Diese Dissertation setzt sich aus fünf Forschungspapieren zusammen. Jedes Kapitel enthält ein Papier. Das erste Kapitel untersucht den Zusammenhang zwischen der Größe des Kundenstamms einer Firma und ihrem Gewinn in einem Markt mit Wechselkosten. Entgegen unserer Intuition wird gezeigt, dass Firmen nicht immer von einer Vergrößerung ihres Kundenstamms profitieren, weil diese die Intensität des Wettbewerbs beeinflusst. Kapitel 2 führt eine ähnliche Untersuchung durch, aber für einen Markt, in dem die Konsumenten unvollständig über die Standorte der Anbieter informiert sind. Es zeigt sich auch hier, dass eine Firma nicht immer von einem großen Kundenstamm profitiert. Die zugrunde liegenden Mechanismen unterscheiden sich jedoch deutlich von denen in Kapitel 1. Kapitel 3 ist eine Erweiterung des Modells mit unvollständiger Konsumenteninformation hin zu einer vollständig dynamischen Version. Im Zentrum der Analyse stehen nun die dynamischen Eigenschaften des Modells. Unter den Annahmen über die graduelle Verbreitung von Information auf der Konsumentenseite entsteht Trägheit in den Marktanteilen der Firmen. Dynamik entsteht im Modell ausschließlich aufgrund der Verwendung von gemischten Preisstrategien. Kapitel 4 analysiert Wettbewerb in einem vertikal differenzierten Markt. Hier gibt es keine Trägheit auf der Nachfrageseite. Das Hauptergebnis der Analyse ist, dass Wohlfahrtsverluste, die im Duopol aus ineffizienter Qualitätswahl resultieren, in Märkten mit drei oder mehr Wettbewerbern fast vollständig verschwinden. Dieses überraschende Ergebnis resultiert aus einem Regimewechsel in der Art des Wettbewerbs, der beim Übergang vom Duopol zum Markt mit drei Wettbewerbern auftritt. Kapitel 5 ist eine Erweiterung von Kapitel 4. Während in Kapitel 4 ein quadratischer Zusammenhang zwischen Kosten bzw. Zahlungsbereitschaft und Qualität angenommen wurde, wird die Analyse nun für eine allgemeinere nicht-lineare Abhängigkeit durchgeführt. Es werden grundlegende Einsichten über das Funktionieren von vertikal differenzierten Märkten vermittelt. So zeigt sich, dass der allgemein postulierte Vorteil der Firma mit der höheren Produktqualität nicht allgemeingültig ist. Ob dieser besteht, hängt von der Art der strategischen Interaktion ab. / This dissertation consists of five independent research papers. Each chapter represents one paper. The first chapter analyzes the shape of the relation between the size of a firm’s customer base and profit in a market with consumer switching costs. Contrary to common wisdom, it is shown that a firm is not automatically better off with a larger customer base, as the size of its customer base affects the intensity of price competition. Chapter 2 performs a similar exercise, but for a market where consumers are not fully informed about the locations of the different suppliers. Once more, it is shown that firms do not always benefit from an increase in the size of their customer base. However, the underlying mechanisms are rather different than in the model with switching costs. Chapter 3 is an extension of the model introduced in chapter 2 to a fully dynamic game. The focus of chapter 3 is on the dynamics in a market with incomplete consumer information. Under the assumptions about the gradual diffusion of information among consumers, there is inertia in the market shares. Dynamics are generated solely by the firms’ usage of mixed pricing strategies. Chapter 4 analyzes competition in a vertically differentiated market. There is no inertia on the demand side. The main result of the analysis is, that welfare losses that stem from an inefficient choice of qualities in the duopoly case, disappear almost completely as soon as three or more competitors are in the market. This surprising result is related to a regime change in the nature of competition that occurs at the transition from duopoly to triopoly. Chapter 5 is an extension of chapter 4. Whereas the model introduced in chapter 4 was based on a quadratic relation between costs or willingness-to-pay and quality, the analysis is now extended to a more general non-linear dependency. The analysis provides fundamental insights into the functioning of vertically differentiated markets. Interestingly, the well-known high-quality advantage is not a robust feature of these markets. Whether it is obtained, depends on the nature of strategic interaction between the firms.

Wetter stellt für die Landwirtschaft einen Hauptunsicherheitsfaktor dar. Angesichts der Kli-maveränderung gilt es als wahrscheinlich, dass Wetterschwankungen und die Häufigkeit extremer Wetterereignisse in Zukunft zunehmen werden. Vor diesem Hintergrund spielt die Entwicklung von Wetterrisikomanagementinstrumenten eine wichtige Rolle zur Einkom-mensstabilisierung in der Landwirtschaft sowohl in entwickelten Volkswirtschaften als auch in Entwicklungsländern. Seit Mitte der neunziger Jahre werden auf Finanzmärkten sogenannte Wetterderivate angebo-ten, die den Austausch von Wetterrisiken zwischen Marktteilnehmern ermöglichen. Zielsetzung der vorliegenden Arbeits ist es, die Einsatzmöglichkeiten von Wetterderivaten in der Landwirtschaft zu untersuchen. Dazu sind verschiedene methodische Vorarbeiten zu leisten. Erstens, wird ein statistisches Modell benötigt, das die Unsicherheit des betrachteten Wetterereignisses (z.B. Temperatur oder Niederschlag) beschreibt. Zweitens, muss der Zusammenhang zwischen Wetter und landwirtschaftlicher Produkti-on abgebildet werden. Drittens, schließlich bedarf es eines theoretischen Modells, um das Wetterderivat zu bepreisen. Liegen die genannten Modellkomponenten vor, kann die Hedgingeffektivität eines Wetterde-rivats aus Sicht eines landwirtschaftlichen Produzenten bestimmt werden. Dies geschieht in der vorliegenden Arbeit beispielhaft für Getreideproduzenten in Deutschland. Es zeigt sich, dass die Hedgigeffektivität und damit die Zahlungsbereitschaft für Wetterderivate produkt- und regionsspezifisch ist. Angesichts eines ausgeprägten Basisrisikos ist es unwahrscheinlich, dass Wetterderivate in Deutschland eine breite Anwendung durch Landwirte erfahren werden. Ihr Anwendungspotenzial bei landwirtschaftlichen Versicherern und Rückversicheren er-scheint dagegen höher, da diese mit Hilfe von Wetterderivaten einen Teil ihres systematischen Risikos aus landwirtschaftlichen Ertragsversicherungen auf den Kapitalmarkt transferieren können. / Weather is a major factor of uncertainty for agriculture. The effects of climate change means that it is likely that in the future there will be increased fluctuations in weather patterns and extreme meteorological events will become more regular. In this context, the development of weather risk management instruments plays an important role in the stabilising of incomes in the agricultural sector, both in developed economies as well as in developing countries. Since the mid-nineties, so-called weather derivatives have been emerged on the market which enables participants in the market to exchange weather risks. This work aims to investigate the implementation possibilities of weather derivatives in agriculture. A range of methodological preliminary investigations will be carried out. First of all it is necessary to find a statistical model which describes the uncertainty of observed weather events (e.g. temperature or precipitation). Secondly, the relationship between weather and agricultural production needs to be mapped. Thirdly, a theoretical model needs to be devised which is capable of pricing the weather derivatives. The hedging effectiveness of a weather derivative can be determined from the point of view of an agricultural producer using the model components described above. This study will use the example of grain producers in Germany. It will demonstrate that hedging effectiveness and with it willingness to pay for weather derivatives depends on the product and region. A pronounced basis risk means that it is unlikely that weather derivatives will be widely used by farmers in Germany. Their application potential for agricultural insurers and reinsurers, however, seems greater, since they can use weather derivatives to transfer a part of their systematic risk from agricultural income insurance onto the capital market.

Der erste Teil der Arbeit beschreibt eine Methode, Auszahlungen zu bewerten, die einem auf dem Finanzmarkt nicht absicherbaren Risiken ausgesetzt sind. Im zweiten Teil berechnen wir den maximalen Nutzen und optimale Handelsstrategien auf unvollständigen Märkten mit Hilfe von stochastischen Rückwärtsgleichungen. Wir betrachten Händler, deren Einkommen einer externen Risikoquelle ausgesetzt sind. Diese vervollständigen den Markt, indem sie entweder einen Bond schaffen oder gegenseitig Verträge schliessen. Eine andere Moeglichkeit ist eine Anleihe, die von einer Versicherung herausgegeben wird. Die Risikoquellen, die wir in Betracht ziehen, können Versicherungs-, Wetter-oder Klimarisiko sein. Aktienpreise sind exogen gegeben. Wir berechnen Preise für die zusätzlichen Anlagen so dass Angebot und Nachfrage dafür gleich sind. Wir haben partielle Markträumung. Die Präferenzen der Händler sind durch erwarteten Nutzen gegeben. In Kapitel 2 bis Kapitel 4 haben die Händler exponentielle Nutzenfunktionen. Um den Gleichgewichtspreis zu finden, wenden wir stochastische Rückwärtsgleichungen an. In Kapitel 5 beschreiben wir ein Einperiodenmodell mit Nutzenfunktionen, die die Inada-Bedingungen erfüllen. Der zweite Teil dieser Arbeit beschäftigt sich mit dem robusten Nutzenmaximierungsproblem auf einem unvollständigen Finanzmarkt. Entweder das Wahrscheinlichkeitsmass oder die Koeffizienten des Aktienmarktes sind ungewiss. Die Lösung der Rückwärtsgleichung beschreibt die nutzenmaximierende Handelsstrategie und das Wahrscheinlichkeitsmass, das in der Auswertung des robusten Nutzens benutzt wird. Für die exponentielle Nutzenfunktion berechnen wir Nutzenindifferenzpreise. Ausserdem wenden wir diese Techniken auf die Maximierung des erwarteten Nutzens bezüglich eines festen Wahrscheinlichkeitsmasses an. Dafür betrachten wir abgeschlossene, im allgemeinen nicht konvexe zulässige Mengen für die Handelsstrategien. / The first part of the thesis proposes a method to find prices and hedging strategies for risky claims exposed to a risk factor that is not hedgeable on a financial market. In the second part we calculate the maximal utility and optimal trading strategies on incomplete markets using Backward Stochastic Differential Equations. We consider agents with incomes exposed to a non-hedgeable external source of risk by creating either a bond or by signing contracts. The sources of risk we think of may be insurance, weather or climate risk. Stock prices are seen as exogenuosly given. We calculate prices for the additional securities such that supply is equal to demand, the market clears partially. The preferences of the agents are described by expected utility. In Chapter 2 through Chapter 4 the agents use exponential utility functions, the model is placed in a Brownian filtration. In order to find the equilibrium price, we use Backward Stochastic Differential Equations. Chapter 5 provides a one--period model where the agents use utility functions satisfying the Inada condition. The second part of this thesis considers the robust utility maximization problem on an incomplete financial market. Either the probability measure or drift and volatility of the stock price process are uncertain. We apply a martingale argument and solve a saddle point problem. The solution of a Backward Stochastic Differential Equation describes the maximizing trading strategy as well as the probability measure that is used in the robust utility. We consider the exponential, the power and the logarithmic utility functions. For the exponential utility function we calculate utility indifference prices of not perfectly hedgeable claims. Finally, we maximize the expected utility with respect to a single probability measure. We apply a martingale argument and solve maximization problems. This allows us to consider closed, in general non--convex constraints on the values of trading strategies.

The diploma theses is focused on matrix-free preconditioning of a linear system. It gives a very brief introduction into the area of iterative methods, preconditioning and matrix-free environment. The emphasis is put on a detailed description of a variant of LU factorization which can be computed in a matrix-free manner and on a new technique connected with this factorization for preconditioning by incomplete LU factors in matrix-free environment. Its main features are storage of only one of the two incomplete factors and low memory costs during the computation of the stored factor. The thesis closes with numerical experiments demonstrating the efficiency of the proposed technique.

O presente trabalho visa analisar em que medida a alteração das circunstâncias negociais que levem à situação de onerosidade excessiva prevista pelo Código Civil produz efeitos sobre a utilidade que as partes derivam dos contratos de engineering, considerados estes como contratos que têm por objeto o desenvolvimento de projetos industriais e de infraestrutura de grande porte. Situa esses contratos em seu contexto histórico e social, descrevendo seus principais elementos de distinção, especialmente a complexidade e risco das operações econômicas que lhes é subjacente e os qualifica como contratos socialmente típicos, sujeitos ao regime dos contratos de empreitada. A tese discute a adequação do tratamento jurisprudencial que vem sendo dado à onerosidade excessiva e descreve os esquemas negociais geralmente usados em tais contratos para fins de alocação de riscos. Finalmente, a tese discute a aplicação de modelos da Análise Econômica do Direito, como a Teoria dos Contratos Incompletos, como subsídio para a valoração de aplicabilidade das normas sobre onerosidade excessiva aos contratos de engineering e análise dos efeitos de sua aplicação sobre esses contratos. / The aim of this work is to analyze to what extent changed circumstances that are contractually relevant, so as to characterize the legal figure of excessive onerosity [a situation of material burden for complying with a given obligation on one of the contracting parties] pursuant to the Brazilian Civil Code, bring about effects on the payoffs the contracting parties derive from so-called engineering agreements, understood as agreements for the development of large-scale industrial and infrastructure projects. The work traces back the historical and social context of such agreements and describes their main distinguishing features, especially the complexity and risk elements of their underlying economic transactions. The work also describes such agreements as socially codified agreements, subject to the discipline of a legally codified figure called empreitada [or contractor agreement]. The work also discusses how court precedents deal with the legal figure of excessive onerosity and describes the deal structures normally used in such agreements for the purposes of risk allocation. Finally, the work discusses the application of Law & Economics models, such as the Theory of Incomplete Contracts, as a tool for evaluating the applicability of rules governing the legal figure of excessive onerosity to engineering agreements and analyzing their respective effects.

L’hémochromatose HFE est une maladie du métabolisme du fer liée au gène HFE dont la principale mutation est C282Y. L’objectif général de ce travail était d’étudier l’influence de facteurs génétiques et non génétiques sur l’expression phénotypique de patients atteints d’hémochromatose HFE. Cette étude prospective incluait les patients C282Y/C282Y etC282Y/H63D inclus en protocole de saignées entre janvier 2004 et décembre 2011 au centre de santé brestois de l’EFS-Bretagne. Dans un premier temps, nous avons étudié l’influence du génotype C282Y/H63D sur la survenue d’une surcharge en fer. Nous avons confirmé que le variant H63D doit être considéré comme un facteur de susceptibilité dont l’expression est liée à la présence de co-facteurs responsables d’une hyper ferritinémie. Ensuite, nous avons étudié le rôle des grossesses et de l’alimentation sur l’expression phénotypique du génotype C282Yhomozygote. Nous avons montré qu’il existe bien une différence d’expressivité clinique liée au sexe chez les patients C282Y/C282Y. Cependant, nos données n’ont pas confirmé l’effet protecteur typiquement attribué aux grossesses pour expliquer la plus lente accumulation de fer chez les femmes. Cette étude a également mis en évidence une association modérée entre la consommation d’aliments riches en fer et le degré de surcharge en fer des patients C282Yhomozygotes traités par phlébotomies. Ce travail contribue à mieux comprendre l’hétérogénéité phénotypique observée dans l’hémochromatose HFE. La finalité est de pouvoir repérer précocement les sujets les plus à risque de développer les surcharges en fer les plus sévères et par conséquent des complications cliniques. / HFE hemochromatosis is a disorder of iron metabolism related to the HFE gene whose mainmutation is C282Y. The overall aim of this study was to investigate the influence of genetic and non genetic factors on phenotypic expression of patients with HFE hemochromatosis. This prospective study included the C282Y/C282Y and C282Y/H63D patients enrolled in a phlebotomy program between 2004 and 2011 in a blood centre of western Brittany (Brest, France). First, weassessed the weight of the C282Y/H63D genotype in the occurrence of iron overload. We confirmed that H63D is a discrete genetic susceptibility factor whose expression is most visible in association with other co-factors responsible for hyper ferritinemia. Then we investigated the effect of pregnancies and iron-rich diet on phenotypic expressivity of the C282Y/C282Y genotype. We have shown that there is a difference in clinical expression related to gender in C282Y/C282Ypatients. However our findings did not confirm that pregnancies protect against iron accumulationin women. This study established a moderate link between dietary iron intake and the degree of iron overload in HFE hemochromatosis patients who come to medical attention. This work contributes to a better understanding of the phenotypic heterogeneity observed in HFE hemochromatosis. The purpose is to identify precociously subjects the most at risk of developing iron overload and therefore clinical complications.

O presente trabalho visa analisar em que medida a alteração das circunstâncias negociais que levem à situação de onerosidade excessiva prevista pelo Código Civil produz efeitos sobre a utilidade que as partes derivam dos contratos de engineering, considerados estes como contratos que têm por objeto o desenvolvimento de projetos industriais e de infraestrutura de grande porte. Situa esses contratos em seu contexto histórico e social, descrevendo seus principais elementos de distinção, especialmente a complexidade e risco das operações econômicas que lhes é subjacente e os qualifica como contratos socialmente típicos, sujeitos ao regime dos contratos de empreitada. A tese discute a adequação do tratamento jurisprudencial que vem sendo dado à onerosidade excessiva e descreve os esquemas negociais geralmente usados em tais contratos para fins de alocação de riscos. Finalmente, a tese discute a aplicação de modelos da Análise Econômica do Direito, como a Teoria dos Contratos Incompletos, como subsídio para a valoração de aplicabilidade das normas sobre onerosidade excessiva aos contratos de engineering e análise dos efeitos de sua aplicação sobre esses contratos. / The aim of this work is to analyze to what extent changed circumstances that are contractually relevant, so as to characterize the legal figure of excessive onerosity [a situation of material burden for complying with a given obligation on one of the contracting parties] pursuant to the Brazilian Civil Code, bring about effects on the payoffs the contracting parties derive from so-called engineering agreements, understood as agreements for the development of large-scale industrial and infrastructure projects. The work traces back the historical and social context of such agreements and describes their main distinguishing features, especially the complexity and risk elements of their underlying economic transactions. The work also describes such agreements as socially codified agreements, subject to the discipline of a legally codified figure called empreitada [or contractor agreement]. The work also discusses how court precedents deal with the legal figure of excessive onerosity and describes the deal structures normally used in such agreements for the purposes of risk allocation. Finally, the work discusses the application of Law & Economics models, such as the Theory of Incomplete Contracts, as a tool for evaluating the applicability of rules governing the legal figure of excessive onerosity to engineering agreements and analyzing their respective effects.

<p>This thesis presents the implementation of a knowledge base system for rough sets [Paw92]within the logic programming framework. The combination of rough set theory with logic programming is a novel approach. The presented implementation serves as a prototype system for the ideas presented in [VDM03a, VDM03b]. The system is available at "http://www.ida.liu.se/rkbs". </p><p>The presented language for describing knowledge in the rough knowledge base caters for implicit definition of rough sets by combining different regions (e.g. upper approximation, lower approximation, boundary) of other defined rough sets. The rough knowledge base system also provides methods for querying the knowledge base and methods for computing quantitative measures. </p><p>We test the implemented system on a medium sized application example to illustrate the usefulness of the system and the incorporated language. We also provide performance measurements of the system.</p>

<p>Biomass is considered to be a sustainable energy source with significant potentials for replacing electricity and fossil fuels, not at least in the residential sector. However, present wood combustion is a major source of ambient concentrations of hydrocarbons (e.g. VOC and PAH) and particulate matter (PM) and exposure to these pollutants have been associated with adverse health effects. Increased focus on combustion related particulate emissions has been seen concerning the formation, characteristics and implications to human health. Upgraded biomass fuels (e.g. pellets) provide possibilities of more controlled and optimized combustion with less emission of products of incomplete combustion (PIC´s). For air quality and health impact assessments, regulatory standards and evaluations concerning residential biomass combustion, there is still a need for detailed emission characterization and quantification when using different fuels and combustion techniques.</p><p>This thesis summarizes the results from seven different papers. The overall objective was to carefully and systematically study the emissions from residential biomass combustion with respect to: i) experimental characterization and quantification, ii) influences of fuel, appliance and operational variables and iii) aspects of ash and trace element transformations and aerosol formation. Special concern in the work was on sampling, quantification and characterization of particulate emissions using different appliances, fuels and operating procedures.</p><p>An initial review of health effects showed epidemiological evidence of potential adverse effect from wood smoke exposure. A robust whole flow dilution sampling set-up for residential biomass appliances was then designed, constructed and evaluated, and subsequently used in the following emission studies. Extensive quantifications and characterizations of particulate and gases emissions were performed for residential wood and pellet appliances. Emission factor ranges for different stoves were determined with variations in fuel, appliance and operational properties. The emissions of PIC´s as well as PM_tot from wood combustion were in general shown to be considerably higher compared to pellets combustion. PAH_tot emissions were determined in the range of 1300-220000 µg/MJ for wood stoves and 2-300 µg/MJ for pellet stoves with phenantrene, fluoranthene and pyrene generally found as major PAH´s. The PM emissions from present residential appliances was found to consist of significant but varying fractions of PIC´s, with emissions in the range 35-350 mg/MJ for wood stoves compared to 15-45 mg/MJ for pellet stoves. Accordingly, the use of up-graded biomass fuels, combusted under continuous and controlled conditions give advantageous combustion conditions compared to traditional batch wise firing of wood logs. The importance of high temperature in well mixed isothermal conditions was further illustrated during pellets combustion to obtain complete combustion with almost a total depletion of PIC´s. Fine (100-300 nm) particles dominated in all studied cases the PM with 80-95% as PM1. Beside varying fractions of carbonaceous material, the fine PM consisted of inorganic volatilized ash elements, mainly found as KCl, K₃Na(SO₄)₂ and K₂SO₄ with mass concentrations at 15-20 mg/MJ during complete combustion. The importance of the behavior of alkali elements for the ash transformation and fine particle formation processes was further shown, since the stability, distributions and compositions also directly control the degree of volatilization. In addition to the alkali metals, zinc was found as an important element in fine particles from residential biomass combustion. Finally, the behaviour of volatile trace elements, e.g. Zn and Cd, during pellets production and combustion were studied. A significant enrichment in the pellet fuel during the drying process was determined. The magnitude and importance of the enrichment was, however, relative small and some alternative measures for prevention were also suggested.</p>

Biomass is considered to be a sustainable energy source with significant potentials for replacing electricity and fossil fuels, not at least in the residential sector. However, present wood combustion is a major source of ambient concentrations of hydrocarbons (e.g. VOC and PAH) and particulate matter (PM) and exposure to these pollutants have been associated with adverse health effects. Increased focus on combustion related particulate emissions has been seen concerning the formation, characteristics and implications to human health. Upgraded biomass fuels (e.g. pellets) provide possibilities of more controlled and optimized combustion with less emission of products of incomplete combustion (PIC´s). For air quality and health impact assessments, regulatory standards and evaluations concerning residential biomass combustion, there is still a need for detailed emission characterization and quantification when using different fuels and combustion techniques. This thesis summarizes the results from seven different papers. The overall objective was to carefully and systematically study the emissions from residential biomass combustion with respect to: i) experimental characterization and quantification, ii) influences of fuel, appliance and operational variables and iii) aspects of ash and trace element transformations and aerosol formation. Special concern in the work was on sampling, quantification and characterization of particulate emissions using different appliances, fuels and operating procedures. An initial review of health effects showed epidemiological evidence of potential adverse effect from wood smoke exposure. A robust whole flow dilution sampling set-up for residential biomass appliances was then designed, constructed and evaluated, and subsequently used in the following emission studies. Extensive quantifications and characterizations of particulate and gases emissions were performed for residential wood and pellet appliances. Emission factor ranges for different stoves were determined with variations in fuel, appliance and operational properties. The emissions of PIC´s as well as PMtot from wood combustion were in general shown to be considerably higher compared to pellets combustion. PAHtot emissions were determined in the range of 1300-220000 µg/MJ for wood stoves and 2-300 µg/MJ for pellet stoves with phenantrene, fluoranthene and pyrene generally found as major PAH´s. The PM emissions from present residential appliances was found to consist of significant but varying fractions of PIC´s, with emissions in the range 35-350 mg/MJ for wood stoves compared to 15-45 mg/MJ for pellet stoves. Accordingly, the use of up-graded biomass fuels, combusted under continuous and controlled conditions give advantageous combustion conditions compared to traditional batch wise firing of wood logs. The importance of high temperature in well mixed isothermal conditions was further illustrated during pellets combustion to obtain complete combustion with almost a total depletion of PIC´s. Fine (100-300 nm) particles dominated in all studied cases the PM with 80-95% as PM1. Beside varying fractions of carbonaceous material, the fine PM consisted of inorganic volatilized ash elements, mainly found as KCl, K3Na(SO4)2 and K2SO4 with mass concentrations at 15-20 mg/MJ during complete combustion. The importance of the behavior of alkali elements for the ash transformation and fine particle formation processes was further shown, since the stability, distributions and compositions also directly control the degree of volatilization. In addition to the alkali metals, zinc was found as an important element in fine particles from residential biomass combustion. Finally, the behaviour of volatile trace elements, e.g. Zn and Cd, during pellets production and combustion were studied. A significant enrichment in the pellet fuel during the drying process was determined. The magnitude and importance of the enrichment was, however, relative small and some alternative measures for prevention were also suggested.