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Integral Fourier operators
(2017)
This volume of contributions based on lectures delivered at a school on Fourier Integral Operators
held in Ouagadougou, Burkina Faso, 14–26 September 2015, provides an introduction to Fourier Integral Operators (FIO) for a readership of Master and PhD students as well as any interested layperson. Considering the wide
spectrum of their applications and the richness of the mathematical tools they involve, FIOs lie the cross-road of many a field. This volume offers
the necessary background, whether analytic or geometric, to get acquainted with FIOs, complemented by more advanced material presenting various aspects of active research in that area.
Rezensiertes Werk
Theresa Biberauer u. George Walkden (Hgg.): Syntax over Time: Lexical, Morphological, and Information – Structural Interactions - Oxford, Oxford University Press, 2015, 418 S.
Cities to the rescue?
(2017)
Despite the proliferation and promise of subnational climate initiatives, the institutional architecture of transnational municipal networks (TMNs) is not well understood. With a view to close this research gap, the article empirically assesses the assumption that TMNs are a viable substitute for ambitious international action under the United Nations Framework Convention on Climate Change (UNFCCC). It addresses the aggregate phenomenon in terms of geographical distribution, central players, mitigation ambition and monitoring provisions. Examining thirteen networks, it finds that membership in TMNs is skewed toward Europe and North America while countries from the Global South are underrepresented; that only a minority of networks commit to quantified emission reductions and that these are not more ambitious than Parties to the UNFCCC; and finally that the monitoring provisions are fairly limited. In sum, the article shows that transnational municipal networks are not (yet) the representative, ambitious and transparent player they are thought to be.
The ecological benefits of polyploidy are intensely debated. Some authors argue that plants with duplicated chromosome sets (polyploids) are more stress-resistant and superior colonizers and may thus outnumber their low ploidy conspecifics in more extreme habitats. Brachypodium distachyon (sensu lato), for example, a common annual grass in Israel and the entire Mediterranean basin, comprises three cytotypes of differing chromosome numbers that were recently proposed as distinct species. It was suggested that increased aridity increases the occurrence of its polyploid cytotype. Here, we tested at two spatial scales whether polyploid plants of B. distachyon s.l. are more frequently found in drier habitats in Israel. We collected a total of 430 specimens (i) along a largescale climatic gradient with 15 thoroughly selected sites (spanning 114–954 mm annual rainfall), and (ii) from corresponding Northern (more mesic) and Southern (more arid) hill slopes to assess the micro-climatic difference between contrasting exposures. Cytotypes were then determined via flow cytometry. Polyploid plants comprised 90% of all specimens and their proportion ranged between 0% and 100% per site. However, this proportion was not correlated with aridity along the large-scale gradient, nor were polyploids more frequently found on Southern exposures. Our results show for both spatial scales that increasing aridity is not the principal driver for the distribution of polyploids in B. distachyon s.l. in Israel. Notably, though, diploid plants were restricted essentially to four intermediate sites, while polyploids dominated the most arid and the most mesic sites. This, to some degree, clustered pattern suggests that the distribution of cytotypes is not entirely random and calls for future studies to assess further potential drivers.
Soil properties show high heterogeneity at different spatial scales and their correct characterization remains a crucial challenge over large areas. The aim of the study is to quantify the impact of different types of uncertainties that arise from the unresolved soil spatial variability on simulated hydrological states and fluxes. Three perturbation methods are presented for the characterization of uncertainties in soil properties. The methods are applied on the soil map of the upper Neckar catchment (Germany), as an example. The uncertainties are propagated through the distributed mesoscale hydrological model (mHM) to assess the impact on the simulated states and fluxes. The model outputs are analysed by aggregating the results at different spatial and temporal scales. These results show that the impact of the different uncertainties introduced in the original soil map is equivalent when the simulated model outputs are analysed at the model grid resolution (i.e. 500 m). However, several differences are identified by aggregating states and fluxes at different spatial scales (by subcatchments of different sizes or coarsening the grid resolution). Streamflow is only sensitive to the perturbation of long spatial structures while distributed states and fluxes (e.g. soil moisture and groundwater recharge) are only sensitive to the local noise introduced to the original soil properties. A clear identification of the temporal and spatial scale for which finer-resolution soil information is (or is not) relevant is unlikely to be universal. However, the comparison of the impacts on the different hydrological components can be used to prioritize the model improvements in specific applications, either by collecting new measurements or by calibration and data assimilation approaches. In conclusion, the study underlines the importance of a correct characterization of uncertainty in soil properties. With that, soil maps with additional information regarding the unresolved soil spatial variability would provide strong support to hydrological modelling applications.
Objective: A key challenge in ancient DNA research is massive microbial DNA contamination from the deposition site which accumulates post mortem in the study organism’s remains. Two simple and cost-effective methods to enrich the relative endogenous fraction of DNA in ancient samples involve treatment of sample powder with either bleach or Proteinase K pre-digestion prior to DNA extraction. Both approaches have yielded promising but vary-ing results in other studies. Here, we contribute data on the performance of these methods using a comprehensive and systematic series of experiments applied to a single ancient bone fragment from a giant panda (Ailuropoda melanoleuca).Results: Bleach and pre-digestion treatments increased the endogenous DNA content up to ninefold. However, the absolute amount of DNA retrieved was dramatically reduced by all treatments. We also observed reduced DNA damage patterns in pre-treated libraries compared to untreated ones, resulting in longer mean fragment lengths and reduced thymine over-representation at fragment ends. Guanine–cytosine (GC) contents of both mapped and total reads are consistent between treatments and conform to general expectations, indicating no obvious biasing effect of the applied methods. Our results therefore confirm the value of bleach and pre-digestion as tools in palaeog-enomic studies, providing sufficient material is available.
Konzepte, nach denen sich die demokratische Mitwirkung der Bürger vornehmlich in Wahlen erschöpft, gehören spätestens seit „Stuttgart 21“ der Vergangenheit an. Indes ist die Bürgerbeteiligung auch jenseits solcher Großprojekte längst zu einem beherrschenden Thema der Zeit herangewachsen. Das gilt zumal für die kommunale Ebene. Dort werden traditionsreiche Partizipationsformen nicht nur intensiv genutzt, sondern zunehmend um neue Beteiligungsvarianten ergänzt und in innovativen Modellprojekten fortentwickelt. Dabei treten zwei Antriebskräfte besonders hervor. Zum einen fordern die Bürger nach den Maximen „Mitmachen, Mitwirken, Mitentscheiden“ deutlich verbesserte Partizipationsmöglichkeiten ein. Zum anderen setzen die Kommunen verstärkt auf bürgerschaftliches Engagement zur Erschließung Ressourcen privater Akteure für die Bereitstellung öffentlicher Leistungen. Übergreifende Perspektive ist die Ausbildung einer Neuen Partizipationskultur in der Bürgerkommune zur Optimierung des Gemeinwohls.
Für die kommunale Praxis ist das partizipationsgestützte Miteinander von Verwaltung. Politik und Bürgerschaft in Systementwürfen, Leitbildern, Organisations- und Verfahrensmodellen sowie lokalen Beteiligungsformaten konkretisiert. Doch verbinden sich mit den alten und neuen Ansätzen der Bürgerbeteiligung noch eine ganze Reihe offener Fragen – so etwa nach den rechtlichen Möglichkeiten und Grenzen der neuen kommunalen Beteiligungskultur, nach Erfolgsbedingungen und konkreten Erfahrungen mit der Umsetzung von Partizipationsmodellen.
Auf der 21. Fachtagung des Kommunalwissenschaftlichen Instituts (KWI) der Universität Potsdam wurden Schlüsselthemen der Neuen Partizipationskultur in der Bürgerkommune, namentlich der normativen Rahmenbedingungen und politischen Direktiven, Modernisierungsimpulse und Aktivierungsstrategien, Erfolgsbedingungen und spezifische Problemlagen einschließlich der Fallstricke in der Praxis und nicht zuletzt ausgewählter Einsatzfelder mit den dazugehörigen Erfahrungen diskutiert.
Temperature is a key factor controlling plant growth and vitality in the temperate climates of the mid-latitudes like in vast parts of the European continent. Beyond the effect of average conditions, the timings and magnitudes of temperature extremes play a particularly crucial role, which needs to be better understood in the context of projected future rises in the frequency and/or intensity of such events. In this work, we employ event coincidence analysis (ECA) to quantify the likelihood of simultaneous occurrences of extremes in daytime land surface temperature anomalies (LSTAD) and the normalized difference vegetation index (NDVI). We perform this analysis for entire Europe based upon remote sensing data, differentiating between three periods corresponding to different stages of plant development during the growing season. In addition, we analyze the typical elevation and land cover type of the regions showing significantly large event coincidences rates to identify the most severely affected vegetation types. Our results reveal distinct spatio-temporal impact patterns in terms of extraordinarily large co-occurrence rates between several combinations of temperature and NDVI extremes. Croplands are among the most frequently affected land cover types, while elevation is found to have only a minor effect on the spatial distribution of corresponding extreme weather impacts. These findings provide important insights into the vulnerability of European terrestrial ecosystems to extreme temperature events and demonstrate how event-based statistics like ECA can provide a valuable perspective on environmental nexuses.
Aufgrund verschiedener wissenschaftlicher Erkenntnisse wird jungen Sporttreibenden vom Gebrauch von Nahrungsergänzungsmitteln (NEM) abgeraten. Diese Dissertation verfolgt vor dem Hintergrund der Theorie der Zielsysteme (TDZ) das Ziel der Erstellung anwendungsorientieren Handlungswissens, anhand dessen Interventionsempfehlungen zur Reduzierung des prävalenten NEM-Konsums im Nachwuchssport ableitbar sind. Insgesamt wurden sechs Untersuchungen durchgeführt. Die Versuchsteilnehmenden absolvierten in sämtlichen Studien eine Variante der lexikalischen Entscheidungsaufgabe. Diese Aufgabe diente der Operationalisierung von automatisch aktivier- und abrufbaren nahrungsergänzungsmittelbezogenen Ziel-Mittel-Relationen.
In einer Stichprobe von Sportstudierenden zeigte sich, dass NEM mit dem Ziel Leistung assoziiert sind (Studie 1). Unter Berücksichtigung des NEM-Konsums wurde dieses Ergebnis für Nachwuchsathletinnen und -athleten aus dem Breitensport repliziert (Studie 2). Zusätzlich konnte in beiden Studien die Bedeutung dieser Ziel-Mittel-Relationen für das Verhalten nachgewiesen werden. In den nachfolgenden Untersuchungen wurden spezifische Veränderungsmechanismen der verhaltensleitenden Ziel-Mittel-Relation aus Leistung und NEM zunächst an Sportstudierenden experimentell evaluiert. Durch das Herausstellen der fehlenden leistungssteigernden Wirkung von NEM konnte diese Zielassoziation nicht modifiziert werden (Studie 3). Das Betonen gesundheitsschädigender Konsequenzen (Studie 4) und das Akzentuieren einer gesunden Ernährung (Studie 5) erwiesen sich demgegenüber als geeignet zur Veränderung der Ziel-Mittel-Relation. Das Herausstellen einer gesunden Ernährung führte deskriptiv bei Nachwuchsathletinnen und -athleten ebenfalls zur Modifikation der Zielassoziation (Studie 6). Die inferenzstatistische Bestätigung der Ergebnisse dieser Studie steht aufgrund der geringen Teststärke der Untersuchung noch aus.
Insgesamt verdeutlichen die Ergebnisse, dass die auf Ebene automatischer Kognitionen bestehende und verhaltensleitende Assoziation des Gebrauchs von NEM mit Leistung durch die Akzentuierung gesundheitlicher Perspektiven experimentell verändert werden kann. Abschließend wird die theoretische und praktische Bedeutung des erstellten Handlungswissen für künftige Interventionsempfehlungen zur Reduzierung des Gebrauchs von NEM diskutiert.
Genome-wide association studies of birth weight have focused on fetal genetics, whereas relatively little is known about the role of maternal genetic variation. We aimed to identify maternal genetic variants associated with birth weight that could highlight potentially relevant maternal determinants of fetal growth. We meta-analysed data on up to 8.7 million SNPs in up to 86 577 women of European descent from the Early Growth Genetics (EGG) Consortium and the UK Biobank. We used structural equation modelling (SEM) and analyses of mother–child pairs to quantify the separate maternal and fetal genetic effects. Maternal SNPs at 10 loci (MTNR1B, HMGA2, SH2B3, KCNAB1, L3MBTL3, GCK, EBF1, TCF7L2, ACTL9, CYP3A7) were associated with offspring birth weight at P < 5 Â 10 À8 . In SEM analyses, at least 7 of the 10 associations were consistent with effects of the maternal genotype acting via the intrauterine environment, rather than via effects of shared alleles with the fetus. Variants, or correlated proxies, at many of the loci had been previously associated with adult traits, including fasting glucose (MTNR1B, GCK and TCF7L2) and sex hormone levels (CYP3A7), and one (EBF1) with gestational duration. The identified associations indicate that genetic effects on maternal glucose, cytochrome P450 activity and gestational duration, and potentially on maternal blood pressure and immune function, are relevant for fetal growth. Further characterization of these associations in mechanistic and causal analyses will enhance understanding of the potentially modifiable maternal determinants of fetal growth, with the goal of reducing the morbidity and mortality associated with low and high birth weights.
Aus dem Inhalt:
- Themenschwerpunkt: „Gefährdungen der Menschenrechte und Demokratie am Beispiel von TTIP“
◦ TTIP und die Funktionsbedingungen moralisch rechtfertigbarer Märkte
◦ Ist TTIP alternativlos? Ein Problemaufriss aus sozialliberaler Perspektive
◦ Freihandelsabkommen und Steuergerechtigkeit: eine menschenrechtliche Perspektive
- Die Europäische Union im Menschenrechtsrat der Vereinten Nationen
Im Rahmen dieser Arbeit wurden zum einen erste Oligospiro(thio)ketal (OS(T)K)-basierte Modellsysteme (molekulare Sonden) für abstandsabhängige Messungen mittels Förster-Resonanz-Energietransfer (FRET) und zum anderen Sensorfluorophore, basierend auf einem DBD-Fluorophor und BAPTA, zur Messung der intrazellulären Calcium-Konzentration dargestellt.
Für die Synthese von molekularen Sonden für abstandsabhängige Messungen wurden verschiedenste einfach- und doppelt-markierte OS(T)K-Stäbe entwickelt und spektroskopisch untersucht. Die OS(T)K-Stäbe, sogenannte molekulare Stäbe, dienten als starre Abstandshalter zwischen den Fluorophoren. Als Fluorophore wurden Derivate von 6,7-Dihydroxy-4-methylcoumarin (Donor) und Acyl-DBD (Akzeptor) verwendet, die zusammen ein FRET-Paar bilden. Die Fluorophore wurden so funktionalisiert, dass sie sowohl unbeweglich bzw. „starr“, als auch beweglich bzw. „flexibel“ an den OS(T)K-Stab gebunden werden konnten. Für die Synthese der OS(T)K-Stäbe wurden ebenfalls eine Reihe an unterschiedlich langen und kurzen Stabbausteinen synthetisiert. Auf diese Weise wurden eine Vielzahl an verschiedensten einfach- und doppelt-markierten OS(T)K-Stäben dargestellt, deren Fluorophore sowohl „starr“ als auch „flexibel“ gebunden sind. Die dargestellten Stäbe wurden in verschiedensten Lösungsmitteln spektroskopisch untersucht, um anschließend das Verhalten in Vesikel, die eine biomimetische Umgebung darstellen, zu beurteilen. Es wurde festgestellt, dass sich die Stäbe erfolgreich in die Vesikelmembran einlagerten und hohe FRET-Effizienzen aufweisen.
Des Weiteren wurde ein FRET-Paar dargestellt, das sich durch 2-Photonenabsorpion im NIR-Bereich anregen lässt. Es wurde in den lebenden Zellen mittels Fluoreszenzlebenszeitmikroskopie (FLIM) untersucht.
Zur Untersuchung von intrazellulärem Calcium wurden zwei verschiedene DBD-Fluorophore über einen kurzen Linker mit dem Calcium-Chelator BAPTA verknüpft. Die dargestellten Fluorophore wurden sowohl in vitro als auch in vivo auf ihre Calcium-Sensitivität überprüft. Mittels FLIM wurden in lebenden Zellen die Fluoreszenzlebenszeitverteilungen der Fluorophore nach Calcium-Konzentrationsänderungen detektiert.
The work done during the PhD studies has been focused on measurements of distribution functions of rotating galaxies using integral field spectroscopy observations.
Throughout the main body of research presented here we have been using CALIFA (Calar Alto Legacy Integral Field Area) survey stellar velocity fields to obtain robust measurements of circular velocities for rotating galaxies of all morphological types. A crucial part of the work was enabled by well-defined CALIFA sample selection criteria: it enabled reconstructing sample-independent distributions of galaxy properties.
In Chapter 2, we measure the distribution in absolute magnitude - circular velocity space for a well-defined sample of 199 rotating CALIFA galaxies using their stellar kinematics. Our aim in this analysis is to avoid subjective selection criteria and to take volume and large-scale structure factors into account. Using stellar velocity fields instead of gas emission line kinematics allows including rapidly rotating early type galaxies. Our initial sample contains 277 galaxies with available stellar velocity fields and growth curve r-band photometry. After rejecting 51 velocity fields that could not be modelled due to the low number of bins, foreground contamination or significant interaction we perform Markov Chain Monte Carlo (MCMC) modelling of the velocity fields, obtaining the rotation curve and kinematic parameters and their realistic uncertainties. We perform an extinction correction and calculate the circular velocity v_circ accounting for pressure support a given galaxy has. The resulting galaxy distribution on the M_r - v_circ plane is then modelled as a mixture of two distinct populations, allowing robust and reproducible rejection of outliers, a significant fraction of which are slow rotators. The selection effects are understood well enough that the incompleteness of the sample can be corrected and the 199 galaxies can be weighted by volume and large-scale structure factors enabling us to fit a volume-corrected Tully-Fisher relation (TFR). More importantly, we also provide the volume-corrected distribution of galaxies in the M_r - v_circ plane, which can be compared with cosmological simulations. The joint distribution of the luminosity and circular velocity space densities, representative over the range of -20 > M_r > -22 mag, can place more stringent constraints on the galaxy formation and evolution scenarios than linear TFR fit parameters or the luminosity function alone.
In Chapter 3, we measure one of the marginal distributions of the M_r - v_circ distribution: the circular velocity function of rotating galaxies. The velocity function is a fundamental observable statistic of the galaxy population, being of a similar importance as the luminosity function, but much more difficult to measure. We present the first directly measured circular velocity function that is representative between 60 < v_circ < 320 km s^-1 for galaxies of all morphological types at a given rotation velocity. For the low mass galaxy population 60 < v_circ < 170 km s^-1, we use the HIPASS velocity function. For the massive galaxy population 170 < v_circ < 320 km s^-1, we use stellar circular velocities from CALIFA. The CALIFA velocity function includes homogeneous velocity measurements of both late and early-type rotation-supported galaxies. It has the crucial advantage of not missing gas-poor massive ellipticals that HI surveys are blind to. We show that both velocity functions can be combined in a seamless manner, as their ranges of validity overlap. The resulting observed velocity function is compared to velocity functions derived from cosmological simulations of the z = 0 galaxy population. We find that dark matter-only simulations show a strong mismatch with the observed VF. Hydrodynamic Illustris simulations fare better, but still do not fully reproduce observations.
In Chapter 4, we present some other work done during the PhD studies, namely, a method that improves the precision of specific angular measurements by combining simultaneous Markov Chain Monte Carlo modelling of ionised gas 2D velocity fields and HI linewidths. To test the method we use a sample of 25 galaxies from the Sydney-AAO Multi-object Integral field (SAMI) survey that had matching ALFALFA HI linewidths. Such a method allows constraining the rotation curve both in the inner regions of a galaxy and in its outskirts, leading to increased precision of specific angular momentum measurements. It could be used to further constrain the observed relation between galaxy mass, specific angular momentum and morphology (Obreschkow & Glazebrook 2014).
Mathematical and computational methods are presented in the appendices.