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。     

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.     

Balancing selection maintains sex determining alleles in multiple‐locus complementary sex determination

Hymenopteran species in which sex is determined through a haplo‐diploid mechanism known as complementary sex determination (CSD) are vulnerable to a unique form of inbreeding depression. Diploids heterozygous at one or more CSD loci develop into females but diploids homozygous at all loci develop into diploid males, which are generally sterile or inviable. Species with multiple polymorphic CSD loci (ml‐CSD) may have lower rates of diploid male production than species with a single CSD locus (sl‐CSD), but it is not clear if polymorphism is consistently maintained at all loci. Here, we assess the rate of diploid male production in a population of Cotesia rubecula, a two‐locus CSD parasitoid wasp species, approximately 20 years after the population was introduced for biological control. We show that diploid male production dropped from 8–13% in 2005 and 2006 to 3–4% by 2015. We also show from experimental crosses that the population maintained polymorphism at both CSD loci in 2015. We use theory and simulations to show that balancing selection on all CSD alleles promotes polymorphism at several loci in ml‐CSD populations. Our study supports the hypothesis that ml‐CSD populations have lower diploid male production and are more likely to persist than comparable sl‐CSD populations.     

Complementary sex determination in the parasitoid wasp Cotesia vestalis (C. plutellae)

In the Hymenoptera, single locus complementary sex determination (sl-CSD) describes a system where males develop either from unfertilized haploid eggs or from fertilized diploid eggs that are homozygous at a single polymorphic sex locus. Diploid males are often inviable or sterile, and are produced more frequently under inbreeding. Within families where sl-CSD has been demonstrated, we predict that sl-CSD should be more likely in species with solitary development than in species where siblings develop gregariously (and likely inbreed). We examine this prediction in the parasitoid wasp genus Cotesia, which contains both solitary and gregarious species. Previous studies have shown that sl-CSD is absent in two gregarious species of Cotesia, but present in one gregarious species. Here, we demonstrate CSD in the solitary Cotesia vestalis, using microsatellite markers. Diploid sons are produced by inbred, but not outbred, females. However, frequencies of diploid males were lower than expected under sl-CSD, suggesting that CSD in C. vestalis involves more than one locus.     

Diploid males sire triploid daughters and sons in the parasitoid wasp Cotesia vestalis

In the Hymenoptera, males develop as haploids from unfertilized eggs and females develop as diploids from fertilized eggs. In species with complementary sex determination (CSD), however, diploid males develop from zygotes that are homozygous at a highly polymorphic sex locus or loci. We investigated mating behavior and reproduction of diploid males of the parasitoid wasp Cotesia vestalis (C. plutellae), for which we recently demonstrated CSD. We show that the behavior of diploid males of C. vestalis is similar to that of haploid males, when measured as the proportion of males that display wing fanning, and the proportion of males that mount a female. Approximately 29% of diploid males sired daughters, showing their ability to produce viable sperm that can fertilize eggs. Females mated to diploid males produced all-male offspring more frequently (71%) than females mated to haploid males (27%). Daughter-producing females that had mated to diploid males produced more male-biased sex ratios than females mated to haploid males. All daughters of diploid males were triploid and sterile. Three triploid sons were also found among the offspring of diploid males. It has been suggested that this scenario, that is, diploid males mating with females and constraining them to the production of haploid sons, has a large negative impact on population growth rate and secondary sex ratio. Selection for adaptations to reduce diploid male production in natural populations is therefore likely to be strong. We discuss different scenarios that may reduce the sex determination load in C. vestalis.     

Absence of Complementary Sex Determination in the Parasitoid Wasp Genus Asobara (Hymenoptera: Braconidae)

An attractive way to improve our understanding of sex determination evolution is to study the underlying mechanisms in closely related species and in a phylogenetic perspective. Hymenopterans are well suited owing to the diverse sex determination mechanisms, including different types of Complementary Sex Determination (CSD) and maternal control sex determination. We investigated different types of CSD in four species within the braconid wasp genus Asobara that exhibit diverse life-history traits. Nine to thirteen generations of inbreeding were monitored for diploid male production, brood size, offspring sex ratio, and pupal mortality as indicators for CSD. In addition, simulation models were developed to compare these observations to predicted patterns for multilocus CSD with up to ten loci. The inbreeding regime did not result in diploid male production, decreased brood sizes, substantially increased offspring sex ratios nor in increased pupal mortality. The simulations further allowed us to reject CSD with up to ten loci, which is a strong refutation of the multilocus CSD model. We discuss how the absence of CSD can be reconciled with the variation in life-history traits among Asobara species, and the ramifications for the phylogenetic distribution of sex determination mechanisms in the Hymenoptera.     

Linkage analysis of sex determination in Bracon sp. near hebetor (Hymenoptera: Braconidae)

To test whether sex determination in the parasitic wasp Bracon sp. near hebetor (Hymenoptera: Braconidae) is based upon a single locus or multiple loci, a linkage map was constructed using random amplified polymorphic DNA (RAPD) markers. The map includes 71 RAPD markers and one phenotypic marker, blonde. Sex was scored in a manner consistent with segregation of a single "sex locus" under complementary sex determination (CSD), which is common in haplodiploid Hymenoptera. Under haplodiploidy, males arise from unfertilized haploid eggs and females develop from fertilized diploid eggs. With CSD, females are heterozygous at the sex locus; diploids that are homozygous at the sex locus become diploid males, which are usually inviable or sterile. Ten linkage groups were formed at a minimum LOD of 3.0, with one small linkage group that included the sex locus. To locate other putative quantitative trait loci (QTL) for sex determination, sex was also treated as a binary threshold character. Several QTL were found after conducting permutation tests on the data, including one on linkage group I that corresponds to the major sex locus. One other QTL of smaller effect had a segregation pattern opposite to that expected under CSD, while another putative QTL showed a female-specific pattern consistent with either a sex-differentiating gene or a sex-specific deleterious mutation. Comparisons are made between this study and the in-depth studies on sex determination and sex differentiation in the closely related B. hebetor.     

Single-locus complementary sex determination absent in Heterospilus prosopidis (Hymenoptera: Braconidae)

In the haplodiploid Hymenoptera, haploid males arise from unfertilized eggs, receiving a single set of maternal chromosomes while diploid females arise from fertilized eggs and receive both maternal and paternal chromosomes. Under single-locus complementary sex determination (sl-CSD), sex is determined by multiple alleles at a single locus. Sex locus heterozygotes develop as females, while hemizygous and homozygous eggs develop as haploid and diploid males, respectively. Diploid males, which are inviable or sterile in almost all cases studied, are therefore produced in high frequency under inbreeding or in populations with low sex allele diversity. CSD is considered to be the ancestral form of sex determination within the Hymenoptera because members of the most basal taxa have CSD while some of the more derived groups have other mechanisms of sex determination that produce the haplo-diploid pattern without penalizing inbreeding. In this study, we investigated sex determination in Heterospilus prosopidis Viereck, a parasitoid from a relatively primitive subfamily of the Braconidae, a hymenopteran family having species with and without CSD. By comparing sex ratio and mortality patterns produced by inbred and outbred females, we were able to rule out sl-CSD as a sex determination mechanism in this species. The absence of sl-CSD in H. prosopidis was unexpected given its basal phylogenetic position in the Braconidae. This and other recent studies suggest that sex determination systems in the Hymenoptera may be evolutionary labile.     

Diploid male production correlates with genetic diversity in the parasitoid wasp Venturia canescens: a genetic approach with new microsatellite markers

Sex determination is ruled by haplodiploidy in Hymenoptera, with haploid males arising from unfertilized eggs and diploid females from fertilized eggs. However, diploid males with null fitness are produced under complementary sex determination (CSD), when individuals are homozygous for this locus. Diploid males are expected to be more frequent in genetically eroded populations (such as islands and captive populations), as genetic diversity at the csd locus should be low. However, only a few studies have focused on the relation between population size, genetic diversity, and the proportion of diploid males in the field. Here, we developed new microsatellite markers in order to assess and compare genetic diversity and diploid male proportion (DMP) in populations from three distinct habitat types – mainland, island, or captive –, in the parasitoid wasp Venturia canescens. Eroded genetic diversity and higher DMP were found in island and captive populations, and habitat type had large effect on genetic diversity. Therefore, DMP reflects the decreasing genetic diversity in small and isolated populations. Thus, Hymenopteran populations can be at high extinction risk due to habitat destruction or fragmentation.     

Life‐history traits of the Whiting polyploid line of the parasitoid Nasonia vitripennis

In hymenopterans, males are normally haploid (1n) and females diploid (2n), but individuals with divergent ploidy levels are frequently found. In species with ‘complementary sex determination’ (CSD), increasing numbers of diploid males that are often infertile or unviable arise from inbreeding, presenting a major impediment to biocontrol breeding. Non‐CSD species, which are common in some parasitoid wasp taxa, do not produce polyploids through inbreeding. Nevertheless, polyploidy also occurs in non‐CSD Hymenoptera. As a first survey on the impacts of inbreeding and polyploidy of non‐CSD species, we investigate life‐history traits of a long‐term laboratory line of the parasitoid Nasonia vitripennis (Walker) (Hymenoptera: Pteromalidae) (‘Whiting polyploid line’) in which polyploids of both sexes (diploid males, triploid females) are viable and fertile. Diploid males produce diploid sperm and virgin triploid females produce haploid and diploid eggs. We found that diploid males did not differ from haploid males with respect to body size, progeny size, mate competition, or lifespan. When diploid males were mated to many females (without accounting for mating order), the females produced a relatively high proportion of male offspring, possibly indicating that these males produce less sperm and/or have reduced sperm functionality. In triploid females, parasitization rate and fecundity were reduced and body size was slightly increased, but there was no effect on lifespan. After one generation of outbreeding, lifespan as well as parasitization rate were increased, and a body size difference was no longer apparent. This suggests that outbreeding has an effect on traits observed in an inbred polyploidy background. Overall, these results indicate some phenotypic detriments of non‐CSD polyploids that must be taken into account in breeding.     

Consequences of genetic incompatibility on fitness and mate choice: the male point of view

Hymenopterans under single‐locus complementary sex determination (sl‐CSD) face inbreeding costs due to this sex determination mode. Under sl‐CSD, homozygote eggs at the sl‐CSD locus usually develop into unviable or sterile diploid males. Production of such costly males increases when sib‐mating happens because related individuals share half of their genome. In the hymenopteran Venturia canescens (a solitary parasitoid wasp), diploid males are sterile, leading to fitness costs through genetic incompatibility between parents. Whereas the costs of producing diploid males and behavioural strategies that would reduce such costs have been studied in females, the potential fitness costs faced by males have not. Here, we aimed to investigate fitness costs that males endure after a single sib‐mating and tested whether they have the ability to avoid sib‐mating through kin recognition. Our results show that males have a reduced fitness (i.e. they produce fewer daughters) when mating with their sibs. We also show that males have the ability to distinguish between non‐sib and sib females (i.e. kin). They use chemical marks emitted by the females to discriminate kin from non‐kin. We discuss the evolution of kin recognition in males in the context of mate choice for genetic compatibility. © 2014 The Linnean Society of London, Biological Journal of the Linnean Society, 2015, 114 , 279–286.     

Complementary sex determination in the genus Diadegma (Hymenoptera: Ichneumonidae)

In the evolution of sexual reproduction we would expect to see a close association between mating systems and sex determination mechanisms. Such associations are especially evident in the insect order Hymenoptera which shows great diversity with respect to both of these characteristics. The ancestral sex determination mechanism in this order is thought to be single‐locus complementary sex determination (sl‐CSD), which is inbreeding sensitive, and where inbreeding results in the production of sterile diploid males rather than daughters. Presently, however, there is insufficient data to give strong support to the hypothesis that sl‐CSD is truly the ancestral condition in the Hymenoptera, principally because of the difficulty of reliably determining the degree of male ploidy. Here we show that six ichneumonid parasitoids from the polyphyletic genus Diadegma are subject to sl‐CSD, using neuronal cell DNA flow cytometry to distinguish ploidy levels. The presence of sl‐CSD in these six species, together with earlier evidence from the authors for D. chrysostictos, provides considerable support for the notion that sl‐CSD was ancestral in the Aculeata/Ichneumonoidea clade, which contains all eusocial Hymenoptera. Moreover, because flow cytometry discriminates reliably between haploid and diploid males, and is independent of the maternal sex allocation or the need for genetic markers, it has considerable potential for the determination of ploidy more generally.     

Triploid females and diploid males: underreported phenomena in <Emphasis Type="Italic">Polistes</Emphasis> wasps?

Summary In hymenopteran species, males are usually haploid and females diploid. However, in species that have complementary sex determination (CSD), diploid males arise when a female produces offspring that are homozygous at the sex-determining locus. Although diploid males are often sterile, in some species they have been shown to produce diploid sperm, thus producing triploid daughters if they mate successfully. Diploid males have been observed in very few species of social wasps, and we know of no published reports of triploid females. In this paper, we review the existing literature on diploid males and triploid females in the Hymenoptera, and report the observation of triploid females in three species of Polistes paper wasps. Although polyploid offspring may be produced parthenogenetically, the more likely scenario is that Polistes wasps have CSD and produce diploid males via homozygosity at the sex-determining locus. Therefore, female triploidy indicates that diploid males do exist in Polistes species where they are presumed to be absent, and are likely to be even more frequent among species that have experienced a genetic bottleneck. We conclude by cautioning against the assumption of a selective advantage to the production of early males, and by discussing the implications of male diploidy and female triploidy for measurement of sex ratio investment and assumptions of reproductive skew theory.Received 5 December 2003; revised 20 March 2004; accepted 19 April 2004.     

Sex determination and inbreeding depression in an ant with regular sib-mating

Haplodiploidy is one of the most widespread mechanisms of sex determination in animals. In many Hymenoptera, including all hitherto investigated social species, diploid individuals, which are heterozygous at the sex locus, develop as females, whereas haploid, hemizygous individuals develop as males (single-locus complementary sex determination, sl-CSD). Inbreeding leads to homozygosity at the sex locus, resulting in the production of diploid males, which are usually sterile and constitute a considerable fitness cost. Nevertheless, regular inbreeding without diploid male production is known from several solitary wasps, suggesting that in these species sex is not determined by sl-CSD but alternative mechanisms. Here, we examine sex determination in an ant with regular inbreeding, Cardiocondyla obscurior. The almost complete absence of diploid males after 10 generations of brother-sister mating in the laboratory documents for the first time the absence of sl-CSD and CSD with two or a few unlinked sex loci in a species of social Hymenoptera. Queens, which mated with a brother, appeared to decrease the number of males in their brood, as expected from the relatedness relationships under inbreeding. In contrast, some colonies began to show signs of an inbreeding depression after several generations of sib-mating, such as shortened queen life span, higher brood mortality, and a shift to more male-biased sex ratios in some colonies, presumably due to lower insemination capability of sperm.     

Population structure, mating system, and sex-determining allele diversity of the parasitoid wasp Habrobracon hebetor

Besides haplo-diploid sex determination, where females develop from fertilized diploid eggs and males from unfertilized haploid eggs, some Hymenoptera have a secondary system called complementary sex determination (CSD). This depends on genotypes of a 'sex locus' with numerous sex-determining alleles. Diploid heterozygotes develop as females, but diploid homozygotes become sterile or nonviable diploid males. Thus, when females share sex-determining alleles with their mates and produce low fitness diploid males, CSD creates a genetic load. The parasitoid wasp Habrobracon hebetor has CSD and displays mating behaviours that lessen CSD load, including mating at aggregations of males and inbreeding avoidance by females. To examine the influence of population structure and the mating system on CSD load, we conducted genetic analyses of an H. hebetor population in Wisconsin. Given the frequency of diploid males, we estimated that the population harboured 10-16 sex-determining alleles. Overall, marker allele frequencies did not differ between subpopulations, but frequencies changed dramatically between years. This reduced estimates of effective size of subpopulations to only N3 approximately 20-50, which probably reflected annual fluctuations of abundance of H. hebetor. We also determined that the mating system is effectively monogamous. Models relating sex-determining allele diversity and the mating system to female productivity showed that inbreeding avoidance always decreased CSD loads, but multiple mating only reduced loads in populations with fewer than five sex-determining alleles. Populations with N3 less than 100 should have fewer sex-determining alleles than we found, but high diversity could be maintained by a combination of frequency-dependent selection and gene flow between populations.     

Spermatogenesis in the parasitoid Diachasmimorpha longicaudata (Hymenoptera: Braconidae)

The study of spermatogenesis in Hymenoptera is limited to few taxa due to limitations to access the material in the right stage for analysis. The information available up to now states that the gametogenesis in males involves a modified meiosis, similar to mitosis. This is due to the haplodiploid sex determination system present in the order, where females are diploid and males are haploid. In the present work, we examined the spermatogenesis process in the parasitoid Diachasmimorpha longicaudata (Ashmead) (Hymenoptera: Braconidae). We performed squash preparations from testes of individuals from the third larval instar until the adult stage. Some cytological traits, such as the presence of a monopolar spindle, were analysed in detail by means of histological semi‐thin sections. The spermatogenesis in this species comprises an abortive first division with the formation of an anucleated cytoplasmic bud and a nucleated cell, and an equal second division of the nucleated cell, leading to the generation of two mature spermatozoa. The results presented herein provide more information about the process of spermatogenesis in Hymenoptera, which has not been studied in depth in parasitic species.     

The effects of functional response and host abundance fluctuations on genetic rescue in parasitoids with single‐locus sex determination

Many parasitoids have single‐locus complementary sex determination (sl‐CSD), which produces sterile or inviable males when homozygous at the sex determining locus. A previous study theoretically showed that small populations have elevated risks of extinction due to the positive feedback between inbreeding and small population size, referred to as the diploid male vortex. A few modeling studies have suggested that the diploid male vortex may not be as common because balancing selection at sex determining loci tends to maintain high allelic diversity in spatially structured populations. However, the generality of the conclusion is yet uncertain, as they were drawn either from models developed for particular systems or from a general‐purpose competition model. To attest the conclusion, we study several well‐studied host–parasitoid models that incorporate functional response specifying the number of attacked hosts given a host density and derive the conditions for a diploid male vortex in a single population. Then, we develop spatially structured individual‐based versions of the models to include female behavior, diploid male fertility, and temporal fluctuations. The results show that producing a handful of successful offspring per female parasitoid could enable parasitoid persistence when a typical number of CSD alleles are present. The effect of functional response depends on the levels of fluctuations in host abundance, and inviable or partially fertile diploid males and a small increase in dispersal can alleviate the risk of a diploid male vortex. Our work supports the generality of effective genetic rescue in spatially connected parasitoid populations with sl‐CSD. However, under more variable climate, the efficacy of the CSD mechanism may substantially decline.     

Genetic diversity and complementary sex determination (CSD) in Dolerus aeneus (Hymenoptera, Symphyta): implications for the conservation of an ecologically-important sawfly

Graminivorous sawfly numbers have declined steadily over recent years as a consequence of agricultural intensification. In spite of these declines and the importance of sawflies (Hymenoptera, Symphyta) as a food source for threatened populations of farmland birds, sawfly conservation studies have been restricted to census-based research. This is largely due to certain aspects of the sawfly life-cycle which make adequate sampling of these insects difficult. However, genetic research provides a valuable insight into population structure that cannot be obtained by traditional ecological means, and one which is essential for the development of conservation management strategies. In this study, we investigate the population genetic structure of the graminivorous sawfly Dolerus aeneus, and conduct a preliminary study to determine whether complementary sex determination (CSD), which can produce sterile diploid males under inbreeding conditions, operates in this species. Our research suggests that fragmentation of sawfly habitat as a result of agri-intensification has not yet acted to isolate D. aeneus populations, although some genetic effects are apparent (inbreeding and low diversity compared with other solitary Hymenoptera). In addition, diploid males were detected which may have compromised fertility and could indicate that CSD is operative in D. aeneus. This study highlights the need for further genetic research in sawflies to assess population structure on a UK-wide scale and to assess the prevalence of diploid males in key species. We discuss our findings in wider context of the genetics of Hymenoptera and the conservation and management of farmland biodiversity.     

Contagious parthenogenesis, automixis, and a sex determination meltdown

Because of the twofold cost of sex, genes conferring asexual reproduction are expected to spread rapidly in sexual populations. However, in reality this simple prediction is often confounded by several complications observed in natural systems. Motivated by recent findings in the Cape honey bee and in the parasitoid wasp Lysiphlebus fabarum, we explore through mathematical models the spread of a recessive, parthenogenesis inducing allele in a haplodiploid population. The focus of these models is on the intricate interactions between the mode of parthenogenesis induction through automixis and complementary sex determination (CSD) systems. These interactions may result in asexual production of diploid male offspring and the spread of the parthenogenesis-inducing allele through these males. We demonstrate that if parthenogenetic females produce a substantial proportion of male offspring, this may prevent the parthenogenesis-inducing allele from spreading. However, this effect is weakened if these diploid males are at least partially fertile. We also predict a degradation of multilocus CSD systems during the spread of parthenogenesis, following which only a single polymorphic CSD locus is maintained. Finally, based on empirical parameter estimates from L. fabarum we predict that male production in parthenogens is unlikely to prevent the eventual loss of sexual reproduction in this system.