In managed forests, the enormous complexity of an ecologic system meets a vast range of economic and other impact factors. Thus, to determine, analyze and understand economically optimal stand management is a task which has kept forest economists occupied for the past 200 years. The approach which has been followed since the days of Martin FAUSTMANN is the analysis of models which describe rather specific management scenarios using a set of clearly defined model assumptions. Unfortunately, the applicability of the findings to more general scenarios is limited. On the other side, the possibility of analyzing general management environments with single models is also limited by increasing complexity. Thus, a holistic understanding of optimal forest management is still missing. This statement also holds for the extensive field of optimal even-aged timber production, which essentially consists of only three main components, i.e., planting, thinning and final harvest. Therefore, this dissertation aims to make a contribution to further increase the general understanding of even-aged forest management. To achieve this goal three steps were taken. First, a qualitative analysis of a combined management plan including decisions on all three basic components is presented based on HALBRITTER and DEEGEN (2015). It provides a discussion of the direct and indirect dependencies between the decision variables of a rotation in a rather classical management environment. Second, three studies are presented which dissolve some of the classical model assumptions and extend the existing knowledge on even-aged forestry to relevant but more complex mangement questions. HALBRITTER (2015) includes natural regeneration and a shelter period in an even-aged system and explores the borders between the even- and uneven-aged management. Thereby, the influence of natural regeneration and the impact of several age classes were studied. HALBRITTER (2020) drops the assumption of stand homogeneity and investigates stand management under heterogeneous tree growth in which, for example, different social classes of trees are maintained. Lastly, HALBRITTER et al. (2020) extend the classical deterministic management environment in the direction of density-dependent hazard risk. This adds an additional aspect to the thinning and the rotation decision because, in this scenario, the probability of stand destruction can be controlled by thinning. As a third step, the studies above were embedded in a patchwork representing a conglomeration of models which are connected and validated by overlapping scopes. Using this approach, a wide range of different management scenarios can be covered by rather simple models. Thus, the complexity of the analysis decreases compared to single models with a more generally applicable framework and the problem of model complexity is mitigated. In addition, the inclusion of reference models with a particular focus on the management components stand establishment, thinning or rotation allows for a clear identification of the relationship between optimal stand management and the characteristics of a scenario. Applied to the qualitative analysis of the four studies above, the approach yields insights which contribute to a better understanding of even-aged forest management.:1. Introduction 2. The FAUSTMANN Framework 2.1 Model Definition 2.2 The FAUSTMANN Model 2.3 Assumptions 2.4 Basic Applications 2.4.1 The Rotation Model 2.4.2 The Thinning Model 2.4.3 The Planting Model 2.4.4 The Uneven-aged Model 3. Problem 4. Methodology 5. The Combined Model 5.1 Model 5.2 Optimal Management 5.3 Impact of Timber Price and Interest Rate 5.4 Discussion in Comparison to the Basic FAUSTMANN Applications 6. Extensions 6.1 Uneven-Aged Extension: The Double-Cohort Model 6.1.1 Even-Aged and Uneven-Aged Stands 6.1.2 Model 6.1.3 Optimal Management 6.1.4 Impact of Timber Price and Interest Rate 6.1.5 Discussion in Comparison to the Basic FAUSTMANN Applications 6.2 Heterogeneous Extension: The Heterogeneous Stand Model 6.2.1 Homogeneous and Heterogenous Stands 6.2.2 Model 6.2.3 Optimal Management 6.2.4 Impact of Timber Price and Interest Rate 6.2.5 Discussion in Comparison to the Basic FAUSTMANN Applications 6.3 Stochastic Extension: The Natural Risk Model 6.3.1 Deterministic and Stochastic Scenarios 6.3.2 Model 6.3.3 Optimal Management 6.3.4 Impact of Timber Price and Interest Rate 6.3.5 Discussion in Comparison to the Basic FAUSTMANN Applications 7. Conclusions 7.1 Optimal Management Strategy 7.1.1 Optimal Planting 7.1.2 Optimal Thinning 7.1.3 Optimal Rotation 7.2 The Patchwork Approach 7.2.1 Applicability of the Patchwork Approach 7.2.2 Limitations of the Patchwork Approach 7.2.3 Comparison to the Holistic Approach 8. Summary

Determinants of wearing a bicycle helmet were examined. Interindividual differences in helmet wearing were formalized with three different health psychological theories. The Protection Motivation Theory (PMT) [1], explains intention for a health behavior using subjective beliefs on the efficacy and costs of a specific health behavior, self-efficacy and risk and severity of negative consequences as well as benefits of not doing said behavior. The Theory of Planned Behavior (TPB) [2] uses attitude, subjective norms and behavioral control about a (health) behavior to predict intention to a behavior, which in turn can predict actual behavior. Lastly, the Health Action Process Approach (HAPA) [3] is similar to PMT, but puts more emphasis on self-efficacy while omitting costs of beneficial behavior. lt includes both intention and behavior, as well as planning as an intermediate step between intention and behavior. [From: Theory]

The Gross-Neveu model is a quantum field theory of interacting N-flavor fermions in 1+1dimensions, with interaction term $(\bar{\psi}_f\psi_f )^2$. This model is studied using the property offactorized scattering. The spectrum of bound states including the kinks are discussed andthe thermodynamic state equations are derived using the thermodynamic Bethe ansatz.The full particle-particle integral kernel and corresponding S-matrix is derived startingfrom the Gross-Neveu version of the Y -system introduced by Zamolodchikov. / Gross-Neveu-modellen är en kvantfältteori som beskriver N identiska versioner av fundamentala fermioner i 1 + 1 dimensioner, växelverkande med potentialen $(\bar{\psi}_f\psi_f )^2$. Modellen studeras med utgångspunkt i partiklarnas så kallade faktoriserade spridning. Samtligafysikaliska bundna tillstånd inklusive solitonerna diskuteras och de termodynamiska tillståndsekvationerna härleds med hjälp av Bethe-ansatsen. Alla integralkärnor och motsvarande S-matriselement beräknas på sluten form utifrån Y-systemet som först beskrevs av Zamolodchikov.

Approximate query processing is an adequate technique to reduce response times and system load in cases where approximate results suffice. In database literature, sampling has been proposed to evaluate queries approximately by using only a subset of the original data. Unfortunately, most of these methods consider either only certain problems arising due to the use of samples in databases (e.g. data skew) or only join operations involving multiple relations. We describe how well-known sampling techniques dealing with group-by operations can be combined with foreign-key joins such that the join is computed after the generation of the sample. In detail, we show how senate sampling and small group sampling can be combined efficiently with the idea of join synopses. Additionally, we introduce different algorithms which maintain the sample if the underlying data changes. Finally, we prove the superiority of our method to the naive approach in an extensive set of experiments.

Upcoming processors are combining different computing units in a tightly-coupled approach using a unified shared memory hierarchy. This tightly-coupled combination leads to novel properties with regard to cooperation and interaction. This paper demonstrates the advantages of those processors for a stream-join operator as an important data-intensive example. In detail, we propose our HELLS-Join approach employing all heterogeneous devices by outsourcing parts of the algorithm on the appropriate device. Our HELLS-Join performs better than CPU stream joins, allowing wider time windows, higher stream frequencies, and more streams to be joined as before.

Sub-Saharan Africa (SSA) is replete with significant environmental resources including forests, water, land, and energy; although its transition to a bio-resource economy is yet to be actualized. Consequently, there are limited socio-economic gains from resource valorization. These challenges which stall progress towards the attainment of several interlinked sustainable development goals, are rooted, among others in resource governance defects. Furthermore, the persistence of knowledge fragmentation on resource governance shades possibilities for an in-depth theorizing of the nexus approach. In this light, two questions beg for answers: (i) To what extent are governance indicators captured in empirical studies on the nexus approach in SSA? (ii) What questions and approaches should inform future research on the nexus approach in SSA? To answer these questions, this paper systematically reviews 100 peer-reviewed articles (with 154 cases) that address governance questions in nexus studies within the broad framework of bioeconomy transitioning in SSA. Using the PROFOR analytical framework, our analysis reveals the following: (1) Although sub-regional variations exist in the application of nexus thinking, the overall emphasis in SSA is on first-level resource transformation. (2) With only 5% of studies explicitly mentioning the nexus approach, there is a strong indication for nexus thinking to be prioritized in future research. (3) While efficiency is the most recurrent in the literature (69%), its assurance in resource nexus and transformation is insignificant. (4) Interlinked questions of equity, participation, transparency, and conflict management have not been sufficiently addressed in studies on the nexus approach. The paper suggests an urgent need for in-depth, multi-country, and interdisciplinary research on these governance parameters in the nexus approach, as prerequisite to advancing the science–policy intercourse in nexus thinking in SSA.

Biophysikalische Veränderungen der Produktionsbedingungen zwingen Landwirte zur Anpassung ihrer klimasensiblen Produktionsprozesse. Eine ökonomische Bewertung dieser strategischen Alternativen ist angesichts der Unsicherheiten durch den Klimawandel von hoher Bedeutung. Mit nur wenigen empirischen Studien befindet sich die Forschung in diesem Bereich jedoch noch im Anfangsstadium. Die vorliegende Studie zielt auf die Entwicklung eines integrierten ökonomischen Rahmens für die Bewertung von Anpassungsoptionen ab. Die theoretische und ökonometrische Analyse wird dabei anhand (1) einer prozessorientierten Analyse von Produktionsverfahren und Anpassungsoptionen auf Basis der Theorie der Betriebslehre sowie (2) eines hedonischen (Ricardianischen) Ansatzes, basierend auf der Theorie zu Landrenten und Veränderungen des Nettobetriebseinkommens, in Abhängigkeit von klimatischen Variablen durchgeführt. Die Analyse von Input-Output-Verhältnissen der Reisproduktion basiert auf einer umfassenden Befragung von 300 „klimaangepassten“ Landwirten über acht Jahre in Bangladesch. Es werden insgesamt 14 Anpassungsoptionen für zwei Anbauperioden von Reis identifiziert. Eine Kombination der Methoden ermöglicht dabei drei Vorteile: (1) Eine geringere Ressourcennutzung in Kombination mit einer moderaten produktiven Leistung und einem hohen Nettoeinkommen, (2) eine Verringerung von Treibhausgasemissionen sowie (3) einen klimaangepassten Betrieb. Es wird gezeigt, dass sich Temperaturänderungen in beiden Perioden negativ auf das Betriebseinkommen auswirken. Niederschlagsänderungen sind in allen Modellen signifikant und positiv zu bewerten. Die Studie zeigt eindeutig, dass eine sukzessive Anpassung das Betriebsergebnis signifikant erhöhen und zu einer Steigerung des Betriebseinkommens beitragen kann. Durch die Modellierung der Auswirkungen verschiedener Szenarien des Klimawandels auf das Nettobetriebseinkommen werden die nachteiligen Effekte auf zukünftige Betriebseinkommen aufgezeigt. / The bio-physical change in the production environment has directed farmers towards strategic alternatives for farming practices. The economic assessment of these adaptation options is of great importance in facing the uncertainty of climate change. However, the economic assessment of farm-level adaptation options remains in its infancy with few empirical studies. The study framework analyzes economic implications of alternative farming activities relating to climate change in several dimensions. The theoretical and empirical economic approach of the study can be characterized in two distinct ways: (1) the process-based approach following farm management theory by production performance analysis and the appraisal of adaptation and (2) the hedonic (Ricardian) approach based on land rent theory and the change in net farm income in relation to climatic variables. The analysis of input-output relations of rice farming was done based on an intensive survey of 300 adapted farmers in Bangladesh over 8 years at different climate thresholds. The study assesses different adaptation options for two rice growing seasons, namely Boro and Amon. These options are (1) low resource use, moderate productive performance and high farm net income, (2) minimum GHG production and (3) farms coping with changing climatic conditions. The study reveals that marginal impacts of temperature on farm net income are negative for all seasons. The marginal impacts of rainfall were found to be positive and significant for all models in the study. It is also evident from the analysis that successive adaptation significantly increases farm productivity and contributes to the revival of farm revenue up to a threshold level. Finally, based on estimated climate variability models of farm net income, the study presents a model that simulates according to future climate change scenarios. It indicates adverse effects of climate change on future farm income.

Les comportements critiques des systèmes de mécanique statistique en 2 dimensions ou de mécanique quantique en 1+1 dimensions, ainsi que certains aspects des systèmes sans interactions en 2+1 dimensions, sont efficacement décrits par les méthodes de la théorie des champs conforme et de l'intégrabilité, dont le développement a été spectaculaire au cours des 40 dernières années. Plusieurs problèmes résistent cependant toujours à une compréhension exacte, parmi lesquels celui de la transition entre plateaux dans l'Effet Hall Quantique Entier. La raison principale en est que de tels problèmes sont généralement associés à des théories non unitaires, ou théories conformes logarithmiques, dont la classification se révèle être d'une grande difficulté mathématique. Se tournant vers la recherche de modèles discrets (chaînes de spins, modèles sur réseau), dans l'espoir en particulier d'en trouver des représentations en termes de modèles exactement solubles (intégrables), on se heurte à la deuxième difficulté représentée par le fait que les théories associées sont la plupart du temps non compactes, ou en d'autres termes qu'elles donnent lieu à un continuum d'exposants critiques. En effet, le lien entre modèles discrets et théories des champs non compactes est à ce jour loin d'être compris, en particulier il a longtemps été cru que de telles théories ne pouvaient pas émerger comme limites continues de modèles discrets construits à partir d'un ensemble compact de degrés de libertés, par ailleurs les seuls qui donnent a accès à une construction systématique de solutions exactes.Dans cette thèse, on montre que le monde des modèles discrets compacts ayant une limite continue non compacte est en fait beaucoup plus grand que ce que les quelques exemples connus jusqu'ici auraient pu laisser suspecter. Plus précisément, on y présente une solution exacte par ansatz de Bethe d'une famille infinie de modèles(les modèles $a_n^{(2)}$, ainsi que quelques résultats sur les modèles $b_n^{(1)}$, où il est observé que tous ces modèles sont décrits dans un certain régime par des théories conformes non compactes. Parmi ces modèles, certains jouent un rôle important dans la description de phénomènes physiques, parmi lesquels la description de polymères en deux dimensions avec des interactions attractives et des modèles de boucles impliqués dans l'étude de modèles de Potts couplés ou dans une tentative de description de la transition entre plateaux dans l'Effet Hall par un modèle géométrique compact.On montre que l'existence insoupçonnéede limite continues non compacts pour de tels modèles peut avoir d'importantes conséquences pratiques, par exemple dans l'estimation numérique d'exposants critiques ou dans le résultats de simulations de Monte Carlo. Nos résultats sont appliqués à une meilleure compréhension de la transition theta décrivant l'effondrement des polymères en deux dimensions, et des perspectives pour une potentielle compréhension de la transition entre plateaux en termes de modèles sur réseaux sont présentées. / The critical points of statistical mechanical systems in 2 dimensions or quantum mechanical systems in 1+1 dimensions (this also includes non interacting systems in 2+1 dimensions) are effciently tackled by the exact methods of conformal fieldtheory (CFT) and integrability, which have witnessed a spectacular progress during the past 40 years. Several problems have however escaped an exact understanding so far, among which the plateau transition in the Integer Quantum Hall Effect,the main reason for this being that such problems are usually associated with non unitary, logarithmic conformal field theories, the tentative classification of which leading to formidable mathematical dificulties. Turning to a lattice approach, andin particular to the quest for integrable, exactly sovable representatives of these problems, one hits the second dificulty that the associated CFTs are usually of the non compact type, or in other terms that they involve a continuum of criticalexponents. The connection between non compact field theories and lattice models or spin chains is indeed not very clear, and in particular it has long been believed that the former could not arise as the continuum limit of discrete models built out of acompact set of degrees of freedom, which are the only ones allowing for a systematic construction of exact solutions.In this thesis, we show that the world of compact lattice models/spin chains with a non compact continuum limit is much bigger than what could be expected from the few particular examples known up to this date. More precisely we propose an exact Bethe ansatz solution of an infinite family of models (the so-called $a_n^{(2)}$ models, as well as some results on the $b_n^{(1)}$ models), and show that all of these models allow for a regime described by a non compact CFT. Such models include cases ofgreat physical relevance, among which a model for two-dimensional polymers with attractive interactions and loop models involved in the description of coupled Potts models or in a tentative description of the quantum Hall plateau transition by somecompact geometrical truncation. We show that the existence of an unsuspected non compact continuum limit for such models can have dramatic practical effects, for instance on the output of numerical determination of the critical exponents or ofMonte-Carlo simulations. We put our results to use for a better understanding of the controversial theta transition describing the collapse of polymers in two dimensions, and draw perspectives on a possible understanding of the quantum Hall plateautransition by the lattice approach.

Diese Dissertation ist auch unter folgender DOI auffindbar:http://dx.doi.org/10.20386/HUB-43089 / Die maximal supersymmetrische Yang-Mills-Theorie im vierdimensionalen Minkowski-Raum ist ein außergewöhnliches Modell der mathematischen Physik. Dies gilt vor allem im planaren Limes, in dem die Theorie integrabel zu sein scheint. So sind etwa ihre Streuamplituden auf Baumgraphenniveau Invarianten einer Yangschen Algebra, die die superkonforme Algebra psu(2,2|4) beinhaltet. Diese unendlichdimmensionale Symmetrie ist ein Kennzeichen für Integrabilität. In dieser Dissertation untersuchen wir Verbindungen zwischen solchen Amplituden und integrablen Modellen, um Grundlagen für eine effiziente, auf der Integrabilität basierende Berechnung von Amplituden zu legen. Dazu charakterisieren wir Yangsche Invarianten innerhalb der Quanten-Inverse-Streumethode, die Werkzeuge zur Behandlung integrabler Spinketten bereitstellt. In diesem Rahmen entwickeln wir Methoden zur Konstruktion Yangscher Invarianten. Wir zeigen, dass der algebraische Bethe-Ansatz für die Erzeugung von Yangschen Invarianten für u(2) anwendbar ist. Die zugehörigen Bethe-Gleichungen lassen sich leicht lösen. Unser Zugang erlaubt es zudem diese Invarianten als Zustandssummen von Vertexmodellen zu interpretieren. Außerdem führen wir ein unitäres Graßmannsches Matrixmodell zur Berechnung Yangscher Invarianten mit Oszillatordarstellungen von u(p,q|m) ein. In einem Spezialfall reduziert es sich zu dem Brezin-Gross-Witten-Model. Wir wenden eine auf Bargmann zurückgehende Integraltransformation auf unser Matrixmodell an, welche die Oszillatoren in Spinor-Helizitäts-artige Variablen überführt. Dadurch gelangen wir zu einer Weiterentwicklung der Graßmann-Integralformulierung bestimmter Amplituden. Die maßgeblichen Unterschiede sind, dass wir in der Minkowski-Signatur arbeiten und die Integrationskontur auf die unitäre Gruppenmannigfaltigkeit festgelegt ist. Wir vergleichen durch unser Integral gegebene Yangsche Invarianten mit Amplituden und kürzlich eingeführten Deformationen derselben. / The maximally supersymmetric Yang-Mills theory in four-dimensional Minkowski space is an exceptional model of mathematical physics. Even more so in the planar limit, where the theory is believed to be integrable. In particular, the tree-level scattering amplitudes were shown to be invariant under the Yangian of the superconformal algebra psu(2,2|4). This infinite-dimensional symmetry is a hallmark of integrability. In this dissertation we explore connections between these amplitudes and integrable models. Our aim is to lay foundations for an efficient integrability-based computation of amplitudes. To this end, we characterize Yangian invariants within the quantum inverse scattering method, which is an extensive toolbox for integrable spin chains. Making use of this setup, we develop methods for the construction of Yangian invariants. We show that the algebraic Bethe ansatz can be specialized to yield Yangian invariants for u(2). Our approach also allows to interpret these Yangian invariants as partition functions of vertex models. What is more, we establish a unitary Graßmannian matrix model for the construction of u(p,q|m) Yangian invariants with oscillator representations. In a special case our formula reduces to the Brezin-Gross-Witten model. We apply an integral transformation due to Bargmann to our unitary Graßmannian matrix model, which turns the oscillators into spinor helicity-like variables. Thereby we are led to a refined version of the Graßmannian integral formula for certain amplitudes. The most decisive differences are that we work in Minkowski signature and that the integration contour is fixed to be a unitary group manifold. We compare Yangian invariants defined by our integral to amplitudes and recently introduced deformations thereof.

Inspiriert von den integrablen Strukturen der schwach gekoppelten planaren N=4 Super-Yang-Mills-Theorie studieren wir Q-Operatoren und Yangsche Invarianten. Wir geben eine Übersicht der Quanten-Inverse-Streumethode zusammen mit der Yang-Baxter Gleichung welche zentral für diesen systematischen Zugang zu integrablen Modellen ist. Den Fokus richten wir auf rationale integrable Spinketten und Vertexmodelle. Wir besprechen einige ihrer bekannten Gemeinsamkeiten und wie sie durch Bethe-Ansatz-Methoden mit Hilfe sogenannter Q-Funktionen gelöst werden können. Der Hauptteil basiert auf den ursprünglichen Publikationen des Autors. Zuerst konstruieren wir Q-Operatoren, deren Eigenwerte zu den Q-Funktionen rationaler homogener Spinketten führen. Die Q-Operatoren werden als Spuren gewisser Monodromien von R-Operatoren eingeführt. Unsere Konstruktion erlaubt es uns die Hierarchie der kommutierenden Q-Operatoren und ihre funktionalen Beziehungen herzuleiten. Wir studieren wie der nächste-Nachbarn Hamiltonoperator, sowie höhere lokale Ladungen direkt aus den Q-Operatoren extrahiert werden können. Danach widmen wir uns der Formulierung der Yangschen Invarianzbedingung, wie sie auch im Zusammenhang mit Baumgraphen die bei der Berechnung von Streuamplituden in der N=4 Super-Yang-Mills-Theorie auftreten, innerhalb der RTT-Realisierung. Dies erlaubt es uns den algebraischen Bethe-Ansatz anzuwenden und die dazugehörigen Bethe Gleichungen herzuleiten, welche für die Konstruktion der Eigenzustände die Yangsche Invarianz aufweisen, relevant sind. Die Komponenten dieser Eigenzustände der von uns betrachteten Spinketten können außerdem als Zustandssummen gewisser zweidimensionaler Vertexmodelle angesehen werden. Zudem analysieren wir die Verbindung zwischen den Eigenzuständen und den oben genannten Baumgraphen. Schlussendlich diskutieren wir die von uns vorgelegten Ergebnisse und deren Folgen im Hinblick auf die Erforschung der planaren N=4 Super-Yang-Mills-Theorie. / Inspired by the integrable structures appearing in weakly coupled planar N=4 super Yang-Mills theory, we study Q-operators and Yangian invariants of rational integrable spin chains. We review the quantum inverse scattering method QISM along with the Yang-Baxter equation which is the key relation in this systematic approach to study integrable models. Our main interest concerns rational integrable spin chains and lattice models. We recall the relation among them and how they can be solved using Bethe ansatz methods incorporating so-called Q-functions. In order to remind the reader how the Yangian emerges in this context, an overview of its so-called RTT-realization is provided. The main part is based on the author''s original publications. Firstly, we construct Q-operators whose eigenvalues yield the Q-functions for rational homogeneous spin chains. The Q-operators are introduced as traces over certain monodromies of R-operators. Our construction allows us to derive the hierarchy of commuting Q-operators and the functional relations among them. We study how the nearest-neighbor Hamiltonian and in principle also higher local charges can be extracted from the Q-operators directly. Secondly, we formulate the Yangian invariance condition, also studied in relation to scattering amplitudes of N=4 super Yang-Mills theory, in the RTT-realization. We find that Yangian invariants can be interpreted as special eigenvectors of certain inhomogeneous spin chains. This allows us to apply the algebraic Bethe ansatz and derive the corresponding Bethe equations that are relevant to construct the invariants. We examine the connection between the Yangian invariant spin chain eigenstates whose components can be understood as partition functions of certain two-dimensional lattice models and tree-level scattering amplitudes of the four-dimensional gauge theory. Finally, we conclude and discuss some future directions and implications of our studies for planar N=4 super Yang-Mills theory.