Showing papers in "Theoretical Population Biology in 1975"

TL;DR: The distribution is obtained for the number of segregating sites observed in a sample from a population which is subject to recurring, new, mutations but not subject to recombination, and applies approximately to three population models.

TL;DR: It is contended that there are many polygenic traits involving two or three main gene effects and many small effects and the consequences of constant selection forces acting on a one-locus two-allele monoecious random mating diploid population are well underlined.

TL;DR: Estimates of the degree of nonrandom association among genes (linkage disequilibrium) can provide evidence of the role of natural selection in maintaining allozyme polymorphisms in natural populations and the maximum likelihood procedures for such estimates based on gametic or zygotic frequencies at the level of two loci are outlined.

TL;DR: The generality of this formula is questioned and two alternative expressions for olij are proposed and it is suggested that the Lotka-Volterra model is not sufficient in an investigation of limiting similarity.

TL;DR: A diffusion approximation of BPRE is proposed to study the situation of a large population with small environmental variance and mean offspring size near one and the interplay between environmental and sampling variability.

TL;DR: The problems about regularly subdivided populations (with either finite or infinite number of subdivisions) may be unified by using Fourier or Laplace transforms and it is shown that some general theorems give approximate values of 1.

TL;DR: These tests of “treeness” can be used more generally to test if a loss of information is involved in using a tree as a formal representation of any particular set of data.

TL;DR: A more extensive table of the variance, as a function of mutation rate and population size, is given and also an approximating formula is given.

TL;DR: The expected frequency of heterozygotes in small subpopulations of dioecious organisms will exceed Hardy-Weinberg expectations and this can be measured by F IS and the values of F IS expected in three different types of population structure are discussed.

TL;DR: An analysis is undertaken for a finite random mating population of the linkage disequilibrium between two loci, at both of which all alleles are neutral, all mutant alleles differ from existing ones and several may be segregating at any time.

TL;DR: It is shown that increasing prey dispersal and decreasing predator dispersal do not necessarily have a stabilizing influence on the interaction, as had been concluded by previous workers.

TL;DR: The dependence of limits of populations on the harvest rate, the possibility of extinction in finite time, and the effect of the introduction of a time-lag delay on stability are studied.

TL;DR: The evolutionary fate of rare modifiers of recessive lethal segregation distorters has been studied and it is found that suppressors or partial suppressors will always increase in frequency and enhance if linkage is sufficiently tight.

TL;DR: It will be useful for the sake of translation as well as for that of clarity, to delineate the various situations in which geneticists are led to refer to “inbreeding.”

TL;DR: The main tool used to attain these results is Hilbert's notion of the projective metric as discussed by the authors, which provides a way of defining the distance between positive vectors in R n which has two important features: 1) The distance between any two positive vectors depends only on the rays on which the vectors lie; and 2) Positive matrices act as contractions in this metric.

TL;DR: The model incorporates genetic modification of meiotic drive and altered fertility in the carriers of the modified sex-ratio chromosomes and predicts that any increase in distortion of the sex ratio will be favored.

TL;DR: A mathematical model is formulated in which the current maternity behavior of a population is determined in terms of the past history of births in the population, and this model is used in predicting the character of the future birth trajectory for the population.

TL;DR: A linear model for population dynamics in a stationary stochastic environment is introduced based on linearizing the N -species Lotka-Volterra competition equations in discrete time and the end result depends critically on the cross-correlation scheme among the carrying capacities of the competing species.

TL;DR: This paper reviews two research areas in stochastic models of population dynamics and takes steps toward synthesizing generalized age-dependent branching processes, a class of models that shows promise of throwing more light on the classical mathematical demography of Lotka.

TL;DR: The purpose of the present paper is to demonstrate that a skewed distribution can be derived from a model of the behavior of man in terms of a random walk of the “Brownian motion type” and the resulting distribution is a K-distribution of the Bessel function.

TL;DR: The life table is the basis for a generalized population model, with immediate extension to a stable population differentiated by age, marriage and parity status, and computation of intrinsic rates of increase for a number of populations shows that adjustment for marriage accounts for most of the difference between the age-adjusted rate and the age-, marriage-, and parity- adjusted rate.

TL;DR: It is concluded that the criterion for polymorphism based on the geometric mean of the heterozygote being greater than that of both homozygotes provides only limited information about the fate of gene frequency.

TL;DR: The population effects of mating preferences for inherited traits is concerned with the case when the mating preferences are determined by the phenotype of relatives, such as parents or sibs, where the preference for the same phenotype as that of relatives usually leads to the fixation of either morph.

TL;DR: The purpose in this paper is to extend the range of available models by incorporating an additional feature of particular relevance to human populations, to derive certain latent roots for these models, and to report briefly on some simulation results pertinent to them.