Meta-population structure in a coral reef fish demonstrated by genetic data on patterns of migration, extinction and re-colonisation
© Bay et al; licensee BioMed Central Ltd. 2008
Received: 14 March 2008
Accepted: 12 September 2008
Published: 12 September 2008
Management strategies for coral reefs are dependant on information about the spatial population structure and connectivity of reef organisms. Genetic tools can reveal important information about population structure, however, this information is lacking for many reef species. We used a mitochondrial molecular marker to examine the population genetic structure and the potential for meta-population dynamics in a direct developing coral reef fish using 283 individuals from 15 reefs on the Great Barrier Reef, Australia. We employed a hierarchical sampling design to test genetic models of population structure at multiple geographical scales including among regions, among shelf position and reefs within regions. Predictions from island, isolation-by-distance and meta-population models, including the potential for asymmetric migration, local extinction and patterns of re-colonisation were examined.
Acanthochromis polyacanthus displayed strong genetic structure among regions (ΦST = 0.81, P < 0.0001) that supported an equilibrium isolation-by-distance model (r = 0.77, P = 0.001). Significant structuring across the continental shelf was only evident in the northern region (ΦST = 0.31, P < 0.001) and no evidence of isolation-by-distance was found within any region. Pairwise ΦST values indicated overall strong but variable genetic structure (mean ΦST among reefs within regions = 0.28, 0.38, 0.41), and asymmetric migration rates among reefs with low genetic structure. Genetic differentiation among younger reefs was greater than among older reefs supporting a meta-population propagule-pool colonisation model. Variation in genetic diversities, demographic expansion and population growth estimates indicated more frequent genetic bottlenecks/founder effects and subsequent population expansion in the central and southern regions compared to the northern one.
Our findings provide genetic evidence for meta-population dynamics in a direct developing coral reef fish and we reject the equilibrium island and isolation-by distance models at local spatial scales. Instead, strong non-equilibrium genetic structure appears to be generated by genetic bottlenecks/founder effects associated with population reductions/extinctions and asymmetric migration/(re)-colonisation of such populations. These meta-population dynamics varied across the geographical range examined with edge populations exhibiting lower genetic diversities and higher rates of population expansion than more central populations. Therefore, coral reef species may experience local population reductions/extinctions that promote overall meta-population genetic differentiation.
Coral reefs are important ecosystems in ecological, evolutionary and socio-economic contexts but are under increasing threat from anthropogenic impacts [1, 2]. The most effective conservation tool available to coral reef managers so far has been the use of individual or networks of Marine Protected Areas (MPAs) [2, 3]. To maximise the effectiveness of MPAs information about the spatial population structure, patterns of connectivity and the stability of local populations within and among protected areas is required [3, 4]. Genetic tools can provide valuable information about the scale, structure and stability of populations  when direct census estimates required to empirically demonstrating these processes are impractical to obtain [6, 7]. The development and application of molecular markers to examine patterns of connectivity in coral reef organisms have increased greatly in recent years , but comparatively little attention has been placed on examining predictions from meta-population theory  despite the intuitive appeal of this approach in describing such systems. Here we present only the second examination of genetic meta-population dynamics in a coral reef fish in more than a decade and the first to use a highly variable and drift-sensitive molecular marker.
Genetic models of spatial structure have developed from Wright's original island model  into the stepping-stone, or isolation-by-distance models [10–13], and later into meta-population models [e.g. [14–19]]. The island model has played a central role in the development of population ecological and evolutionary theory because of its mathematical simplicity and tractability, but it makes many assumptions including equal population sizes, equal migration rates, discrete generation times, amongst others . When these assumptions are met, populations should display similar genetic diversities, levels of sub-division and demographic histories . The isolation-by-distance model relaxes these assumptions somewhat by allowing migration rates to be higher among populations in close proximity compared to more distant ones . Both the island and isolation-by-distance models assume drift-migration equilibrium, which may not be met when migration rates are low and/or genetic bottlenecks are frequent .
In contrast to these island-based models, meta-population theory attempts to understand systems of evolutionarily ephemeral, genetically subdivided populations that persist through time via colonisation and migration from source populations [21–23]. Such populations are connected by migration rates that are high enough to rescue local populations from extinction, but low enough for genetic drift to generate measurable genetic differences among populations . Meta-population dynamics can therefore be distinguished from island dynamics by low, variable levels of migration among populations. While earlier models assumed that migration was infrequent, and only re-colonised patches in which populations had gone extinct [14, 15], it is becoming evident that migration rates may be asymmetrical  and can vary temporally [e.g. [25, 26]], spatially [e.g. [27–29]] and behaviourally among individuals [e.g. [30–32]]. In turn, such variation in migration rates may generate a diversity of genetic signatures depending on the relative importance of each process . A comparison of traditional (based on the island model) and coalescence-based analytical approaches that can separate overall genetic differentiation into reciprocal migration rates [33, 34] should be able to illuminate the roles of migration and drift in establishing patterns of genetic differentiation among populations .
Theory suggests that the sources and rates of colonisation relative to subsequent migration are critical determinants of the evolution of the genetic structure of meta-populations [18, 19, 23]. In a meta-population with low levels of migration, the meta-population propagule-pool model predicts high genetic differentiation among populations if empty patches are colonised by individuals from a single source [18, 19]. This high genetic differentiation results from genetic bottlenecks arising from founder effects of a few, genetically similar individuals. In contrast, under the meta-population migrant-pool model, low genetic differentiation among populations should result if extinct patches are colonised by many migrants from a larger number of source populations [18, 19]. Because the colonisers are numerous and harbour greater genetic diversity, the re-colonised population will not experience a bottleneck, and because the genetic diversity is sampled from a range of sources, differentiation among populations will be decreased under this model. Under the propagule-pool model, populations will always display greater genetic differentiation than under an island model because of genetic bottlenecks associated with low and asymmetric colonisation rates. In contrast, greater genetic differentiation among populations will only occur under the migrant-pool meta-population compared to an island model if rates of colonisation and migration rates are low [18, 19]. Consequently, meta-population dynamics can be distinguished from island dynamics by a strong but variable level of genetic structure among populations. Separating the effects of colonisation pattern and subsequent migration in meta-populations, however, is often difficult because the relative effects of colonisation and migration cannot be estimated from a single estimate of genetic differentiation . If the propagule-pool model is operating, and if migration rates are low, then populations with younger coalescent histories should display greater genetic structure among each other compared to that found among older ones [35, 23]. Therefore, it should be possible to distinguish different types of meta-population dynamics among genetically structured populations by patterns of genetic differentiation observed among populations that have experienced more recent population bottlenecks compared to those with older ones [36–40].
The effects of these meta-population dynamics on spatial genetic structure have typically been estimated in terms of genetic differentiation among populations, but may also be evident in patterns of genetic diversity and demographic history of local populations [23, 40, 41]. As such, important information about the role of local extinctions in a meta-population, and its importance in determining the geographic range of species, may be gained by examining patterns of genetic diversity and demographic history in sets of local populations [8, 42, 43]. In general, meta-population dynamics should reduce genetic diversity at the level of the meta-population and genetic diversity within the sub-populations compared to a panmictic population of equal size to the meta-population . The relative magnitude of this difference, however, may vary greatly depending on the frequency and intensity of effective population size reductions among the sub-populations, and the mode of subsequent re-colonization and migration [ and references therein]. For example, reductions in genetic diversities may be large where reductions in the effective size of sub-populations are frequent and large, and if re-colonisation obeys a propagule-pool model. Coalescence times within sub-populations are also reduced under this scenario because of genetic bottlenecks associated with propagule-pool colonisation . If sub-populations experience minor fluctuations in population size, or if colonisation obeys a migrant-pool model, where colonisers originate from a range of populations, sub-populations may not experience genetic bottlenecks and genetic diversities may not be affected to a measurable extent [23, 40, 41].
Fishes on coral reefs occupy a naturally fragmented environment where patches of suitable reef habitat are surrounded by unsuitable habitat such as open sand and deep water making them amenable to analysis under a meta-population framework. At present, however, we know little about the presence, spatial extent and genetic consequences of meta-populations dynamics in marine systems [, but see ]. Species with short, or non-existent larval durations generally display considerable genetic structure across small spatial scales [45–48] and have, therefore, the potential for genetic meta-population dynamics. Coral reef fishes generally display large effective population sizes  and many marine fishes are characterised by relatively shallow population genetic structures reflecting genetic bottlenecks associated with Pleistocene climate variation [reviewed by [50, 51]]. Genetic bottlenecks following post-Pleistocene extinctions of local populations have previously been regarded as unimportant in the population dynamics of coral reef fishes [44, 52]. Recent studies, however, have uncovered a diversity of coalescent signatures operating at a range of temporal scales [e.g. [53–58]] suggesting an important role of demographic bottlenecks and local extinctions in the evolutionary ecology of coral reef fishes.
Acanthochromis polyacanthus is a common fish on Australia's Great Barrier Reef (GBR) and lacks a dispersive larval phase. This life-history trait, coupled with the physical history of the GBR, and the sensitivity of mitochondrial molecular markers to drift, provides an opportunity to evaluate the potential importance of meta-population dynamics to the evolution of genetic structure on small spatial scales in a natural marine system. Previous investigations of A. polyacanthus, as well as the presence of several colour morphs on the GBR, suggest that sufficient time has elapsed since colonisation of the GBR began by this species for it to have evolved genetic differences among populations separated by small geographic distances [46, 57, 59, 60]. Here we examine if and how the genetic structure of this species varies at two spatial scales (i.e. within and among regions). Using conventional genetic estimates of fixation, we test whether the genetic structure of this species is best described by equilibrium-island, or isolation-by-distance models. Next, we examine the evidence for meta-population dynamics in A. polyacanthus by evaluating spatial differences in migration rates and conformation to predictions from the propagule and migrant-pool re-colonisation models. Finally, we evaluate the role of extinction by comparing patterns of genetic diversity and demographic history among reefs and regions.
Genetic diversities among regions and reefs
Locations and genetic diversities of the 15 populations of Acanthochromis polyacanthus sampled by this study.
Haplotype diversity (± SD)
Nucleotide diversity (± SD)
(0.035 ± (0.018)
Yonge Reef (YON)
Day Reef (DAY)
Lizard Island (LIZ)
North Direction (NDR)
Martin Reef (MAR)
Linnet Reef (LIN)
Pith Reef (PIT)
Myrmidon Reef (MYR)
Britomart Reef (BRI)
Trunk Reef (TRU)
Orpheus Island (ORP)
One Tree Island (OTI)
Sykes Reef (SYK)
Polmaise Reef (POL)
Broomefield Reef (BRO)
Spatial population genetic structure among regions and reefs
Analysis of Molecular Variance within and among regions on the Great Barrier Reef
a) Among regions
Among populations within regions
b) Within Northern Region
Among populations within shelves
c) Within Central Region
Among populations within shelves
Level of genetic differentiation among older and younger populations.
PIT – BRI
MYR – BRI
Historical population demography among regions and reefs
Demographic histories of Acanthochromis polyacanthus among reefs and regions using mismatch analysis.
Region or reef sample
Demographic histories of Acanthochromis polyacanthus among reefs and regions using neutrality tests.
Region or reef sample
Genetic structure among regions
The mtDNA marker used here revealed strong genetic structure among northern, central and southern populations of A. polyacanthus on the GBR. This result is consistent with previous findings of strong allozyme structure between northern region bi-coloured and southern region black morphs of this species [59, 60] and indicates the presence of further strong structuring among bi-coloured morphs between northern and central regions. This pattern of genetic structure is consistent with large-scale water circulation patterns on the GBR, which are characterised by an offshore outer shelf bifurcation of the South Equatorial Current into a northern flowing Hiri and a southern flowing East Australian Currents around 16°S latitude [63, 64] positioned between the Northern and Central regions examined here. At smaller spatial scales this inflow generates complex continental shelf current patterns modulated by winds, tides and local reef matrix densities . Such cross-shelf currents differ among regions and are predominantly weaker and flow in an onshore direction in the northern region, are stronger and flow in an offshore direction in the central and southern regions of the GBR . The genetic structure of A. polyacanthus was consistent with these cross shelf current patterns. Continental shelf effects were detected in the northern but not in the central region and a higher abundance of individuals in a second divergent lineage was found on more inshore northern reefs (Figure 4). Our analyses also indicate that the spatial structure among regions is best described by an isolation-by-distance model of dispersal in which genetic exchange is more likely among neighbouring locations than more distant ones (Figure 2). While patterns of isolation-by-distance have been reported at large spatial scales in marine organisms [e.g. [66, 67]], our study reports one of very few examples of such dynamics at smaller spatial scales in a coral reef fish [see also [44, 68]] and suggests that a migration-drift equilibrium may be met at this spatial scale [8, 69].
Genetic structure within regions
Strong genetic structure was evident within all three regions and was attributable to continental shelf position in the northern region (Table 2b), however, no evidence of isolation-by-distance was found within any of the regions. These results are consistent with a departure from migration-drift equilibrium and a greater importance of genetic drift over migration in structuring this species at smaller spatial scales . It is possible, however, that reduced statistical power resulting from fewer reefs being compared within regions than between prevented the detection of isolation-by-distance within regions where it existed. A reduction in the number of reefs compared among regions to the number of reefs compared within regions detected a significant correlation between genetic and geographical distance. Although larger sample sizes within regions will be required to resolve this issue fully, this result indicates that our tests were powerful enough to detect isolation-by-distance even when fewer comparisons were included. Genetic differentiation among reefs within regions was comparable (Figure 3a – c) and generally very high. For example, Lizard Island (LIZ) and North Direction Island (NDR) are separated by less than 10 km but have a ΦST value of 0.26 and Martin Reef (MAR) and Linnet Reef (LIN) are separated by less than 6 km and have a ΦST value of 0.33. Such differentiation is among the highest recorded for any coral reef fish at such small spatial scales [e.g. [58, 70, 71]] and is, despite obvious difficulties in comparing differentiation based on different molecular markers and taxa, comparable to values obtained for many direct-developing coral reef organisms at similar spatial scales [45, 47, 48, 57, 72–75]. This finding suggests that the spatial patterns described by this study may be broadly applicable to many direct developing coral reef species.
Asymmetric migration and re-colonisation of reefs within regions
Despite the strong genetic structure of A. polyacanthus among reefs, our analyses indicated that migration rates were substantial and asymmetric in between 20 – 40% of comparisons. These patterns indicate a departure from the island model (which assumes equal migration rates among all populations) and add to a growing number of examples documenting asymmetric migration rates using genetic evidence [e.g. ]. Variation in migration rates may affect the dynamics of meta-populations and spatial structure of species in several ways [22, 26]. If habitat patches differ in quality and local populations differ in size, migration from larger source populations into smaller sink populations may facilitate their long-term persistence by rescuing them from extinction [24, 26, 27]. If such dynamics are spatially and temporally persistent they should be identifiable by low genetic differentiation, and high and mostly uni-directional migration from sources to sinks. The strength of genetic differentiation was largely congruent with the Bayesian estimates of migration (Figure 3) and insignificant or small pairwise ΦST values were often (e.g. DAY – LIZ; BRI – PIT; NDR – MAR; OTI – POL; SYK – POL) but not always (e.g. NDR – LIN) associated with asymmetric migration rates. The direction of migration however, did not identify any obvious sources or sinks in A. polyacanthus since most potential sinks (reefs that received a higher number of immigrants) also produced substantial numbers of emigrants as expected for potential source reefs (e.g. LIZ, TRU, POL, OTI: Figure 3d – f). The patterns uncovered here may indicate that migration at local scales is a stochastic process, although further sampling would be required to fully determine this. A second process by which asymmetric migration can affect the spatial structure of a meta-population is through the re-colonisation of extinct patches [18, 19, 35]. Asymmetric colonisation events from a single patch such as those observed among some reefs here (e.g. MYR to TRU; POL to OTI) could result in more genetic structure among more recently (re)-colonised patches through the effect of genetic drift associated with such founder effects, but then erase this structure over time as more migrants are received (propagule-pool model). The strength of fixation (ΦST) was greater between younger, more recently expanded populations compared to that found between reefs that expanded longer ago providing support for the colonisation model (Table 3). This study therefore adds to only a handful of investigations that have explored, and largely supported, the predictions from such meta-population colonisation models [reviewed by ]. This conclusion, however, is based on coalescence estimates with considerable variation and a small number of comparisons, and should, therefore, be interpreted with caution. It does imply, however, that population size reductions/extinctions and genetic bottlenecks/founder effects associated with re-colonisation of such reefs have the potential to increase the level of genetic structure in this meta-population, at least over relatively short evolutionary time scales.
Genetic diversities and historical population demography
Genetic diversities recorded here were generally high and comparable with those reported for other coral reef fishes using the same mitochondrial marker [e.g. [51, 71] but see ] supporting the general observation of high genetic diversity in many coral reef fish species . Intra-specific variation in genetic diversities in A. polyacanthus was substantial both among reefs and regions and greater than those previously reported among reef fish populations separated by more than 17000 km , or taxonomically distinct species from different environments . Our analyses also indicated consistent and substantial variation in historical population growth patterns of A. polyacanthus among reefs and regions on the GBR (Table 1, 4, 5, Figure 4 and 5). The central and southern regions, and many (although not all) reefs within them, were characterised by population expansion indicated by mismatch analysis and neutrality indices. In particular, the southern region, located close to the species' southern border, was characterised by lower mitochondrial genetic diversity and population expansion rates 6 – 19 times greater than the central and northern regions. These lower genetic diversities and higher population expansion rates could be the result of either demographic or spatial range expansions. Spatial range expansion is particularly worth considering given the proximity of the sampled reefs in the southern region to the geographical range limit of A. polyacanthus. The genetic signatures of demographic and range expansion models can be very similar  particularly when migration rates among sub-populations are high [78, 79]. When migration rates are low, spatially expanding populations may display multi-modal mismatch distributions, similar to those expected under constant population size models . While it is possible that both the central and southern regions represent a spatial range expansion of this species in a north to south direction along the GBR, we consider this unlikely for two reasons. First, the distribution of colour morphs and lineages within colour morphs were confined to regions. If north-to-south range expansion were occurring in this species, we would have expected colonisation of both northern lineages in the central region and colonisation of black and white lineages in the southern region. This was not the case (see Additional file 2). Second, we did not sample any multi-modal mismatch distributions in the central and southern regions as expected in spatially expanding species with relatively low migration rates (Figure 4). The demographic expansion model therefore appears a more parsimonious explanation for our results, although further sampling in the southern region would be required before these hypotheses can be definitively distinguished. In all, this suggests that genetic bottlenecks and founder effects arising through colonisation of new or extinct sub-populations may affect the meta-population dynamics towards the edges of a species' geographic range to a greater extent than within more centrally located regions [42, 43].
There were substantial differences in the mismatch distributions and population growth rates among reefs within regions (Figure 4, 5, Table 4). Most reefs had comparably high genetic diversities (Table 1), low population expansion rates, and times that were significantly different from 0 (Figure 5). This provides evidence for constant population size and was further supported by mismatch analysis for four of these reefs (YON, MYR, BRO, POL). Three reefs Trunk (TRU), One Tree Island (OTI) and Sykes Reef (SYK) were characterised by low genetic diversities (Table 1), uni-modal, left-skewed mismatch distributions (Figure 4), high population growth rates and expansion times that could not be distinguished from 0 (Figure 5) all consistent with population expansion. Mismatch analysis indicated population expansion in a further three reefs (BRI, ORP, PIT) from the central region. In concert, these results provide evidence for recent population bottlenecks and/or local extinctions on these reefs. Four reefs in the northern region (NDR, LIZ, LIN, MAR) had very high nucleotide diversities and bimodal mismatch distributions that were most likely the result of constant population sizes (as indicated by mismatch analysis for LIN, Table 4) and the presence of approximately equal numbers of individuals from two differentiated lineages at these locations (Figure 4, Additional file 2). The presence and maintenance of two or more divergent lineages across relatively small spatial scales is emerging as a feature of many coral reef organisms [51, 80–82]. The dynamic history of coral reefs associated with sea-level fluctuations from the mid Miocene to the end of the Pleistocene has been implicated as the major evolutionary force promoting divergence and subsequent coalescence in species with high dispersal potential [e.g. [51, 76, 82]]. Because of the limited dispersal potential of A. polyacanthus, deep genetic divergences may evolve among locations in the absence of sea-level fluctuations and significant genetic structure has previously been found between GBR, Coral Sea and Melanesian populations of this species [[57, 60], Additional file 2]. It is therefore likely that colonisation events from these locations may be the source of the second lineage prominent on the inshore northern reefs highlighting the potential for long distance dispersal in this brooding species. The absence of this second lineage from several northern, all central and southern reefs, however, indicates that this is likely to be a rare and/or recent event.
The population genetic structure of A. polyacanthus on the GBR contained significant variation consistent with an equilibrium isolation-by-distance model at larger spatial scales and a non-equilibrium meta-population dynamics model at smaller ones. Meta-population dynamics were evident at smaller spatial scales indicated by the high levels of population structure (consistent with propagule-pool re-colonisation), asymmetric migration rates, variation in genetic diversities and historical demography parameters. The maintenance of strong genetic structure despite considerable migration rates and a signature of population expansion in many reef samples indicate that local population size fluctuations and extinctions may play an important role in generating genetic structure in this coral reef fish. While meta-population models provide an intuitive framework to describe the dynamics of fragmented eco-systems and were supported by genetic evidence in the direct developing species examined here, the general application of this model to other coral reef organisms remains unclear. The brooding habit of A. polyacanthus is unusual, however, examples of strong natal homing and significant genetic structure at local scales are increasingly being documented in more typical, coral reef fishes with larval dispersal [e.g. [5, 83]]. Furthermore, the diversity of demographic histories displayed by coral reef fishes, including the results presented here, indicates substantial potential for non-equilibrium population genetic dynamics that may vary across the species' geographical range. Future population genetic studies of coral reef organisms should therefore incorporate local and regional sampling regimes of species with different life histories. Doing so will further enhance our understanding of the role of meta-population dynamics and local population fluctuations in the ecology and evolution of coral reef associated species.
Study species and sampling locations
A. polyacanthus were collected from 15 back-reefs from 3 regions on the Great Barrier Reef during 2003 and 2004 (Table 1, Figure 1). This species is very common and show not apparent variation in abundance on reefs either along or across the GBR [84, 85]. The geographic distribution of this species extends from 15°N to 26°S http://www.fishbase.org and the southern region sampled here was therefore near the southern limit of this species. A. polyacanthus is polymorphic with a southern black morph, and a black and white morph in the central and northern regions of the reef. Fish were captured using small hand spears or baited fence nets and hand nets and were transported either alive or on ice to the nearest shore where genetic samples (fin clips) were taken and preserved in 80% EtOH. Genetic effects of continental shelf position, inner, middle and outer, were examined among replicate reefs in two regions (i.e. north and central). Because the southern region contains no true inner- and mid-shelf zones, the genetic structure in this region was explored using pairwise genetic distances
DNA extraction and amplification
Genomic DNA was extracted from approx 0.25 cm2 of fin tissue (re-hydrated by several TE washes) using a modified CTAB extraction procedure [, excluding the phenol-chloroform step] and re-suspended in 50 μl of TE. Concentrated DNA stock was diluted 1:50 yielding a final DNA concentration of approximately 50 ng/μL. A 400 base-pair region of the mitochondrial control region (hyper variable region I, HVR I) was amplified using the specific forward primer (dLoopF 5'-CATATATGTRTTATCAACATTA-3') and the universal primers CR-E H16498 (5'-CCTGAAGTAGGAACCAGATG-3') . PCR reactions were carried out on a PE Applied Biosystems 9700 in 25 μl containing 1× PCR Buffer (Promega), 3.5 mM MgCl2, 200 μM each dNTP, 0.4 μM each primer, 10 ng template DNA and 0.1 unit of Taq Polymerase (Promega). Amplification using the polymerase chain reaction (PCR) was conducted with a cycling profile of 30 s at 94°C, 45 s at 48°C and 60 s at 72°C for 30 cycles. The cycling profile was flanked by an initial 2 min denaturing step (94°C) and a 10 min terminal extension phase (72°C). PCR products were cleaned up using PCR clean up columns (Qiagen) and re-suspended in 20 μL of ddH2O. Two μL of the purified product was sequenced in the forward and reverse direction using a dyenamic ET dye terminator kit (Megabase) chemistry (Amersham Biosciences). Sequence products were purified using Sephadex G-50 columns. Labelled extension products were sequenced on a Megabase 1000 (Amersham Biosciences). Representative sequences have been deposited in a public database [GenBank: DQ199666 – DQ199947].
The control region sequences were aligned and edited using Sequencher 4.2 (GeneCodes Corp. Michigan USA) and ESEE . The best model of nucleotide substitution was determined using Modeltest 3.5  and PAUP* 4.0b10 . The hierarchical likelihood tests and Akaike Information Criteria agreed that the Tamura and Nei model  with γ = 0.3012 fitted the data best (-LogLikelihood = 1220.65; AIC = 2453.30). This model and rate heterogeneity estimate was used in all following analyses of population genetic structure. Base frequencies and the ts/tv ratio from all sampled fish combined were calculated using Modeltest. The role of saturation was explored by comparing the topology of neighbour joining trees (implemented in PAUP*) including and excluding transitions. All individuals retained membership in the same major clades and transitions were included in all further analyses.
Population Genetic Structure
Estimates of mitochondrial haplotype and nucleotide diversity [91–93] and their associated standard deviations were calculated using Arlequin 3.11  for each reef and region. Statistical differences in genetic diversity among regions were determined using Kruskal-Wallis tests implemented in SPSS 16.
Hierarchical population genetic structure of A. polyacanthus among regions and reefs was explored using AMOVA with 1000 permutations [95, 96] implemented in Arlequin. Pairwise genetic distances among reefs were calculated using Arlequin and a false discovery rate to correct for multiple tests (Benjamini-Hochberg) was applied to all pairwise comparisons .
Differences in levels of migration among reefs were investigated further using Migrate 220.127.116.11 [33, 34]. This program calculates reciprocal migration rates (i.e., 4Nem from a to b, and vice versa) using a coalescence maximum likelihood approach (Markov Chain Monte Carlo with Hastings Metropolis importance sampling) and assumes constant mutation rates and equal effective population sizes. Because of the molecular divergences detected by phylogenetic and AMOVA analyses, Migrate was run on each geographical region separately. Reciprocal migration rates were interpreted as different when their 95% confidence intervals did not overlap. Extensive sampling regimes including 10 short chains sampled 10,000 times each and 5 long chains sampled 100,000 each were averaged over 5 replicates. Migrate was implemented on a SGI Origin 3800 computer in the James Cook University High Performance Computing Facility using a ts/tv ratio of 1.53 (estimated by Modeltest). Earlier versions of Migrate had problems with convergence of estimates, migration estimates and their associated profile likelihoods in low signal data . Here we used a newer version of Migrate with high signal data and found no evidence of lack of convergence as repeated runs were highly consistent using the implemented sampling strategy. We also found congruence of migration estimates with conventional estimates of population structure.
Genetic distances were estimated using the conventional genetic distance estimator, ΦST, and geographical distances among locations were calculated using Vincenty's inverse method http://www.ga.gov.au/nmd/geodesy/datums/distance.jsp. Correlations between genetic and geographical distances were tested using a Mantel test (1,000 permutations) of both log-transformed and non-transformed data following  and implemented in GenAlEx 6 . A false discovery rate to correct for multiple tests (Benjamini-Hochberg) was applied to all pairwise comparisons . Log transformation did not affect the overall results and therefore, only non-transformed kms versus ΦST are presented here.
Demographic histories were explored using mismatch analysis in Arlequin and DnaSP  using 1000 bootstrap replicates. These analyses computed the distribution of pairwise nucleotide differences to that expected under population models of constant and sudden expansion and assume that sub-populations are panmictic. The best fit of models was determined using log-likelihood ratio tests. The sums of square deviations (SSD) from the observed mismatch distributions were calculated for each of the models and log-likelihoods calculated following the methodology outlined in . The statistical significance of log-likelihood ratios was adjusted using FDR as above and when different, the model with the lowest SSD was accepted. The age of population expansion was estimated by τ = 2 μt, where μ = the mutation rate and t = generation time. τ values were not converted to absolute years because of uncertainty associated with estimating mutation rates in fishes  and because comparisons were relative among regions and reefs. Differences in τ values were compared among regions using a Kruskal-Wallis test. Predictions from the meta-population re-colonisation models were examined by comparing estimates of genetic differentiation among older and younger reefs. Relative ages of reef samples were defined using the time of population expansion estimates (τ). Younger reefs were defined by having τ confidence intervals that could not be distinguished from the present (i.e. 95% CI of τ included 0). Older reefs were defined by having τ confidence intervals that did not encompass the present (i.e. 95% CI of τ did not include 0). Following this methodology, replicate younger and older reefs could only be compared in the central and southern regions because the 95% CI of τ did not include 0 in any northern reefs. Because of the uncertainty associated with τ estimates and the relatively low number of reefs compared here, these results should be interpreted with caution.
The exponential population growth parameter (g) was calculated among reefs and regions using a maximum likelihood coalescence approach implemented in Fluctuate 1.4 . This approach assumes that subpopulations are panmictic, that population structure, growth, immigration and recombination rates have remained constant throughout the lifespan of the underlying coalescent tree . A search strategy, each 10000 steps long using ten short chains, sampling every 20th step, followed by ten long chains each of 20000 steps sampled every 20th step, gave consistent results among runs and was used in all analyses. Estimates of g were compared among regions using a Kruskal-Wallis test. We calculated Fu's Fs  and R2  neutrality indices using DnaSP because they are the most sensitive to population growth . Significance level was corrected for multiple testing using FDR as above.
The staff at Lizard, Orpheus and One Tree Island Research stations, the crew on MV Escape and numerous volunteers all made the field collections possible. We thank M. Kingsford for donation of Broomefield and Polmaise samples and L. van Herwerden for sequences from Sykes Reef. Financial support was provided by James Cook University (LKB and RHC), the Australian Museum (LKB), Australian Coral Reef Society (LKB), the Australian Research Council (RHC and MJC), the Hermon Slade Foundation (MJC) and the estate of W. V. Scott (MJC). MJH van Oppen provided helpful comments on an earlier version of this manuscript. This study conformed to current Australian Law and was conducted under JCU Ethics and GBRMPA permits.
- Wilkinson C: Status of coral reefs of the world. 2002, Townsville, Australian Institute of Marine ScienceGoogle Scholar
- Hughes TP, Baird AH, Bellwood DR, Card M, Connolly SR, Folke C, Grosberg R, Hoegh-Guldberg O, Jackson JBC, Kleypas J, Lough JM, Marchall P, Nystrom M, Palumbi SR, Pandolfi JM, Rosen B, Roughgarden J: Climate change, human impacts, and the resilience of coral reefs. Science. 2003, 301: 929-933.PubMedGoogle Scholar
- Palumbi SR: Population genetics, demographic connectivity, and the design of marine reserves. Ecol Appl. 2003, 13: S146-S158.Google Scholar
- Thorrold SR, Jones GP, Hellberg ME, Burton RS, Swearer SE, Neigel JE, Morgan SG, Warner RR: Quantifying larval retention and connectivity in marine populations with artificial and natural markers. B Mar Sci. 2002, 70: 291-308.Google Scholar
- Jones GP, Planes S, Thorrold SR: Coral reef fish larvae settle close to home. Curr Biol. 2005, 15: 1314-1318.PubMedGoogle Scholar
- Almany GR, Berumen ML, Thorrold SR, Planes , Jones GP: Local replenishment of coral reef fish populations in a marine reserve. Science. 2007, 316: 742-744.PubMedGoogle Scholar
- Hellberg ME: Footprints on water: the genetic wake of dispersal among reefs. Coral Reefs. 2007, 26: 463-473.Google Scholar
- Hellberg ME: Genetic approaches to understanding marine metapopulation dynamics. Marine Metapopulations. Edited by: Kritzer JP, Sale PF. 2006, Amsterdam, Academic Press, 413-455.Google Scholar
- Wright S: Evolution in Mendelian populations. Genetics. 1931, 16: 97-159.PubMed CentralPubMedGoogle Scholar
- Wright S: Isolation by distance. Genetics. 1943, 28: 114-138.PubMed CentralPubMedGoogle Scholar
- Kimura M: Solution of a process of random genetic drift with a continous model. Proc Natl Acad Sci U S A. 1955, 41 (3): 144-150.PubMed CentralPubMedGoogle Scholar
- Kimura M, Weiss GH: The stepping stone model of population structure and the decrease of genetic correlation with distance. Genetics. 1964, 49: 561-576.PubMed CentralPubMedGoogle Scholar
- Weiss GH, Kimura M: A mathematical analysis of the stepping-stone model of genetic correlation. J Appl Prob. 1964, 2: 129-149.Google Scholar
- Levins R: Extinction. Some mathematical problems in biology. Edited by: Gerstenhaber M. 1970, Providence, American Mathematical Society, 75-107.Google Scholar
- Slatkin M: Gene flow and genetic drift in a species subject to frequent local extinctions. Theor Popul Biol. 1977, 12: 253-262.PubMedGoogle Scholar
- Slatkin M: Gene Flow in Natural Populations. Annu Rev Ecol Syst. 1985, 16: 393-430.Google Scholar
- Slatkin M: Gene flow and the geographic structure of natural populations. Science. 1987, 236: 787-792.PubMedGoogle Scholar
- Wade MJ, McCauley DE: Extinction and recolonization – their effects on the genetic differentiation of local populations. Evolution. 1988, 42: 995-1005.Google Scholar
- Whitlock MC, McCauley DE: Some population genetic consequences of colony formation and extinction – genetic correlations within founding groups. Evolution. 1990, 44: 1717-1724.Google Scholar
- Hedrick PW: Genetics of Populations. 2003, Massachusetts, Jones and Bartlett PublishersGoogle Scholar
- Hanski IA: Metapopulation Ecology. 1999, Oxford, Oxford University PressGoogle Scholar
- Hanski IA, Gilpin ME: Meta-population biology. Ecology, genetics and evolution. 1997, San Diego, Academic PressGoogle Scholar
- Pannell JR, Charlesworth B: Effects of metapopulation processes on measures of genetic diversity. Philos Trans R Soc Lond B Biol Sci . 2000, 355 (1404): 1851-1864.PubMed CentralPubMedGoogle Scholar
- Stacey PB, Taper M: Environmental variation and the persistence of small populations. Ecol Appl. 1992, 2: 18-29.Google Scholar
- Harrison S: Local extinction in a metapopulation context: An empirical evaluation. Metapopulation dynamics: Empirical and theoretical investigations. Edited by: Gilpin ME, Hanski IA. 1991, London, Academic Press, 73-88.Google Scholar
- Stacey PB, Johnson VA, Taper ML: Migration within metapopulations: The impact upon local population dynamics. Metapopulation biology. Ecology, genetics and evolution. Edited by: Hanski IA, Gilpin ME. 1997, San Diego, Academic Press, 267-291.Google Scholar
- Pulliam HR: Sources, sinks and population regulation. Am Nat. 1988, 132: 652-661.Google Scholar
- Hanski IA, Gyllenberg M: Two general metapopulation models and the core-satellite species hypothesis. Am Nat. 1993, 142: 17-41.Google Scholar
- Valone TJ, Brown JH: Effects of competition, colonisation and extinction on rodent species diversity. Science. 1995, 267: 880-883.PubMedGoogle Scholar
- Aars J, Ims RA: Population dynamics and genetic consequences of spatial density-dependent dispersal in patchy populations. Am Nat. 2000, 155: 252-265.PubMedGoogle Scholar
- Blundell GM, Ben-David M, Groves P, Bowyer RT, Geffen E: Characteristics of sex-biased dispersal and gene flow in coastal river otters: implications for natural recolonisation of extirpated populations. Mol Ecol. 2002, 11: 289-303.PubMedGoogle Scholar
- Fraser DJ, Lippe C, Bernatchez L: Consequences of unequal population size, asymmetric gene flow and sex-biased dispersal on population structure in brook charr (Salvelinus fontinalis). Mol Ecol. 2004, 13: 67-80.PubMedGoogle 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: 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 U S A. 2001, 98: 4563-4568.PubMed CentralPubMedGoogle Scholar
- Giles BE, Goudet J: A case study of genetic structure in a plant metapopulation. Metapopulation biology. Ecology, genetics and evolution. Edited by: Hanski IA, Gilpin ME. 1997, San Diego, Academic Press, 429-454.Google Scholar
- Olivieri I, Couvet D, Gouyon PH: The genetics of transient populations – research at the metapopulation level. Trends Ecol Evol. 1990, 5: 207-210.PubMedGoogle Scholar
- Gilpin ME: The genetic effective size of a metapopulation. Biol J Linn Soc. 1991, 42: 165-175.Google Scholar
- McCauley DE: Genetic consequences of local population extinction and recolonization. Trends Ecol Evol. 1991, 6: 5-8.PubMedGoogle Scholar
- Harrison S, Hastings A: Genetic and evolutionary consequences of metapopulation structure. Trends Ecol Evol. 1996, 11: 180-183.PubMedGoogle Scholar
- Pannell JR, Charlesworth B: Neutral genetic diversity in a meta-population with recurrent local extinction and recolonisation. Evolution. 1999, 53: 664-676.Google Scholar
- Pannell JR: Coalescence in a meta-population with recurrent local extinction and recolonisation. Evolution. 2003, 57: 949-961.PubMedGoogle Scholar
- Lennon JJ, Turner JRG, Connell D: A meta-population model of species boundaries. Oikos. 1997, 78: 486-502.Google Scholar
- Holt RD, Keitt TH: Alternative causes for range limits: a meta-population perspective. Ecol Lett. 2000, 3: 41-47.Google Scholar
- Planes S, Galzin R, Bonhomme F: A genetic metapopulation model for reef fishes in oceanic islands: the case of the surgeonfish, Acanthurus triostegus. J Evol Biol. 1996, 9: 103-117.Google Scholar
- Bernardi G: Barriers to gene flow in Embiotoca jacksoni, a marine fish lacking a pelagic larval stage. Evolution. 2000, 54: 226-237.PubMedGoogle Scholar
- Planes S, Doherty PJ, Bernardi G: Strong genetic divergence among populations of a marine fish with limited dispersal, Acanthochromis polyacanthus, within the Great Barrier Reef and the Coral Sea. Evolution. 2001, 55: 2263-2273.PubMedGoogle Scholar
- Bernardi G, Vagelli A: Population structure in Banggai cardinalfish, Pterapogon kauderni, a coral reef species lacking a pelagic larval phase. Mar Biol. 2004, 145: 803-810.Google Scholar
- Hoffman EA, Kolm N, Berglund A, Arguello JR, Jones AG: Genetic structure in the coral-reef-associated Banggai cardinalfish, Pterapogon kauderni. Mol Ecol. 2005, 14: 1367-1375.PubMedGoogle Scholar
- Palumbi SR: Genetic divergence, reproductive isolation and marine speciation. Annu Rev Ecol Syst. 1994, 25: 547-572.Google Scholar
- Grant WS, Bowen BW: Shallow population histories in deep evolutionary lineages of marine fishes: insights from sardines and anchovies and lessons for conservation. Heredity. 1998, 89: 415-426.Google Scholar
- Fauvelot C, Bernardi G, Planes S: Reductions in the mitochondrial DNA diversity of coral reef fish provide evidence of population bottlenecks resulting from Holocene sea-level change. Evolution. 2003, 57: 1571-1583.PubMedGoogle Scholar
- Kritzer JP, Sale PF: The metapopulation ecology of coral reef fishes. Marine metapopulations. Edited by: Kritzer JP, Sale PF. 2006, Amsterdam, Academic Press, 31-68.Google Scholar
- Thacker C, Thompson AR, Roje DM, Shaw EY: New expansions in old clades: population genetics and phylogeny of Gnatholepis species (Teleostei:Gobioidei) in the Pacific. Mar Biol. 2008, 153: 375-385.Google Scholar
- Craig MT, Eble JA, Robertson DR, Bowen BW: High genetic connectivity across the Indian and Pacific Oceans in the reef fish Myripristis berndti (Holocentridae). Mar Ecol-Prog Ser. 2007, 334: 245-254.Google 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. Heredity. 2006, 97: 1-12.Google Scholar
- Bowen BW, Bass AL, Muss A, Carlin J, Robertson DR: Phylogeography of two Atlantic squirrelfishes (Family Holocentridae): exploring links between pelagic larval duration and population connectivity. Mar Biol. 2006, 149: 899-913.Google Scholar
- van Herwerden L, Doherty PJ: Contrasting genetic structures across two hybrid zones of a tropical reef fish, Acanthochromis polyacanthus (Bleeker 1855). J Evol Biol. 2006, 19: 239-252.PubMedGoogle Scholar
- Dudgeon CL, Gust N, Blair D: No apparent genetic basis to demographic differences in scarid fishes across the continental shelf of the Great Barrier Reef. Mar Biol. 2000, 137: 1059-1066.Google Scholar
- Doherty PJ, Mather P, Planes S: Acanthochromis polyacanthus, a fish lacking larval dispersal, has genetically differentiated populations at local and regional scales on the Great Barrier Reef. Mar Biol. 1994, 121: 11-21.Google Scholar
- Planes S, Doherty PJ: Genetic and color interactions at a contact zone of Acanthochromis polyacanthus: a marine fish lacking pelagic larvae. Evolution. 1997, 51: 1232-1243.Google Scholar
- Wolstenholme DR: Animal mitochondrial DNA: structure and evolution. Int Rev Cytol. 1992, 141: 173-216.PubMedGoogle Scholar
- McMillan WO, Palumbi SR: Rapid rate of control region evolution in Pacific butterflyfishes (Chaetodontidae). J Mol Evol. 1997, 45: 473-484.PubMedGoogle Scholar
- James MK, Armsworth PR, Mason LB, Bode L: The structure of reef fish metapopulations: modelling larval dispersal and retention patterns. Proc Biol Sci. 2002, 269 (1505): 2079-2086.PubMed CentralPubMedGoogle Scholar
- Bode M, Bode L, Armsworth PR: Larval dispersal reveals regional sources and sinks in the Great Barrier Reef. Mar Ecol-Prog Ser. 2006, 308: 17-25.Google Scholar
- Brinkman R, Wolanski E, Deleersnijder E, McAllister F, Skirving W: Oceanic inflow from the Coral Sea into the Great Barrier Reef. Estuar Coast Shelf S. 2001, 54: 655-668.Google Scholar
- Palumbi SR, Grabowsky G, Duda TF, Geyer L, Tachino N: Speciation and population genetic structure in tropical Pacific sea urchins. Evolution. 1997, 51: 1506-1517.Google Scholar
- Planes S, Fauvelot C: Isolation by distance and vicariance drive genetic structure of a coral reef fish in the Pacific Ocean. Evolution. 2002, 56: 378-399.PubMedGoogle Scholar
- Bay LK, Choat JH, van Herwerden L, Robertson DR: High genetic diversities and complex genetic structure in an Indo-Pacific tropical reef fish (Chlorurus sordidus): evidence of an unstable evolutionary past?. Mar Biol. 2004, 144: 757-767.Google Scholar
- Hellberg ME: Stepping-stone gene flow in the solitary coral Balanophyllia elegans: equilibrium and nonequilibrium at different spatial scales. Mar Biol. 1995, 123: 573-581.Google Scholar
- Doherty PJ, Planes S, Mather P: Gene flow and larval duration in seven species of fish from the Great Barrier Reef. Ecology. 1995, 76: 2373-2391.Google Scholar
- Bay LK, Crozier RH, Caley MJ: The relationship between gene flow and pelagic larval duration in eight pomacentrid fish species on the Great Barrier Reef. Mar Biol. 2006, 149: 1247-1256.Google Scholar
- Hellberg ME: Dependence of gene flow on geographical distance in two solitary corals with different larval dispersal capabilities. Evolution. 1996, 50: 1167-1175.Google Scholar
- Ayre DJ, Hughes TP: Genotypic diversity and gene flow in brooding and spawning corals along the Great Barrier Reef, Australia. Evolution. 2000, 54: 1590-1605.PubMedGoogle Scholar
- Ayre DJ, Hughes TP: Climate change, genotypic diversity and gene flow in reef-building corals. Ecol Lett. 2004, 7: 273-278.Google Scholar
- Underwood JN, Smith LD, van Oppen MJH, Gilmour JP: Multiple scales of genetic connectivity in a brooding coral on isolated reefs following catastrophic bleaching. Mol Ecol. 2007, 16: 771-784.PubMedGoogle Scholar
- Klanten OS, Choat JH, van Herwerden L: Extreme genetic diversity and temporal rather than spatial partitioning in a widely distributed coral reef fish. Mar Biol. 2007, 150: 659-670.Google Scholar
- Ibrahim KM, Nichols RA, Hewitt GM: Spatial patterns of genetic variation generated by different forms of dispersal during range expansion. Heredity. 1996, 77: 282-291.Google Scholar
- Ray N, Currat M, Excoffier L: Intra-Deme Molecular Diversity in Spatially Expanding Populations. Mol Biol Evol. 2003, 20 (1): 76-86.PubMedGoogle Scholar
- Excoffier L: Patterns of DNA sequence diversity and genetic structure after a range expansion: lessons from the infinite-island model. Mol Ecol. 2004, 13: 853-864.PubMedGoogle Scholar
- Knowlton N: Sibling species in the sea. Annu Rev Ecol Syst. 1993, 24: 189-216.Google Scholar
- Barber PH, Palumbi SR, Erdmann MV, Moosa MK: Biogeography: a marine Wallace's line?. Nature. 2000, 406: 692-693.PubMedGoogle Scholar
- Bernardi G, Holbrook SJ, Schmitt RJ, Crane NL: Genetic evidence for two distinct clades in a French Polynesian population of the coral reef three-spot damselfish Dascyllus trimaculatus. Mar Biol. 2003, 143: 485-490.Google Scholar
- Gerlach G, Atema J, Kingsford MJ, Black K, Miller-Sims V: Smelling home can prevent dispersal of reef fish larvae. Proc Natl Acad Sci U S A. 2007, 104 (3): 858-863.PubMed CentralPubMedGoogle Scholar
- Williams DM: Patterns in the distribution of fish communities across the central Great Barrier Reef. Coral Reefs. 1982, 1: 35-43.Google Scholar
- Williams DM: Longitudinal and latitudinal variation in the structure of reef fish communities. The inaugural Great Barrier Reef conference. Edited by: Baker JT, Carter RM, Sammarco PW, Stark KP. 1983, Townsville, James Cook University Press, 265-270.Google Scholar
- Sambrook J, Russell DW: Molecular Cloning: A Laboratory Manual. 2001, Europe, CSHL PressGoogle Scholar
- Cabot E, Beckenbach AT: Simultaneous editing of multiple nucleic acid and protein sequences with ESEE. Comput Appl Biosci. 1989, 5: 233-243.PubMedGoogle Scholar
- Posada D, Crandall KA: Modeltest: testing the model of DNA substitution. Bioinformatics. 1998, 14: 817-818.PubMedGoogle Scholar
- Swofford DL: Phylogenetic Analysis Using Parsimony (*and other methods). 1998, Sunderland, Sinauers AssociatesGoogle Scholar
- Tamura K, Nei M: Estimation of the number of nucleotide substitutions in the control region of mitochondrial DNA in humans and chimpanzees. Mol Biol Evol. 1993, 10: 512-526.PubMedGoogle Scholar
- Tajima F: Evolutionary relationship of DNA sequences in finite populations. Genetics. 1983, 105: 437-460.PubMed CentralPubMedGoogle Scholar
- Tajima F: Measurement of DNA polymorphism. Mechanisms of Molecular Evolution. Introduction to molecular paleopopulation biology. Edited by: Takahata N, Clark AG. 1993, Tokyo, Japan Scientific PressGoogle Scholar
- Nei M: Molecular Evolutionary Genetics. 1987, New York, Colombia University PressGoogle Scholar
- Excoffier L, Laval LG, Schneider S: Arlequin ver. 3.0: An integrated software package for population genetics data analysis. Evol Bioinformatics Online. 2005, 1: 47-50.Google Scholar
- Weir BS, Cockerham CC: Estimating F-statistics for the analysis of population structure. Evolution. 1984, 38: 1358-1370.Google Scholar
- Excoffier L, Smouse PE, Quattro JE: 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
- Benjamini Y, Hochberg Y: Controlling the false discovery rate: A practical and powerful approach to multiple testing. J R Stat Soc B. 1995, 57: 289-300.Google Scholar
- Abdo Z, Crandall KA, Joyce P: Evaluating the performance of likelihood methods for detecting population structure and migration. Mol Ecol. 2004, 13: 837-851.PubMedGoogle Scholar
- Smouse PE, Long JC, Sokal RR: Multiple Regression and Correlation Extensions of the Mantel Test of Matrix Correspondence. Syst Zool. 1986, 35: 627-632.Google Scholar
- Rozas J, Sanchez-Delbarrio JC, Messeguer X, Rozas R: DnaSP, DNA polymorphism analyses by the coalescent and other methods. Bioinformatics. 2003, 19: 2496-2497.PubMedGoogle Scholar
- Peakall R, Smouse PE: GenAlEx 6: genetic analysis in Excel. Population genetic software for teaching and research. Mol Ecol Notes. 2006, 6: 288-295.Google Scholar
- Burnham KP, Anderson DR: Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach. 2002, New York, SpringerGoogle Scholar
- Ruzzante DE, Walde SJ, Gosse JC, Cussac VE, Habit E, Zemlak TS, Adams EDM: Climate control on ancestral population dynamics: insight from Patagonian fish phylogeography. Mol Ecol. 2008, 17: 2234-2244.PubMedGoogle Scholar
- Kuhner MK, Yamato J, Felsenstein J: Maximum likelihood estimation of population growth rates based on the coalescent. Genetics. 1998, 149: 429-434.PubMed CentralPubMedGoogle 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 S, Rozas J: Statistical properties of new neutrality tests against population growth. Mol Biol Evol. 2002, 19: 2092-2100.PubMedGoogle Scholar
- Huelsenbeck JP, Ronquist F: MR. BAYES: Bayesian inference of phylogenetic trees. Bioinformatics. 2001, 17: 754-755.PubMedGoogle 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.