Time Discretization of the SST-generalized Navier-Stokes Equations: Positive and Negative Results

In the theory of the Navier-Stokes equations, the proofs of some basic known results, like for example the uniqueness of solutions to the stationary Navier-Stokes equations under smallness assumptions on the data or the stability of certain time discretization schemes, actually only use a small range of properties and are therefore valid in a more general context. This observation leads us to introduce the concept of SST spaces, a generalization of the functional setting for the Navier-Stokes equations. It allows us to prove (by means of counterexamples) that several uniqueness and stability conjectures that are still open in the case of the Navier-Stokes equations have a negative answer in the larger class of SST spaces, thereby showing that proof strategies used for a number of classical results are not sufficient to affirmatively answer these open questions. More precisely, in the larger class of SST spaces, non-uniqueness phenomena can be observed for the implicit Euler scheme, for two nonlinear versions of the Crank-Nicolson scheme, for the fractional step theta scheme, and for the SST-generalized stationary Navier-Stokes equations. As far as stability is concerned, a linear version of the Euler scheme, a nonlinear version of the Crank-Nicolson scheme, and the fractional step theta scheme turn out to be non-stable in the class of SST spaces. The positive results established in this thesis include the generalization of classical uniqueness and stability results to SST spaces, the uniqueness of solutions (under smallness assumptions) to two nonlinear versions of the Euler scheme, two nonlinear versions of the Crank-Nicolson scheme, and the fractional step theta scheme for general SST spaces, the second order convergence of a version of the Crank-Nicolson scheme, and a new proof of the first order convergence of the implicit Euler scheme for the Navier-Stokes equations. For each convergence result, we provide conditions on the data that guarantee the existence of nonstationary solutions satisfying the regularity assumptions needed for the corresponding convergence theorem. In the case of the Crank-Nicolson scheme, this involves a compatibility condition at the corner of the space-time cylinder, which can be satisfied via a suitable prescription of the initial acceleration.

Effects of Different Feeding Regimes on the Digestibility and Faecal Excretion of Nitrogen, Soluble Carbohydrates and Fibre Fractions in Water Buffaloes kept under Subtropical Conditions

In the course of the ‘Livestock Revolution’, extension and intensification of, among others, ruminant livestock production systems are current phenomena, with all their positive and negative side effects. Manure, one of the inevitable secondary products of livestock rearing, is a valuable source of plant nutrients and its skillful recycling to the soil-plant interface is essential for soil fertility, nutrient - and especially phosphorus - uses efficiency and the preservation or re-establishment of environmentally sustainable farming systems, for which organic farming systems are exemplarily. Against this background, the PhD research project presented here, which was embedded in the DFG-funded Research Training Group 1397 ‘Regulation of soil organic matter and nutrient turnover in organic agriculture ’ investigated possibilities to manipulate the diets of water buffalo (Bubalus bubalis L.) so as to produce manure of desired quality for organic vegetable production, without affecting the productivity of the animals used. Consisting of two major parts, the first study (chapter 2) tested the effects of diets differing in their ratios of carbon (C) to nitrogen (N) and of structural to non-structural carbohydrates on the quality of buffalo manure under subtropical conditions in Sohar, Sultanate of Oman. To this end, two trials were conducted with twelve water buffalo heifers each, using a full Latin Square design. One control and four tests diets were examined during three subsequent 7 day experimental periods preceded each by 21 days adaptation. Diets consisted of varying proportions of Rhodes grass hay, soybean meal, wheat bran, maize, dates, and a commercial concentrate to achieve a (1) high C/N and high NDF (neutral detergent fibre)/SC (soluble carbohydrate) ratio (HH), (2) low C/N and low NDF/SC ratio (LL); (3) high C/N and low NDF/SC ratio (HL) and (4) low C/N and high NDF/SC (LH) ratio. Effects of these diets, which were offered at 1.45 times maintenance requirements of metabolizable energy, and of individual diet characteristics, respectively, on the amount and quality of faeces excreted were determined and statistically analysed. The faeces produced from diets HH and LL were further tested in a companion PhD study (Mr. K. Siegfried) concerning their nutrient release in field experiments with radish and cabbage. The second study (chapter 3) focused on the effects of the above-described experimental diets on the rate of passage of feed particles through the gastrointestinal tract of four randomly chosen animals per treatment. To this end, an oral pulse dose of 683 mg fibre particles per kg live weight marked with Ytterbium (Yb; 14.5 mg Yb g-1 organic matter) was dosed at the start of the 7 day experimental period which followed 21 days of adaptation. During the first two days a sample for Yb determination was kept from each faecal excretion, during days 3 – 7 faecal samples were kept from the first morning and the first evening defecation only. Particle passage was modelled using a one-compartment age-dependent Gamma-2 model. In both studies individual feed intake and faecal excretion were quantified throughout the experimental periods and representative samples of feeds and faeces were subjected to proximate analysis following standard protocols. In the first study the organic matter (OM) intake and excretion of LL and LH buffaloes were significantly lower than of HH and HL animals, respectively. Digestibility of N was highest in LH (88%) and lowest in HH (74%). While NDF digestibility was also highest in LH (85%) it was lowest in LL (78%). Faecal N concentration was positively correlated (P≤0.001) with N intake, and was significantly higher in faeces excreted by LL than by HH animals. Concentrations of fibre and starch in faecal OM were positively affected by the respective dietary concentrations, with NDF being highest in HH (77%) and lowest in LL (63%). The faecal C/N ratio was positively related (P≤0.001) to NDF intake; C/N ratios were 12 and 7 for HH and LL (P≤0.001), while values for HL and LH were 11.5 and 10.6 (P>0.05). The results from the second study showed that dietary N concentration was positively affecting faecal N concentration (P≤0.001), while there was a negative correlation with the faecal concentration of NDF (P≤0.05) and the faecal ratios of NDF/N and C/N (P≤0.001). Particle passage through the mixing compartment was lower (P≤0.05) for HL (0.033 h-1) than for LL (0.043 h-1) animals, while values of 0.034 h-1 and 0.038 h-1 were obtained for groups LH and HH. At 55.4 h, total tract mean retention time was significantly (P≤0.05) lower in group LL that in all other groups where these values varied between 71 h (HH) and 79 h (HL); this was probably due to the high dietary N concentration of diet LL which was negatively correlated with time of first marker appearance in faeces (r= 0.84, P≤0.001), while the dietary C concentration was negatively correlated with particle passage through the mixing compartment (r= 0.57, P≤0.05). The results suggest that manure quality of river buffalo heifers can be considerably influenced by diet composition. Despite the reportedly high fibre digestion capacity of buffalo, digestive processes did not suppress the expression of diet characteristics in the faeces. This is important when aiming at producing a specific manure quality for fertilization purposes in (organic) crop cultivation. Although there was a strong correlation between the ingestion and the faecal excretion of nitrogen, the correlation between diet and faecal C/N ratio was weak. To impact on manure mineralization, the dietary NDF and N concentrations seem to be the key control points, but modulating effects are achieved by the inclusion of starch into the diet. Within the boundaries defined by the animals’ metabolic and (re)productive requirements for energy and nutrients, diet formulation may thus take into account the abiotically and biotically determined manure turnover processes in the soil and the nutrient requirements of the crops to which the manure is applied, so as to increase nutrient use efficiency along the continuum of the feed, the animal, the soil and the crop in (organic) farming systems.

Human and Raptor Interactions in the Context of a Nomadic Society

This research project focuses on contemporary eagle-taming falconry practice of the Altaic Kazakhs animal herding society in Bayan Ulgii Province in Western Mongolia. It aims to contributing both theoretical and empirical criteria for cultural preservation of Asian falconry. This cultural as well as environmental discourse is illustrated with concentrated field research framed by ecological anthropology and ethno-ornithology from the viewpoint of “Human-Animal Interaction (HAI)” and “Human-Animal Behavior (HAB)”. Part I (Chapter 2 & 3) explores ethno-archaeological and ethno-ornithological dimensions by interpretive research of archaeological artefacts which trace the historical depth of Asian falconry culture. Part II (Chapter 4 & 5) provides an extensive ethnographic narrative of Altaic Kazakh falconry, which is the central part of this research project. The “Traditional Art and Knowledge (TAK)” in human-raptor interactions, comprising the entire cycle of capture, perch, feeding, training, hunting, and release, is presented with specific emphasis on its relation to environmental and societal context. Traditional falconry as integral part of a nomadic lifestyle has to face some critical problems nowadays which necessitate preventing the complete disappearance of this outstanding indigenous cultural heritage. Part III (Chapter 6 & 7) thus focuses on the cultural sustainability of Altaic Kazakh falconry. Changing livelihoods, sedentarisation, and decontextualisation are identified as major threats. The role of Golden Eagle Festivals is critically analysed with regard to positive and negative impact. This part also intends to contribute to the academic definition of eagle falconry as an intangible cultural heritage, and to provide scientific criteria for a preservation master plan, as well as stipulate local resilience by pointing to successive actions needed for conservation. This research project concludes that cultural sustainability of Altaic Kazakh falconry needs to be supported from the angles of three theoretical frameworks; (1) Cultural affairs for protection based on the concept of nature-guardianship in its cultural domain, (2) Sustainable development and improvement of animal herding productivity and herder’s livelihood, (3) Natural resource management, especially supporting the population of Golden Eagles, their potential prey animals, and their nesting environment.

Prognosemethode für das Schutzgut ‚Landschaft’ im Rahmen der Strategischen Umweltprüfung

Im Mittelpunkt der Dissertation stehen das Schutzgut ‚Landschaft’ sowie ‚Prognosemethoden in der Umweltprüfung’. Mit beiden Themenbereichen verbinden sich bereits heute ungelöste methodische Probleme, die mit der Umsetzung der Richtlinie zur Strategischen Umweltprüfung (SUP) zusätzlich komplexer und deren Lösung mithin anspruchsvoller werden. Dies hängt einerseits damit zusammen, dass eine gesetzeskonforme Gleichbehandlung aller Schutzgüter zunehmend eingefordert wird und gerade das Schutzgut ‚Landschaft’ in einer SUP methodisch besondere Aufmerksamkeit verlangt. Zum anderen führt die gängige planungsmethodische Diskussion allein nicht zu geeigneten Antworten auf o.g. Fragen, und es bedarf der Prüfung verschiedener Methodenbausteine, auch aus anderen Wissensgebieten, um – über ein eindimensionales Landschaftsverständnis einerseits und die bisher bekannten linearen Wirkungsprognosen andererseits hinaus gehend – mehrfach verknüpfte Prognoseschritte zur Anwendung in der SUP zu entwickeln, in denen das Schutzgut ‚Landschaft’ modellhaft für Bewertungsschritte nachvollziehbar abgebildet wird. Hierbei müssen entscheidungsrelevante Prognosezeiträume ebenso beachtet werden, wie in diesen Zeiträumen möglicherweise auftretende sekundäre, kumulative, synergetische, positive und negative Auswirkungen der zu beurteilenden Planung. Dieser Ziel- und Aufgabenstellung entsprechend erfolgt die theoretische Herangehensweise der Arbeit von zwei Seiten: 1. Die Funktionen und Stellung von Prognosen innerhalb der SUP wird erläutert (Kap. 2), und es wird der Frage nachgegangen, welche Anforderungen an Prognosemethoden zu stellen sind (Kap. 2.4) und welche Prognosemethoden in der SUP Verwendung finden bzw. finden können (Kap. 3). Der Schwerpunkt wird dabei auf die Anwendung der Szenariotechnik gelegt. 2. Es wird dargestellt wie Landschaft für Aufgaben der Landschaftsplanung und Umweltprüfung bisher üblicherweise erfasst und analysiert wird, um in Prognoseschritten handhabbar behandelt zu werden (Kap. 4). Beide Zugänge werden sodann zusammengeführt (Kap. 5), um am Beispiel einer Hochwasserschutzkonzeption im Rahmen der SUP Landschaftliche Prognosen zu erarbeiten. Die Prognose setzt methodisch mit der Beschreibung des zu verwendenden Landschaftsmodells und der Klärung des Modellzwecks ein. Bezugsbasis ist die Beschreibung des Charakters einzelner logisch hergeleiteter Landschaftseinheiten bzw. Landschaftsräume, die typisiert werden. Die Prognose selber unterscheidet zwischen der Abschätzung zu erwartender Landschaftsveränderungen im Sinne der ‚Status-quo-Prognose’ (einschließlich der Entwicklung von drei Szenarien möglicher Zukunftslandschaften bis 2030) und der Wirkungsabschätzungen verschiedener Maßnahmen bzw. Planungsalternativen und zwar zunächst raumunabhängig, und dann raumkonkret. Besondere Bedeutung bei den Wirkungsabschätzungen erhält die klare Trennung von Sach- und Wertebene, eine angemessene Visualisierung und die Dokumentation von Informationslücken und Unsicherheiten bei der Prognose. Diskutiert wird u.a. (Kap. 6) · die Bildung und Abgrenzung landschaftlicher Einheiten und Typen in Bezug zu der Aufgabe, landschaftliche Eigenart zu definieren und planerisch handhabbar und anwendbar zu bestimmen, · die Bedeutung angemessener Visualisierung zur Unterstützung von Beteiligungsverfahren und · die Bestimmung des so genannten ‚Raumwiderstandes’. Beigefügt sind zwei Karten des gesamten Bearbeitungsgebietes: Karte 1 „Landschaftstypen“, Karte 2 „Maßnahmentypen des Hochwasserschutzes mit möglichen Synergieeffekten für die Landschaft“.

‘Ethical’, but Gender-Biased?

The migration of healthcare professionals from developing to developed countries, often aided by recruitment agencies, is a phenomenon of great international concern, as reflected in the construction of numerous ethical recruitment codes, which aim to govern the process. In an attempt to provide an overview of the situation, dealing specifically with the migration of nurses, as well as a critical and gender sensitive analysis of the codes, this paper follows three broad steps: first, it reviews the literature dedicated to the migration of nurses from developing to developed countries, adding a gendered account to more conventional push-pull explanations; second, it delineates the positive and negative effects that nurse migration has at the stakeholders levels of the individual, institutional, national and international level, paying particular attention to the role of gender; and third, it reviews and compares numerous codes for the ethical recruitment of nurses, highlighting the gendered rationale and consequences they may have. In showing that nurse migration is a gendered phenomenon, the paper questions whether the codes, written in gender neutral language, will come to bear unintended consequences that will effectively work to uphold gender stereotypes and inequalities.

The Role of Epistemic Monitoring in Language Comprehension

In der psycholinguistischen Forschung ist die Annahme weitverbreitet, dass die Bewertung von Informationen hinsichtlich ihres Wahrheitsgehaltes oder ihrer Plausibilität (epistemische Validierung; Richter, Schroeder & Wöhrmann, 2009) ein strategischer, optionaler und dem Verstehen nachgeschalteter Prozess ist (z.B. Gilbert, 1991; Gilbert, Krull & Malone, 1990; Gilbert, Tafarodi & Malone, 1993; Herbert & Kübler, 2011). Eine zunehmende Anzahl an Studien stellt dieses Zwei-Stufen-Modell von Verstehen und Validieren jedoch direkt oder indirekt in Frage. Insbesondere Befunde zu Stroop-artigen Stimulus-Antwort-Kompatibilitätseffekten, die auftreten, wenn positive und negative Antworten orthogonal zum aufgaben-irrelevanten Wahrheitsgehalt von Sätzen abgegeben werden müssen (z.B. eine positive Antwort nach dem Lesen eines falschen Satzes oder eine negative Antwort nach dem Lesen eines wahren Satzes; epistemischer Stroop-Effekt, Richter et al., 2009), sprechen dafür, dass Leser/innen schon beim Verstehen eine nicht-strategische Überprüfung der Validität von Informationen vornehmen. Ausgehend von diesen Befunden war das Ziel dieser Dissertation eine weiterführende Überprüfung der Annahme, dass Verstehen einen nicht-strategischen, routinisierten, wissensbasierten Validierungsprozesses (epistemisches Monitoring; Richter et al., 2009) beinhaltet. Zu diesem Zweck wurden drei empirische Studien mit unterschiedlichen Schwerpunkten durchgeführt. Studie 1 diente der Untersuchung der Fragestellung, ob sich Belege für epistemisches Monitoring auch bei Informationen finden lassen, die nicht eindeutig wahr oder falsch, sondern lediglich mehr oder weniger plausibel sind. Mithilfe des epistemischen Stroop-Paradigmas von Richter et al. (2009) konnte ein Kompatibilitätseffekt von aufgaben-irrelevanter Plausibilität auf die Latenzen positiver und negativer Antworten in zwei unterschiedlichen experimentellen Aufgaben nachgewiesen werden, welcher dafür spricht, dass epistemisches Monitoring auch graduelle Unterschiede in der Übereinstimmung von Informationen mit dem Weltwissen berücksichtigt. Darüber hinaus belegen die Ergebnisse, dass der epistemische Stroop-Effekt tatsächlich auf Plausibilität und nicht etwa auf der unterschiedlichen Vorhersagbarkeit von plausiblen und unplausiblen Informationen beruht. Das Ziel von Studie 2 war die Prüfung der Hypothese, dass epistemisches Monitoring keinen evaluativen Mindset erfordert. Im Gegensatz zu den Befunden anderer Autoren (Wiswede, Koranyi, Müller, Langner, & Rothermund, 2013) zeigte sich in dieser Studie ein Kompatibilitätseffekt des aufgaben-irrelevanten Wahrheitsgehaltes auf die Antwortlatenzen in einer vollständig nicht-evaluativen Aufgabe. Die Ergebnisse legen nahe, dass epistemisches Monitoring nicht von einem evaluativen Mindset, möglicherweise aber von der Tiefe der Verarbeitung abhängig ist. Studie 3 beleuchtete das Verhältnis von Verstehen und Validieren anhand einer Untersuchung der Online-Effekte von Plausibilität und Vorhersagbarkeit auf Augenbewegungen beim Lesen kurzer Texte. Zusätzlich wurde die potentielle Modulierung dieser Effeke durch epistemische Marker, die die Sicherheit von Informationen anzeigen (z.B. sicherlich oder vielleicht), untersucht. Entsprechend der Annahme eines schnellen und nicht-strategischen epistemischen Monitoring-Prozesses zeigten sich interaktive Effekte von Plausibilität und dem Vorhandensein epistemischer Marker auf Indikatoren früher Verstehensprozesse. Dies spricht dafür, dass die kommunizierte Sicherheit von Informationen durch den Monitoring-Prozess berücksichtigt wird. Insgesamt sprechen die Befunde gegen eine Konzeptualisierung von Verstehen und Validieren als nicht-überlappenden Stufen der Informationsverarbeitung. Vielmehr scheint eine Bewertung des Wahrheitsgehalts oder der Plausibilität basierend auf dem Weltwissen – zumindest in gewissem Ausmaß – eine obligatorische und nicht-strategische Komponente des Sprachverstehens zu sein. Die Bedeutung der Befunde für aktuelle Modelle des Sprachverstehens und Empfehlungen für die weiterführende Forschung zum Vehältnis von Verstehen und Validieren werden aufgezeigt.

Suppression of root-knot nematode through innovative mustard biofumigation

The nematicidal activity of mustard plant against hatching, migration and mortality of the root-knot nematode Meloidogyne javanica was investigated. In vitro test confirmed that mixing the sandy clay soil mixture with mustard as 4% as a biofumigant significantly reduce the percentage of egg hatching at all different incubation periods 24, 48, 72, 96 and 168 h, compared to control treatment (un-amended mixture soil and eggs in free water). Results indicate that the percentage of egg hatching reduction was 88.5, 90, 81.4, 74 and 69.4%, respectively. Mustard mixed with soil as a biofumigant led to high percentage of larval mortality at the different intervals periods in vitro. The percentage of larval mortality was 94, 100, 90.5, 90.5, and 79.4%, respectively compared to control. Laboratory results confirmed that the highest reduction in egg hatching and larval mortality was obtained after incubation period for 48 h. In vivo experiment reveals that the incorporation of the soil pots with mustard at all different doses used 3, 5% (48 h before nematode inoculation, or soil infestation with nematode), and 5% (one week before nematode inoculation or 7% of soil weight) significantly reduces all the nematode parameters compared to plant treated nematode alone. All nematode parameters i.e. the number of galls per root system, gall index, number of egg masses per root system, as well as number of juveniles per 250g soil showed high reduction with mixing the soil pots with mustard at 5% (one week before nematode inoculation), followed by the same treatment for 48h before nematode inoculation. Mustard application, one week before nematode inoculation, reduced the nematode parameters by 97, 64, 97, and 93%, respectively, compared to control. The percent of chemical components i.e. total sugars, total amino acids and total phenols were markedly enhanced compared to positive and negative control. The highest percentage was obtained with mustard at 5% one week before nematode inoculation by 68.7, 57.3 and 45%, respectively. Finally, we have to conclude that this modified technology is an innovative and can be used efficiently to control Root-knot nematode under organic agriculture and Global GAP agricultural systems instead of these carcinogenic nematicides.