Effects of two traits of the ecological state equation on our understanding of species coexistence and ecosystem services

Species coexistence has been a fundamental issue to understand ecosystem functioning since the beginnings of ecology as a science. The search of a reliable and all-encompassing explanation for this issue has become a complex goal with several apparently opposing trends. On the other side, seemingly unconnected with species coexistence, an ecological state equation based on the inverse correlation between an indicator of dispersal that fits gamma distribution and species diversity has been recently developed. This article explores two factors, whose effects are inconspicuous in such an equation at the first sight, that are used to develop an alternative general theoretical background in order to provide a better understanding of species coexistence. Our main outcomes are: (i) the fit of dispersal and diversity values to gamma distribution is an important factor that promotes species coexistence mainly due to the right-skewed character of gamma distribution; (ii) the opposite correlation between species diversity and dispersal implies that any increase of diversity is equivalent to a route of “ecological cooling” whose maximum limit should be constrained by the influence of the third law of thermodynamics; this is in agreement with the well-known asymptotic trend of diversity values in space and time; (iii) there are plausible empirical and theoretical ways to apply physical principles to explain important ecological processes; (iv) the gap between theoretical and empirical ecology in those cases where species diversity is paradoxically high could be narrowed by a wave model of species coexistence based on the concurrency of local equilibrium states. In such a model, competitive exclusion has a limited but indispensable role in harmonious coexistence with functional redundancy. We analyze several literature references as well as ecological and evolutionary examples that support our approach, reinforcing the meaning equivalence between important physical and ecological principles.

Trichinella britovi in a red fox (Vulpes vulpes) from Portugal

Trichinellosis is one of the most important foodborne parasitic zoonoses, caused by nematodes of the genus Trichinella. Pigs and other domestic and wild animals, including red foxes (Vulpes vulpes), are sources of Trichinella infection for human beings. Trichinella britovi is the major agent of infection in sylvatic animals and the most important species circulating in the European wildlife. The present study aimed at assessing Trichinella spp. infection in red foxes from the North of Portugal. Forty-seven carcasses of wild red foxes shot during the official hunting season or killed in road accidents were obtained between November 2008 and March 2010. In order to identify the presence of Trichinella spp. larvae in red foxes, an individual artificial digestion was performed using approximately 30g of muscle samples. Larvae of Trichinella spp. were detected in one (2.1%) out of the 47 assessed foxes. After a multiplex polymerase chain reaction analysis, T. britovi was molecularly identified as the infecting species. The recognition of T. britovi in a red fox confirms that a sylvatic cycle is present in the North of Portugal and that the local prevalence of Trichinella infection in wildlife must not be ignored due to its underlying zoonotic risks.

Solution of the relativistic Schrödinger equation for the δ ′ -Function potential in one dimension using cutoff regularization

We study the relativistic version of the Schrödinger equation for a point particle in one dimension with the potential of the first derivative of the delta function. The momentum cutoff regularization is used to study the bound state and scattering states. The initial calculations show that the reciprocal of the bare coupling constant is ultraviolet divergent, and the resultant expression cannot be renormalized in the usual sense, where the divergent terms can just be omitted. Therefore, a general procedure has been developed to derive different physical properties of the system. The procedure is used first in the nonrelativistic case for the purpose of clarification and comparisons. For the relativistic case, the results show that this system behaves exactly like the delta function potential, which means that this system also shares features with quantum filed theories, like being asymptotically free. In addition, in the massless limit, it undergoes dimensional transmutation, and it possesses an infrared conformal fixed point. The comparison of the solution with the relativistic delta function potential solution shows evidence of universality.