- Research article
- Open Access
Comparative phylogeography of Atlantic reef fishes indicates both origin and accumulation of diversity in the Caribbean
© Rocha et al; licensee BioMed Central Ltd. 2008
Received: 23 September 2007
Accepted: 22 May 2008
Published: 22 May 2008
Two processes may contribute to the formation of global centers of biodiversity: elevated local speciation rates (the center of origin hypothesis), and greater accumulation of species formed elsewhere (the center of accumulation hypothesis). The relative importance of these processes has long intrigued marine biogeographers but rarely has been tested.
To examine how origin and accumulation affected the Greater Caribbean center of diversity, we conducted a range-wide survey of mtDNA cytochrome b in the widespread Atlantic reef damselfish Chromis multilineata (N = 183) that included 10 locations in all four tropical Atlantic biogeographic provinces: the Greater Caribbean, Brazil, the mid-Atlantic ridge, and the tropical eastern Atlantic. We analyzed this data and re-evaluated published genetic data from other reef fish taxa (wrasses and parrotfishes) to resolve the origin and dispersal of mtDNA lineages. Parsimony networks, mismatch distributions and phylogenetic analyses identify the Caribbean population of C. multilineata as the oldest, consistent with the center of origin model for the circum-Atlantic radiation of this species. However, some Caribbean haplotypes in this species were derived from Brazilian lineages, indicating that mtDNA diversity has not only originated but also accumulated in the Greater Caribbean. Data from the wrasses and parrotfishes indicate an origin in the Greater Caribbean in one case, Caribbean origin plus accumulation in another, and accumulation in the remaining two.
Our analyses indicate that the Greater Caribbean marine biodiversity hotspot did not arise through the action of a single mode of evolutionary change. Reef fish distributions at the boundaries between Caribbean and Brazilian provinces (the SE Caribbean and NE Brazil, respectively) indicate that the microevolutionary patterns we detected in C. multilineata and other reef fishes translate into macroevolutionary processes and that origin and accumulation have acted in concert to form the Greater Caribbean biodiversity hotspot.
The extremely high biodiversity at the two global coral reef hotspots – the Indo-Malay Archipelago (IMA, also known as the Coral Triangle) in the Indo-Pacific, and the Greater Caribbean (GC) region in the Atlantic – has long intrigued marine biologists [1–8]. Two primary hypotheses have been proposed to explain such richness and the corresponding biodiversity gradients moving away from those regions: the center of origin (CO) hypothesis, introduced by Darwin as "centers of creation" , proposes that species originate in the center and disperse to the periphery, and the high central diversity arises through in-situ speciation . According to Briggs, the most prominent contemporary supporter of this hypothesis, centers of diversity "act as centers of evolutionary radiation and supply species to other areas that are less effective in an evolutionary sense" [10–12]. Evidence from recent phylogenetic  and species-distribution surveys [10, 14] support the CO model for the IMA. In contrast, the center of accumulation (CA) hypothesis proposes that diversity centers accumulate species that originated elsewhere. The IMA lies on the western boundary of the Pacific and westward flowing ocean currents could transport the pelagic larvae of species originating anywhere in the Pacific to the IMA [15, 16]. A recent analysis of reef fish and coral distributions in the Indian and Pacific Oceans concluded that deviations from a random species-richness pattern predicted by a mid-domain model are consistent with this hypothesis .
Genetic surveys of sea urchins, marine gastropods and cowries in the Indo-Pacific indicate that species formation has occurred throughout the region [4, 18, 19], both inside the center of diversity (supporting the CO hypothesis) and outside the IMA (supporting the CA hypothesis). Likewise, the reef fish genera Thalassoma and Halichoeres display no clear pattern, as ancient and recent species occur both in the IMA and elsewhere in the Pacific [20, 21]. These and other studies have led to the proposition that both origin and accumulation of species contribute to the high diversity of the IMA [5, 6, 19, 21].
Patterns of genetic variation within widely distributed species can offer clues that may indicate how origin and accumulation contribute to a center of diversity . There are four ways in which intra-specific genetic variation can contribute pertinent information: (i) Resolution of the geographic locations of both phylogenetically ancestral or basal DNA sequences (haplotypes) and recent or derived haplotypes. Under a CO scenario, basal lineages should be found at the center of diversity. In contrast, the restriction of ancestral haplotypes to peripheral populations would support the CA model. (ii) Patterns of variation in genetic diversity throughout the species range could also be informative. Under the CO hypothesis, higher haplotype and nucleotide diversities should occur in the diversity centers, but away from the center under the CA hypothesis. Note, however, that the value of such evidence is limited because at equilibrium, the largest population will have the highest diversity, regardless of age. Further, (iii) mismatch distributions and population genetic analyses may offer other useful clues about the geography of origination and subsequent dispersal: in old, widely distributed species, basal haplotypes (which assume an interior position in parsimony networks) and derived haplotypes (peripherally located in parsimony networks) may occur in all populations. However, if the species recently expanded its range the younger populations would be less variable, may exhibit star-like parsimony networks with a few very common haplotypes and many rare haplotypes, and would have a Poisson-like mismatch distribution [23–25]. Finally, (iv) direction of migration can also be informative: gene flow away from the center to the periphery would support the CO hypothesis whereas the reverse flow would favor CA .
The biogeographic barriers separating these provinces include vast geographic and oceanic distances lacking suitable habitat: the northeastern South American coast is heavily influenced by freshwater outflow, and there is no coral reef development in the 2,300 km wide area between the Amazon's mouth and Trinidad & Tobago; the eastern and western Atlantic, as well as the central Atlantic islands, are separated from the other provinces by thousands of kilometers of deep open ocean [28, 30]. Previous mtDNA surveys of reef fishes and sea urchins have revealed deep phylogenetic breaks among these four tropical biogeographic provinces [20, 31, 32], as well as the existence of some species that can apparently transcend some of the barriers through dispersal of pelagic larval and juvenile stages [33–38].
Here we analyze patterns of genetic diversity based on mtDNA sequences in a common, widespread Atlantic reef fish – the brown chromis (Chromis multilineata) across all four tropical Atlantic biogeographic provinces. The combination of this transatlantic distribution and the lack of a marked genetic break between populations in the two western Atlantic provinces (see Results) makes it a good candidate to study the roles of origin versus accumulation in explaining high species diversity in the Greater Caribbean. Additionally, we re-evaluated data from four species groups, published in two previous studies of Atlantic reef fishes [36, 38] that reported genetic lineages shared by Brazil and the Caribbean. Our main objectives were: 1) to search for signatures of origin vs. accumulation of genetic diversity in the Greater Caribbean, which is the Atlantic center of diversity for tropical reef organisms; and 2) to assess how the barriers between major biogeographic provinces influence the population structure of C. multilineata, a widely distributed reef fish with a relatively short pelagic larval stage.
Chromis multilineata populations data
0.97 ± 0.03
0.009 ± 0.005
St. Croix (USVI)
0.99 ± 0.01
0.008 ± 0.004
1.00 ± 0.02
0.008 ± 0.005
Central Atlantic Islands
0.98 ± 0.02
0.007 ± 0.004
0.99 ± 0.02
0.007 ± 0.004
St. Paul's Rocks
0.92 ± 0.04
0.006 ± 0.003
1.00 ± 0.06
0.007 ± 0.004
0.99 ± 0.02
0.007 ± 0.004
0.92 ± 0.03
0.003 ± 0.002
0.81 ± 0.09
0.002 ± 0.001
0.99 ± 0.03
0.010 ± 0.007
Population pairwise ΦST for Chromis multilineata
2. St. Croix
5. St. Helena
6. St. Paul's
8. Cabo Frio
9. Cape Verde
10. Sao Tome
Analysis of molecular variance (AMOVA) of Chromis multilineata
Source of variation
Sum of Squares
Percentage of variation
Due to the lack of genetic differences among each of the three Brazilian samples (Paraiba, Cabo Frio and St. Paul's Rocks), among each of the three Caribbean samples (Panama, Grenada and St. Croix), between the two mid-Atlantic locations (Ascension and St. Helena), and between the two eastern Atlantic locations (Cape Verde and Sao Tome), data from each group were combined to calculate bidirectional migration rates among the four provinces. Our analysis shows much migration from both Brazil and the Central Atlantic to the GC, but little in the reverse direction, and virtually none between the western/central Atlantic and eastern Atlantic (the value for this last comparison in Fig. 4 is effectively zero).
Phylogeography of the brown Chromis
Previous genetic surveys of reef organisms in the tropical Atlantic have produced a mosaic of outcomes in terms of the levels of separation among different provinces, with virtually every conceivable pattern being evident . The short-spined sea urchin (genus Tripneustes), the red lip blenny (genus Ophioblennius), and some wrasses of the genera Thalassoma and Halichoeres show deep genetic breaks (d = 2.0% – 12.7% in mitochondrial DNA coding regions) that correspond to the four major tropical Atlantic biogeographic provinces [20, 31, 32, 41]. In the ocean surgeonfish (Acanthurus bahianus), GC populations are separated from those in Brazil and the central Atlantic by an mtDNA sequence divergence of d = 2.4%, but no difference is observed between populations at Brazil and the mid-Atlantic islands . Other species show little differentiation throughout the tropical W Atlantic (doctorfish, A. chirurgus; pygmy angelfish, genus Centropyge; goldspot goby, Gnatholepis thompsoni [34, 35, 42]), or even throughout the entire tropical Atlantic (blackbar soldierfish, Myripristis jacobus ). In contrast, at the lower end of the spatial scale, some species of wrasses (genus Halichoeres) and cleaner gobies (genus Elacatinus) show deep genetic breaks and reciprocally monophyletic groups on a scale of tens of km within the GC [36, 43, 44].
In C. multilineata, three levels of genetic diversity were observed: First, the tropical eastern Atlantic populations formed a monophyletic group, separated from all other populations by at least seven diagnostic mutations. Second, there was a significant shift in haplotype frequencies between the GC and the South Atlantic (Brazil + central Atlantic islands) indicating population breaks between the GC and those two provinces (Table 2). Third, there was no detectable genetic difference between the Brazilian and central Atlantic populations. The pattern that emerges from most Atlantic phylogeography studies is that when deep divergences are present, they generally correspond to the major biogeographic provinces, although there are notable instances of strong within-province differentiation (e.g.: gobies and wrasses within both the GC and Brazil [36, 43, 45]).
In the brown chromis and other reef organisms, the divergence between the eastern Atlantic and the remaining populations (Table 2) may be explained by 1,700 km or more (the shorter straight line distances between the eastern Atlantic and the western/central Atlantic populations are ~1,700 km between St. Paul's Rocks and Cape Verde, ~2,300 km between St. Helena and Sao Tome and ~2,500 km between Ascension and Sao Tome) of unsuitable open-ocean distances, combined with the general east to west direction of prevailing currents at low latitudes. While low but significant pairwise comparisons were observed between the two provinces of the South Atlantic (Brazil and the central Atlantic) and the Caribbean, separated by no more than 2,300 km, no difference was observed between Brazil and the central Atlantic Islands, separated by 2,200 km.
Low genetic structure, such as that seen in C multilineata might be expected in organisms with a long pelagic larval stage [34, 37] and a similar signal has been observed in the long-spined sea urchin, genus Diadema with a ~6 week larval stage  and the ocean surgeonfish, Acanthurus bahianus, which has a larval duration of ~60 days . C. multilineata, however, has a relatively short pelagic larval stage averaging 27 days (33 days maximum ), which is substantially less than the average time (48 days based on average current velocity) to cross from Brazil to the mid-Atlantic . However, juvenile C. multilineata have been observed in association with floating debris in Belize (L. A. Rocha pers. obs.), and juvenile Chromis atrilobata (C. multilineata's sister species in the eastern Pacific) have been observed in open water under floating objects [48, 49]; D. R. Robertson pers. obs.). Thus, young C. multilineata juveniles survive in the open ocean long after transforming from the larval stage, and relatively strong tropical currents connecting the mid-Atlantic islands and Brazil may transport juvenile Chromis between those locations [50, 51]. Transport from the western and central Atlantic to the eastern Atlantic evidently has been much less frequent, probably due to larger distances involved in direct transport from W to E Atlantic and smaller source populations for dispersal from the tiny central Atlantic islands (Ascension, St. Helena) to the eastern Atlantic.
The mismatch distribution analysis (Fig. 5), Ramos-Onsins and Rozas's R2 test for recent population expansion and Fu's Fs neutrality test (Table 1) indicate that all populations have undergone a recent expansion, except for that at the diminutive St. Paul's Rocks. This expansion was probably caused by the ~10 fold increase in suitable shallow reef habitat associated with the sea-level rise of ~130 m since the last glacial maximum . St. Paul's Rocks is an exception: because there is no shelf at that island, which is a pillar rising vertically from deep water , available habitat probably hasn't increased with sea-level rise. Thus the lack of an expansion signal may reflect a relatively constant population size due to stability in habitat availability. The lower number of pairwise differences, and haplotype and nucleotide diversities observed at Cape Verde and Sao Tome in the eastern Atlantic, indicate a more recent expansion at those locations than in the western and central Atlantic. In addition to lower sea-levels and corresponding reduced habitat available during the last glacial period in the eastern Atlantic, water temperatures in that area were lowered more than in the western and central Atlantic by enhanced coastal upwelling , a stress on tropical species that may have caused strong fluctuations or reductions in population size.
Migration patterns among populations (Fig. 4) are consistent with the general direction of surface current flows (Fig. 1): the highest rates are from the South Atlantic to the Caribbean (coinciding with the flow of the North Brazil current) and from Brazil to the mid-Atlantic islands (coinciding with the flow of the South Atlantic Gyre). In accordance with the phylogenetic results, migration between western and eastern Atlantic (a direction that opposes major surface currents; Fig. 1) was effectively zero.
The Greater Caribbean hotspot: center of origin and center of accumulation
Our phylogeographic analysis of C. multilineata provides two lines of evidence relevant to the mechanism(s) that produced the GC hotspot of diversity. First, supporting accumulation, the short (i.e. relatively young) branches are mostly in Brazil and the central Atlantic islands (in Fig. 2 ~75% of the short branches are blue, endemic to Brazil and the two mid-Atlantic islands). However, the short branches also include a few Caribbean haplotypes (~25% of short branches in the mostly South Atlantic lineage in Fig. 2), indicating that the lineages diversified in the South Atlantic, and that individuals carrying those haplotypes recently arrived in the Caribbean. This South to North pattern of dispersal is consistent with the pattern of oceanic current flow (Fig. 1) and migration rates (Fig. 4), and indicates that the hotspot of diversity in the Caribbean has acted recently as a CA.
Similarly to what we describe here for C. multilineata, the Panamanian sample of the wrasse Halichoeres bivittatus has one individual (among 23 sampled) with a haplotype that is more similar to those found in Brazil than those in other Caribbean locations (Fig. 6a), indicating the recent arrival of a haplotype of South Atlantic origin . Additionally, in the goby genus Gnatholepis, and the angelfish genus Centropyge, the Atlantic species are recently derived from much more diverse Indo-Pacific groups, and apparently only recently arrived in the GC from the Indian Ocean via the South Atlantic [35, 42, 54], supporting accumulation of species at the GC hotspot.
The phylogeny of parrotfishes (genus Sparisoma) also supports accumulation at the Caribbean (Fig. 6c and 6d). The parrotfish S. axillare is abundant and widely distributed throughout the Brazilian coast, but known only from SE Venezuela in the Caribbean, indicating that the population there is probably a result of recent dispersal from Brazil. Likewise, the parrotfish S. griseorubra is restricted to the southern Caribbean (SE Venezuela) and its sister species is S. frondosum (endemic to Brazil), indicating that S. griseorubra likely originated from ancient dispersal by the ancestor of the S. frondosum/S. griseorubra lineage. The splitting of S. frondosum and S. griseorubra alternatively could be explained by sympatric speciation in the Caribbean (the groups with Brazilian affinities co-occur with their Caribbean counterparts in the southern Caribbean) followed by dispersal towards Brazil. However, speciation with gene flow in reef fishes has only been inferred when there are strong ecological gradients , or where the fish are strictly associated with coral hosts . As this is not the case for Sparisoma, this alternative is less likely than an allopatric split between Brazil and the Caribbean after dispersal northwards by a Brazilian lineage.
Supporting origin at the Caribbean, almost all basal haplotypes of the C. multilineata tree are observed only in Caribbean individuals (Figs. 2 and 3), which indicates that populations at the three other regions are derived from a Caribbean ancestor. Moreover, the Caribbean samples (either separately or in combination) have the widest mismatch distributions (spanning 13 to 15 mutations; Fig. 5) indicating that this region hosts the oldest and most stable population. We can also infer that, because all eastern Atlantic haplotypes apparently have a single origin (monophyly in Fig. 2), they most likely originated from a single colonization event (Fig. 3) on the order of two hundred thousand years ago (based on our trans-isthmian molecular clock estimate of 4.4%/Myr). The recent finding of Centropyge aurantonotus in the eastern Atlantic (previously known only from the western Atlantic, but recently observed in low numbers in Sao Tome ) and the general direction of trans-Atlantic range expansion in the gold spot goby  support this rare west to east colonization route.
Lending further support to the CO hypothesis, populations of the wrasse H. radiatus in Brazilian oceanic islands are much more closely related to Caribbean H. radiatus than to populations of H. brasiliensis (its sister species) in the adjacent coast line, indicating that these islands were colonized by migrants of Caribbean origin (Fig. 6b). A similar pattern of southward dispersal from the GC to the offshore Brazilian islands has been observed in gobies of the genus Bathygobius . Colonization outward from the Caribbean must be a rare event because it goes against prevailing currents, but as our analysis indicates, it has happened and can lead to the establishment of new populations, supporting the CO hypothesis.
Support for origin of diversity in the GC comes from other recent phylogenetic and biogeographic analyses. A survey of seven-spined gobies  shows that two peripheral species of Elacatinus (E. figaro from Brazil and E. puncticulatus from the eastern Pacific) are older species whereas the 10 newest (youngest) Elacatinus species are found only in the Caribbean biodiversity hotspot. That is, recent speciation that produced 83% of the species in this genus occurred within the GC. Likewise, the diverse families Chaenopsidae and Labrisomidae are represented in the GC by 45 species each, but elsewhere in the Atlantic there are only four and 11 Atlantic species in each of these families respectively [40, 58, 59]. Hamlets (genus Hypoplectrus) include as many as a dozen or more closely related "species" and are restricted entirely to the GC . Thus, speciation leading to considerable faunal enrichment most likely occurred in situ within the GC in those four taxa.
Recent phylogenetic analyses of large reef fish groups also provide useful information to this debate. Among wrasses (Labridae), the Caribbean and Eastern Pacific Halichoeres are for the most part monophyletic, indicating that they diversified in situ and supporting CO in a recent time scale, but at the same time their diverse group of ancestors is composed of Indo-Pacific species [21, 61] supporting CA deeper in time, on a scale of tens of millions of years. Similarly to the wrasses, the Caribbean groupers of the genera Epinephelus and Mycteroperca are monophyletic groups derived from Indo-Pacific ancestors , supporting both ancient CA and more recent CO. The Caribbean butterflyfishes are mostly a paraphyletic assemblage of lineages derived from more diverse Indo-Pacific groups, supporting CA . Within the damselfishes, the Caribbean (and Atlantic) species Abudefduf saxatilis seems to be a recent arrival from the Indo-Pacific (it is very closely related to a group containing eight Indo-Pacific and one eastern Pacific species), also supporting CA . Even though these large scale phylogenies are useful, most lack peripheral (mostly Brazilian) endemics, making their contribution to this debate limited. However they provide an excellent framework that, with the addition of a few key species, may become an important piece in the tropical biodiversity puzzle.
Our data indicates that the Greater Caribbean is both a center of origin and accumulation for genetic lineages within species (e.g. Chromis multilineata and Halichoeres bivittatus) and for sister species within genera (e.g. Sparisoma). Such bidirectional dispersal is also reflected in the geographic distributions of tropical Atlantic fishes and invertebrates: several species that are widely distributed in the Brazilian coast are also recorded in the southeastern corner of the Caribbean [30, 65, 66]. Likewise some widely distributed Caribbean species also occur in northern Brazil, sometimes on only a few reefs south of the Amazon outflow, evidence of recent southward dispersal [30, 40].
We conclude, on the basis of multiple lines of evidence, that the GC marine biodiversity hotspot did not arise through the action of a single mode of microevolutionary change. This diversity is the product of a more complex and idiosyncratic process in different taxa, and it is clear from the accumulating data that several mechanisms have contributed. The hypotheses of center of origin and center of accumulation are not mutually exclusive, and acting in concert, as they have done in the GC, origin and accumulation can generate more diversity than either process acting alone.
In closing we note that the IMA is a much larger hotspot than the GC, in terms of both geography and biodiversity. The IMA hotspot is flanked on both sides by the numerous archipelagos of the Pacific and Indian Oceans, a feature nearly absent for the GC hotspot. Moreover, the GC is marked by a turbulent history involving extinctions of many reef-associated organisms in the past few million years , a feature not yet detected at the IMA. We suggest that the larger size and greater stability of the IMA, combined with its extensive halo of peripheral habitats, serves to strengthen the biodiversity feedback between hotspots and other areas, and contribute to the global center biodiversity in the IMA. Finally, it remains to be seen whether the principles of origin and accumulation apply to terrestrial biodiversity, or whether these evolutionary mechanisms are restricted to high-dispersal media, the exclusive domain of the world's oceans.
Chromis multilineata is a common reef fish that is widely distributed on both sides of the tropical Atlantic, as well as at the mid-Atlantic islands . They have demersal eggs that develop into pelagic larvae in about three days [69, 70]. Estimates of pelagic larval duration range from 24 to 33 days . Adults can be locally very abundant and are usually found in schools from a few to several hundred individuals, swimming and feeding on plankton above the reef .
A total of 183 specimens of Chromis multilineata were obtained from 10 locations, which included at least two locations within each of the four provinces (Table 1, Fig. 1). Specimens were collected with polespears while scuba diving or snorkeling, between 1997 and 2002. Tissues (muscle and/or gill) were stored in a saturated salt-DMSO buffer (Amos and Hoelzel 1991). A recent phylogenetic survey of damselfishes indicates that the eastern Pacific species C. atrilobata is the sister of C. multilineata . To confirm this relationship we sequenced C. atrilobata from Cocos Island (n = 3) and Panama (n = 3) and other species of the genus in the Atlantic that were not included in the phylogeny : C. scotti from Florida (n = 2); C. enchrysura from Florida (n = 2), C. limbata from the Azores (n = 4) and C. lubbocki from Cape Verde (n = 3). The resulting tree (not shown) supports the conclusion that C. multilineata and C. atrilobata are sister species.
DNA Extraction and Sequencing
Total genomic DNA was extracted using QIAGEN (Valencia CA) Dneasy extraction kits following the manufacturer's protocol. Extracted DNA was frozen in TE buffer and archived at -20°C. Primer names indicate the DNA strand (H = heavy and L = light strand) and the position of the 3' end of the oligonucleotide primer relative to the human mitochondrial DNA sequence. A segment of 802 base pairs of the mtDNA cytochrome b gene was amplified with the primers L14725 (5' GTG ACT TGA AAA ACC ACC GTT G 3') and H15573 (5' AAT AGG AAG TAT CAT TCG GGT TTG ATG 3') .
Thermal cycling in polymerase chain reactions (PCR) consisted of an initial denaturing step at 94°C for 1 min 20 sec, then 35 cycles of amplification (40 sec of denaturation at 94°C, 30 seconds of annealing at 52°C, and 55 sec of extension at 72°C), and a final extension of 2 min 30 sec at 72°C. Each tube contained 15 μl of water, 2.5 μl of MgCl2, Mg free buffer and DNTPs, 0.3 μl of each primer, 0.4 μl of Taq DNA polymerase and 1.5 μl of purified DNA. Excess primers were removed through simultaneous incubation of PCR product with exonuclease I and shrimp alkaline phosphatase (USB Corp., Cleveland OH).
Sequencing reactions with fluorescently-labeled dideoxy terminators (BigDye) were performed according to manufacturer's recommendations, and analyzed with an ABI 377 automated sequencer (Applied Biosystems, Inc. Foster City, CA). All samples were sequenced in the forward direction (with L14725 primer), but rare and questionable haplotypes were sequenced in both directions to ensure accuracy of nucleotide designations. Representative haplotype sequences are deposited in GenBank under accession numbers EU431997 – EU432046. Copies of the complete data set are available from LAR.
Phylogenetic and Population Analyses
Sequences were aligned and edited with Sequencher version 3.0 (Gene Codes Corp., Ann Arbor, MI). Population structure and gene flow were assessed with an analysis of molecular variance AMOVA  in the program Arlequin version 3.0, which generated ΦST values (a molecular analog of FST that includes sequence divergence among haplotypes as well as haplotype frequency shifts; ). Genetic variation is described with nucleotide diversity (π; equation 10.19 ) and haplotype diversity (h; equation 8.5 ) within each location.
The computer program MODELTEST version 3.06  was used to determine the substitution model that best fits the data through a minimal theoretical information criterion (AIC). The model chosen was TRN+Γ  with a gamma distribution of 0.97 to estimate sequence divergences (d values) between haplotypes. Equal weighting of all three codon positions was used. Relationships between all haplotypes and closely related species were estimated using a Bayesian phylogenetic analysis performed with MrBayes 3.1 . Preliminary runs were performed to monitor the fluctuating value of the likelihoods of the Bayesian trees, and all parameters appear to reach stability before 250,000 generations. The Markov chain analysis was run for 20 million generations. A burn-in period, in which the initial 10,000 trees were discarded, was adopted and the remaining tree samples were used to generate a 50% majority rule consensus tree. The posterior probability of each clade was then provided by the percentage of trees identifying the clade . In addition, the software PAUP 4.0b10  was used to conduct maximum parsimony (MP) and neighbor-joining analyses that were evaluated with 1000 bootstrap replicates implemented with PAUP* version 4.0b10 . The minimum evolution criterion was used by applying maximum likelihood distances estimated with the model chosen by Modeltest in the neighbor-joining analysis. The resulting Bayesian, parsimony and neighbour joining trees were not significantly different.
Departure from neutrality was tested using Fu's Fs  and Ramos-Onsins and Rozas' R2 statistic . The R2 measure is based on the difference between the number of singleton mutations and the average number of nucleotide differences among sequences within a population sample. Both Fs and R2 are powerful tests used to detect recent population expansions under assumptions of neutrality [81, 82]. Significance of R2 and Fs were evaluated by comparing the observed value with a null distribution generated by 10,000 replicates, using the empirical population sample size and observed number of segregating sites implemented by DnaSP version 4.10.9 . Moreover, in order to estimate the demographic parameters of past population expansions we calculated mismatch distributions (or the distribution of the pairwise genetic distances) for all populations using DnaSP. Time and magnitude of the inferred population expansion were determined by calculating θ0, θ1 and τ, where θ0 = 2N0μ (N0 = population size before expansion); θ1 = 2N1μ (N1 = population size after expansion); and τ = 2μt (μ = mutation rate per site per generation; t = time in generations).
The mutation rate per lineage per year (λ) was estimated by solving the formula λ = d/2T, where d is the genetic distance between C. multilineata and C. atrilobata, and T is the time since divergence between the two species used. We used a T of 3.5 million years (Myr), as that is the upper limit age for the final closure of the Isthmus of Panama . The rate of 2.21%/Myr (within lineages) that we estimated is very similar to that obtained in a recent survey of Chromis using a slightly different portion of the cyt b gene (2.36%/Myr; . The closure of the Isthmus of Panama was used in several other studies to estimate mutation rates in reef fishes (e.g.: [35, 86–88]).
Migration rates between the major biogeographical provinces (Brazil, the Caribbean, central Atlantic islands and eastern Atlantic islands) Nm (where N is effective female population size and m is migration rate) were calculated with the software MIGRATE version 1.7.6 , which uses a maximum likelihood approach based on coalescence theory . Estimators of migration rates based on coalescence theory can detect asymmetries (directionality) in migration rates and differences in population sizes, a considerable advantage when testing migration rates in the context of evolutionary theory . Most of the default settings for MIGRATE were used on the first run, but the number of trees sampled was increased to 10,000 for the short chains and 100,000 for the long chains to avoid local maxima on the likelihood surface. A trial run was used to generate the input parameters; the average of results of 10 runs (number of trees sampled was progressively increased from 10,000 to 300,000 for the short chains and from 100,000 to 3,000,000 for the long chains) is reported here. We also used the software IM to estimate migration between populations of C. multilineata; IM uses a Markov chain Monte Carlo approach . The results from the IM analysis are not shown because they were completely compatible with the results from MIGRATE.
In addition, we re-analyzed data from four groups of reef fish species (the wrasse genus Halichoeres , and the parrotfish genus Sparisoma ) to specifically assess predictions from the center of origin and center of accumulation hypotheses. To do so we constructed statistical parsimony networks for those species as well as Chromis multilineata using the computer program TCS version 1.21  and analyzed the geographical distribution of mtDNA haplotypes.
This research initiative began in discussions with John Briggs, and we wish to acknowledge his fundamental contribution to our research program. We thank B. M. Feitoza, B. P. Ferreira, C. E. Ferreira, S. R. Floeter, J. L. Gasparini, Z. Hillis-Starr, S. Karl, B. Luckhurst, O. Luiz-Junior, D. Murie, D. Parkyn, B. Philips, J. Pitt, I. L. Rosa, R. S. Rosa, C. L. S. Sampaio, S. Sponaugle, R. Toonen and B. Victor for help with sampling and laboratory work. Discussions with N. Knowlton, H. Lessios, G. Paulay, J. Randall and R. Toonen greatly improved the manuscript. Collection permits were provided by the Department of Agriculture and Fisheries of Bermuda (permit 01/12-2001), the Belize Fisheries Department (permit GEN/FIS/15/04/2002), the National Park Service at St. Croix, U.S. Virgin Islands (permit BUIS-2001-SCI-0004), IBAMA Brazil, Departamento de Pesca de Sao Tome, Direccao das Pescas do Cabo Verde, the Administrator of Ascension Island, the Governor of St. Helena Island. US Airforce for logistical support at Ascension Island. Fishes were collected following the guidelines of the University of Hawaii Institutional Animal Care & Use Committee. This work was financially supported by the Brazilian Navy, the Smithsonian Tropical Research Institute, the National Geographic Society (grant 7708-04 to L. A. Rocha), the US National Science Foundation (grants DEB 9727048 and OCE-0453167 to B. Bowen), and the HIMB-NWHI Coral Reef Research Partnership (NMSP MOA 2005-008/66882).
- Ekman S: Zoogeography of the Sea. 1953, London , Sidgwick and JacksonGoogle Scholar
- Briggs JC: Operation of zoogeographic barriers. Syst Zool. 1974, 23: 248-256.View ArticleGoogle Scholar
- Veron JE: Corals in space and time: biogeography and evolution of the Scleractinia. 1995, Ithaca, NY , Cornell University Press, 321-Google Scholar
- Palumbi SR: What can molecular genetics contribute to marine biogeography? An urchin's tale. J Exp Mar Biol Ecol. 1996, 203 (1): 75-92.View ArticleGoogle Scholar
- Paulay G: Diversity and distribution of reef organisms. Life and death on coral reefs. Edited by: Birkeland CE. 1997, New York , Chapman & Hall, 298-353.View ArticleGoogle Scholar
- Randall JE: Zoogeography of shore fishes of the Indo-Pacific region. Zool Studies. 1998, 37 (4): 227-268.Google Scholar
- Bellwood DR, Hughes TP: Regional-scale assembly rules and biodiversity of coral reefs. Science. 2001, 292 (5521): 1532-1535.View ArticlePubMedGoogle Scholar
- Bellwood DR, Hughes TP, Connoly SR, Tanner J: Environmental and geometric constraints on Indo-Pacific coral reef biodiversity. Ecol Lett. 2005, 8 (6): 643-651.View ArticleGoogle Scholar
- Darwin C: On the origin of species by means of natural selection or preservation of favoured races in the struggle for life. 1859, London , MurrayGoogle Scholar
- Briggs JC: The marine East Indies: diversity and speciation. J Biogeogr. 2005, 32: 1517-1522.View ArticleGoogle Scholar
- Briggs JC: Do centers of origin have a center?. Paleobiology. 1981, 7 (4): 305-307.Google Scholar
- Briggs JC: Centers of origin in biogeography. Biogeography Monograph. 1984, Leeds , University of Leeds, 1:Google Scholar
- Santini F, Winterbottom R: Historical biogeography of the Indo-western Pacific coral reef biota: is the Indonesian region a centre of origin?. J Biogeogr. 2002, 29: 189-205.View ArticleGoogle Scholar
- Mora C, Chittaro PM, Sale PF, Kritzer JP, Ludsin SA: Patterns and processes in reef fish diversity. Nature. 2003, 421: 933-936.View ArticlePubMedGoogle Scholar
- Ladd HS: Origin of the Pacific island molluscan fauna. Am J Sci. 1960, 258A: 137-150.Google Scholar
- Jokiel PL, Martinelli FJ: The vortex model of coral reef biogeography. J Biogeogr. 1992, 19: 449-458.View ArticleGoogle Scholar
- Connolly RC, Bellwood DR, Hughes GH: Indo-Pacific biodiversity of coral reefs: Deviations from a mid-domain model. Ecology. 2003, 84 (8): 2178-2190.View ArticleGoogle Scholar
- Williams ST, Reid DG: Speciation and diversity on tropical rocky shores: a global phylogeny of snails of the genus Echinolittorina. Evolution. 2004, 58 (10): 2227-2251.View ArticlePubMedGoogle Scholar
- Meyer CP, Geller JB, Paulay G: Fine scale endemism on coral reefs: Archipelagic differentiation in turbinid gastropods. Evolution. 2005, 59 (1): 113-125.View ArticlePubMedGoogle Scholar
- Bernardi G, Bucciarelli G, Costagliola D, Robertson DR, Heiser JB: Evolution of coral reef fish Thalassoma spp. (Labridae). 1. Molecular phylogeny and biogeography. Mar Biol. 2004, 144: 369-375.View ArticleGoogle Scholar
- Barber PH, Bellwood DR: Biodiversity hotspots: evolutionary origins of biodiversity in wrasses (Halichoeres: Labridae) in the Indo-Pacific and new world tropics. Mol Phylogenet Evol. 2005, 35: 235-253.View ArticlePubMedGoogle Scholar
- Palumbi SR: Molecular biogeography of the Pacific. Coral Reefs. 1997, 16: S47-S52.View ArticleGoogle Scholar
- Rogers AR, Harpending HC: Population growth makes waves in the distribution of pairwise genetic distances. Mol Biol Evol. 1992, 9: 552-569.PubMedGoogle Scholar
- Avise JC: Phylogeography: the history and formation of species. 2000, Cambridge , Harvard University Press, 447-Google Scholar
- Zink RM: Methods in comparative phylogeography, and their application to studying evolution in the North American Aridlands. Integr Comp Biol. 2002, 42 (5): 953-959.View ArticlePubMedGoogle Scholar
- Benzie JAH, Ballment E, Forbes AT, Demetriades NT, Sugama K, Haryanti, Moria S: Mitochondrial DNA variation in Indo-Pacific populations of the giant tiger prawn, Penaeus monodon. Mol Ecol. 2002, 11: 2553-2569.View ArticlePubMedGoogle Scholar
- Briggs JC: Marine Zoogeography. 1974, New York , McGraw-HillGoogle Scholar
- Rocha LA, Craig MT, Bowen BW: Phylogeography and the conservation of coral reef fishes. Coral Reefs. 2007, 26 (3): 501-512.View ArticleGoogle Scholar
- Feitoza BM, Rocha LA, Luiz-Junior OJ, Floeter SR, Gasparini JL: Reef fishes of St. Pauls Rocks: new records and notes on biology and zoogeography. aqua, J Ichthyol Aquat Biol. 2003, 7 (2): 61-82.Google Scholar
- Rocha LA: Patterns of distribution and processes of speciation in Brazilian reef fishes. J Biogeogr. 2003, 30: 1161-1171.View ArticleGoogle Scholar
- Muss A, Robertson DR, Stepien CA, Wirtz P, Bowen BW: Phylogeography of Ophioblennius: the role of ocean currents and geography in reef fish evolution. Evolution. 2001, 55 (3): 561-572.View ArticlePubMedGoogle Scholar
- Lessios HA, Kane J, Robertson DR: Phylogeography of the pantropical sea urchin Tripneustes: contrasting patterns of population structure between oceans. Evolution. 2003, 57 (9): 2026-2036.View ArticlePubMedGoogle Scholar
- Lessios HA, Kessing BD, Pearse JS: Population structure and speciation in tropical seas: global phylogeography of the sea urchin Diadema. Evolution. 2001, 55 (5): 955-975.View ArticlePubMedGoogle Scholar
- Rocha LA, Bass AL, Robertson DR, Bowen BW: Adult habitat preferences, larval dispersal, and the comparative phylogeography of three Atlantic surgeonfishes (Teleostei: Acanthuridae). Mol Ecol. 2002, 11: 243-252.View ArticlePubMedGoogle Scholar
- Rocha LA, Robertson DR, Rocha CR, Van Tassell JL, Craig MT, Bowen BW: Recent invasion of the tropical Atlantic by an Indo-Pacific coral reef fish. Mol Ecol. 2005, 14 (13): 3921-3928.View ArticlePubMedGoogle Scholar
- Rocha LA, Robertson DR, Roman J, Bowen BW: Ecological speciation in tropical reef fishes. Proc Biol Sci. 2005, 272 (1563): 573-579.PubMed CentralView ArticlePubMedGoogle Scholar
- Bowen BW, Bass AL, Muss A, Carlin JL, Robertson DR: Phylogeography of two Atlantic squirrelfishes (Family Holocentridae): exploring links between pelagic larval duration and population connectivity. Mar Biol. 2006, 149 (4): 899-913.View ArticleGoogle Scholar
- Robertson DR, Karg F, de Moura RL, Victor B, Bernardi G: Mechanisms of speciation and faunal enrichment in Atlantic parrotfishes. Mol Phylogenet Evol. 2006, 40: 795-807.View ArticlePubMedGoogle Scholar
- Rogers AR: Genetic evidence for a Pleistocene population explosion. Evolution. 1995, 49: 608-615.View ArticleGoogle Scholar
- Floeter SR, Rocha LA, Robertson DR, Joyeux JC, Smith-Vaniz WF, Wirtz P, Edwards A, Barreiros JP, Ferreira CEL, Gasparini JL, Brito A, Falcon JM, Bowen BW, Bernardi G: Atlantic reef fish biogeography and evolution. J Biogeogr. 2008, 35 (1): 22-47.Google Scholar
- Rocha LA: Mitochondrial DNA and color pattern variation in three western Atlantic Halichoeres (Labridae), with the revalidation of two species. Copeia. 2004, 2004 (4): 770-782.View ArticleGoogle Scholar
- Bowen BW, Muss A, Rocha LA, Grant WS: Shallow mtDNA coalescence in Atlantic pygmy angelfishes (Genus Centropyge) indicates a recent invasion from the Indian Ocean. J Hered. 2006, 97 (1): 1-12.View ArticlePubMedGoogle Scholar
- Taylor MS, Hellberg ME: Marine radiations at small geographic scales: speciation in neotropical reef gobies (Elacatinus). Evolution. 2005, 59 (2): 374-385.PubMedGoogle Scholar
- Taylor MS, Hellberg ME: Comparative phylogeography in a genus of coral reef fishes: biogeographic and genetic concordance in the Caribbean. Mol Ecol. 2006, 15: 695-707.View ArticlePubMedGoogle Scholar
- Lima D, Freitas JEP, Araujo ME, Sole-Cava A: Genetic detection of cryptic species in the frillfin goby Bathygobius soporator. J Exp Mar Biol Ecol. 2005, 320: 211-223.View ArticleGoogle Scholar
- Wellington GM, Robertson DR: Variation in larval life-history traits among reef fishes across the Isthmus of Panama. Mar Biol. 2001, 138: 11-22.View ArticleGoogle Scholar
- Manning RB, Chace FA: Decapod and stomatopod Crustacea from Ascension Island, South Atlantic Ocean. Smiths Contrib Zool. 1990, 503: 1-91.View ArticleGoogle Scholar
- Mora C: Dispersal of juvenile and adult reef fishes with floating objects and their recruitment into Gorgona Island reefs. Bull Mar Sci. 2001, 68: 557-561.Google Scholar
- Wells RJD, Rooker JR: Spatial and temporal patterns of habitat use by fishes associated with Sargassum mats in the northwestern Gulf of Mexico. Bull Mar Sci. 2004, 74 (1): 81-99.Google Scholar
- Stramma L, England M: On the water masses and mean circulation of the South Atlantic Ocean. J Geophys Res. 1999, 104 (C9): 20863-20884.View ArticleGoogle Scholar
- Hazeleger W, de Vries P, Friocourt Y: Sources of the equatorial undercurrent in the Atlantic in a high-resolution ocean model. J Phys Oceanogr. 2003, 33 (4): 677-693.View ArticleGoogle Scholar
- Bellwood DR, Wainwright PC: The history and biogeography of fishes on coral reefs. Coral Reef Fishes Dynamics and Diversity on a Complex Ecosystem. Edited by: Sale PF. 2002, New York , Academic Press, 5-32.View ArticleGoogle Scholar
- Sachs JP, Anderson RF, Lehman SJ: Glacial surface temperatures of the southeast Atlantic Ocean. Science. 2001, 293: 2077-2079.View ArticlePubMedGoogle Scholar
- Thacker CE: Phylogeny and species boundaries in the gobiid genus Gnatholepis (Teleostei: Perciformes). Zool J Linn Soc. 2004, 142: 573-582.View ArticleGoogle Scholar
- Munday PL, van Herwerden L, Dudgeon CL: Evidence for sympatric speciation by host shift in the sea. Curr Biol. 2004, 14: 1498-1504.View ArticlePubMedGoogle Scholar
- Wirtz P, Ferreira CEL, Floeter SR, Fricke R, Gasparini JL, Iwamoto T, Rocha LA, Sampaio CLS, Schliewen UK: Coastal fishes of Sao Tome and Principe islands, Gulf of Guinea (Eastern Atlantic Ocean)-an update. Zootaxa. 2007, 1523: 1-48.Google Scholar
- Rüber L, Van Tassell JL, Zardoya R: Rapid speciation and ecological divergence in the American seven-spined gobies (Gobiidae, Gobiosomatini) inferred from a molecular phylogeny. Evolution. 2003, 57 (7): 1584-1598.View ArticlePubMedGoogle Scholar
- Ramos RTC, Rocha CR, Rocha LA: New species of Emblemaria (Teleostei: Chaenopsidae) from Northern Brazil. Copeia. 2003, 2003 (1): 95-98.View ArticleGoogle Scholar
- Williams JT, Mounts JH: Descriptions of six new Caribbean fish species in the genus Starksia (Labrisomidae). aqua, J Ichthyol Aquat Biol. 2003, 6 (4): 145-164.Google Scholar
- McCartney MA, Acevedo J, Heredia C, Rico C, Quenouille B, Bermingham E, McMillan WO: Genetic mosaic in a marine species flock. Mol Ecol. 2003, 12: 2963-2973.View ArticlePubMedGoogle Scholar
- Westneat MW, Alfaro MA: Phylogenetic relationships and evolutionary history of the reef fish family Labridae. Mol Phylogenet Evol. 2005, 36: 370-390.View ArticlePubMedGoogle Scholar
- Craig MT, Hastings PA: A molecular phylogeny of the groupers of the subfamily Epinephelinae (Serranidae) with a revised classification of the Epinephelini. Ichthyol Res. 2007, 54: 1-17.View ArticleGoogle Scholar
- Fessler JL, Westneat MW: Molecular phylogenetics of the butterflyfishes (Chaetodontidae): Taxonomy and biogeography of a global coral reef fish family. Mol Phylogenet Evol. 2007, 45: 50-68.View ArticlePubMedGoogle Scholar
- Quenouille B, Bermingham E, Planes S: Molecular systematics of the damselfishes (Teleostei: Pomacentridae): Bayesian phylogenetic analyses of mitochondrial and nuclear DNA sequences. Mol Phylogenet Evol. 2004, 31: 66-88.View ArticlePubMedGoogle Scholar
- Banford HM, Bermingham E, Collette BB, McCafferty S: Phylogenetic systematics of the Scomberomorus regalis (Teleostei: Scombridae) species group: Molecules, morphology and biogeography of Spanish mackerels. Copeia. 1999, 1999 (3): 596-613.View ArticleGoogle Scholar
- Werding B, Hiller A, Lemaitre R: Geographic and depth distributional patterns of western Atlantic Porcellanidae (Crustacea: Decapoda: Anomura), with an updated list of species. Mem Mus Victoria. 2003, 60 (1): 79-85.Google Scholar
- O'Dea A, Jackson JBC, Fortunato H, Smith JT, D'Croz L, Johnson KG, Todd JA: Environmental change preceded Caribbean extinction by 2 million years. Proc Natl Acad Sci USA. 2007, 104 (13): 5501-5506.PubMed CentralView ArticlePubMedGoogle Scholar
- Allen GR: Damselfishes of the World. 1991, Melle, Germany , MergusGoogle Scholar
- Thresher RE: Reproduction in Reef Fishes. 1984, Neptune City, NJ , TFH Publications, 399-Google Scholar
- Robertson DR, Petersen CW, Brawn JD: Lunar reproductive cycles of benthic-brooding reef fishes: reflections of larval-biology or adult-biology?. Ecol Monogr. 1990, 60: 311-329.View ArticleGoogle Scholar
- Thresher RE: Reef Fish Behavior and Ecology on the Reef and in the Aquarium. 1980, St. Petesburg , Palmetto Publishing Co.Google Scholar
- Meyer A: Evolution of mitochondrial DNA in fishes. Biochemistry and molecular biology of fishes. Edited by: Hochanchka PW, Mommsen TP. 1993, New York , Elsevier, 2: 1-38.Google Scholar
- Excoffier L, Smouse PE, Quatro JM: Analysis of molecular variance inferred from metric distances among DNA haplotypes: application to human mitochondrial DNA restriction data. Genetics. 1992, 131: 479-491.PubMed CentralPubMedGoogle Scholar
- Weir BS, Cockerham CC: Estimating F-statistics for the analysis of population structure. Evolution. 1984, 38: 1358-1370.View ArticleGoogle Scholar
- Nei M: Molecular Evolutionary Genetics. 1987, New York , Columbia University PressGoogle Scholar
- Posada D, Crandall KA: Model Test: testing the model of DNA substitution. Bioinformatics. 1998, 14: 817-818.View ArticlePubMedGoogle Scholar
- Tamura K, Nei M: Estimating the number of nucleotide substitutions in the control region of mitochondrial DNA in humans and chimpanzees. Mol Biol Evol. 1993, 15: 512-526.Google Scholar
- Ronquist F, Huelsenbeck JP: MrBayes 3: Bayesian phylogenetic inference under mixed models. Bioinformatics. 2003, 19: 1572-1574.View ArticlePubMedGoogle Scholar
- Huelsenbeck JP, Ronquist F: Mrbayes: Bayesian inference of phylogeny. Bioinformatics. 2001, 17: 754-View ArticlePubMedGoogle Scholar
- Swofford DL: Phylogenetic Analysis Using Parsimony (*and other Methods). Version 4.0b10. 2002, Sunderland, MA , SinauerGoogle Scholar
- Fu YX: Statistical tests of neutrality of mutations against population growth, hitchhiking and background selection. Genetics. 1997, 147: 915-925.PubMed CentralPubMedGoogle Scholar
- Ramos-Onsins SE, Rozas J: Statistical properties of new neutrality tests against population growth. Mol Biol Evol. 2002, 19 (2092-2100):Google Scholar
- Rozas J, Sanchez-DelBarrio JC, Messegyer X, Rozas R: DnaSP, DNA polymorphism analyses by the coalescent and other methods. Bioinformatics. 2003, 19: 2496-2497.View ArticlePubMedGoogle Scholar
- Coates AG, Obando JA: The geological evolution of the Central American Isthmus. Evolution and environment in tropical America. Edited by: Jackson JBC, Budd AF, Coates AG. 1996, Chicago , University of Chicago PressGoogle Scholar
- Domingues VS, Bucciarelli G, Almada VC, Bernardi G: Historical colonization and demography of the Mediterranean damselfish, Chromis chromis. Mol Ecol. 2005, 14 (13): 4051-4063.View ArticlePubMedGoogle Scholar
- Knowlton N, Weigt LA, Solórzano LA, Mills DK, Bermingham E: Divergence in proteins, mitochondrial DNA, and reproductive compatibility across the Isthmus of Panama. Science. 1993, 260: 1629-1632.View ArticlePubMedGoogle Scholar
- Bermingham E, McCafferty SS, Martin AP: Fish biogeography and molecular clocks: Perspectives from the Panamanian Isthmus. Molecular Systematics of Fishes. Edited by: Kocher TD, Stepien CA. 1997, New York , Academic Press, 113-128.View ArticleGoogle Scholar
- McCartney MA, Keller G, Lessios HA: Dispersal barriers in tropical oceans and speciation in Atlantic and eastern Pacific sea urchins of the genus Echinometra. Mol Ecol. 2000, 9: 1391-1400.View ArticlePubMedGoogle Scholar
- Beerli P: MIGRATE: documentation and program, part of LAMARC. Version 1.7.6. 2004, Revised May 10, 2004., [http://evolution.genetics.washington.edu/lamarc.html]Google Scholar
- Beerli P, Felsenstein J: Maximum likelihood estimation of migration rates and effective population numbers in two populations using a coalescent approach. Genetics. 1999, 152 (2): 763-773.PubMed CentralPubMedGoogle Scholar
- Beerli P, Felsenstein J: Maximum likelihood estimation of a migration matrix and effective population sizes in n subpopulations by using a coalescent approach. Proc Natl Acad Sci USA. 2001, 98 (8): 4593-4568.View ArticleGoogle Scholar
- Nielsen R, Wakeley J: Distinguishing migration from isolation. A Markov chain Monte Carlo approach. Genetics. 2001, 158: 885-896.PubMed CentralPubMedGoogle Scholar
- Clement M, Posada D, Crandall KA: TCS: A computer program to estimate gene genalogies. Mol Ecol. 2000, 9: 1657-1659.View ArticlePubMedGoogle Scholar
This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.