CLP Projection for Constraint Handling Rules

This paper introduces and studies the notion of CLP projection for Constraint Handling Rules (CHR). The CLP projection consists of a naive translation of CHR programs into Constraint Logic Programs (CLP). We show that the CLP projection provides a safe operational and declarative approximation for CHR programs. We demónstrate moreover that a confluent CHR program has a least model, which is precisely equal to the least model of its CLP projection (closing henee a ten year-old conjecture by Abdenader et al.). Finally, we illustrate how the notion of CLP projection can be used in practice to apply CLP analyzers to CHR. In particular, we show results from applying AProVE to prove termination, and CiaoPP to infer both complexity upper bounds and types for CHR programs.

A flexible (C)LP-based approach to the analysis of object-oriented programs

Static analyses of object-oriented programs usually rely on intermediate representations that respect the original semantics while having a more uniform and basic syntax. Most of the work involving object-oriented languages and abstract interpretation usually omits the description of that language or just refers to the Control Flow Graph(CFG) it represents. However, this lack of formalization on one hand results in an absence of assurances regarding the correctness of the transformation and on the other it typically strongly couples the analysis to the source language. In this work we present a framework for analysis of object-oriented languages in which in a first phase we transform the input program into a representation based on Horn clauses. This allows on one hand proving the transformation correct attending to a simple condition and on the other being able to apply an existing analyzer for (constraint) logic programming to automatically derive a safe approximation of the semantics of the original program. The approach is flexible in the sense that the first phase decouples the analyzer from most languagedependent features, and correct because the set of Horn clauses returned by the transformation phase safely approximates the standard semantics of the input program. The resulting analysis is also reasonably scalable due to the use of mature, modular (C)LP-based analyzers. The overall approach allows us to report results for medium-sized programs.

Annotation algorithms for unrestricted independent and-parallelism in logic programs

We present two new algorithms which perform automatic parallelization via source-to-source transformations. The objective is to exploit goal-level, unrestricted independent and-parallelism. The proposed algorithms use as targets new parallel execution primitives which are simpler and more flexible than the well-known &/2 parallel operator. This makes it possible to genérate better parallel expressions by exposing more potential parallelism among the literals of a clause than is possible with &/2. The difference between the two algorithms stems from whether the order of the solutions obtained is preserved or not. We also report on a preliminary evaluation of an implementation of our approach. We compare the performance obtained to that of previous annotation algorithms and show that relevant improvements can be obtained.

A simple approach to distributed objects in prolog

We present the design of a distributed object system for Prolog, based on adding remote execution and distribution capabilities to a previously existing object system. Remote execution brings RPC into a Prolog system, and its semantics is easy to express in terms of well-known Prolog builtins. The final distributed object design features state mobility and user-transparent network behavior. We sketch an implementation which provides distributed garbage collection and some degree of tolerance to network failures. We provide a preliminary study of the overhead of the communication mechanism for some test cases.

On-line measurement of soil properties without direct spectral response in near infrared spectral range

So far, the majority of reports on on-line measurement considered soil properties with direct spectral responses in near infrared spectroscopy (NIRS). This work reports on the results of on-line measurement of soil properties with indirect spectral responses, e.g. pH, cation exchange capacity (CEC), exchangeable calcium (Caex) and exchangeable magnesium (Mgex) in one field in Bedfordshire in the UK. The on-line sensor consisted of a subsoiler coupled with an AgroSpec mobile, fibre type, visible and near infrared (vis–NIR) spectrophotometer (tec5 Technology for Spectroscopy, Germany), with a measurement range 305–2200 nm to acquire soil spectra in diffuse reflectance mode. General calibration models for the studied soil properties were developed with a partial least squares regression (PLSR) with one-leave-out cross validation, using spectra measured under non-mobile laboratory conditions of 160 soil samples collected from different fields in four farms in Europe, namely, Czech Republic, Denmark, Netherland and UK. A group of 25 samples independent from the calibration set was used as independent validation set. Higher accuracy was obtained for laboratory scanning as compared to on-line scanning of the 25 independent samples. The prediction accuracy for the laboratory and on-line measurements was classified as excellent/very good for pH (RPD = 2.69 and 2.14 and r2 = 0.86 and 0.78, respectively), and moderately good for CEC (RPD = 1.77 and 1.61 and r2 = 0.68 and 0.62, respectively) and Mgex (RPD = 1.72 and 1.49 and r2 = 0.66 and 0.67, respectively). For Caex, very good accuracy was calculated for laboratory method (RPD = 2.19 and r2 = 0.86), as compared to the poor accuracy reported for the on-line method (RPD = 1.30 and r2 = 0.61). The ability of collecting large number of data points per field area (about 12,800 point per 21 ha) and the simultaneous analysis of several soil properties without direct spectral response in the NIR range at relatively high operational speed and appreciable accuracy, encourage the recommendation of the on-line measurement system for site specific fertilisation.

Farm nitrogen balances in six European landscapes as an indicator for nitrogen losses and basis for improved management.

Improved management of nitrogen (N) in agriculture is necessary to achieve a sustainable balance between the production of food and other biomass, and the unwanted effects of N on water pollution, greenhouse gas emissions, biodiversity deterioration and human health. To analyse farm N-losses and the complex interactions within farming systems, efficient methods for identifying emissions hotspots and evaluating mitigation measures are therefore needed. The present paper aims to fill this gap at the farm and landscape scales. Six agricultural landscapes in Poland (PL), the Netherlands (NL), France (FR), Italy (IT), Scotland (UK) and Denmark (DK) were studied, and a common method was developed for undertaking farm inventories and the derivation of farm N balances, N surpluses and for evaluating uncertainty for the 222 farms and 11 440 ha of farmland included in the study. In all landscapes, a large variation in the farm N surplus was found, and thereby a large potential for reductions. The highest average N surpluses were found in the most livestock-intensive landscapes of IT, FR, and NL; on average 202 ± 28, 179 ± 63 and 178 ± 20 kg N ha−1 yr−1, respectively. All landscapes showed hotspots, especially from livestock farms, including a special UK case with large-scale landless poultry farming. Overall, the average N surplus from the land-based UK farms dominated by extensive sheep and cattle grazing was only 31 ± 10 kg N ha−1 yr−1, but was similar to the N surplus of PL and DK (122 ± 20 and 146 ± 55 kg N ha−1 yr−1, respectively) when landless poultry farming was included. We found farm N balances to be a useful indicator for N losses and the potential for improving N management. Significant correlations to N surplus were found, both with ammonia air concentrations and nitrate concentrations in soils and groundwater, measured during the period of N management data collection in the landscapes from 2007–2009. This indicates that farm N surpluses may be used as an independent dataset for validation of measured and modelled N emissions in agricultural landscapes. No significant correlation was found with N measured in surface waters, probably because of spatial and temporal variations in groundwater buffering and biogeochemical reactions affecting N flows from farm to surface waters. A case study of the development in N surplus from the landscape in DK from 1998–2008 showed a 22% reduction related to measures targeted at N emissions from livestock farms. Based on the large differences in N surplus between average N management farms and the most modern and N-efficient farms, it was concluded that additional N-surplus reductions of 25–50%, as compared to the present level, were realistic in all landscapes. The implemented N-surplus method was thus effective for comparing and synthesizing results on farm N emissions and the potentials of mitigation options. It is recommended for use in combination with other methods for the assessment of landscape N emissions and farm N efficiency, including more detailed N source and N sink hotspot mapping, measurements and modelling.

Utzon and the sun path as an organizing element of life in a house

The present text intends to analyze the hypothesis stating that the path of the sun can be an organizing element for how you live in the houses designed by Jørn Utzon. To do so, I have selected twenty houses and building complexes designed by him between the years 1950-94, in Denmark, Sweden, The United Kingdom and Spain. In these projects I will look for elements which are repeated and their possible meaning. The aim is to reach practical conclusions that could help us decide how to orientate a house.

Remote sensing of LAI, chlorophyll and leaf nitrogen pools of crop- and grasslands in five European landscapes.

Leaf nitrogen and leaf surface area influence the exchange of gases between terrestrial ecosystems and the atmosphere, and play a significant role in the global cycles of carbon, nitrogen and water. The purpose of this study is to use field-based and satellite remote-sensing-based methods to assess leaf nitrogen pools in five diverse European agricultural landscapes located in Denmark, Scotland (United Kingdom), Poland, the Netherlands and Italy. REGFLEC (REGularized canopy reFLECtance) is an advanced image-based inverse canopy radiative transfer modelling system which has shown proficiency for regional mapping of leaf area index (LAI) and leaf chlorophyll (CHLl) using remote sensing data. In this study, high spatial resolution (10–20 m) remote sensing images acquired from the multispectral sensors aboard the SPOT (Satellite For Observation of Earth) satellites were used to assess the capability of REGFLEC for mapping spatial variations in LAI, CHLland the relation to leaf nitrogen (Nl) data in five diverse European agricultural landscapes. REGFLEC is based on physical laws and includes an automatic model parameterization scheme which makes the tool independent of field data for model calibration. In this study, REGFLEC performance was evaluated using LAI measurements and non-destructive measurements (using a SPAD meter) of leaf-scale CHLl and Nl concentrations in 93 fields representing crop- and grasslands of the five landscapes. Furthermore, empirical relationships between field measurements (LAI, CHLl and Nl and five spectral vegetation indices (the Normalized Difference Vegetation Index, the Simple Ratio, the Enhanced Vegetation Index-2, the Green Normalized Difference Vegetation Index, and the green chlorophyll index) were used to assess field data coherence and to serve as a comparison basis for assessing REGFLEC model performance. The field measurements showed strong vertical CHLl gradient profiles in 26% of fields which affected REGFLEC performance as well as the relationships between spectral vegetation indices (SVIs) and field measurements. When the range of surface types increased, the REGFLEC results were in better agreement with field data than the empirical SVI regression models. Selecting only homogeneous canopies with uniform CHLl distributions as reference data for evaluation, REGFLEC was able to explain 69% of LAI observations (rmse = 0.76), 46% of measured canopy chlorophyll contents (rmse = 719 mg m−2) and 51% of measured canopy nitrogen contents (rmse = 2.7 g m−2). Better results were obtained for individual landscapes, except for Italy, where REGFLEC performed poorly due to a lack of dense vegetation canopies at the time of satellite recording. Presence of vegetation is needed to parameterize the REGFLEC model. Combining REGFLEC- and SVI-based model results to minimize errors for a "snap-shot" assessment of total leaf nitrogen pools in the five landscapes, results varied from 0.6 to 4.0 t km−2. Differences in leaf nitrogen pools between landscapes are attributed to seasonal variations, extents of agricultural area, species variations, and spatial variations in nutrient availability. In order to facilitate a substantial assessment of variations in Nl pools and their relation to landscape based nitrogen and carbon cycling processes, time series of satellite data are needed. The upcoming Sentinel-2 satellite mission will provide new multiple narrowband data opportunities at high spatio-temporal resolution which are expected to further improve remote sensing capabilities for mapping LAI, CHLl and Nl.

Nitrous oxide emissions from European agriculture - an analysis of variability and drivers of emissions from field experiments

Nitrous oxide emissions from a network of agricultural experiments in Europe were used to explore the relative importance of site and management controls of emissions. At each site, a selection of management interventions were compared within replicated experimental designs in plot-based experiments. Arable experiments were conducted at Beano in Italy, El Encin in Spain, Foulum in Denmark, Logarden in Sweden, Maulde in Belgium CE1, Paulinenaue in Germany, and Tulloch in the UK. Grassland experiments were conducted at Crichton, Nafferton and Peaknaze in the UK, Godollo in Hungary, Rzecin in Poland, Zarnekow in Germany and Theix in France. Nitrous oxide emissions were measured at each site over a period of at least two years using static chambers. Emissions varied widely between sites and as a result of manipulation treatments. Average site emissions (throughout the study period) varied between 0.04 and 21.21 kg N2O-N ha−1yr−1, with the largest fluxes and variability associated with the grassland sites. Total nitrogen addition was found to be the single most important deter- minant of emissions, accounting for 15 % of the variance (using linear regression) in the data from the arable sites (p<0.0001), and 77 % in the grassland sites. The annual emissions from arable sites were significantly greater than those that would be predicted by IPCC default emission fac- tors. Variability of N2O emissions within sites that occurred as a result of manipulation treatments was greater than that resulting from site-to-site and year-to-year variation, highlighting the importance of management interventions in contributing to greenhouse gas mitigation

Improving the low-wind performance of the AERMOD atmospheric dispersion model for predicting short-range impacts of livestock ammonia emissions.

Short-range impacts to sensitive ecosystems as a result of ammonia emitted by livestock farms are often assessed using atmospheric dispersion modelling systems such as AERMOD. These assessments evaluate mean annual atmospheric concentrations of ammonia and nitrogen deposition rates at the ecosystem location for comparison with ecosystem damage thresholds. However, predictions of mean annual atmospheric concentrations can be dominated by periods of stable night-time conditions, which can contribute significantly to mean concentrations. AERMOD has been demonstrated to overestimate concentrations in certain stable low-wind conditions and so the model could potentially overestimate the short-range impacts of livestock ammonia emissions. This paper tests several modifications to the parameterisation of AERMOD (v12345) that aim to improve model predictions in low-wind conditions. The modifications are first described and then are applied to three pig farm case studies in the USA, Denmark and Spain to assess whether the modifications improve long-term mean ammonia concentration predictions through improved model performance. For these three case studies, most of the modifications tested improved model performance as a result of reducing the long-term mean concentration predictions, with the largest effect for low- or ground-level sources (e.g. slurry lagoons or naturally ventilated housing).

New steps in the development of the second generation TEC GESMEY

The paper shows the results of the new steps that have been done in the development of the tidal energy converter GESMEY. These are the design, construction and trials into the sea of a 1/10 scale prototype and also the construction with the same scale of the buoy BOSCEM, that anchors the device and lets it in the correct work position and depth, along the two directions of the flow that the daily tidal cycle have. Inside the paper is described the objectives and the methodology of the experimental trials that were ca rry out the last summer with the scale prototype. GESMEY is a new type of tidal energy converter (TEC) that has the capability to exploit currents in waters over forty meters by itself and it gets only using its internal ballast system the necessary equilibrium between hy drostatics and hydrodynamics forces to make the emersion and the immersion procedures without any other help. Finally the paper shows the description of the results obtained over the performance of the devices along the immersion, emersion and floating transport manoeuvres and afterwards the results, that were obtained along the generation power tests that were carried out, are shown.

Electricity price forecasting accounting for renewable energies: optimal combined forecasts

Electricity price forecasting is an interesting problem for all the agents involved in electricity market operation. For instance, every profit maximisation strategy is based on the computation of accurate one-day-ahead forecasts, which is why electricity price forecasting has been a growing field of research in recent years. In addition, the increasing concern about environmental issues has led to a high penetration of renewable energies, particularly wind. In some European countries such as Spain, Germany and Denmark, renewable energy is having a deep impact on the local power markets. In this paper, we propose an optimal model from the perspective of forecasting accuracy, and it consists of a combination of several univariate and multivariate time series methods that account for the amount of energy produced with clean energies, particularly wind and hydro, which are the most relevant renewable energy sources in the Iberian Market. This market is used to illustrate the proposed methodology, as it is one of those markets in which wind power production is more relevant in terms of its percentage of the total demand, but of course our method can be applied to any other liberalised power market. As far as our contribution is concerned, first, the methodology proposed by García-Martos et al(2007 and 2012) is generalised twofold: we allow the incorporation of wind power production and hydro reservoirs, and we do not impose the restriction of using the same model for 24h. A computational experiment and a Design of Experiments (DOE) are performed for this purpose. Then, for those hours in which there are two or more models without statistically significant differences in terms of their forecasting accuracy, a combination of forecasts is proposed by weighting the best models(according to the DOE) and minimising the Mean Absolute Percentage Error (MAPE). The MAPE is the most popular accuracy metric for comparing electricity price forecasting models. We construct the combi nation of forecasts by solving several nonlinear optimisation problems that allow computation of the optimal weights for building the combination of forecasts. The results are obtained by a large computational experiment that entails calculating out-of-sample forecasts for every hour in every day in the period from January 2007 to Decem ber 2009. In addition, to reinforce the value of our methodology, we compare our results with those that appear in recent published works in the field. This comparison shows the superiority of our methodology in terms of forecasting accuracy.

A dynamic factor model for mid-term forecasting of wind power generation

The main objective of this paper is the development and application of multivariate time series models for forecasting aggregated wind power production in a country or region. Nowadays, in Spain, Denmark or Germany there is an increasing penetration of this kind of renewable energy, somehow to reduce energy dependence on the exterior, but always linked with the increaseand uncertainty affecting the prices of fossil fuels. The disposal of accurate predictions of wind power generation is a crucial task both for the System Operator as well as for all the agents of the Market. However, the vast majority of works rarely onsider forecasting horizons longer than 48 hours, although they are of interest for the system planning and operation. In this paper we use Dynamic Factor Analysis, adapting and modifying it conveniently, to reach our aim: the computation of accurate forecasts for the aggregated wind power production in a country for a forecasting horizon as long as possible, particularly up to 60 days (2 months). We illustrate this methodology and the results obtained for real data in the leading country in wind power production: Denmark

Measurements of different acoustic conditions in small rectangular rooms

Impulse response measurements are carried out in laboratory facilities at Ecophon, Sweden, simulating a typical classroom with varying suspended ceilings and furniture arrangements. The aim of these measurements is to build a reliable database of acoustical parameters in order to have enough data to validate the new acoustical simulation tool which is under development at Danmarks Tekniske Universitet, Denmark. The different classroom configurations are also simulated using ODEON Room Acoustics software and are compared with the measurements. The resulting information is essential for the development of the acoustical simulation tool because it will enable the elimination of prediction errors, especially those below the Schroeder frequency. The surface impedance of the materials used during the experiments is measured in a Kundt’s tube at DTU, in order to characterize them as accurately as possible at the time of incorporation into the model. A brief study about porous materials frequently used in classrooms is presented. Wide diferences are found between methods of measuring absorption coefficients and local or extended assumptions. RESUMEN. Mediciones de Respuesta al Impulso son llevadas a cabo en las instalaciones con que cuenta la empresa Ecophon en su sede central de Hyllinge, Suecia. En una de sus salas, se recrean diferentes configuraciones típicas de aula, variando la altura y composición de los techos, colocando paneles absorbentes de pared e incluyendo diferentes elementos mobiliario como pupitres y sillas. Tres diferentes materiales absorbentes porosos de 15, 20 y 50 mm de espesor, son utilizados como techos suspendidos así como uno de 40 mm es utilizado en forma de paneles. Todas las medidas son realizadas de acuerdo al estándar ISO 3382, utilizando 12 combinaciones de fuente sonora y micrófono para cada configuración, así como respetando las distancias entre ellos establecidas en la norma. El objetivo de toda esta serie de medidas es crear una base de datos de parámetros acústicos tales como tiempo de reverberación, índice de claridad o índice de inteligibilidad medidos bajo diferentes configuraciones con el objeto de que éstos sirvan de referencia para la validación de una nueva herramienta de simulación acústica llamada PARISM que está siendo desarrollada en este momento en la Danmarks Tekniske Universitet de Copenhague. Esta herramienta tendrá en cuenta la fase, tanto en propagación como en reflexión, así como el comportamiento angulodependiente de los materiales y la difusión producida por las superficies. Las diferentes configuraciones de aula recreadas en Hyllinge, son simuladas también utilizando el software de simulación acústica ODEON con el fin de establecer comparaciones entre medidas y simulaciones para discutir la validez de estas ultimas. La información resultante es esencial para el desarrollo de la nueva herramienta de simulación, especialmente los resultados por debajo de la frecuencia de corte de Schroeder, donde ODEON no produce predicciones precisas debido a que no tiene en cuenta la fase ni en propagación ni en reflexión. La impedancia de superficie de los materiales utilizados en los experimentos, todos ellos fabricados por la propia empresa Ecophon, es medida utilizando un tubo de Kundt. De este modo, los coeficientes de absorción de incidencia aleatoria son calculados e incorporados a las simulaciones. Además, estos coeficientes también son estimados mediante el modelo empírico de Miki, con el fin de ser comparados con los obtenidos mediante otros métodos. Un breve estudio comparativo entre coeficientes de absorción obtenidos por diversos métodos y el efecto producido por los materiales absorbentes sobre los tiempos de reverberación es realizado. Grandes diferencias son encontradas, especialmente entre los métodos de tubo de impedancia y cámara reverberante. La elección de reacción local o extendida a la hora de estimar los coeficientes también produce grandes diferencias entre los resultados. Pese a que la opción de absorción angular es activada en todas las simulaciones realizadas con ODEON para todos los materiales, los resultados son mucho más imprecisos de lo esperado a la hora de compararlos con los valores extraidos de las medidas de Respuesta al Impulso. En salas como las recreadas, donde una superficie es mucho más absorbente que las demás, las ondas sonoras tienden a incidir en la superficie altamente absorbente desde ángulos de incidencia muy pequeños. En este rango de ángulos de incidencia, las absorciones que presentan los materiales absorbentes porosos estudiados son muy pequeñas, pese a que sus valores de coeficientes de absorción de incidencia aleatoria son altos. Dado que como descriptor de las superficies en ODEON se utiliza el coeficiente de absorción de incidencia aleatoria, los tiempos de reverberación son siempre subestimados en las simulaciones, incluso con la opción de absorción angular activada. Esto es debido a que el algoritmo que ejecuta esta opción, solo tiene en cuenta el tamaño y posición de las superficies, mientras que el comportamiento angulodependiente es diferente para cada material. Es importante destacar, que cuando la opción es activada, los tiempos simulados se asemejan más a los medidos, por lo tanto esta característica sí produce ciertas mejoras pese a no modelar la angulodependencia perfectamente. Por otra parte, ODEON tampoco tiene en cuenta el fenómeno de difracción, ni acepta longitudes de superficie menores de una longitud de onda a frecuencias medias (30 cm) por lo que en las configuraciones que incluyen absorbentes de pared, los cuales presentan un grosor de 4 cm que no puede ser modelado, los tiempos de reverberación son siempre sobreestimados. Para evitar esta sobreestimación, diferentes métodos de correción son analizados. Todas estas deficiencias encontradas en el software ODEON, resaltan la necesidad de desarrollar cuanto antes la herramienta de simulación acústica PARISM, la cual será capaz de predecir el comportamiento del campo sonoro de manera precisa en este tipo de salas, sin incrementar excesivamente el tiempo de cálculo. En cuanto a los parámetros extraidos de las mediciones de Respuesta al Impulso, bajo ninguna de las configuraciones recreadas los tiempos de reverberación cumplen con las condiciones establecidas por la regulación danesa en materia de edificación. Es importante destacar que los experimentos son llevados a cabo en un edificio construido para uso industrial, en el que, pese a contar con un buen aislamiento acústico, los niveles de ruido pueden ser superiores a los existentes dentro del edificio donde finalmente se ubique el aula. Además, aunque algunos elementos de mobiliario como pupitres y sillas son incluidos, en una configuración real de aula normalmente aparecerían algunos otros como taquillas, que no solo presentarían una mayor absorción, sino que también dispersarían las ondas incidentes produciendo un mejor funcionamiento del techo absorbente. Esto es debido a que las ondas incidirían en el techo desde una mayor variedad de ángulos, y no solo desde ángulos cercanos a la dirección paralela al techo, para los cuales los materiales presentan absorciones muy bajas o casi nulas. En relación a los otros parámetros como índice de claridad o índice de inteligibilidad extraidos de las medidas, no se han podido extraer conclusiones válidas dada la falta de regulación existente. Sin embargo, el efecto que produce sobre ellos la inclusión de techos, paneles de pared y mobiliario sí es analizada, concluyendo que, como era de esperar, los mejores resultados son obtenidos cuando todos los elementos están presentes en la sala en el mismo momento.

Proyecto y lugar en la arquitectura doméstica de Jørn Utzon

En medio de un bosque danés, de altos arboles que se mueven al fuerte viento nórdico bajo el débil sol de las latitudes altas, y cargado de unos cuantos tableros de madera que consiguió de una exposición ya terminada, realizó Utzon su maqueta a escala real de su primera casa familiar en Hellebæk (1950-52) a la edad de treinta y dos años. De la misma manera que el pintor William Turner necesitó atarse a lo alto de un mástil de un barco, para vivir en directo una de las muchas tormentas que tantas y tantas veces había pintado en sus cuadros, el joven Utzon consideró indispensable introducirse dentro de la maqueta de su propia casa antes de construirla, para valorar in situ las potencialidades de aquel proyecto en relación al lugar. La obra de Jørn Utzon (1918-2008) es una arquitectura expectante y atenta del lugar donde se ubica. Jørn Utzon es un arquitecto de origen nórdico, que descubre su verdadera idiosincrasia en la cultura mediterránea, cultura en la que reside durante casi la mitad de toda su vida. Esta tesis se ha centrado en analizar exhaustivamente la relación de su arquitectura doméstica con el lugar donde se halla. Aspecto tan citado en la bibliografía existente de su obra, aunque nunca desarrollado de manera exhaustiva. El objetivo del análisis ha sido intentar encontrar invariantes o patrones que pudieran subyacer en su obra residencial en relación a ese tema. Para dicho análisis, se ha tomado una muestra suficientemente amplia de veinte viviendas o conjuntos residenciales (entre ellas sus cuatro viviendas familiares proyectadas), repartidas por cinco países (Suecia, Dinamarca, Reino Unido, España y Nueva Gales del Sur), que constituyen la tercera parte de su obra doméstica y la mitad de su obra construida residencial, así como las citas explícitas del autor sobre este tema en su obra escrita, y los planos o croquis de su obra gráfica. Como metodología de trabajo se ha recurrido a la consulta de las fuentes primarias: viajando y conociendo in-situ las casas seleccionadas en Dinamarca, Suecia, España y Australia; viviendo un mes en una de las casas (Can Lis) gracias a una beca del Gobierno danés y la Utzon Foundation; y realizando entrevistas a las personas que más cerca estuvieron del arquitecto en su entorno familiar y profesional. Asimismo, también se ha publicado parte de su contenido en medios internacionales: 4th International Utzon Symposium (7/3/2013-9/3/2014) y la página web oficial de Can Lis dependiente de la Utzon Foundation (www.canlis.dk). Las doce invariantes encontradas en relación al proyecto y lugar en los proyectos seleccionados, han sido agrupadas en torno a tres grandes elementos sobre los que Utzon constantemente reflexiona en sus escritos propios: horizonte, sol y material autóctono. Elementos que tienen su origen en la influencia que la navegación tuvo en su vida, y en su carácter espiritual y austero en lo material. La historia de Utzon es la de un nórdico, de vocación navegante, que encuentra su lugar en la cultura mediterránea, rodeado entre piedras de Marés, mientras divisa en silencio el horizonte marino en el umbral entre luz y sombra. ABSTRACT In the middle of a Danish forest, with high trees which move with the Nordic wind under the weak sun of high latitudes, and with the help of some wooden canvases acquired from an already completed exhibition, Jørn Utzon built a real-scale model of his first family house in Hellebæk (1950-52) at the age of thirty-two. In the same way that William Turner needed to be tied up on the top of a boat flagpole in order to have a first-hand experience of one of the many storms that he had depicted in his paintings so many times before, the young Utzon thought it was crucial to go into the model of his own house before building it, to evaluate in situ the potential of that project in relation to the place. Utzon’s work is architecture interested in and attentive of the place where it is situated. Jørn Utzon (1918-2008) is an architect of Nordic origin who discovered his own idiosyncrasy in the Mediterranean culture, in which he resided for half of his live. This thesis has focused on an exhaustive analysis of the relation between his domestic architecture and the place where it is located. This issue has been often cited in the existing bibliography, although it has never been exhaustively developed. The analysis objective has been to attempt to find invariants and patterns that could exist in his domestic work in relation to this subject. For this analysis, a sufficiently large sample has been selected: twenty houses or housing complexes (among others his own four family houses), distributed in five countries (Sweden, Denmark, United Kingdom, Spain and New South Wales), which constitute the third part of his domestic work, and half of his residential constructed projects, as well as Utzon’s written texts about this theme, and the drawings and sketches of his graphic work. The methodology used was based on consultation of primary sources: travelling and examining in situ the selected houses in Denmark, Sweden, Spain and Australia; living for a month in one of the houses (Can Lis) thanks to a research grant from the Danish Government and the Utzon Foundation; and interviewing people from his closest family and professional circles. Furthermore, part of the thesis has been published in international media: 4th International Utzon Symposium (7/3/2013-9/3/2014) and on the official web site of Can Lis, an Utzon Foundation subsidiary(www.canlis.dk). The twelve invariants discovered in relation to the project and the location of the selected projects, have been grouped according to three elements which Utzon continuously reflects upon in his own writings: the horizon, the sun and autochthonous material. Elements which originate from the influence that navigation had in his life, and from his spiritual and austere character. The story of Utzon is that of a Nordic person, with the vocation of a navigator, who found his place in the Mediterranean culture, surrounded with Marés stones, while silently making out the sea horizon on the threshold between light and shadow.