Hybrid origin of European Vipers (Vipera magnifica and Vipera orlovi) from the Caucasus determined using genomic scale DNA markers
© Zinenko et al. 2016
Received: 9 November 2015
Accepted: 31 March 2016
Published: 12 April 2016
Studying patterns of introgression can illuminate the role of hybridization in speciation, and help guide decisions relevant to the conservation of rare taxa. Vipera magnifica and Vipera orlovi are small vipers that have high conservation status due to their rarity and restricted distributions in an area of the Caucasus region where two other related species are present – V. kaznakovi and V. renardi. Despite numerous observations of hybridization between different species of small vipers, and the potential of a hybrid origin for V. magnifica and V. orlovi based on their distribution with respect to V. kaznakovi and V. renardi, hypotheses of a hybrid origin have not been formally tested. Here we generate genomic-scale data by performing next generation sequencing of double digest restriction-site associated DNA libraries, and use these multilocus data to test whether these two species are of hybrid origin.
We generated over nine hundred loci for 38 specimens of six taxa, and analysed the dataset using Bayesian clustering and multivariate methods, as well as Patterson D-statistics, which can distinguish between incomplete lineage sorting and introgression as explanations for shared polymorphism. The results demonstrate a pattern of historical admixture in the two purported hybrids that is consistent with past gene flow from V. renardi into V. kaznakovi. The average admixture proportion in individuals was low (6.39 %) in the case of V. magnifica, but was higher in V. orlovi (19.02 %). We also show that the specific individual samples used in D-statistic tests can have a significant impact on inferences regarding the magnitude of introgression, suggesting the importance of including multiple individuals in these analyses.
Our results support the conclusion that both V. orlovi and V. magnifica had formed through a hybridization event between V. kaznakovi and V. renardi. Given a low proportion of admixture and absence of clear ecological and morphological differences V. magnifica should be treated as a marginal population of V. kaznakovi. Further studies that include analyses of ecological segregation of V. orlovi from parental taxa and search for evolutionary consequences of hybridisation would clarify if V. orlovi is a distinct hybrid species. Until this we recommend preserving the current taxonomy and protection status of V. orlovi.
Hybridization is increasingly recognized as an important evolutionary process that can have diverse outcomes with respect to biodiversity. For example, gene introgression can act to increase diversity by rapidly generating novel genetic variation upon which selection can act, potentially leading to speciation [1, 2]. In contrast, hybridization caused by human habitat disturbance may reduce biodiversity through the genetic fusion of species (reverse speciation) or the genetic dilution of a rare taxon by a more abundant one [3, 4].
In snakes, there are increased observations of hybridization between species in phylogenetically-distinct groups [4–11]. Hybridization has been widely documented for European vipers from the genus Vipera in both nature and captivity, and may be especially common in the subgenus Pelias, a monophyletic group that consists of approximately 20 species of small venomous snakes found in the temperate zone of Eurasia . Hybrids within Pelias have been reported in a number of studies including those based on karyotype, osteological, and molecular methods [13–22, Zinenko, unpublished]. Ancient introgression has also been proposed as a factor influencing the evolution of some viper species (i.e. Vipera kaznakovi Nikolsky, 1909, V. darevskii Vedmederja, Orlov and Tuniyev, 1986, V. dinniki Nikolsky, 1913 and V. eriwanensis (Reuss 1933)), but as yet no direct evidence beyond similarities in external morphology has been provided .
V. renardi (Christoph 1861) and V. kaznakovi are two widely accepted complexes of viper species that have distributions that meet along the northern slope of the Caucasus [23–29]. Snakes of the V. kaznakovi complex are endemic to the Caucasian region and are found in two different habitat types: forests of the northwestern and southern slopes of the Caucasus and high altitude open meadows of alpine zones. Snakes of the V. renardi complex consist of several taxa living in lowland or dry mountain grasslands which have expanded their range in Northern Caucasus through natural or artificial corridors resulting in a zone of contact between these two groups.
V. orlovi Tuniyev et Ostrovskikh, 2001 and V. magnifica Tuniyev et Ostrovskikh, 2001 were recently described on the basis of morphological differences and are considered part of the V. kaznakovi group . Both species have features such as intermediate geographic location, habitat, and morphology that suggest they could be hybrid lineages that originated due to historical and/or ongoing hybridization between V. kaznakovi and V. renardi. In addition, mitochondrial DNA haplotypes from V. magnifica and V. orlovi are shared with V. kaznakovi , further pointing toward hybridization.
Understanding the evolutionary origin of these species would help to understand the role that interspecific gene flow may play in the process of radiation and local adaptation in vipers. In addition, since both species are included on the IUCN list of threatened species and are locally protected [31–33], clarification of their evolutionary and taxonomic status is needed to accurately identify targets for conservation efforts.
Genetic markers traditionally used to assess hybridization between species (e.g. AFLP, microsatellites, individual nuclear genes) assay variation at few positions in the genome, can show limited levels of informative variation, and may require de novo development for use in non-model species [34–37]. The recent availability of next generation sequencing technologies has opened a door for rapidly genotyping many individuals at thousands of potentially informative loci throughout the genomes of non-model organisms . This has led to the availability of more comprehensive datasets for studies of hybridization and genetic introgression. Restriction site associated DNA sequencing (RADseq) is one specific method that takes advantage of these sequencing technologies to generate data from a large number of unlinked independent loci dispersed across genome, while reducing the need for a reference genome to identify orthologs . This type of genetic information is increasingly being applied for population genetic and evolutionary analyses in a wide range of organisms [39–44].
Along with advances in methodologies for generating data have come novel analytical techniques that take advantage of genomic-scale datasets. These have great potential for studies of introgression because they provide the ability to distinguish between introgression and ancestral polymorphism, which is a significant issue when evaluating potential hybridization between closely related taxa. One example is Patterson’s D-statistic, which was first developed and applied to detect hybridization between different Hominid lineages based on genomic data [45, 46]. This approach has recently been used with RADSeq data to detect gene flow and identify introgressing loci in several non-model systems [41, 43, 44, 47].
In this paper, we use the modification of RADSeq data – ddRAD (double digest restriction-site associated DNA) to investigate the evolutionary origin of the purported hybrid taxa V. magnifica and V. orlovi. We assess these questions by 1) evaluating patterns of genetic structure among these groups using genetic clustering methods, and 2) testing for patterns of genetic introgression among the groups using ABBA/BABA tests and associated Patterson D-statistics. Our results support the hypothesis that these two groups arose through hybridization between the steppe viper V. renardi and the Caucasian viper V. kaznakovi. We discuss the results as they relate to the evolutionary history of these snakes and also in the context of their relevance to the conservation of these species.
Identification of loci
Approximately 3.3 x 106 reads were obtained for the 38 individuals sequenced. Analyses with and without the Outgroup samples resulted in the identification of 3651 and 1959 polymorphic loci, respectively. Of the 3651 polymorphic loci obtained when outgroup samples were included, 977 were genotyped in all of the samples, and were used for analyses.
Average number of alleles K, allelic richness AR, number of private alleles (Priv) and observed and expected heterozygosity (Ho and He) in samples of four species of Vipers
1.58 ± 0.65
1.32 ± 0.39
0.17 ± 0.22
0.17 ± 0.20
1.29 ± 0.48
1.29 ± 0.48
0.18 ± 0.32
0.12 ± 0.20
1.77 ± 0.67
1.42 ± 0.41
0.25 ± 0.25
0.22 ± 0.20
1.61 ± 0.66
1.22 ± 0.29
0.10 ± 0.15
0.12 ± 0.17
Pairwise Fst values calculated in Arlequin  for two parental species, V. kaznakovi and V. renardi, and two purported hybrid groups, V. magnifica and V. orlovi
Genetic cluster analyses
Interestingly, six out of seven V. renardi samples from territories adjacent to the Northwestern Caucasus also exhibited a low proportion (0.2 %–2 %) of V. kaznakovi genes, but the 95 % confidence interval for admixture overlapped zero in all but one of these samples. In contrast, no V. renardi samples from the populations from Elbrus Mountain in Central Caucasus or Crimea had any traces of admixture.
In summary, results from both clustering algorithms are consistent with V. kaznakovi and V. renardi representing pure parental taxa, but these analyses did not recognize differentiation of V. magnifica and V. orlovi at a comparable level. Both of these putative hybrid groups appear to be genetically most similar to V. kaznakovi, but also exhibit patterns consistent with introgression of genes from V. renardi.
Results of Patterson’s D-statistic test for taxa of putative hybrid origin (V. magnifica, V. orlovi)
Individual based calculations
Population based calculations
Number of tests, N
Patterson D, averaged across all tests
Number of ABBA sites, averaged across all tests
Number of BABA sites, averaged across all tests
Admixture proportion, f, %
Number of ABBA and BABA sites
0.24 ± 0.23
9.71 ± 2.60
5.99 ± 2.40
6.39 ± 6.05
0.26 ± 0.08
0.50 ± 0.18
16.63 ± 3.43
5.56 ± 2.30
19.02 ± 7.24
0.53 ± 0.03
Effects of variability in P1, P3 and outgroup samples on D-statistics
To evaluate the effect that variation among samples representing the P1, P3, and the Outgroup taxa may have on D-statistics, we tested for bias in D-statistics associated with including individual samples in P1, P3, and the Outgroup taxa. Specifically, we obtained D-statistics for all runs that contained a given sample in one of these groups. We then tested whether any of the samples representing P1, P3, or the Outgroup samples were associated with biased D-statistics. The choice of individual in each reference group (P1, P3 and the Outgroup) had a significant effect on D (p < 0.00001), though the overall magnitude of the mean differences was generally low and did not exceed 0.03 for the Outgroup specimens, and 0.09 and 0.08 for P1 and P3 samples, respectively. However, two notable outliers were V. kaznakovi individuals Kaz17 and Kaz3 in the P1 group, which increase this difference to 0.2939 and 0.1775, respectively, demonstrating that specimen choice can have substantial effects on the signal of introgression.
Evaluation of introgression in Caucasus vipers
Analyses of RAD loci using both clustering methods, explicit tests for introgression based on Patterson’s D-statistic and direct calculation of genome average ancestry using loci fixed for different SNP (Single-nucleotide Polymorphism) alleles between the two parental species all support the hypothesis that genetic introgression has influenced the evolution of the currently-described viper species V. orlovi and V. magnifica. The variation in terms of patterns of heterozygosity and Fst values are also consistent with introgression leading to the emergence of hybrid populations of these two taxa.
Previous studies have demonstrated how clustering methods and more direct approaches such as ABBA/BABA tests can complement each other in testing for historical introgression [i.e. 44]. For example, clustering methods have the advantage of allowing an exploration of the data without requiring any a priori assignment of samples to groups. However, confidently inferring introgression directly from these clustering methods can be difficult, as any patterns of genetic admixture produced from these methods can also arise from incomplete lineage sorting. ABBA/BABA tests provide an explicit way to distinguish between incomplete lineage sorting and introgression, but require a priori hypotheses about patterns of hybridization.
One drawback to ABBA/BABA tests is that nucleotide site patterns useful for this test are uncommon in the genome, and even with genomic-scale SNP data, the number of ABBA/BABA sites for a test can be limited. In these cases, statistical power for inferring historical introgression on a sample-by-sample basis can be low (often measured with Z-statistics that are based on bootstrap resampling of loci). In previous studies, when the number of sites was sufficient, the authors did not include sites which were heterozygous . In contrast we used both alleles at such sites so as not to lose any information, ran all possible combinations of the test, and summarized the results by averaging them. This approach both increased the number of informative loci, and allowed for an evaluation of the impact of variation among samples on D-statistic results.
Patterson’s D-statistic is calculated for four individual sequences at a time. When many individuals from each of the four groups are sequenced, and there is variation in both parental populations due to potential presence of admixed individuals, the explicit calculations of D-statistics for all possible combinations of sequences is the only way to avoid bias. Our analysis showed that for tests in which two specific V. kaznakovi samples were included as the P1 taxon, the average D-statistics over all P2 samples analyzed were biased as compared to all of the remaining P1, P3, and the Outgroup sample combinations. The specific reason for this bias is not clear, but it could be due to the use of introgressed specimens or geographically isolated subpopulations of V. kaznakovi themselves. For example, sample Kaz17, when tested as a possible hybrid (assigned as the P2 taxon in the ABBA/BABA test) has a mean D higher than V. magnifica (0.35 ± 0.24) (Additional file 1). This result suggests that when possible, D-statistic tests should be evaluated with multiple samples representing each taxon in order to account for any important variability introduced with different samples representing the P1, P3, and the Outgroup categories. While population-based calculations of D-statistics are less susceptible to stochasticity when a low number of informative sites are available, they have the disadvantage of potentially overlooking introgressed individuals assigned to P1 and P3 populations.
Durand et al.  and Eriksson and Manica  point to ancient subdivision as a possible source of inflated D-statistics. We feel this is not an issue with our data set: other analyses do not support presence of long-lasting subdivisions of viper populations in Caucasus: V. orlovi and V. magnifica do not form separate clusters (Fig. 3) or monophyletic clades (Fig. 2) which would be expected if they had been isolated from V. kaznakovi for considerable time. In addition, due to its northern position and the Pleistocene climatic fluctuations in this part of the Caucasus region, it seems unlikely that stable long term environmental barriers could exist leading to subdivided populations.
Both proposed hybrid taxa have similar magnitudes of Fst values when compared to each of the presumed parental species: low when compared to V. kaznakovi and high in comparisons with V. renardi. According to Fst values, V. magnifica is more similar to V. kaznakovi then V. orlovi (Table 2). At the same time they both have a low number of private alleles, (Table 1). Higher values of overall Ho in these two groups is expected under a scenario of hybridization. However, Ho is lower than He in V. renardi, which indicates possible inbreeding in this group.
Biology and ecology of viper hybridization
Most species of small vipers have allopatric distributions, and species complexes are ecologically linked to different habitat types, which together with geographic isolation lead to the development of reproductive barriers between species [23, 24, 32, 33]. There are only a few documented cases in which two or more genetically and ecologically distinct species live in sympatry, isolated by habitat preferences and altitude. These include V. berus and V. ursinii (Bonaparte, 1835) in Southern Europe , V. berus s. l. and V. renardi in Eastern Europe [51, personal observations], V. dinniki and V. lotievi Nilson et al. 1995 in Northern Caucasus , V. darevskii and V. eriwanensis in Transcaucasia , and V. ammodytes (Linnaeus, 1758), V. aspis (Linnaeus, 1758) and V. berus in Slovenia . The contact and possible coexistence of species in an ecotone has been documented between the closely related viper species V. aspis, V. latastei Boscá, 1878, and the more distantly related V. seoanei in Spain , where transition areas between different habitat types are associated with random hybridization between the vipers inhabiting them. The ecological differentiation and microhabitat segregation in this case prevents high levels of gene flow .
Though the area occupied by V. orlovi covers a considerable geographic range, no migrants representing pure parental species were found in sympatry with the hybrids, and are unlikely to be present due to the size of the range of V. orlovi compared to the activity range of individual snakes in vipers. In addition to this, several lines of genetic evidence argue against the occurrence of ongoing gene flow. For example, there was no pronounced clinal variation in the admixture proportion across V. orlovi localities, and also no evidence of a hybrid swarm in either V. orlovi or V. magnifica (Additional file 1, Fig. 3,). Instead, there are rather uniform admixture proportions within both V. orlovi and V. magnifica samples, indicating little or no current hybridization with parental species (though there are traces of introgression in marginal populations of V. renardi and V. kazankovi and the admixture proportions between the two hybrid groups did differ, with V. orlovi displaying more admixture than V. magnifica – Table 3, Fig. 5). In addition, low means of an inter-source population ancestry Q12 in V. magnifica or V. orlovi indicates that in our dataset none of individuals represented backcrosses where at least one of the parents was pure individual of V. kaznakovi or V. renardi.
In contrast to ongoing hybridization, these data broadly point to historical hybridization and introgression as factors in the evolution of V. orlovi and V. magnifica. Paleogeographic reconstructions  indicate a complex history involving numerous fluctuations between open and forest habitat type in the northwestern Caucasus throughout the Quaternary. This ecological instability, coupled with the proximity of northwestern Caucasus forests to the steppes of Cis-Caucasia, may have facilitated contact between the two species complexes (V. renardi and V. kaznakovi), resulting in hybridization, and/or may have established novel niches where hybrid specimens are more fit compared to parental individuals .
Though it appears to have happened in the past, the specific timescale for the hybridization is not clear from the data presented here. The earliest time at which hybridization likely could have occurred coincides with the time when steppe vipers first colonized the Northern Caucasus region, which was recently estimated at approximately 380,000 ybp . Nevertheless, more recent hybridization is also a possibility, potentially coinciding with anthropogenic effects that have influenced habitat and reduced the effectiveness of ecological reproductive barriers. Hybridization may have resulted from a range expansion by V. renardi that was associated with increases in secondary open grasslands (pastures) after anthropogenic deforestation of edge territories along the range of V. kaznakovi. Consequently, after the displacement and expulsion of local Circassians (Adygs) by the Russian Empire in 1864 , forests started to recover and open grasslands had eventually declined , which may have resulted in the current distributions and lack of ongoing gene flow between V. renardi and V. kaznakovi. Indeed, the habitat occupied by V. orlovi and V. magnifica in the northwestern Caucasus is a mosaic of drier sub-Mediterranean xerophyte forests, meadows, and mountain steppes that has experienced significant anthropogenic impacts, and has undergone succession after a change in the prevailing type of human activity over the past two centuries . Tendency towards Ho excess over He, higher allelic richness, and lower numbers of private alleles (Table 1) could be viewed as evidence consistent with more recent admixture, but without knowing baseline of these values under different historical scenarios involving hybridization we cannot draw any conclusions about the timing of admixture. Further analyses such as historical demographic modelling may help to better assess the timescale of these hybridization events.
In summary, we propose that human mediated habitat transformation in the contact zone between distant species of vipers may have resulted in novel habitats differing from those of the parental species that were colonized by a stabilized hybrid population. This population of V. orlovi which has originated through hybridization may possess a specific combination of parental genetic features that make it more fit in the particular environmental conditions. If this assumption is confirmed by additional ecological data and evidence of non-random introgression and fixation of adaptive alleles (adaptive divergence initiated by hybridization – ), V. orlovi may serve as an example of recent hybrid speciation initiated by habitat disturbance.
Taxonomic and conservation issues
V. orlovi is a critically endangered species according to the IUCN classification  and V. magnifica is listed as an endangered species , with both showing evidence of declining populations in nature. However, our results indicate that both have hybrid ancestry and are not distinct monophyletic lineages, and therefore cannot be described as taxa according to The International Code of Zoological Nomenclature . In turn, because they are not species or subspecies, they should be excluded from the IUCN Red list. Instead both V. orlovi and V. magnifica may be listed as regional populations within V. kaznakovi, with which they share the most genetic material and contain a considerable part of the genetic diversity of this species [59, 60]. At the same time, the hybrid populations between distinct lineages of small vipers that occupy habitats unique from the parental species are important for our understanding of evolution and speciation and should be conserved as a unique natural phenomenon and treated as distinct evolutionary entities deserving conservation attention . If we further assume that hybrid speciation may have occurred in this particular case of V. orlovi, it should be protected; this would mean that it may be recognized as a taxon of hybrid origin and that the official recommendations of The International Code of Zoological Nomenclature regarding hybrids must be changed, as well as the more general view of species as monophyletic groups in animals. However, V. magnifica has a more restricted distribution, a marginal signal of admixture, and non-distinct habitat differences, making this taxon equivalent to isolated V. kaznakovi populations, and so we believe it therefore should be synonymised with the latter.
According to our results, a hybridization event between V. kaznakovi and V. renardi contributed to genetic diversity that currently characterizes V. orlovi, which occurs in an intermediate habitat type relative to the two parental species. Contact zones between grasslands, which are typical habitats of V. renardi, and humid forest, which are typical habitats of V. kaznakovi, and/or human-mediated environmental disturbance, may have facilitated the formation of this hybrid group. Relative to V. orlovi, a smaller amount of introgression was detected in V. magnifica. Given this result, and an absence of ecological specialization associated with V. magnifica, we suggest that from both a taxonomic and conservation perspective it may best be treated as a marginal population of V. kaznakovi.
We sampled tissues from ethanol-preserved museum collection or dry shed skin obtained from alive snakes after shedding in a research collection of Tula Exotarium (Additional file 2). No additional fieldwork or experiments were carried out with snakes in nature or captivity.
V. renardi s. l., including V. lotievi sensu Tuniyev et al. , could be easily differentiated from all species of the V. kaznakovi complex, as it typically has one apical shield and a sharp snout . V. renardi samples (N = 13) were collected from populations in Southern Russia and Ukraine, including five specimens of V. lotievi from Elbrus Mountain in Central Caucasus and one specimen from Dagestan in Eastern Caucasus (Fig. 6, Additional file 2). Samples of V. berus (from Russia, N = 2) and V. seoanei (from Spain, N = 1), which occur in a clade sister to the clade containing V. renardi and V. kaznakovi [26, 28], were used as outgroup samples in the analyses.
DNA was extracted from blood, scale clips, shed skin, or ethanol fixed tissue using DNeasy Blood & Tissue Kits (Qiagen). DNA concentrations were measured on a Qubit 2.0 fluorometer (Invitrogen) and adjusted to a working concentration of 15 ng/uL.
Double-digest RADSeq libraries were generated with the protocol described in Sovic et al. . Briefly, genomic DNA was digested with EcoRI and SbfI restriction enzymes and barcoded adaptors were ligated onto the digestion products from each sample. Fragments of size 300–450 bp were then selected using gel electrophoresis, amplified using Polymerase Chain Reaction (PCR), and purified with streptavidin beads. Products were quantified by qPCR (Quantitative real-time PCR) using KAPA library quantification kits after 1:1500 dilution, and these qPCR measurements were used to pool individuals in equimolar concentrations for sequencing. Pooled libraries were run in single read 50-bp runs on an Illumina sequencer. SNP identification and genotyping were performed using AftrRAD version 3.3  with the following parameters: Phred quality scores had to exceed 20 to retain the base call, minimum average read depth was 20 per allele, reads were considered allelic if they exhibited at least 90 % sequence similarity, and paralogous loci were identified as loci with a minimum of 10 reads at a third allele in at least one individual. We retained for analysis only loci genotyped in all samples in the dataset.
Descriptive statistics of genetic variation
To assess whether presumably hybrid specimens appear to result from ongoing hybridization, we applied a method patterned after that of Gompert et al. . Specifically, we used a subsample of the dataset that included biallelic loci with different alleles fixed in V. kaznakovi and V. renardi. The admixture proportion q (similar to those obtained in STRUCTURE) was directly calculated from these allele frequencies in each individual. Knowing the admixture proportion q we can calculate the proportion of heterozygous loci (denoted as Q12 or inter-source population ancestry ). The maximum value of Q12 will occur in a case of ongoing hybridization when one of the parents is a pure parental individual. In the case of randomly mating hybrid population, Q12 will be the expected value of heterozygosity under Hardy-Weinberg equilibrium.
We constructed a Maximum Likelihood phylogenetic tree using RAxML v 8.2.4  using all concatenated loci and GTRCAT approximation of models for 1000 bootstrap replicates.
Genetic clustering was performed on 34 samples (excluding outgroup taxa and one sample of V. lotievi from Dagestan because the entire separate clade of V. lotievi from Dagestan  was represented by only one specimen) to evaluate potential genetic admixture using two different approaches. The first was STRUCTURE , which uses Bayesian methods to optimally cluster individuals under a simple admixture model by maximizing Hardy-Weinberg equilibrium within groups. We also clustered samples by Discriminant Analysis of Principal Components (DAPC), which uses a k-means clustering algorithm to identify groups rather than assuming Hardy-Weinberg equilibrium within groups, as implemented in the R package Adegenet 1.3–9.2 [68, 69]. Both methods can evaluate the amount of admixture of individuals either by calculating the posterior probability of assignment to parental populations (Structure) or by projecting individuals from parental and hybrid populations along axes of discriminant function scores (DAPC).
Structure was run for K values ranging from one to six, with three independent runs at each K. Each run consisted of 200000 MCMC iterations, after an additional burnin period of 20000, and allowed for admixture and correlated allele frequencies. The optimal number of clusters (K) was identified using Structure Harvester . No prior information about group assignment of individuals was provided.
For DAPC runs, the number of retained principal components was chosen based on the cumulative variance explained. The optimal number of clusters was then identified using Bayesian information criteria .
We assigned V. kaznakovi and V. renardi as the P1 and P3 groups, respectively, and tested for evidence of gene flow from V. renardi into each of the purported hybrid groups, V. orlovi and V. magnifica (P2, Fig. 7). We also calculated D statistics with V. kaznakovi and V. renardi as the P2 taxa, which served as controls representing minimum (V. kaznakovi) and maximum (V. renardi) levels of introgression. The tests in which V. renardi was included as the P2 group were also used to obtain the maximum potential number of introgressed sites for calculations of conservative minimum estimates of the admixture proportion f for V. magnifica and V. orlovi, according to equation 8 of Durand et al. .
Because we had multiple samples representing each of our taxa, we explored the impact that individual variation had on values of D by generating D-statistics for all possible combinations of individuals representing the P1, P3, and Outgroup taxa for each P2 sample tested. Each combination was run twice to account for both alleles in the diploid samples. Mean D and f statistics were obtained for each sample as the average over all runs for which the specific sample was included as the P2 taxon. This approach utilizes all of the information in the data, in contrast to previous treatments, which have either excluded all heterozygous loci from the analyses  or randomly taken one of two alleles from diploid samples . The mean D and f statistics were then averaged over all samples representing each P2 taxon or for each individual to draw inference regarding the occurrence of introgression, and to estimate admixture proportion. We used combination of dstat.R script (https://gist.github.com/coleoguy/6886683) modified by us and two Perl scripts to automate the process of generation of alignments from individual sequences and calculation of D statistic for each of these alignments.
The D statistic was also calculated from population allele frequencies according to Equation 2 in Durand et al . The derived allele at each locus was defined as the least frequent allele in the Outgroup. The significance of the observed D statistic was assessed by calculating D statistics from 100 bootstrapped datasets in which derived allele frequencies were resampled from a binomial distribution. This distribution was specified by the total number of alleles sampled in the original dataset and the observed frequency of the derived allele at the relevant locus/population combination.
Availability of data and materials
Raw Illumina reads of ddRAD libraries, barcode information and scripts to calculate individual and population D statistic are available from the Dryad Digital Repository: doi:10.5061/dryad.c5232.
Consent to publish
This paper was possible because of financial support from the Fulbright Scholar program (granted to OZ) and Ohio State University. Sample collection was supported by the Volkswagen foundation, associated with Project I/83 987 “Biodiversity and Evolution of the Central Asian and Caucasian vipers (Viperidae)”. We are also grateful to Boris Tuniyev, Natalia Ananyeva, Nikolay Orlov, Konstantin Shiryaev, Oleg Kukushkin, Daniel Melnikov, Andrey Bakiev, Valentina Orlova and Nikolaus Stümpel who provided samples and granted access to collections, Jose Diaz for help in laboratory, and Matthew Holding, Tony Fries, Glib Mazepa, David Salazar, Dmytro Kryvokhyzha, Robert Denton, Laura Kubatko, Paul Blischak and Miguel Vences for fruitful discussions and support. Comments of two anonymous reviewers helped to improve the original version of the paper.
Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.
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