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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.
Broadcast media such as television have spread rapidly worldwide in the last century. They provide viewers with access to new information and also represent a source of entertainment that unconsciously exposes them to different social norms and moral values. Although the potential impact of exposure to television content have been studied intensively in economic research in recent years, studies examining the long-term causal effects of media exposure are still rare. Therefore, Chapters 2 to 4 of this thesis contribute to the better understanding of long-term effects of television exposure.
Chapter 2 empirically investigates whether access to reliable environmental information through television can influence individuals' environmental awareness and pro-environmental behavior. Analyzing exogenous variation in Western television reception in the German Democratic Republic shows that access to objective reporting on environmental pollution can enhance concerns regarding pollution and affect the likelihood of being active in environmental interest groups.
Chapter 3 utilizes the same natural experiment and explores the relationship between exposure to foreign mass media content and xenophobia. In contrast to the state television broadcaster in the German Democratic Republic, West German television regularly confronted its viewers with foreign (non-German) broadcasts. By applying multiple measures for xenophobic attitudes, our findings indicate a persistent mitigating impact of foreign media content on xenophobia.
Chapter 4 deals with another unique feature of West German television. In contrast to East German media, Western television programs regularly exposed their audience to unmarried and childless characters. The results suggest that exposure to different gender stereotypes contained in television programs can affect marriage, divorce, and birth rates. However, our findings indicate that mainly women were affected by the exposure to unmarried and childless characters.
Chapter 5 examines the influence of social media marketing on crowd participation in equity crowdfunding. By analyzing 26,883 investment decisions on three German equity crowdfunding platforms, our results show that startups can influence the success of their equity crowdfunding campaign through social media posts on Facebook and Twitter.
In Chapter 6, we incorporate the concept of habit formation into the theoretical literature on trade unions and contribute to a better understanding of how internal habit preferences influence trade union behavior. The results reveal that such internal reference points lead trade unions to raise wages over time, which in turn reduces employment. Conducting a numerical example illustrates that the wage effects and the decline in employment can be substantial.
Wenn es darum geht, Menschen aus Politik und Gesellschaft in die Schule einzuladen, stellen sich Lehrpersonen meist zahlreiche Fragen. Vor allem, wenn es sich um Politiker*innen handelt, wird manchen gern bang ums Herz. Wie kann man sicherstellen, dass der Austausch gewinnbringend für alle Seiten ist?
Die Effekte diverser Hormone auf das Sozialverhalten von Männern und Frauen sind nicht vollständig geklärt, da eine genaue Messung dieser, sowie eine Ableitung kausaler Zusammenhänge, die Forschung seither vor Herausforderungen stellt. Umso wichtiger sind Studien, welche versuchen für konfundierende Aspekte zu kontrollieren und die hormonellen oder endokrinen Effekte auf das Sozialverhalten und die soziale Kognition zu untersuchen. Während Studien bereits Effekte von akutem Stress auf Sozialverhalten zeigten, sind die zugrundeliegenden neurobiologischen Mechanismen nicht vollständig bekannt, da hierfür ein rein pharmakologischer Ansatz von Nöten wäre. Die wenigen Studien, die einen solchen wählten, zeigen konträre Befunde. Bisherige Untersuchungen mit psychosozialen Stressoren lassen jedoch prosoziale Tendenzen nach Stress sowohl für Männer als auch für Frauen vermuten. Darüber hinaus sind auch Untersuchungen zu weiblichen Geschlechtshormonen und ihrem Einfluss auf Sozialverhalten sowie die soziale Kognition bei Frauen besonders herausfordernd durch die hormonellen Schwankungen während des Menstruationszyklus oder auch Veränderungen durch die Einnahme oraler Kontrazeptiva. Studien die sowohl Zyklusphasen als auch die Effekte von oralen Kontrazeptiva untersuchten, deuten aber bereits auf Unterschiede zwischen den verschiedenen Phasen, sowie Frauen mit natürlichem Zyklus und Einnahme oraler Kontrazeptiva hin.
Der theoretische Teil beschreibt die Grundlagen zur Stressreaktion des Menschen und die hormonellen Veränderungen weiblicher Geschlechtshormone. Folgend, soll ein Kapitel zur aktuellen Forschungslage zu Effekten von akutem Stress auf Sozialverhalten und die soziale Kognition einen Überblick über die bisherige Befundlage schaffen. Die erste empirische Studie, welche die Effekte von Hydrocortison auf das Sozialverhalten und die Emotionserkennung untersucht, soll anschließend in diese aktuelle Befundlage eingeordnet werden und zu der weniger erforschten Sparte der pharmakologischen Studien beitragen. Die zweite empirische Studie befasst sich folgend mit den Effekten weiblicher Geschlechtshormone auf Sozialverhalten und Empathie, genauer wie auch Zyklusphasen und orale Kontrazeptiva (über Hormone vermittelt) einen Einfluss bei Frauen nehmen. Abschließend sollen die Effekte von Stresshormonen bei Männern, und modulierende Eigenschaften weiblicher Geschlechtshormone, Zyklusphasen und oraler Kontrazeptiva bei Frauen, jeweils in Hinblick auf Sozialverhalten und die soziale Kognition diskutiert werden.
Forest inventories provide significant monitoring information on forest health, biodiversity,
resilience against disturbance, as well as its biomass and timber harvesting potential. For this
purpose, modern inventories increasingly exploit the advantages of airborne laser scanning (ALS)
and terrestrial laser scanning (TLS).
Although tree crown detection and delineation using ALS can be seen as a mature discipline, the
identification of individual stems is a rarely addressed task. In particular, the informative value of
the stem attributes—especially the inclination characteristics—is hardly known. In addition, a lack
of tools for the processing and fusion of forest-related data sources can be identified. The given
thesis addresses these research gaps in four peer-reviewed papers, while a focus is set on the
suitability of ALS data for the detection and analysis of tree stems.
In addition to providing a novel post-processing strategy for geo-referencing forest inventory plots,
the thesis could show that ALS-based stem detections are very reliable and their positions are
accurate. In particular, the stems have shown to be suited to study prevailing trunk inclination
angles and orientations, while a species-specific down-slope inclination of the tree stems and a
leeward orientation of conifers could be observed.
Im August und September 2019 wurde unter allen Lehrenden im Fach Gesellschaftslehre (GL) an rheinland-pfälzischen Integrierten Gesamtschulen (IGS) eine Fragebogenstudie durchgeführt. Sie ermöglicht differenzierte Einblicke in die Selbstwahrnehmung der Lehrenden und in ihre Betrachtung der Schul- und Unterrichtspraxis. Die Ergebnisse zeigen Stärken und Schwächen des Integrationsfachs auf und eröffnen didaktische wie bildungspolitische Entwicklungsperspektiven. Die Erhebung erfolgte im Rahmen des von der Nikolaus Koch Stiftung und dem Ministerium für Bildung des Landes Rheinland-Pfalz geförderten Projekts „pe:GL – Praxis- und Entwicklungsforschung: Gesellschaftslehre“ an der Universität Trier.
Surveys play a major role in studying social and behavioral phenomena that are difficult to
observe. Survey data provide insights into the determinants and consequences of human
behavior and social interactions. Many domains rely on high quality survey data for decision
making and policy implementation including politics, health, business, and the social
sciences. Given a certain research question in a specific context, finding the most appropriate
survey design to ensure data quality and keep fieldwork costs low at the same time is a
difficult task. The aim of examining survey research methodology is to provide the best
evidence to estimate the costs and errors of different survey design options. The goal of this
thesis is to support and optimize the accumulation and sustainable use of evidence in survey
methodology in four steps:
(1) Identifying the gaps in meta-analytic evidence in survey methodology by a systematic
review of the existing evidence along the dimensions of a central framework in the
field
(2) Filling in these gaps with two meta-analyses in the field of survey methodology, one
on response rates in psychological online surveys, the other on panel conditioning
effects for sensitive items
(3) Assessing the robustness and sufficiency of the results of the two meta-analyses
(4) Proposing a publication format for the accumulation and dissemination of metaanalytic
evidence
Soil organic matter (SOM) is an indispensable component of terrestrial ecosystems. Soil organic carbon (SOC) dynamics are influenced by a number of well-known abiotic factors such as clay content, soil pH, or pedogenic oxides. These parameters interact with each other and vary in their influence on SOC depending on local conditions. To investigate the latter, the dependence of SOC accumulation on parameters and parameter combinations was statistically assessed that vary on a local scale depending on parent material, soil texture class, and land use. To this end, topsoils were sampled from arable and grassland sites in south-western Germany in four regions with different soil parent material. Principal component analysis (PCA) revealed a distinct clustering of data according to parent material and soil texture that varied largely between the local sampling regions, while land use explained PCA results only to a small extent. The PCA clusters were differentiated into total clusters that contain the entire dataset or major proportions of it and local clusters representing only a smaller part of the dataset. All clusters were analysed for the relationships between SOC concentrations (SOC %) and mineral-phase parameters in order to assess specific parameter combinations explaining SOC and its labile fractions hot water-extractable C (HWEC) and microbial biomass C (MBC). Analyses were focused on soil parameters that are known as possible predictors for the occurrence and stabilization of SOC (e.g. fine silt plus clay and pedogenic oxides). Regarding the total clusters, we found significant relationships, by bivariate models, between SOC, its labile fractions HWEC and MBC, and the applied predictors. However, partly low explained variances indicated the limited suitability of bivariate models. Hence, mixed-effect models were used to identify specific parameter combinations that significantly explain SOC and its labile fractions of the different clusters. Comparing measured and mixed-effect-model-predicted SOC values revealed acceptable to very good regression coefficients (R2=0.41–0.91) and low to acceptable root mean square error (RMSE = 0.20 %–0.42 %). Thereby, the predictors and predictor combinations clearly differed between models obtained for the whole dataset and the different cluster groups. At a local scale, site-specific combinations of parameters explained the variability of organic carbon notably better, while the application of total models to local clusters resulted in less explained variance and a higher RMSE. Independently of that, the explained variance by marginal fixed effects decreased in the order SOC > HWEC > MBC, showing that labile fractions depend less on soil properties but presumably more on processes such as organic carbon input and turnover in soil.
This thesis is concerned with two classes of optimization problems which stem
mainly from statistics: clustering problems and cardinality-constrained optimization problems. We are particularly interested in the development of computational techniques to exactly or heuristically solve instances of these two classes
of optimization problems.
The minimum sum-of-squares clustering (MSSC) problem is widely used
to find clusters within a set of data points. The problem is also known as
the $k$-means problem, since the most prominent heuristic to compute a feasible
point of this optimization problem is the $k$-means method. In many modern
applications, however, the clustering suffers from uncertain input data due to,
e.g., unstructured measurement errors. The reason for this is that the clustering
result then represents a clustering of the erroneous measurements instead of
retrieving the true underlying clustering structure. We address this issue by
applying robust optimization techniques: we derive the strictly and $\Gamma$-robust
counterparts of the MSSC problem, which are as challenging to solve as the
original model. Moreover, we develop alternating direction methods to quickly
compute feasible points of good quality. Our experiments reveal that the more
conservative strictly robust model consistently provides better clustering solutions
than the nominal and the less conservative $\Gamma$-robust models.
In the context of clustering problems, however, using only a heuristic solution
comes with severe disadvantages regarding the interpretation of the clustering.
This motivates us to study globally optimal algorithms for the MSSC problem.
We note that although some algorithms have already been proposed for this
problem, it is still far from being “practically solved”. Therefore, we propose
mixed-integer programming techniques, which are mainly based on geometric
ideas and which can be incorporated in a
branch-and-cut based algorithm tailored
to the MSSC problem. Our numerical experiments show that these techniques
significantly improve the solution process of a
state-of-the-art MINLP solver
when applied to the problem.
We then turn to the study of cardinality-constrained optimization problems.
We consider two famous problem instances of this class: sparse portfolio optimization and sparse regression problems. In many modern applications, it is common
to consider problems with thousands of variables. Therefore, globally optimal
algorithms are not always computationally viable and the study of sophisticated
heuristics is very desirable. Since these problems have a discrete-continuous
structure, decomposition methods are particularly well suited. We then apply a
penalty alternating direction method that explores this structure and provides
very good feasible points in a reasonable amount of time. Our computational
study shows that our methods are competitive to
state-of-the-art solvers and heuristics.
List-method directed forgetting (LMDF) is the demonstration that people can intentionally forget previously studied information when they are asked to forget what they have previously learned and remember new information instead. In addition, recent research demonstrated that people can selectively forget when cued to forget only a subset of the previously studied information. Both forms of forgetting are typically observed in recall tests, in which the to-be-forgotten and to-be-remembered information is tested independent of original cuing. Thereby, both LMDF and selective directed forgetting (SDF) have been studied mostly with unrelated item materials (e.g., word lists). The present study examined whether LMDF and SDF generalize to prose material. Participants learned three prose passages, which they were cued to remember or forget after the study of each passage. At the time of testing, participants were asked to recall the three prose passages regardless of original cuing. The results showed no significant differences in recall of the three lists as a function of cuing condition. The findings suggest that LMDF and SDF do not occur with prose material. Future research is needed to replicate and extend these findings with (other) complex and meaningful materials before drawing firm conclusions. If the null effect proves to be robust, this would have implications regarding the ecological validity and generalizability of current LMDF and SDF findings.
Die endemischen Arganbestände in Südmarokko sind die Quelle des wertvollen Arganöls, sind aber durch bspw. Überweidung oder illegale Feuerholzgewinnung stark übernutzt. Aufforstungsmaßnahmen sind vorhanden, sind aber aufgrund von zu kurz angelegten Bewässerungs- und Schutzverträgen häufig nicht erfolgreich. Das Aufkommen von Neuwuchs ist durch das beinahe restlose Sammeln von Kernen kaum möglich, durch Fällen oder Absterben von Bäumen verringert sich die kronenüberdeckte Fläche und unbedeckte Flächen zwischen den Bäumen nehmen zu.
Die Entwicklung der Arganbestände wurde über den Zeitraum von 1972 und 2018 mit historischen und aktuellen Satellitenbildern untersucht, ein Großteil der Bäume hat sich in dieser Zeit kaum verändert. Zustandsaufnahmen von 2018 zeigten, dass viele dieser Bäume durch Überweidung und Abholzung nur als Sträucher wachsen und so in degradiertem Zustand stabil sind.
Trotz der Degradierung einiger Bäume zeigt sich, dass der Boden unter den Bäumen die höchsten Gehalte an organischer Bodensubstanz und Nährstoffen auf den Flächen aufweist, zwischen zwei Bäumen sind die Gehalte am niedrigsten. Der Einfluss des Baumes auf den Boden geht über die Krone hinaus in Richtung Norden durch Beschattung in der Mittagssonne, Osten durch Windverwehung von Streu und Bodenpartikeln und hangabwärts durch Verspülung von Material.
Über experimentelle Methoden unter und zwischen den Arganbäumen wurden Erkenntnisse zur Bodenerosion gewonnen. Die hydraulische Leitfähigkeit unter Bäumen ist um den Faktor 1,2-1,5 höher als zwischen den Bäumen, Oberflächenabflüsse und Bodenabträge sind unter den Bäumen etwas niedriger, bei degradierten Bäumen ähnlich den Bereichen zwischen den Bäumen. Die unterschiedlichen Flächenbeschaffenheiten wurden mit einem Windkanal untersucht und zeigten, dass gerade frisch gepflügte Flächen hohe Windemissionen verursachen, während Flächen mit hoher Steinbedeckung kaum von Winderosion betroffen sind.
Die Oberflächenabflüsse von den unterschiedlichen Flächentypen werden in die Vorfluter abgeleitet. Die Sedimentdynamik in diesen Wadis wird hauptsächlich von Niederschlag zwischen den Messungen, Einzugsgebiet und Wadilänge und kaum von den verschiedenen Landnutzungen beeinflusst.
Das Landschaftssystem Argan konnte über diesen Multi-Methodenansatz auf verschiedenen Ebenen analysiert werden.
Insekten stellen die artenreichste Klasse des Tierreichs dar, wobei viele der Arten bedroht sind. Das liegt neben dem Klimawandel vor allem an der sich in den letzten Jahrzehnten stark verändernden landwirtschaftlichen Nutzung von Flächen, was zu Lebensraumzerstörung und Habitatfragmentierung führt. Die intensivere Bewirtschaftung von Gunstflächen einerseits, sowie die Flächenaufgabe unrentabler Flächen andererseits, hat schwerwiegende Folgen für Insekten, die an extensiv genutzte Kulturflächen angepasst sind, was besonders durch den abnehmenden Anteil an Spezialisten deutlich wird. Eine Region, die aufgrund des kleinräumigen Nebeneinanders von naturnahen Bereichen und anthropogen geschaffenen Kulturflächen (entlang eines großen Höhengradienten) eine wichtige Rolle für die Biodiversität besitzt, speziell als Lebensraum für Spezialisten aller Artengruppen, sind die Alpen. Auch hier stellt der landwirtschaftliche Nutzungswandel ein großes Problem dar, weshalb es einen nachhaltigen Schutz der extensiv genutzten Kulturlebensräume bedarf. Um zu klären, wie eine nachhaltige Berglandwirtschaft zukünftig erhalten bleiben kann, wurden im ersten Kapitel der Promotion die Regelungsrahmen der internationalen, europäischen, nationalen und regionalen Gesetze näher betrachtet. Es zeigt sich, dass der multifunktionale Ansatz der Alpenkonvention und des zugehörigen Protokolls „Berglandwirtschaft“ nur eine geringe normative Konkretisierung aufweisen und daher nicht im ausreichenden Maße in der Gemeinsamen Agrarpolitik der EU sowie im nationalen Recht umgesetzt werden; dadurch können diese einer negativen Entwicklung in der Berglandwirtschaft nicht ausreichend entgegenwirken. Neben diesen Rechtsgrundlagen fehlt es jedoch auch an naturwissenschaftlichen Grundlagen, um die Auswirkungen des landwirtschaftlichen Nutzungswandels auf alpine und arktische Tierarten zu beurteilen. Untersuchungen mit Charakterarten für diese Kulturräume sind somit erforderlich, wobei Tagfalter aufgrund ihrer Sensibilität gegenüber Umweltveränderungen geeignete Indikatoren sind. Deshalb wurden im zweiten Kapitel der Promotion die beiden Schwestertaxa Boloria pales und B. napaea untersucht, die für arktische und / oder alpine Grünlandflächen typisch sind. Die bisher unbekannte Phylogeographie beider Arten wurde daher mit zwei mitochondrialen und zwei Kerngenen über das gesamte europäische Verbreitungsgebiet untersucht. In diesem Zusammenhang die zwischen- und innerartlichen Auftrennungen analysiert und datiert sowie die ihnen unterliegenden Ausbreitungsmuster entschlüsselt. Um spezielle Anpassungsformen an die arktischen und alpinen Lebensräume der Arten zu entschlüsseln und die Folgen der landwirtschaftlichen Nutzungsänderung richtig einordnen zu können, wurden mehrere Populationen beider Arten freilandökologisch untersucht. Während B. pales über den gesamten alpinen Sommer schlüpfen kann und proterandrische Strukturen zeigt, ist B. napaea durch das Fehlen der Proterandie und ein verkürztes Schlupfzeitfenster eher an die kürzeren, arktischen Sommer angepasst. Obwohl beide Arten die gleichen Nektarquellen nutzen, gibt es aufgrund verschiedener Bedürfnisse Unterschiede in den Nektarpräferenzen zwischen den Geschlechtern; auch innerartliche Unterschiede im Dispersionsverhalten wurden gefunden. Populationen beider Arten können eine kurze Beweidung überleben, wobei der Zeitpunkt der Beweidung von Bedeutung ist; eine Nutzung gegen Ende der Schlupfphase hat einen größeren Einfluss auf die Population. Daneben wurde ein deutlicher Unterschied zwischen Flächen mit langfristiger und fehlender Beweidung gefunden. Neben einer geringen Populationsdichte, gibt es auf ganzjährig beweideten Flächen einen größeren Druck, den Lebensraum zu verlassen und die zurückgelegten Flugdistanzen sind hier auch deutlich größer.
The paper aims to recognize the changes in the barriers to cross-border educational projects, especially in the context of the COVID-19 pandemic. The research focused on the European borderlands, where the level of maturity of cross-border cooperation is diverse (the Franco-German and Polish-Czech bor-derlands). The author utilised qualitative research methods (desk research, in-depth interview, case study). An exploratory study covered the barriers existing before the pandemic that stayed stable or have changed during the pandemic, and the new types of barriers that have appeared then. Within both borderlands, the identified barriers were similar in general; however, their intensity was varied. The key difference was the approach to these barriers within each borderland. On the Franco-German border, cross-border cooperation is more complex and deeper, and on the Polish-Czech border, it is more su-perficial and focused on specific issues only. These differences reveal the solutions that should be im-plemented to mitigate the impact of the pandemic on those projects within each borderland.
Algorithmen als Richter
(2022)
Die menschliche Entscheidungsgewalt wird durch algorithmische
Entscheidungssysteme herausgefordert. Verfassungsrechtlich besonders
problematisch ist dies in Bereichen, die das staatliche Handeln betreffen.
Eine herausgehobene Stellung nimmt durch den besonderen Schutz der
Art. 92 ff. GG die rechtsprechende Gewalt ein. Lydia Wolff fragt daher danach, welche Antworten das Grundgesetz auf digitale Veränderungen in diesem Bereich bereithält und wie sich ein Eigenwert menschlicher Entscheidungen in der Rechtsprechung angesichts technischen Wandels darstellen lässt.
Das Werk erörtert hierzu einen Beitrag zum verfassungsrechtlichen
Richterbegriff und stellt diesen etablierten Begriff in einen Kontext neuer digitaler Herausforderungen durch algorithmische Konkurrenz.
Measurements of the atmospheric boundary layer (ABL) structure were performed for three years (October 2017–August 2020) at the Russian observatory “Ice Base Cape Baranova” (79.280° N, 101.620° E) using SODAR (Sound Detection And Ranging). These measurements were part of the YOPP (Year of Polar Prediction) project “Boundary layer measurements in the high Arctic” (CATS_BL) within the scope of a joint German–Russian project. In addition to SODAR-derived vertical profiles of wind speed and direction, a suite of complementary measurements at the observatory was available. ABL measurements were used for verification of the regional climate model COSMO-CLM (CCLM) with a 5 km resolution for 2017–2020. The CCLM was run with nesting in ERA5 data in a forecast mode for the measurement period. SODAR measurements were mostly limited to wind speeds <12 m/s since the signal was often lost for higher winds. The SODAR data showed a topographical channeling effect for the wind field in the lowest 100 m and some low-level jets (LLJs). The verification of the CCLM with near-surface data of the observatory showed good agreement for the wind and a negative bias for the 2 m temperature. The comparison with SODAR data showed a positive bias for the wind speed of about 1 m/s below 100 m, which increased to 1.5 m/s for higher levels. In contrast to the SODAR data, the CCLM data showed the frequent presence of LLJs associated with the topographic channeling in Shokalsky Strait. Although SODAR wind profiles are limited in range and have a lot of gaps, they represent a valuable data set for model verification. However, a full picture of the ABL structure and the climatology of channeling events could be obtained only with the model data. The climatological evaluation showed that the wind field at Cape Baranova was not only influenced by direct topographic channeling under conditions of southerly winds through the Shokalsky Strait but also by channeling through a mountain gap for westerly winds. LLJs were detected in 37% of all profiles and most LLJs were associated with channeling, particularly LLJs with a jet speed ≥ 15 m/s (which were 29% of all LLJs). The analysis of the simulated 10 m wind field showed that the 99%-tile of the wind speed reached 18 m/s and clearly showed a dipole structure of channeled wind at both exits of Shokalsky Strait. The climatology of channeling events showed that this dipole structure was caused by the frequent occurrence of channeling at both exits. Channeling events lasting at least 12 h occurred on about 62 days per year at both exits of Shokalsky Strait.
The larval stage of the European fire salamander (Salamandra salamandra) inhabits both lentic and lotic habitats. In the latter, they are constantly exposed to unidirectional water flow, which has been shown to cause downstream drift in a variety of taxa. In this study, a closed artificial creek, which allowed us to keep the water flow constant over time and, at the same time, to simulates with predefined water quantities and durations, was used to examine the individual movement patterns of marked larval fire salamanders exposed to unidirectional flow. Movements were tracked by marking the larvae with VIAlpha tags individually and by using downstream and upstream traps. Most individuals showed stationarity, while downstream drift dominated the overall movement pattern. Upstream movements were rare and occurred only on small distances of about 30 cm; downstream drift distances exceeded 10 m (until next downstream trap). The simulated flood events increased drift rates significantly, even several days after the flood simulation experiments. Drift probability increased with decreasing body size and decreasing nutritional status. Our results support the production hypothesis as an explanation for the movements of European fire salamander larvae within creeks.
A model-based temperature adjustment scheme for wintertime sea-ice production retrievals from MODIS
(2022)
Knowledge of the wintertime sea-ice production in Arctic polynyas is an important requirement for estimations of the dense water formation, which drives vertical mixing in the upper ocean. Satellite-based techniques incorporating relatively high resolution thermal-infrared data from MODIS in combination with atmospheric reanalysis data have proven to be a strong tool to monitor large and regularly forming polynyas and to resolve narrow thin-ice areas (i.e., leads) along the shelf-breaks and across the entire Arctic Ocean. However, the selection of the atmospheric data sets has a large influence on derived polynya characteristics due to their impact on the calculation of the heat loss to the atmosphere, which is determined by the local thin-ice thickness. In order to overcome this methodical ambiguity, we present a MODIS-assisted temperature adjustment (MATA) algorithm that yields corrections of the 2 m air temperature and hence decreases differences between the atmospheric input data sets. The adjustment algorithm is based on atmospheric model simulations. We focus on the Laptev Sea region for detailed case studies on the developed algorithm and present time series of polynya characteristics in the winter season 2019/2020. It shows that the application of the empirically derived correction decreases the difference between different utilized atmospheric products significantly from 49% to 23%. Additional filter strategies are applied that aim at increasing the capability to include leads in the quasi-daily and persistence-filtered thin-ice thickness composites. More generally, the winter of 2019/2020 features high polynya activity in the eastern Arctic and less activity in the Canadian Arctic Archipelago, presumably as a result of the particularly strong polar vortex in early 2020.
Statistical matching offers a way to broaden the scope of analysis without increasing respondent burden and costs. These would result from conducting a new survey or adding variables to an existing one. Statistical matching aims at combining two datasets A and B referring to the same target population in order to analyse variables, say Y and Z, together, that initially were not jointly observed. The matching is performed based on matching variables X that correspond to common variables present in both datasets A and B. Furthermore, Y is only observed in B and Z is only observed in A. To overcome the fact that no joint information on X, Y and Z is available, statistical matching procedures have to rely on suitable assumptions. Therefore, to yield a theoretical foundation for statistical matching, most procedures rely on the conditional independence assumption (CIA), i.e. given X, Y is independent of Z.
The goal of this thesis is to encompass both the statistical matching process and the analysis of the matched dataset. More specifically, the aim is to estimate a linear regression model for Z given Y and possibly other covariates in data A. Since the validity of the assumptions underlying the matching process determine the validity of the obtained matched file, the accuracy of statistical inference is determined by the suitability of the assumptions. By putting the focus on these assumptions, this work proposes a systematic categorisation of approaches to statistical matching by relying on graphical representations in form of directed acyclic graphs. These graphs are particularly useful in representing dependencies and independencies which are at the heart of the statistical matching problem. The proposed categorisation distinguishes between (a) joint modelling of the matching and the analysis (integrated approach), and (b) matching subsequently followed by statistical analysis of the matched dataset (classical approach). Whereas the classical approach relies on the CIA, implementations of the integrated approach are only valid if they converge, i.e. if the specified models are identifiable and, in the case of MCMC implementations, if the algorithm converges to a proper distribution.
In this thesis an implementation of the integrated approach is proposed, where the imputation step and the estimation step are jointly modelled through a fully Bayesian MCMC estimation. It is based on a linear regression model for Z given Y and accounts for both a linear regression model and a random effects model for Y. Furthermore, it yields its validity when the instrumental variable assumption (IVA) holds. The IVA corresponds to: (a) Z is independent of a subset X’ of X given Y and X*, where X* = X\X’ and (b) Y is correlated with X’ given X*. The proof, that the joint Bayesian modelling of both the model for Z and the model for Y through an MCMC simulation converges to a proper distribution is provided in this thesis. In a first model-based simulation study, the proposed integrated Bayesian procedure is assessed with regard to the data situation, convergence issues, and underlying assumptions. Special interest lies in the investigation of the interplay of the Y and the Z model within the imputation process. It turns out that failure scenarios can be distinguished by comparing the CIA and the IVA in the completely observed dataset.
Finally, both approaches to statistical matching, i.e. the classical approach and the integrated approach, are subject to an extensive comparison in (1) a model-based simulation study and (2) a simulation study based on the AMELIA dataset, which is an openly available very large synthetic dataset and, by construction, similar to the EU-SILC survey. As an additional integrated approach, a Bayesian additive regression trees (BART) model is considered for modelling Y. These integrated procedures are compared to the classical approach represented by predictive mean matching in the form of multiple imputations by chained equation. Suitably chosen, the first simulation framework offers the possibility to clarify aspects related to the underlying assumptions by comparing the IVA and the CIA and by evaluating the impact of the matching variables. Thus, within this simulation study two related aspects are of special interest: the assumptions underlying each method and the incorporation of additional matching variables. The simulation on the AMELIA dataset offers a close-to-reality framework with the advantage of knowing the whole setting, i.e. the whole data X, Y and Z. Special interest lies in investigating assumptions through adding and excluding auxiliary variables in order to enhance conditional independence and assess the sensitivity of the methods to this issue. Furthermore, the benefit of having an overlap of units in data A and B for which information on X, Y, Z is available is investigated. It turns out that the integrated approach yields better results than the classical approach when the CIA clearly does not hold. Moreover, even when the classical approach obtains unbiased results for the regression coefficient of Y in the model for Z, it is the method relying on BART that over all coefficients performs best.
Concluding, this work constitutes a major contribution to the clarification of assumptions essential to any statistical matching procedure. By introducing graphical models to identify existing approaches to statistical matching combined with the subsequent analysis of the matched dataset, it offers an extensive overview, categorisation and extension of theory and application. Furthermore, in a setting where none of the assumptions are testable (since X, Y and Z are not observed together), the integrated approach is a valuable asset by offering an alternative to the CIA.