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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.
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.
Stress gilt als zentrales Gesundheitsrisiko des 21. Jahrhunderts und wird in der Forschung als multidimensionales Konstrukt auf psychologischer und biologischer Ebene untersucht. Wäh-rend die subjektive Wahrnehmung von Stress nicht mit der biologischen Stressreaktivität zu-sammenhängen muss, ist der negative Einfluss stressassoziierter biologischer Prozesse auf Wohlbefinden und Gesundheit gut belegt. Bereits im Grundschulalter zeigen Kinder eine mit Erwachsenen vergleichbare Stressbelastung und gesundheitliche Folgen, Bewältigungsstrategien sind in diesem Alter allerdings noch nicht vollständig entwickelt. Präventionsprogramme im Grundschulalter sollen Kinder in ihren sich entwickelnden Stressbewältigungsfähigkeiten fördern, wobei sowohl emotionsfokussierte und problemorientierte Ansätze als auch soziale Unterstützung wichtige Faktoren darstellen könnten.
Das einleitende Literatur-Review evaluiert bisherige Stresspräventionsstudien und verdeutlicht, dass zwar die Wirksamkeit und Anwendbarkeit von mehrfaktoriellen Stresspräventionsprogrammen im Rahmen psychometrischer Erhebungen gezeigt werden konnten, biologische Prozesse in der Forschung bisher allerdings nicht erhoben und außer Acht gelassen wurden.
Die empirische Untersuchung in Studie 1 zeigt, dass eine multidimensionale psychobiologische Betrachtungsweise sinnvoll ist, indem sowohl die Psychometrie, als auch psychobiologische Prozesse der Stressreaktion miteinbezogen und die Auswirkungen von Stressprävention auf den verschiedenen Ebenen untersucht wurden. Zwei Kurzinterventionen wurden dazu miteinander verglichen und ihre Wirkung auf psychophysiologischen Ebenen (z.B. Kortisol, α-Amylase und Herzrate) in einem Prä-Post Design geprüft. Eine statistisch signifikante Abnahme psychophysiologischer Stressreaktivität, sowie stressassoziierter psychologischer Symptome verdeutlichte die multidimensionale Wirksamkeit von Stressmanagementtrainings.
Studie 2 wurde im Rahmen der Covid-19-Pandemie entworfen. Die in Studie 1 trainierten Kinder wurden mittels Online-Fragebogenerhebung mit einer Kontrollgruppe hinsichtlich ihrer Stressbelastung verglichen. Die Ergebnisse zeigten eine geringere Belastung und vermehrte günstige Bewältigungsstrategien trainierter Kinder im Vergleich zur Kontrollgruppe.
Diese Ergebnisse heben die Relevanz einer multidimensionalen Betrachtung kindlichen Stresses hervor. Es wurde gezeigt, dass Stresspräventionsprogramme auf den unterschiedlichen Ebenen der Stressreaktion wirken und sogar in gesamtgesellschaftlichen Krisensituationen stresspro-tektiv wirken können. Zukünftige Studien sollten Stresspräventionen im Grundschulalter psychophysiologisch evaluieren und deren Wirkung in Längsschnittstudien beurteilen, um das Verständnis der zugrundeliegenden Mechanismen zu verbessern.
Let K be a compact subset of the complex plane. Then the family of polynomials P is dense in A(K), the space of all continuous functions on K that are holomorphic on the interior of K, endowed with the uniform norm, if and only if the complement of K is connected. This is the statement of Mergelyan's celebrated theorem.
There are, however, situations where not all polynomials are required to approximate every f ϵ A(K) but where there are strict subspaces of P that are still dense in A(K). If, for example, K is a singleton, then the subspace of all constant polynomials is dense in A(K). On the other hand, if 0 is an interior point of K, then no strict subspace of P can be dense in A(K).
In between these extreme cases, the situation is much more complicated. It turns out that it is mostly determined by the geometry of K and its location in the complex plane which subspaces of P are dense in A(K). In Chapter 1, we give an overview of the known results.
Our first main theorem, which we will give in Chapter 3, deals with the case where the origin is not an interior point of K. We will show that if K is a compact set with connected complement and if 0 is not an interior point of K, then any subspace Q ⊂ P which contains the constant functions and all but finitely many monomials is dense in A(K).
There is a close connection between lacunary approximation and the theory of universality. At the end of Chapter 3, we will illustrate this connection by applying the above result to prove the existence of certain universal power series. To be specific, if K is a compact set with connected complement, if 0 is a boundary point of K and if A_0(K) denotes the subspace of A(K) of those functions that satisfy f(0) = 0, then there exists an A_0(K)-universal formal power series s, where A_0(K)-universal means that the family of partial sums of s forms a dense subset of A_0(K).
In addition, we will show that no formal power series is simultaneously universal for all such K.
The condition on the subspace Q in the main result of Chapter 3 is quite restrictive, but this should not be too surprising: The result applies to the largest possible class of compact sets.
In Chapter 4, we impose a further restriction on the compact sets under consideration, and this will allow us to weaken the condition on the subspace Q. The result that we are going to give is similar to one of those presented in the first chapter, namely the one due to Anderson. In his article “Müntz-Szasz type approximation and the angular growth of lacunary integral functions”, he gives a criterion for a subspace Q of P to be dense in A(K) where K is entirely contained in some closed sector with vertex at the origin.
We will consider compact sets with connected complement that are -- with the possible exception of the origin -- entirely contained in some open sector with vertex at the origin. What we are going to show is that if K\{0} is contained in an open sector of opening angle 2α and if Λ is some subset of the nonnegative integers, then the span of {z → z^λ : λ ϵ Λ} is dense in A(K) whenever 0 ϵ Λ and some Müntz-type condition is satisfied.
Conversely, we will show that if a similar condition is not satisfied, then we can always find a compact set K with connected complement such that K\{0} is contained in some open sector of opening angle 2α and such that the span of {z → z^λ : λ ϵ Λ} fails to be dense in A(K).
The Covid-19 pandemic and the related border restrictions have had numerous social, economic and political consequences for border regions. The temporary border closures impacted not only the lives of borderlanders whose everyday practices are embedded in cross-border spaces, but also the func-tioning of institutional actors involved in cross-border activities. The aim here is to investigate the communication surrounding the pandemic and the reactions and (new) strategies of cross-border insti-tutional actors in the context of (re)bordering. Applying the concept of resilience, this paper explores coping mechanisms and modes of adaptation as well as strategies developed to adjust to new circum-stances. Against this backdrop, factors that enhanced or hindered the adaptation process were identi-fied. The German-Polish borderland serves here as a case study, although it will be situated within a wider European context.
This paper tested the ability of Mandarin learners of German, whose native language has lexical tone, to imitate pitch accent contrasts in German, an intonation language. In intonation languages, pitch accents do not convey lexical information; also, pitch accents are sparser than lexical tones as they only associate with prominent words in the utterance. We compared two kinds of German pitch-accent contrasts: (1) a “non-merger” contrast, which Mandarin listeners perceive as different and (2) a “merger” contrast, which sounds more similar to Mandarin listeners. Speakers of a tone language are generally very sensitive to pitch. Hypothesis 1 (H1) therefore stated that Mandarin learners produce the two kinds of contrasts similarly to native German speakers. However, the documented sensitivity to tonal contrasts, at the expense of processing phrase-level intonational contrasts, may generally hinder target-like production of intonational pitch accents in the L2 (Hypothesis 2, H2). Finally, cross-linguistic influence (CLI) predicts a difference in the realization of these two contrasts as well as improvement with higher proficiency (Hypothesis 3, H3). We used a delayed imitation paradigm, which is well-suited for assessing L2-phonetics and -phonology because it does not necessitate access to intonational meaning. We investigated the imitation of three kinds of accents, which were associated with the sentence-final noun in short wh-questions (e.g., Wer malt denn Mandalas, lit: “Who draws PRT mandalas?” “Who likes drawing mandalas?”). In Experiment 1, 28 native speakers of Mandarin participated (14 low- and 14 high-proficient). The learners’ productions of the two kinds of contrasts were analyzed using General Additive Mixed Models to evaluate differences in pitch accent contrasts over time, in comparison to the productions of native German participants from an earlier study in our lab. Results showed a more pronounced realization of the non-merger contrast compared to German natives and a less distinct realization of the merger contrast, with beneficial effects of proficiency, lending support to H3. Experiment 2 tested low-proficient Italian learners of German (whose L1 is an intonation language) to contextualize the Mandarin data and further investigate CLI. Italian learners realized the non-merger contrast more target-like than Mandarin learners, lending additional support to CLI (H3).
Three Kinds of Rising-Falling Contours in German wh-Questions: Evidence From Form and Function
(2022)
The intonational realization of utterances is generally characterized by regional as well as inter- and intra-speaker variability in f0. Category boundaries thus remain “fuzzy” and it is non-trivial how the (continuous) acoustic space maps onto (discrete) pitch accent categories. We focus on three types of rising-falling contours, which differ in the alignment of L(ow) and H(igh) tones with respect to the stressed syllable. Most of the intonational systems on German have described two rising accent categories, e.g., L+H* and L*+H in the German ToBI system. L+H* has a high-pitched stressed syllable and a low leading tone aligned in the pre-tonic syllable; L*+H a low-pitched stressed syllable and a high trailing tone in the post-tonic syllable. There are indications for the existence of a third category which lies between these two categories, with both L and H aligned within the stressed syllable, henceforth termed (LH)*. In the present paper, we empirically investigate the distinctiveness of three rising-falling contours [L+H*, (LH)*, and L*+H, all with a subsequent low boundary tone] in German wh-questions. We employ an approach that addresses both the form and the function of the contours, also taking regional variation into account. In Experiment 1 (form), we used a delayed imitation paradigm to test whether Northern and Southern German speakers can imitate the three rising-falling contours in wh-questions as distinct contours. In Experiment 2 (function), we used a free association task to investigate whether listeners interpret the pragmatic meaning of the three contours differently. Imitation results showed that German speakers—both from the North and the South—reproduced the three contours. There was a small but significant effect of regional variety such that contours produced by speakers from the North were slightly more distinct than those by speakers from the South. In the association task, listeners from both varieties attributed distinct meanings to the (LH)* accent as opposed to the two ToBI accents L+H* and L*+H. Combined evidence from form and function suggests that three distinct contours can be found in the acoustic and perceptual space of German rising-falling contours.
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.
Issues in Price Measurement
(2022)
This thesis focuses on the issues in price measurement and consists of three chapters. Due to outdated weighting information, a Laspeyres-based consumer price index (CPI) is prone to accumulating upward bias. Therefore, chapter 1 introduces and examines simple and transparent revision approaches that retrospectively address the source of the bias. They provide a consistent long-run time series of the CPI and require no additional information. Furthermore, a coherent decomposition of the bias into the contributions of individual product groups is developed. In a case study, the approaches are applied to a Laspeyres-based CPI. The empirical results confirm the theoretical predictions. The proposed revision approaches are adoptable not only to most national CPIs but also to other price-level measures such as the producer price index or the import and export price indices.
Chapter 2 is dedicated to the measurement of import and export price indices. Such indices are complicated by the impact of exchange rates. These indices are usually also compiled by some Laspeyres type index. Therefore, substitution bias is an issue. The terms of trade (ratio of export and import price index) are therefore also likely to be distorted. The underlying substitution bias accumulates over time. The present article applies a simple and transparent retroactive correction approach that addresses the source of the substitution bias and produces meaningful long-run time series of import and export price levels and, therefore, of the terms of trade. Furthermore, an empirical case study is conducted that demonstrates the efficacy and versatility of the correction approach.
Chapter 3 leaves the field of index revision and studies another issue in price measurement, namely, the economic evaluation of digital products in monetary terms that have zero market prices. This chapter explores different methods of economic valuation and pricing of free digital products and proposes an alternative way to calculate the economic value and a shadow price of free digital products: the Usage Cost Model (UCM). The goal of the chapter is, first of all, to formulate a theoretical framework and incorporate an alternative measure of the value of free digital products. However, an empirical application is also made to show the work of the theoretical model. Some conclusions on applicability are drawn at the end of the chapter.
With the start of the Coronavirus (COVID-19) pandemic, the global education system has a faced immense challenges and disruptions resulting in and the necessity for an immediate redesign of teaching and learning in the school context. Face-to-face classroom instruction had to be replaced by ‘emergency remote teaching’, requiring teacher to adapt their daily routines to a new and unprecedented educational reality. Researchers and policymakers worldwide have agreed that, despite the fact that efforts were made to immediately adapt to emergency remote teaching, disadvantaged and vulnerable students may be especially at risk in emergency remote teaching. Given the differences in schooling organization across countries during the COVID-19 pandemic it can be expected that teachers performed inclusive instructional practices significantly different. Against the unpredictable situation, cross-country research has been urgently required to provide data that could inform education policy. Thus, this study explored teachers’ perceptions of supporting at risk students during the first COVID-19 school closures, as well as examining teachers’ inclusive teaching practices in three countries: Germany, Austria and Portugal. ANOVA results revealed important country differences. In general, it appears that teachers in Germany and Austria reported to have implemented less practices to address vulnerable and at-risk students compared to Portuguese teachers. Implications of the results, as well as further lines of research are outlined.