Investigations on maar-diatreme volcanoes by inversion of magnetic and gravity data from the Eifel area, Germany

A study of maar-diatreme volcanoes has been perfomed by inversion of gravity and magnetic data. The geophysical inverse problem has been solved by means of the damped nonlinear least-squares method. To ensure stability and convergence of the solution of the inverse problem, a mathematical tool, consisting in data weighting and model scaling, has been worked out. Theoretical gravity and magnetic modeling of maar-diatreme volcanoes has been conducted in order to get information, which is used for a simple rough qualitative and/or quantitative interpretation. The information also serves as a priori information to design models for the inversion and/or to assist the interpretation of inversion results. The results of theoretical modeling have been used to roughly estimate the heights and the dip angles of the walls of eight Eifel maar-diatremes — each taken as a whole. Inversemodeling has been conducted for the Schönfeld Maar (magnetics) and the Hausten-Morswiesen Maar (gravity and magnetics). The geometrical parameters of these maars, as well as the density and magnetic properties of the rocks filling them, have been estimated. For a reliable interpretation of the inversion results, beside the knowledge from theoretical modeling, it was resorted to other tools such like field transformations and spectral analysis for complementary information. Geologic models, based on thesynthesis of the respective interpretation results, are presented for the two maars mentioned above. The results gave more insight into the genesis, physics and posteruptive development of the maar-diatreme volcanoes. A classification of the maar-diatreme volcanoes into three main types has been elaborated. Relatively high magnetic anomalies are indicative of scoria cones embeded within maar-diatremes if they are not caused by a strong remanent component of the magnetization. Smaller (weaker) secondary gravity and magnetic anomalies on the background of the main anomaly of a maar-diatreme — especially in the boundary areas — are indicative for subsidence processes, which probably occurred in the late sedimentation phase of the posteruptive development. Contrary to postulates referring to kimberlite pipes, there exists no generalized systematics between diameter and height nor between geophysical anomaly and the dimensions of the maar-diatreme volcanoes. Although both maar-diatreme volcanoes and kimberlite pipes are products of phreatomagmatism, they probably formed in different thermodynamic and hydrogeological environments. In the case of kimberlite pipes, large amounts of magma and groundwater, certainly supplied by deep and large reservoirs, interacted under high pressure and temperature conditions. This led to a long period phreatomagmatic process and hence to the formation of large structures. Concerning the maar-diatreme and tuff-ring-diatreme volcanoes, the phreatomagmatic process takes place due to an interaction between magma from small and shallow magma chambers (probably segregated magmas) and small amounts of near-surface groundwater under low pressure and temperature conditions. This leads to shorter time eruptions and consequently to structures of smaller size in comparison with kimberlite pipes. Nevertheless, the results show that the diameter to height ratio for 50% of the studied maar-diatremes is around 1, whereby the dip angle of the diatreme walls is similar to that of the kimberlite pipes and lies between 70 and 85°. Note that these numerical characteristics, especially the dip angle, hold for the maars the diatremes of which — estimated by modeling — have the shape of a truncated cone. This indicates that the diatreme can not be completely resolved by inversion.

Frugivores, seed dispersal and tree regeneration along a human disturbance gradient in East African tropical rainforests

Samenausbreitung und Regeneration von Bäumen sind wichtig für den langfristigen Bestand von Baum- und Frugivorengemeinschaften in tropischen Regenwäldern. Zunehmende Rohdung und Degradation gefährden den Ablauf dieser mutualistischen Prozesse in diesem Ökosystem. Um den Einfluss von kleinräumiger menschlicher Störung auf die Frugivorengemeinschaft und die zentralen Ökosystemprozesse Samenausbreitung und Regeneration zu erforschen, habe ich 1) die Frugivorengemeinschaft und die Samenausbreitungsrate von Celtis durandii (Ulmaceae) und 2) den Zusammenhang zwischen Baumarten mit fleischigen Früchten, Frugivoren und der Etablierung von Keimlingen dieser Baumarten in unterschiedlich stark gestörten Flächen dreier ostafrikanischer tropischer Regenwälder untersucht. Insgesamt konnte ich 40 frugivore Vogel- und Primatenarten in den drei untersuchten Waldgebieten nachweisen. Auf gering gestörten Flächen wurden mehr Frugivore als auf stark gestörten Flächen aufgenommen. Auch die Beobachtungen an C. durandii ergaben mehr frugivore Besucher in Bäumen auf gering gestörten als auf stark gestörten Flächen. Dies führte zu einer marginal signifikant höheren Samenausbreitungsrate auf den gering gestörten Flächen. Diese Ergebnisse waren auf regionaler Ebene in allen drei untersuchten Wäldern konsistent. Dies zeigt, dass kleinräumige Störung einen umfassenderen negativen Einfluss auf Frugivore und ihre Funktion als Samenausbreiter hat als zuvor angenommen. Bei der Vegetationserfassung nahm ich 131 verschiedene Baumarten mit fleischigen Früchten in den drei Regenwäldern auf. Kleinräumige menschliche Störung erhöhte den Artenreichtum dieser Baumarten marginal signifikant, hatte jedoch keinen direkten Einfluss auf die Frugivorendichte und den Artenreichtum von Keimlingen dieser Baumarten. Der Artenreichtum von Baumarten mit fleischigen Früchten zeigte einen marginal signifikant positiven Einfluss auf die Frugivorendichte, allerdings nicht auf die Keimlinge. Allerdings führte die Dichte der Frugivoren zu signifikant erhöhtem Artenreichtum der Keimlinge. Folglich scheint kleinräumige Störung die Keimlingsetablierung indirekt durch erhöhten Baumartenreichtum und erhöhte Frugivorendichte zu beeinflussen. Die Frugivorendichte hatte einen größeren Einfluss auf die Waldregeneration als kleinräumige Störung und Baumartenreichtum. Demnach scheint kleinräumige menschliche Störung sowohl positive als auch negative Effekte auf Samenausbreitung und Regeneration zu haben. Somit sind weitere Studien notwendig, die den Einfluss von kleinräumiger menschlicher Störung auf Mutualismen tropischer Regenwälder aufklären.

Quantum gravity effects in rotating black hole spacetimes

The aim of this work is to explore, within the framework of the presumably asymptotically safe Quantum Einstein Gravity, quantum corrections to black hole spacetimes, in particular in the case of rotating black holes. We have analysed this problem by exploiting the scale dependent Newton s constant implied by the renormalization group equation for the effective average action, and introducing an appropriate "cutoff identification" which relates the renormalization scale to the geometry of the spacetime manifold. We used these two ingredients in order to "renormalization group improve" the classical Kerr metric that describes the spacetime generated by a rotating black hole. We have focused our investigation on four basic subjects of black hole physics. The main results related to these topics can be summarized as follows. Concerning the critical surfaces, i.e. horizons and static limit surfaces, the improvement leads to a smooth deformation of the classical critical surfaces. Their number remains unchanged. In relation to the Penrose process for energy extraction from black holes, we have found that there exists a non-trivial correlation between regions of negative energy states in the phase space of rotating test particles and configurations of critical surfaces of the black hole. As for the vacuum energy-momentum tensor and the energy conditions we have shown that no model with "normal" matter, in the sense of matter fulfilling the usual energy conditions, can simulate the quantum fluctuations described by the improved Kerr spacetime that we have derived. Finally, in the context of black hole thermodynamics, we have performed calculations of the mass and angular momentum of the improved Kerr black hole, applying the standard Komar integrals. The results reflect the antiscreening character of the quantum fluctuations of the gravitational field. Furthermore we calculated approximations to the entropy and the temperature of the improved Kerr black hole to leading order in the angular momentum. More generally we have proven that the temperature can no longer be proportional to the surface gravity if an entropy-like state function is to exist.