Random mating and random union of gametes models for finite dioecious populations

This paper compares a random mating model for independent trials with two random union of gametes models in the case when the population is finite and dioecious. The first random union of gametes model is examined as a two-locus dioecious model with unequal recombination values in each sex, which is a generalization of previous work. The second model can be of some biological use under certain circumstances, and it is easier to analyse (when appropriate) than the first. It is examined with and without mutation to obtain both old and new results about the fixation probabilities (in the multilocus case) and the related rates in the autosomal locus case.     

Linkage and inbreeding coefficients in a finite random mating population

The notion of inbreeding coefficient associated with one single locus introduced by G. Malecot can be extended to two loci. For a panmictic model with separate generation the recurrence equations are given therein allowing to calculate the coefficients in the event of migration and mutation, or loss of kinship.Hence it is derived particularly that the limit genetic distance of two groups associated with two loci is, under specific hypotheses, little different from the sum of marginal genetic distances.For an isolat this paper studies, in terms of crossing over, mutations, and population size, the evolution of the inbreading coefficients of order 2 and especially the difference of this evolution from the evolution to independence of the two loci.     

Random number generators for microcomputers

The feasibility of random number generation using microcomputers is discussed and the appropriateness of alternative algorithms is evaluated on the basis of several criteria of statistical randomness. The relative deficiencies of each algorithm are cited and a modified Fibonacci generator is recommended for use in the microcomputer environment.     

Random mating in a boreal population of European common frogs Rana temporaria

A breeding population of European common frogs Rana temporaria was studied during six springs. Male and female body length varied significantly between years. Females averaged 6 mm longer than males. Amplectant males did not differ significantly from non-amplectant males in body or leg length. No significant correlation was found in body or leg length between males and females in amplectant pairs at any time of the breeding season.     

Transposable element number in mixed mating populations

Theoretical population genetic studies of transposable elements focus almost exclusively on random mating species, whereas many plants reproduce through partial or substantial self-fertilization. Here I develop computer simulation and analytic approximations of simplified element dynamics (transposition balanced by selective elimination) in partially self-fertilizing populations, using Ty1-copia elements for biological inspiration. Under the most plausible models and parameter values, element numbers decrease with self-fertilization when element insertions are deleterious, but may increase when ectopic exchange regulates element number. Conclusions for models of ectopic exchange depend in part on parameters for which little firm empirical evidence is available. Small changes in selfing rate can lead to abrupt changes in element number when homozygous and heterozygous elements have markedly different fitness effects. Equilibrium element numbers can be sensitive to population size, especially at high selfing rates. Elements are frequently lost in small highly selfing populations under the deleterious insertion model. In contrast, small highly selfing populations can accumulate very large numbers of elements under ectopic exchange. Empirical data on element number and localization in plants with different mating systems suggests that deleterious insertion, rather than ectopic exchange, may regulate element number. Limitations to available empirical data, especially the lack of comparison between closely related species differing in mating system, mean that this conclusion is tentative.     

Genetic pollution and number of matings in a black honey bee (Apis mellifera mellifera) population

Summary In the south-east of France, local honey bees possess only the B allele at the MDH locus, whereas the races which are usually imported into this area do not have this allele. The proportion of non-B genes in a sample of drones was used to measure the genetic pollution in the local population. Within the course of a breeding scheme of local bees, 99 queens, whose genotypes are BB, were naturally mated between April 25 and June 10, 1985 at la Tave (Gard, France). Twenty daughters-workers of each queen were analysed at the MDH locus. The frequency of the B allele in drones that mated with these queens is estimated by the proportion of workers with genotype BB and the genetic pollution by the cumulated frequency of the other alleles. The sampling variances of these frequencies involve a coefficient which is a function of the average number of drones mated with a queen. This latter parameter is estimated through the maximum likelihood method. In addition to the three well-known alleles, a rare allele (frequency=0.0055), possibly equivalent to the S1 allele described by Badino et al. (1983), has been found in three different colonies. Cumulating the frequencies of the non-B alleles results in an estimation of the genetic pollution equal to 0.0394 (±0.0071). This low value allows us to proceed to the next step of the selection project. The mean number of drones mated to a queen is 12.4 with a (10.4–19.3) confidence interval at the 90% level.     

Frequency dependence in matings with water-borne sperm

Negative frequency-dependent mating success--the rare male effect--is a potentially powerful evolutionary force, but disagreement exists as to whether previous work, focusing on copulating species, has robustly demonstrated this phenomenon. Noncopulating sessile organisms that release male gametes into the environment but retain their eggs for fertilization may routinely receive unequal mixtures of sperm. Although promiscuity seems unavoidable it does not follow that the resulting paternity obeys 'fair raffle' expectations. This study investigates frequency dependence in the mating of one such species, the colonial ascidian Diplosoma listerianum. In competition with an alternative sperm source males fathered more progeny if previously mated to a particular female than if no mating history existed. This suggests positive frequency-dependent selection, but may simply result from a mate order effect involving sperm storage. With fewer acclimation matings, separated by longer intervals, this pattern was not found. When, in a different experimental design, virgin females were given simultaneous mixtures of gametes at widely divergent concentrations, sperm at the lower frequency consistently achieved a greater than expected share of paternity--a rare male effect. A convincing argument as to why D. listerianum should favour rare sperm has not been identified, as sperm rarity is expected to correlate very poorly with ecological or genetic male characteristics in this pattern of mating. The existence of nongenetic female preferences at the level of colony modules, analogous in effect to fixed female preferences, is proposed. If visible to selection, indirect benefits from increasing the genetic diversity of a sibship appear the only likely explanation of the rare male effect in this system as the life history presents virtually no costs to multiple mating, and a near absence of direct (resource) benefits, whereas less controversial hypotheses of female promiscuity (e.g. trade up, genetic incompatibility) do not seem appropriate.     

Theory of exciton annihilation in complexes of a finite number of molecular sites

A theory of the kinematics of singlet exciton annihilation in complexes of a finite number of molecular sites is developed. The theory is based on a specific scheme suggested earlier by Gülen, Wittmershaus, and Knox [Biophys J. 49:469-477 (1986)]. It is adequate to address the excitation kinetics and dynamics in such systems, especially under high excitation intensities. A Pauli master equation is formulated and is solved to give explicit expressions for observables such as quantum yield and fluorescence intensity. The excitation intensity dependence of the observables is taken into account by introducing Poisson statistics. Details relevant to its application to the annihilation of excitons in photosynthetic systems and its connection to earlier theories are presented.     

Preferential mating. Nonrandom mating of a continuous phenotype

A phenotypically determined nonrandom mating model is specified for a continuous trait controlled by a major gene. The distribution of phenotypic preferences of any particular individual choosing a mate may be specified in terms of the phenotype of the individual. The relative mating frequency is dependent on the frequency of the genotypes. Conditions for equilibria, polymorphic and degenerate, are given for a series of analytical and numerical cases. Certain classical nonrandom mating models for discrete phenotypes are special cases of the preferential mating model. However, other discrete phenotypic models do not have parallels because either the intergenotypic relationships are not geometrically consistent or the selective and assortative properties are not phenotypically consistent.     

F- mating materials able to generate a mating signal in mating with HfrH dnaB(Ts) cells.

The purified outer membrane from F- (W1-3) cells was shown to inhibit mating effectively, but the purified cytoplasmic (inner) membrane did not. These membranes, heat-treated minicells, and ultraviolet-irradiated minicells were examined for their ability to generate a mating signal at 43 degrees C in mating with HfrH dnaB(Ts) cells. The outer and inner membranes and heat-treated minicells all failed to stimulate incorporation of radioactive thymine; only ultraviolet-irradiated minicells retained the ability to generate a mating signal for the donor to initiate transfer replication.