Pradel’s (1996) temporal symmetry model permitting direct estimation and modelling of population growth rate, k i , provides a potentially useful tool for the study of population dynamics using marked animals. B ecause of its recent publication date, the approach has not seen much use, and there have been virtually no investigations directed at robustness of the resulting estimators. Here we co...

Predictors of random effects are usually based on the popular mixed effects model developed under the assumption that the sample is obtained from a conceptual infinite population; such predictors are employed even when the actual population is finite. Two alternatives that incorporate the finite nature of the population are obtained from the superpopulation model proposed by Scott and Smith (19...

The basic reproductive number, R0, provides a foundation for evaluating how various factors affect the incidence of infectious diseases. Recently, it has been suggested that, particularly for vector-transmitted diseases, R0 should be modified to account for the effects of finite host population within a single disease transmission generation. Here, we use a transmission factor approach to calcu...

In this article we consider a mixed fork–join synchronization Markovian queueing network consisting of two input buffers, B 1 and B 2 , fed by arrivals from two populations. The first is a finite population of size K and second population is infinite. The first population feeds the first buffer and the second population feeds the second finite buffer. As soon as there is one part in each buffer...

This paper studies the evolution of a proto-language in a finite population under the frequency-dependent Moran process. A proto-language can be seen as a collection of concept-to-sign mappings. An efficient proto-language is a bijective mapping from objects of communication to used signs and vice versa. Based on the comparison of fixation probabilities, a method for deriving conditions of evol...

The error threshold transition in a stochastic (i.e. finite population) version of the quasispecies model of molecular evolution is studied using finite-size scaling. For the single-sharp-peak replication landscape, the deterministic model exhibits a firstorder transition at Q = Qc = 1/a, where Q is the probability of exact replication of a molecule of length L → ∞, and a is the selective advan...

We consider finite-population and finite-capacity polling systems. The behavior of these systems is described by means of generalized stochastic Petri nets. The exact results for the mean response times are obtained numerically by means of the stochastic Petri net package. Finite population polling systems are generally difficult to analyze. Thus, one of the contributions of this paper is the f...

In this paper, we start research into using intervals to bound the impact of bounded measurement errors on the computation of bounds on finite population parameters (“descriptive statistics”). Specifically, we provide a feasible (quadratic time) algorithm for computing the lower bound σ on the finite population variance function of interval data. We prove that the problem of computing the upper...

An evolutionary game-theoretic analysis for a version of the p-beauty prize game is given for the two-player, finite population, and infinite population cases. Winning strategies are characterized in terms of iterative thinking relative to the population.