916 resultados para Long memory stochastic process


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1.1 AbstractThe treatment of memory disorders and cognitive deficits in various forms of mental retardation may greatly benefit from a better understanding of the molecular and cellular mechanisms of memory formation. Different forms of memory have distinct molecular requirements.Short-term memory (STM) is thought to be mediated by covalent modifications of existing synaptic molecules, such as phosphorylation or dephosphorylation of enzymes, receptors or ion channels. In contrast, long-term memoiy (LTM) is thought to be mediated by growth of new synapses and restructuring of existing synapses. There is extensive evidence that changes in gene expression and de novo protein synthesis are key processes for LTM formation. In this context, the transcription factor CREB (cAMP-response element-binding protein) was shown to be crucial. Activation of CREB requires phosphorylation of a serine residue (Ser-133), and the subsequent recruitment of a coactivator called CREB-binding protein (CBP). Moreover, we have recently shown that another coactivator called CREB Regulated Transcription Coactivator 1 (CRTC1) functions as a calcium- and cAMP-sensitive coincidence detector in neurons, and is involved in hippocampal long-term synaptic plasticity. Given the importance of cAMP and calcium signaling for plasticity-related gene expression in neurons and in astrocytes, we sought to determine the respective involvement of the CREB coactivators CBP and CRTC1 in CREB-mediated transcription.We developed various strategies to selectively interfere with these CREB coactivators in mouse primary neurons and in astrocytes in vitro. However, despite several pieces of evidence implicating CBP and/or CRTC1 in the regulation of neuronal plasticity genes, we could not clearly determine the respective requirement of these coactivators for the activation of these genes. Nevertheless, we showed that calcineurin activity, which is important for CRTC1 nuclear translocation, is necessary for the expression of some CREB-regulated plasticity genes. We associated this phenomena to physiopathological conditions observed in Down's syndrome. In addition, we demonstrated that in astrocytes, noradrenaline stimulates CREB-target gene expression through β-adrenergic receptor activation, intracellular cAMP pathway activation, and CRTC-induced CREB transactivation.Defining the respective role of CREB and its coactivators CBP and CRTC1 in neuronal and astrocytic cultures in vitro sets the stage for future in vivo studies and for the possible development of new therapeutic strategies to improve the treatment of memoiy and cognitive disorders.1.2 RésuméUne meilleure connaissance des mécanismes moléculaires et cellulaires responsables de la formation de la mémoire pourrait grandement améliorer le traitement des troubles de la mémoire ainsi que des déficits cognitifs observés dans différentes formes de pathologies psychiatriques telles que le retard mental. Les différentes formes de mémoire dépendent de processus moléculaires différents.La mémoire à court terme (STM) semble prendre forme suite à des modifications covalentes de molécules synaptiques préexistantes, telles que la phosphorylation ou la déphosphorylation d'enzymes, de récepteurs ou de canaux ioniques. En revanche, la mémoire à long terme (LTM) semble être due à la génération de nouvelles synapses et à la restructuration des synapses existantes. De nombreuses études ont permis de démontrer que les changements dans l'expression des gènes et la synthèse de protéine de novo sont des processus clés pour la formation de la LTM. Dans ce contexte, le facteur de transcription CREB (cAMP-response element-binding protein) s'est avéré être un élément crucial. L'activation de CREB nécessite la phosphorylation d'un résidu sérine (Ser-133), et le recrutement d'un coactivateur nommé CBP (CREB binding protein). En outre, nous avons récemment démontré qu'un autre coactivateur de CREB nommé CRTC1 (CREB Regulated Transcription Coactivator 1) agit comme un détecteur de coïncidence de l'AMP cyclique (AMPc) et du calcium dans les neurones et qu'il est impliqué dans la formation de la plasticité synaptique à long terme dans l'hippocampe. Etant donné l'importance des voies de l'AMPc et du calcium dans l'expression des gènes impliqués dans la plasticité cérébrale, nous voulions déterminer le rôle respectif des coactivateurs de CREB, CBP et CRTC1.Nous avons développé diverses stratégies pour interférer de façon sélective avec les coactivateurs de CREB dans les neurones et dans les astrocytes chez la souris in vitro. Nos résultats indiquent que CBP et CRTC1 sont tous deux impliqués dans la transcription dépendante de CREB induite par l'AMPc et le calcium dans les neurones. Cependant, malgré plusieurs évidences impliquant CBP et/ou CRTC1 dans l'expression de gènes de plasticité neuronale, nous n'avons pas pu déterminer clairement leur nécessité respective pour l'activation de ces gènes. Toutefois, nous avons montré que l'activité de la calcineurine, dont dépend la translocation nucléaire de CRTC1, est nécessaire à l'expression de certains de ces gènes. Nous avons pu associer ce phénomène à une condition physiopathologique observée dans le syndrome de Down. Nous avons également montré que dans les astrocytes, la noradrénaline stimule l'expression de gènes cibles de CREB par une activation des récepteurs β- adrénergiques, l'activation de la voie de l'AMPc et la transactivation de CREB par les CRTCs.Définir le rôle respectif de CREB et de ses coactivateurs CBP et CRTC1 dans les neurones et dans les astrocytes in vitro permettra d'acquérir les connaissances nécessaires à de futures études in vivo et, à plus long terme d'éventuellement développer des stratégies thérapeutiques pour améliorer les traitements des troubles cognitifs.

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This paper analyzes empirically the volatility of consumption-based stochastic discount factors as a measure of implicit economic fears by studying its relationship with future economic and stock market cycles. Time-varying economic fears seem to be well captured by the volatility of stochastic discount factors. In particular, the volatility of recursive utility-based stochastic discount factor with contemporaneous growth explains between 9 and 34 percent of future changes in industrial production at short and long horizons respectively. They also explain ex-ante uncertainty and risk aversion. However, future stock market cycles are better explained by a similar stochastic discount factor with long-run consumption growth. This specification of the stochastic discount factor presents higher volatility and lower pricing errors than the specification with contemporaneous consumption growth.

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That individuals contribute in social dilemma interactions even when contributing is costly is a well-established observation in the experimental literature. Since a contributor is always strictly worse off than a non-contributor the question is raised if an intrinsic motivation to contribute can survive in an evolutionary setting. Using recent results on deterministic approximation of stochastic evolutionary dynamics we give conditions for equilibria with a positive number of contributors to be selected in the long run.

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Eighty-five of 99 Iowa counties were declared Presidential Disaster Areas for Public Assistance and/orIndividual Assistance as a result of the tornadoes, storms, and floods over the incident period May 25 through August 13, 2008. Response dominated the state’s attention for weeks, with a transition to recovery as the local situations warranted. The widespread damage and severity of the impact on Iowans and their communities required a statewide effort to continue moving forward despite being surrounded by adversity. By all accounts, it will require years for the state to recover from these disasters. With an eye toward the future, recovery is underway across Iowa. As part of the Rebuild Iowa efforts, the Long Term Recovery Planning Task Force was charged with responsibilities somewhat different from other topical Task Force assignments. Rather than assess damage and report on how the state might address immediate needs, the Long Term Recovery Planning Task Force is directed to discuss and discern the best approach to the lengthy recovery process. Certainly, the Governor and Lieutenant Governor expect the task to be difficult; when planning around so many critical issues and overwhelming needs, it is challenging to think to the future, rather than to rise to the current day’s needs.

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RESUME Introduction: Les cellules T mémoires humaines sont classées en trois sous-populations sur la base de l'expression d'un marqueur de surface cellulaire, CD45RA, et du récepteur aux chimiokines, CCR7. Ces sous-populations, nommées cellules mémoires centrales (TcM), mémoires effectrices (TEM) et mémoires effectrices terminales (ITEM), ont des rôles fonctionnels distincts, ainsi que des capacités de prolifération et de régénération différentes. Cependant, la génération de ces différences reste encore mal comprise et on ignore les mécanismes moléculaires impliqués. Matériaux et Méthodes: Des cellules mononucléaires humaines du sang périphérique ont été séparées par cytométrie de flux selon leur expression de CD4, CD8, CD45RA et CCR7 en sous-populations de cellules CD4+ ou CD8+ naïves, TcM, TEM ou ITEM. Dans chacune de ces sous-populations, 14 gènes impliqués dans l'apoptose, la survie ou la capacité proliférative des cellules T ont été quantifiés par RT-PCR en temps réel, relativement à l'expression d'un gène de référence endogène. L'ARN provenant de 450 cellules T a été utilisé par gène et par sous-population. Les gènes analysés (cibles) comprenaient des gènes de survie (BAFF, APRIL, BAFF-R, BCMA, TACI, IL-15Rα, IL-7Rα), des gènes anti-apoptotiques (Bcl-2, BclxL, FLIP), des gènes pro-apoptotiques (Bad, Bax, Fast) et le gène anti-prolifératif, Tob. A l'aide de la méthode comparative delta-delta-CT, le taux d'expression des gènes cibles de chaque sous-population des cellules T mémoires CD4+ et CD8+, à été comparée à leur taux d'expression dans les cellules T naïves CD4+ et CD8+. Résultats: Dans les cellules CD8+, les gènes pro-apoptotiques Bax et Fast étaient surexprimés dans toutes les sous-populations mémoires, tandis que l'expression des facteurs anti-apoptotiques et de survie comme Bcl-2, APRIL et BAFF-R, étaient diminués. Ces deux tendances étaient particulièrement accentuées dans les sous-groupes des cellules mémoires TEM et TTEM. A noter que malgré le fait que leur expression était également diminuée dans les autres cellules mémoires, le facteur de survie IL-7Ra, était sélectivement surexprimé dans la sous-population de cellules TcM et l'expression d'IL-15Ra était sélectivement augmentée dans les TEM. Dans les cellules CD4+, le taux d'expression des gènes analysés était plus variable entre les sujets étudiés que dans les cellules CD8+, ne permettant pas de définir un profil d'expression spécifique. L'expression du gène de survie BAFF par contre, a été significativement augmentée dans toutes les sous-populations mémoire CD4+. Il en va de même pour l'expression d' APRIL et de BAFF-R, bien que dans moindre degré. A remarquer que l'expression du facteur anti-apoptotique Fast a été observée uniquement dans la souspopulation des TTEM. Discussion et Conclusions: Cette étude montre une nette différence entre les cellules CD8+ et CD4+, en ce qui concerne les profils d'expression des gènes impliqués dans la survie et l'apoptose des cellules T mémoires. Ceci pourrait impliquer une régulation cellulaire homéostatique distincte dans ces deux compartiments de cellules T mémoires. Dans les cellules CD8+ l'expression d'un nombre de gènes impliqués dans la survie et la protection de l'apoptose semblerait être diminuée dans les populations TEM et TTEM en comparaison à celle des sous-populations naïves et TEM, tandis que l'expression des gènes pro-apoptotiques semblerait être augmentée. Comme ceci paraît être plus accentué dans les TTEM, cela pourrait indiquer une plus grande disposition à l'apopotose dans les populations CCR7- (effectrices) et une perte de survie parallèlement à l'acquisition de capacités effectrices. Ceci parlerait en faveur d'un modèle de différentiation linéaire dans les cellules CD8+. De plus, l'augmentation sélective de l'expression d'IL-7Ra observée dans le sous-groupe de cellules mémoires TEM, et d'IL-15Ra dans celui des TEM, pourrait indiquer un moyen de sélection pour des réponses immunitaires mémoires à long terme par une réponse distincte à ces cytokines. Dans les cellules CD4+ par contre, aucun profil d'expression n'a pu être déterminé; les résultats suggèrent même une résistance relative à l'apoptose de la part des cellules mémoires. Ceci pourrait favoriser l'existence d'un modèle de différentiation plus flexible avec des possibilités d'interaction multiples. Ainsi, la surexpression sélective de BAFF, APRIL et BAFF-R dans les sous-populations individuelles des cellules mémoires pourrait être un indice de l'interaction de ces sous-groupes avec des cellules B. ABSTRACT Introduction: Based on their surface expression of the CD45 isoform and of the CCR7 chemokine receptor, memory T cells have been divided into the following three subsets: central memory (TAM), effector memory (TEM) and terminal effector memory (ITEM). Distinct functional roles and different proliferative and regenerative capacities have been attributed to each one of these subpopulations. The molecular mechanisms underlying these differences; however, remain poorly understood. Materials and Methods: According to their expression of CD4, CD8, CD45RA and CCR7, human peripheral blood mononuclear cells were sorted by flow-cytometry into CD4+ or CD8+ naïve, TAM, TEM and ITEM subsets. Using real-time PCR, the expression of 14 genes known to be involved in apoptotis, survival or proliferation of T cells was quantified separately in each individual subset, relative to an endogenous reference gene. The RNA equivalent of 450 T cells was used for each gene and subset. The target gene panel included the survival genes BAFF, APRIL, BAFF-R, BCMA, TACI, IL-15Rα and IL-7Rα, the anti-apoptotic genes Bcl2, Bcl-xL and FLIP, the pro-apoptotic genes Bad, Bax and Fast, as well as the antiproliferative gene Tob. Using the comparative CT-method, the expression of the target genes in the three memory T cell subsets of both CD4+ and CD8+ T cell populations was compared to their expression in the naïve T cells. Results: In CD8+ cells, the pro-apoptotic factors Bax and Fast were found to be upregulated in all memory T cell subsets, whereas the survival and anti-apoptotic factors Bcl-2, APRIL and BAFF-R were downregulated. These tendencies were most accentuated in TEM and TTEM subsets. Even though the survival factor IL-7Rα was also downregulated in these subsets, interestingly, it was selectively upregulated in the CD8+ TAM subset. Similarly, IL-15Rαexpression was shown to be selectively upregulated in the CD8+ TEM subset. In CD4+ cells, the expression levels of the analyzed genes showed a greater inter-individual variability than in CD8+ cells, thus suggesting the absence of any particular expression pattern for CD4+ memory T cells. However, the survival factor BAFF was found to be significantly upregulated in all CD4+ memory T cell subsets, as was also the expression of APRIL and BAFF-R, although to a lesser extent. Furthermore, it was noted that the pro-apoptotic gene Fast was only expressed in the TTEM CD4+ subset. Discussion and Conclusions: Genes involved in apoptosis and survival in human memory T cells have been shown to be expressed differently in CD8+ cells as compared to CD4+ cells, suggesting a distinct regulation of cell homeostasis in these two memory T cell compartments. The present study suggests that, in CD8+ T cells, the expression of various survival and antiapoptotic genes is downregulated in TEM and TTEM subsets, while the expression of proapoptotic genes is upregulated in comparison to the naïve and the TAM populations. These characteristics, potentially translating to a greater susceptibility to apoptosis in the CCR7- (effector) memory populations, are accentuated in the TTEM population, suggesting a loss of survival in parallel to the acquisition of effector capacities. This speaks in favour of a linear differentiation model in CD8+ T memory cells. Moreover, the observed selectively increased expression of IL-7Rα in CD8+ TAM cells - as that of IL-15Rα in CD8+ TEM cells -suggest that differential responsiveness to cytokines could confer a selection bias for distinct long-term memory cell responses. Relative to the results for CD8+ T cells, those for CD4+ T cells seem to indicate a certain resistance of the memory subsets to apoptosis, suggesting the possibility of a more flexible differentiation model with multiple checkpoints and potential interaction of CD4+ memory cells with other cells. Thus, the selective upregulation of BAFF, APRIL and BAFF-R in individual memory subsets could imply an interaction of these subsets with B cells.

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I study a repeated buyer-seller relationship for the exchange of a givengood. Asymmetric information over the buyer's reservation price, which issubject to random shocks, may lead the seller to use a rigid pricing policydespite the possibility of making higher profits through price discriminationacross the different satates of the buyer's reservation price. The existence of a flexible price subgame perfect equilibrium is shown for the buyerssufficiently locked-in. When the seller faces a population of buyers whose degree of involvmentin the relatioship is unknown, the flexible price equilibrium is notnecessarily optimal. Thus tipically the seller will prefer to use therigid price strategy. A learning process allowing the seller to screenthe population of buyers is derived abd the existence of a switching pointbetween the two regimes (i.e. price rigidity and price felxibility) isshown.

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In this paper we use Malliavin calculus techniques to obtain an expression for the short-time behavior of the at-the-money implied volatility skew for a generalization of the Bates model, where the volatility does not need to be neither a difussion, nor a Markov process as the examples in section 7 show. This expression depends on the derivative of the volatility in the sense of Malliavin calculus.

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This note offers an analytical framework aimed at explaining how individual agents purposefully act with the goal of managing the value of their information sets. Agents undertake a process of private accumulation of information, which takes into account the non-rival nature of this peculiar entity. Non rivalry introduces an externality that might trigger long-term endogenous fluctuations. The dynamics of interaction, namely the possibility of entering or exiting the group to which the individuals belong, wil l determine time trajectories for the information flows that are unique for the specific conditions of interaction that are being considered at a given momentEste artigo apresenta uma estrutura analítica que tem por objetivo explicar como é que os agentes individuais atuam, de modo intencional, com o propósito de gerir o valor da informação que detêm. Os agentes prosseguem um processo de acumulação privada de informação, o qual toma em consideração a natureza não rival desta entidade que detém características específicas. A não rivalidade introduz uma externalidade que pode despoletar flutuações endógenas de longo prazo. A dinâmica de interação, nomeadamente a possibilidade de entrar ou sair do grupo a que os indivíduos pertencem, vai determinar a formação de trajetórias no tempo para os fluxos de informação, as quais são únicas para as condições particulares de interação que estão a ser consideradas num determinado momento.

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OBJECTIVES: The Swiss Aids prevention strategy has been subject to a continuous process of evaluation for the past 12 years. This paper describes the conceptual approach, methodology, results obtained and contribution to policy-making of that evaluation.¦DESIGN: The evaluation is on-going, global with respect to all components of the strategy, and utilization-focused. Each successive phase of the evaluation has included 10-20 studies centred either on aspects of process, of outcome or of environmental context. Findings are synthesized at the end of each phase. METHODS: Both quantitative and qualitative methods are used. Studies generally have one of three functions within the overall evaluation: assessment of trends through surveys or other types of repeated studies; evaluation of specific areas through a series of studies from different viewpoints; in-depth investigation or rapid assessment through one-off studies. Various methods of triangulation are used to validate findings. RESULTS: The evaluation has allowed for: the observation of behavioural change in different populations; the availability of scientific data in controversial fields such as drug-use policy; an understanding of the diversity of public appropriation of prevention messages. Recommendations are regularly formulated and have been used by policy-makers and field workers for strategy development. CONCLUSIONS: The global approach adopted corresponds well to the evaluation requirements of an integrated long-term prevention strategy. Cost is low relative to the extent of information provided. Such an evaluation cannot however address the question of causal relationship between the strategy and observed changes. The evaluation has contributed to the development of a culture of evaluation in Swiss AIDS prevention more generally.

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Young and adult Long Evans rats were tested in the water maze according to two different procedures: half of the subjects were given one session of four trials a day for 6 days, whereas the other subjects had the same amount of training massed in 1 day. For both conditions, a 14-day retention interval was then introduced to test long-term memory. This was followed by a four-trial reversal session. All groups showed a significant learning curve, but escape latencies were shorter for the adult than for the young rats, without differential effect of the training procedure. A first probe trial (PT1) confirmed similar accurate short-term retention in all the groups. But unimpaired long-term memory was only seen in the adult rats trained with the spaced procedure. The young rats trained over 1 day also showed some retention of the platform location after 14 days, but not the other two groups. Reversal acquisition of the new platform location was rapid in the four groups. These results indicate that although accurate short-term spatial memory in the water maze is seen after a 1-day massed training in both age groups, unimpaired long-term retention is only observed in adult rats trained with 24-h inter-session intervals.

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Very little research has been conducted so far to study the potential mechanisms of change in long-term active psychological treatments of recurrent depression. The present pilot randomized controlled trial aimed to determine the feasibility of studying the change process occurring in patients during the course of 2-year-long dynamic psychotherapy, psychoanalysis, and cognitive therapy, as compared with clinical management. In total, eight outpatients presenting with recurrent depression, two patients per treatment arm, were included. All patients were randomly assigned to one of the four treatment conditions. Defense mechanisms and coping patterns were assessed using validated observer-rated methodology based on transcribed, semistructured follow-along independent dynamic interviews. The results indicated that, whereas some patients in the active treatments changed on the symptomatic levels, some others remained unchanged during the course of their 2-year-long treatment. However, with regard to potential mechanisms of change in these patients, changes in defense mechanisms and coping patterns were revealed to be important processes over time in successful therapies and, to a lesser extent, in less successful treatments. No change was found either on outcome or on the process measure for the control condition, that is, clinical management. These results are discussed along with previous data comparing change in defense mechanisms and coping during the course of treatments.

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Background: Allergen-specific immunotherapy with whole pollen extract may induce anaphylaxis, is poorly standardized and of long duration.We thus designed a randomized, placebo-controlled phase I/II clinical trial in volunteers with birch pollen allergic rhinitis and asthma to evaluate the safety and immunogenicity of a novel immunotherapy based on contiguous overlapping peptides (COPs) derived from Bet v 1, the major birch pollen allergen. Methods: A mixture of three COPs (AllerT™, Anergis SA, Switzerland) spanning the whole Bet v 1 molecule was selected for its inability to bind IgE. Prior to the pollen season, AllerT (in Alum) was injected subcutaneously to 15 adult volunteers at D0 (57 g), D7, D14, D21 and D51 (95 g each). Control volunteers (n = 5) only received the adjuvant. Results: Overall AllerT was safe. No serious adverse events and no immediate allergic reactions were reported. AllerT induced a vigorous early Bet v 1 specific immune response marked by vaccine associated INF- and IL- 10 secretion. This contributed to a strong anti-Bet v 1-specific IgG4 enhancement. Moreover, 2 months after the second season post treatment (July 2010), serum Bet v 1 specific IgG4 response was still markedly increased as compared to pre-treatment values and to placebo whereas post seasonal Bet v 1 specific IgE titers were similar to baseline values. Conclusion: Our data indicate that immunotherapy with a mixture of three COPs derived from Bet v 1 (AllerT) was safe and immunogenic, and led to long-term immunological memory.

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Eighty-five of 99 Iowa counties were declared Presidential Disaster Areas for Public Assistance and/orIndividual Assistance as a result of the tornadoes, storms, and floods over the incident period May 25 through August 13, 2008. Response dominated the state’s attention for weeks, with a transition to recovery as the local situations warranted. The widespread damage and severity of the impact on Iowans and their communities required a statewide effort to continue moving forward despite being surrounded by adversity. By all accounts, it will require years for the state to recover from these disasters. With an eye toward the future, recovery is underway across Iowa. As part of the Rebuild Iowa efforts, the Long Term Recovery Planning Task Force was charged with responsibilities somewhat different from other topical Task Force assignments. Rather than assess damage and report on how the state might address immediate needs, the Long Term Recovery Planning Task Force is directed to discuss and discern the best approach to the lengthy recovery process. Certainly, the Governor and Lieutenant Governor expect the task to be difficult; when planning around so many critical issues and overwhelming needs, it is challenging to think to the future, rather than to rise to the current day’s needs.

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This paper analyzes the relationship between spatial density of economic activity and interregional differences in the productivity of industrial labour in Spain during the period 1860-1999. In the spirit of Ciccone and Hall (1996) and Ciccone (2002), we analyze the evolution of this relationship over the long term in Spain. Using data on the period 1860-1999 we show the existence of an agglomeration effect linking the density of economic activity with labour productivity in the industry. This effect was present since the beginning of the industrialization process in the middle of the 19th century but has been decreasing over time. The estimated elasticity of labour productivity with respect to employment density was close to 8% in the subperiod 1860-1900, reduces to a value of around 7% in the subperiod 1914-1930, to 4% in the subperiod 1965-1979 and becomes insignificant in the final subperiod 1985-1999. At the end of the period analyzed there is no evidence of the existence of net agglomeration effects in the industry. This result could be explained by an important increase in the congestion effects in large industrial metropolitan areas that would have compensated the centripetal or agglomeration forces at work. Furthermore, this result is also consistent with the evidence of a dispersion of industrial activity in Spain during the last decades.

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This contribution builds upon a former paper by the authors (Lipps and Betz 2004), in which a stochastic population projection for East- and West Germany is performed. Aim was to forecast relevant population parameters and their distribution in a consistent way. We now present some modifications, which have been modelled since. First, population parameters for the entire German population are modelled. In order to overcome the modelling problem of the structural break in the East during reunification, we show that the adaptation process of the relevant figures by the East can be considered to be completed by now. As a consequence, German parameters can be modelled just by using the West German historic patterns, with the start-off population of entire Germany. Second, a new model to simulate age specific fertility rates is presented, based on a quadratic spline approach. This offers a higher flexibility to model various age specific fertility curves. The simulation results are compared with the scenario based official forecasts for Germany in 2050. Exemplary for some population parameters (e.g. dependency ratio), it can be shown that the range spanned by the medium and extreme variants correspond to the s-intervals in the stochastic framework. It seems therefore more appropriate to treat this range as a s-interval covering about two thirds of the true distribution.