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Why some species are widespread while others are very restricted geographically is one of the most basic questions in biology, although it remains largely unanswered. This is particularly the case for groups of closely related species, which often display large differences in the size of the geographical range despite sharing many other factors due to their common phylogenetic inheritance. We used ten lineages of aquatic Coleoptera from the western Palearctic to test in a comparative framework a broad set of possible determinants of range size: species' age, differences in ecological tolerance, dispersal ability and geographic location.
When all factors were combined in multiple regression models between 60-98% of the variance was explained by geographic location and phylogenetic signal. Maximum latitudinal and longitudinal limits were positively correlated with range size, with species at the most northern latitudes and eastern longitudes displaying the largest ranges. In lineages with lotic and lentic species, the lentic (better dispersers) display larger distributional ranges than the lotic species (worse dispersers). The size of the geographical range was also positively correlated with the extent of the biomes in which the species is found, but we did not find evidence of a clear relationship between range size and age of the species.
Our findings show that range size of a species is shaped by an interplay of geographic and ecological factors, with a phylogenetic component affecting both of them. The understanding of the factors that determine the size and geographical location of the distributional range of species is fundamental to the study of the origin and assemblage of the current biota. Our results show that for this purpose the most relevant data may be the phylogenetic history of the species and its geographical location.
Why some species are widespread while others are very restricted geographically is one of the most basic questions in biology, although it remains basically unanswered, despite the sustained interest from ecologists, biogeographers and evolutionary biologists (e.g., [1-5]). A range of ecological and evolutionary explanations have been suggested for the observed range size variation, based on differences in niche breadth or environmental tolerance, body size, population abundance, latitude, environmental variability, colonization and extinction dynamics, and dispersal ability [3,6-8]. However, there are still fundamental questions unresolved, best exemplified by the fact that closely related species often display dramatic differences in range size for largely unknown reasons. Tests of these differences remain relatively scarce, have been performed for examples of very few taxa (usually vertebrates), and generally fail to address the potentially confounding effects of the phylogenetic relatedness of species.
In this work we aim to test some likely determinants of the size of the geographical range in a phylogenetic comparative framework. Closely related species are expected to show more similarity than those that are distantly related because they share more common evolutionary history [9,10]. How range size evolves and the extent of heritability of the geographical range sizes of species has received much attention in the last years [11-14], as evidence for range size heritability would have important implications for ecology, evolution, and biogeography . Although a number of studies have investigated the existence of phylogenetic signal in range size in a variety of clades and from a wide range of analytical approaches, the patterns found have been mixed and the "heritability" of range size remains a contentious issue [13,14]. Phylogenetic comparative methods applied to whole lineages and not only species-pairs (e.g., [16-18]) may provide a more robust and powerful approach to estimate the phylogenetic signal in range size.
Among the potential determinants of range size we include ecological tolerance, dispersal ability, geographic location, and age of the species. For all of them we test their phylogenetic signal, as well as the phylogenetic signal of the size and location of the range itself.
1) Ecological tolerance. A broad ecological niche allows a species to persist in a wide range of different environments, while a narrow niche restricts a species to the few places where its niche requirements are met [19,20]. Hence, species with broad niches should be distributed over a wider range of different biomes than species with narrower ecological requirements, leading to larger geographical ranges . When these biomes are distributed equally along environmental gradients this poses the problem that species with lager ranges will inevitably overlap more different biomes. However, in the western Palaearctic (the centre of distribution of most of our studied lineages, see below) this problem is partly alleviated by the very heterogeneous distribution of environmental gradients. In this case, those species occurring in large biomes (e.g., [20,21]) would have large range sizes (as found e.g. by ), but they should not necessarily occupy more biomes than species with smaller ranges.
2) Dispersal ability. As a surrogate measure of dispersal ability we use water flow, as previous studies in freshwater invertebrates have established the relationship between main habitat type (lotic or lentic) and the size of the geographical range [22,23]. Lentic species should have better dispersal abilities due to the shorter geological duration of their habitats, and display on average larger geographical ranges than the species inhabiting the more persistent lotic habitats . However, the role of habitat constraints in aquatic organisms has yet not been assessed from a phylogenetic comparative framework in lineages in which there are species inhabiting both habitat types.
3) Geographic location. There are multiple cases of closely related species with a similar biology and ecology with extreme differences in the size of the geographical range. In these cases, the biogeographic settings in which species arise and evolve could determine their range sizes [14,25], with species with a "privileged" geographical position displaying higher range-sizes. For example, latitudinal gradients in geographic range size (Rapoport's rule) have been extensively studied and documented [6,26,27]. Evidence supporting that range sizes increase with latitude in the Palearctic and Nearctic above 40°-50°N has been found in a number of terrestrial groups , but the extent to which this is a general pattern remains contentious and has rarely been tested in a phylogenetic framework.
4) Age and area. We also consider the possible relationship between age and area, which requires to be tested in the context of a phylogeny even if not in the same comparative framework as the previous factors. Originally proposed to explain the distribution of the endemic flora of some islands , in its basic form the "age and area" hypothesis states that the older a species is the more likely it is to have occupied a wider geographical area. More precisely, it could be expected that species have a "life cycle" from origin to extinction that could be described through a variety of simple models (see  for a review). Although a number of studies have examined the evidence for geographic range size changes over evolutionary time across a wide range of clades (but never in insects), no consistent evidence has emerged to support any particular model . An inherent limitation of all these studies is that a direct test of the age and area model requires the geographic range size of a species or a clade to be known throughout its evolutionary history . This is usually not possible without extensive palaeontological data. Hence, a different approach has to be taken in neontological studies, considering interspecific variation in range sizes of contemporary species as a reflection of the intraspecific relationship . The examination of the interspecies relationship between geographic range size and age could thus be used as a surrogate of the transformation of range size with age in individual species [29,31].
We use a set of lineages of closely related species of different families of aquatic Coleoptera to investigate the relative role of different factors on determining the size of the geographical range of species. The Western Palearctic water beetle fauna is a suitable model to study range size issues, as water beetles are a rich and well-known insect group in both Europe and the Mediterranean Basin, exhibiting a high level of endemism but also with species widely distributed across the Palearctic and Holartic regions [32-34]. Spatial determinants of range size and temporal patterns of range evolution in invertebrates may differ substantially from that found in previous studies using vertebrate clades. Hence, the use of phylogenies at the species level for different groups of beetles, one of the most diverse and understudied lineages of animals, in what is in fact a set of independent evolutionary replicates, provides a unique opportunity to assess these issues from a phylogenetic comparative framework.
We have used a phylogenetically heterogeneous set of ten monophyletic lineages of water beetles (Table (Table1)1) occurring in the western Palearctic, some with both lotic and lentic species, and others encompassing exclusively either lotic or lentic species. The lineages used here belong to three different families of two suborders of Coleoptera (Adephaga and Polyphaga), representing several independent invasions of the aquatic medium . The full list of species and data used in this study are provided in Additional file 1.
1) The Ilybius subaeneus group (genus Ilybius ) includes 33 recognized species, occurring almost exclusively in stagnant water and with generally wide geographical ranges throughout large parts of the Palearctic or Nearctic, with some Holarctic species [36,37]. Together with the genus Rhantus, they are the most species-rich clade of the Palearctic fauna confined to stagnant water. Our dataset included 27 species.
2) The genus Deronectes is the largest clade of Palearctic Dytiscidae entirely confined to running waters, with a predominantly Mediterranean distribution reaching central Asia in the east . Species are usually restricted to relatively small geographical ranges, frequently in mountain regions. Here, we focused on the western Mediterranean clade, encompassing 26 recognized species or subspecies  of which our final dataset included 24.
3) The genus Graptodytes includes 21 recognized species distributed in the western Palearctic region , with both lotic and lentic species. Our final dataset included 18 taxa.
4) The Hydroporus planus group (genus Hydroporus) includes 51 species with a Palearctic distribution [36,40], also with both lotic and lentic species. We sampled 30 species, including most of the western Palearctic fauna.
5) The subgenus Enicocerus (genus Ochthebius) includes 15 recognized species exclusive of running waters , distributed in Europe and the middle East. We studied 9 species, including all member of the O. exculptus group .
6) The genus Limnebius Leach, with an almost world-wide distribution , is one of the most diverse genera of the family Hydraenidae. In his revision of the Palearctic species, Jäch  recognized several species groups, based on both external morphology and the structure of the male genitalia. Among them, the Limnebius nitidus subgroup includes 11 western Palearctic species with a rather uniform external morphology . Several species of this lineage have very restricted allopatric distributions, often limited to a single valley or mountain system, but there are also some species with wider geographical ranges. All inhabit running waters. We included all the species within this subgroup with a sole exception (L. nitifarus).
7-8) The "Haenydra" lineage (genus Hydraena) currently includes 86 recognized species [44,45] usually found in clean, fast flowing waters, often in mountain streams. They are distributed in the north Mediterranean region from Iberia to Iran. Many species of this lineage have very restricted distributions, often limited to a single valley or mountain system, but there are also some species with very wide geographical ranges, such as e.g., H. gracilis, present in the whole Europe from north Iberia to the Urals . Here, we included two different monophyletic lineages within "Haenydra": the H. gracilis and the H. dentipes clades , with 27 and 28 species respectively, of which we include 14 and 20.
9) The "Phothydraena" lineage (genus Hydraena ) currently include 9 recognized species, usually found in clean, fast flowing waters, often in mountain streams. Molecular data were available for seven species.
10) The genus Hydrochus includes about 180 described species . In the west Mediterranean (Iberian Peninsula, Morocco and south France) the genus is represented by 12 recognized species, 7 of them endemic to the area, which form a monophyletic group that also includes H. roberti, so far recorded from the Caucasus and Turkey . We include 12 of the 13 species of this clade.
We reconstructed the phylogenetic relationships within each lineage of water beetles from different combinations of mitochondrial and nuclear genes, depending on data availability. Phylogenies of Graptodytes, Enicocerus, "Haenydra" and Hydrochus were taken from recent works ([39,41,46,49]) respectively), pruning the trees to keep one specimen per species. Phylogenies of Deronectes, Ilybius and Hydroporus were updated with additional species and new analyses from  and  respectively; finally, phylogenies of Limnebius and Phothydraena were newly built for this work, with the same genes and methodology used in  for the two lineages of "Haenydra" (see Additional file 1 for details of the sequence data used for each lineage, Additional file 2, Table S1 for the primers used for amplification and sequencing, and Additional file 3 for the final trees used).
New phylogenies were built using a fast maximum likelihood algorithm as implemented in RAxML v7.0 , after aligning length-variable regions with MAFFT v5.8 . For the RAxML searches we used a partition by gene fragment, with a GTR+G evolutionary model independently estimated for each partition, following the methodology used in . To estimate the relative age of divergence of the lineages we used the Bayesian relaxed phylogenetic approach implemented in BEAST v1.4.7 , which allows variation in substitution rates among branches. We implemented a GTR+I+G model of DNA substitution with four rate categories using the mitochondrial data set, as the a priori rate used was estimated for mitochondrial genes only (see below). We used an uncorrelated lognormal relaxed molecular clock model to estimate substitution rates and the Yule process of speciation as the tree prior. Well supported nodes in the analyses of the combined sequence (when nuclear genes were used) were constrained to ensure that the Beast analyses obtained the same topology. We ran two independent analyses for each group sampling each 1000 generations, and used TRACER version 1.4 to determine convergence, measure the effective sample size of each parameter and calculate the mean and 95% highest posterior density interval for divergence times. Results of the two runs were combined with LogCombiner v1.4.7 and the consensus tree compiled with TreeAnnotator v1.4.7 . As each lineage was analysed separately, to establish the relationship between age and size of the geographical range we only require a relative dating of species within the lineage, not an absolute dating. Notwithstanding this, we used an approximate dating using as prior evolutionary rate for the combined mitochondrial sequence (including protein coding and ribosomal genes) a normal distribution with average rate of 0.01 substitutions/site/MY, with a standard deviation of 0.001. This rate is close to recent estimations of different groups of Coleoptera [46,53] and to the standard arthropod mitochondrial clock of 2.3% [54,55].
The evolutionary age of each species was calculated as the estimated age (in millions of years) of the most recent node that connects it to any other taxon or clade. The age estimates of Beast have usually large 95% confidence intervals, which has to be considered in the interpretation of the Results.
We created shaded maps of the distribution of the different species in a Geographic Information System based on the information compiled from published and unpublished sources [36,37,44,48,56,57]; checklist of the species of the Italian fauna, v. 2.0, http://www.faunaitalia.it). This resulted in individual species maps containing one or more polygons of distribution (species maps are available from the authors upon request). We then calculated different descriptors of the species' ranges: total range-size, maximum latitudinal and longitudinal limits, and latitudinal and longitudinal centroids.
Total range-size was calculated as the total area of the polygon or polygons, after reprojecting species maps to equal-area projections. For those species only known from their locality type (four species), range size was arbitrarily set to 100 km2. Latitudinal and longitudinal centroid positions (centre of mass of the polygon or polygons) and maximum latitudinal and longitudinal limits were computed as geographical coordinates.
All spatial data were processed using ArcGIS 9.2 software (Environmental Systems Research Institute Inc., Redlands, CA). Area variables (total range-size and average size of biomes) were log10 transformed for the analyses.
The main habitat type of the studied species was defined according to the general water flow regime, and three categories were distinguished: (1) lotic (strictly running water); (2) both running and standing water; and (3) lentic (strictly standing water) (see  for details on habitat choice criteria) (Additional file 1). For some analyses we pooled species in categories (2) and (3), thus dividing species limited to running water from the rest. Water flow is the most important habitat characteristic determining the composition of the assemblages of aquatic Coleoptera, and species tend to be restricted to either standing water bodies or to running water, both in the larval and in the more dispersive adult stage (see [22,24] and references therein).
To determine the role of niche breadth on range-size we used the number of different biomes that partly or completely overlap with the species ranges based on the biomes delineated by the World Wildlife Fund (http://www.worldwildlife.org/science/ecoregions/item1847.html). We discarded biomes that overlapped less than 1% of the species' range, to minimize the effects of uncertainty in range size calculations. To try to disentangle the effect of the range size per se from that of an increased ecological tolerance, we tested whether species that are found in larger biomes have larger ranges than species in smaller biogeographic units. If so, this would suggest that range size is a function of the available biogeographic space, rather than the number of biomes being a function of the size of the range. For that purpose we calculated the mean size of the biomes that partly or completely overlap with the species ranges .
We used a randomization procedure to test whether range attributes exhibit a significant tendency for related species to resemble each other according to the methodology proposed by Blomberg et al. . The basic idea is to ask whether a given tree (topology and branch lengths) better fits a set of tip data as compared with the fit obtained when the data have been randomly permuted across the tips of the tree, thus destroying any phylogenetic signal that may have existed . Thus, the degree of resemblance among relatives can be distinguished from random by comparing observed patterns of the variance of independent contrasts of the trait to a null model of shuffling taxa labels across the tips of the phylogeny.
To quantify the amount of phylogenetic signal we calculated the metric K, which compares the observed signal in a trait to the signal under a Brownian motion model of trait evolution on a phylogeny . The higher the K statistic, the more phylogenetic signal in a trait. K values of 1 correspond to a Brownian motion process, which implies some degree of phylogenetic signal. K values closer to zero correspond to a random or convergent pattern of evolution, while K values greater than 1 indicate strong phylogenetic signal. We used the R package 'Picante'  to compute K and the significance test.
We also used phylogenetic eigenvector regression (PVR; ) as an additional assessment of the phylogenetic signal in range properties and to correct for this signal in analysing the relationship between range-size and biogeographical variables (see below). The basic idea of PVR is to carry out a principal coordinate analysis of the matrix of pairwise phylogenetic distances between species and use the eigenvectors as predictors in a multiple regression against species traits (in this case, geographic range properties). The subset of eigenvectors to use as PVR components for each range attribute was obtained using a stepwise multiple regression . The R2 of the multiple regression model of the trait against the eigenvectors provides an estimate of the amount of phylogenetic signal in the data .
To assess if habitat occupation exhibited phylogenetic signal, habitat type was used as a qualitative (discretely-coded) character, and species were assigned to either of the three habitat type classes: lotic, lentic or both. In this case, phylogenetic signal was computed with Pagel's λ [16,18], a more appropriate approach for discrete traits. The value of λ varies from 0 to 1, where 0 corresponds with the complete absence of phylogenetic structure and 1 means that variation in the trait is perfectly correlated with phylogeny. We used the fitDiscrete function of the R package 'Geiger'  to obtain the maximum likelihood estimate of λ. In order to address whether significant phylogenetic signal existed in our datasets, we compared the negative log likelihood when there was no signal (i.e. using the tree transformed lambda = 0) to that when lambda was estimated using the original tree topology by using a likelihood ratio test.
We explored the association between range size and different biogeographical and ecological factors in a phylogenetic framework. We used the Phylogenetic Generalized Least Squares approach (PGLS; ) as implemented in Compare 4.6 b, which allows tests for correlations between two continuous traits and between a discrete independent variable and a continuous dependent variable . PGLS can be viewed as an extension of Felsenstein's independent contrasts method  that allows for flexibility in the underlying evolutionary assumptions. This flexibility is obtained through the use of a single parameter (alpha), which can be interpreted as a measure of evolutionary constraint acting on the phenotypes. When alpha is small, generalized least squares approximates Felsenstein's independent contrasts analysis, and when alpha is large, comparative data are less dependent on phylogeny and approximate a raw, nonphylogenetic correlation analysis. The Compare software computes the maximum likelihood estimate of alpha (from a range of different alphas), and provides parameter estimates given that maximum likelihood. To assess the significance of the relationship between traits we tested if the regression slope differed from zero. Since the correlation coefficient is directly related to the regression slope, if this differs significantly from zero, the correlation coefficient will too. For this, we used the corMartins function of the R package 'Ape'  with the estimated value of alpha to create the correlation structure, and then fitted the linear model with the gls function.
In order to examine the relationship between geographic range size and species age, plots of range size (log10 transformed) against species age (i.e. the estimated age of divergence between species) were produced for each group [29,31]. Statistical significance was determined using linear or quadratic regressions as appropriate according to an extra sum-of-squares F test.
A multiple regression analysis was used to determine the relative importance of the different variables, regressing the log-transformed range-size (response variable) upon the explanatory variables (range properties, species' age, niche breadth and habitat preference) and the phylogenetic PVR components. Habitat type was coded as a dummy variable (0, strictly lotic species; 1, species inhabiting lentic waters or both lentic and lotic waters).
Preliminary analyses showed that some subsets of the geographic properties of the range were often correlated. This was also corroborated by visual examination through Principal Component Analysis. Similarly, the average size of biomes and the number of biomes were usually highly correlated with maximum latitude or longitude. As a consequence, high levels of multicollinearity were detected, as indicated by high values of the Variance Inflation Factor . To avoid this multicollinearity, only maximum latitude and longitude (the main determinants of range-size as assessed by PGLS, and usually not correlated between them) were finally used as biogeographic factors. In those lineages in which both variables (maxLat and maxLon) were significantly correlated, only the main determinant of range size was used.
We used a stepwise model selection procedure to select the multiple linear regression models with the smallest Akaike's Information Criterion (AIC). To account for multiple comparisons we applied the Bonferroni correction.
Range size showed significant phylogenetic signal (as measured with a randomization test) in four of the ten lineages, displaying relatively low values of the K statistic (Table (Table2).2). However, no phylogenetic signal remained statistically significant for range size after Bonferroni correction. The maximum longitude and the longitude of centroid showed significant phylogenetic signal for most of the studied lineages (the exceptions were Ilybius, Enicocerus and Hydrochus, the former two encompassing few taxa) with values of K generally high, while minimum longitude, maximum latitude, and the latitude of centroid showed significant phylogenetic signal in four of the lineages. After Bonferroni correction, only some lineages showed significant phylogenetic signal, with maximum longitude displaying the higher number of significant cases.
The average size of biomes did not show phylogenetic signal in any lineage whereas niche breadth, as estimated by number of biomes overlapping with geographic range, displayed phylogenetic signal only for the H. dentipes and Graptodytes lineages. Three lineages did not exhibit phylogenetic signal for any of the range attributes: Ilybius, Enicocerus and Hydrochus.
The phylogenetic eigenvector regression (PVR) gave in general a stronger phylogenetic signal than the randomization tests. This was especially evident in Ilybius, for which PVR showed high levels of phylogenetic signal in contrast with non significant K values. Range-size showed moderate levels of phylogenetic signal, but some descriptors of the spatial position of ranges had higher levels (Table (Table3),3), which remained mostly significant after Bonferroni correction. Notably, a high fraction of the variance in the northern longitudinal limits and longitudinal centroids of the ranges in most lineages was explained by phylogenetic relationships among species. As happened with the randomization tests, the average size of biomes and the number of biomes were rarely correlated with phylogeny (Table (Table33).
Among the lineages with species with both habitat types (lotic and lentic), habitat type exhibited significant phylogenetic signal for Hydroporus, as computed with Pagel's λ (λ = 0.89, P < 0.01), but not for "Phothydraena" (λ < 0.00, P = 1.0), Graptodytes (λ < 0.00, P = 0.4) or Hydrochus (λ = 1, P = 0.3). Estimates of the phylogenetic signal with the K statistic gave similar results, with Hydroporus exhibiting significant signal (K = 0.63, P < 0.01) but not the remaining lineages (Phothydraena, K = 0.17, P = 0.9; Graptodytes, K = 0.15, P = 0.3; Hydrochus, K = 0.98, P = 0.1).
Range size was significantly and positively correlated with both the spatial extent and the number of biomes in which species are found in most of the tested lineages, as measured after phylogenetic correction with PGLS correlations (Table (Table4).4). Correlations remained significant after Bonferroni correction only in the case of the number of occupied biomes.
Habitat preference, taken as a surrogate of dispersal ability, was significantly and positively correlated with range-size after phylogenetic correction with PGLS in those lineages with both lotic and lentic species, with the only exception of Hydrochus (Table (Table4).4). Correlation values were particularly high for Phothydraena and Graptodytes, which remained significant after Bonferroni correction.
After phylogenetic correction, range size was significantly and positively correlated with maximum latitude and longitude for most of the lineages, with the only exceptions of Limnebius (marginally significant) and Phothydraena (Table (Table4;4; see also Figure Figure1).1). These positive correlations remained significant for maximum latitude after Bonferroni correction for multiple tests. Maximum latitude and longitude had also the highest correlation values for most of the lineages. The latitude and longitude of the centroid were correlated with the size of geographic range in four and five of the ten lineages respectively: Enicocerus, Hydraena dentipes, Graptodytes and Hydroporus, plus Ilybius in the case of latitude of the centroid (Table (Table4).4). Minimum longitude and latitude were only significantly correlated with range size in Ilybius and Hydrochus respectively, in both cases with a negative correlation (Table (Table4).4). Range size in Phothydraena was not significantly correlated with any of the range proprieties studied, although minimum latitude was marginally significant (Table (Table44).
The preferred model for the plot of global geographic range size against species age was in all cases a straight line, i.e. quadratic regression did not provide a significantly better fit to the data than did linear regression (Figure (Figure2;2; see also Additional file 2, Table S2). The general tendency was to increase range size with evolutionary age, but with the sole exception of the H. dentipes lineage (with a significant positive relationship) the values of the slopes of the lines that best predicted range-size from species age were not significantly different from zero (Additional file 1, Table S2), indicating a non significant increase or decline of range size with age.
We assessed the relative importance of the phylogenetic vs. ecological and geographic factors in determining the size of the geographical range through the use of multiple regression models. The percentage of variance explained was in general very high, ranging from ca. 60% to more than 98% (Table (Table55).
For most of the lineages, the maximum latitudinal limit of the geographic range was the most influential variable explaining range size (Table (Table5).5). The only exception was Phothydraena, for which we used minimum latitude in the model, according to the results of the PGLS analyses (see above).
Although phylogenetic effects had often less influence than biogeographic factors, they were usually retained in the models, and for some lineages were the most important (Ilybius, Limnebius and H. gracilis). Habitat preference was retained in the model for Phothydraena (in which was the main range-size determinant) and Graptodytes, but not in Hydroporus or Hydrochus, in which both biogeographic and phylogenetic factors were included in the model. Species' age was not retained in any of the models.
Range-size heritability has sparked an intense debate in the literature in the last years, although no clear conclusions have been drawn, partly because of the variability in the methods employed and the quality of the data used [12,13,67,68] (see  for a review). If geographic range sizes are determined by life-history, ecological or physiological characters, it may be expected to find some degree of phylogenetic signal through the cladogenetic process [7,70,71]. Evidence of low phylogenetic signal in range size has been reported in a number of previous studies for different taxonomic groups [14,16,25,29,72-74], the conclusion being that range size is an extremely labile trait. However, as showed by Pigot et al. , low phylogenetic signal cannot be taken as strong evidence for the lability of geographic ranges. In our case, both the randomization test  and the PVR method  showed some positive significant phylogenetic signal for several lineages. This phylogenetic signal was relatively weak when compared with other range properties, but still strong enough to be kept as a relevant factor in the multiple regression models (see below). The low taxonomic level of the studied phylogenies could contribute to the lack of significance in the randomization tests of phylogenetic signal for some of the groups , as well as the low number of species in some of them (computer simulations demonstrate that this test requires approximately 20 species to achieve a statistical power of 80%, ). Nevertheless, the values of the K statistic do not depend on sample size, and it is considered a valid descriptive statistic of the amount of phylogenetic signal even for small data sets . The PVR method has a good performance with small phylogenies , and in consequence our results from this approach could be more reliable.
The geographic location of the species had the strongest phylogenetic signal of all the variables tested. With the question of the heritability of the size of geographic ranges monopolizing all the attention in the literature, the role of phylogenetic constraints on other attributes of species' ranges, such as geographic position, have remained nearly unexplored (but see ). Our results show that, in general, the geographic position of species' ranges display a stronger phylogenetic signal than their size. This is what would be expected under a vicariant mode of speciation in which the ancestral range is split almost randomly (hence partly erasing the phylogenetic signal of range size), but the resulting species maintain the geographic centroid of their ranges through time, so that range movements do not erase completely the geographic signal of speciation. This would justify the use of the present distribution of species to infer speciation processes (e.g., [46,77]), contrary to the view that rapid changes to species geographic ranges effectively eliminate any relationship between the geography of speciation and contemporary locations of geographic ranges . In the case of water beetles, a review of the direct evidence provided by Quaternary remains also support a general pattern of range stability through the last Glacial cycle, contrary to the extended view of generalized major range shifts due to climatic change .
When biogeographic, phylogenetic and ecological factors were combined to explain range size differences, the northern limit of the geographic range was generally the main determinant of geographic range size. In a number of terrestrial groups range sizes are known to strongly increase with latitude in the Palearctic and Nearctic above 40°-50°N , in agreement with Rapoport's rule (see  for a review). In the Western Palearctic, widespread species tend to have a central and north European distribution, and among the water beetles in these areas there are few, if any, species with restricted distributions . In the same way, there are many examples of water beetle lineages including narrow endemics in which the widespread species have the southern limit of their ranges at the edge of the southern peninsulas.
The strong role of geographic location in determining range size can be grounded in different lines of argument. From an ecological perspective, latitudinal/longitudinal gradients can represent a particular case of the more general relationship between the niche breadth of a species and the size of its geographic range (e.g., [2,21,81-83]). Climatic changes and the drastic changes in ecological conditions were specially dramatic in northern latitudes of the Palearctic region, and might have operated as ecological filters , with only those species displaying broad ecological niches (and consequently wide ranges) being able to persist in northern regions or re-colonize northern areas from southern refugia after the glaciations. In the studied lineages, maximum latitude was usually highly correlated with niche breadth (Additional file 1, Table S3), showing that those species reaching more northern latitudes display broader ecological niches. Species with narrow niches would have remained restricted to southern areas, less affected by the climatic changes. This is valid also for longitude, with species reaching the more continental parts of Eurasia being more affected by climatic changes. The absence of fossil remains of southern species of aquatic Coleoptera among the abundant central and northern European Quaternary records  would support this view, as well as the recognition of the Mediterranean peninsulas as an area of endemism, not as a source of postglacial colonisation (e.g., ).
The Western Palearctic has strong ecological constraints in the south and the west (the seas and oceans), which might result in most species having a distribution centre towards the east or the north. The larger range size of the species with a more northern and eastern distribution could thus be the result of a geometric constraint. The species with the largest ranges necessarily include the largest available surfaces, i.e. from central Europe to the east. Any species expanding its range to cover the biogeographical area of the lineages included here will end up with a distribution centroid in the north-east, as species with large distributions approaching the size of a bounded domain are constrained to have their centroid near the centre of the domain . The general negative correlation between minimum latitude and range size (Table (Table2)2) is compatible with this geometric effect, showing that widespread species also expand their ranges to the south. But this geometric constraint cannot be the sole explanation for the patterns we found, as this would not explain the phylogenetic signal for both range size and geographical position. The strong positive relationship between maximum latitude and range size shows the asymmetry of the range expansions, with an origin in southern refugia, as also found for European land snails . A more uniform distribution of the ancestral ranges may result in a similar position of the final centroids of the species with expanding ranges, but not in a strong positive relationship between maximum latitude and range size.
Two additional biogeographic factors emerged as highly correlated with range size, the spatial extent and the number of biomes in which species are found. If species can expand their distribution more easily within than across biogeographic boundaries, then species found in biogeographic biomes with a large spatial extent should have larger range sizes than species found in small biomes ([26,88-90]; see [14,25] for examples of application in range-size analyses). The number of biomes can be related with niche breadth differences, since some species are restricted to one (or few) biomes due to habitat specificity while others are able to expand easily their distribution across biomes (Additional file 2), although in this case results are confounded by the unavoidable circularity of the relationship between range size and number of biomes. The heterogeneity of biomes is certainly not uniform over the whole continent, with more climatic and ecological variety in the south associated with the main mountain ranges and the influence of the Mediterranean.
Habitat type was also positively correlated with range-size in those lineages with both lotic and lentic species (the only exception was the genus Hydrochus), showing that in the same lineage, and after accounting for possible phylogenetic effects, species inhabiting lentic water bodies display larger distributional ranges than those inhabiting lotic ones, with species inhabiting both types of environments with intermediate range sizes. This is in agreement with previous studies across multiple lineages of freshwater invertebrates, which have shown that lotic species have on average smaller geographical ranges than the lentic species [22,23]. Although most of species included here are winged, there is no information about the flying capacity across species within each one of the lineages, so direct measures of dispersal ability are not available. The differences in spatial and temporal persistence between lotic and lentic habitats (small lentic water bodies tend to fill with sediment over a time period of decades or centuries, while rivers and streams persist over geologically defined time periods) have been postulated as resulting in consistent differences in dispersal strategies and colonization abilities between species living in both types of aquatic environments (see  for an overview), providing a surrogate measure of dispersal ability. Since colonization rates depend not only on dispersal abilities, but also on the geographic configuration of habitats, a potential confounding factor could be the differential distribution of suitable habitat between lotic and lentic environments (e.g., a contrasting degree of spatial clustering or a spatial correlation of habitat availability with latitude). Nevertheless, different recent studies have consistently provided evidence against differences in habitat availability, lending further support to the hypothesis that lentic species have a higher propensity for dispersal than lotic species [91-93]. Although dispersal abilities are among the more commonly cited potential determinants of a species' range (see e.g., ), this relation has rarely been assessed correcting for phylogeny.
We did not find evidence to support a clear pattern of range size change over time in water beetle lineages. The relationship between age vs. range-size plots suggested that species' time since divergence is positively correlated with geographic range size, in agreement with the "range and area" model , but the values of the slopes of the lines that best predicted range-size from species age were for most groups not significantly different from zero. Thus, our results are compatible with a "stasis"  or an idiosyncratic model, were there is no reason to expect a directional change in geographic range size through time. In any case, the amount of variance in geographic range size explained by phylogenetic age was generally low, as shown by r2 values. The lack of a general pattern of the changes in geographic range size over evolutionary time is a common result across a wide range of clades (e.g., [15,29,31,95]. The variability of the type and quality of data used and analyses performed has been viewed as a possible explanation for this lack of consistency [29,95], but our results, using different lineages and a common methodology and dataset, proved to be equally variable and clade-specific, pointing to a true lack of relationship between age and area, despite the uncertainties in the sampling and the delimitation of the ranges (see below).
Other factors not considered in this study may be of relevance in determining geographic range sizes, such as thermal tolerance, body size, population abundance or colonization and extinction dynamics . Similarly, we are aware that our analyses could be weakened by incomplete taxon sampling in some groups and uncertainties in the estimated geographic range sizes. Uncertainties associated to phylogenies are another possible source of error, as missing or extinct taxa would result in the overestimation of the phylogenetic age of the related species. Despite these obvious limitations, the consistency of the results and the high percentage of variance explained by the factors included (between ca. 60 and 98%, Table Table5)5) allows to draw firm conclusions applicable to a wide range of phylogenetically independent groups of Coleoptera.
Our findings show that range size of a species is shaped by an interplay of geographic and ecological factors, with a phylogenetic component affecting both of them. The understanding of the factors that determine the size and geographical location of the distributional range of species is fundamental to the study of the origin and assemblage of the current biota. Our results show that for this purpose the most relevant data may be the phylogenetic history of the species and its geographical location, in agreement with results from some previous studies (e.g. [14,25]).
Both authors designed and performed research, carried out data compilation and analyses, and participated in preparation of the manuscript. Both authors read and approved the final manuscript.
Data used in the study. Taxa included in the different studied lineages with data on geographic range properties and ecological attributes. Accession numbers of the sequences are also indicated.
Supplementary tables. Tables S1-S3.
Ultrametric trees for the different lineages. Numbers indicate node support: above nodes, Bayesian posterior probabilities (if above 0.5); below nodes, bootstrap support values from Maximum Likelihood analysis (if above 50%).
We would thank to M. Jäch, H. Fery, H.V. Shaverdo and A. Hidalgo for providing information on the distribution of some species. We thank also T. Barraclough, J.-C. Svenning and two anonymous reviewers for helpful comments on earlier versions of the manuscript. This research was supported by a postdoctoral fellowship from the Seneca Foundation (Regional Agency of Science and Technology, Murcia, Spain) to P.A. and projects CGL2007-61665 and CGL2010-15755 to I.R.