9,408 research outputs found

    Real root finding for equivariant semi-algebraic systems

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    Let RR be a real closed field. We consider basic semi-algebraic sets defined by nn-variate equations/inequalities of ss symmetric polynomials and an equivariant family of polynomials, all of them of degree bounded by 2d<n2d < n. Such a semi-algebraic set is invariant by the action of the symmetric group. We show that such a set is either empty or it contains a point with at most 2d12d-1 distinct coordinates. Combining this geometric result with efficient algorithms for real root finding (based on the critical point method), one can decide the emptiness of basic semi-algebraic sets defined by ss polynomials of degree dd in time (sn)O(d)(sn)^{O(d)}. This improves the state-of-the-art which is exponential in nn. When the variables x1,,xnx_1, \ldots, x_n are quantified and the coefficients of the input system depend on parameters y1,,yty_1, \ldots, y_t, one also demonstrates that the corresponding one-block quantifier elimination problem can be solved in time (sn)O(dt)(sn)^{O(dt)}

    Geo-additive models of Childhood Undernutrition in three Sub-Saharan African Countries

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    We investigate the geographical and socioeconomic determinants of childhood undernutrition in Malawi, Tanzania and Zambia, three neighboring countries in Southern Africa using the 1992 Demographic and Health Surveys. We estimate models of undernutrition jointly for the three countries to explore regional patterns of undernutrition that transcend boundaries, while allowing for country-specific interactions. We use semiparametric models to flexibly model the effects of selected so-cioeconomic covariates and spatial effects. Our spatial analysis is based on a flexible geo-additive model using the district as the geographic unit of anal-ysis, which allows to separate smooth structured spatial effects from random effect. Inference is fully Bayesian and uses recent Markov chain Monte Carlo techniques. While the socioeconomic determinants generally confirm what is known in the literature, we find distinct residual spatial patterns that are not explained by the socioeconomic determinants. In particular, there appears to be a belt run-ning from Southern Tanzania to Northeastern Zambia which exhibits much worse undernutrition, even after controlling for socioeconomic effects. These effects do transcend borders between the countries, but to a varying degree. These findings have important implications for targeting policy as well as the search for left-out variables that might account for these residual spatial patterns

    Constraints to the sustainability of a ‘systematised’ approach to livestock marketing amongst smallholder cattle producers in South Africa

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    Commercialization of smallholder agriculture in South Africa is underpinned by reforms to improve livestock off-take in communal areas and engage smallholder farmers with formal markets. To achieve this, Custom Feeding Programmes (CFPs) were established to improve the condition of communal cattle prior to their sale into formal markets and to ‘systematise’ the informal marketing of cattle in communal areas by enabling participants to achieve higher informal market prices. We evaluate the sustainability of eight CFPs located in Eastern Cape Province in terms of their ability to add value to smallholder cattle production and encourage market participation. Communities with CFPs achieved a 16.6% mean cattle off-take rate, substantially higher than in most communal systems. Furthermore, cattle sold through CFPs attained a 17% higher mean selling price than those sold through other marketing channels. However, these benefits were mainly realized by better-off farmers with larger cattle herds and greater ability to transport animals to and from CFPs. More marginalized farmers, particularly women, had low participation. CFPs also face challenges to their sustainability, including inconsistent feed and water supplies, poor infrastructure and high staff turnover. Key to enhancing participation in CFPs, will be improving the way they are supported and embedded within communities

    A Toy Model for Testing Finite Element Methods to Simulate Extreme-Mass-Ratio Binary Systems

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    Extreme mass ratio binary systems, binaries involving stellar mass objects orbiting massive black holes, are considered to be a primary source of gravitational radiation to be detected by the space-based interferometer LISA. The numerical modelling of these binary systems is extremely challenging because the scales involved expand over several orders of magnitude. One needs to handle large wavelength scales comparable to the size of the massive black hole and, at the same time, to resolve the scales in the vicinity of the small companion where radiation reaction effects play a crucial role. Adaptive finite element methods, in which quantitative control of errors is achieved automatically by finite element mesh adaptivity based on posteriori error estimation, are a natural choice that has great potential for achieving the high level of adaptivity required in these simulations. To demonstrate this, we present the results of simulations of a toy model, consisting of a point-like source orbiting a black hole under the action of a scalar gravitational field.Comment: 29 pages, 37 figures. RevTeX 4.0. Minor changes to match the published versio

    Autonomy found: Estimating the local benefit from tourism in SIDS – the Case of Cape Verde

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    Tourism is an unusually important economic sector for the Small Island Development States (SIDS). Islands are the second most visited destinations after historic cities. The SIDS tourism is usually dependent on foreign investment and in the form of All-Inclusive (AI) system. Few studies have evaluated the economic impact of tourism on the economic development and/or poverty reduction of a SID using macro level data. And little research has used micro/firm level data to investigate the impact of tourism on the local economy of SIDS. This paper aims to evaluate the local benefits made from the development of tourism in SIDS, in particular the contribution of AI accommodation using the case of Cape Verde. It makes two main contributions: it makes the first attempt to use microeconomic data at the company level to examine the contribution of tourism in SIDS; it uses empirical data to examine the impacts of AI accommodation on the local economy. A semi-structured hotel questionnaire was applied to 13 accommodation managers and hotel owners, from small guest-houses to large 500 room All-Inclusive resorts in Sal, Boa Vista, Fogo, and Santo Antão. The results indicate that for destinations at an early stage in their development, large-scale AIs may be the most effective way to achieve the growth of tourism to the point that a critical mass is achieved

    Working practices and incomes of health workers : evidence from an evaluation of a delivery fee exemption scheme in Ghana

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    Background: This article describes a survey of health workers and traditional birth attendants (TBAs) which was carried out in 2005 in two regions of Ghana. The objective of the survey was to ascertain the impact of the introduction of a delivery fee exemption scheme on both health workers and those providers who were excluded from the scheme (TBAs). This formed part of an overall evaluation of the delivery fee exemption scheme. The results shed light not only on the scheme itself but also on the general productivity of a range of health workers in Ghana. Methods: A structured questionnaire was developed, covering individual and household characteristics, working hours and practices, sources of income, and views of the exemptions scheme and general motivation. After field testing, this was administered to 374 respondents in 12 districts of Central and Volta regions. The respondents included doctors, medical assistants (MAs), public and private midwives, nurses, community health nurses (CHNs), and traditional birth attendants, both trained and untrained. Results: Health workers were well informed about the delivery fee exemptions scheme and their responses on its impact suggest a realistic view that it was a good scheme, but one that faces serious challenges regarding financial sustainability. Concerning its impact on their morale and working conditions, the responses were broadly neutral. Most public sector workers have seen an increased workload, but counterbalanced by increased pay. TBAs have suffered, in terms of client numbers and income, while the picture for private midwives is mixed. The survey also sheds light on pay and productivity. The respondents report long working hours, with a mean of 54 hours per week for community nurses and up to 129 hours per week for MAs. Weekly reported client loads in the public sector range from a mean of 86 for nurses to 269 for doctors. Over the past two years, reported working hours have been increasing, but so have pay and allowances (for doctors, allowances now make up 66% of their total pay). The lowest paid public health worker now earns almost ten times the average gross national income (GNI) per capita, while the doctors earn 38.5 times GNI per capita. This compares well with average government pay of four times GNI per capita. Comparing pay with outputs, the relatively high number of clients reported by doctors reduces their pay differential, so that the cost per client – $1.09 – is similar to a nurse's (and lower than a private midwife's). Conclusion: These findings show that a scheme which increases demand for public health services while also sustaining health worker income and morale, is workable, if well managed, even within the relatively constrained human resources environment of countries like Ghana. This may be linked to the fact that internal comparisons reveal Ghana's health workers to be well paid from public sector sources.This work was undertaken as part of an international research programme – IMMPACT (Initiative for Maternal Mortality Programme Assessment) – funded by the Bill & Melinda Gates Foundation, the Department for International Development, the European Commission and USAID

    Is Women's Ownership of Land a Panacea in Developing Countries? Evidence from Land-Owning Farm Households in Malawi

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    Our analysis of a rich representative household survey for Malawi, where patrilineal and matrilineal institutions coexist, suggests that: in matrilineal societies the likelihood of high-value crop cultivation by a household increases with the extent of land owned by males, while the income generated from high-value crop production decreases with the amount of land owned by females; and the cultivation of high-value crops increases household welfare. The policy implication is that facilitating female ownership of assets through informal and formal institutions does not, on its own, increase welfare when appropriate complementary resources and institutions are absent

    The use of indigenous knowledge in development: problems and challenges

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    The use of indigenous knowledge has been seen by many as an alternative way of promoting development in poor rural communities in many parts of the world. By reviewing much of the recent work on indigenous knowledge, the paper suggests that a number of problems and tensions has resulted in indigenous knowledge not being as useful as hoped for or supposed. These include problems emanating from a focus on the (arte)factual; binary tensions between western science and indigenous knowledge systems; the problem of differentiation and power relations; the romanticization of indigenous knowledge; and the all too frequent decontextualization of indigenous knowledge
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