29˚ are considered reliable. These values suggest an 18˚ clockwise change in the furrow orientations occurs crossing the equator north to south with a probable minimum change around 12˚. Current meter data and tidal current models The progressive vector diagrams (PVDs) in Figure 6c illustrate the unsteadiness of the flow at sites adjacent to the equator. The deployments at 20, 42 and 170 mab (metres above bed) show translational movements lasting many weeks to months within the lower water column as well as more nearly circular mesoscale eddies (e.g., the circulation towards the end of the 170 mab C1 data). The C3 42 mab PVD has an annual mean displacement of 329 km along N082.5˚E, almost parallel to the expected geostrophic flow illustrated by the mid-water record for C3 (top-left in Figure 6c). The upper-right PVD is the 42 mab C3 record with the annualized mean drift removed, showing that the remaining movements are one-dimensional, rather than circular as expected for symmetrical eddies. They have an average period of 7 weeks that is comparable to that of mesoscale eddies. The record is not quite periodic on an annual basis. Comparing the upper and lower water column records at C3, the net movement after 10 weeks (first open symbol along the records) in the upper record is opposite that in the deeper record. The following 10 weeks of movements are more nearly in phase. Site C1 was located adjacent to an abyssal hill (Figure 6a), which appears to have produced different movements in the two records shown in Figure 6c. Between 30 and 40 weeks, the PVD at 20 mab suggests a circulation, while that 16 at 170 mab suggests an overall eastward translation (flow less impeded by the hill?). The mean velocities of the MANOP-C1 sites (Figure 1a and white bars in Figures 5b and 5e) are roughly in line with the peak velocities in Figures 5b and 5e towards the south and southwest. The upper water column record at C2, which started on a similar date to those at C1, shows mainly an eastward translation expected of the geostrophic flow. Whereas the cross-equatorial movement between the C2 and the 170 mab C1 records is in opposite phase for the first two weeks, it is more in phase around weeks 5-10. Although the heading at MANOP-CD is unreliable, the character of this record at 4.7 mab seems similar to that of the C1 20 mab site, though with smaller velocities corresponding with the lower altitude of the meter. The two temperature records in Figure 6b are parallel, apparently recording the same bottom temperature gradient, with no obvious change such as with varying boundary layer structure. If a bottom mixed layer is present, it is presumably less than 20 m thick here. The MANOP S sites were unfortunately located next to seamounts (Figure 7) but they provide records farther from the equator to compare with the C sites. Whereas the southerly site data ("short" in Figure 7) show a general southward or south-southwestward movement, with the deeper meter slower than the shallower meter, a general westward or southwestward movement was recorded at the S1 meters, with greater mean velocity at the deeper site. The latter records also show evidence for mesoscale eddies, whereas the former do not. The MANOP-M record (Lyle et al., 1985) also shows a translation (southsouthwestward) somewhat similar in character to the MANOP-S "short" records though with more of a superimposed circular movement of multi-monthly period. The computed tidal currents at the MANOP-C site (Figure 8) are less than 2 cm s-1 and largely explain the oscillation shown in Figure 5f (vertical lines are spaced every 12.42 hours). Farther east, tidal currents can reach 3 cm s-1 but are nevertheless still small and lie oblique to the furrow orientations (Figure 1). Besides those at MANOP-S, the current meter data suggest long-period oscillatory movements broadly in line with the furrow orientations. As the morphology is more likely to reflect the peak current than the mean current, the 17 greater peak current speed at MANOP-C within the carbonate ooze zone where we observe these features is interesting. A more modest 12 cm s-1 peak current speed was recorded at MANOP-M (Lyle et al., 1985), similar to that at MANOP-S (Figure 5). 230Th variations Regional and local variability The high Y-values about the equator in Figure 1a have been noted previously (Kienast et al., 2007; Marcantonio et al., 2001; Siddall et al., 2008). Figure 9a reveals that the anomaly extends from 0˚N to perhaps 2˚S. The LGM values are also elevated about the equator. Adjacent Y-values can be markedly different. Examples include around 140˚, 110˚ and 102˚W on the equator (Figure 1a). Inter-site variability is less obvious away from the equator in the lines of data at 140˚ and 110˚W, where Y-values more nearly equal unity. Much of this variability could be due to effects of local bathymetry on the currents and gravity-driven sediment transport as outlined earlier. After screening out sites potentially affected by local sediment transport variability, the remaining Holocene values in Figure 9 still show an equatorial signature and the mean values at 0˚ and 1˚N are little changed. The equatorial Yvalue of ~2 is derived from three remaining values and the decrease towards Y=1 at 1˚N is derived from six remaining values. However, the elevated value at 2˚S is derived from only a single sediment core. Although representing a longer interval of sedimentation, the upper 100 k.y. of sedimentation and mass accumulation rates along the ODP Leg 138 sites (Figures 9b and 9c) show a similar pattern about the equator. The region 2˚S to 0˚N over which 230Th and bulk sediment accumulation is enhanced coincides with the region where we have found the furrows and sediment drifts to be more difficult to interpret (Figure 4). Interpretation The furrow pattern suggests that they were generated by a current running mainly between NE-SW and N-S (Figure 1a). From irregularity of some furrows (Figure 3) and the current meter data from MANOP-C (Figure 6), the 18 formative current is irregular, oscillating with periods varying from tidal to greater than annual. The lower MANOP-C3 meter shows an annual mean drift expected of geostrophy (Reid, 1997), though over shorter periods suggests a movement of up to several hundred kilometres oriented parallel to the furrows. The data from several of the other current meters, however, suggest a mean drift towards the southwest to south, compatible with the current direction indicators in the multibeam data, which show a preference towards the south over north with a 2:1 ratio. At the equator, a reduced shear stress in the equator-crossing currents (of varied periods) is interpreted from furrow morphologies in the multibeam data (Figure 4) being less distinct than north of the equator and the anomalous accumulation of 230Th and 3He (Marcantonio et al., 2001; Marcantonio et al., 1996). The furrow orientations in Figure 1a do not obviously relate simply to the bathymetry contours at large scale as would occur with a geostrophic current. For example, northeast of the "4b" annotation the furrows roughly parallel the 4 km contour but next to the"4d" annotation, they are perpendicular it. A similar lack of correspondence to contours can be observed elsewhere in Figure 1a. If a bottom Ekman spiral accompanies the NE-SW oscillating current (Figure 6c), periodic reversal of that spiral and associated bottom current deflection may also help to explain the furrow irregularity compared with those in the literature. Discussion Origins of the furrows and their generating current The orientations and morphologies of sedimentary bedforms tend to reflect the more extreme currents capable of re-suspending particles or influencing patterns of non-deposition and deposition, hence it is not surprising that the furrow orientations bear little relation to the expected eastward geostrophic current (Reid, 1997). That the furrows appear over the carbonate ooze despite the low current speeds and occur less commonly in the carbonate poor area north of the Clipperton Fracture Zone may originate from a smaller threshold of erosion; Lonsdale and Southard (1974) found half or lower threshold velocities of carbonate ooze compared with red clay. 19 The furrows lie oblique to the peak tidal currents in Figure 8, which are strongest in the NW and SE quadrants, where they approach 3 cm s-1. These tidal currents are modest relative to the following re-suspension thresholds in erosion experiments on carbonate ooze. Southard et al. (1971) found thresholds of 7-10 cm s-1 immediately after rapid deposition and 15-20 cm s-1 after a few hours. Nevertheless, despite their small speeds, interaction with the bed can give rise to locally enhanced currents capable of re-suspending particles (Peine et al., 2009; Turnewitsch et al., 2008). Furthermore, phytodetritus, which is common in photographs of the equatorial Pacific bed (Smith et al., 1996), can be resuspended by smaller currents than inorganic particles and this may help to explain the sediment focusing (Marcantonio et al., 2001). Expressed in terms of shear velocity u*, thresholds of 0.4-0.8 cm s-1 were reported in laboratory flume measurements by Beaulieu (2003) and 0.4-1.2 cm s-1 for experiments on surface aggregates recovered from core tops by Thomsen and Gust (2000), compared with much larger 1.37 cm s-1 for the erosion experiment on a pelagic carbonate silt of foraminifera and coccolith particles (Southard et al., 1971). If bed shear stress under tidal currents 0 is equal to Cd|u|2 (Taylor, 1919) with typical Cd = 0.0025 (dimensionless), the tidal shear velocities u* (=(0/)1/2) reach 0.15 cm s1. Although small, tidal current shear stress, when added vectorally to shear stress of other motions, contribute about 1/3 of the minimum suspension threshold stress. In numerical models of internal waves (Simmons, 2008), wave beams generated by the barotropic tide crossing bathymetric features in French Polynesia lie almost exactly parallel to these furrows, particularly towards the west. However, the semi-diurnal movements in the MANOP-C1 near-bottom record (Figure 5f) are readily explainable by only the barotropic tidal movements (Figure 8). Internal tidal amplitudes deduced from satellite altimeter data (Shriver et al., 2012) also are reduced in this equatorial region. Nevertheless, we cannot rule out the possibility that enhanced flows may be produced locally by interactions with bottom morphology (Turnewitsch et al., 2008) or that the furrows developed during geological periods when internal tide movements may have been different, for example, if lowered sea level led to 20 stronger internal wave generation. Modelling is required to investigate this possibility. Internal gravity waves (lee waves) are produced by steady flow across abyssal hills and other topography. They are not resolved in global ocean models but Scott et al. (2011) modelled their generation rates using estimates of abyssal hill topographic properties from satellite altimetry (Goff, 2010) and output of the HYbrid Coordinate Ocean Model (HYCOM) to establish the pattern of bottom water long period (>tidal) flow. Figure 11 in Scott et al. (2011) shows a broad region of lee wave generation extending from the equator northwards. Turbulence associated with lee waves may help to explain the generally elevated shear stresses needed to produce the furrows. Isopycnal diffusivities estimated by Davis (2005) from float trajectories at 900 m depth at the equator exceed 8000 m2 s-1. While diffusivity major axis in his maps is generally oriented along the equator, east of 140˚W the meridional component becomes more significant and the major axis is, in places, aligned with the intermediate period motion shown for the deep MANOP-C sites (Figure 6c). In the above comparisons of the middle and deep ocean meter data in Figure 6c, they are only intermittently in phase, so the lower ocean eddies are not directly coupled with the upper ocean, indeed no such connection appears in lowered ADCP data (Kunze et al., 2006). Nevertheless, the 7-week period of the motion described earlier is typical of mesoscale eddies. The PVD shown in Lyle et al. (1985) also shows a roughly bi-monthly acceleration and deceleration of southward flow at MANOP-M. A bottom mesoscale eddy motion may therefore be the ultimate cause of the furrows, for example, from hydrostatic pressure variations induced by the dynamic topography of migrating upper ocean eddies, given the alternating in- and out-of-phase motion between bottom and upper water column current meters outlined above. Annual mean currents The pattern of mean bottom currents obtained by averaging the current meter records (Figure 1a), contain some curious differences between meters placed at different altitudes. The MANOP C3 record shows an annual eastward movement consistent with the eastward movement expected from interpretation 21 of temperature records and geostrophy (Mantyla, 1975; Reid, 1997). More recent numerical modeling incorporating vorticity suggests that the mean flow in the lower water column should turn to parallel the equator here (Roussenov et al., 2004; Williams et al., 2002). In contrast, current meters at MANOP C1 (20 and 170 mab) and M (200 mab) show southward or southwestward flow. Unfortunately, the deployments of C1 and C3 were over different dates, but interestingly, the lower-ocean 14C data in Roussenov et al. (2004) show a tongue of 14C-depleted water extending from the north into the equatorial region suggesting some southward movement. The values at 4000 m depth in Figure 1b (from Key et al. (2004)) show this 14C feature centred a little west of 140˚W. We speculate that a southward mean current may occur near the bed and diapycnal diffusion of the associated 14Cdepleted water has created this anomaly. 230Th and sediment movements implied by the Y-values A simple observation suggests that the elevated Y-values along the equator are unlikely to be caused by the particle flux effect (PFE) alone; the latitude distribution of particles falling to the seabed is much broader than the latitude range of elevated Y-values. The pattern of standing stock counts of live foraminifera in net trawls at 140˚W (Watkins et al., 1996; Watkins et al., 1998) are shown in Figure 10b (abundances were averaged over the depth interval 0100 m). Grey and solid symbols show trawls during unusual El Niño conditions and more typical conditions, respectively. The solid symbols and the carbonate fluxes in Figure 10c derived from sediment traps (Dymond and Lyle, 1994; Honjo et al., 1995) (also see Berelson (1997)) suggest that particles fall to the seabed over a region ~10˚ across, in contrast to the only 2˚ of enhanced 230Th accumulation. Figure 10a shows (open circles) averages of the selected data in Figure 9a, in particular the value at 1˚N is an average of 6 values so the northward decrease towards Y=1 at 1˚ is well constrained. Magnitude of the PFE Some uncertainty over the magnitude of the PFE may nevertheless remain. Siddall et al. (2008) attempted to address the PFE magnitude by 22 adapting an ocean circulation model (Müller et al., 2006) to account for particle fluxes and eddy diffusion. However, water 14C contours predicted by the model of Müller et al. (2006) differ from measurements in the central Pacific, suggesting that advection there is not perfectly modelled and the isopycnal diffusion parameter 1000 m2 s-1 used in the modelling was not confirmed with local independent measurements. Indeed, high kinetic energy in the lower ocean within output of the HYCOM (Scott et al., 2011, Figure 9) implies elevated eddy diffusion. The meridional component of isopycnal diffusion from the upperocean floats (Davis, 2005) approaches 6000 m2 s-1 east of 140˚W and Figure 6c suggests comparable eddy movements in the lower and upper ocean. Lateral fluxes of 230Th A rough assessment of the magnitudes of the 230Th and particle fluxes can be obtained from continuity. To simplify this analysis, we assume the system is one-dimensional (particles and 230Th are transported with latitude while zonal fluxes at the west and east boundaries of the area are roughly equal or small). This could be justified by the relatively coherent pattern of the seabed features (Figure 1a) and other aspects such as primary input from the ocean surface being aligned with the equator, but may be less easily justified in other respects as we outline below (hence, this calculation is intended to help explore the issues only). From continuity, the southward total flux Q of 230Th would be related to the Y-values by: (Y -1)H b = ¶Q ¶y (2) where y is latitude distance (m). Integrating with distance yields: y Q - Q0 = b ò (Y -1)H dy (3) y0 where Q0 represents the southward flux at latitude distance y0 (recognizing that strictly speaking the system is not closed (Francois et al., 2007)). Figure 10e shows numerical evaluations of equation (3) using the different curves in Figure 10a (y0 corresponding with the southernmost Y-value shown) and with =0.0265 dpm m-3 yr-1 and the averaged bathymetry in Figure 10d for H. The continuous line shows the result using the interpolated Y-values 23 in Figure 10a (i.e., the solid line). This represents the net flux from both water column transport and from 230Th adhered to transported particles. The curve continues increasing north of 2˚N, a result of Y-values slightly greater than unity there. Water-borne fluxes of 230Th Water 230Th concentrations can be used to evaluate the possibility of 230Th meridional fluxes arising from water advection. Figure 11 shows total 230Th activities provided by R. Anderson of Lamont-Doherty Earth Observatory at http://usjgofs.whoi.edu. These measurements were made along 140˚W. The profiles in Figure 11a generally show quasi-linear trends with depth typical of interactions with falling particles (Marchal et al., 2000). In Figure 11b values have been interpolated to the four depths shown. Although the data represent both particulate and dissolved 230Th, their ratio is usually low, e.g., only 0.18 in one study at 23˚N (Roy-Barman et al., 1996), so the data represent mostly dissolved 230Th. The activities are inversely related to vertical particle fluxes recorded in sediment traps shown in the upper panel of Figure 11b (data from Honjo et al. (2008)), suggesting that meridional advection is minor in the majority of the water column, as also suggested by the mid-water current meter data (Figure 6c). (Exceptions are the 230Th activities at 12˚S, which are curiously low despite low particle flux.) The deepest 230Th activities at the equator, 2˚N and 5˚N (highlighted by grey ellipse in Figure 11a) are all anomalously high, however. Although an explanation in terms of 230Th release by dissolution of particles at the bed (Nozaki et al., 1981) cannot be ruled out, no such elevated values exist at the other locations in Figure 11a. Elsewhere in oceanic gyres elevated basal values are rare (Nozaki et al., 1981; Nozaki and Nakanishi, 1985; Roy-Barman et al., 1996; Francois et al., 2007). We suggest that a southward benthic current is affects the benthic anomalies here, given the southward tongue of depleted lower-ocean 14C (Figure 1b), the southward annual mean current at two of the three benthic meters at MANOP-C and the geomorphologic data indicating mainly southward flow. In Figure 11b, the 230Th activity at 4000 m seems depressed at 5˚S (i.e., does not rise south from the equator like those at 3000 and 24 3500 m), a possible indication that the benthic current persists across the equator carrying 230Th-depleted benthic water from the equator. The activity anomalies of these deep samples combined with the current data can be used to estimate an effective timescale over which the 230Th activity has a tendency to return to its normal value (this will be an upper bound given that some effect of benthic dissolution of particles (Nozaki et al., 1981) may occur). The meridional gradient of 230Th activity is 0.051 dmp m-3 degree-1 for the 4000 m interval in Figure 11b from the equator to 9˚N. In Figure 12, deviations are shown of the deepest sample values from regression lines fitted to the remaining values. Their average deviation (0.37 dpm m-3) divided by the meridional gradient implies around 7.1˚ of effective displacement. If the current has an annual displacement similar to that shown by the 170 mab C1 current meter (the PVD of this meter in Figure 6c has 2.38˚ of annual latitude displacement), the movement would occur in 3 years. The thickness of the current must be much smaller than the 750 m elevation above the bottom of the 3550 m deep samples given that diapycnal diffusion would otherwise affect those sample activities also. Fluxes of 230Th associated with particles considering the PFE The dashed line in Figure 10e shows an estimate of the 230Th flux associated with near-bed particle movements obtained by subtracting the Yvalues predicted by Siddall et al. (2008) to arise from the PFE from the core Yvalues (replacing Y-1 in equation (3)). For this calculation, the PFE curve shown by the grey line in Figure 10a was reconstructed from the peak equatorial values in their Figure 6 and the mean latitude positions of the Y=1 contours in their Figure 5. The resulting 230Th flux shown by the dashed line in Figure 10e rises to a maximum around 1˚N and is relatively uniform north of there. If the PFE were larger in magnitude for the reasons given earlier, the 230Th fluxes associated with sediment movements would be smaller, returning closer to zero north of the equator. Note that negative Y-values are not needed to signify reduced deposition, rather it is the Y-value relative to the value expected from the PFE, hence the PFE is important for resolving the amount of reduced deposition off the equator. (Without a significant PFE, it would be curious that Y-values return 25 to unity north of 1˚N if this region is the source of particles to the equatorial sites.) After the selection described earlier for local topographic effects, the number of core measurements contributing to the average Y-values in Figure 10a is small. Whereas 6 values contribute to the average at 1˚N and 3 to the equatorial average, most remaining points represent only single values. To illustrate the effect of uncertainty, the dotted line in Figure 10a was obtained by subtracting 0.5 from the value at 2˚S and 1 from the two values at and north of 2˚N using the uncertainties from McGee et al. (2007) scaled to the appropriate Yvalues. Although these alterations are arbitrary (we have no information to suggest these particular values were in error), this effect seems possible for the small number of values. The resulting pattern of flux peaks at 1˚N and declines farther north (dotted line in Figure 10e). An order-of-magnitude estimate of the meridional particle flux that these 230Th fluxes may represent can be obtained by dividing by measurements of sediment 230Th concentrations. Typical unsupported values for Holocene sediments are around 10 dpm g-1 in the cores studied by McGee et al. (2007) and in cores B18 and B25 of Marcantonio et al. (2001), whereas values nearer to 5 dpm g-1 were found in PC18 and PC72 by Marcantonio et al. (1996). Using the 10 dpm g-1 value, the 230Th fluxes in Figure 10e imply particle fluxes of around 0.1 g m-1 s-1. This is an underestimate as it ignores degradation of organic carbon and partial dissolution of carbonates and opal that occurs before burial (Berelson et al., 1997). Nevertheless, the value is small, as might be expected here given the weak currents. For comparison, measurements of currents and suspended sediment concentrations during benthic storms in the northwest Atlantic were used to estimate fluxes reaching 0.4-1.0 g m-1 s-1 (Gross and Williams, 1991). Fluxes of 230Th associated with fine particles Alternatively, the preferential absorption of 230Th onto finer lithogenic particles (Geibert and Usbeck, 2004; Kretschmer et al., 2010; McGee et al., 2010; Roy-Barman et al., 2005) implies that the bulk sediment transport could be smaller. The particle-solution distribution coefficient for 230Th has been estimated to be 2-3 orders of magnitude greater for lithogenic particles than for 26 carbonate and opal (Luo and Ku, 2004). Elevated turbulence associated with lee wave generation continues north of the Clipperton Fracture Zone (Scott et al., 2011) where dissolution has left surface sediments with <20% carbonate (Berger et al., 1976). Although, once deposited and compacted, erosion thresholds of clays can be greater than those of carbonate ooze (Lonsdale and Southard, 1974; McCave, 1984), clay particles released from aggregates by the dissolution occurring within the water column (Jansen et al., 2002) may carry absorbed 230Th with the mean currents southwards if kept suspended. Indeed, bottom photos taken at MANOP-CD (Gardner et al., 1984; Thorndike et al., 1982) and others viewable in the Geomapapp database (www.geomapapp.org) show little turbidity. Nephelometer readings at 134˚W reached only 13 g l-1 near the bed at the equator (Eittreim, 1984). Therefore, 230Th transport by a more dilute suspension of fine particles is suspected. Particle concentrations at MANOP-S1 estimated from nephelometer data at 0.6 mab were 4-8 g l-1 (Gardner et al., 1984). Such concentrations, if distributed over (for the sake of argument) 100 m and if advected southwards at 1 cm s-1 (a typical mean current in Table 1), would generate a mass flux of 4-8 mg m-1 s-1. This is only a small fraction, ~1%, of the total sediment flux based on the equatorial 230Th concentrations, nevertheless, it is comparable with the amount of deposited non-carbonate fractions. We thus conclude from all the above that equatorial focusing of sediment is likely to be occurring, though contributions from fine particles to meridional 230Th flux may also be significant and need to be better characterized. The origins of abruptness of 230Th deposition at the equator The equatorially elevated 230Th accumulation (Y-values) occurs over a remarkably narrow range of latitude, only ~2˚ (Figure 9a). The change implies sharply declining bed shear stress within the lower turbulent bottom boundary layer (BBL) in currents crossing the equator (Marcantonio et al., 2001). The magnitude of that decline need not be as abrupt as that of the Y-values, given that accumulation and re-suspension of sediments occur over thresholds of shear stress. Nevertheless, given that re-suspension thresholds and flows are likely to vary, the abruptness of the change in Figure 9a still seems remarkable. In the 27 absence of accurate in situ data, the following speculatively explores some theoretical ideas that may help to explain this phenomenon. The accumulation rates of particles in the oceans are often modelled as a function of bed shear stress. For example, McCave and Swift (1976) introduced the following expression for the mass accumulation rate R of fine particles: æ t ö R = Cws ç1- 0 ÷ è tc ø (4) where C is the particle mass concentration just outside the viscous sub-layer near the bed, ws is their settling velocity, 0 is the bed shear stress and c is a critical shear stress for deposition. Equation (4) suggests that a current with particles of a given C and ws could abruptly deposit if 0 decreases below the threshold c as we suggest below could occur because of the effect of Coriolis on the bottom Ekman layer. C and ws potentially vary spatially, for example, reflecting the varied particle flux from surface waters and their varied compositions, but this is not such a concern here as we are evaluating change in deposition relative to that expected from the primary input, i.e., how Y-values vary. (Incidentally, an abrupt decrease in particle concentration associated with enhanced deposition along the equator might explain why the 230Th anomalies do not continue farther south of 2˚S (Figure 9).) The current oscillates with periods of two months or more, such as at MANOP-C1 and -C3 (Figure 6c), carrying particles several hundred kilometres if continually suspended, and depositing where intersecting the equator (which thus acts like an onedirectional filter in this interpretation). Reduced bed shear stress at the equator is predicted theoretically from the expected dynamics of the bottom Ekman layer. The following is adapted from arguments in Apel (1987). An interior flow up is driven by ocean pressure gradients and balanced geostrophically (non-accelerating). The interior flow is assumed to vary more slowly than the Coriolis frequency f. The Ekman current components (ub, vb), where ub is aligned with the interior flow, represent the balance of Coriolis force with the effect of eddy viscosity (friction) within the Ekman layer. In Apel (1987), this is written: Au ¶2 uB (5a) - fvB = r ¶z 2 28 Au ¶2 vB (5b) fuB = r ¶z 2 where f is the Coriolis parameter equal to 2sin ( is the Earth's angular velocity (radians s-1) and is latitude), Av is eddy viscosity, is water density and z is altitude above bottom. Equations (5a) and (5b) can be manipulated to produce fourth-order differential equations involving ub and vb separately. With the boundary conditions corresponding to the Ekman current decreasing to zero at the bed and at a long distance from the bed in the interior flow, the following are possible solutions: uB = -uge-z cosz (6a) vB = uge-z sin z (6b) where is z/B and B is the Ekman layer thickness equal to (2Av/f)1/2. Both components of shear stress within the flow approaching the bed (=Au/z, Av/z) can then be shown to equal tu = tv = Av ug dB (7). If eddy viscosity Av were uniform, and substituting the parameters for B, equation (7) implies that these two shear stress components are both proportional to (sin)1/2 and decrease sharply to zero at the equator. Reducing stress represents thickening of the Ekman layer so that the Ekman spiral occurs over a greater depth interval and the vertical gradients in ub and vb both decrease. In practice, the spiral is unlikely to be fully developed. For the eddy period of around 7 weeks observed, the assumption that flow varies more slowly than f is strictly speaking violated within half a degree of the equator. The assumption of uniform Av is also problematic. Nevertheless, Ekman currents would seem to provide a simple explanation for the elevated Y-values at the equator, less well-developed furrows in the geomorphologic data and change in furrow orientation across the equator. Although we lack the current meter data to confirm that Ekman spirals exist, the zigzag motion in Figure 6c for C3 (42 mab) and C1 (170 mab) is as expected of an Ekman layer deflection. 29 Implications for Paleoceanography High glacial Y-values at equatorial sites have been noted to coincide with evidence of enhanced flow in the deep western boundary current into the Pacific basin from intervals of coarser sortable silt recovered near New Zealand (Hall et al., 2001), but a physical basis for such a connection has not been provided. The above discussion provides several mechanisms by which the general circulation and equatorial Y-values may be linked. Turbulence associated with the lee wave generation described by Scott et al. (2011) was likely enhanced when the flow was stronger. If the bottom Ekman spiral is more strongly developed when the mean flow is stronger, this should lead to a larger deviation of the bottom current relative to the overlying flow and hence greater convergence at the equator, suggesting that the equator may become a better sediment trap also. The bottom Ekman explanation involves elevated bed shear stress in currents flowing towards the equator causing non-deposition or re-suspension of particles in areas away from the equator, combined with an abrupt decline in shear stress at the equator. Crucially, the mechanism needs to involve low equatorial stress in order to lead to anomalous equatorial deposition, otherwise particles would have been merely swept across the equator during periods of generally stronger currents. At times when the equator-crossing mean current was strengthened relative to shorter period (oscillating) currents such as tides, the Ekman layer should have become better developed and hence the equatorial effect may have become greater with the greater mean current. This may help to resolve an apparent contradiction of high accumulation rates occurring at the equator at times when the currents were stronger in interpretations of the geochemical data (Marcantonio et al., 2001). Measurements of 230Th and 3He accumulation rates in equatorial cores at 140˚W have revealed fluctuations in apparent sediment focusing throughout the 450 ky of the late Pleistocene, with focusing factor abruptly rising to Y=4 principally at the onsets of glaciations and 1<Y<2 at other times (Marcantonio et al., 2001; Marcantonio et al., 1996). At 110˚W, an equatorial core shows persistently elevated Y-values of 2-5, with the LGM values towards the top of this range (Loubere and Richaud, 2007). These Y-values seem too large to be dismissed in terms of errors in sediment dates or other uncertainties (Kienast et 30 al., 2007). Uncertainties remain, however, as to the extent to which such values represent enhanced movement of the bulk sediment to the equator or, if 230Th is carried by finer lithogenic particles, chemical conditions leading to release of such particles from aggregates, as well as their translation towards the equator. They may also have been affected by enhanced isopycnal diffusion, for example, if wind stress affecting the ocean surface was elevated, as winds have been suggested to have been generally strengthened during glacial periods (Mayewski et al., 1994). Finally, we urge caution when interpreting abrupt changes in accumulation rates from equatorial sediment cores. For example, Pälike et al. (2012) recently claimed rapid variations in the carbonate compensation depth (CCD) occur in the equatorial Pacific by extrapolating carbonate accumulation rates within recently collected cores. Rapid changes will also occur at drill sites as they drift with plate tectonics across the equator and also because of unknown but potentially large variations with varying bottom currents. Conclusions The seabed morphological data presented here reveal abundant irregular furrows, most common north of the equator. Two-thirds of current direction indicators suggest the furrows have been created by southwestward flow. Furrow orientations change clockwise going north to south of the equator. These observations suggest currents flow towards the southwest but probably with a strong oscillatory component and that they are oriented clockwise in the south because of the change in sign of the Coriolis force on crossing the equator affecting bottom Ekman currents. The near-bed current meter records are generally compatible with southward mean and peak flows. However, the records from one meter at 42 mab (MANOP-C3) show eastward annual-mean flow (compatible with geostrophic estimates) while flows of ~7 week periods are NE-SW and parallel to the furrows. Intriguingly, this intermediate motion is in line with the major axis of eddy diffusivity resolved east of 140˚W in the upper ocean (900 m depth) from float trajectories (Davis, 2005). Based on varied phase relationships between near-bed and upper ocean current meters, some of the benthic motion creating 31 the furrows is speculatively suggested to originate from indirect coupling of upper-ocean eddies with the lower ocean, for example through hydrostatic pressure variations induced by the former. In the light of the geomorphologic observations, we also re-examined the claim of sediment focusing (Marcantonio et al., 2001). Theoretical relationships suggest that a reduction in near-bed shear stress can occur on crossing the equator, because the bottom Ekman layer expands at the equator. The Ekman layer may have been better developed at times when the current of greater than tidal periods was stronger. Therefore, the apparent paradox of high accumulation rates on the equator (large focusing factors) during times of stronger currents that arises from interpreting the large Y-values as representing periods of sediment transport (Marcantonio et al., 2001) may be explained by a strengthened Ekman layer accompanying the stronger currents. Such processes have the potential to explain how the equator has remained an important sediment trap for particles transported across it. In order to improve the use of this geochemical tracer, our continuity-based calculation of 230Th flux and other observations suggest that eddy diffusion and advection need to be better characterized as well as contributions from fine particle transport. Acknowledgements For their help in collecting the AMAT03RR cruise data, we thank the captain and crew of Roger Revelle, Mitch Lyle and the shipboard scientists. Cruise costs were supported by grants from the NSF (OCE-9634141 to Lyle) and NERC (NE/C508985/2). The Oregon State University tidal modelling group (Gary Egbert and Lana Erofeeva) are thanked for online access to their TPX06.2 tidal model. Figures in this article have been generated with the aid of the GMT software system (Wessel and Smith, 1991). The following are thanked for email discussions and help in locating datasets: Ric Williams, Nathalie Dubois, Stephanie Kienast, Mark Siddall, Bob Anderson, Gideon Henderson, Larry Mayer and Roger François. 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Background is a map of the bathymetry. 45 White boxes with annotation 2, 3a-3d and 4a-4d locate the data shown in Figures 2-4. Fine lines are tracks where other wide-swath multibeam data have been collected. Red and purple vectors represent the mean current (scale top-left) recorded with long-term (>6 month) current meter deployments (>100 mab and <100 mab, respectively; adjacent values are meter altitudes above bottom). Star symbols locate the MANOP sites MC, MCD, MS and MM. Site B is a 197-day current meter measurement from a compilation of Demidova et al. (1996) reported by Morgan et al. (1999)). Colour-filled circles are values of Y (230Th “focusing factor”) for the Holocene reported by Kienast et al. (2007). Cross symbols are locations where tidal currents were calculated for Figure 8. (b) As (a) with the Last Glacial Maximum values for Y (Kienast et al., 2007) supplemented with values for the ODP Leg 138 sites 848-853 (McGee et al., 2007) (marked). Solid vectors show the sense of movement implied by geomorphologic features. Background is gridded water 14C anomaly (Key et al., 2004) for 4000 m depth obtained from the Carbon Dioxide Information Analysis Center (http://cdiac3.ornl.gov/las/servlets/dataset). (Mid-grey region under "East Pacific Rise" is shallower than 4000 m and contains no data.) 46 47 Figure 2. (a) Shaded relief map of multibeam echo-sounder swath bathymetry showing elongated troughs ("furrows") trending oblique to abyssal hill trends (dashed line). Contours are drawn every 50 m with 100 m in bold (depths 3800 and 3900 m are marked). Bathymetry grid has been further filtered with a Gaussian-weighted filter of full width 0.005˚. Sun illumination is from N055˚E. Bathymetry cross-sections A-A' etc are drawn at 8.75:1 vertical exaggeration. See electronic supplement for 10-m contoured version of this figure. (b) Knudsen chirp profile collected along the swath centre marked EE-E and E-E' in (a). 48 Figure 3. Shaded relief bathymetry showing examples of furrows (located in Figure 1a). Arrows mark features discussed in the text. Sun illumination directions are from (a) N300˚E, (b) N330˚E, (c)) N300˚E, and (d)) N300˚E. Dashed lines represent interpreted local orientation of abyssal hills. Curves marked "A" in (c) are centre-beam artifacts where the vessel was turning. See electronic supplement for contoured versions of these figures. 49 Figure 4. Shaded-relief maps of bathymetry data from on and just south of the equator (as Figure 2). Aside from some isolated current-generated features (such as those marked with arrows here), the data on and south of the equator show less geomorphologic evidence of currents. Sun illumination is from N325˚E in all these maps. Annotation "P" marks some sedimentary pits. See electronic supplement for contoured versions of these figures. 50 Figure 5. Selection of current meter records corresponding to the sites marked MS, (a,d), MC (b,e) and MCD (c) in Figure 1a (“mab” represents metres above bottom). North current is up on the page. The average current is shown by a white bar in (a), (b), (d) and (e). Measurement durations and other properties are given in Table 1. (f) Current speed variation with hours since deployment at start of the MANOP-C1 20 mab dataset illustrating effect of tidal cycles (vertical grid shown every 12.42 hours). This is a relatively quiescent part of the dataset, which elsewhere has a maximum speed of 24.66 cm s-1. The mean displacement over these 200 hours was to N358.7˚E (almost northward) and progressive vector diagram shows an initial southward movement followed by a greater northward movement. 51 52 Figure 6. Data from the MANOP-C sites. (a) Location of sites is shown on bathymetry (Ryan et al., 2009) contoured every 100 m with background shading from N030˚E (4000 m in bold). The map contains data from an earliergeneration multibeam system, which did not have the precision needed here to detect furrows. (b) Temperature records from the two deployments at C1 versus week from start. (c) Progressive vector diagrams (PVDs) computed from the current meter data. Solid circles plotted every week from the start, small open circles every 10 weeks (numbered in places to aid comparisons between records). PVD in uppermost-right is the C3 42 mab record after removing a uniform drift representing the annual mean movement. Data provided by the Buoy Group of the Oregon State University and originally collected with Aandraa RCM5 meters by J. Dymond as principal investigator. The 42 mab altitude for MANOP-C3 was estimated from instrument depth and bathymetry in (a) due to errors in file headers, hence this altitude may be inaccurate. 53 Figure 7. Current meter data from the MANOP-S sites, as Figure 6. (a) Progressive vector diagrams computed from the current meter data. Data provided by the Buoy Group of the Oregon State University and originally 54 collected with Aandraa RCM5 meters by J. Dymond as principal investigator. (b) Locations of sites on coarse bathymetry (Ryan et al., 2009). Figure 8. Scatter plots of one month of tidal currents calculated from the Oregon State University TPX06.2 global tide model (Egbert and Erofeeva, 2002) using MatlabTM Tide Model Driver software at the locations marked by cross symbols in Figure 1 and at the MANOP C and CD current meter sites. 55 Figure 9. (a) Geochemical 230Th deposition anomalies (focusing factors, Y) versus latitude for the equatorial region (109˚W to 140˚W) (Kienast et al., 2007; McGee et al., 2007; Siddall et al., 2008). Solid circles are Holocene values and open circles are LGM values. Bars on the left are representative uncertainties derived from data of (unfilled circles) Kienast et al (2007) for their LGM values and of (solid circles) McGee et al. (2007) for their Holocene values (1). Large grey-filled and open circles connected by solid lines are averages of Y-values (Holocene and LGM, respectively) over 1˚ of latitude centred on 0˚ and 1˚N. Smaller circles connected by dashed lines are similar averages after removing values highlighted by cross symbols (less reliable values due to potential local sediment transport). (b) Linear sedimentation rate averages for ten 100-k.y. intervals of the ODP Leg 138 line of drill sites at 110˚W obtained from the orbitally tuned timescale of Shackleton et al. (1995). Values have been 56 normalized to the peak value of Site 849 just north of the equator. Bold line represents the period 0-100 ka. (c) Similar graph to (b) though with data multiplied by dry bulk density data from the sites (Mayer et al., 1992b) to convert to mass accumulation rates. Figure 10. (a) Variation in averaged focusing factors across the equator (open circles) after removing sites potentially affected by local sedimentary transport. Dashed line shows averaged factors after reducing three values to illustrate effect of data uncertainty (see main text). Grey line is an estimate of the variation in Y produced by the particle flux effect (Siddall et al., 2008, their "control" model). (b) Standing stock counts of live foraminifera in net trawls in 57 the central equatorial Pacific around 140˚W (Watkins et al., 1996; Watkins et al., 1998) (http://www1.whoi.edu/eqpacobjects.html). Abundances were averaged over the depth interval 0-100 m for February-March 1992 (grey star symbols) and August-September 1992 (solid star symbols). (c) Carbonate fluxes (plus symbols) derived from sediment traps between 126˚W and 140˚W (Dymond and Lyle, 1994; Honjo et al., 1995). (d) Averaged bathymetry (Mitchell, 1998a) for the region 145˚W-105˚W. (e) Models of 230Th southward flux obtained from the core Y-values in (a) by solving equation (3) numerically with dy of 1.1 km. Solid line represents the whole-water column flux (from isopycnal diffusion, water advection and particle transport). Grey line represents the flux implied by the particle flux effect (PFE) modelled by Siddall et al. (2008), i.e., grey line in (a). Dashed line is the predicted meridional sediment-associated 230Th flux predicted by removing the PFE of Siddall et al. (2008). Dotted line shows a model illustrating the effect of data uncertainty (dotted line in (a)). Figure 11a: Figure 11b: 58 Figure 11. Total (dissolved and particulate) 230Th activity of water samples. Measurements were made available by R Anderson, Lamont-Doherty Earth Observatory at http://usjgofs.whoi.edu. Samples were collected along a meridional line at 140˚W. (a) Values versus water depth. Grey ellipse highlights elevated values near the bed discussed in the text. (b) Values were interpolated to the depths shown. Analytical uncertainties are smaller than symbol size. Upper graph shows estimates of vertical particle flux corrected to 2000 m depth from values compiled by Honjo et al. (2008) for the region 135˚W to 140˚W. Solid circles, open circles and cross symbols represent organic carbon, calcium carbonate and silica fluxes, respectively. 59 Figure 12. Water 230Th activities from Figure 11a with regression lines through data excluding lowermost samples. Arrows with associated values highlight the activity difference of deepest samples from the regression lines.