Phylogeny rather than ecology or lifestyle biases the construction of Escherichia coli–Shigella genetic exchange communities

Genetic material can be transmitted not only vertically from parent to offspring, but also laterally (horizontally) from one bacterial lineage to another. Lateral genetic transfer is non-uniform; biases in its nature or frequency construct communities of genetic exchange. These biases have been proposed to arise from phylogenetic relatedness, shared ecology and/or common lifestyle. Here, we test these hypotheses using a graph-based abstraction of inferred genetic-exchange relationships among 27 Escherichia coli and Shigella genomes. We show that although barriers to inter-phylogenetic group lateral transfer are low, E. coli and Shigella are more likely to have exchanged genetic material with close relatives. We find little evidence of bias arising from shared environment or lifestyle. More than one-third of donor–recipient pairs in our analysis show some level of fragmentary gene transfer. Thus, within the E. coli–Shigella clade, intact genes and gene fragments have been disseminated non-uniformly and at appreciable frequency, constructing communities that transgress environmental and lifestyle boundaries.


Introduction
Lateral genetic transfer (LGT; also known as horizontal genetic transfer, HGT) has significantly reshaped the genetic repertoires of many prokaryotic genomes [1][2][3][4]. In particular, genetic determinants of pathogenicity and other adaptive traits can spread rapidly via LGT. Genetic exchange communities (GECs) are sets of genomes that mutually exchange genetic information via LGT [5].
Much remains to be understood about the structure and interrelationships of GECs, and about the frequency and nature of LGT within them. Geneticexchange relationships can be abstracted as a graph in which nodes represent entities that carry genetic material (e.g. bacterial genomes and vectors), and edges represent pairwise transfer (whether vertical, i.e. from parents to offspring, or lateral) of genetic material between them. We defined GECs as densely connected regions within such a network, where the edges reflect LGT [5]. Examining the topological properties of such subgraphs should allow us to formulate and test the hypotheses regarding the nature and dynamics of genetic exchange that constructs such communities.
GECs do not exist a priori in nature, but rather are constructed through contingencies, biases and barriers that shape the interplay between donor and recipient lineages in dynamic environments [5]. Several hypotheses regarding transfer bias have been proposed, notably that successful LGT is more frequent within than between taxonomic groups [6][7][8][9][10][11], or where donor and recipient share a common environment or ecological niche [9,12]. At least for closely related donors and recipients, genes are transferred more frequently between pathogens than between non-pathogenic species [13].
The Escherichia coli -Shigella clade is an attractive testbed for hypotheses of LGT bias, as complete genomes of environmentally and physiologically diverse strains, including commensals as well as intra-and extra-intestinal pathogens, have been sequenced and annotated. Genomes within the clade differ remarkably in gene content, and LGT appears to have been frequent [4,[14][15][16]. An analysis of 5282 sets of orthologous protein-coding genes from 27 strains of E. coli -Shigella [17] revealed evidence for LGT in 2655 (50.3%) sets, of which 678 (12.8%) contained one or more internal recombination breakpoints indicative of fragmentary (within-gene) LGT.
Using these data as a starting point, we have now inferred directed pathways of LGT among these 27 genomes, and abstracted them as a graph. Applying concepts from graph theory, we delineate GECs and examine the pathways, biases and frequencies of transfer that construct them. This allows us to consider whether our operational definition of a GEC [5] is appropriate, and to test hypotheses that gene transfer occurs preferentially within phyletic groups, within a common environment and/or within a lifestyle (e.g. among pathogens). Finally, we investigate the units of transfer that circulate within these GECs by examining the presence or absence of recombination breakpoints within gene sets that are topologically discordant with the E. coli -Shigella reference phylogeny.

Results and discussion
3.1. Inference of phylogenetic discordance and recombination breakpoints among gene sets These 27 genomes sample the phylogenetic and environmental diversity within E. coli-Shigella as available when our study was initiated. Twenty genomes from the major E. coli phylogenetic groups A, B1, B2, D and E, and seven from the closely related Shigella (table 1), reflect a breadth of environments, adaptive challenges and lifestyles, including commensal, entero-and extra-intestinal pathogenic lineages. Using whole-genome alignment, we delineated 5282 sets of proteins with at most one member per genome (i.e. putative orthologues) and size n 4, and for each we inferred a Bayesian phylogenetic tree [37]. Aggregating all wellsupported bipartitions ( posterior probability, PP 0.95) using matrix representation with parsimony (MRP) [38] yielded a robust reference topology for E. coli -Shigella (figure 1). This MRP tree is remarkably concordant with the E. coli -Shigella phylogeny reported by Touchon et al. [14], which they inferred by maximum likelihood from 1878 concatenated E. coli -Shigella core gene sequences ( [17], fig. 4). Of the 52 bipartitions in our MRP tree, 49 appear in the Touchon et al. tree. Both trees support the monophyly of all classical groups described by multi-locus enzyme electrophoresis [39] except for phylogenetic group D, which both we and Touchon et al. [14] recover as polyphyletic.
Individual protein trees with at least one well-supported (PP 0.95) bipartition topologically incongruent with this MRP reference tree provide evidence of intra-clade LGT. Of the 5282 protein trees, we found 2440 (46.2%) to have at least one incongruent bipartition, vis-à-vis the MRP reference, at PP 0.95. From an analysis of 144 genomes representing 15 prokaryotic phyla, Chan et al. [40] reported strong evidence for LGT among 342 (23.4%) of 1462 orthologous gene sets. The higher proportion of putative LGT we detect within E. coli-Shigella may reflect the relatively greater frequency with which exogenous DNA can be integrated via homologous recombination [41].

Pathways of lateral genetic transfer among
Escherichia coli and Shigella strains inferred from phylogenetic discordance Discordance between a gene or protein (query) tree and a reference tree can be reconciled by carrying out one or more subtree prune-and-regraft operations on the latter. Beiko et al. [42] refer to these operations individually as edits, a connected series of which traces an edit path that constitutes a hypothesis of LGT between two genomes. Using Efficient Evaluation of Edit Paths (EEEP) [ only those obligate edits for which the direction of transfer can be inferred. Interpreting paths that involve non-obligate edits is much more difficult, and remains a key challenge in studying LGT [43]. Topological reconciliation on a tree is NP-hard; so especially when the pattern of incongruence is complex, it may not be possible to compute a minimal edit path. Nonetheless, we found most parsimonious edit paths for 2389 (97.9%) of the 2440 of the incongruent protein trees, 472 (19.8%) of which gave rise to at least one directional obligate edit.
3.3. A directed network of obligate lateral genetic transfer among strains of Escherichia coli and Shigella The set of unique connections implied by the obligate edits can be abstracted as a network, within which GECs can then be delineated [5]. The LGT network we develop here is non-standard in certain ways. Because we infer edits by reference to a (temporal) phylogenetic tree, a node in our abstracted network may represent an extant genome (i.e. a branch-tip), or one inferred as ancestral (an internal branch-point including its immediately subtending edge). Much genetic material has of course been inherited vertically, hence transmitted within (not across) a cellular lineage; but as here we are concerned only with LGT, in abstracting the network, we disregard connections that appear as edges in the MRP supertree. We likewise disregard all connections that describe genetic material as flowing backwards in time. Thus, each edge in our abstracted network connects partners in an obligate edit that resolves incongruence for at least one protein (query) set. This graphical abstraction necessarily flattens out the temporal diversity of genetic-exchange relationships within the clade [5]. The resulting edges may be unidirectional (one partner has always been the donor) or bidirectional (both exchange partners have donated to, and accepted from, the other), and can be further labelled by frequency of transfer (see §3.5). Sister termini (genomes) in the MRP tree are never directly connected in our network, as it is not possible to infer LGT between sister termini using a topological approach. We summarized all obligate edits as a directed obligate LGT network, or DOLN. The DOLN we infer for these 27 genomes consists of 52 vertices (27 extant and 25 ancestral) connected by 462 edges. It is a graphical representation of the highconfidence LGT network within the E. coli -Shigella clade. Evidence for each individual edge is provided by (one or more) protein sets; paths through the DOLN thus inform more broadly about directed LGT within the clade over time, without necessarily reflecting the history of any gene set individually. Extracting the obligate edits from the set of all possible edit paths represented a substantial filtering: the 2389 resolved incongruent protein trees gave rise to 1925 unique possible edits, of which 462 (24%) are obligate. Although this may introduce bias, no principled basis has been described for interpreting transfer histories from sets of non-obligate edits [43].

Topological properties of the Escherichia coli -Shigella obligate lateral genetic transfer network
Strains of E. coli and Shigella have accepted large amounts of genetic material from external lineages [4,14,15] and are thus members of one or more GECs more inclusive than this clade itself. Our E. coli -Shigella DOLN comprises 46 recipient and 46 donor genomes (extant and ancestral), with 44 inferred as both; a further four genomes (E. coli K-12 W3110, K-12 MG1655 and O157 : H7, and S. flexneri 2457T) were not implicated by any obligate edit, and thus fall outside the connected component of the DOLN. E. coli O157 : H7, for example, is known to have acquired a large amount of genetic material via LGT [44], but was not implicated as a transfer partner by any obligate edit. Note that (i) we did not consider genes carried on plasmids; (ii) high sequence similarity (for example, between E. coli O157 : H7 and E. coli O157 : H7 EDL933) makes it difficult to resolve, hence distinguish, branching structure within trees; and (iii) using a phylogenetic approach, LGT cannot be inferred for protein sets of size n , 4, nor for adjacent terminal genomes. Our DOLN corresponds to a single subgraph that, although densely connected, nonetheless allows us to recognize even more densely connected regions, and thereby to survey features of the intra-specific LGT events that construct GECs. We have recommended that a GEC be defined as a set of entities, each of which has over time both donated genetic material to, and received genetic material from, every other entity in that GEC, via a path of lateral transfer [5]. Does our E. coli-Shigella DOLN (figure 2) meet this stringent criterion? Recall that edges cannot be realized between sister termini, and that genetic material cannot flow backwards in time. Of 2072 potential edges, we observe only 462 (22.3%); however, 2072 (78.1%) of the 2704 possible node pairs are connected by a path of length greater than or equal to 1; that is, our E. coli-Shigella DOLN is densely connected, but, by our proposed criterion (above), falls short of qualifying as a GEC. Of the missing edges, many would connect closely related genomes (E. coli K-12 W3110 with K-12 MG1655; E. coli EDL933 with O157 : H7; strains within S. flexneri) among which LGT can often not be inferred owing to high sequence similarity. Including all possible (not only obligate) edits greatly increases the density of connection: 1925 (93%) of 2072 possible node pairs are connected by a path of length 1, and all possible node pairs (2072/2072, 100%) by a path of length greater than or equal to 1. Our inference may have missed other paths owing to incomplete or uneven sampling of genomes. Although the inferred connectivity of the DOLN falls short of our proposed criterion, we suspect, for the above reasons, that the E. coli-Shigella clade is in fact a GEC. This will be testable as more genomes in this clade are sequenced.
The shortest paths between genome pairs in our DOLN (figure 3) range from zero to four steps in length, with most (1610/2072, 77.7%) pairs connected by a path of length more than or equal to 2. Although somewhat inflated because LGT cannot be inferred between sister termini, this proportion nonetheless indicates a breadth of genetic connectivity across the clade, expanding the possibility for DNA to flow into groups or communities not accessible in a single step from the donor genome.
Unlike many other biological networks [45], the E. coli -Shigella DOLN is not scale-free and does not contain hubs (nodes that are far more highly connected than most). The number of recipient genomes per donor (out-degree) ranges from 1 to 26, and the number of donating genomes per acceptor (in-degree) from 1 to 22 (figure 2). In-degree and outdegree are correlated (r ¼ 0.74, p , 0.001); thus any given E. coli or Shigella genome has both donated genetic material rsob.royalsocietypublishing.org Open Biol 2: 120112 to, and received genetic material from, a comparable number of other genomes.
Among these extant genomes, environmental strain E. coli SMS-3-5 has donated genetic material to the largest number of other genomes, while the extra-intestinal pathogen E. coli IAI39 has accepted genetic material from the largest number ( figure 4). As relatively few nodes separate each of these from the root of the MRP reference tree, it could be that their apparently heightened involvement in LGT is an artefact of sampling bias. To assess this possibility, for each genome in the MRP tree, we plotted the length of the shortest and of the longest root-to-leaf path on which it falls (as surrogates for sampling density in that portion of the MRP tree) against measures of connectedness (figure 5). Each plot shows a weak to moderate downward trend in the data. Specifically, Spearman's rank correlation coefficients for the comparison between path length and each of the connectivity measures range from 20.38 (betweenness versus maximum path length) to 20.11 (indegree versus minimum path length). Thus, we find little evidence to suggest that relative phyletic coverage has affected our recovery of edit paths.
Betweenness is a measure of node centrality defined [46] as the frequency at which a given node lies on the shortest path between any pair of nodes in a network. High-betweenness nodes are important because they intermediate between genomes, other genetic entities and/or communities that do not exchange genes directly. Figure 6 shows the distribution of betweenness centrality for nodes of our E. coli -Shigella DOLN. The three genomes with highest node betweenness are the environmental strain E. coli SMS-3-5, and the extraintestinal pathogens E. coli IAI39 and UMN026. Although this measure shows a moderate degree of potential sampling bias (figure 5), high-betweenness nodes clearly are present in our DOLN. We next investigate their potential role in constructing the E. coli -Shigella GEC, focusing on frequencies and pathways of transfer within and between phyletic groups, lifestyles and habitats.
3.5. Differential transfer frequencies reveal patterns of lateral genetic transfer that reinforce traditional phylogenetic groupings but link distinct bacterial lifestyles Differential frequencies of LGT can be important in constructing GECs [5]. To assess how evenly successful transfers are distributed across the E. coli -Shigella DOLN, we labelled each edge with the number of incongruent protein sets whose resolution requires that edge as an obligate edit. The value of an edge label corresponds to the number of inferred transfer events between the donor and recipient lineages connected by that edge in our DOLN.    Edges with label values greater than or equal to 5 are listed in table 2. The donor-recipient pairs with greatest total edge label are E. coli strains E24377A and IAI1, E. coli strains ED1a and CFT073, and E. coli strains E24377A and SE11. Each of these connections crosses recognized phylogenetic groups, and links a commensal with a pathogenic strain: barriers to transfer across groups and lifestyles can be low. On the other hand, 11 of 16 edges with label greater than or equal to 6 (69%) reflect intra-group transfer, consistent with the ready integration of incoming DNA via homologous recombination. Differing edge weight and connectivity distributions were observed across the E. coli phylogenetic groups and Shigella (figure 8). We next investigate the number and diversity of exchange partners, and frequencies of transfer, within and between phylogenetic groups.

Biased gene transfer within phylogenetic groups
Genomes from each of the four major E. coli phylogenetic groups (A, B1, B2, D) and from accessory group E [39,47,48] are represented in our DOLN. Our MRP tree reconstructs each of these groups as monophyletic except group D, which, in agreement with Touchon et al. [14], we recover as polyphyletic. Strains in these groups differ in ecological niche, lifestyle and presence of virulence factors: most commensal strains belong to groups A and B1, extra-intestinal pathogens to groups B2 and D, and intestinal pathogens to groups B1 and D [49], while strains of groups B2 and D frequently harbour virulence factors not present in groups A and B1 [50]. We examined the paths of genetic flow within and between these groups.
Ancestral genomes were assigned to a phylogenetic group if, in our MRP tree, all their extant descendants belong to the same group. Nine ancestral genomes have extant descendants in more than one phylogenetic group; we refer to these ancestral genomes as unclassified, and do not consider them in detail. The DOLN reveals extensive LGT between E. coli phylogenetic groups, but fewer connections within groups. Among the 462 edges in our DOLN network, 45 (10%) connect a donor and recipient within the same group, while 312 (68%) are inter-group (the remaining 105 edges involve at least one unclassified partner). Although not bias-free (see §3.3), these results clearly indicate that within the E. coli -Shigella GEC, barriers to inter-group LGT are low. They probably, however, underestimate the true extent of LGT within groups, as our approach is blind to transfer between terminal sister lineages. Normalizing the counts of intra-group and inter-group edges by dividing each total count by the number of possible edges within the group, we find that the frequency of intra-group edges (  rsob.royalsocietypublishing.org Open Biol 2: 120112 and recipient lineages that belong to the same phylogenetic group. At broader taxonomic scales, LGT is more frequent within than between taxonomic groups [6,10,11,13]; our results suggest that this is also the case (at least for E. coli -Shigella) at the sub-specific level. Among intra-group edges, those linking phylogenetic group A with B1, and B2 with D, are most frequent (table 3). As most commensal strains are in groups A and B1 [50], and most extra-intestinal pathogens in groups B2 and D [49], this raises the possibility of preferential transfer among strains that share a similar lifestyle.

Pathways of lateral genetic transfer link Escherichia coli-Shigella strains with distinct lifestyles and/or living in diverse environments
Escherichia coli is a widespread commensal of the human gastrointestinal tract, but the E. coli-Shigella clade also contains numerous pathogens. Pathogenic E. coli strains fall broadly into two groups: extra-intestinal pathogenic E. coli (ExPEC) strains [51], which cause urinary tract infections, septis or meningitis in newborns; and intestinal pathogenic E. coli (IPEC) strains, which cause enteric diseases. The Shigella genomes included here are intestinal pathogens. Our 27 strains include seven commensals, 12 intestinal pathogens and seven extra-intestinal pathogens (environmental strain E. coli SMS-3-5 does not fall within any of these groups). Strains in each category face distinct environments and adaptive challenges. We compared network properties (here, node degree and betweenness) of strains in these categories pairwise to determine whether they distinguish lateral relationships between groups. IPEC and ExPEC strains face distinct environments but share a pathogenic lifestyle. We find no evidence of significant difference between IPEC and ExPEC strains with regard to degree or betweenness ( p ¼ 0.70 and p ¼ 0.48 respectively, by pairwise Wilcoxon rank sum test, Holmadjusted; figure 9). We similarly compared the commensal strains versus each of these two pathogenic categories. In our DOLN, commensal and IPEC strains exhibit comparable degree ( p ¼ 1.00) and betweenness centrality ( p ¼ 0.61, both by pairwise Wilcoxon rank sum test, Holm-adjusted; figure 9). The commensal and ExPEC strains likewise exhibit comparable degree ( p ¼ 1.00) and betweenness centrality ( p ¼ 0.61, also by pairwise Wilcoxon rank sum test, Holm-adjusted; figure 9). Thus, these network properties fail to distinguish lateral relationships among these groups of commensal, IPEC and ExPEC strains. In our DOLN, the node with the highest betweenness centrality represents ExPEC strain E. coli IAI39: it has donated genetic material to at least 22 distinct recipients, and accepted from at least 17 unique donors. Most strains we infer as exchange partners of E. coli IAI39 correspond to ancestral nodes in the MRP supertree. Among the 11 extant exchange partners of E. coli IAI39, five are commensal, four ExPEC and two IPEC. Although these numbers are small, this illustrates that the key pathways of LGT can extend across habitat and lifestyle.
Taking into account that LGT cannot be observed between sister termini and that genetic material cannot flow backwards in time, we considered the counts of intra-and inter-lifestyle edges as a proportion of the number of possible within-group connections (table 4): commensal-pathogenic (0.18) and pathogenic-pathogenic (0.12) are slightly more frequent than commensal-commensal edges (0.11), but we find no evidence that intra-and inter-lifestyle edges represent different numbers of genes ( p ¼ 0. 28

Gene fragments are frequently transferred via lateral genetic transfer within genetic exchange communities
Up to this point, we have based our inference of LGT within the E. coli-Shigella clade on topological conflict between a ( protein) query tree and the MRP reference. This approach implicitly takes whole protein-coding genes as the unit of analysis. However, many genes are mosaics of regions with conflicting evolutionary histories [17,40,52,53]. We now distinguish within-gene LGT (transfer of one or more within-gene regions) from whole-gene LGT (transfer of an entire gene or beyond), further classifying the protein sets that yield incongruent phylogenetic trees into these two categories, based on the respective presence or absence of at least one internal recombination breakpoint in the corresponding gene alignment (see §5). Among the 2440 sets of homologous genes that yield a protein tree incongruent with the reference, we observe strong evidence for at least one recombination breakpoint internal to the open reading frame in 463 (19%); these are instances of within-gene transfer. A further 215 gene sets (not included in the 2440) show clear evidence of one or more internal recombination breakpoints, but the corresponding protein tree is not topologically incongruent; we do not consider these further, as we depend on (the resolution of ) incongruence to assign donor and recipient lineages. Of the 472 gene sets that imply at least one obligate edit, 124 (26%) show strong evidence of an internal breakpoint-a higher proportion than for all gene sets that yield incongruent trees (19%).
We classified the edges in our DOLN into two categories: exclusively observable recombination breakpoint positive (eORBþ), being those for which every gene set that gives rise to that obligate edit exhibits at least one observable recombination breakpoint [40]; and exclusively observable recombination breakpoint negative (eORB -), for which no gene set that gives rise to that obligate edit has an observable recombination breakpoint. Of the 462 edges in our DOLN, 290 (63%) are eORB -and 65 (14%) eORBþ. Thus, more than half of these obligate edits represent only the transfer of intact genes; many more than represent only the transfer of gene fragments. The remaining 107 (23%) fall into neither category: some, but not all, of the corresponding gene sets exhibit a recombination breakpoint.
Within-gene fragmentary transfer nonetheless contributes significantly to LGT within the E. coli-Shigella GEC: 172/462 edges (37%) are implied by at least one topologically discordant ORBþ gene set. Earlier, we examined the distribution of obligate transfers by donor and recipient genomes ( figure 7). Most of these genomes, both extant and ancestral, have both donated and accepted at least one gene from an ORBþ gene set ( figure 7). These results almost certainly underestimate the contribution of fragmentary transfer, as ORBþ gene sets that do not yield topologically discordant proteins or obligate edits have not been included.  Figure 6. Distribution of betweenness centrality for nodes of the directed obligate LGT network (DOLN).

Conclusion
Strains of E. coli and Shigella are more likely to exchange genetic material with their close relatives than with those more distantly related. As LGT is similarly biased at broader phyletic scale [6,7,13], together with other recent analyses [6][7][8]10,11], our results contribute to an emerging picture of relatedness bias across and at all taxonomic ranks within the prokaryotic domains. On the other hand, we find little evidence for bias favouring transfer among strains of E. coli and Shigella that share an environment or lifestyle. In contrast, Smillie et al. [54] reported that among distantly related genomes, genetic exchange is structured by ecology more than by phylogeny, with preferential exchange among isolates that share ecologically similar environments. In general, phylogeny is expected to be important because genetic material exchanged among close relatives can be integrated via homologous recombination, and has greater compatibility with native host systems [41,55]. Moreover, shared evolutionary history is associated with mechanisms known to bias uptake of genetic material, including phage host infection biases, DNA uptake specificity and quorum sensing [56]. Our results suggest that within E. coli-Shigella, relatedness overrides shared ecology.
LGT in this clade either transgresses environmental and lifestyle boundaries, or alters the organism-scale biology over time such that extant genomes cannot dependably be assigned to an exclusive lifestyle or ecotype. We favour the former explanation, as environmental and lifestyle annotations group coherently on the MRP supertree.
The edges we infer for obligate LGT form a densely connected graph, identifying the E. coli-Shigella clade as a GEC within which barriers to LGT are low. Bacterial lifestyle, habitat and phylogenetic relatedness do not pose substantial barriers to successful LGT, although transfer is biased to favour strains that are more closely related. More than onethird of donor -recipient pairs have exchanged fragments of genes, again emphasizing that whole genes are not privileged units of genetic transfer.
We have previously discussed the appropriateness of graph-based structures, including paths, cliques, near-cliques and transitively closed sets to define GECs, and expressed concern that GECs as cliques or near-cliques sets too high an evidentiary standard [5]. The DOLN (as based on obligate edits) reinforces this view.

Methods
We previously applied a computational workflow to reconstruct evolutionary histories and infer recombination breakpoints among 5282 putatively orthologous proteins in 27 E. coli and Shigella genomes [17]. Completely sequenced genomes were retrieved from NCBI, and whole-genome alignment was performed using the progressive Mauve algorithm of MAUVE v. 2.3.0 [57,58]. The MAUVE export orthologs function was then applied, yielding 5282 sets of positionally homologous protein-coding genes of size 4 n 27. Proteins sequences were aligned using PROBCONS     [59] and ambiguously aligned regions removed using GBLOCKS v. 0.91b [60]. Following alignment, 5282 phylogenetic trees were inferred using MRBAYES v. 3.1.2 [37,61]. All their bipartitions with PP 0.95 were aggregated to generate an E. coli-Shigella reference tree, using MRP [38]. In parallel, a two-phase strategy [62] was implemented to detect recombination in the corresponding nucleotide alignments [17]. Classification of internal recombination breakpoints follows [52]. For further details, including parameter value settings for MAUVE, PROBCONS, GBLOCKS and MRBAYES, see [17].
Topological discordance between the MRP supertree and individual query (protein) trees was assessed using EEEP [43] with a 95 per cent bootstrap collapse threshold and the strict reference treeratchet (-rR). Where an optimal solution could be found, EEEP reports the minimal set of subtree prune-and-regraft operations (edits) required to render the MRP supertree topologically consistent with a given query tree. The set of inferred obligate edits [42] was represented as a network in which nodes represent genomes (extant or inferred as ancestral from the MRP tree). An edge is drawn between genomes implicated as a donor-recipient pair by an obligate edit resolving incongruence for at least one protein set. Edges are labelled by the total number of incongruent protein sets that infer that obligate edit (LGT event). These analyses were implemented using custom Python scripts.
Supporting data (individual protein-family trees, inferred edits and help file) are available at http://bioinformatics.org. au/tools-data as 'E. coli -Shigella 27 genomes LGT'.