Direct evidence for increased disease resistance in polyandrous broods exists only in eusocial Hymenoptera

The ‘genetic diversity’ hypothesis posits that polyandry evolved as a mechanism to increase genetic diversity within broods. One extension of this hypothesis is the ‘genetic diversity for disease resistance’ hypothesis (GDDRH). Originally designed for eusocial Hymenoptera, GDDRH states that polyandry will evolve as an effect of lower parasite prevalence in genetically variable broods. However, this hypothesis has been broadly applied to several other taxa. It is unclear how much empirical evidence supports GDDRH specifically, especially outside eusocial Hymenoptera. This question was addressed by conducting a literature review and posteriorly conducting meta-analyses on the data available using Hedges’s g. The literature review found 10 direct and 32 indirect studies with both having a strong publication bias towards Hymenoptera. Two meta-analyses were conducted and both found increased polyandry (direct tests; n = 8, g = 0.2283, p =  < 0.0001) and genetic diversity generated by other mechanisms (indirect tests; n = 10, g = 0.21, p =  < 0.0001) reduced parasite load. A subsequent moderator analysis revealed that there were no differences among Orders, indicating there may be applicability outside of Hymenoptera. However, due to publication bias and low sample size we must exercise caution with these results. Despite the fact that the GDDRH was developed for Hymenoptera, it is frequently applied to other taxa. This study highlights the low amount of direct evidence supporting GDDRH, particularly outside of eusocial Hymenoptera. It calls for future research to address species that have high dispersal rates and contain mixes of solitary and communal nesting.


Background
Polyandry is common among a wide variety of animal taxa [3,21,22,65,71], and is an evolutionary conundrum: Why mate with more than one male when females can typically fertilize all eggs with a single mating? Over the last few decades, the impact of polyandry and its consequences have been investigated in a diverse number of evolutionary phenomena. Polyandry influences (and is affected by) mechanisms such as cryptic female choice, sexual conflict, parental care, and ecological parameters such as resource accumulation and competition (e.g., reviewed in [37,53,71]. However, the evolutionary causes (and maintenance) of polyandry are still being explored.
Hymenopterans are particularly useful to better understand why polyandry might evolve. Unlike insects in general, polyandry is much rarer among social insects [68], the prominence of polyandry in certain eusocial taxa, when cooperation implicates genetic relatedness, remains an open question [74]. Hymenoptera display a wide diversity of mating systems including both sexual and asexual modes of reproduction [36]. Sexual mating strategies include monogamy, polygyny (multiple queens), polyandry (multiple mating by a single queen), and hyperpolyandry (> 5 males) [12].

BMC Ecology and Evolution
The hypotheses put forth to explain the evolution of polyandry in Hymenopterans are varied. Page [50] argued that multiple mating by honeybee queens is the result of their genic sex determination. This idea was countered by Hamilton [23] and Sherman et al. [61] where they laid out the 'genetic diversity for disease resistance' hypothesis (from here on GDDRH). The GDDRH assumes that increased genetic diversity via polyandry will reduce the likelihood of parasitic infection, given that nests (colonies) provide prime conditions for parasite transfer (see review Wilson-Rich et al. [78] for further hypotheses on defense against disease in social insects). Some empirical support for the GDDRH has been found within the eusocial Hymenopteran (e.g., [5,69], but the GDDRH has been extended to non-Hymenopteran taxa (e.g. [10,80], lending to its prominence as an explanatory mechanism for the evolution of polyandry beyond the Hymenopterans. Kraus and Page [35] expressed doubt that the GDDRH is a sufficient explanation and rejected its application to honeybees. Sherman et al. [62] countered their argument by pointing out that genic sex determination is present in both monandrous and polyandrous Hympenopteran species. Palmer and Oldryod [51] later regard a suite of 'genetic variation' (GV) hypotheses (reviewed in [33] as the only likely explanation for the evolution of polyandry in the genus Apis. The discussion is far from resolved with several factors potentially contributing to the selection for increased genetic diversity via polyandry in the group [71], including the haplo-diploid sex-determination system [48]. One of the outcomes of polyandry is the generation of higher levels of genetic diversity within broods compared to that of a monandrous pair [81]. Increased genetic diversity within a population has multiple benefits. Genetically diverse populations are more efficient at adapting to biotic and abiotic environmental changes compared to populations with low genetic diversity (e.g. [27,28,67]. High levels of genetic diversity can result in increased population homeostasis [49], and can reduce competition for optimal sex ratios [45,55]. In addition, research in the field of the evolution of sexual reproduction highlighted the importance of high levels of genetic diversity in outweighing the costs of male production relative to asexuality. The Red Queen hypothesis states that sexual reproduction (male production) evolves and is maintained under host/parasite coevolution. Males contribute by increasing the level of genetic diversity of female broods. Evidence exists in a few species to support the Red Queen hypothesis (e.g. [15,32,40,46]), but this is a theme beyond the scope of the present paper.
In the present work we question how much direct evidence supports the maintenance of polyandry in the conditions presented by GDDRH. Moreover, the validity of the hypothesis beyond the original study group remains questionable. For this purpose, we conducted a literature survey to determine the number of studies that directly test GDDRH within eusocial Hymenopteran and non-Hymenopteran taxa. Next, we performed meta-analyses to test if polyandry (direct studies) or genetic diversity generated by other mechanisms (indirect studies) elicits lower parasite prevalence across taxa.

Results
Of the 2106 studies found, 10 met the criteria of directly testing GDDRH and 32 were classified as indirect (Table 1).
Of the 10 direct studies identified, only two tested nonhymenopteran taxa. Of the eight publications that tested hymenopteran species, five found evidence that disease prevalence and promiscuity were negatively correlated ( Table 1). One study found mixed results [16], while Tarpy [69] reported lower variance in parasite infection amongst colonies compared to single fathered broods, arguing these results support GDDRH as a bet-hedging strategy. Only one publication did not find evidence supporting GDDRH ( Table 1). The two non-hymenopteran species in the direct studies data set utilized the house mouse (Mus musculus) and the western tent caterpillar (Malacosoma californicum pluviale [19,72]; neither found evidence for decreased disease resistance in polyandrous relative to monandrous broods (Table 1).
In total we extracted 14 effect sizes from 8 studies directly testing for GDDRH in our meta-analysis (Additional file 1: Table S1). When directly tested, polyandry increases parasite resistance (g = 0.2283, p < 0.0001, Fig. 1A). When separating host species by Order, we find that Hymenoptera (g = 0.3078) and Rodentia (g = -− 0.6314) did not significantly differ from each other (Q = 0.5401, p = 4624, Fig. 3A), suggesting that the GDDRH holds outside Hymenoptera. However, as this comparison is limited to two categories, where Rodentia consisted of 1 effect size, and with publication bias present ( Fig. 2A), we cannot accept this result. Considering our meta-analysis results, based on a small data set, we conclude that the current available direct empirical evidence is insufficient in providing support for GDDRH outside of Hymenoptera.
In the second meta-analysis, we extracted 28 effect sizes from 10 studies indirectly testing GDDRH. Here, we also find that increased host population genetic Table 1 Direct and indirect tests of the 'genetic diversity for disease resistance' hypothesis based on the literature search terms "Polyandry" + "genetic diversity" + "disease resistance" *Support for the hypothesis following a "bet-hedging" strategy hypothesis  Fig. 1B). Moderator analysis shows that host Orders Cladocera (g = 0.0076), Hymenoptera (g = 0.2345), Isoptera (g = 0.2991), and Basommatophora (g = 0.0563) do not significantly differ from each other (Q = 0.1183, p = 0.9896, Fig. 3A). However, we again find publication bias in this second data set, with effect sizes not falling symmetrically around the overall effect size (Fig. 2B), indicating that more studies are needed to properly test for GDDRH.

Discussion
From our literature survey two patterns emerge: i) the number of empirical studies directly testing 'genetic diversity for disease resistance' hypothesis is surprisingly low and ii) eusocial Hymenoptera are the preferred study model in the direct studies data set. The prevalence of eusocial Hymenoptera in direct studies is likely because of the characteristics that make the system very tractable in this type of research. The group is colonial and infections can be performed in the field or in the laboratory with the possibility of coinfection by multiple parasites. Moreover, artificial insemination is achievable, which allows the manipulation of mated males per female; this practice was carried out in some of the studies reported here imposing a mating system that does not naturally occur. For example, honeybees are not monandrous in nature, but two studies that were labeled as direct tests forced monandry through artificial insemination [60,70].
Based on our first meta-analysis, we found no clear direct empirical evidence supporting GDDRH outside eusocial Hymenoptera. However, the outcome mostly reflects the very low number of studies directly testing the hypothesis outside the group (1 out of the 8 studies). On the other hand, the indirect studies encompassed a wider taxa diversity and the meta-analysis found support for reduced parasite load in genetically more diverse host populations. However, a funnel plot analysis confirms publication bias. Together our analyses stress the need for more studies testing the 'genetic diversity' hypothesis, and in particular its extension hypothesis GDDRH, namely outside eusocial Hymenoptera.
There could be ecological reasons why direct studies in eusocial Hymenoptera showed support for the GDDRH. Two aspects that could be important for disease transmission are dispersal and eusociality. Eusociality involves the formation of distinct behavioral castes. Typically, one to a few females reproduce with the rest of the colony members being made up by non-reproductive individuals [14]. When a female forms a colony, all offspring in the group have high levels of relatedness. Consequently, the colony could be quickly overtaken by a parasite that has efficiently evolved to overcome any resistance genotype of the group. In this scenario, there may be strong selection for the queen to mate multiply, increasing the level of genetic diversity within her colony. Conversely, when individuals of a population disperse, reducing contact with siblings (and often their own species), chances for parasite transmission are lower. Evolutionarily this could reduce pressure on the host species to evolve mechanisms that increase genetic diversity, including via polyandry. Although the vast majority of Hymenoptera are solitary, the species where direct evidence has been found for GDDRH are eusocial.
Future work should address this question specifically, i.e., if eusociality and density might be increasing the selection for polyandry. Namely, these studies should test if disease reduction also occurs within polyandrous broods from non-eusocial species with higher dispersal rates or with solitary lives. In these conditions disease transmission chances are lower and may result in relaxed selection for parasite resistance [43]. Utilization of a species that exhibits a mix of sociality may be particularly insightful. For example, Ageniella (Lissagenia) flavipennis is a spider wasp that exhibits both solitary nesting and colonies of cohabiting individuals [17].
Tarpy [69] observed a reduction in the variance of parasite load in polyandrous colonies compared to monandrous colonies. The authors argue that the results are consistent with polyandry as a 'bet-hedging' reproductive strategy [82]. Simply put, multiple paternity reduces the likelihood of severe population reduction by parasite load because distinct patrilines can show differences in susceptibility to parasite infection [61]. Long-term, i.e., between generations, polyandrous females reduce variance in offspring fitness relative to that of monandrous females [30]. Variation in disease resistance amongst patrilines of A. mellifera has been confirmed [8,29], and argues in favor of this reasoning. However, our literature review of direct studies highlighted the lack of empirical evidence specifically addressing this topic. All studies in Table 1  work could be used to invoke host-parasite coevolution under monandry and polyandry. This approach may also help to elucidate whether a threshold level of virulence is required for polyandry to be advantageous under host/ parasite coevolution.

Conclusions
Polyandry is ubiquitous throughout the animal taxa. Several hypotheses explaining the high levels of polyandry observed in some species of eusocial insects have been put forth and are reviewed in Oldroyd and Fewell [49]. While there could be many reasons for its prevalence in nature, parasites may be one strong selective force operating in the maintenance of polyandry. However, our analyses indicate that to better understand the exact conditions favoring polyandry in the terms proposed by GDDRH more direct studies are mandatory. The relationship between polyandry and the exact levels of genetic diversity in host populations required to increase infection resistance must be further teased apart [34]. Likewise, to understand if the GDDRH only applies to the Hymenoptera, greater research efforts directly testing GDDRH in non-Hymenoptera are necessary. Moreover, examining infection rates and polyandry in different social environments might shed some light on the interaction between different social structures, the evolution of polyandry, and disease resistance. Continuing to investigate the 'genetic diversity for disease resistance' hypothesis would assist in understanding how, and in what taxa parasitic selection influences the evolution of polyandry. On the other hand, the generalized acceptation of the GDDRH may reflect the inflated influence of a few direct tests with strong positive findings in eusocial Hymenoptera. Also, probably contributing to the generalized acceptance of the theory is the high support found in the literature indirectly testing the hypothesis despite not reporting polyandry per se.

Methods
For definition purposes, 'parasites' will be used to mean all infecting agents, which include microbial pathogens. We used the guidelines Preferred Reporting Items for Systematic reviews and Meta-Analysis (PRISMA) outlined in Moher et al. [44] to undergo a literature search to glean studies that test the GDDRH both directly and indirectly (see Additional file 2: Fig. S1). To determine how much direct evidence supporting the GDDRH exists, a literature search was conducted using both Google Scholar and Web of Science. Combinations of the keywords; "Polyandry", "Genetic Diversity", "Multiple Mating", and"Disease Resistance" were used for each database in May 2020. Next, citations were removed if replicates were found between searches and databases, as well as non-peer reviewed sources (i.e. books, dissertations). This resulted in 2106 citations being left. Titles were then evaluated for relevance and 2018 papers were removed. Of the articles remaining we assessed the following parameters: (1) disease or infection evaluation (2) genetic diversity alterations and (3) determination of study type (reviews were eliminated). Those studies that assessed infection, and altered genetic diversity were further evaluated and parsed into direct and indirect studies. This process resulted in 42 studies that were grouped into direct or indirect tests of the GDDRH (Table 1). For the purposes of this paper, a direct study testing GDDRH is defined as one that i) directly measures parasitic infection of offspring, with infection performed either in the field or direct infection in the laboratory, and ii) incorporated correlation with high vs. low genetically diverse host populations through mating strategy differences, i.e. monandry vs. polyandry. Comparing monandrous broods to polyandrous broods are valuable treatments when genetic relatedness is not available: monandry should have lower levels of genetic diversity providing the best alternative to polyandry for comparison. However, one study does not use monandrous broods, but rather compares the relationship between parasite load and varying levels of promiscuity (i.e., 10 to 28 mated males per queen in Neumann & Moritz, 2000, with genetic relatedness reported). Another study manipulated male genetic diversity that led to the effective mating rate being 1.3 versus 4 males [5]. Both studies were classified as direct tests of the GDDRH. Indirect studies examine parasitic infection in groups that may have different levels of genetic diversity generated through other mechanisms. For example, genetic diversity was manipulated through groups founded by one (monogyne) or more than one female (polygyne). Although that is a mechanism for increasing genetic diversity, it does not address polyandrous behavior, and as a result those studies were classified as indirect as long as infection was also assessed.
We then assessed the studies to determine if they could be included in the meta-analysis based on the following parameters: (i) a comparison between high and low genetic diversity groups and (ii) assess parasite success (i.e., mortality). We excluded studies that used heterogeneity as a measure for genetic diversity as we were interested in the benefits of polyandry at the population level and not individual level on parasite success. We also excluded studies that were mathematical models and meta-analyses. This left 8 direct studies and 10 indirect studies that we gleaned data from to conduct our meta-analysis.
We conducted a meta-analysis following the methods described in Hedges [24], using Hedges's g to estimate effect sizes. Standard mean difference was calculated using the escalc function in the package metafor in R v. 1.3.1056 (R Development Core Team). The web-based tool WebPlotDigitizer (https:// autom eris. io/ WebPl otDig itizer/ userM anual. pdf ) was used to extract data from publication plots when raw data was not available.
The terms of the GDDRH posit that polyandry is favored when it results in increased genetic diversity, gambling in the likelihood that half-siblings will vary in resilience to parasites. In the direct studies dataset, standard mean difference effect sizes were calculated by extracting parasite harm mean measurements and their standard deviations in two groups: monandry or low polyandry and high polyandry. In one study [70], t-values and degrees of freedom were extracted due to the lack of means and standard deviations. As most direct studies looked at the effects of GDDRH in Hymenoptera, we first performed a nested random mixed effects model using the rma.mv function to account for phylogenetic non-independence. The same method to obtain standard mean difference was applied on studies indirectly testing