First and second moments of non-linear least-squares estimators

The first two moments of non-linear and least-squares estimators are studied. Approximate expressions for the moments are derived and discussed. The results are compared with those ofJeudy [1988].     

Linear volcanoes along the Pacific-Cocos plate boundary, 9°N to the Galapagos triple junction

A Seabeam-based reconnaissance of the 500 km of the East Pacific Rise crest between 7°N and 2°40′N shows that the axial ridge is segmented by four 4–13 km non-transform offsets into an en echelon string of distinctively different linear volcanoes. These axial volcanoes are oriented orthogonal to relative plate motion, except where their overlapping ends veer 15° toward each other and where small intra-volcano offsets of their crestal rift zones create abrupt kinks. Longitudinal gradients of the crestlines are less than 5 m/km, except where they plunge at rift-zones' overlapped ends and where they rise locally to small axial peaks. Transverse profiles vary from trapezoidal to triangular, with a steep shield-shaped cross-section being most common. Conventional sounding data indicate that this pattern continues to the 140 km-offset Siqueiros transform fault system at 8.2°N. Within this fault system is a short spreadingcenter volcano contained in a rift valley that links two strike-slip fault zones. Immediately to the north is the shallow 9.0°–8.3°N axial volcano, with unusual relief mapped by a deeply towed instrument package. At the southern end of the plate boundary, as the rise crest enters the region of the Pacific-Cocos-Nazca triple junction, the axial ridge narrows, deepens, and acquires a more irregular long profile. South of 2°30′N the rise crest has a 15 km-wide rift valley that contains multiple volcanic ridges with north-south strikes. Structural hypotheses suggested or supported by these morphologic observations include a point-source magma supply to the spreading center from mantle diapirs, the along-strike continuity of axial magma chambers on fast-spreading rises, even across small rift-zone offsets, and the importance of magma intrusion as well as eruption for building the axial ridge. Hypotheses inconsistent with the new data include magma supply and long-distance dispersal from a few widely spaced plumes, primary control of the topographic, volcanic, and tectonic characteristics of the rise crest by distance from transform faults, and localization of triple junctions over major mantle upwellings.     

Lead analysis of sediment cores from seven Connecticut lakes

Lead analyses were performed on sediment cores from seven Connecticut lakes by dilute acid leaching. The absolute concentrations of lead varied from core to core, but the lead profiles were similar in all of the cores, and each depicted a point where the concentration of lead sharply increased above background levels. The background lead concentrations observed in the bottom portions of the cores ranged from 12-54 g Pb/g sediment with a mean of 30 g Pb/g, and increased to a mean maximum of 310 g Pb/g. In six of the lakes significant increases above background levels were not noted until between 1924 and 1952, suggesting that, at least for Connecticut lakes, the point in a lake sediment core where the concentration of lead began to increase was after ca. 1924, and on average about 1930. Lead concentrations declined in the surface sediments of only three of the lakes, mostly since the 1980's, and presumably in response to the phasing out of leaded gasoline. However, significant declines in lead concentrations were not observed in the remaining cores, possibly due to increased motor vehicle use within the airshed of the lakes and/or changes in the export of lead to the lakes from their watersheds.     

A crustal seismic velocity model for the UK, Ireland and surrounding seas

A regional model of the 3-D variation in seismic P -wave velocity structure in the crust of NW Europe has been compiled from wide-angle reflection/refraction profiles. Along each 2-D profile a velocity–depth function has been digitised at 5 km intervals. These 1-D velocity functions were mapped into three dimensions using ordinary kriging with weights determined to minimise the difference between digitised and interpolated values. An analysis of variograms of the digitised data suggested a radial isotropic weighting scheme was most appropriate. Horizontal dimensions of the model cells are optimised at 40 × 40 km and the vertical dimension at 1 km. The resulting model provides a higher resolution image of the 3-D variation in seismic velocity structure of the UK, Ireland and surrounding areas than existing models. The construction of the model through kriging allows the uncertainty in the velocity structure to be assessed. This uncertainty indicates the high density of data required to confidently interpolate the crustal velocity structure, and shows that for this region the velocity is poorly constrained for large areas away from the input data.