Covariance structure and morphometric analysis—A contribution to paleogenetics

A method of analysis of covariance structure proposed by A. P. Dempster complements, in some respects, a recently suggested procedure by the author. The method is based on the comparison of ratios of generalized statistical distances and distancelike quantities. An analysis of septivariate data on the foraminiferTextilina mexicana (Cushman) shows general differences in covariance structure in which the sample rest linear discriminators also differ. This difference in covariance structure is thought to be genetic in origin. Two species of Middle Devonian brachiopods,Martinia inflata (Schnur) andUncites gryphus von Schlotheim), also show differences in covariance structure—the former slightly, the latter strongly. This is further analyzed forUncites by the author's methods and good agreement between the two approaches obtained.     

Puu Hou littoral cones,Hawaii

The Puu Hou littoral cones, on the south shoreline of Hawaii, were built in 5 days by steam explosions from two narrow lava streams of the 1868 Mauna Loa lava flows as they entered the sea. Explosions occurred in localized areas of both streams, from foci that migrated seaward as the flow built jetties into the sea. Debris, radially ejected from the migrating explosion centers, fell partly on land and partly at sea, and thus formed crescent shaped rims (half-cones) on land which overlap one another. The half-cones are breached through their centers by debris-free basalt corridors, because fragments that fell onto the flowing lava were carried seaward beyond the accumulating rims.Gray and red clastic layers are draped smoothly over the rim areas; thus the rims resemble anticlinal arches in cross section. Some beds can be traced from clastic layers on the ridges into irregular agglomeratic masses interbedded with basalt units of the source lava near the foci. The lower layers in the clastic sequence contain less olivine than those high in the sequence, which corresponds in time to an increasing olivine content during the 5 day flow, as recognized in the source lava.Fragments are angular to subangular blocks, lapilli and ash of crystalline basalt mixed with more abundant quickly chilled cognate material of similar sizes. The ash is mostly sideromelane in angular particles and rounded droplets (5–95%), tachylite (2–70%), crystalline basalt (1–40%), and broken olivine phenocrysts (1–9%). In some samples, the sideromelane droplets are partly oxidized on their surfaces, and internally are dark brown (R. I.=1.610–1.616), possibly due to dehydration and/or oxidation during the explosions. Samples with externally oxidized glass also contain etched olivine crystals and some iddingsite. Unaltered sideromelane droplets are pale yellowish-brown with R. I.=1.592–1.600, and are associated with unaltered, angular to subangular olivine crystals. The refractive index of the unaltered sideromelane droplets is the same as sideromelane crusts of pahoehoe on the lava flow farther inland, suggesting that the droplets are not hydrated or highly oxidized. None of the sideromelane fragments are palagonitized, presumably because little or no hydration has taken place since 1868.

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Zusammenfassung Die littoralen Spratzkegel von Puu Hou an der Südküste von Hawaii sind innerhalb von 5 Tagen durch Dampfexplosionen in zwei naheliegenden Lavaströmen des Mauna Loa-Ausbruches im Jahre 1868 entstanden, als diese das Meer erreichten. Die Explosionen traten in eng begrenzten Bereichen beider Ströme auf; die Explosionsherde wanderten mit den Lavaströmen seewärts, wobei sich Landzungen in den Ozean bauten. Aus den seewärts wandernden Explosionsherden wurden Fragmente ausgeworfen, die teilweise auf das Land und in den Ozean fielen; es formten sich dabei halbkreisartige Ränder (Halbkegel), die sich am Land überlappen. Die Halbkegel sind in der Mitte von Basaltkorridoren durchbrochen, die frei von Explosionsfragmenten sind, da diese in die strömende Lava fielen und seewärts abtransportiert wurden.Graue und rote pyro-klastische Sedimentlagen legen sich über die Randzonen der Halbkegel, so daß sie im Querschnitt wie Antiklinalstrukturen aussehen. Einige dieser Schichten können mit klastischen Lagen vom randlichen Saum bis zu irregulären Agglomeratmassen verfolgt werden, die zwischen die Basalte nahe der Explosionsherde eingeschaltet sind. Die tieferen Lagen der klastischen Sedimente enthalten weniger Olivin als die höher liegenden. Dieses entspricht einem sich zeitlich vermehrenden Olivingehalt während der fünftägigen Ausbruchszeit, wie er auch in der Originallava erkannt werden kann.Die Bruchstücke bestehen aus angularen bis subangularen Blöcken, Lapilli und Kristallaschen, die mit rasch erkalteten Lavafetzen ähnlicher Korngröße vermischt sind. Die Asche enthält hauptsächlich Sideromelan in eckigen Bruchstücken und gefundeten Tröpfchen (5–95%), Tachylyt (2–70%), Kristallbasalt (1–40%) und zerbrochene Olivineinsprenglinge (1-9%).In einigen Proben sind die Sideromelantröpfchen teilweise auf ihren Oberflächen oxydiert und im Inneren möglicherweise durch Dehydrierung und/oder Oxydation während der Explosionen dunkelbraun gefärbt (R. I.=1.610-1.616).Proben mit äußerlich oxydiertem Glas enthalten auch angeätzte Olivinkristalle und einigen Iddingsit. Unveränderte Sideromelantröpfchen sind blaß gelblichbraun gefärbt (R. I.=1.592–1.600) und mit unveränderten, eckigen bis subangolaren Olivinkristallen vergesellschaftet. Der Brechungsindex der unveränderten Sideromelantröpfchen ist derselbe wie von Sideromelankrusten auf den Lavaströmen Pahoehoes. Daraus kann gefolgert werden, daß die Tröpfchen nicht hydratisiert oder stark oxydiert sind. Die Sideromelanbruchstücke enthalten keinen Palagonit, weil seit 1868 wahrscheinlich wenig oder gar keine Hydratisierung mehr stattgefunden hat.

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Résumé Les cônes littoraux Puu Hou, sur la côte sud d'Hawai' ont été créés en cinq jours par les explosions de vapeur de deux branches étroites de la coulée de lave de Mauna Loa en 1868 lorsqu'elle entrait en contact avec la mer. Les explosions se sont produites dans des points localisés des deux branches de la coulée à partir du centre avançant en direction de la mer à mesure que la lave y construisait des jetées. Les débris projetés à la ronde depuis les centres d'explosion mobiles tombèrement en partie sur terre et en partie en mer formant ainsi sur le sol des bourrelets en forme de croissants (demi-cônes) qui s'entrecoupent. Les demi-cônes sont traversés dans leur centre par des couloirs de basalte dépourvus de débris, les fragments tombés dans la coulée de lave ayant été entraînés vers la mer au delà des bourrelets d'accumulation.Les couches élastiques grises et rouges sont drapées d'une manière égale au-dessus de la zone des bourrelets. Elle ressemble ainsi à des arches anticlinales en coupe. Certains lits peuvent être retracés à partir des couches élastiques sur les crêtes jusqu'à des masses agglomérées irrégulières mélangées à des éléments de basalte de la lave mère. Les couches inférieures de la séquence élastique contiennent moins d'olivine que les couches supérieures ce qui correspond à un accroissement de la proportion d'olivine pendant les 5 jours ue coulée, comme le lit de lave indique.Les fragments sont des blocs angulaires à sous-angulaires, des lapilli et de la cendre de basalte cristallin, mêlés à des matériaux apparentés de taille semblable, plus abondants et rapidement refroidis. La cendre est composée principalement de sidéromélane en particules anguleuses ou en gouttelettes rondes (5–95%), de tachylite (2–70%), de basalte cristallin (1–40%) et d'olivine phénocristale brisée (1–9%). Dans quelques échantillons, les gouttelettes de sidéromélane sont en partie oxydées à la surface et brun-foncé à l'intérieur (R. I.=1.610–1.616), peut-être par suite de déshydratation e/ou oxydation pendant l'explosion. Les échantillons comportant extérieurement du verre oxydé contiennent des cristaux d'olivine attaqués et une certaine proportion d'iddingsite. Les gouttelettes de sidéromélane intactes, sont d'un jaune-brun pâle, R. I.=1.592-1.600, et sont associées à des cristaux d'olivine non-attaquées, angulaires à sous-angulaires. L'indice de réfraction des gouttelettes intactes de sidéromélane est le même que celui de la croûte de sidéromélane du pahoehoe dans la coulée de lave plus à l'intérieur de l'île, suggérant que les gouttelettes ne sont pas hydratées ou très oxydées. Aucun des fragments de sidéromélane n'est palagonisé, sans doute parce que depuis 1868 il n'y a eu que peu ou pas d'hydratation.

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, 1868 Puu Hou . Ha , .

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Dedicated to Professor Dr. A.Rittmann on the occasion of his 75. birthday     

Lake Kivu: structure,chemistry and biology of an East African rift lake

Geophysical, geochemical and biological data are integrated to unravel the origin and evolution of an unusual rift lake. The northern basin of Lake Kivu contains about 0.5 km of sediments which overlie a basement believed to be crystalline rocks of Precambrian age. Volcanic rocks at the northern end of the lake have created large magnetic anomalies of up to 300. Heat flow varies from 0.4 to 4 hfu. The extreme variability may be due in part to sedimentation or recent changes in the temperature of the bottom water. Sharp boundaries in the vertical temperature and salinity structure of the water across the lake can best be explained as separate convecting layers. Such convecting cells are the result of the increase in both temperature and salinity with depth.Concentrations of the major dissolved gases in the deep water, CO₂ and CH₄, approach saturation but do not exceed it at any depth. The salts are supplied mainly by hydrothermal discharges at the bottom of the lake which we calculate to have a salinity of 4 which is about 60% higher than the salinity of the bottom water. The annual discharge at the present time is about 0.5 km³. Zinc anomalies in the water are explained by the accumulation of sphalerite-containing globules at certain depths.Stratigraphic correlation of sediments is possible across the entire lake, based on physical, geochemical and paleontological criteria. Sedimentation rates are of the order of 30 cm/1000 years implying a Pliocene age for the deepest part of the lake. Periods of hydrothermal activities and heightened volcanism, as recorded in the sediments, appear to have coincided with pluvial times.Enrichment of the surface waters of Lake Kivu by nutrients has led to explosive speciation in the diatom genusNitzschia. Several new types of methane oxidizing and-producing bacteria were isolated. Bacterial degradation of recent plankton appears insufficient to explain the amount of methane in the lake, and some of it is derived diagenetically.

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Zusammenfassung Geophysikalische, geochemische und biologische Daten werden vorgelegt und miteinander in Beziehung gebracht, um einen besseren Einblick in Entstehung und Evolution eines ungewöhnlichen Sees zu gewinnen. Das nördliche Becken des Kivu-Sees enthält Sedimente von etwa 0,5 km Mächtigkeit, die dem präkambrischen kristallinen Grundgebirge überlagert sind. Die im Norden des Sees vorliegenden vulkanischen Gesteine erklären die hohen magnetischen Anomalien, die bis zu 300 betragen. Der Wärmefluß schwankt zwischen 0,4 und 4 cal/cm²/sec. Diese Schwankungsbreite erklärt sich zum Teil aus den Sedimentationsverhältnissen oder den lokalen Temperaturveränderungen im Tiefenwasser. Scharfe Grenzflächen in der vertikalen Temperatur- und Salinitätsstruktur des Wassers über den Gesamtsee sind das Ergebnis von Konvektion, die zu übereinanderliegenden Konvektionszellen führt, in denen jeweils Temperatur und Salinität konstant sind. Die Bildung, Anzahl und Stabilität solcher Zellen hängt von dem Verhältnis der durch Temperatur und Salzgehalt hervorgerufenen Dichteveränderungen ab.Die Konzentrationen der im Tiefenwasser gelösten Gase, d. h. von Kohlendioxyd und Methan, liegen für alle Tiefen unterhalb der Löslichkeit. Die vorliegenden Salze entstammen weitgehend hydrothermalen Lösungen, die dem Seeboden entweichen und deren Salinität etwa 4 beträgt; der Vergleichswert für das Tiefenwasser beträgt 2,5 Diese hydrothermalen Ausschüttungen haben eine Größe von etwa 0,5 km³ pro Jahr, was etwa ein Tausendstel des Gesamtseevolumens ausmacht. Zinkanomalien im Wasser sind ebenfalls hydrothermal bedingt.Physikalische, geochemische und paläontologische Indikatoren erlauben eine stratigraphische Korrelation aller Sedimentkerne. Die Sedimentationsraten liegen bei 30 cm/ 1000 Jahren, und ein pliozänes Alter errechnet sich daraus für das tiefe nördliche Becken. Perioden hydrothermaler Aktivitäten und verstärkter vulkanischer Tätigkeit, die sich in den Sedimenten nachweisen lassen, scheinen mit Pluvialzeiten zu koinzidieren.Die Anreicherung der Oberflächenwässer vom Kivusee durch Mineralstoffe führte zu einer explosionsartigen Spezisierung in der GattungNitzschia. Verschiedene neue Arten von Methan-oxidierenden und -produzierenden Bakterien wurden isoliert. Das Auftreten von Methan ist zum Teil bakteriell und zum Teil diagenetisch bedingt.

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Résumé Des données géophysiques, géochimiques et biologiques sont présentées et collationnées pour donner une vue meilleure sur l'origine et l'évolution d'un lac particulier de la «Rift valley». La baie septentrionale du lac Kivu contient environ 500 mètres de sédiments qui recouvrent le socle cristallin d'âge précambrien. Des épanchements volcaniques au Nord du lac expliquent les fortes anomalies magnétiques qui atteignent 300. Les valeurs du flux thermique varient entre 0.4 et 4 cal/cm²/sec. Cette importante variation s'explique en partie par la sédimentation ou par des changements locaux de la température de l'eau de fond. Des surfaces-limites brusques dans la structure verticale de la répartition de la température et de la salinité de l'eau dans l'étendue du lac sont dûs à la convection; celle-ci conduit à la superposition de cellules de convection dans lesquelles la température et la salinité sont constantes. La formation, le nombre et la stabilité de telles cellules dépendent du rapport des variations de densité dues à la température et à la teneur en sels.Les concentrations des gaz dissouts dans l'eau profonde, en l'occurrence CO₂ et CH₄, sont, à toute profondeur, inférieures à la saturation. Les sels minéraux proviennent surtout de solutions hydrothermales qui émanent du fond du lac, et dont la salinité est voisine de 4; la valeur comparative pour l'eau profonde est de 2,5. L'apport annuel de ces sources est de l'ordre de 0,5 km³, soit 1/1000 du volume total du lac. Les teneurs anormales en Zn sont dues également à ce caractère hydrothermal.Des données physiques, géochemiques et paléontologiques permettent la corrélation stratigraphique des sédiments. Les vitesses de sédimentation sont de l'ordre de 30 cm/1000 ans, donnant ainsi un âge pliocène pour la partie profonde de la baie septentrionale. Les périodes d'activité hydrothermale et de renforcement de la vulcanicité qui se manifestent dans les sédiments, semblent coïncider avec les périodes pluviales.L'enrichissement des eaux de surface du lac Kivu en substances minérales a entraîné un développement explosif des diatomées, en particulier du genreNitzchia. Différentes espèces nouvelles de bactéries oxydant et produisant CH₄ ont été isolées. La présence de méthane est due en partie à la destruction du plancton par les bactéries et en partie à une transformation diagénétique.

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, , . Kivu 0,5 , . , 300 . 0,4 4 (²) . , . . , , , . , . . _{2 4} . , 4%. 2,5%. 0,5 ³, , 1/1000 . ., . 30 /1000 , . . . , , , . Kivu Nitzschia. , . , — .

     

Integrating GB and US census microdata for studying the impact of family migration on partnered women's labour market status

This paper investigates the problems in integrating different data sets for social science research. A cross-national analysis of the effects of family migration on labor market participation rates for female partners was used as an example to concretize these problems. The data used in the cross national analysis came from the 1991 British Census Sample of Anonymised Records and the 1990 United States Public Use Microdata Sample. The problems addressed were the following: data collection; manipulation and reliability; question type and definition; and measurement of individual and family variables. As part of the analysis, some empirical findings were also presented. Significant overall differences between the US and Great Britain (GB) samples were observed, particularly concerning graduate qualifications, marital and employment status, and ethnic group. There were higher numbers of married partners and full-time workers in the US sample, while female partners undertaking part-time employment were greater in GB. Furthermore, the US sample had more couples with a female graduate as compared with the GB sample who had a higher proportion of nongraduate couples. Finally, this paper recognized the importance of cross- national research in the evaluation of national ideological and institutional structures.     

Estimating Petroleum Resources Using Geo-Anchored Method--A Sensitivity Study

The Geo-anchored method, based on a moment-type estimator, has been developed for estimating parent population properties from a successive sample of discoveries. By substituting the expectation of the waiting time z _(n+1) of the (n + 1) ^th discovery to occurrence for an unknown parameter in the anchored method, the Geo-anchored method allows estimation of inclusion probabilities directly from observed data, thus eliminating the need for a priori selection of a value of N, R, or some other feature of the parent population. Because direct estimation of N and R requires an ordered sample, the Geo-anchored method is more sensitive to the data-generating process than the anchored method. This paper presents a sensitivity study on the Geo-anchored method. The test is based on simulated discovery sequences with different assumptions regarding discovery efficiency, exploration maturity, and the shape of the parent field size distribution. As a reference for comparison, estimates from the Horvitz–Thompson estimator also are presented.     

The constrained normal form algorithm

This paper describes an algorithm which brings a regularizable polynomial perturbation of a three degree of freedom Kepler problem into a normal form which Poisson commutes with the Kepler Hamiltonian. We illustrate the alogrithm with an example: the quadratic Zeeman effect. For other applications of this algorithm see [1],[4], and [5]. The authors have written a program in MAPLE which implements the constrained normal form.     

The formation of Mg i 4571 Å in the solar atmosphere

An analysis of the 4571 Å line of neutral magnesium is presented in which one-dimensional macroscopic velocity fields are included. It is shown that gradients over restricted heights in the vertical and horizontal components of the velocity field of order -0.005 s^–1 and -0.004 s^–1 (such that velocity towards the observer decreases as height increases), respectively, result in asymmetries in the computed line profile similar to those observed. The heights in the solar atmosphere at which these velocity gradients exist are shown to be very critical in reproducing the observations. It was found that the best results were obtained when the gradients existed in the height range from 200 km to 300 km below the temperature minimum. The results indicate that for the Mg i 4571 Å line model calculations that do not include one-dimensional flow velocities may safely be compared with frequency-averaged observations.     

Solar soft X-rays and solar activity

Flare-associated soft X-ray bursts (8–12 Å) are examined for 283 events observed by OSO-III. These bursts are shown to be predominantly thermal in nature. Their time-profiles are roughly similar to those of the associated H flares, although the X-ray burst begins about two minutes earlier, on the average. The strength of the soft X-ray burst is directly related to the area and brilliance of the flare, the age and flare-richness of the associated plage, and the general level of solar activity at the time of the burst. The peak enhancements in the soft X-ray and H emission rates during flares are of the same order of magnitude, as are the total flare energies radiated at these wavelengths. We estimate that soft X-radiation accounts for up to 10% of a flare's total electromagnetic emission.NRC/NAS Resident Research Associate.     

Gravity-gradient stabilization of gyrostat satellites with rotor axes in principal planes

Three special classes of equilibrium orientations of gyrostat satellites subject to gravitational torques have been treated in the literature. Here we find the set of all equilibria for a restricted class of gyrostat configurations. Those configurations for which the internal angular momentum vector (or the rotor axis) is aligned with a principal axis have been treated in a separate work, where it is shown that at one, and only one, rotor speed there exists a continuum of equilibrium orientations. When the rotor axis is moved away from a principal axis in such a way that it is contained in a plane formed by two principal axes, it is shown that the continuum disappears, and we have a new set of eight equilibrium orientations which have not previously been described. The stability of these orientations is then investigated using the Hamiltonian as a Liapunov testing function. For properly chosen satellite inertia ratios some of these orientations are stable, and might be used in future gravitygradient stabilized satellites.This research is sponsored by the United States Air Force under Project RAND-Contract No. F44620-67-C-0045-monitored by the Directorate of Operational Requirements and Development Plans, Deputy Chief of Staff, Research and Development, Hq. USAF. Views or conclusions contained in this study should not be interpreted as representing the official opinion or policy of the United States Air Force. The material presented here was originally published in RAND Corporation Memorandum RM-5921-PR. The author wishes to acknowledge his indebtedness to Dr. R. E. Roberson for helpful discussions, and for suggesting a research area, part of which is treated here.