The advantage of being slow: the quasi-neutral contact process

According to the competitive exclusion principle, in a finite ecosystem, extinction occurs naturally when two or more species compete for the same resources. An important question that arises is: when coexistence is not possible, which mechanisms confer an advantage to a given species against the other(s)? In general, it is expected that the species with the higher reproductive/death ratio will win the competition, but other mechanisms, such as asymmetry in interspecific competition or unequal diffusion rates, have been found to change this scenario dramatically. In this work, we examine competitive advantage in the context of quasi-neutral population models, including stochastic models with spatial structure as well as macroscopic (mean-field) descriptions. We employ a two-species contact process in which the "biological clock" of one species is a factor of $\alpha$ slower than that of the other species. Our results provide new insights into how stochasticity and competition interact to determine extinction in finite spatial systems. We find that a species with a slower biological clock has an advantage if resources are limited, winning the competition against a species with a faster clock, in relatively small systems. Periodic or stochastic environmental variations also favor the slower species, even in much larger systems.Comment: Reviewed extended versio

Simulated emergence of cyclic sexual-asexual reproduction

Motivated by the cyclic pattern of reproductive regimes observed in some species of green flies (``{\it aphids}''), we simulate the evolution of a population enduring harsh seasonal conditions for survival. The reproductive regime of each female is also seasonal in principle and genetically acquired, and can mutate for each newborn with some small probability. The results show a sharp transition at a critical value of the survival probability in the winter, between a reproductive regime in the fall that is predominantly sexual, for low values of this probability, or asexual, for high values.Comment: 9 pages, 4 figures, requires RevTe

Fragmentation Experiment and Model for Falling Mercury Drops

The experiment consists of counting and measuring the size of the many fragments observed after the fall of a mercury drop on the floor. The size distribution follows a power-law for large enough fragments. We address the question of a possible crossover to a second, different power-law for small enough fragments. Two series of experiments were performed. The first uses a traditional film photographic camera, and the picture is later treated on a computer in order to count the fragments and classify them according to their sizes. The second uses a modern digital camera. The first approach has the advantage of a better resolution for small fragment sizes. The second, although with a poorer size resolution, is more reliable concerning the counting of all fragments up to its resolution limit. Both together clearly indicate the real existence of the quoted crossover. The model treats the system microscopically during the tiny time interval when the initial drop collides with the floor. The drop is modelled by a connected cluster of Ising spins pointing up (mercury) surrounded by Ising spins pointing down (air). The Ising coupling which tends to keep the spins segregated represents the surface tension. Initially the cluster carries an extra energy equally shared among all its spins, corresponding to the coherent kinetic energy due to the fall. Each spin which touches the floor loses its extra energy transformed into a thermal, incoherent energy represented by a temperature used then to follow the dynamics through Monte Carlo simulations. Whenever a small piece becomes disconnected from the big cluster, it is considered a fragment, and counted. The results also indicate the existence of the quoted crossover in the fragment-size distribution.Comment: 6 pages, 3 figure

Bit-String Models for Parasex

We present different bit-string models of haploid asexual populations in which individuals may exchange part of their genome with other individuals (parasex) according to a given probability. We study the advantages of this parasex concerning population sizes, genetic fitness and diversity. We find that the exchange of genomes always improves these features.Comment: 12 pages including 7 figure

Growth, Reform Indicators and Policy Complementaries

This paper discusses the design of structural policies by relating second-best results and the complementarity of reforms. It computes a complementarity index based on structural reform indicators compiled by the EBRD for transition countries, assuming that the run-up to EU integration corresponds to a nearly complete policy cycle. Using econometric panel estimates, the level of reforms and changes in their complementarity are found to be positively related to output growth, corrected for endogeneity, and given initial conditions and the extent of macroeconomic stabilisation.

Growth, Reform Indicators and Policy Complementarities.

In order to assess the growth implications of policy complementarities, this paper applies second-best results to reform indicators. During the transition from central planning to EU integration, which corresponds to a policy cycle, a complementarity index based on structural indicators compiled by the European Bank for Reconstruc- tion and Development (EBRD) decreases and then increases while the level of reforms tends to rise throughout. Corrected for initial conditions, the extent of macroeconomic stabilization and endogeneity, the level of reforms and changes in their complementarity are found to be positively related to output growth. The study uses panel data for 27 countries between 1989 and 2004.Second-best; complementarity; structural reforms; reform indicators; economic growth; transition; panel data;

Growth, Reform indicators and Policy complementarities

This paper discusses the design of structural policies by relating second-best results and the complementarity of reforms. It computes a complementarity index based on structural reform indicators compiled by the EBRD for transition countries, assuming that the run-up to EU integration corresponds to a nearly complete policy cycle. Using econometric panel estimates, the level of reforms and changes in their complementarity are found to be positively related to output growth, corrected for endogeneity, and given initial conditions and the extent of macroeconomic stabilisation.

Phase transition in a mean-field model for sympatric speciation

We introduce an analytical model for population dynamics with intra-specific competition, mutation and assortative mating as basic ingredients. The set of equations that describes the time evolution of population size in a mean-field approximation may be decoupled. We find a phase transition leading to sympatric speciation as a parameter that quantifies competition strength is varied. This transition, previously found in a computational model, occurs to be of first order.Comment: accepted for Physica