MULLER'S RATCHET AND THE ADVANTAGE OF SEX IN THE RNA VIRUS ϟ6

Population genetic models have shown that if genetic drift is strong and the rate of deleterious mutations is high, Muller's ratchet provides an advantage to sex. A previous study tested for the possibility that Muller's ratchet could work in RNA viruses, which are known to have very high mutation rates. Muller's ratchet was found to operate when lineages of the RNA bacteriophage φ6 were subjected to intensified genetic drift. The study did not determine, however, whether sex is advantageous to these viruses. We have examined whether sex can reverse the effects of Muller's ratchet by crossing nine φ6 lineages that were subjected to the ratchet in Chao's study. To determine whether there was a net advantage to sex, we analyzed the effect of crossing three lineages to all other lineages. Crossing increased significantly the fitness of two lineages, but it did not significantly affect the fitness of the third lineage. We argue that the minimal advantage of sex to these nine lineages is small, but positive. These results provide a possible scenario for the evolution of sex in an RNA phage like φ6.     

QUANTITATIVE VARIATION IN FINITE PARTHENOGENETIC POPULATIONS: WHAT STOPS MULLER'S RATCHET IN THE ABSENCE OF RECOMBINATION?

Finite parthenogenetic populations with high genomic mutation rates accumulate deleterious mutations if back mutations are rare. This mechanism, known as Muller's ratchet, can explain the rarity of parthenogenetic species among so called higher organisms. However, estimates of genomic mutation rates for deleterious alleles and their average effect in the diploid condition in Drosophila suggest that Muller's ratchet should eliminate parthenogenetic insect populations within several hundred generations, provided all mutations are unconditionally deleterious. This fact is inconsistent with the existence of obligatory parthenogenetic insect species. In this paper an analysis of the extent to which compensatory mutations can counter Muller's ratchet is presented. Compensatory mutations are defined as all mutations that compensate for the phenotypic effects of a deleterious mutation. In the case of quantitative traits under stabilizing selection, the rate of compensatory mutations is easily predicted. It is shown that there is a strong analogy between the Muller's ratchet model of Felsenstein (1974) and the quantitative genetic model considered here, except for the frequency of compensatory mutations. If the intensity of stabilizing selection is too small or the mutation rate too high, the optimal genotype becomes extinct and the population mean drifts from the optimum but still reaches a stationary distribution. This distance is essentially the same as predicted for sexually reproducing populations under the same circumstances. Hence, at least in the short run, compensatory mutations for quantitative characters are as effective as recombination in halting the decline of mean fitness otherwise caused by Muller's ratchet. However, it is questionable whether compensatory mutations can prevent Muller's ratchet in the long run because there might be a limit to the capacity of the genome to provide compensatory mutations without eliminating deleterious mutations at least during occasional episodes of sex.     

FORAGING TRAIT (CO)VARIANCES IN STICKLEBACK EVOLVE DETERMINISTICALLY AND DO NOT PREDICT TRAJECTORIES OF ADAPTIVE DIVERSIFICATION

How does natural selection shape the structure of variance and covariance among multiple traits, and how do (co)variances influence trajectories of adaptive diversification? We investigate these pivotal but open questions by comparing phenotypic (co)variances among multiple morphological traits across 18 derived lake‐dwelling populations of threespine stickleback, and their marine ancestor. Divergence in (co)variance structure among populations is striking and primarily attributable to shifts in the variance of a single key foraging trait (gill raker length). We then relate this divergence to an ecological selection proxy, to population divergence in trait means, and to the magnitude of sexual dimorphism within populations. This allows us to infer that evolution in (co)variances is linked to variation among habitats in the strength of resource‐mediated disruptive selection. We further find that adaptive diversification in trait means among populations has primarily involved shifts in gill raker length. The direction of evolutionary trajectories is unrelated to the major axes of ancestral trait (co)variance. Our study demonstrates that natural selection drives both means and (co)variances deterministically in stickleback, and strongly challenges the view that the (co)variance structure biases the direction of adaptive diversification predictably even over moderate time spans.     

STRUCTURAL INVESTIGATIONS OF ASEXUAL REPRODUCTION IN NEPHROLEPIS EXALTATA AND PLATYCERIUM BIFURCATUM

Nephrolepis exaltata cv. Bostoniensis, the Boston fern, exhibits extreme stem dimorphism. The plant has orthotropic, dictyostelic shoots which bear pinnatifid leaves and plagiotropic, protostelic stolons which are aphyllous. Vegetative reproduction occurs by budding from primary and secondary stolons. Secondary stolons arise exogenously from derivatives of the apical cell of the primary stolon, whereas root primordia develop endogenously. Shoots develop in vivo when a creeping stolon makes contact with the substrate via extensive root proliferation. When stolon segments are excised and grown in vitro, secondary stolon primordia expand and initiate leaf primordia, forming new leafy shoots. In Platycerium bifurcatum, the staghorn fern, asexual propagation occurs on ageotropic roots ramifying among the basal nest fronds. Root bud initiation is marked by root tip hypertrophy following cortical parenchyma expansion. Root apical cell derivatives produce the bud apex; the root apical cell remains separate from the developing root bud. Superficially, vegetative reproduction in Nephrolepis and Platycerium appears to involve unusual organs. However, both ferns exhibit leafy bud development from distinct sites of origin, not from undetermined primordia or from direct transformation of root to shoot. Thus, distinctness of organ types is maintained in these two ferns and no evidence for interconvertibility of organ types has been found.     

EVOLUTIONARY RESCUE OF SEXUAL AND ASEXUAL POPULATIONS IN A DETERIORATING ENVIRONMENT

The environmental change experienced by many contemporary populations of organisms poses a serious risk to their survival. From the theory of evolutionary rescue, we predict that the combination of sex and genetic diversity should increase the probability of survival by increasing variation and thereby the probability of generating a type that can tolerate the stressful environment. We tested this prediction by comparing experimental populations of Chlamydomonas reinhardtii that differ in sexuality and in the initial amount of genetic diversity. The lines were serially propagated in an environment where the level of stress caused by salt increased over time from fresh water to the limits of marine conditions. In the long term, the combination of high diversity and obligate sexuality was most effective in supporting evolutionary rescue. Most of the adaptation to high‐salt environments in the obligate sexual‐high diversity lines had occurred by midway through the experiment, indicating that positive genetic correlations of adaptation to lethal stress with adaptation to sublethal stress greatly increased the probability of evolutionary rescue. The evolutionary rescue events observed in this study provide evidence that major shifts in ways of life can arise within short time frames through the action of natural selection in sexual populations.     

FIXATION OF MUTATORS IN ASEXUAL POPULATIONS: THE ROLE OF GENETIC DRIFT AND EPISTASIS

We study the evolutionary dynamics of an asexual population of nonmutators and mutators on a class of epistatic fitness landscapes. We consider the situation in which all mutations are deleterious and mutators are produced from nonmutators continually at a constant rate. We find that in an infinitely large population, a minimum nonmutator‐to‐mutator conversion rate is required to fix the mutators but an arbitrarily small conversion rate results in the fixation of mutators in a finite population. We calculate analytical expressions for the mutator fraction at mutation‐selection balance and fixation time for mutators in a finite population when the difference between the mutation rate for mutator and nonmutator is smaller (regime I) and larger (regime II) than the selection coefficient. Our main result is that in regime I, the mutator fraction and the fixation time are independent of epistasis but in regime II, mutators are rarer and take longer to fix when the decrease in fitness with the number of deleterious mutations occurs at an accelerating rate (synergistic epistasis) than at a diminishing rate (antagonistic epistasis). Our analytical results are compared with numerics and their implications are discussed.