Showing papers in "Theoretical Population Biology in 2005"

TL;DR: The differences between mass-action and network-based models are investigated to determine when mass- action models are a reliable tool, and suggest ways in which their behaviour should be refined.

TL;DR: The starting point is a selection-mutation equation describing the adaptive dynamics of a quantitative trait under the influence of an ecological feedback loop based on the assumption of small (but frequent) mutations, which is derived from a Hamilton-Jacobi equation.

TL;DR: By combining mathematical analysis with numerical simulation, it is shown that the Allee effect may be a destabilizing force in predator-prey systems: the equilibrium point of the system could be changed from stable to unstable or otherwise, the system, even when it is stable, will take much longer time to reach the stable state.

TL;DR: By studying two limiting cases of the two-phase model, it is shown that residence in the immobile state always enhances population persistence, and a number of mechanisms previously proposed in the ecological literature as resolutions of the drift paradox are evaluated.

TL;DR: This article uses the multilinear epistatic model to study the effects of different forms of epistasis on the response to directional selection, and derives an analytical prediction for the change in the additive genetic variance, and uses individual-based simulations to understand the dynamics of evolvability.

TL;DR: The mathematical relationship between environmental temperatures and developmental timing is reviewed and applications of these techniques have not been widely explored by the applied math community, but are likely to provide great insight into the response of biological systems to climate change.

TL;DR: It is demonstrated that the elimination of categories is retained when quadratic entropy is applied to ultrametric dissimilarities, and all categories are retained in order to reach its maximal value.

TL;DR: This work explores theoretically how species permanence in tri-trophic systems is affected if the omnivore forages adaptively according to the "diet rule", i.e., feeds on the less profitable of its two prey species only if the more profitable one is sufficiently rare.

TL;DR: The measure dynamics approach to modelling single-species coevolution with a one-dimensional trait space is developed and compared to more traditional methods of adaptive dynamics and the Maximum Principle.

TL;DR: TPs are shown to be versatile and useful in managing renewable resources, being simple to design and implement, and also yielding advantages in situations of overexploitation.

TL;DR: For mixed strategies in finite populations, long-term stability is defined with respect to the probability of fixation of a mutant under weak selection using a diffusion approximation of the Wright-Fisher model or exact solutions for the Moran model.

TL;DR: The goal of this paper is to formulate a class of models based on partial differential equations whose equilibria are solutions to a version of the ideal-free distribution set in continuous space that can be compared with or incorporated into other sorts of dynamic models such as reaction-diffusion systems.

TL;DR: It is established that colour in stochastic forcing can have a major impact, by enhancing resonance and by greater redistribution of power, which can mean a higher risk of extinction through larger fluctuations in population numbers and a higher degree of synchrony between populations.

TL;DR: The results suggest that it may be common for a stable predator population to increase in abundance as its own mortality rate increases in stable systems, provided that the predator has a saturating functional response.

TL;DR: A new approximation of the marginal distribution of infected individuals in quasi-stationarity is presented, which leads to a simple explicit expression for an approximation ofThe critical community size in terms of model parameters.

TL;DR: An importance sampling algorithm for computing the likelihood of a sample of genes at loci under a stepwise mutation model in a subdivided population is developed, which allows maximum likelihood estimation of migration rates between subpopulations.

TL;DR: Ewens' sampling formula, the probability distribution of a configuration of alleles in a sample of genes under the infinitely-many-alleles model of mutation, is proved by a direct combinatorial argument and the distribution is extended to a model where the population size may vary back in time.

TL;DR: Families of kernels on integer lattices with asymptotically radially symmetric kernels constructed by randomizing convolutions of stepping-stone kernels and have interpretations in terms of population heterogeneity and heterogeneous physical processes are developed.

TL;DR: This study found that, in contrast to moderate auto-correlation, the extinction risk was highly dependent on the process of noise generation, in particular on the method of variance scaling, and presents an alternative scaling method that always delivers the target variance, even in the case of strong auto-Correlation.

TL;DR: A method for computing the tensors at the given resolution, in relation to the landscape and the insects' species and a method for the numerical solution of the equations are proposed and two applications are presented.

TL;DR: An integrodifference host-parasitoid model is presented to study how the critical habitat-size necessary for parasitoid survival changes in response to Parasitoid life history traits, such as emergence time, and shows that early emerging parasitoids may be able to persist in smaller habitats than late emerging species.

TL;DR: A data generation method where an ancestral graph with non-overlapping generations is first generated backwards in time, using ideas from coalescent theory, and the gene flow over the entire genome is simulated forwards in time by dropping alleles down the graph according to recombination model without interference.

TL;DR: The authors studied the conditions under which a population can maintain adaptations to a particular region when that region is not stationary, but can move and found that the ratio of oasis-adapted individuals to desertadapted ones exhibits sharp transitions at particular oasis velocities.

TL;DR: The results show that speciation by the learning of habitat features is an extremely effective mechanism and, furthermore, it is very general: for a large class of models there is selection toward producing young more frequently in the natal habitat.

TL;DR: It is shown that under well-specified conditions a modifying allele that increases epistasis succeeds and genetic interactions tend to become stronger because the mean fitness in such models is locally increasing as a function of the degree of epistasis.

TL;DR: A haploid model of frequency-dependent selection and assortative mating is introduced and analyzed for the case of a single multiallelic autosomal locus and global stability properties are obtained by finding a Lyapunov function in the limit of weak selection.

TL;DR: The model is modified here in order to take into account the difference of photosynthesis use efficiency when energy is accumulated in the vegetative and in the reproductive organs of a plant, respectively, and the simple assumption on correlation between photosynthesis and temperature permits us to modify the model in a form that is useful for changing climate.

TL;DR: A bet-hedging model with density dependence for germination behavior of dormant seeds is considered and how to compute accurate values of the evolutionary stable germination fraction using a method based on expansion around the average seed bank size is shown.

TL;DR: This work analytically shows that tension and ecological zones can be distinguished in terms of genetic statistics other than gene frequency, and enhances the difference between the deviations from HWE and from RAG for any two-locus genotypic frequency.