Nachocho — an example of the change of the living sphere of the Maasai of Northern Tanzania

The example of Nachocho's enkang shows the recent socio-economic changes taking place in the southern Maasai Steppe of N Tanzania. The initial point is the traditional living community in the enkang and the form of pastoralism which are the basis of the economic and social security systems of the Maasai. The state land use policy, however, leads to the strong restriction of the grazing potential. In order to secure land titles for themselves, the Maasai try to pursue agropastoral activities, although they have had, until recently, no contact or experience with farming at all. In this transitional situation, their old pastoral economic basis is strongly endangered, although no useful alternative has been found, so far. For the Maasai of the Tanzanian Steppe a process of impoverishment is thus being triggered off.     

On a new proof of Moser's twist mapping theorem

Based on a new idea of the author, a new proof of J. Moser's twist mapping theorem is presented.     

Der Prozeß der Anatexis: Seine Bedeutung für die Genese der Migmatite

Zusammenfassung Gegenüber den metasomatisch-transformistischen Vorstellungen über die Genese der in situ-Migmatite wird dargelegt, daß allein Anatexis von Gneisen. ohne großräumige Metasomatose, die Entstehung der Migmatite erklärt. Der Prozeß der Anatexis wird erläutert, und es wird mittels des Q-Ab-An-Or-H₂O-Systems gezeigt, daß die Zusammensetzung der entstehenden eutektischen Erst-schmelze bei verschiedenen Gneisen verschieden und zwar um so reicher an Or-und auch Q-Komponente ist, je größer das normative An/Ab-Komponentenverhältnis des Gneises ist. Selbst wenn kein Alkalifeldspat in einem Paragneis vorkommt, enthält die jeweilige eutekiische Schmelze einen großen Anteil an Or-Komponente. Durch Reaktionen von Glimmer mit Quarz unter Beteiligung von Plagioklas entsieht nämlich bei nicht zu hohen Drucken Alkalifeldspat noch vor Beginn der Anatexis, bei höheren Drucken entstehtmit Beginn der Anatexis Or-Komponente, die in der Schmelze gelöst ist. Die Glimmer eines Paragneises sind eine potentielle Quelle für Or-Komponente bei der Anatexis. Mit steigender Temperatur ändert sich die Zusammensetzung der eutektischen granitischen Schmelze, und zwar wird sie bei den plagioklas- und biotitreichen Paragneisen granodioritisch oder sogar trondhjemitisch. Wenn dagegen in einem Gneis der K₂O-Gehalt nicht wesentlich geringer als der Na₂O-Gehalt ist, dann behält die Schmelze eine granitische Zusammensetzung.

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Summary Contrary to the metasomatic transformists' concepts, it is pointed out that the petrogenesis of in situ-migmatites can be fully understood solely by anatexis of gneisses without large scale metasomatism. The process of anatexis is outlined. It is shown with the help of the Q-Ab-An-Or-H₂O system that the chemical composition of the eutectic melt formed at the beginning of anatexis is different, depending on the normative An/Ab-ratio of any gneiss; the eutectic melt contains relatively more Or- and also Q-component the larger that ratio. Even if no alkalifeldspar is present in a paragneiss, the eutectic melt formed by anatexis does contain a large proportion of Or-component. This is due to reactions of micas with quartz, in presence of plagioclase. At pressures not too high, alkalifeldspar is formed by these reactions somewhat below the temperature of the beginning of anatexis, while at higher H₂O-pressure mica reacts together with plagioclase and quartz at the very beginning of anatexis, furnishing Or-component for the eutectic melt. Therefore, the micas are a potential source for Or-component in the process of anatexis. Depending on the composition of a gneiss system the anatectic melts existing at temperatures above the beginning of anatexis remain granitic in chemical character, or they become granodioritic or trondhjemitic.

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Herrn Prof. Dr.H. Leitmeier zum 80. Geburtstag gewidmet.     

Kristallform und Gitterkonstanten von 2,6-Bis-(2-hydroxy-3,5-dimethyl-benzyl)-3,5-dimethyl-phenol,C26H30O3

Inhalt Die untersuchte Substanz ist triklin. Zur kristallographischen Beschreibung werden die reduzierten Zellen nachDelaunay bzw.Dirichlet sowie eine morphologische Aufstellung benützt.Mit 3 Textabbbildungen     

Time-series analysis in cyclic stratigraphy: An example from the Cretaceous of the Southern Alps, Italy

The importance of time-series analysis in cyclic stratigraphy is evaluated by comparing three different methods (adaptive multiple taper spectral analysis, auto-/cross-correlation analysis, cova functions) applied to stratigraphic time series from the Early Cretaceous Cismon section in northern Italy. Carbonate content and magnetic susceptibility vary in a quasi-cyclic fashion in this pelagic limestone section and are almost perfectly negatively correlated. The spectral technique requires a high degree of preprocessing of the original data (interpolation and resampling at a regular interval, filtering, inversion) which introduces smoothing and rounding errors. The statistical correlation analysis also requires evenly and (for cross-correlation) correspondingly spaced series. The geostatistical cova functions (a generalization of the cross-variogram) prove to be the most versatile and robust of the methods compared. Cova functions can be calculated from unevenly and noncor-respondingly spaced time series without any preprocessing. This method also retains relatively more of the signal if noise and extreme outliers obscure the picture. The periodicities detected in the Cismon time series fall in the range of Milankovitch cycles. Cycle periods of 45 cm and 80 cm likely correspond to dominant precession and obliquity cycles. Due to the inaccuracy of the Cretaceous time scale periods cannot be matched exactly yet, but cycle ratios are close to expected ratios so that there is great potential for future cyclostratigraphic work to contribute to a substantial improvement of the geologic time scale.     

A new cluster algorithm for orientation data

An algorithm to classify data points on the sphere in distinct cluster groups is defined. The characteristics of the cluster groups and the rule for assigning data to the groups are related to a continuous differentiable density estimation. The modes of the estimated density are assumed to be representative of the groups; data points are then assigned to the mode reached by the steepest ascent. The major advantage of this procedure is its sensitivity in detecting cluster groups independently of their geometry and configuration. As a consequence, the procedure is capable of handling orientation data that may be arranged in girdles.