Solar and geothermal energy for low-carbon space heating and energy independence.

In developed countries, space heating is highly dependent on fossil fuels consumption. Also, the non-renewable fuels combustion emits CO2 which is claimed to impact the most on greenhouse effect. The utilization of Renewable Energy Sources (RES) for space heating, instead of fossil fuels, has been found to be feasible for systems’ greater energy independence and reduction in CO2 emissions. Solar Assisted Ground Source Heat Pump (SAGSHP) systems are a promising technology which can be used to accomplish the above framed target. A mathematic model of a SAGSHP system was built and a parametric analysis for Birmingham which is a city located in the UK’s West Midlands was conducted. Two scenarios based on two different dwellings were investigated, the one was a house recently erected and the other was a refurbished house. As regards the new house, simulation results showed that the utilized energy for space heating and Domestic Hot Water (DHW) can vary from 33% up to 73% RES dependent and, at the same time, electricity generation can be 2.21 times higher than the system’s demand. As regards the energy renovated dwelling, the RES contribution to the delivered heat was found to be between the 33% and 63%, while the electricity generation did not result in any surplus energy from the consumed. Finally, by making use of SAGSHP system instead of a natural Gas boiler, the reduction of CO2 emissions was found to be between 300kg/year and 2,170kg/year for the new building and from 245kg/year up to 3,221kg/year for the refurbished house, respectively. In both cases, SAGSHP systems proved to be a feasible practice for greater energy independence from non-renewable energy sources with substantial positive impact on the greenhouse gasses emissions

Child schooling, child health and rainfall shocks: evidence from rural Vietnam

We study the effect of early life conditions, proxied by rainfall shocks, on schooling and height in rural Vietnam. Our measure of rainfall shock is defined as deviations from the long-run average. Many Vietnamese rural dwellers engage in rain-fed crop production, mostly irrigated paddy rice. Sufficient annual rainfall could play an important role in the harvest and thus, the household income. Nutritional deficiencies resulting from the household's income shocks may have negative consequences on health. We find that a negative rainfall shock during gestation delays school entry and slows progress through school. In addition, a negative rainfall shock in the third year of life affects adversely both schooling and height. The effects differ by region in ways that reflect differing constraints on families that are shaped by regional economic heterogeneity. We predict that policies that help rural families smooth income shocks will result in increases in human capital and in substantial cumulative returns in productivity over the life course.Vietnam, child nutrition, early childhood, school enrollment

"The Effect of Child Health on Schooling: Evidence from Rural Vietnam"

We study the relationship between long term child health and human capital. Child health may suffer if a child is inadequately nourished or is exposed to disease early in life and this may affect subsequent accumulation of human capital. We use data from rural Vietnam to examine the impact of child health on delay in starting school and schooling progress taking into account that choices of families affect children’s health and schooling. Our instrument is early life rainfall shocks that have differential effects arising from regional economic diversity. Our estimates indicate that better child health results in meaningfully improved schooling outcomes.child health, z-score, school entry delay, schooling gap, rainfall shocks, Vietnam

Power Strip Packing of Malleable Demands in Smart Grid

We consider a problem of supplying electricity to a set of $\mathcal{N}$ customers in a smart-grid framework. Each customer requires a certain amount of electrical energy which has to be supplied during the time interval $[0,1]$. We assume that each demand has to be supplied without interruption, with possible duration between $\ell$ and $r$, which are given system parameters ($\ell\le r$). At each moment of time, the power of the grid is the sum of all the consumption rates for the demands being supplied at that moment. Our goal is to find an assignment that minimizes the {\it power peak} - maximal power over $[0,1]$ - while satisfying all the demands. To do this first we find the lower bound of optimal power peak. We show that the problem depends on whether or not the pair $\ell, r$ belongs to a "good" region $\mathcal{G}$. If it does - then an optimal assignment almost perfectly "fills" the rectangle $time \times power = [0,1] \times [0, A]$ with $A$ being the sum of all the energy demands - thus achieving an optimal power peak $A$. Conversely, if $\ell, r$ do not belong to $\mathcal{G}$, we identify the lower bound $\bar{A} >A$ on the optimal value of power peak and introduce a simple linear time algorithm that almost perfectly arranges all the demands in a rectangle $[0, A /\bar{A}] \times [0, \bar{A}]$ and show that it is asymptotically optimal

Cartography of high-dimensional flows: A visual guide to sections and slices

Symmetry reduction by the method of slices quotients the continuous symmetries of chaotic flows by replacing the original state space by a set of charts, each covering a neighborhood of a dynamically important class of solutions, qualitatively captured by a `template'. Together these charts provide an atlas of the symmetry-reduced `slice' of state space, charting the regions of the manifold explored by the trajectories of interest. Within the slice, relative equilibria reduce to equilibria and relative periodic orbits reduce to periodic orbits. Visualizations of these solutions and their unstable manifolds reveal their interrelations and the role they play in organizing turbulence/chaos.Comment: 12 Pages, 12 figure