The selection mutation equation

Fisher's Fundamental Theorem of Natural Selection is extended to the selection mutation model with mutation rates _ij=_ii.e. depending only on the target gene, by constructing a simple Lyapunov function. For other mutation rates stable limit cycles are possible.     

Recent advances in the protocols of transgenic mouse mutation assays

Transgenic mutation assays were developed to detect gene mutations in multiple organs of mice or rats. The assays permit (1) quantitative measurements of mutation frequencies in all tissues/organs including germ cells and (2) molecular analysis of induced and spontaneous mutations by DNA sequencing analysis. The protocols of recently developed selections in the lambda phage-based transgenic mutation assays, i.e. cII, Spi(-) and 6-thioguanine selections, are described, and a data set of transgenic mutation assays, including those using Big Blue and Muta Mouse, is presented.     

Reference site selection protocols for mine site ecosystem restoration

Reference site selection associated with mining and resource development requires a comprehensive approach so that stakeholders can be confident that restoration efforts have appropriate target ecosystems. Here, we present our process to select reference sites, within a savanna ecosystem, which will be used to develop and assess closure criteria and restoration guidelines for Ranger Mine (Northern Territory, Australia). The selection of reference sites followed five steps involving desktop and field methods. We recommend that restoration projects consider inclusion criteria, randomly select sites from areas matching the chosen criteria, conduct preliminary data analysis, estimate and update sampling effort and precision at several points throughout the project, and invite stakeholder feedback and revision of the process as often as required. This detailed reference site approach appears to be the first to demonstrate how to use available data to reduce bias, address sampling effort and site selection quantitatively, involve stakeholders, and provide useful data, which can be used to calibrate ecological restoration outcomes for savanna ecosystems.     

Generalized additive modeling with implicit variable selection by likelihood-based boosting

The use of generalized additive models in statistical data analysis suffers from the restriction to few explanatory variables and the problems of selection of smoothing parameters. Generalized additive model boosting circumvents these problems by means of stagewise fitting of weak learners. A fitting procedure is derived which works for all simple exponential family distributions, including binomial, Poisson, and normal response variables. The procedure combines the selection of variables and the determination of the appropriate amount of smoothing. Penalized regression splines and the newly introduced penalized stumps are considered as weak learners. Estimates of standard deviations and stopping criteria, which are notorious problems in iterative procedures, are based on an approximate hat matrix. The method is shown to be a strong competitor to common procedures for the fitting of generalized additive models. In particular, in high-dimensional settings with many nuisance predictor variables it performs very well.     

Genetic variability under mutation selection balance

A fundamental problem in evolutionary genetics is understanding how high levels of genetic variation in quantitative traits are maintained in natural populations. Variation is removed by the natural selection of individuals with optimal phenotypes and is recovered by mutation; however, previous analyses had indicated that a mutation-selection balance was insufficient to maintain observed levels of genetic variation in these traits. Using more general models, however, it has recently been shown that it is indeed a sufficient mechanism. These models can be used to explore other phenomena in evolutionary biology.     

Indirect thermal selection in Drosophila melanogaster and adaptive consequences

Summary Short-term indirect selection in Drosophila melanogaster for heat-sensitivity and heat resistance resulted in two strains, one heat sensitive and another heat resistant, and correlated responses were found for the rate of heat shock protein synthesis, behavioral patterns (asymmetrical sexual isolation) and fitness components (fecundity, fertility, viability, developmental time), as well as for several enzyme activities (MDH, G-6-PDH, ADH, ACHE). These responses associated with temperature selection may reflect the effects of differential inbreeding depression caused by homozygosity of temperature sensitive mutations with different pleiotropic effects. Selection even of a very short duration can induce significant adaptive and evolutionary changes.     

Clone selection and the mutation rate

A statistical model for mutation and selection is formulated for organisms that reproduce by division. The mutation rate that optimizes the probability of clone survival is approximated using the theory of branching processes. However, it is shown by example that this optimizing mutation rate need not be the most advantageous mutation rate. The principle that selection favors those modifying features that optimize the probability of clone survival is thereby shown to be of limited applicability.     

Indirect selection of bacterial plasmids lacking identifiable phenotypic properties.

A procedure is described that uses an indicator plasmid (pSC201) to identify cells in a bacterial population that have been co-transformed with a second plasmid lacking detectable phenotypic properties. Under appropriate conditions of indirect selection, between 50 and 85% of transformants carrying the indicator plasmid also contain the nonselected plasmid. A temperature-sensitive mutation in the replication functions of the indicator plasmid enables its elimination from doubly transformed bacteria. Using this procedure, we have isolated bacteria that carry only the small cryptic plasmid. P15A, of the Escherichia coli strain 15. This genetic element, which contains only 2,300 nucleotide pairs, is thus capable of functioning as a replicon independently of the two larger plasmids normally associated with it in E. coli 15 strains (Ikeda, Inuzuka, and Tomizawa, 1970).     

Beneficial mutation selection balance and the effect of linkage on positive selection

When beneficial mutations are rare, they accumulate by a series of selective sweeps. But when they are common, many beneficial mutations will occur before any can fix, so there will be many different mutant lineages in the population concurrently. In an asexual population, these different mutant lineages interfere and not all can fix simultaneously. In addition, further beneficial mutations can accumulate in mutant lineages while these are still a minority of the population. In this article, we analyze the dynamics of such multiple mutations and the interplay between multiple mutations and interference between clones. These result in substantial variation in fitness accumulating within a single asexual population. The amount of variation is determined by a balance between selection, which destroys variation, and beneficial mutations, which create more. The behavior depends in a subtle way on the population parameters: the population size, the beneficial mutation rate, and the distribution of the fitness increments of the potential beneficial mutations. The mutation-selection balance leads to a continually evolving population with a steady-state fitness variation. This variation increases logarithmically with both population size and mutation rate and sets the rate at which the population accumulates beneficial mutations, which thus also grows only logarithmically with population size and mutation rate. These results imply that mutator phenotypes are less effective in larger asexual populations. They also have consequences for the advantages (or disadvantages) of sex via the Fisher-Muller effect; these are discussed briefly.     

Indirect selection of thermal tolerance during experimental evolution of Drosophila melanogaster

Natural selection alters the distribution of a trait in a population and indirectly alters the distribution of genetically correlated traits. Long‐standing models of thermal adaptation assume that trade‐offs exist between fitness at different temperatures; however, experimental evolution often fails to reveal such trade‐offs. Here, we show that adaptation to benign temperatures in experimental populations of Drosophila melanogaster resulted in correlated responses at the boundaries of the thermal niche. Specifically, adaptation to fluctuating temperatures (16–25°C) decreased tolerance of extreme heat. Surprisingly, flies adapted to a constant temperature of 25°C had greater cold tolerance than did flies adapted to other thermal conditions, including a constant temperature of 16°C. As our populations were never exposed to extreme temperatures during selection, divergence of thermal tolerance likely reflects indirect selection of standing genetic variation via linkage or pleiotropy. We found no relationship between heat and cold tolerances in these populations. Our results show that the thermal niche evolves by direct and indirect selection, in ways that are more complicated than assumed by theoretical models.     

Indirect selection and individual selection in sociobiology: my personal views on theories of social behaviour

This is the story of my involvement in sociobiological studies. I first discuss group selection models, which were common in the 1950s. I then move on to kin selection and reciprocity models, which were developed to replace group selection models and are still being used by many sociobiologists, even though I argue that they contain the same weaknesses that led group selection to be rejected. As an alternative, I present the handicap principle, an essential component in all signalling. The handicap principle is useful in understanding many components of social systems, not the least of which is why individuals invest in the benefit of other members of a social system (altruism). Copyright 2003 Published by Elsevier Science Ltd on behalf of The Association for the Study of Animal Behaviour.     

A genetic model with mutation and selection

Two deterministic models of a multiallele population in which mutation and selection both operate are considered, and formulae for the gene frequencies are obtained. Both models are of a diploid population in which selection is additive and mutation is general; generations are discrete and nonoverlapping. In the first model, the stationary solution of the discrete equations is found. In the second, the discrete time process is approximated by a continuous time one, and the resulting differential equations are solved. The transient case for two alleles is solved explicitly, and the results are graphed. An application is given to sequences of sites.     

Apparent directional selection by biased pleiotropic mutation

Pleiotropic effects of deleterious mutations are considered to be among the factors responsible for genetic constraints on evolution by long-term directional selection acting on a quantitative trait. If pleiotropic phenotypic effects are biased in a particular direction, mutations generate apparent directional selection, which refers to the covariance between fitness and the trait owing to a linear association between the number of mutations possessed by individuals and the genotypic values of the trait. The present analysis has shown how the equilibrium mean value of the trait is determined by a balance between directional selection and biased pleiotropic mutations. Assuming that genes act additively both on the trait and on fitness, the total variance-standardized directional selection gradient was decomposed into apparent and true components. Experimental data on mutation bias from the bristle traits of Drosophila and life history traits of Daphnia suggest that apparent selection explains a small but significant fraction of directional selection pressure that is observed in nature; the data suggest that changes induced in a trait by biased pleiotropic mutation (i.e., by apparent directional selection) are easily compensated for by (true) directional selection.     

Amplification, mutation and selection of catalytic RNA

RNA, by virtue of its genotypic and phenotypic properties, is a suitable substrate for molecular evolution in the laboratory. We have developed techniques for the rapid amplification, mutation and selection of catalytic RNA. By combining these techniques in an iterative fashion, we are attempting to construct an RNA-based evolving system. Such a system could be used to explore the catalytic potential of RNA.     

Evidence that natural selection acts on silent mutation

Analysis of nucleic acid sequence data of mammalian hemoglobin, yeast cytochrome c, and human interferon reveals strong biases in favor of specific codons. These biases do not appear to dissipate over time, suggesting that an indirect form of selection acts on silent mutations. The data are compatible with the “bootstrapping” hypothesis that silent mutations which alter the rate of evolution can hitchhike with traits whose appearance they facilitate. Selection involving modulating effects of codon usage on gene expression may also be involved, but the data appear to exclude simple maximization of gene expression.     

Reducing mutation load through sexual selection on males

Mutation load is a key parameter in evolutionary theories, but relatively little empirical information exists on the mutation load of populations, or the elimination of this load through selection. We manipulated the opportunity for sexual selection within a mutation accumulation divergence experiment to determine how sexual selection on males affected the accumulation of mutations contributing to sexual and nonsexual fitness. Sexual selection prevented the accumulation of mutations affecting male mating success, the target trait, as well as reducing mutation load on productivity, a nonsexual fitness component. Mutational correlations between mating success and productivity (estimated in the absence of sexual selection) were positive. Sexual selection significantly reduced these fitness component correlations. Male mating success significantly diverged between sexual selection treatments, consistent with the fixation of genetic differences. However, the rank of the treatments was not consistent across assays, indicating that the mutational effects on mating success were conditional on biotic and abiotic context. Our experiment suggests that greater insight into the genetic targets of natural and sexual selection can be gained by focusing on mutational rather than standing genetic variation, and on the behavior of trait variances rather than means.     

Sexual selection does not influence minisatellite mutation rate

Background  

Moller and Cuervo report a significant trend between minisatellite mutation rate and the frequency of extra-pair copulations in birds. This is interpreted as evidence that the high rate of evolution demanded by sexual selection has itself selected for a higher mutation rate in species where selection is strongest. However, there are good a priori reasons for believing that their method of calculating minisatellite mutation rates will be highly error prone and a poor surrogate measure of the evolutionary rate of genes. I therefore attempted to replicate their results using both their data and an independent data set based on papers they failed to locate.