An analysis of learned kin recognition in hymenoptera

A model is developed to explain data on the probability with which a strange conspecific hymenopteran female will be accepted into a group of sisters. The analysis is based on a genetic labeling system (primarily odors) of m loci and n_i equally frequent alleles at the i-th locus (i = 1,…, m). Three recognition mechanisms are considered (viz: genotype recognition; foreign-label rejection; and habituated-label acceptance) where all three mechanisms depend on individuals learning the labels represented in their group. The probability with which non-kin will be accepted into large sibling group is calculated for a number of different labeling systems. These different labeling systems are compared and a comparision is also made between the three recognition mechanisms mentioned above. A general expression is then derived, in terms of the number of loci and alleles in the labeling system and the size of the sibling group, for the probability with which “strang” sisters are accepted into a group of sisters with whom they have had no prior contact. These results are applied to existing data on the primitively eusocial sweat bee Lasioglossum zephyrum and the present indication is that recognition in L. zephyrum can be modeled by foreign-label rejection with a genetic labeling system of four or five loci with eight to ten alleles in total (i.e. each locus will have two or at most three alleles).     

COMPLEMENTARY SEX DETERMINATION IN HYMENOPTERAN PARASITOIDS AND ITS IMPLICATIONS FOR BIOLOGICAL CONTROL

Abstract In haplodiploid Hymenoptera, unfertilized eggs produce haploid males while fertilized eggs lead to diploid females under most circumstances. Diploid males can also be produced from fertilization under a system of sex determination known as complementary sex determination (CSD). Under single-locus CSD, sex is determined by multiple alleles at a single sex locus. Individuals heterozygous at the sex locus are female while hemizygous and homozygous individuals develop as haploid and diploid males, respectively. In multiple-locus CSD, two or more loci, each with two or more alleles, determine sex. Diploid individuals are female if one or more sex loci are heterozygous, while a diploid is male only if homozygous at all sex loci. Diploid males are known to occur in 43 hymenopteran species and single-locus CSD has been demonstrated in 22 of these species. Diploid males are either developmentally inviable or sterile, so their production constitutes a genetic load. Because diploid male production is more likely under inbreeding, CSD is a form of inbreeding depression. It is crucial to preserve the diversity of sex alleles and reduce the loss of genetic variation in biological control. In the parasitoid species with single-locus CSD, certain precautionary procedures can prevent negative effects of single-locus CSD on biological control.     

膜翅目寄生蜂的互补性别决定机制及其在生防上的意义(英文)

在膜翅目中 ,未受精卵形成单倍体的雄蜂 ,而在大多数情况下受精卵将产生双倍体的雌蜂。但是 ,因互补性别决定机制 (CSD)的作用 ,受精卵有时也会产生双倍体雄蜂。这种性别决定机制包括单位点的CSD和多位点的CSD。在单位点的CSD作用下 ,唯一的一个性位点上的多个等位基因决定后代个体的性别。性位点上杂合的个体将是雌性 ,半合或同型结合的个体将分别形成单倍体或双倍体的雄性。在多位点的CSD作用下 ,两个或两个以上的性位点控制后代的性别 ,每个性位点上包含两个或两个以上的等位基因。如果一个或一个以上的性位点是杂合的 ,形成的双倍体后代都是雌性的 ,但若是所有的性位点都为同型合子 ,则将产生双倍体的雄蜂。在膜翅目中 ,目前已知 4 3种具有双倍体雄蜂 ,其中 2 2种发现存在单位点的CSD ,但是多位点的CSD还有待于确认。双倍体的雄性个体或者不能存活 ,或者不育 ,这样的个体形成将对寄生蜂种群的增长带来一定的遗传负担。在生物防治上 ,保护寄生蜂种群的性等位基因的多样性及减少其遗传多异性的损失极其重要。如果利用具有单位点CSD的种类 ,采取一定的措施将可避免由于双倍体雄性的形成所带来的负面影响。     

Modelling survival and allele complementation in the evolution of genomes with polymorphic loci

We have simulated the evolution of sexually reproducing populations composed of individuals represented by diploid genomes. A series of eight bits formed an allele occupying one of 128 loci of one haploid genome (chromosome). The environment required a specific activity of each locus, this being the sum of the activities of both alleles located at the corresponding loci on two chromosomes. This activity is represented by the number of bits set to zero. In a constant environment the best fitted individuals were homozygous with alleles’ activities corresponding to half of the environment requirement for a locus (in diploid genome two alleles at corresponding loci produced a proper activity). Changing the environment under a relatively low recombination rate promotes generation of more polymorphic alleles. In the heterozygous loci, alleles of different activities complement each other fulfilling the environment requirements. Nevertheless, the genetic pool of populations evolves in the direction of a very restricted number of complementing haplotypes and a fast changing environment kills the population. If simulations start with all loci heterozygous, they stay heterozygous for a long time.     

Experimental support for multiple-locus complementary sex determination in the parasitoid Cotesia vestalis

Despite its fundamental role in development, sex determination is highly diverse among animals. Approximately 20% of all animals are haplodiploid, with haploid males and diploid females. Haplodiploid species exhibit diverse but poorly understood mechanisms of sex determination. Some hymenopteran insect species exhibit single-locus complementary sex determination (sl-CSD), where heterozygosity at a polymorphic sex locus initiates female development. Diploid males are homozygous at the sex locus and represent a genetic load because they are inviable or sterile. Inbreeding depression associated with CSD is therefore expected to select for other modes of sex determination resulting in fewer or no diploid males. Here, we investigate an alternative, heretofore hypothetical, mode of sex determination: multiple-locus CSD (ml-CSD). Under ml-CSD, diploid males are predicted to develop only from zygotes that are homozygous at all sex loci. We show that inbreeding for eight generations in the parasitoid wasp Cotesia vestalis leads to increasing proportions of diploid males, a pattern that is consistent with ml-CSD but not sl-CSD. The proportion of diploid males (0.27 ± 0.036) produced in the first generation of inbreeding (mother–son cross) suggests that two loci are likely involved. We also modeled diploid male production under CSD with three linked loci. Our data visually resemble CSD with linked loci because diploid male production in the second generation was lower than that in the first. To our knowledge, our data provide the first experimental support for ml-CSD.     

The Sampling Distribution of Linkage Disequilibrium

The probabilities of obtaining particular samples of gametes with two completely linked loci are derived. It is assumed that the population consists of N diploid, randomly mating individuals, that each of the two loci mutate according to the infinite allele model at a rate µ and that the population is at equilibrium. When 4Nµ is small, the most probable samples of gametes are those that segregate only two alleles at either locus. The probabilities of various samples of gametes are discussed. The results show that most samples with completely linked loci have either a very small or a very large association between the alleles of each locus. This causes the distribution of linkage disequilibrium to be skewed and the distribution of the correlation coefficient to be bimodal. The correlation coefficient is commonly used as a test statistic with a chi square distribution and yet has a bimodal distribution when the loci are completely linked. Thus, such a test is not likely to be accurate unless the rate of recombination between the loci and/or the effective population size are sufficiently large enough so that the loci can be treated as unlinked.     

Loss of duplicate gene expression in tetraploid Chenopodium

Genetic analyses indicate that single-banded leucine aminopeptidase (LAP) phenotypes in tetraploid Chenopodium reflect homozygosity for null alleles at either locus of a polyduplicated pair. Other duplicated isozyme loci show simplification to the diploid phenotype. Loss of duplicate gene expression in the LAP system has occurred independently in putatively specialized taxa occupying the distributional periphery of a New World tetraploid complex. The geographic/taxonomic pattern of genetic variation suggests that fixation of null alleles is mediated by stochastic genetic phenomena associated with migration. Plants homozygous for null alleles at both LAP loci show no detetable activity in assays involving several exopeptidase substrates, although growth and fertility of double-null plants are not markedly reduced. Our data confirm that loss of duplicate gene expression can occur in isozyme systems of polyploid plant taxa. Thus, lack of electrophoretically detectable duplicate gene expression is not a certain indication of diploidy. However, loss of duplicate gene expression in population systems known to be of allopolyploid origin is a clear indication of phyletic derivation.     

Epigenetic inheritance and genome regulation: is DNA methylation linked to ploidy in haplodiploid insects?

Organisms show great variation in ploidy level. For example, chromosome copy number varies among cells, individuals and species. One particularly widespread example of ploidy variation is found in haplodiploid taxa, wherein males are typically haploid and females are typically diploid. Despite the prevalence of haplodiploidy, the regulatory consequences of having separate haploid and diploid genomes are poorly understood. In particular, it remains unknown whether epigenetic mechanisms contribute to regulatory compensation for genome dosage. To gain greater insights into the importance of epigenetic information to ploidy compensation, we examined DNA methylation differences among diploid queen, diploid worker, haploid male and diploid male Solenopsis invicta fire ants. Surprisingly, we found that morphologically dissimilar diploid males, queens and workers were more similar to one another in terms of DNA methylation than were morphologically similar haploid and diploid males. Moreover, methylation level was positively associated with gene expression for genes that were differentially methylated in haploid and diploid castes. These data demonstrate that intragenic DNA methylation levels differ among individuals of distinct ploidy and are positively associated with levels of gene expression. Thus, these results suggest that epigenetic information may be linked to ploidy compensation in haplodiploid insects. Overall, this study suggests that epigenetic mechanisms may be important to maintaining appropriate patterns of gene regulation in biological systems that differ in genome copy number.     

Development of microsatellite markers for the critically endangered Limonium dufourii (Girard) Kuntze (Plumbaginaceae)

Limonium dufourii is an endemic plant from the eastern Mediterranean coast of Spain with a triploid chromosome number and apomictic reproduction. We have isolated and characterized 13 polymorphic microsatellite loci from an enriched library in order to investigate its population genetic structure. Simple sequence repeat (SSR) loci were screened in 120 individuals from the six extant populations of this species. They show an average of 5.76 alleles per locus, ranging from 2 to 18, with seven loci exhibiting heterozygosities larger than 0.60. Three loci present one single allele in each individual, whereas one locus presents three alleles in every individual analysed.     

Statistical genetic considerations for maintaining germ plasm collections

One objective of the regeneration of genetic populations is to maintain at least one copy of each allele present in the original population. Genetic diversity within populations depends on the number and frequency of alleles across all loci. The objectives of this study on outbreeding crops are: (1) to use probability models to determine optimal sample sizes for the regeneration for a number of alleles at independent loci; and (2) to examine theoretical considerations in choosing core subsets of a collection. If we assume that k-1 alleles occur at an identical low frequency of p₀ and that the k^th allele occurs at a frequency of 1-[(k-1)p₀], for loci with two, three, or four alleles, each with a p₀ of 0.05, 89–110 additional individuals are required if at least one allele at each of 10 loci is to be retained with a 90% probability; if 100 loci are involved, 134–155 individuals are required. For two, three, or four alleles, when p₀ is 0.03 at each of 10 loci, the sample size required to include at least one of the alleles from each class in each locus is 150–186 individuals; if 100 loci are involved, 75 additional individuals are required. Sample sizes of 160–210 plants are required to capture alleles at frequencies of 0.05 or higher in each of 150 loci, with a 90–95% probability. For rare alleles widespread throughout the collection, most alleles with frequencies of 0.03 and 0.05 per locus will be included in a core subset of 25–100 accessions.     

The robustness of Hamilton's rule with inbreeding and dominance: kin selection and fixation probabilities under partial sib mating

Assessing the validity of Hamilton's rule when there is both inbreeding and dominance remains difficult. In this article, we provide a general method based on the direct fitness formalism to address this question. We then apply it to the question of the evolution of altruism among diploid full sibs and among haplodiploid sisters under inbreeding resulting from partial sib mating. In both cases, we find that the allele coding for altruism always increases in frequency if a condition of the form rb>c holds, where r depends on the rate of sib mating alpha but not on the frequency of the allele, its phenotypic effects, or the dominance of these effects. In both examples, we derive expressions for the probability of fixation of an allele coding for altruism; comparing these expressions with simulation results allows us to test various approximations often made in kin selection models (weak selection, large population size, large fecundity). Increasing alpha increases the probability of fixation of recessive altruistic alleles (h<1/2), while it can increase or decrease the probability of fixation of dominant altruistic alleles (h>1/2).     

Multilocus selection in subdivided populations II. Maintenance of polymorphism under weak or strong migration

The potential of maintaining multilocus polymorphism by migration-selection balance is studied. A large population of diploid individuals is distributed over finitely many demes connected by migration. Generations are discrete and nonoverlapping, selection may vary across demes, and loci are multiallelic. It is shown that if migration and recombination are strong relative to selection, then with weak or no epistasis and intermediate dominance at every locus and in every deme, arbitrarily many alleles can be maintained at arbitrarily many loci at a stable equilibrium. If migration is weak relative to selection and recombination, then with weak or no epistasis and intermediate dominance at every locus and in every deme, as many alleles as there are demes can be maintained at arbitrarily many loci at equilibrium. In both cases open sets of such parameter combinations are constructed, thus the results are robust with respect to small, but arbitrary, perturbations in the parameters. For weak migration, the number of demes is, in fact, a generic upper bound to the number of alleles that can be maintained at any locus. Thus, several scenarios are identified under which multilocus polymorphism can be maintained by migration-selection balance when this is impossible in a panmictic population.      

Global allele polymorphism indicates a high rate of allele genesis at a locus under balancing selection

When selection favours rare alleles over common ones (balancing selection in the form of negative frequency-dependent selection), a locus may maintain a large number of alleles, each at similar frequency. To better understand how allelic richness is generated and maintained at such loci, we assessed 201 sequences of the complementary sex determiner (csd) of the Asian honeybee (Apis cerana), sampled from across its range. Honeybees are haplodiploid; hemizygotes at csd develop as males and heterozygotes as females, while homozygosity is lethal. Thus, csd is under strong negative frequency-dependent selection because rare alleles are less likely to end up in the lethal homozygous form. We find that in A. cerana, as in other Apis, just a few amino acid differences between csd alleles in the hypervariable region are sufficient to trigger female development. We then show that while allelic lineages are spread across geographical regions, allelic differentiation is high between populations, with most csd alleles (86.3%) detected in only one sample location. Furthermore, nucleotide diversity in the hypervariable region indicates an excess of recently arisen alleles, possibly associated with population expansion across Asia since the last glacial maximum. Only the newly invasive populations of the Austral-Pacific share most of their csd alleles. In all, the geographic patterns of csd diversity in A. cerana indicate that high mutation rates and balancing selection act together to produce high rates of allele genesis and turnover at the honeybee sex locus, which in turn leads to its exceptionally high local and global polymorphism.Subject terms: Evolutionary genetics, Rare variants, Ecological genetics     

A general program for estimation of haplotype frequencies from population diploid data.

The program which is written in FORTRAN estimates haplotype frequencies in two-locus and three-locus genetic systems from population diploid data. It is based on the gene counting method which leads to maximum likelihood estimates, and can be used whenever the possible antigens (one or more) on each chromosome can be specified for each person and for each locus, i.e., ABO-like systems and inclusions are permitted. The number of alleles per locus may be rather large, and both grouped and ungrouped data can be used. Log likelihoods are calculated on the basis of various assumptions, so that likelihood ratio tests can be carried out.     

When will a sexual population evolve to an ESS?

A diploid, Mendelian population is considered in which m alleles at a single autosomal locus uniquely determine the phenotype of each individual. In the population, a game-theoretical conflict is supposed. If the genetic system is able to uniquely realize the phenotypic evolutionarily stable strategy (ESS) state then the sexual population will evolve to this ESS.     

No inbreeding depression but increased sexual investment in highly inbred ant colonies

Inbreeding can lead to the expression of deleterious recessive alleles and to a subsequent fitness reduction. In Hymenoptera, deleterious alleles are purged in haploid males moderating inbreeding costs. However, in these haplodiploid species, inbreeding can result in the production of sterile diploid males. We investigated the effects of inbreeding on the individual and colony level in field colonies of the highly inbred ant Hypoponera opacior. In this species, outbreeding winged sexuals and nest‐mating wingless sexuals mate during two separate reproductive periods. We show that regular sib‐matings lead to high levels of homozygosity and the occasional production of diploid males, which sporadically sire triploid offspring. On the individual level, inbreeding was associated with an increased body size in workers. On the colony level, we found no evidence for inbreeding depression as productivity was unaffected by the level of homozygosity. Instead, inbred colonies altered their allocation strategies by investing more resources into sexuals than into workers. This shift towards sexual production was due to an increased investment in both males and queens, which was particularly pronounced in the dispersive generation. The absence of inbreeding depression combined with increased reproductive investment, especially in outbreeding sexuals, suggests that these ants have evolved active strategies to regulate the extent and effects of frequent inbreeding.     

Fewer S‐alleles are maintained in plant populations with sporophytic as opposed to gametophytic self‐incompatibility

Plants use self‐incompatibility to reject pollen bearing alleles in common at the S‐locus. These systems are classified as gametophytic (GSI) if recognition involves haploid pollen or sporophytic (SSI) if recognition involves diploid paternal genotypes. Dominance in SSI systems reduces the number of S‐alleles, but it has not been clear which system should maintain greater diversity when all else is equal. We simulated finite populations to compare the equilibrium number of S‐alleles in populations with either GSI or a co‐dominant SSI system. When population size was constant, SSI systems maintained more S‐alleles than GSI systems. When populations fluctuated in response to an S‐Allee effect, fewer S‐alleles were observed in SSI systems when S‐allele diversity was low, and SSI populations were vulnerable to extinction over a broader range of parameters. Turnover rates at the S‐locus were also faster in SSI populations experiencing strong S‐Allee effects. Given the variable expectations concerning S‐allele diversity in these systems, we reviewed published estimates of S‐allele diversity. GSI populations have significantly more S‐alleles on average than SSI populations (GSI = 25.70 and SSI = 16.80). Dominance likely contributes to this pattern, although the demographic consequences of the S‐Allee effect may be important in populations with fewer than 10 S‐alleles.     

Lower group productivity under kin-selected reproductive altruism

Abstract Hamilton's rule provides the foundation for understanding the genetic evolution of social behavior, showing that altruism is favored by increased relatedness and increased productivity of altruists. But how likely is it that a new altruistic mutation will satisfy Hamilton's rule by increasing the reproductive efficiency of the group? Altruism per se does not improve efficiency, and hence we would not expect a typical altruistic mutation to increase the mean productivity of the population. We examined the conditions under which a mutation causing reproductive altruism can spread when it does not increase productivity. We considered a population divided into temporary groups of genetically similar individuals (typically family groups). We show that the spread of altruism requires a pleiotropic link between altruism and enhanced productivity in diploid organisms, but not in haplodiploid organisms such as Hymenoptera. This result provides a novel biological understanding of the barrier to the spread of reproductive altruism in diploids. In haplodiploid organisms, altruism within families that lowers productivity may spread, provided daughters sacrifice their own reproduction to raise full‐sisters. We verified our results using three single‐locus genetic models that explore a range of the possible reproductive costs of helping. The advantage of female‐to‐female altruism in haplodiploids is a well‐known prediction of Hamilton's rule, but its importance in relaxing the linkage between altruism and efficiency has not been explored. We discuss the possible role of such unproductive altruism in the origins of sociality. We also note that each model predicts a large region of parameter space were polymorphism between altruism and selfishness is maintained, a pattern independent of dominance.     

Effect of a Founder Event on Variation in the Genetic Sex-Determining System of the Fire Ant Solenopsis Invicta

Effects of a recent founder event on genetic diversity in wild populations of the fire ant Solenopsis invicta were studied, with particular attention given to the genetic sex-determining system. Diploid males are far more common relative to haploid males in introduced populations than in native populations of fire ants, and queens that produce diploid males account for a significantly larger proportion of the mated queens in introduced than in native populations. Differences between native and introduced populations in attributes of the mating systems (i.e., queen mating frequency or level of inbreeding) can be excluded as factors contributing to these different levels of diploid male production. Thus, we conclude that diploid males have increased in frequency in introduced populations because of a loss of allelic diversity at the sex-determining locus (loci). This loss of sex alleles has generated a substantial increase in the estimated segregational genetic load associated with production of sterile diploid males in introduced populations over the load in native populations. The loss of allelic diversity in the sex-determining system in introduced S. invicta is paralleled by a loss of electrophoretically detectable rare alleles at protein-encoding loci. Such concordance between these different types of markers is predicted because each of the many sex alleles present in the native populations is expected to be rare. Estimates of expected heterozygosity (H(exp)) based on 76 electrophoretic loci do not differ significantly between the native and introduced fire ant populations, illustrating the lack of sensitivity of this measure for detecting many types of bottlenecks.     

Estimation of individual level of inbreeding using relatedness measures in haplodiploids

Although male haploidy in haplodiploid species aids purging of deleterious alleles, haplodiploid animals may nevertheless suffer significant negative effects of inbreeding. The effects may even be stronger in social Hymenoptera because the negative fitness consequences may be expressed at two levels: the individual level (inbred queens) and colony level (inbred workers). Surprisingly, in natural populations the impact of inbreeding on fitness has been studied in very few insects, and even fewer haplodiploid ones. Hence there is currently little understanding of the potential effects of inbreeding. One reason may be the difficulties in estimating inbreeding especially at the individual level, apart from the additional problems posed by haplodiploidy. In order to study the impact of inbreeding, its individual level must be estimated as precisely as possible. When the population pedigree is unknown, relatedness-based estimates of the individual inbreeding coefficient can be used to estimate inbreeding. Here we examine the relationship between inbreeding coefficients and relatedness in diploid and haplodiploid organisms, and provide guidelines for estimating inbreeding both at the individual and the colony level. Received 7 March 2005; revised 18 April 2005, accepted 20 April 2005. An erratum to this article is available at .