Equidistribution of Fekete Points on the Sphere

Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution of Fekete points in the sphere. The way we proceed is by showing their connection to other arrays of points, the so-called Marcinkiewicz-Zygmund arrays and interpolating arrays, that have been studied recently.

Transitional effects of a pension system change in Spain

This paper studies the output effects, transition costs and the change in pension benefits derived from the substitution of the current unfunded pension system by a fully funded pension system financed through mandatory savings.These effects are estimated by using reduced versions of the neoclassical and endogenous growth frameworks. Because of the greater capital accumulation during the transition phase, final output increases by 23,6% (neoclassicalframework); and a 24,5-31,5% (endogenous growth framework). The initial revenue loss for the government would represent a 4,8% of the GDP, raising very slowly during the transition period. Given the new growth rates, rates of return ofphysical capital, and financial intermediation costs, we have that the capitalization pension benefits obtained by all 30-contribution-year worker would be more than twice than those that guarantee the financial sustainability of thepublic pension system

Beyond the Toledo agreement : the intergenerational impact of the spanish pension reform

The paper examines the intergenerational impact of the Spanish public pension system after the 1997 Pension Reform Act. Working within a Generational Accounting framework, we find that maintaining the new legal setting could leave future generations with liabilities as high as 176 percent of base year GDP. As the recent reform measures have been insufficient to achieve the sustainability of the current pension system, we also analyse the impact of alternative reform strategies. Within the current pay-as-you-go setting, a further improvement to tax-benefit linkage in line with the original spirit of the Toledo Agreement is shown to yield and intergenerationally more balanced outcome,than an increase in the retirement age or an expansion of public subsidies financed through indirect taxes. Finally, we examine the generational impact of a move toward a partially funded pension system which might restore theintergenerational balance

Structural development accounting

We construct and estimate a unified model combining three of the main sources ofcross-country income disparities: differences in factor endowments, barriers to technologyadoption and the inappropriateness of frontier technologies to local conditions. The keycomponents are different types of workers, distortions to capital accumulation, directedtechnical change, costly adoption and spillovers from the world technology frontier. Despiteits parsimonious parametrization, our empirical model provides a good fit of GDP data forup to 86 countries in 1970 and 122 countries in 2000. Removing barriers to technologyadoption would increase the output per worker of the average non-OECD country relativeto the US from 0.19 to 0.61, while increasing skill premia in all countries. Removing barriersto trade in goods amplifies income disparities, induces skill-biased technology adoptionand increases skill premia in the majority of countries. These results are reverted if tradeliberalization is coupled with international IPR protection.

Regional income inequality in Italy in the long run (1871–2001). Patterns and determinants

The chapter presents up-to-date estimates of Italy’s regional GDP, with the present borders, in ten-year benchmarks from 1871 to 2001, and proposes a new interpretative hypothesis based on long-lasting socio-institutional differences. The inverted U-shape of income inequality is confirmed: rising divergence until the midtwentieth century, then convergence. However, the latter was limited to the centrenorth: Italy was divided into three parts by the time regional inequality peaked, in 1951, and appears to have been split into two halves by 2001. As a consequence of the falling back of the south, from 1871 to 2001 we record σ-divergence across Italy’s regions, i.e. an increase in dispersion, and sluggish β-convergence. Geographical factors and the market size played a minor role: against them are both the evidence that most of the differences in GDP are due to employment rather than to productivity and the observed GDP patterns of many regions. The gradual converging of regional GDPs towards two equilibria instead follows social and institutional differences − in the political and economic institutions and in the levels of human and social capital – which originated in pre-unification states and did not die (but in part even increased) in postunification Italy.

Traces of functions in Fock spaces on lattices of critical density

Following a scheme of Levin we describe the values that functions in Fock spaces take on lattices of critical density in terms of both the size of the values and a cancelation condition that involves discrete versions of the Cauchy and Beurling-Ahlfors transforms.

A Fast Gradient Approximation for Nonlinear Blind Signal Processing

When dealing with nonlinear blind processing algorithms (deconvolution or post-nonlinear source separation), complex mathematical estimations must be done giving as a result very slow algorithms. This is the case, for example, in speech processing, spike signals deconvolution or microarray data analysis. In this paper, we propose a simple method to reduce computational time for the inversion of Wiener systems or the separation of post-nonlinear mixtures, by using a linear approximation in a minimum mutual information algorithm. Simulation results demonstrate that linear spline interpolation is fast and accurate, obtaining very good results (similar to those obtained without approximation) while computational time is dramatically decreased. On the other hand, cubic spline interpolation also obtains similar good results, but due to its intrinsic complexity, the global algorithm is much more slow and hence not useful for our purpose.

Análisis de convergencia de las regiones de la zona euro (1990-2010)

Since the birth of Economic and Monetary Union (EMU), policies have been implemented in the Member States of the European Union (EU) to lead them towards economic convergence. This article analyses the convergence of the 174 regions that exist in the 17 euro-zone countries in the years from 1990 to 2010. The article specifies a space-time econometric model using the hypotheses of conditioned beta-convergence and sigmaconvergence. The dependent variables of the model are per capita GDP and productivity and the explanatory variables are real economic variables. Beta-convergence is found to exist between the countries of the euro-zone in terms of per capita GDP, but there is divergence in terms of productivity, though only at country level. In other words, the hypothesis is confirmed that it is guidelines at country level that lead to hypothetical convergence and that the unfavourable performance of productivity is due, without doubt, to differences in behaviour between the active populations of the different euro zone countries

Demand-based structural change and balanced economic growth

[eng] We analyze the equilibrium of a multi-sector exogenous growth model where the introduction of minimum consumption requirements drives structural change. We show that equilibrium dynamics simultaneously exhibt structural change and balanced growth of aggregate variables as is observed in US when the initial intensity of minimum consumption requirements is sufficiently small. This intensity is measured by the ratio between the aggregate value of the minimum consumption requirements and GDP and, therefore, it is inversely related with the level of economic development. Initially rich economies benefit from an initially low intensity of the minimum consumption requirements and, as a consequence, these economies end up exhibiting balanced growth of aggregate variables, while there is structural change. In contrast, initially poor economies suffer from an initially large intensity of the minimum consumption requirements, which makes the growth of the aggregate variables unbalanced during a very large period. These economies may never exhibit simultaneously balanced growth of aggregate variables and structural change.

Equidistribution of Fekete Points on the Sphere

Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution of Fekete points in the sphere. The way we proceed is by showing their connection to other arrays of points, the so-called Marcinkiewicz-Zygmund arrays and interpolating arrays, that have been studied recently.

Forecasting coal resources and reserves in heterogeneous coal zones using 3D facies models (As Pontes Basin, NW Spain)

Forecasting coal resources and reserves is critical for coal mine development. Thickness maps are commonly used for assessing coal resources and reserves; however they are limited for capturing coal splitting effects in thick and heterogeneous coal zones. As an alternative, three-dimensional geostatistical methods are used to populate facies distributionwithin a densely drilled heterogeneous coal zone in the As Pontes Basin (NWSpain). Coal distribution in this zone is mainly characterized by coal-dominated areas in the central parts of the basin interfingering with terrigenous-dominated alluvial fan zones at the margins. The three-dimensional models obtained are applied to forecast coal resources and reserves. Predictions using subsets of the entire dataset are also generated to understand the performance of methods under limited data constraints. Three-dimensional facies interpolation methods tend to overestimate coal resources and reserves due to interpolation smoothing. Facies simulation methods yield similar resource predictions than conventional thickness map approximations. Reserves predicted by facies simulation methods are mainly influenced by: a) the specific coal proportion threshold used to determine if a block can be recovered or not, and b) the capability of the modelling strategy to reproduce areal trends in coal proportions and splitting between coal-dominated and terrigenousdominated areas of the basin. Reserves predictions differ between the simulation methods, even with dense conditioning datasets. Simulation methods can be ranked according to the correlation of their outputs with predictions from the directly interpolated coal proportion maps: a) with low-density datasets sequential indicator simulation with trends yields the best correlation, b) with high-density datasets sequential indicator simulation with post-processing yields the best correlation, because the areal trends are provided implicitly by the dense conditioning data.

Demand-based structural change and balanced economic growth

[eng] We analyze the equilibrium of a multi-sector exogenous growth model where the introduction of minimum consumption requirements drives structural change. We show that equilibrium dynamics simultaneously exhibt structural change and balanced growth of aggregate variables as is observed in US when the initial intensity of minimum consumption requirements is sufficiently small. This intensity is measured by the ratio between the aggregate value of the minimum consumption requirements and GDP and, therefore, it is inversely related with the level of economic development. Initially rich economies benefit from an initially low intensity of the minimum consumption requirements and, as a consequence, these economies end up exhibiting balanced growth of aggregate variables, while there is structural change. In contrast, initially poor economies suffer from an initially large intensity of the minimum consumption requirements, which makes the growth of the aggregate variables unbalanced during a very large period. These economies may never exhibit simultaneously balanced growth of aggregate variables and structural change.

Demand-based structural change and balanced economic growth

[eng] We analyze the equilibrium of a multi-sector exogenous growth model where the introduction of minimum consumption requirements drives structural change. We show that equilibrium dynamics simultaneously exhibt structural change and balanced growth of aggregate variables as is observed in US when the initial intensity of minimum consumption requirements is sufficiently small. This intensity is measured by the ratio between the aggregate value of the minimum consumption requirements and GDP and, therefore, it is inversely related with the level of economic development. Initially rich economies benefit from an initially low intensity of the minimum consumption requirements and, as a consequence, these economies end up exhibiting balanced growth of aggregate variables, while there is structural change. In contrast, initially poor economies suffer from an initially large intensity of the minimum consumption requirements, which makes the growth of the aggregate variables unbalanced during a very large period. These economies may never exhibit simultaneously balanced growth of aggregate variables and structural change.

Railroad Impact in Backward Economies: Spain, 1850-1913

This article reassesses the economic impact of Spanish railroads in 1850-1913, which has been usually considered to be substantially higher than in the most developed countries on the basis of the social saving methodology. The application of growth accounting techniques shows, by contrast, that the direct contribution of railroads to economic growth was lower in Spain than in the UK, mainly due to the low importance that railroad transport had within Spanish GDP before 1913.

The Role of Railways in Export-Led Growth: The Case of Uruguay, 1870-1913

The social saving literature has highlighted the indispensable role that railways played before 1914 in several Latin American export-oriented economies, such as Mexico, Brazil and Argentina. The article analyses the case of Uruguay, a country that, by 1914, had built one of the densest railway networks in Latin America. The article shows that, in contrast to what happened in other economies of the region, the resource saving effects of the Uruguayan railways during the first globalisation were tiny due to the small share that railway output accounted for within the country's gross domestic product (GDP). Three complementary reasons are suggested to explain that result, namely: the geographical structure of the country; its sectoral specialisation; and the small scale of the Uruguayan economy. Due to these three characteristics, Uruguay was unable to benefit from railways in the way that other export-oriented Latin American economies did during the first period of globalisation. This conclusion draws attention to the geographic-specific character of railway technology.