732 research outputs found
Statistical Analysis of Genealogical Trees for Polygamic Species
Repetitions within a given genealogical tree provides some information about
the degree of consanguineity of a population. They can be analyzed with
techniques usually employed in statistical physics when dealing with fixed
point transformations. In particular we show that the tree features strongly
depend on the fractions of males and females in the population, and also on the
offspring probability distribution. We check different possibilities, some of
them relevant to human groups, and compare them with simulations.Comment: 2 eps figs, Fig.2 changed to meet cond-mat size criteri
Four-state rock-paper-scissors games on constrained Newman-Watts networks
We study the cyclic dominance of three species in two-dimensional constrained
Newman-Watts networks with a four-state variant of the rock-paper-scissors
game. By limiting the maximal connection distance in Newman-Watts
networks with the long-rang connection probability , we depict more
realistically the stochastic interactions among species within ecosystems. When
we fix mobility and vary the value of or , the Monte Carlo
simulations show that the spiral waves grow in size, and the system becomes
unstable and biodiversity is lost with increasing or . These
results are similar to recent results of Reichenbach \textit{et al.} [Nature
(London) \textbf{448}, 1046 (2007)], in which they increase the mobility only
without including long-range interactions. We compared extinctions with or
without long-range connections and computed spatial correlation functions and
correlation length. We conclude that long-range connections could improve the
mobility of species, drastically changing their crossover to extinction and
making the system more unstable.Comment: 6 pages, 7 figure
Spontaneous emergence of spatial patterns ina a predator-prey model
We present studies for an individual based model of three interacting
populations whose individuals are mobile in a 2D-lattice. We focus on the
pattern formation in the spatial distributions of the populations. Also
relevant is the relationship between pattern formation and features of the
populations' time series. Our model displays travelling waves solutions,
clustering and uniform distributions, all related to the parameters values. We
also observed that the regeneration rate, the parameter associated to the
primary level of trophic chain, the plants, regulated the presence of
predators, as well as the type of spatial configuration.Comment: 17 pages and 15 figure
Computational inference in systems biology
Parameter inference in mathematical models of biological pathways, expressed as coupled ordinary differential equations (ODEs), is a challenging problem. The computational costs associated with repeatedly solving the ODEs are often high. Aimed at reducing this cost, new concepts using gradient matching have been proposed. This paper combines current adaptive gradient matching approaches, using Gaussian processes, with a parallel tempering scheme, and conducts a comparative evaluation with current methods used for parameter inference in ODEs
Synchronization and Stability in Noisy Population Dynamics
We study the stability and synchronization of predator-prey populations
subjected to noise. The system is described by patches of local populations
coupled by migration and predation over a neighborhood. When a single patch is
considered, random perturbations tend to destabilize the populations, leading
to extinction. If the number of patches is small, stabilization in the presence
of noise is maintained at the expense of synchronization. As the number of
patches increases, both the stability and the synchrony among patches increase.
However, a residual asynchrony, large compared with the noise amplitude, seems
to persist even in the limit of infinite number of patches. Therefore, the
mechanism of stabilization by asynchrony recently proposed by R. Abta et. al.,
combining noise, diffusion and nonlinearities, seems to be more general than
first proposed.Comment: 3 pages, 3 figures. To appear in Phys. Rev.
A Group-Based Yule Model for Bipartite Author-Paper Networks
This paper presents a novel model for author-paper networks, which is based
on the assumption that authors are organized into groups and that, for each
research topic, the number of papers published by a group is based on a
success-breeds-success model. Collaboration between groups is modeled as random
invitations from a group to an outside member. To analyze the model, a number
of different metrics that can be obtained in author-paper networks were
extracted. A simulation example shows that this model can effectively mimic the
behavior of a real-world author-paper network, extracted from a collection of
900 journal papers in the field of complex networks.Comment: 13 pages (preprint format), 7 figure
Modes of Growth in Dynamic Systems
Regardless of a system's complexity or scale, its growth can be considered to
be a spontaneous thermodynamic response to a local convergence of down-gradient
material flows. Here it is shown how growth can be constrained to a few
distinct modes that depend on the availability of material and energetic
resources. These modes include a law of diminishing returns, logistic behavior
and, if resources are expanding very rapidly, super-exponential growth. For a
case where a system has a resolved sink as well as a source, growth and decay
can be characterized in terms of a slightly modified form of the predator-prey
equations commonly employed in ecology, where the perturbation formulation of
these equations is equivalent to a damped simple harmonic oscillator. Thus, the
framework presented here suggests a common theoretical under-pinning for
emergent behaviors in the physical and life sciences. Specific examples are
described for phenomena as seemingly dissimilar as the development of rain and
the evolution of fish stocks.Comment: 16 pages, 6 figures, including appendi
The perfect mixing paradox and the logistic equation: Verhulst vs. Lotka
A theoretical analysis of density-dependent population dynamics in two patches sheds novel light on our understanding of basic ecological parameters. Firstly, as already highlighted in the literature, the use of the traditional r-K parameterization for the logistic equation (due to Lotka and Gause) can lead to paradoxical situations. We show that these problems do not exist with Verhulst's original formulation, which includes a quadratic âfrictionâ term representing intraspecific competition (parameter α) instead of the so-called carrying capacity K. Secondly, we show that the parameter α depends on the number of patches, or more generally on area. This is also the case of all parameters that quantify the interaction strengths between individuals, either of the same species or of different species. The consequence is that estimates of interaction strength will vary when population size is measured in absolute terms. In order to obtain scale-invariant parameter estimates, it is essential to express population abundances as densities. Also, the interaction parameters must be reported with all explicit units, such as (m2·individualâ1·dâ1), which is rarely the case
Phase transitions in social networks
We study a model of network with clustering and desired node degree. The
original purpose of the model was to describe optimal structures of scientific
collaboration in the European Union. The model belongs to the family of
exponential random graphs. We show by numerical simulations and analytical
considerations how a very simple Hamiltonian can lead to surprisingly
complicated and eventful phase diagram.Comment: 8 pages, 8 figure
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