Optimal growth strategies when mortality and production rates are size-dependent

Pontryagin's maximum principle from optimal control theory is used to find the optimal allocation of energy between growth and reproduction when lifespan may be finite and the trade-off between growth and reproduction is linear. Analyses of the optimal allocation problem to date have generally yielded bang-bang solutions, i.e. determinate growth: life-histories in which growth is followed by reproduction, with no intermediate phase of simultaneous reproduction and growth. Here we show that an intermediate strategy (indeterminate growth) can be selected for if the rates of production and mortality either both increase or both decrease with increasing body size, this arises as a singular solution to the problem. Our conclusion is that indeterminate growth is optimal in more cases than was previously realized. The relevance of our results to natural situations is discussed.

Whistler mode wave growth and propagation in the prenoon magnetosphere

Pitch-angle scattering of electrons can limit the stably trapped particle flux in the magnetosphere and precipitate energetic electrons into the ionosphere. Whistler-mode waves generated by a temperature anisotropy can mediate this pitch-angle scattering over a wide range of radial distances and latitudes, but in order to correctly predict the phase-space diffusion, it is important to characterise the whistler-mode wave distributions that result from the instability. We use previously-published observations of number density, pitch-angle anisotropy and phase space density to model the plasma in the quiet pre-noon magnetosphere (defined as periods when AE<100nT). We investigate the global propagation and growth of whistler-mode waves by studying millions of growing ray paths and demonstrate that the wave distribution at any one location is a superposition of many waves at different points along their trajectories and with different histories. We show that for observed electron plasma properties, very few raypaths undergo magnetospheric reflection, most rays grow and decay within 30 degrees of the magnetic equator. The frequency range of the wave distribution at large L can be adequately described by the solutions of the local dispersion relation, but the range of wavenormal angle is different. The wave distribution is asymmetric with respect to the wavenormal angle. The numerical results suggest that it is important to determine the variation of magnetospheric parameters as a function of latitude, as well as local time and L-shell.

Optical characterization of the growth and spatial structure of a substorm onset arc

We present a detailed case study of the characteristics of auroral forms that constitute the first ionospheric signatures of substorm expansion phase onset. Analysis of the optical frequency and along-arc (azimuthal) wave number spectra provides the strongest constraint to date on the potential mechanisms and instabilities in the near-Earth magnetosphere that accompany auroral onset and which precede poleward arc expansion and auroral breakup. We evaluate the frequency and growth rates of the auroral forms as a function of azimuthal wave number to determine whether these wave characteristics are consistent with current models of the substorm onset mechanism. We find that the frequency, spatial scales, and growth rates of the auroral forms are most consistent with the cross-field current instability or a ballooning instability, most likely triggered close to the inner edge of the ion plasma sheet. This result is supportive of a near-Earth plasma sheet initiation of the substorm expansion phase. We also present evidence that the frequency and phase characteristics of the auroral undulations may be generated via resonant processes operating along the geomagnetic field. Our observations provide the most powerful constraint to date on the ionospheric manifestation of the physical processes operating during the first few minutes around auroral substorm onset.

The interface between organizational learning capability, entrepreneurial orientation, and SME growth

This paper investigates the interface between organizational learning capability, entrepreneurial orientation (EO), and small business performance. It reports on the findings from 350 small and medium enterprises (SMEs) in North Cyprus operating in the services and retailing sectors. The findings indicate a positive relationship between EO and sales and market share growth, but not between EO and employment growth. There is also a positive relationship between organizational learning capability and EO. This paper contributes to the small business management literature by providing a holistic analysis of the interface between organizational learning capability, EO, and growth.

Propagation, growth, and carbohydrates of Dendrobium Second Love (Orchidaceae) in vitro as affected by sucrose, light, and dark

In general, plant material grown in vitro has low photosynthetic ability to achieve positive carbon balances. Therefore, a continuous supply of carbohydrates from the culture medium is required, and sucrose has been the most commonly used carbon source. In this paper, we investigate the effects of different sucrose concentrations and the presence and absence of light on the endogenous levels of soluble carbohydrates and starch as well as on the proliferation and growth of Dendrobium Second Love (Orchidaceae) in vitro. The possibility of using etiolated stem segments as a means for micropropagating this hybrid was also verified. The results obtained indicated that the presence and absence of light and the sucrose concentrations used influenced the amounts of soluble carbohydrates and starch and the proliferation of D. Second Love shoots and roots. An increase in sucrose concentration caused a progressive increase in the amounts of total carbohydrates and starch. Under both light conditions, sucrose was the main sugar found in the shoots followed by glucose and fructose. The addition of sucrose to the culture medium up to 2% and 4% was advantageous to the number of shoots produced per explant and the root longitudinal growth in the presence and absence of light, respectively. Shoot and root dry matter and the number of roots formed per explant increased as sucrose concentration was raised up to 6% in both light treatments. The use of dark-grown shoot segments proved to be a useful and reliable alternative for the micropropagation of this hybrid.

Growth and Melting of Metallic Nanoclusters in Glass: A Review of Recent Investigations

The mechanisms of nucleation and growth and the solid-to-liquid transition of metallic nanoclusters embedded in sodium borate glass were recently studied in situ via small-angle X-ray scattering (SAXS) and wide-an-le X-ray scattering (WAXS). SAXS results indicate that, under isothermal annealing conditions, the formation and growth of Bi or Ag nanoclusters embedded in sodium borate glass occurs through two successive stages after a short incubation period. The first stage is characterized by the nucleation and growth of spherical metal clusters promoted by the diffusion of Bi or Ag atoms through the initially supersaturated glass phase. The second stage is named the coarsening stage and occurs when the (Bi- or Ag-) doping level of the vitreous matrix is close to the equilibrium value. The experimental results demonstrated that, at advanced stages of the growth process, the time dependence of the average radius and density number of the clusters is in agreement with the classical Lifshitz-Slyozov-Waoner (LSW) theory. However, the radius distribution function is better described by a lognormal function than by the function derived from the theoretical LSW model. From the results of SAXS measurements at different temperatures, the activation energies for the diffusion of Ag and Bi through sodium borate glass were determined. In addition, via combination of the results of simultaneous WAXS and SAXS measurements at different temperatures, the crystallographic structure and the dependence of melting temperature T(m) on crystal radius R of Bi nanocrystals were established. The experimental results indicate that T(m) is a linear and decreasing function of nanocrystal reciprocal radius 1/R, in agreement with the Couchman and Jesser theoretical model. Finally, a weak contraction in the lattice parameters of Bi nanocrystals with respect to bulk crystals was established.

Sustained growth, government expenditure and inflation

We construct and simulate a theoretical model in order to explain particular historical experiences in which inflation acceleration apparently helped to spur a period of economic growth. Government financed expenditures affect positively the produtivity growth in this model so that the distortionary effect of inflation tax is compensated by the productive effect of public expenditures. We show that for some interval of money creation rates there is an equilibrium where money is valued and where steady state physica1 capital grows with inflation. It is a1so shown that zero inflation and growth maximization are never the optimal policies.

A note on growth, welfare and public policy

In this note the growth anti welfare effects of fiscal anti monetary policies are investigated in three economies where public investment is part of the productive process It is shown that growth is maximized at positive levels of income tax and inflation but that there is no direct relationship between government size, productivity and growth or between inflation and growth. However, unless there are no transfers or public goods in the economy, maximization of growth does not imply welfare maximization and the optimal tax rate and government size are greater than those that maximize growth. Money is not superneutral anti the optimal rate of money creation is below the maximizing rate of growth.

Inequality and economic growth in Latin

Latin America is the region that bears the highest rates of inequality in the world. Deininger and Squire (1996) showed that Latin American countries achieved only minor reductions in inequality between 1960 and 1990. On the other hand, East Asian countries, recurrently cited in recent literature on this issue, have significantly narrowed the gap in income inequality, while achieving sustained economic growth. These facts have triggered a renewed discussion on the relationship between income inequality and economic growth. According to the above literature, income inequality could have an adverse effect on countries’ growth rates. The main authors who spouse this line of thinking are Persson and Tebellini (1994), Alesina and Rodrik (1994), Perotti (1996), Bénabou (1996), and Deininger and Squire (1996, 1998). More recently, however, articles were published that questioned the evidence presented previously. Representatives of this new point of view, namely Li and Zou (1998), Barro (1999), Deininger and Olinto (2000) and Forbes (2000), believe that the relation between these variables can be positive, i.e., income inequality can indeed foster economic growth. Using this literature as a starting point, this article seeks to evaluate the relation between income inequality and economic growth in Latin America, based on a 13-country panel, from 1970 to 1995. After briefly reviewing the above articles, this study estimates the per capita GDP and growth rate equations, based on the neoclassical approach for economic growth. It also estimates the Kuznets curve for this sample of countries. Econometric results are in line with recent work conducted in this area – particularly Li and Zou (1998) and Forbes (2000) – and confirm the positive relation between inequality and growth, and also support Kuznets hypothesis.

Growth, structural change and technological capabilities Latin America in a comparative perspective

Countries differ in terms of technological capabilities and complexity of production structures. According to that, countries may follow different development strategies: one based on extracting rents from abundant endowments, such as labor or natural resources, and the other focused on creating rents through intangibles, basically innovation and knowledge accumulation. The present article studies international convergence and divergence, linking structural change with trade and growth through a North South Ricardian model. The analysis focuses on the asymmetries between Latin America and mature and catching up economies. Empirical evidence supports that a shift in the composition of the production structure in favor of R&D intensive sectors allows achieving higher rates of growth in the long term and increases the capacity to respond to demand changes. A virtuous export-led growth requires laggard countries to reduce the technological gap with respect to more advanced ones. Hence, abundance of factor endowments requires to be matched with technological capabilities development for countries to converge in the long term.

Inflationary financing of public investment and economic growth

a theoretical model is constructed in order to explain particular historical experiences in which inflation acceleration apparently helped to spur a period of economic growth. Government financed expenditures affect positively the productivity growth in this model so that the distortionary effect of inflation tax is compensated by the productive effect of public expenditures. We show that for some interval of money creation rates there is an equilibrium where money is valued and where steady state physical capital grows with inflation. It is also shown that zero inflation and growth maximization are never the optimal policies.

Growth,distribution and school policy

This paper investigates the relationship between growth, income inequality, and educational policies. An endogenous growth model is built in which there are two types of labor, skilled and unskilled, and the quality of the labor force (measured by the fraction of skilled workers) will ultimately determine the economic growth rate. We show that multi pIe inequality and growth paths may arise. Countries will not necessarily converge to the same economic growth and income distribution. When the proportion of skilled workers is low, the economy grows slow, and the Gini coeflicient is high. Low expected growth rate inhibits investments in human capital and the quality of the labor force tomorrow turns out to be low again, keeping the economy in the bad equilibrium. We then analyze the effects on growth and inequality of two types of government intervention: introduction of public schools and vouchers. Both types can induce the economic agents to invest more in education. The consequence will be an increase in the quality of the labor force, leading to higher growth rates and less inequality. Finally, we examine the welfare consequences of these interventions and conclude that they may be Pareto improving.

Growth and distribution: a revised classical model

This paper discusses distribution and the historical phases of capitalism. It assumes that technical progress and growth are taking place, and, given that, its question is on the functional distribution of income between labor and capital, having as reference classical theory of distribution and Marx’s falling tendency of the rate of profit. Based on the historical experience, it, first, inverts the model, making the rate of profit as the constant variable in the long run and the wage rate, as the residuum; second, it distinguishes three types of technical progress (capital-saving, neutral and capital-using) and applies it to the history of capitalism, having the UK and France as reference. Given these three types of technical progress, it distinguishes four phases of capitalist growth, where only the second is consistent with Marx prediction. The last phase, after World War II, should be, in principle, capital-saving, consistent with growth of wages above productivity. Instead, since the 1970s wages were kept stagnant in rich countries because of, first, the fact that the Information and Communication Technology Revolution proved to be highly capital using, opening room for a new wage of substitution of capital for labor; second, the new competition coming from developing countries; third, the emergence of the technobureaucratic or professional class; and, fourth, the new power of the neoliberal class coalition associating rentier capitalists and financiers

Banks, liquidity crises and economic growth

How do the liquidity functions of banks affect investment and growth at different stages of economic development? How do financial fragility and the costs of banking crises evolve with the level of wealth of countries? We analyze these issues using an overlapping generations growth model where agents, who experience idiosyncratic liquidity shocks, can invest in a liquid storage technology or in a partially illiquid Cobb Douglas technology. By pooling liquidity risk, banks play a growth enhancing role in reducing inefficient liquidation of long term projects, but they may face liquidity crises associated with severe output losses. We show that middle income economies may find optimal to be exposed to liquidity crises, while poor and rich economies have more incentives to develop a fully covered banking system. Therefore, middle income economies could experience banking crises in the process of their development and, as they get richer, they eventually converge to a financially safe long run steady state. Finally, the model replicates the empirical fact of higher costs of banking crises for middle income economies.

Live and formulated diet evaluation through initial growth and survival of jundiá larvae, Rhamdia quelen

A larvicultura da maioria das espécies de peixes enfrenta o desafio da dependência do alimento vivo (AL) e da falta de dietas formuladas (DF) que atendam plenamente às necessidades das larvas. A baixa digestibilidade e a qualidade nutricional das DFs são alguns dos fatores que explicam o insucesso quando as larvas recebem apenas FD. Para avaliar o efeito da combinação da DF com o AL no crescimento e na sobrevivência de larvas de jundiá (Rhamdia quelen), comparando com o uso separado da DF ou do AL, larvas recém eclodidas (5,57 mm; 1,41 mg) foram estocadas inicialmente em 12 aquários de 10 L (100 larvas por aquário). Quatro réplicas foram alimentadas ad libitum com uma das três dietas por 20 (para DF) ou 48 dias (para AL ou a combinação DF + AL). As larvas alimentadas com apenas DF apresentaram crescimento e sobrevivência reduzidos quando comparadas àquelas alimentadas com AL ou a combinação DF + AL. Adicionalmente, as larvas do tratamento DF + AL apresentaram maior crescimento em peso (170 mg) que aquelas alimentadas apenas com AL (110 mg). O melhor desempenho das larvas alimentadas com DF + AL mostra que a maioria dos nutrientes exigidos pelas larvas é fornecida mais adequadamente quando ambas as dietas são fornecidas juntamente. Contudo, trabalhos sobre nutrição larval poderão contribuir ainda mais sobre a elucidação deste tema quando feitas comparações com o uso combinado de DF + AL, do que apenas testando isoladamente novos ingredientes e fontes protéicas normalmente utilizadas na elaboração de dietas para juvenis e adultos.