Agricultural monitoring is necessary. Since the beginning of the Holocene, human agricultural practices have been shaping the face of the earth, and today around one third of the ice-free land mass consists of cropland and pastures. While agriculture is necessary for our survival, the intensity has caused many negative externalities, such as enormous freshwater consumption, the loss of forests and biodiversity, greenhouse gas emissions as well as soil erosion and degradation. Some of these externalities can potentially be ameliorated by careful allocation of crops and cropping practices, while at the same time the state of these crops has to be monitored in order to assess food security. Modern day satellite-based earth observation can be an adequate tool to quantify abundance of crop types, i.e., produce spatially explicit crop type maps. The resources to do so, in terms of input data, reference data and classification algorithms have been constantly improving over the past 60 years, and we live now in a time where fully operational satellites produce freely available imagery with often less than monthly revisit times at high spatial resolution. At the same time, classification models have been constantly evolving from distribution based statistical algorithms, over machine learning to the now ubiquitous deep learning. In this environment, we used an explorative approach to advance the state of the art of crop classification. We conducted regional case studies, focused on the study region of the Eifelkreis Bitburg-Prüm, aiming to develop validated crop classification toolchains. Because of their unique role in the regional agricultural system and because of their specific phenologic characteristics we focused solely on maize fields. In the first case study, we generated reference data for the years 2009 and 2016 in the study region by drawing polygons based on high resolution aerial imagery, and used these in conjunction with RapidEye imagery to produce high resolution maize maps with a random forest classifier and a gaussian blur filter. We were able to highlight the importance of careful residual analysis, especially in terms of autocorrelation. As an end result, we were able to prove that, in spite of the severe limitations introduced by the restricted acquisition windows due to cloud coverage, high quality maps could be produced for two years, and the regional development of maize cultivation could be quantified. In the second case study, we used these spatially explicit datasets to link the expansion of biogas producing units with the extended maize cultivation in the area. In a next step, we overlayed the maize maps with soil and slope rasters in order to assess spatially explicit risks of soil compaction and erosion. Thus, we were able to highlight the potential role of remote sensing-based crop type classification in environmental protection, by producing maps of potential soil hazards, which can be used by local stakeholders to reallocate certain crop types to locations with less associated risk. In our third case study, we used Sentinel-1 data as input imagery, and official statistical records as maize reference data, and were able to produce consistent modeling input data for four consecutive years. Using these datasets, we could train and validate different models in spatially iv and temporally independent random subsets, with the goal of assessing model transferability. We were able to show that state-of-the-art deep learning models such as UNET performed significantly superior to conventional models like random forests, if the model was validated in a different year or a different regional subset. We highlighted and discussed the implications on modeling robustness, and the potential usefulness of deep learning models in building fully operational global crop classification models. We were able to conclude that the first major barrier for global classification models is the reference data. Since most research in this area is still conducted with local field surveys, and only few countries have access to official agricultural records, more global cooperation is necessary to build harmonized and regionally stratified datasets. The second major barrier is the classification algorithm. While a lot of progress has been made in this area, the current trend of many appearing new types of deep learning models shows great promise, but has not yet consolidated. There is still a lot of research necessary, to determine which models perform the best and most robust, and are at the same time transparent and usable by non-experts such that they can be applied and used effortlessly by local and global stakeholders.

Even though in most cases time is a good metric to measure costs of algorithms, there are cases where theoretical worst-case time and experimental running time do not match. Since modern CPUs feature an innate memory hierarchy, the location of data is another factor to consider. When most operations of an algorithm are executed on data which is already in the CPU cache, the running time is significantly faster than algorithms where most operations have to load the data from the memory. The topic of this thesis is a new metric to measure costs of algorithms called memory distance—which can be seen as an abstraction of the just mentioned aspect. We will show that there are simple algorithms which show a discrepancy between measured running time and theoretical time but not between measured time and memory distance. Moreover we will show that in some cases it is sufficient to optimize the input of an algorithm with regard to memory distance (while treating the algorithm as a black box) to improve running times. Further we show the relation between worst-case time, memory distance and space and sketch how to define "the usual" memory distance complexity classes.

Due to the transition towards climate neutrality, energy markets are rapidly evolving. New technologies are developed that allow electricity from renewable energy sources to be stored or to be converted into other energy commodities. As a consequence, new players enter the markets and existing players gain more importance. Market equilibrium problems are capable of capturing these changes and therefore enable us to answer contemporary research questions with regard to energy market design and climate policy. This cumulative dissertation is devoted to the study of different market equilibrium problems that address such emerging aspects in liberalized energy markets. In the first part, we review a well-studied competitive equilibrium model for energy commodity markets and extend this model by sector coupling, by temporal coupling, and by a more detailed representation of physical laws and technical requirements. Moreover, we summarize our main contributions of the last years with respect to analyzing the market equilibria of the resulting equilibrium problems. For the extension regarding sector coupling, we derive sufficient conditions for ensuring uniqueness of the short-run equilibrium a priori and for verifying uniqueness of the long-run equilibrium a posteriori. Furthermore, we present illustrative examples that each of the derived conditions is indeed necessary to guarantee uniqueness in general. For the extension regarding temporal coupling, we provide sufficient conditions for ensuring uniqueness of demand and production a priori. These conditions also imply uniqueness of the short-run equilibrium in case of a single storage operator. However, in case of multiple storage operators, examples illustrate that charging and discharging decisions are not unique in general. We conclude the equilibrium analysis with an a posteriori criterion for verifying uniqueness of a given short-run equilibrium. Since the computation of equilibria is much more challenging due to the temporal coupling, we shortly review why a tailored parallel and distributed alternating direction method of multipliers enables to efficiently compute market equilibria. For the extension regarding physical laws and technical requirements, we show that, in nonconvex settings, existence of an equilibrium is not guaranteed and that the fundamental welfare theorems therefore fail to hold. In addition, we argue that the welfare theorems can be re-established in a market design in which the system operator is committed to a welfare objective. For the case of a profit-maximizing system operator, we propose an algorithm that indicates existence of an equilibrium and that computes an equilibrium in the case of existence. Based on well-known instances from the literature on the gas and electricity sector, we demonstrate the broad applicability of our algorithm. Our computational results suggest that an equilibrium often exists for an application involving nonconvex but continuous stationary gas physics. In turn, integralities introduced due to the switchability of DC lines in DC electricity networks lead to many instances without an equilibrium. Finally, we state sufficient conditions under which the gas application has a unique equilibrium and the line switching application has finitely many. In the second part, all preprints belonging to this cumulative dissertation are provided. These preprints, as well as two journal articles to which the author of this thesis contributed, are referenced within the extended summary in the first part and contain more details.

This socio-pragmatic study investigates organisational conflict talk between superiors and subordinates in three medical dramas from China, Germany and the United States. It explores what types of sociolinguistic realities the medical dramas construct by ascribing linguistic behaviour to different status groups. The study adopts an enhanced analytical framework based on John Gumperz’ discourse strategies and Spencer-Oatey’s rapport management theory. This framework detaches directness from politeness, defines directness based on preference and polarity and explains the use of direct and indirect opposition strategies in context. The findings reveal that the three hospital series draw on 21 opposition strategies which can be categorised into mitigating, intermediate and intensifying strategies. While the status identity of superiors is commonly characterised by a higher frequency of direct strategies than that of subordinates, both status groups manage conflict in a primarily direct manner across all three hospital shows. The high percentage of direct conflict management is related to the medical context, which is characterised by a focus on transactional goals, complex role obligations and potentially severe consequences of medical mistakes and delays. While the results reveal unexpected similarities between the three series with regard to the linguistic directness level, cross-cultural differences between the Chinese and the two Western series are obvious from particular sociopragmatic conventions. These conventions particularly include the use of humour, imperatives, vulgar language and incorporated verbal and para-verbal/multimodal opposition. Noteworthy differences also appear in the underlying patterns of strategy use. They show that the Chinese series promotes a greater tolerance of hierarchical structures and a partially closer social distance in asymmetrical professional relationships. These disparities are related to different perceptions of power distance, role relationships, face and harmony. The findings challenge existing stereotypes of Chinese, US American and German conflict management styles and emphasise the context-specific nature of verbal conflict management in every culture. Although cinematic aspects affect the conflict management in the fictional data, the results largely comply with recent research on conflict talk in real-life workplaces. As such, the study contributes to intercultural trainings in medical contexts and provides an enhanced analytical framework for further cross-cultural studies on linguistic strategies.

Die Dissertation weist nach, dass der Gerichtshof der Europäischen Union (im Folgenden: EuGH) das mitgliedstaatliche Ausgestaltungsermessen bei der Umsetzung von Richtlinien i. S. d. Art. 288 Abs. 3 AEUV, die weitreichendste Form richtlinieninhaltlich vorgesehener Umsetzungsspielräume der Mitgliedstaaten, in unterschiedlicher Art und Weise beschränkt und dabei teilweise gegen Vorgaben des primären Unionsrechts verstößt. Soweit Rechtsverstöße festgestellt werden, macht die Dissertation weiterführend Vorschläge für eine Korrektur der betroffenen unionsgerichtlichen Begrenzungsansätze im Hinblick auf das mitgliedstaatliche Ausgestaltungsermessen bei der Richtlinienumsetzung. Hierzu geht die Dissertation wie folgt vor: Ausgehend von vier in der Einleitung (Kapitel 1) aufgeworfenen Forschungsleitfragen stellt die Dissertation in Kapitel 2 die untersuchungsrelevanten unionsrechtlichen Grundlagen der Rechtsaktsform der Richtlinie dar. Dabei wird insbesondere auf die unionsvertragliche Verteilung der Kompetenzen zwischen der EU und ihren Mitgliedstaaten bei der kooperativ-zweistufigen Richtlinienrechtsetzung eingegangen und eine restriktive Auslegung des Terminus‘ „Ziel“ i. S. d. Art. 288 Abs. 3 AEUV entwickelt (sog. kompetenzinhaltsbestimmender modifiziert-enger Zielbegriff). In Kapitel 3 arbeitet die Dissertation die in der Richtlinienpraxis vorkommenden Grundformen richtlinieninhaltlich vorgesehener mitgliedstaatlicher Entscheidungsbefugnisse bei der Richtlinienumsetzung heraus und bestimmt das Ausgestaltungsermessen begrifflich als die weitreichendste Form mitgliedstaatlicher Umsetzungsspielräume. Kapitel 4 widmet sich zunächst der Ermittlung der Ansätze des EuGH zur Begrenzung des mitgliedstaatlichen Ausgestaltungsermessens. Dabei wird deutlich, dass das Unionsgericht durch seine Rechtsprechung nicht nur die Entstehung mitgliedstaatlichen Ausgestaltungsermessens begrenzt. Eine exemplarische Analyse der EuGH-Rechtsprechung zu Art. 4 Abs. 2 UAbs. 1 S. 1 und S. 2 lit. b der UVP-Richtlinie 2011/92/EU und seiner Vorgängernormen zeigt vielmehr, dass und wie der EuGH auch den Umfang des nach dem auslegungserheblichen Wortlaut einer Richtlinie bestehenden mitgliedstaatlichen Ausgestaltungsermessens begrenzt. Die hiernach ermittelten Begrenzungsansätze werden sodann einer rechtlichen Bewertung im Hinblick auf die Vorgaben des primären Unionsrechts einschließlich des in Kapitel 2 entwickelten restriktiven Zielbegriffs i. S. d. Art. 288 Abs. 3 AEUV unterzogen. Da einzelne Begrenzungsansätze des EuGH sich mit dem primären Unionsrecht als nicht vereinbar erweisen, werden insoweit schließlich Vorschläge für eine unionsrechtskonforme Korrektur dieser Rechtsprechung gemacht. Die Zusammenfassung der Forschungsergebnisse in Form einer thesenartigen Beantwortung der in der Einleitung aufgeworfenen vier Forschungsleitfragen findet sich in Kapitel 5.