The stability of ecosystems: a brief overview of the paradox of enrichment

In theory, enrichment of resource in a predator-prey model leads to destabilization of the system, thereby collapsing the trophic interaction, a phenomenon referred to as "the paradox of enrichment". After it was first proposed by Rosenzweig (1971), a number of subsequent studies were carried out on this dilemma over many decades. In this article, we review these theoretical and experimental works and give a brief overview of the proposed solutions to the paradox. The mechanisms that have been discussed are modifications of simple predator-prey models in the presence of prey that is inedible, invulnerable, unpalatable and toxic. Another class of mechanisms includes an incorporation of a ratio-dependent functional form, inducible defence of prey and density-dependent mortality of the predator. Moreover, we find a third set of explanations based on complex population dynamics including chaos in space and time. We conclude that, although any one of the various mechanisms proposed so far might potentially prevent destabilization of the predator-prey dynamics following enrichment, in nature different mechanisms may combine to cause stability, even when a system is enriched. The exact mechanisms, which may differ among systems, need to be disentangled through extensive field studies and laboratory experiments coupled with realistic theoretical models

The Role of Radioactivities in Astrophysics

I present both a history of radioactivity in astrophysics and an introduction to the major applications of radioactive abundances to astronomy

Reconocimiento de diásporas de Malveae (Malvaceae) en muestras de suelos de zonas serranas (Sierras Chicas, Córdoba, Argentina) afectadas por incendios

En el marco de un estudio de regeneración post-incendio de la vegetación autóctona en campos de sierra ubicados en proximidades de Falda del Carmen (Sierras Chicas, Córdoba, Argentina), se ha analizado el banco de semillas aéreo para facilitar la identificación de las especies presentes en las muestras de suelo. Entre las familias con mayor diversidad y abundancia en la zona evaluada, las Malvaceae se encuentran representadas por 14 especies pertenecientes a los géneros: Abutilon Mill., Gaya Kunth., Krapovickasia Fryxell, Malvastrum A. Gray, Pavonia Cav., Pseudabutilon R. E. Fr., Sida L. y Sphaeralcea A. St.-Hil.. Se presentan dos claves dicotómicas para diferenciar las especies utilizando caracteres morfológicos de las diásporas, mericarpos y semillas respectivamente, acompañadas por las descripciones y las ilustraciones de las estructuras consideradas. Se tienen en cuenta aspectos morfológicos de los mericarpos (forma, tamaño, superficie de las caras dorsal y laterales, dehiscencia, aristas, pubescencia, divisiones internas, número de semillas por mericarpo) y de las semillas (forma, tamaño, superficie, pubescencia, hilo)

Entropy Stable Finite Volume Approximations for Ideal Magnetohydrodynamics

This article serves as a summary outlining the mathematical entropy analysis of the ideal magnetohydrodynamic (MHD) equations. We select the ideal MHD equations as they are particularly useful for mathematically modeling a wide variety of magnetized fluids. In order to be self-contained we first motivate the physical properties of a magnetic fluid and how it should behave under the laws of thermodynamics. Next, we introduce a mathematical model built from hyperbolic partial differential equations (PDEs) that translate physical laws into mathematical equations. After an overview of the continuous analysis, we thoroughly describe the derivation of a numerical approximation of the ideal MHD system that remains consistent to the continuous thermodynamic principles. The derivation of the method and the theorems contained within serve as the bulk of the review article. We demonstrate that the derived numerical approximation retains the correct entropic properties of the continuous model and show its applicability to a variety of standard numerical test cases for MHD schemes. We close with our conclusions and a brief discussion on future work in the area of entropy consistent numerical methods and the modeling of plasmas