Deborah Charlesworth

The genetic basis of inbreeding depression

Data on the effects of inbreeding on fitness components are reviewed in the light of population genetic models of the possible genetic causes of inbreeding depression. Deleterious mutations probably play a major role in causing inbreeding depression. Putting together the different kinds of quantitative genetic data, it is difficult to account for the very large effects of inbreeding on fitness in Drosophila and outcrossing plants without a significant contribution from variability maintained by selection. Overdominant effects of alleles on fitness components seem not to be important in most cases. Recessive or partially recessive deleterious effects of alleles, some maintained by mutation pressure and some by balancing selection, thus seem to be the most important source of inbreeding depression. Possible experimental approaches to resolving outstanding questions are discussed.

Mutation accumulation in finite outbreeding and inbreeding populations

We have carried out an investigation of the effects of various parameters on the accumulation of deleterious mutant alleles in finite diploid populations. Two different processes contribute to mutation accumulation. In random-mating populations of very small size and with tight linkage, fixation of mutant alleles occurs at a high rate, but decreases with extremely tight linkage. With very restricted recombination, the numbers of low-frequency mutant alleles per genome in randommating populations increase over time independently of fixation (Mullers ratchet). Increased population size affects the ratchet less than the fixation process, and the decline in population fitness is dominated by the ratchet in populations of size greater than about 100, especially with high mutation rates. The effects of differences in the selection parameters (strength of selection, dominance coefficient), of multiplicative versus synergistic selection, and of different amounts of inbreeding, are complex, but can be interpreted in terms of opposing effects of selection on individual loci and associations between loci. Stronger selection slows the accumulation of mutations, though a faster decline in mean fitness sometimes results. Increasing dominance tends to have a similar effect to greater strength of selection. High inbreeding slows the ratchet, because the increased homozygous expression of mutant alleles in inbred populations has effects similar to stronger selection, and because with inbreeding there is a higher initial frequency of the least loaded class. Fixation of deleterious mutations is accelerated in highly inbred populations. Even with inbreeding, sexual populations larger than 100 will probably rarely experience mutation accumulation to the point that their survival is endangered because neither fixation nor the ratchet has effects of the magnitude seen in asexual populations. The effects of breeding system and rate of recombination on the rate of molecular evolution by the fixation of slightly deleterious alleles are discussed.

The effect of recombination on background selection

An approximate equation is derived, which predicts the effect on variability at a neutral locus of background selection due to a set of partly linked deleterious mutations. Random mating, multiplicative fitnesses, and sufficiently large population size that the selected loci are in mutation/selection equilibrium are assumed. Given these assumptions, the equation is valid for an arbitrary genetic map, and for an arbitrary distribution of selection coefficients across loci. Monte Carlo computer simulations show that the formula performs well for small population sizes under a wide range of conditions, and even seems to apply when there are epistatic fitness interactions among the selected loci. Failure occurred only with very weak selection and tight linkage. The formula is shown to imply that weakly selected mutations are more likely than strongly selected mutations to produce regional patterning of variability along a chromosome in response to local variation in recombination rates. Loci at the extreme tip of a chromosome experience a smaller effect of background selection than loci closer to the centre. It is shown that background selection can produce a considerable overall reduction in variation in organisms with small numbers of chromosomes and short maps, such as Drosophila. Large overall effects are less likely in species with higher levels of genetic recombination, such as mammals, although local reductions in regions of reduced recombination might be detectable.

QUANTITATIVE GENETICS IN PLANTS: THE EFFECT OF THE BREEDING SYSTEM ON GENETIC VARIABILITY

The expected effects of breeding system on quantitative genetic variation under various models for the maintenance of such variation are examined, with particular emphasis on the contrast between randomly mating and highly self‐fertilizing populations. Estimates of quantitative genetic parameters from plant populations are reviewed. There is some evidence for reduced within‐population genetic variance in highly inbreeding populations, compared with outbreeders, but more empirical work appears necessary. Although the estimate of the magnitude of the effect of breeding system is subject to considerable error, the reduction in genetic variance in inbreeding populations appears greater than expected if the variation were maintained by overdominance, or if it were due to neutral mutations. It is more consistent with models involving mutation‐selection balance, although a rather larger reduction in genetic variance is estimated than is expected theoretically. We discuss some possible reasons for the lower level of genetic variance in selfers than is predicted by such models.

Some evolutionary consequences of deleterious mutations

Most mutations with observable phenotypic effects are deleterious. Studies of Drosophila and inbred plant populations suggest that a new individual may have a mean number of new deleterious mutations that exceeds one-half. Most of these have relatively small homozygous effects and reduce fitness by 1–2% when heterozygous. Several striking features of present-day organisms have apparently evolved in response to the constant input of deleterious alleles by recurrent mutation. For example, the adaptations of hermaphroditic organisms for outcrossing have been widely interpreted in terms of the benefits of avoiding the reduced fitness of inbred progeny, which is partly due to deleterious mutations. Population genetic models of modifiers of the breeding system in the presence of genome-wide deleterious mutation are reviewed and their predictions related to genetic and comparative data. The evolution of degenerate Y chromosomes is a phenomenon that may be caused by the accumulation of deleterious mutations. The population genetic mechanisms that can drive this degeneration are reviewed and their significance assessed in the light of available data.

An X-linked gene with a degenerate Y-linked homologue in a dioecious plant.

Most flowering plants are hermaphroditic, having flowers with both male and female parts. Less than 4% of plant species are dioecious (with individuals of separate sexes), and many of these species have chromosome-mediated sex determination. The taxonomic distribution of separate sexes and chromosomal sex-determination systems in the flowering plants indicates that plant sex chromosomes have evolved recently through replicated, independent events, contrasting with the ancient origins of mammalian and insect sex chromosomes. Plant sex chromosomes, therefore, offer opportunities to study the most interesting early stages of the evolution of sex chromosomes. Here we show that a gene encoding a male-specific protein is linked to the X chromosome in the dioecious plant Silene latifolia, and that it has a degenerate homologue in the non-pairing region of the Y chromosome. The Y-linked locus has degenerated as a result of nucleotide deletion and the accumulation of repetitive sequences. We have identified both the first X-linked gene and the first pair of homologous sex-linked loci to be found in plants. The homology between the active X-linked locus and the degenerate Y-linked locus supports a common ancestry for these two loci.

Rapid fixation of deleterious alleles can be caused by Muller's ratchet

Theoretical arguments are presented which suggest that each advance of Mullers ratchet in a haploid asexual population causes the fixation of a deleterious mutation at a single locus. A similar process operates in a diploid, fully asexual population under a wide range of parameter values, with respect to fixation within one of the two haploid genomes. Fixations of deleterious mutations in asexual species can thus be greatly accelerated in comparison with a freely recombining genome, if the ratchet is operating. In a diploid with segregation of a single chromosome, but no crossing over within the chromosome, the advance of the ratchet can be decoupled from fixation if mutations are sufficiently close to recessivity. A new analytical approximation for the rate of advance of the ratchet is proposed. Simulation results are presented that validate the assertions about fixation. The simulations show that none of the analytical approximations for the rate of advance of the ratchet are satisfactory when population size is large. The relevance of these results for evolutionary processes such as Y chromosome degeneration is discussed.

Multilocus models of inbreeding depression with synergistic selection and partial self-fertilization

Mean fitness and inbreeding depression values in multi-locus models of the control of fitness were studied, using both a model of mutation to deleterious alleles, and a model of heterozygote advantage. Synergistic fitness interactions between loci were assumed, to find out if this more biologically plausible model altered the conclusions we obtained previously using a model of multiplicative interactions. Systems of unlinked loci were assumed. We used deterministic computer calculations, and approximations based on normal or Poisson theory. These approximations gave good agreement with the exact results for some regions of the parameter space. In the mutational model, we found that the effect of synergism was to lower the number of mutant alleles per individual, and thus to increase the mean fitness, compared with the multiplicative case. Inbreeding depression, however, was increased. Similar effects on mean fitness and inbreeding depression were found for the case of heterozygote advantage. For that model, the results were qualitatively similar to those previously obtained assuming multiplicativity. With the mutational load model, however, the mean fitness sometimes decreased, and the inbreeding depression increased, at high selfing rates, after declining as the selfing rate increased from zero. We also studied the behaviour of modifier alleles that changed the selfing rate, introduced into equilibrium populations. In general, the results were similar to those with the multiplicative model, but in some cases an ESS selfing rate, with selfing slightly below one, existed. Finally, we derive an approximate expression for the inbreeding depression in completely selfing populations. This depends only on the mutation rate and the dominance coefficient and can therefore be used to obtain estimates of the mutation rate to mildly deleterious alleles for plant species.

The apparent selection on neutral marker loci in partially inbreeding populations

Deterministic computer calculations were used to investigate the effects on the fitnesses of genotypes at neutral loci that are caused by associations with several linked or unlinked selected loci, in partially self fertilizing populations. Both mutation to partially recessive alleles and heterozygote advantage at the selected loci were studied. In the heterozygote advantage models, either arbitrary linkage between all loci was modelled, with a single neutral locus, or many unlinked selected and neutral loci were modelled. Large apparent overdominance could be generated in all types of model studied. As has previously been suggested, these types of effect can explain the observed associations between fitness and heterozygosity in partially inbreeding populations. There were also apparent fitness differences between the genotypes at the neutral locus among the progeny produced by selfing, especially with linkage between the neutral and selected loci. There is thus no genotype-independent fitness value for these progeny. Marker based methods for estimating the relative fitness of selfed and outcrossed progeny assume equality of these fitnesses, and will therefore be inaccurate (with in most cases a bias towards overestimating the degree of inbreeding depression) when there is linkage between the neutral marker loci and loci determining fitness.

The effect of linkage and population size on inbreeding depression due to mutational load

Using a stochastic model of a finite population in which there is mutation to partially recessive detrimental alleles at many loci, we study the effects of population size and linkage between the loci on the population mean fitness and inbreeding depression values. Although linkage between the selected loci decreases the amount of inbreeding depression, neither population size nor recombination rate have strong effects on these quantities, unless extremely small values are assumed. We also investigate how partial linkage between the loci that determine fitness affects the invasion of populations by alleles at a modifier locus that controls the selfing rate. In most of the cases studied, the direction of selection on modifiers was consistent with that found in our previous deterministic calculations. However, there was some evidence that linkage between the modifier locus and the selected loci makes outcrossing less likely to evolve; more losses of alleles promoting outcrossing occurred in runs with linkage than in runs with free recombination. We also studied the fate of neutral alleles introduced into populations carrying detrimental mutations. The times to loss of neutral alleles introduced at low frequency were shorter than those predicted for alleles in the absence of selected loci, taking into account the reduction of the effective population size due to inbreeding. Previous studies have been confined to outbreeding populations, and to alleles at frequencies close to one-half, and have found an effect in the opposite direction. It therefore appears that associations between neutral and selected loci may produce effects that differ according to the initial frequencies of the neutral alleles.