- Research article
- Open Access
Comparative genomics and transcriptomics in ants provide new insights into the evolution and function of odorant binding and chemosensory proteins
© McKenzie et al.; licensee BioMed Central Ltd. 2014
- Received: 12 March 2014
- Accepted: 14 August 2014
- Published: 26 August 2014
The complex societies of ants and other social insects rely on sophisticated chemical communication. Two families of small soluble proteins, the odorant binding and chemosensory proteins (OBPs and CSPs), are believed to be important in insect chemosensation. To better understand the role of these proteins in ant olfaction, we examined their evolution and expression across the ants using phylogenetics and sex- and tissue-specific RNA-seq.
We find that subsets of both OBPs and CSPs are expressed in the antennae, contradicting the previous hypothesis that CSPs have replaced OBPs in ant olfaction. Both protein families have several highly conserved clades with a single ortholog in all eusocial hymenopterans, as well as clades with more dynamic evolution and many taxon-specific radiations. The dynamically evolving OBPs and CSPs have been hypothesized to function in chemical communication. Intriguingly, we find that seven members of the conserved clades are expressed specifically in the antennae of the clonal raider ant Cerapachys biroi, whereas only one dynamically evolving CSP is antenna specific. The orthologs of the conserved, antenna-specific C. biroi genes are also expressed in antennae of the ants Camponotus floridanus and Harpegnathos saltator, indicating that antenna-specific expression of these OBPs and CSPs is conserved across ants. Most members of the dynamically evolving clades in both protein families are expressed primarily in non-chemosensory tissues and thus likely do not fulfill chemosensory functions.
Our results identify candidate OBPs and CSPs that are likely involved in conserved aspects of ant olfaction, and suggest that OBPs and CSPs may not rapidly evolve to recognize species-specific signals.
- Chemical communication
- Comparative genomics
Eusocial insects, and ants in particular, are becoming increasingly popular models for the genetics and neurobiology of social behavior [1, 2]. Chemical communication is the predominant mode of coordination in insect societies and as such is essential for insect eusociality . Understanding the molecular and neural underpinnings of social insect chemosensation may therefore provide broad insight into social evolution and behavior . In insects, odorants are detected by receptor proteins embedded in olfactory and gustatory receptor neurons, which are located in porous sensilla and surrounded by sensillar lymph. Odorants enter the sensilla through the pores and diffuse through the sensillar lymph to the receptor proteins, binding and activating these proteins to produce action potentials in the receptor neurons. A variety of accessory proteins in the receptor lymph are also involved in this process, including two families of olfaction-related small soluble proteins (ORSSPs) – the odorant binding proteins (OBPs) and the chemosensory proteins (CSPs). These proteins help solubilize hydrophobic chemicals and may aid in odor detection, discrimination and coding [5, 6].
Although several studies have demonstrated the importance of ORSSPs in insect chemosensation (e.g. [7–10]), their exact function has been hard to pinpoint. Additionally, many proteins in both families are expressed in non-olfactory tissues and have been linked to such diverse functions as developmental patterning, internal pheromone transport and release, and leg regeneration [11–13]. Both OBPs and CSPs have evolved dynamically between insect orders, with high gene birth and death rates and highly variable copy numbers in different genomes . On the other hand, genes in both protein families appear to be more conserved at lower taxonomic levels, with mostly single-copy orthology in the genus Drosophila and family Aphidae, and a mix of single-copy orthology and dynamic evolution in the family Culicidae and in the wasp infraorder Aculeata (which contains all social hymenopterans including ants) [15–19]. No study has yet examined the links between evolutionary history and tissue localization, nor systematically examined ORSSP expression patterns in a broadly comparative context.
We therefore decided to investigate the evolution of ORSSP expression patterns in ants using genomics, phylogenetics, and transcriptomics. Methods include manual re-annotation of ant OBP and CSP gene families, manual annotation of OBP and CSP genes in the transcriptome of the paper wasp Polistes canadensis, extensive phylogenetic analyses, and a 14-library tissue-specific RNA-seq data set from the clonal raider ant Cerapachys biroi, supplemented by a re-analysis of four libraries of previously published RNA-seq data from the ants Harpegnathos saltator and Camponotus floridanus . We find that a stable set of eight conserved genes (three CSPs and five OBPs) present in single copy orthology across Aculeata are moderately to highly expressed in the antennae of the three divergent ant species, along with four to five genes from more dynamically evolving lineages previously hypothesized to act in chemical communication. Interestingly, seven of the conserved genes are expressed specifically in the antennae of Cerapachys biroi, while four of five dynamically evolving genes are more broadly expressed. These results indicate that antennal ORSSPs fulfill important and conserved roles in olfaction, rather than evolving rapidly to recognize specific ligands.
Number of annotated OBPs and CSPs in different species of eusocial Hymenoptera
Combined analysis of our eusocial hymenopteran dataset and other insect species revealed that the paralog groups are young, Aculeata-specific expansions. On the other hand, all ortholog clades within the ortholog group and the Obp59a group have Nasonia orthologs, and many also have non-Hymenoptera orthologs (Additional file 1: Figure S1). This indicates that the single-copy ortholog groups date back at least as far as the split between Hymenoptera and the rest of Endopterygota, ca. 350 MYA , while the other two groups are most likely younger than the most recent common ancestor of Nasonia and Aculeata, ca. 250 MYA .
To quantify the dynamism of the ant expansion and paralog groups compared to the single-copy orthology and Obp59a groups, we conducted statistical gene birth and death analyses for all four OBP groups (single-copy orthology groups, paralog group 1, paralog group 2, and Obp59a group) and both CSP groups (ant expansion group and single copy orthology group) using the CAFE and JPrIME-DLRS analyses [23, 24]. CAFE uses maximum likelihood modeling and ancestral state reconstruction of gene copy numbers and is thus likely conservative as it doesn’t take the gene tree (and thus parallel paralogy) into account. JPrIME-DLRS estimates birth and death rates jointly with a gene tree given a species tree, using the DLRS (duplication, loss, rates, and sequence evolution) model within a Bayesian MCMC framework.
Gene birth and death rates for each group of OBPs and CSPs as estimated by CAFE and JPrIME-DLRS
Negative log likelihoods for different CodeML models and P values of LRT tests comparing various models
We used branch-site tests of positive selection as described by Zhang et al.  to test for positive selection affecting each group. Zhang et al.’s branch-site test 1 (model A vs. M1a) can be positive when positive selection or relaxed selection is occurring along specified branches, while branch-site test 2 (model A alternative vs. model A null; also known as the branch-site test for positive selection) tests specifically for positive selection along specified branches. We ran branch-site tests for each group by setting all branches within each group in turn as foreground branches. Consistent with our clade model results, branch-site test 1 was significant for all groups except Obp59a (LRT, P < 0.001 for all groups except Obp59a, P = 0.059), but all groups were non-significant for test 2 (LRT, P > 0.05) indicating relaxed selection operating on all groups but the Obp59a group. We also split our data and ran site tests for positive selection for each group analyzed separately. Interestingly, although branch-site tests for positive selection (test 2) were negative for all groups, site tests for positive selection for each group analyzed separately were significant for the ant expansion CSP group and OBP paralog group 2 (M1a-M2a and M7-M8 LRTs, P < 0.05 for all comparisons). This could indicate that divergent relaxed selection is swamping the signal of divergent positive selection in the branch-site tests for these two groups. Bayes Empirical Bayes (BEB) analysis identified two sites with dn/ds significantly greater than one in the ant expansion CSP group for the M8 model, one of which was also significant in the M2a model. No OBP paralog group 2 sites had dn/ds significantly greater than one in either M8 or M2a models according to the BEB analysis.
Sex-specific antennal expression
A reanalysis of previously published sex-specific antennal RNA-seq data from the ants Harpegnathos saltator and Camponotus floridanus revealed expression profiles highly similar to those of C. biroi (Figure 3b and c). This was especially true for H. saltator, which showed nearly identical expression patterns for single-copy orthologs, except for a reversal in sex-specific enrichment for Obp5 and very low expression of Csp4. Two members of single-copy orthology clades, Obp5 and Obp6, are not annotated in the C. floridanus official gene set, as the assembly of the respective genomic regions is fragmentary. Thus, their expression levels were not included in the dataset. However, all other orthologs of proteins expressed in C. biroi antennae are likewise expressed in C. floridanus antennae. Several other genes are expressed at high levels in C. floridanus antennae, notably CfloCsp7, CfloObp7, and several CSPs in the paralog clade. Intriguingly, no annotated OBP or CSP was noticeably male-enriched in C. floridanus antennae in our analysis.
Female tissue-specific expression
Number of OBPs and CSPs expressed in each tissue at > 50 FPKM in females
Aculeate odorant binding and chemosensory proteins display similar phylogenetic patterns, with several highly conserved clades with single-copy orthologs in all or most species and one (CSPs) and two (OBPs) dynamically evolving clades with many species-specific expansions. In contrast to previous hypotheses [17, 18], it is primarily a conserved subset of single-copy orthologs which are expressed in ant antennae. In Cerapachys biroi, only one dynamically evolving CSP is expressed specifically in antennae, in contrast to five conserved OBPs and two conserved CSPs showing antenna-specific expression. This is also the first study to demonstrate antenna-specific expression of OBPs in ants, contradicting the hypothesis that CSPs alone are expressed antenna-specifically in ants . Our results suggest that OBPs and CSPs primarily fulfill important conserved roles in ant olfaction rather than dynamically evolving to recognize species-specific odorants.
Ants use both OBPs and CSPs for olfaction
Krieger and Ross  identified the first ant odorant binding protein in the fire ant Solenopsis invicta, gp-9/SinvObp3. However, this protein is not antenna specific, but rather broadly expressed in the hemolymph . Ishida et al.  identified a single antenna-specific CSP in the Argentine ant Linepithema humile, and later Leal and Ishida  identified an antenna-specific CSP in S. invicta. Ozaki et al.  found a CSP in the antennae of Camponotus japonicus, which was shown to function in chemical nestmate recognition. All of these studies were limited to identifying a single major antennal protein, although studies in other organisms indicate that many binding proteins likely contribute to olfaction [25, 34]. Despite the scant evidence, Calvello et al.  proposed that ants may preferentially use CSPs rather than OBPs for olfaction. More recently, Gonzalez et al.  found an additional OBP (SinvObp1) in S. invicta antennae using shotgun proteomics. However, it was not tested whether this protein was antenna specific or expressed throughout the body, as is the case for SinvObp3.
Our systematic investigation of ORSSP expression revealed that OBPs as well as CSPs can be specifically expressed in the antennae of ants. Only a small subset of each protein family is antenna specific in workers, however, with only eight antenna-specific small soluble proteins in C. biroi. Five additional proteins expressed in C. biroi antennae and legs may be involved in gustatory chemosensation (see below). In contrast, there are between nine and sixteen OBPs, and between one and three CSPs thought to be involved in olfaction in the honey bee Apis mellifera[25, 36], and this has been considered a remarkably low number relative to dipterans, which possess 45 to 80 OBPs alone, most of which are expressed specifically in chemosensory organs [14, 34]. The low number of antenna-specific OBPs and CSPs in ants is an enigma, as ants show remarkable olfactory abilities and advanced chemical communication. As has been proposed for A. mellifera, ants may compensate for a lack of olfactory small soluble proteins by the expansion of chemosensory receptor genes. Indeed, ants possess more than twice as many odorant receptors (ORs) as A. mellifera, and well over four times as many as D. melanogaster [4, 37–41]. However, OR and ORSSP repertoires are not necessarily inversely correlated. For example, the red flour beetle (Tribolium castaneum) has more ORs than A. mellifera, and nearly three times the combined number of OBPs and CSPs [14, 42].
Three OBPs and two CSPs are expressed at moderate to high levels in both antennae and legs of C. biroi and may also be involved in gustatory chemosensation, especially as legs are known to be involved in taste in other species including the honey bee [43–45]. Alternatively, these genes may be generally associated with the cuticle but not serve chemosensory functions. For example, several D. melanogaster OBPs are highly expressed in the cuticle, but not specifically in the chemosensory hairs [34, 46]. Forêt et al.  hypothesized that some CSPs may function in cuticle synthesis. Antennae and legs are the most cuticle-rich tissues sequenced in our study, thus expression of these genes is directly correlated with relative cuticle abundance.
Conservation of antennal expression in OBPs and CSPs
Both Gotzek et al.  and Kulmuni et al.  speculated that the more dynamically evolving OBPs and CSPs were more likely to be expressed in the antennae and involved in olfactory processes, especially pheromone perception. This is because pheromones themselves evolve rapidly and dynamically , and if any ORSSPs specifically recognized pheromones they should co-evolve with the respective pheromones. Our results contradict this hypothesis, showing that primarily a stable set of conserved OBPs and CSPs are expressed specifically in the antennae of ants. This is corroborated by the fact that two of three previously identified antennal-specific ORSSPs (LhumCsp1 , CjapCsp1 ) are in single-copy ortholog clades with the antenna-specific CbirCsp1. Although most relationships between OBP single-copy ortholog clades are poorly supported, the antennally expressed OBPs Obp5 and Obp6 form a well-supported clade in all analyses. Phylogenetic and expression data are thus consistent with transitions between antennal and non-antennal expression of OBPs occurring four times prior to the evolution of ants, with subsequent complete conservation of antennal expression among ants. CSPs Csp1 and Csp4 are not particularly closely related and likely represent independent transitions between antennal and non-antennal expression, and one to a few additional proteins in the rapidly evolving ant expansions CSP clade appear to be recruited to antennal expression.
The conservation of expression may extend even further than ants. One antenna-specific C. biroi CSP (CbirCsp4) and all but one antenna-specific C. biroi OBP (CbirObp59a) have antenna-specific orthologs in A. mellifera [25, 36]. CbirCsp1 also has antenna-specific orthologs in Polistes dominula and Vespa crabro [29, 48]. An interesting case is Obp59a, which is present in all ants and is antenna specific in C. biroi, but missing in A. mellifera and thus previously missed in the ant OBP annotations. This protein is exceptional in two ways: it is the lowest expressed antenna-specific protein in C. biroi, and it is present in single-copy orthology in every single insect species examined by us and Vieira and Rozas  except A. mellifera. In D. melanogaster, Obp59a is highly enriched in heads (including antennae and palps) compared to all other tissues, and the respective protein has been detected in the antennae by proteomic studies [49, 50]. This protein may thus represent an extreme example of olfactory function conservation. Although Vieira and Rozas  highlight the parallels of this gene with ORCO, a universally conserved and highly expressed odorant co-receptor necessary for the function of all ORs, the lack of Obp59a in A. mellifera, combined with its low expression level in C. biroi antennae, does not support such a critical role.
It should also be noted that the ant orthologs of the A. mellifera c-minus clade (e.g. HsalObp7 and CfloObp7, no phylogenetic relation to CbirObp7), which are moderately expressed in the antennae of H. saltator and C. floridanus, may also be specifically expressed in the antennae of ant species with functional copies of these genes. Only a small pseudogene fragment of the C. biroi ortholog remains (CbirObpfrag4), and, due to the lack of functional members of this clade in C. biroi, we could not determine antenna specificity.
There is growing debate over whether OBPs and CSPs directly recognize odorants and contribute to odor coding or act as more or less specific odorant solubilizing agents [5, 6, 51, 52]. Selective binding of odorants by certain OBPs and CSPs initially indicated that they may indeed be essential for odorant recognition [53, 54]. Structural studies showing large conformational shifts upon odorant binding suggested a model wherein binding proteins specifically recognize odorants, alter conformation upon binding, and then directly activate ORs [55, 56]. This was seemingly confirmed by a study of the D. melanogaster OBP Lush, which showed that a recombinant LUSH protein stuck in bound conformation could directly activate a pheromone-sensitive odorant receptor . However, other studies have called into question the proposed selectivity of OBP and CSP binding, as well as the implications of binding affinities for in vivo function [58, 59]. Additionally, a recent study has demonstrated that conformationally activated LUSH is not an in vivo ligand for pheromone-sensitive ORs, and suggested a broader role for LUSH in solubilizing multiple fly pheromones .
Given the startling array of chemicals different ant species use for communication , it seems unlikely that the few OBPs and CSPs expressed in chemosensory organs could selectively recognize a large proportion of pheromone components. Furthermore, pheromones are known to evolve rapidly and dynamically , and receptor proteins known to specifically recognize odorants also evolve rapidly and dynamically, with many gene births and deaths even within families and genera [4, 61]. The highly conserved nature of most antenna-specific OBPs and CSPs indicates that they are not evolving to specifically recognize new pheromones and likely do not specifically recognize other odorants. Although one to three dynamically evolving CSPs may be recruited for chemosensation in a given ant species, this number is clearly not sufficient to recognize all of the species-specific chemical signals. Our data suggest that, rather than specifically recognizing pheromones, most ant ORSSPs fulfill important, highly conserved, and more general roles in olfaction. 
Contrary to previous expectations, both odorant binding proteins and chemosensory proteins are expressed specifically in antennae of the clonal raider ant Cerapachys biroi and therefore likely serve olfactory functions. Our findings show that an evolutionarily stable core group of highly conserved small soluble proteins are antennally expressed in ants. Additionally, we propose that a few proteins are also recruited from more dynamically evolving lineage-specific expansions, preferentially from the ant expansion CSP group. In total, between eight and fourteen OBPs and CSPs are potentially involved in chemosensation in the species we examined. Given the startlingly large array of pheromones used in ants, we suggest that there are too few small soluble proteins to specifically recognize individual pheromones. The striking evolutionary stability of antennal expression rather indicates that chemosensory ORSSPs participate in important and highly conserved processes. Future functional studies should address questions such as whether ligand binding and solubilization properties are conserved in the conserved antenna-specific small soluble proteins, and whether the few CSPs recruited from the more dynamically evolving ant expansion clade are involved in more dynamically evolving processes such as chemical communication.
Experimental colonies were maintained in airtight 12 x 12 x 12 cm plastic containers with a 2 cm deep plaster of Paris floor. Two connected circular recesses (25 mm in diameter, 2 mm deep) that were covered by a glass slide served as the nest chamber. Colonies were fed a diet of frozen fire ant (Solenopsis invicta) brood. Colonies of C. biroi alternate between brood care and reproductive phases in stereotypical cycles . Because gene expression can vary significantly between these behavioral states , we attempted to minimize gene expression noise by standardizing age and behavioral stage for all female samples. For the first sequencing experiment (male and female antennal transcription), 25 one-month old females were collected from a colony (MLL4 in Kronauer et al. ) halfway into the brood care phase, while males were collected opportunistically from large stock colonies over four years (9 individuals from MLL1 and 2 individuals from MLL6). For the second experiment (tissue-specific sequencing), one-month old females were collected from colonies two days into the brood care phase. We sequenced four tissue-specific libraries (antennae, heads without antennae, legs, body (thorax and abdomen)) for each of three clonal lineages (MML1, MLL4, and MLL6 in Kronauer et al. ).
Tissue dissection, RNA preparation, and sequencing
For the first experiment, live ants were flash frozen following collection and stored at -80°C. Antennae were dissected on dry ice and immediately transferred to 1.5 ml tubes on dry ice. Antennae were homogenized with a Qiagen TissueLyser II in Qiagen buffer RLT, and RNA was extracted using the RNeasy protocol (Qiagen). cDNA libraries were constructed using Illumina TrueSeq kits and samples were run on an Illumina HiSeq 2000 platform for 100 cycles with paired-end reads. Library preparation and sequencing was performed at the Rockefeller University Genomics Resource Center.
Summary of experimental design for RNA-seq experiments
Individuals pooled per replicate
Total number of libraries
Average number of reads per library
Sex-specific antennal expression
25 females or 11 males
antennae (two per individual)
100 bp paired-end
Tissue-specific expression in females
antennae (two per individual), heads, legs (six per individual), thoraces & abdomens
100 bp single-end
Expression quantification and statistical analyses
Tophat v2.0.4  was used to align Illumina reads to the C. biroi genome (assembly v3.0, with pre-alignment to OGS 1.8.6 , max mismatch (-N) = 2, max intron length (-I) = 50000) and the CuffDiff algorithm of Cufflinks v2.0.2 (all parameters set to defaults)  was used to quantify gene expression of the predicted OBPs and CSPs (OGS 1.8.6) and test for significant tissue enrichment. Significance values reported are CuffDiff P values corrected for false discovery rate (the q value of the output file). Additional file 3 gives Cufflinks quantification for all genes in OGS 1.8.6.
Gene sequences, re-annotation, and nomenclature
Cerapachys biroi sequences were obtained from our previous extensive manual annotation of C. biroi chemosensory genes . Additionally, we used ABySS v1.3.4  to build a de novo assembly of whole-body transcriptomic data from Oxley et al.  to fill-out incomplete sequences (Dryad doi pending). This led to the discovery of two additional OBPs (CbirObp3 and CbirObp4) that are not present in the current genome assembly (v3.0).
Although most eusocial hymenopteran CSPs are well annotated, automatic genome annotation of OBPs is highly error prone and in many sequenced ants the OBPs are currently rather poorly annotated. We thus restricted our analyses to species with extensive manual annotation of the OBP gene family or else de novo assembled transcriptomic data, namely Solenopsis invicta , Pogonomyrmex barbatus , Linepithema humile , C. biroi , A. mellifera , and Polistes Canadensis . Although high-quality CSP sequences are available for all ant species with sequenced genomes, we chose to restrict our CSP analysis to the same taxa that we used for the OBP analysis in order to make the BAli-Phy  analysis computationally feasible. The sequences for these taxa were obtained from Kulmuni et al.  Oxley et al. , Forêt et al. , and Ferreira et al. . Because antennal transcript quantification data were available for the ants Harpegnathos saltator and Camponotus floridanus , we also manually re-annotated OBPs and CSPs in these species and included them in our phylogenetic analyses. We found several previously un-annotated OBPs in both species and one un-annotated CSP in each species. Antennal transcript quantification was not available for most of these genes (and many of the CSPs identified by Kulmuni et al. ) because they are not even partially represented in the official gene sets. If these genes were in single-copy orthologous groups this is noted in Figure 3. We also discovered a single-copy orthologous clade of OBPs not previously known in eusocial hymenopterans, Obp59a (named after the Drosophila melanogaster ortholog so as to allow the same name for orthologs in all species without disrupting the naming systems of Smith CR et al.  and Smith CD et al. ). Members of this clade were manually annotated for all species included in the phylogenetic analyses. Manual annotation followed Oxley et al. . Additional file 4 lists all newly annotated OBPs and CSPs along with their CDS and protein sequences, genomic location, and exon structure using BED block size-block start format. For our extended insect OBP and arthropod CSP phylogenetic analyses, Nasonia vitripennis OBP sequences were obtained from Vieira et al.  and N. vitripennis CSP sequences from the official gene set , while all non-Hymenoptera sequences were obtained from Vieira and Rozas .
Ant CSPs have been renamed in several different studies, with the most recent and comprehensive naming system being that of Kulmuni et al. . However, because Kulmuni et al.’s naming system fails to describe the orthology of ant and bee CSPs, we decided not to follow this system, but to name ant CSPs according to the previously established nomenclature for honey bee CSPs . Genes in the single-copy ortholog groups were renumbered according to the A. mellifera ortholog when existent, and, following the identification of an additional potential single-copy ortholog group missed by Kulmuni et al. , all Csp8s were renumbered. This new group may be orthologous to AmelCsp5, but these proteins are so highly divergent that they do not always cluster as a clade in the maximum likelihood analyses. This gene seems to have been lost in the myrmecines and is highly pseudogenized in L. humile, although we did find it in H. saltator and C. floridanus and manually annotated it as mentioned above. Additional file 5 gives the translation between our CSP nomenclature and the various CSP naming systems used previously.
Although it has been hypothesized that OBPs and CSPs are homologous  the high sequence divergence between the two families prohibits combined phylogenetic analyses. We therefore analyzed each family separately. For each family, amino acid sequences were aligned using the MAFFT (v7.149) multiple sequence alignment algorithm using the E-INS-i strategy with the default offset value (0) for OBPs as they have multiple large gaps, and the G-INS-i strategy with an offset value of 0.123 for CSPs as they largely share global homology and are all about the same length . The ProtTest server (v2.4)  with AICc selection criteria was used to determine the best fitting model of protein evolution for each family, in both cases the LG model  with gamma-distributed rate variation and a portion of invariant sites. Phylogenetic hypotheses were constructed using RAxML v8.0.22 , and node support was assessed using the bootstrap method with 100 bootstrap replicates. We performed these analyses both including and excluding the signal peptides using the SignalP-noTM algorithm of the SignalP v4.1 software. Topologies were nearly identical between the two treatments, differing at only a few nodes with poor support in both analyses (Additional file 6: Figure S3). Support values were also similar between the two treatments. Following Gotzek et al. , the topologies and support values shown in the main manuscript are based on the analyses including the signal peptides as these likely contain significant phylogenetic information.
Because of the highly divergent nature of OBPs and CSPs and the resulting difficulties with multiple sequence alignment (MSA), we also used the Bayesian inference software BAli-Phy (v2.1.1) , which co-estimates MSA with phylogeny in a Bayesian MCMC framework, thus integrating over alignment error and providing robust phylogenetic hypotheses. Two runs using default parameters and the LG + I + GAMMA model of protein evolution were conducted for each gene family. OBPs were run for 100,000 iterations, while CSPs were run for 400,000 itereations. Chain convergence was assessed by calculating potential scale reduction factors (PSRF) and average standard deviation of split frequencies (ASDSF) between runs, while effective sample size (ESS) was calculated using Tracer v1.7 . For both OBPs and CSPs, PSRFs were less than 1.05, ESSs were greater than 800, and ASDSFs were less than 0.005, indicating that chains had converged . All alignments and phylogenetic trees have been uploaded to the Dryad database http://doi.org/10.5061/dryad.4h56c.
Gene birth and death rates were calculated using CAFE v3.0 and JPrIME DLRS v0.2.1 [23, 24]. Because recent phylogenomic studies topologically conflict with trees used in previous Aculeata divergence dating studies [66, 76], we were forced to build an ultrametric species tree and calculate divergence times ourselves. For this, we used the single copy ant and bee genes from Oxley et al.  and found P. canadensis orthologs using the exonerate search algorithm . We then realigned all genes with a P. canadensis ortholog using Muscle  and concatenated them into a single supergene. A maximum likelihood tree was then built using RAxML v7  with the LG + Gamma model of evolution, and this tree was then made ultrametric using the r8s software by constraining the root node and using the LF method and TN algorithm . All branches were then rescaled to set the best-characterized divergence (Harpegnathos saltator and the formicoids) to 120mya following Moreau and Bell . This tree was used for all CAFE and JPrIME DLRS analyses. Our MAFFT alignments and the LG + I + Gamma model of sequence evolution were used for JPrIME DLRS. One JPrIME DLRS chain of 100,000,000 iterations was run for each group, and Tracer was used to calculate model parameter values and ESSs for each chain. All parameters had ESSs greater than 400 in all chains.
The codeml tool of paml v4.7  was used to analyze selection pressures. MAFFT alignments and RAxML topologies were used in all codeml runs, with sequences and branches pruned manually when subsets were analyzed. Site models 0, 1, 2, 7, and 8 were run on both complete datasets and then each group independently. Clade model C was run on both complete datasets with each group marked as an independent clade, then compared with the M2a_rel model. For branch-site tests, all branches in a given group were marked as foreground branches with all other branches in all other groups (and between groups) left as background branches. This was done in turn for all groups. Models and model comparisons are described and discussed in [27, 81–84].
Availability of supporting data
The data sets supporting the results of this article are available in the NCBI Sequence Read Archive under accession numbers SRR1300620, SRR1477338, SRR1481486, SRR1481489, SRR1481493, SRR1481497, SRR1502786, SRR1502847, SRR1502788, SRR1502787, SRR1502848, SRR1502859, SRR1503196, and SRR1503195 and the Dryad database http://doi.org/10.5061/dryad.4h56c.
We thank Xiaofan Zhou and Laurence Zwiebel for access to antennal transcriptomic data for H. saltator and C. floridanus, and the Rockefeller University Genomics Resource Center for help with RNA sequencing. This work was supported by NRSA Training Grant #GM066699, grant 1DP2GM105454-01 from the NIH to DJCK, a grant from Rockefeller University to DJCK, and a grant from the Leon Levy Foundation for Mind, Brain and Behavior to PRO.
- LeBoeuf AC, Benton R, Keller L: The molecular basis of social behavior: models, methods and advances. Curr Opin Neurobiol. 2012, 23: 3-10.PubMedView ArticleGoogle Scholar
- Libbrecht R, Oxley P, Kronauer DJC, Keller L: Ant genomics sheds light on the molecular regulation of social organization. Genome Biol. 2013, 14: 212-PubMed CentralPubMedView ArticleGoogle Scholar
- Richard FJ, Hunt JH: Intracolony chemical communication in social insects. Insect Soc. 2013, 60: 275-291.View ArticleGoogle Scholar
- Zhou X, Slone JD, Rokas A, Berger SL, Liebig J, Ray A, Reinberg D, Zwiebel LJ: Phylogenetic and transcriptomic analysis of chemosensory receptors in a pair of divergent ant species reveals sex-specific signatures of odor coding. PLoS Genet. 2012, 8: e1002930-PubMed CentralPubMedView ArticleGoogle Scholar
- Pelosi P, Zhou JJ, Ban LP, Calvello M: Soluble proteins in insect chemical communication. Cell Mol Life Sci. 2006, 63: 1658-1676.PubMedView ArticleGoogle Scholar
- Leal WS: Odorant reception in insects: roles of receptors, binding proteins, and degrading enzymes. Annu Rev Entomol. 2013, 58: 373-391.PubMedView ArticleGoogle Scholar
- Matsuo T, Sugaya S, Yasukawa J, Aigaki T, Fuyama Y: Odorant-binding proteins OBP57d and OBP57e affect taste perception and host-plant preference in Drosophila sechellia. PLoS Biol. 2007, 5: e118-PubMed CentralPubMedView ArticleGoogle Scholar
- Sengul MS, Tu Z: Expression analysis and knockdown of two antennal odorant-binding protein genes in Aedes aegypti. J Insect Sci. 2010, 10: 1-18.View ArticleGoogle Scholar
- Swarup S, Morozova TV, Sridhar S, Nokes M, Anholt RRH: Modulation of feeding behavior by odorant-binding proteins in Drosophila melanogaster. Chem Senses. 2014, 39: 125-132.PubMed CentralPubMedView ArticleGoogle Scholar
- Swarup S, Williams TI, Anholt RRH: Functional dissection of Odorant binding protein genes in Drosophila melanogaster. Genes Brain Behav. 2011, 10: 648-657.PubMed CentralPubMedView ArticleGoogle Scholar
- Nomura A, Kawasaki K, Kubo T, Natori S: Purification and localization of p10, a novel protein that increases in nymphal regenerating legs of Periplaneta americana (American cockroach). Int J Dev Biol. 1992, 36: 391-398.PubMedGoogle Scholar
- Maleszka J, Forêt S, Saint R, Maleszka R: RNAi-induced phenotypes suggest a novel role for a chemosensory protein CSP5 in the development of embryonic integument in the honeybee (Apis mellifera). Dev Genes Evol. 2007, 217: 189-196.PubMedView ArticleGoogle Scholar
- Dani FR, Michelucci E, Francese S, Mastrobuoni G, Cappellozza S, La Marca G, Niccolini A, Felicioli A, Moneti G, Pelosi P: Odorant-binding proteins and chemosensory proteins in pheromone detection and release in the silkmoth Bombyx mori. Chem Senses. 2011, 36: 335-344.PubMedView ArticleGoogle Scholar
- Vieira FG, Rozas J: Comparative genomics of the odorant-binding and chemosensory protein gene families across the Arthropoda: Origin and evolutionary history of the chemosensory system. Genome Biol Evol. 2011, 3: 476-490.PubMed CentralPubMedView ArticleGoogle Scholar
- Vieira FG, Sánchez-Gracia A, Rozas J: Comparative genomic analysis of the odorant-binding protein family in 12 Drosophila genomes: purifying selection and birth-and-death evolution. Genome Biol. 2007, 8: R235-PubMed CentralPubMedView ArticleGoogle Scholar
- Zhou JJ, Vieira FG, He XL, Smadja C, Liu R, Rozas J, Field LM: Genome annotation and comparative analyses of the odorant binding proteins and chemosensory proteins in the pea aphid Acyrthosiphon pisum. Insect Mol Biol. 2010, 19: 113-122.PubMedView ArticleGoogle Scholar
- Gotzek D, Robertson HM, Wurm Y, Shoemaker D: Odorant binding proteins of the red imported fire ant Solenopsis invicta: an example of the problems facing the analysis of widely divergent Proteins. PLoS One. 2011, 6: e16289-PubMed CentralPubMedView ArticleGoogle Scholar
- Kulmuni J, Wurm Y, Pamilo P: Comparative genomics of chemosensory protein genes reveals rapid evolution and positive selection in ant-specific duplicates. Heredity. 2013, 110: 538-547.PubMed CentralPubMedView ArticleGoogle Scholar
- Manoharan M, Chong MNF, Vatinadapoul A, Frumence E, Sowdhamini R, Offmann B: Comparative genomics of odorant binding proteins in Anopheles gambiae, Aedes aegypti, and Culex quinquefasciatus. Genome Biol Evol. 2013, 5: 163-180.PubMed CentralPubMedView ArticleGoogle Scholar
- Wiegmann BM, Trautwein MD, Kim JW, Cassel BK, Bertone MA, Winterton SL, Yeates DK: Single-copy nuclear genes resolve the phylogeny of the holometabolous insects. BMC Biol. 2009, 24: 7-34.Google Scholar
- Ronquist F, Klopfstein S, Vilhelmsen L, Schulmeister S, Murray DL, Rasnitsyn AP: A total-evidence approach to dating with fossils applied to the early radiation of the Hymenoptera. Systematic Biol. 2011, 61: 973-999.View ArticleGoogle Scholar
- Regier JC, Shultz JW, Kamib RE: Pancrustacean phylogeny: hexapods are terrestrial crustaceans and maxillopods are not monophyletic. Proc R Soc B. 2005, 272: 395-401.PubMed CentralPubMedView ArticleGoogle Scholar
- Han MV, Thomas GWC, Lugo-Martinez J, Hahn MW: Estimating gene gain and loss rates in the presence of error in genome assembly and annotation using CAFE 3. Mol Biol Evol. 2012, 30: 1987-1997.View ArticleGoogle Scholar
- Sjöstrand J, Sennblad B, Arvestad L, Lagergren J: DLRS: gene tree evolution in light of a species tree. Bioinformatics. 2012, 28: 2994-2995.PubMedView ArticleGoogle Scholar
- Forêt S, Maleszka R: Function and evolution of a gene family encoding odorant binding-like proteins in a social insect, the honey bee (Apis mellifera). Genome Res. 2006, 16: 1404-1413.PubMed CentralPubMedView ArticleGoogle Scholar
- Yang Z: PAML 4: a program package for phylogenetic analysis by maximum likelihood. Mol Biol Evol. 2007, 24: 1586-1591.PubMedView ArticleGoogle Scholar
- Zhang J, Nielsen R, Yang Z: Evaluation of an improved branch-site likelihood method for detecting positive selection at the molecular level. Mol Biol Evol. 2005, 12: 2472-2479.View ArticleGoogle Scholar
- Kronauer DJC, Pierce NE, Keller L: Asexual reproduction in introduced and native populations of the ant Cerapachys biroi. Mol Ecol. 2012, 21: 5221-5235.PubMedView ArticleGoogle Scholar
- Calvello M, Brandazza A, Navarrini A, Dani FR, Turillazzi S, Felicioli A, Pelosi P: Expression of odorant-binding proteins and chemosensory proteins in some Hymenoptera. Insect Biochem Mol Biol. 2005, 35: 297-307.PubMedView ArticleGoogle Scholar
- Krieger MJB, Ross KG: Identification of a major gene regulating complex social behavior. Science. 2002, 11: 328-332.View ArticleGoogle Scholar
- Leal WS, Ishida Y: Gp-9 s are ubiquitous proteins unlikely involved in olfactory mediation of social organization in the red imported fire ant Solenopsis invicta. PLoS One. 2008, 3: e3762-PubMed CentralPubMedView ArticleGoogle Scholar
- Ishida Y, Chiang V, Leal WS: Protein that makes sense in the Argentine ant. Naturwissenschaften. 2002, 89: 505-507.PubMedView ArticleGoogle Scholar
- Ozaki M, Wada-Katsumata A, Fujikawa K, Iwasaki M, Yokohari F, Satoji Y, Nisimura T, Yamaoka R: Ant nestmate and non-nestmate discrimination by a chemosensory sensillum. Science. 2005, 309: 311-314.PubMedView ArticleGoogle Scholar
- Galindo K, Smith DP: A large family of divergent Drosophila odorant-binding proteins expressed in gustatory and olfactory sensilla. Genetics. 2001, 159: 1059-1072.PubMed CentralPubMedGoogle Scholar
- Gonzalez D, Zhao Q, McMahan C, Velasquez D, Haskins WE, Sponsel V, Cassil A, Renthal R: The major antennal chemosensory protein of red imported fire ant workers. Insect Mol Biol. 2009, 18: 395-404.PubMed CentralPubMedView ArticleGoogle Scholar
- Forêt S, Wanner KW, Maleszka R: Chemosensory proteins in the honey bee: insights from the annotated genome comparative analyses and expressional profiling. Insect Biochem Mol Biol. 2007, 37: 19-28.PubMedView ArticleGoogle Scholar
- Robertson HM, Wanner KW: The chemoreceptor superfamily in the honey bee Apis mellifera: expansion of the odorant but not gustatory receptor family. Genome Res. 2006, 16: 1395-1403.PubMed CentralPubMedView ArticleGoogle Scholar
- Guo S, Kim J: Molecular evolution of Drosophila odorant receptor genes. Mol Biol Evol. 2007, 24: 1198-1207.PubMedView ArticleGoogle Scholar
- Smith CR, Smith CD, Robertson HM, Helmkampf M, Zimin A, Yandell M, Holt C, Hu H, Abouheif E, Benton R, Cash E, Croset V, Currie CR, Elhaik E, Elsik CG, Favé MJ, Fernandes V, Gibson JD, Graur D, Gronenberg W, Grubbs KJ, Hagen DE, Viniegra AS, Johnson BR, Johnson RM, Khila A, Kim JW, Mathis KA, Munoz-Torres MC, Murphy MC, et al: Draft genome of the red harvester ant Pogonomyrmex barbatus. PNAS. 2011, 108: 5667-5672.PubMed CentralPubMedView ArticleGoogle Scholar
- Smith CD, Zimin A, Holt C, Abouheif E, Benton R, Cash E, Croset V, Currie CR, Elhaik E, Elsik CG, Fave MJ, Fernandes V, Gadau J, Gibson JD, Graur D, Grubbs KJ, Hagen DE, Helmkampf M, Holley JA, Hu H, Viniegra AS, Johnson BR, Johnson RM, Khila A, Kim JW, Laird J, Mathis KA, Moeller JA, Muñoz-Torres MC, Murphy MC, et al: Draft genome of the globally widespread and invasive Argentine ant (Linepithema humile). PNAS. 2011, 108: 5673-5678.PubMed CentralPubMedView ArticleGoogle Scholar
- Oxley P, Lu J, Fetter-Pruneda I, McKenzie SK, Li C, Hu H, Zhang G, Kronauer DJC: The genome of the clonal raider ant (Cerapachys biroi), a new model system for social evolution and behavior. Current Biol. 2014, 24: 451-458.View ArticleGoogle Scholar
- Engsontia P, Sanderson AP, Cobb M, Walden KKO, Robertson HM, Brown S: The red flour beetles large nose: an expanded odorant receptor gene family in Tribolium castaneum. Insect Biochem Mol Biol. 2008, 38: 387-397.PubMedView ArticleGoogle Scholar
- Rogers SM, Newland PL: The neurobiology of taste in insects. Adv Insect Phys. 2003, 31: 141-204.View ArticleGoogle Scholar
- de Brito Sanchez MG, Chen C, Li J, Liu F, Gauthier M, Giurfa M: Behavioral studies on tarsal gustation in honeybees: sucrose responsiveness and sucrose-mediated olfactory conditioning. J Comp Pysiol A. 2008, 194: 861-869.View ArticleGoogle Scholar
- de Brito Sanchez MG, Lorenzo E, Su S, Liu F, Zhan Y, Giurfa M: The tarsal taste of honey bees: behavioral and electrophysiological analyses. Fron Behav Neurosci. 2014, 8: 25-Google Scholar
- Park SK, Shanbhag SR, Wang Q, Hasan G, Steinbrecht RA, Pikielny CW: Expression patterns of two putative odorant-binding proteins in the olfactory organs of Drosophila melanogaster have different implications for their functions. Cell Tissue Res. 2000, 300: 181-192.PubMedView ArticleGoogle Scholar
- Symonds MRE, Elgar MA: The evolution of pheromone diversity. Trends Ecol Evol. 2008, 23: 220-228.PubMedView ArticleGoogle Scholar
- Calvello M, Guerra N, Brandazza A, D’Ambrosio C, Scaloni A, Dani FR, Turillazzi S, Pelosi P: Soluble proteins of chemical communication in the social wasp Polistes dominulus. Cell Mol Life Sci. 2003, 60: 1933-1943.PubMedView ArticleGoogle Scholar
- Chintapalli VR, Wang J, Dow JAT: Using FlyAtlas to identify better Drosophila models of human disease. Nat Genet. 2007, 39: 715-720.PubMedView ArticleGoogle Scholar
- Anholt RRH, Williams TI: The soluble proteome of the Drosophila antenna. Chem Senses. 2010, 35: 21-30.PubMed CentralPubMedView ArticleGoogle Scholar
- Kulmuni J, Havukainen H: Insights into the evolution of the CSP gene family through the integration of evolutionary analysis and comparative protein modeling. PLoS One. 2013, 8: e63688-PubMed CentralPubMedView ArticleGoogle Scholar
- Gomez-Diaz C, Reina JH, Cambillau C, Benton R: Ligands for pheromone-sensing neurons are not conformationally activated odorant binding proteins. PLoS Biol. 2013, 11: e1001546-PubMed CentralPubMedView ArticleGoogle Scholar
- Maida R, Ziegelberger G, Kaissling KE: Ligand binding to six recombinant pheromone-binding proteins of Anteraea polyphemus and Anteraea pernyi. J Com Physiol B. 2003, 173: 565-573.View ArticleGoogle Scholar
- Zhou JJ, Robertson G, He X, Dufour S, Hooper AM, Pickett JA, Keep NH, Field LM: Characterisation of Bombyx mori odorant-binding proteins reveals that a general odorant-binding protein discriminates between sex pheromone components. J Mol Biol. 2009, 389: 529-549.PubMedView ArticleGoogle Scholar
- Campanacci V, Lartique A, Hallberg BM, Jones TA, Giudici-Orticoni M-T, Tegoni M, Cambillau C: Moth chemosensory protein exhibits drastic conformational changes and cooperativity on ligand binding. PNAS. 2003, 100: 5069-5074.PubMed CentralPubMedView ArticleGoogle Scholar
- Zhou JJ, Zhang GA, Huang W, Birkett MA, Field LM, Pickett JA, Pelosi P: Revisiting the odorant-binding protein LUSH of Drosophila melanogaster: evidence for odour recognition and discrimination. FEBS Lett. 2004, 558: 23-26.PubMedView ArticleGoogle Scholar
- Laughlin JD, Soo Ha T, Jones DNM, Smith DP: Activation of pheromone-sensitive neurons is mediated by conformational activation of pheromone-binding protein. Cell. 2008, 133: 255-1265.View ArticleGoogle Scholar
- Campanacci V, Krieger J, Bette S, Sturgis JN, Lartigue A, Cambillau C, Breer H, Tegoni M: Revisiting the specificity of Mamestra brassicae and Antheraea polyphemus pheromone binding proteins with a fluorescence binding assay. J Biol Chem. 2001, 276: 20078-20084.PubMedView ArticleGoogle Scholar
- Xu P, Hooper AM, Pickett JA, Leal WS: Specificity determinants of the silkworm moth sex pheromone. PLoS One. 2012, 7: e44190-PubMed CentralPubMedView ArticleGoogle Scholar
- Vander Meer RK, Breed MD, Espelie KE, Winston ML: Pheromone Communication in Social Insects. 1998, Boulder CO: Westview PressGoogle Scholar
- Nozawa M, Nei M: Evolutionary dynamics of olfactory receptor genes in Drosophila species. PNAS. 2007, 104: 7122-7127.PubMed CentralPubMedView ArticleGoogle Scholar
- Ravary F, Jahyny B, Jaisson P: Brood stimulation controls the phasic reproductive cycle of the parthenogenetic ant Cerapachys biroi. Insect Soc. 2006, 53: 20-26.View ArticleGoogle Scholar
- Trapnell C, Pachter L, Salzberg SL: TopHat: discovering splice junctions with RNA-Seq. Bioinformatics. 2009, 25: 1105-1111.PubMed CentralPubMedView ArticleGoogle Scholar
- Trapnell C, Hendrickson DG, Sauvageau M, Goff L, Rinn JL, Patcher L: Differential analysis of gene regulation at transcript resolution with RNA-seq. Nat Biotechnol. 2013, 31: 46-53.PubMedView ArticleGoogle Scholar
- Simpson JT, Wonk K, Jackman SD, Schein JE, Jones SJ, Birol I: ABySS: a parallel assembler for short read sequence data. Genome Res. 2009, 19: 1117-1123.PubMed CentralPubMedView ArticleGoogle Scholar
- Ferreira PG, Patalano S, Chauhan R, Ffrench-Constant R, Gabaldon T, Guigo R, Sumner S: Transcriptomic analyses of primitively eusocial wasps reveal novel insights into the evolution of sociality and the origin of alternative phenotypes. Genome Biol. 2013, 14: R20-PubMed CentralPubMedView ArticleGoogle Scholar
- Suchard MA, Redelings BD: BAli-Phy: simultaneous Bayesian inference of alignment and phylogeny. Bioinformatics. 2006, 22: 2047-2048.PubMedView ArticleGoogle Scholar
- Vieira FG, Forêt S, He X, Rozas J, Field LM, Zhou J-J: Unique features of odorant-binding proteins of the parasitoid wasp Nasonia vitripennis revealed by genome annotation and comparative analyses. PLoS One. 2012, 7: e43034-PubMed CentralPubMedView ArticleGoogle Scholar
- Werren JH, Richards S, Desjardins CA, Niehuis O, Gadau J, Colbourne JK, The Nasonia Genome Working Group: Functional and evolutionary insights from the genomes of three parasitoid Nasonia species. Science. 2010, 327: 343-348.PubMedView ArticleGoogle Scholar
- Katoh K, Kuma K, Toh H, Miyata T: MAFFT version 5: improvement in accuracy of multiple sequence alignment. Nucl Acids Res. 2005, 33: 511-518.PubMed CentralPubMedView ArticleGoogle Scholar
- Abascal F, Zardoya R, Posada D: ProtTest: selection of best-fit models of protein evolution. Bioinformatics. 2005, 21: 2104-2105.PubMedView ArticleGoogle Scholar
- Le SQ, Gascuel O: An improved general amino acid replacement matrix. Mol Biol Evol. 2008, 25: 1307-1320.PubMedView ArticleGoogle Scholar
- Stamatakis A, Ludwig T, Meier H: RAxML-III: a fast program for maximum likelihood-based inference of large phylogenetic trees. Bioinformatics. 2005, 21: 456-463.PubMedView ArticleGoogle Scholar
- Drummond AJ, Rambaut A: BEAST: Bayesian evolutionary analysis by sampling trees. BMC Evol Biol. 2007, 7: 214-PubMed CentralPubMedView ArticleGoogle Scholar
- Lemey P, Salemi M, Vandamme A-M: The Phylogenetic Handbook. 2009, Cambridge, UK: Cambridge University Press, 2View ArticleGoogle Scholar
- Johnson BR, Borowiec ML, Chiu JC, Lee EK, Atallah J, Ward PS: Phylogenomics resolves evolutionary relationships among ants, bees, and wasps. Current Biol. 2013, 23: 2058-2062.View ArticleGoogle Scholar
- Slater GS, Birney E: Automated generation of heuristics for biological sequence comparison. BMC Bioinformatics. 2005, 6: 31-PubMed CentralPubMedView ArticleGoogle Scholar
- Edgar RC: MUSCLE: multiple sequence alignment with high accuracy and high throughput. Nucleic Acids Res. 2004, 32: 1792-1797.PubMed CentralPubMedView ArticleGoogle Scholar
- Sanderson MJ: r8s: inferring absolute rates of molecular evolution and divergence times in the absence of a molecular clock. Bioinformatics. 2002, 19: 301-302.View ArticleGoogle Scholar
- Moreau CS, Bell CD: Testing the museum versus cradle tropical biological diversity hypothesis: phylogeny, diversification, and ancestral biogeographic range evolution of the ants. Evolution. 2013, 67: 2240-2257.PubMedView ArticleGoogle Scholar
- Wong WSW, Yang Z, Goldman N, Nielsen R: Accuracy and power of statistical methods for detecting adaptive evolution in protein coding sequences and for identifying positively selected sites. Genetics. 2004, 168: 1041-1051.PubMed CentralPubMedView ArticleGoogle Scholar
- Yang Z, Wong WSW, Nielsen R: Bayes empirical Bayes inference of amino acid sites under positive selection. Mol Biol Evol. 2005, 22: 1107-1118.PubMedView ArticleGoogle Scholar
- Bielawski JP, Yang Z: A maximum likelihood method for detecting functional divergence at individual codon sites, with application to gene family evolution. J Mol Evol. 2004, 59: 121-113.PubMedView ArticleGoogle Scholar
- Weadick CJ, Chang BS: An improved likelihood ratio test for detecting site-specific functional divergence among clades of protein-coding genes. Mol Biol Evol. 2012, 29: 1297-1300.PubMedView ArticleGoogle Scholar
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