Ecography 33: 678687, 2010 doi: 10.1111/j.1600-0587.2009.05958.x # 2010 The Author. Journal compilation # 2010 Ecography Subject Editor: Helmut Hillebrand. Accepted 14 September 2009 Patterns of functional and taxonomic organization of stream fishes: inferences based on a, b, and g diversities Christopher L. Higgins C. L. Higgins ([email protected]), Dept of Biological Sciences, Tarleton State Univ., Stephenville, TX 76402, USA. The primary objective of this study was to determine whether total biodiversity (g) is partitioned into within-community (a) and among-community (b) components differently for taxonomic and functional organization. I hypothesized that a diversity will contribute more to the functional organization of g diversity and that b diversity will contribute more to the taxonomic organization of g diversity. A secondary objective was to determine whether the relationship between taxonomic and functional diversity is scale dependent. Species abundance data was obtained from fisheries surveys conducted by the Texas Parks and Wildlife Dept that focused on least disturbed streams from 11 different ecoregions of Texas, including 62 localities from 18 drainages. Functional and taxonomic organization of assemblages was quantified with two different measures of biodiversity, including richness and the numbers equivalent of Shannon diversity. Scaledependent effects on these indices were assessed by multiplicatively partitioning g into a and b components. The contribution of a and b components to g diversity differed between functional and taxonomic organization and among different measures of biodiversity. Among-community components were more influential in structuring the taxonomic organization of stream-fish assemblages, whereas within-community components were more important in structuring the functional organization of assemblages. The relationship between taxonomic and functional diversity differed between a and b components and between spatial scales. Indeed, ecological patterns not only change with spatial scale, but how they change is dependent on which aspect of biodiversity is considered. Ecologists increasingly recognize that local communities (i.e. communities sampled at a small spatial extent) are structured by a combination of historic, regional, and local factors operating at different spatial scales (Ricklefs 1987, Poff 1997, Whittaker et al. 2001, Stevens and Willig 2002, Hoeinghaus et al. 2007). At larger spatial scales, historic (e.g. speciation and dispersal) and regional (e.g. geology and climate) factors determine the composition of available species from which local communities are assembled. Local factors, whether they are biotic interactions or abiotic constraints, often dictate which of the species from the regional pool will occupy a particular community and in what abundance. Of course, regional factors can interact with local factors altering the degree to which biotic or abiotic determinants influence local community structure and producing different patterns of biodiversity at different spatial scales (Huston 1999). This understanding has led ecologists to incorporate multiple spatial scales in their assessment of patterns and processes associated with biodiversity. Patterns of biodiversity at larger spatial scales (g) are a combination of within-community (a) and amongcommunity (b) components (Whittaker 1960, Lande 1996, Crist et al. 2003, Jost 2007). In certain systems, patterns of g diversity are primarily a result of a diversity in 678 which case there is little turnover in composition or abundance among communities (Gering and Crist 2002, Cornell et al. 2007, Pegg and Taylor 2007). In other systems, patterns of g diversity are primarily driven by b diversity (Stendera and Johnson 2005, Eros 2007, Belmaker et al. 2008), especially at larger spatial scales that incorporate more environmental heterogeneity (Freestone and Inouye 2006). Of course, how individuals respond to environmental differences among locations will influence the degree to which a and b contribute to g diversity. In this regard, different aspects of biodiversity (e.g. taxonomic and functional) may respond differently to existing environmental variation, altering the degree to which we ascribe local or regional determinants of biodiversity; however, most studies that assess the hierarchical nature of biodiversity by partitioning g into a and b components only do so from a taxonomic perspective, ignoring the functional organization of biodiversity. The functional organization of biodiversity is becoming an increasingly important topic. First, functional organization characterizes different aspects of community structure than taxonomic organization (Hoeinghaus et al. 2007, Higgins and Strauss 2008). Second, functional characteristics allow comparisons to be made among broad geographic regions where communities comprise different taxa (Simberloff and Dayan 1991). For example, Lamouroux et al. (2002) observed intercontinental convergence in functional traits related to hydraulics and geomorphology despite phylogenetic and historical differences in fish assemblages. Third, functional characteristics provide a means of testing theoretical expectations of changes in species traits along environmental gradients, such as those generated from habitat templates (Southwood 1977), the river continuum concept (Vannote et al. 1980), and landscape filters (Poff 1997). For example, habitat templates predict changes in reproductive traits with habitat stability, such as increasing parental care with decreased variability (Townsend and Hildrew 1994). Of course, the specific functional characteristics analyzed in a study will depend on the hypotheses being tested. The primary objective of this study was to determine whether total biodiversity (g) is partitioned into a and b components differently for taxonomic and functional organization. I hypothesized that a diversity would contribute more to the functional organization of g diversity and that b diversity would contribute more to the taxonomic organization of g diversity. This hypothesis stems from recent findings that functional groups divide niche space more evenly than do species, especially at larger spatial scales; this suggest that certain functional groups may always be present in an assemblage, regardless of geographic location of that assemblage, implying low turnover (i.e. b diversity) in functional groups among locations (Higgins and Strauss 2008). A subset of this objective was to ascertain which environmental variables help drive patterns of a and b diversity. A secondary objective was to determine whether the relationship between taxonomic and functional diversity is scale dependent. Methods Data I obtained data from fisheries surveys conducted by the Texas Parks and Wildlife Dept (Linam et al. 2002). The surveys focused on least disturbed streams of 11 different ecoregions of Texas, including 62 localities from 18 drainages. Biologists from Texas Parks and Wildlife sampled fish assemblages using seines (100% of sites), backpack electrofishing (81% of sites), and boat electrofishing (8% of sites) with gear choice depending on environmental characteristics such as flow regimes, water chemistry, and habitat availability. The mean number of seine (4.6 by 1.8 m, 4.8 mm mesh) hauls at sites where electrofishing also occurred was 7.4 with a mean stream reach of 61 m and the mean duration of shocking was 13 min. At sites where only seines were used to collect fishes, the mean number of seine hauls was 8.0 with a mean stream reach of 74 m. Although the desired number of seine hauls was 6 and total shocking time was 15 min, they sampled each locality until species accumulation peaked and sampled all habitats within a locality in relative proportion to their abundance. Although this sampling scheme may underestimate within-community (a) components and overestimate among-community (b) components of diversity, it is the standard collection protocol described by the Texas Natural Resource Conservation Commission (TNRCC 2007). They sampled streams during the summer months (June through September) from 1988 through 1990. Easily identified fish were enumerated and released in the field, and the remaining fishes were preserved in 10% formalin and transported to the lab where positive identification took place. Data also included a description of the sampling site, latitude and longitude, size of drainage basin (km2), stream discharge (m3 s1), and abundance of fish species at each site. Formation of functional groups I characterized the functional organization of stream-fish assemblages with the same classification scheme used by Hoeinghaus et al. (2007) in their assessment of local versus regional determinants of taxonomic and functional organization of stream-fish assemblages. This scheme characterizes different aspects of assemblage structure than taxonomic organization by distinguishing among groups of fishes with similar ecological niches and population dynamics (Hoeinghaus et al. 2007). In addition, lifehistory strategies are strongly associated with hydrodynamic forces (Blanck et al. 2007), which should vary with geographic location. The specific functional groups used in this study were piscivore-equilibrium (p-e), piscivore-equilibrium/periodic (p-ep), piscivore-periodic (p-p), piscivore-opportunistic/equilibrium (p-oe), omnivore-opportunistic (o-o), omnivore-opportunistic/periodic (o-op), omnivore-periodic (o-p), omnivore-equilibrium/ periodic (o-ep), omnivore-equilibrium (o-e), invertivoreequilibrium (i-e), invertivore-opportunistic/equilibrium (i-oe), invertivore-opportunistic (i-o), invertivore-opportunistic/periodic (i-op), invertivore-periodic (i-p), herbivoreperiodic (h-p). Following Hoeinghaus et al. (2007), all individuals of each species were classified into only one functional group. In addition, regional factors often promote endemism, which is primarily a result of dispersal limitation, speciation, and abiotic differences among locations. For the remaining species, I used the trophic classification provided in Linam and Kleinsasser (1998), and information provided in Winemiller (1992) and Winemiller and Rose (1992) for life-history strategies. One additional functional group emerged that was not included in Hoeinghaus (2007). It consisted of the fathead minnow Pimephales promelas, which was classified as an omnivore with an opportunistic/periodic life history. Quantification of biodiversity For each locality, I estimated two ecological indices of assemblage structure, including richness (R) and Shannon diversity (D) because they characterize different aspects of community structure. Before estimating richness and diversity, I converted each absolute abundance distribution into a relative abundance distribution. I estimated richness using the following equation: R axi1 p0i, where x is the number of species within a site and p is the relative abundance of that species. I estimated Shannon diversity using the following equation: D exp [axi1 pi ln(pi )], 679 where x is the number of species within a site and p is the relative abundance of that species. Both species richness and species diversity are expressed as their own numbers equivalent, which should estimate the ‘‘true’’ diversity of an assemblage (Jost 2006). All calculations were conducted using MATLAB v 6.0 software (Mathworks 1997). Because multiple measures and different aspects of biodiversity were incorporated into this study, I will use species richness (SR) and species diversity (SD) as measures of taxonomic organization of biodiversity. I will use functional richness (FR) and functional diversity (FD) to characterize various aspects of the functional organization of biodiversity. Partitioning of biodiversity Following Whittaker (1960) and Jost (2006, 2007), I assessed scale-dependent effects of biodiversity by partitioning total biodiversity (g) into within (a) and among (b) components using a multiplicative decomposition such that g ab. I utilized three different spatial scales in this study. The smallest spatial scale consisted of individual assemblages at the locality or site level. The intermediate spatial scale consisted of pooled assemblages within a river basin. The largest spatial scale consisted of a single, pooled assemblage across the entire sampling region. This design allowed g diversity to be decomposed into within sites (asites), among sites (bsites), within river basins (abasins), and among river basins (bbasins) components. I estimated SRa-sites by calculating the unweighted mean (i.e. each site contributes equally to asites) number of species collected 1 across all 62 sites; SRa-sites /axi1 S, where x is the number x of sites and S is species richness for a given site. I estimated SDa-sites by taking the exponent of the unweighted mean species diversity across all 62 sites; 1 SDa-sites exp (axi1 H), where x is the number of sites x and H is the traditional estimate of Shannon diversity for a given site. To estimate abasins, I first estimated the mean relative abundance of each species across all sites within a river basin to create a basin-wide relative abundance distribution then calculated the unweighted average across all 18 basins. I chose unweighted averages, as opposed to weighted averages, because only then can beta diversity be interpreted as a measure of inter-sample compositional differentiation (Jost 2007). To estimate g, I estimated the mean relative abundance distribution for the entire sampling region then estimated each measure of biodiversity using standard procedures described above. I estimated bsites by dividing abasins by asites and estimated bbasins by dividing g by abasins. All of these calculations were consistent with methodology provided in Jost (2006, 2007). All calculations were conducted using MATLAB v 6.0 software (Mathworks 1997). To determine whether observed patterns differed from those resulting from random processes, I conducted three different sets of simulations, one for each spatial scale included in this study. The first set of simulations focused on the site extent. For each of the 62 sites, I randomly sampled individuals, with replacement, from the empirical 680 abundance distribution for that site, constraining the number of individuals at each site to equal observed values. This null model assumes individuals within a site are not capable of colonizing other sites within the river basin (i.e. local factors are primarily responsible for structuring local communities). The second set of simulations focused on the river basin extent. For each of the 62 sites, I randomly sampled individuals, with replacement, from the pooled abundance distribution that contained all individuals from each site within a particular basin, constraining the number of individuals at each site to equal observed values. This null model assumes individuals within a river basin are capable of colonizing any site within that basin, which combines local and regional determinants of community structure. The third set of simulations focused on the entire sampling region. For each of the 62 localities, I randomly sampled individuals, with replacement, from a pooled abundance distribution that contained all individuals from each species regardless of which river basin it was observed in. This null model assumes individuals are capable of colonizing any site within the entire sampling area regardless if they are connected by waterways. This particular null model corresponds to the first null hypothesis in Crist et al. (2003). For each of these null models, I conducted 1000 iterations to generate 95% confidence intervals around the individual point estimates, which were based on the observed data matrix and did not vary among null models. All simulations were conducted using MATLAB v 6.0 software (Mathworks 1997). Relationship between taxonomic and functional diversity I conducted a series of linear regressions to assess the relationship between taxonomic and functional organization of stream-fish assemblages at two different spatial scales. The first series of analyses were conducted at the site sampling extent and required regressing a and b components of functional organization, both richness and Shannon diversity, onto a and b components of taxonomic organization. The second series of analyses were conducted at the basin sampling extent. For each analysis, I obtained 95% confidence intervals around the point estimates for the slope and y-intercept to determine whether the equations for the best-fit lines differed between the two spatial scales (i.e. scale dependent). All regression analysis were conducted using SPSS v16 software (SPSS 2007). Results General patterns of biodiversity A total of 30 492 individuals representing 97 species were collected across the entire sampling region. The three most abundant species were western mosquitofish (Gambusia affinis, 27.3% of all individuals), red shiner (Cyprinella lutrensis, 20.0% of all individuals), and blacktail shiner (Cyprinella venusta, 10.5% of all individuals). In addition to being abundant, these species were some of the most widely distributed as well. In fact, the only other species with as broad a distribution were the longear sunfish Lepomis megalotis, green sunfish Lepomis cyanellus, bluegill sunfish Lepomis macrochirus, and largemouth bass Micropterus salmoides. All of these species were native to Texas. In fact, only five species were non-native based on Hubbs et al. (1991), which suggest patterns of taxonomic diversity were largely driven by native species. The 97 species comprised 15 functional groups. The most abundant functional group was the invertivores with the opportunistic/periodic lifehistory (43.2%), which consisted mostly of shiners (Cyprinella and Notropis). This functional group was followed by invertivores with an opportunistic life history (32.5%), which consisted entirely of western mosquitofish, and invertivores with an equilibrium life history (6.8%), which primarily consisted of bluegill and longear sunfish. Partitioning of biodiversity The average number of species collected within a site (asites) was 13.66, regardless of geographic location; average species diversity within a site was 4.55 (Table 1). Both of these estimates were significantly higher than expected by chance based on the site null model, but were significantly lower than expected based on the basin and state null models. Relative to g richness and g diversity, asites components contributed to 14 and 22% of the overall taxonomic organization, respectively. Species richness and species diversity at the asites level were significantly correlated with elevation and longitude but were not significantly correlated with size of the drainage area, stream discharge, or latitude (Table 2). In other words, taxonomic diversity increased in eastern portions of the sampling region and at lower elevations. Turnover in species richness among sites (SRb-sites) was also correlated with elevation and longitude, and turnover in species diversity among sites (SDb-sites) was correlated with elevation, longitude, and stream discharge (Table 3). The average number of functional groups collected within a site (asites) was 7.73, regardless of geographic location; average functional diversity within a site was 3.10 (Table 1). Relative to g richness and g diversity, asites components contributed to 52 and 57% of the overall functional organization, respectively. Functional richness at the asites level was significantly correlated with elevation and longitude; functional diversity was significantly correlated with drainage area and longitude (Table 2). Turnover in functional richness among sites (FSb-sites) was correlated with elevation and longitude, whereas turnover in species diversity among sites (FHb-sites) was correlated with elevation, longitude, and stream discharge (Table 3). Hence, taxonomic and functional organizations were similarly influenced by environmental factors. The average number of species collected within a river basin (abasins) was 23.00, which was significantly higher than expected by chance based on the site null model and significantly lower than expected based on the basin and state null models. Average species diversity within a basin was 6.07; this component did not differ from random expectations based on the site null model, but was significantly lower than expected based on the basin and state null models. Relative to g richness and g diversity, abasins components contributed to 24 and 30% of the overall taxonomic organization, respectively. The number of species collected within a river basin was positively correlated with basin area (r 0.577, p0.012) but species diversity was not (r 0.339, p0.168). The average number of functional groups collected within a river basin was 9.56, and the average functional diversity was 3.30. Relative to g richness and g diversity, abasins components contributed to 64 and 61% of the overall functional organization, respectively. Functional richness and functional diversity within a river basin were significantly correlated with basin area (r 0.816, p B0.001 and r 0.624, p 0.006, respectively). The effective number of distinct communities within the entire sampling region (bbasins) was 4.22 based on species richness and only 1.57 based on functional richness; a similar trend was observed with species diversity (SDb-basins 3.37) and functional diversity (FDb-basins 1.65), although the difference was not as large. In other words, bbasins components contributed to 76% (SR) and 70% (SD) of the taxonomic organization at the state level, whereas bbasins components only accounted for 36% (FR) and 39% (FD) of the functional organization. Table 1. Estimates of alpha, beta, and gamma diversities for the taxonomic and functional organization of stream-fish assemblages. Lower and upper 95% confidence intervals are provided in parentheses. Null model Diversity component Taxonomic R Functional D R D Site level asites bsites abasins bbasins g 13.66 1.68 23.00 4.22 97.00 (12.10, 12.58) (1.69, 1.75) (20.72, 21.72) (4.30, 4.57) (91.00, 97.00) 4.55 1.33 6.07 3.37 20.47 (4.36, 4.51) (1.32, 1.37) (5.81, 6.10) (3.36, 3.50) (20.00, 20.82) 7.73 1.24 9.56 1.57 15.00 (7.06, 7.37) (1.23, 1.29) (8.83, 9.33) (1.61, 1.70) (15.00, 15.00) 3.10 1.06 3.30 1.65 5.44 (3.01, (1.05, (3.20, (1.63, (5.34, 3.11) 1.09) 3.35) 1.69) 5.53) Basin level asites bsites abasins bbasins g 13.66 1.68 23.00 4.22 97.00 (27.66, 28.55) (1.66, 1.72) (46.89, 48.06) (2.02, 2.07) (97.00, 97.00) 4.55 1.33 6.07 3.37 20.47 (9.86, 10.19) (1.63, 1.66) (16.16, 16.82) (1.54, 1.61) (25.53, 26.50) 7.73 1.24 9.56 1.57 15.00 (10.05, 10.48) (1.12, 1.16) (11.50, 11.89) (1.26, 1.30) (15.00, 15.00) 3.10 1.06 3.30 1.65 5.44 (4.37, (1.30, (5.74, (1.07, (6.23, 4.50) 1.33) 5.91) 1.10) 6.43) State level asites bsites abasins bbasins g 13.66 1.68 23.00 4.22 97.00 (39.68, 41.24) (1.29, 1.35) (52.17, 54.94) (1.69, 1.82) (91.00, 97.00) 4.55 1.33 6.07 3.37 20.47 (12.87, 13.44) (1.02, 1.06) (13.32, 14.14) (1.05, 1.09) (14.41, 15.08) 7.73 1.24 9.56 1.57 15.00 (11.90, 12.40) (1.05, 1.11) (12.72, 13.50) (1.11, 1.18) (15.00, 15.00) 3.10 1.06 3.30 1.65 5.44 (4.56, (1.00, (4.57, (1.00, (4.67, 4.72) 1.03) 4.78) 1.03) 4.83) 681 Table 2. Correlation coefficients (r) and associated significance values (p) between pairwise combinations of environmental variables and estimates of biodiversity at the asites level. Environmental variable Discharge Drainage area Elevation Latitude Longitude Species richness Species diversity Functional richness r p r p r 0.232 0.082 0.585 0.154 0.666 0.077 0.528 B0.001 0.231 B0.001 0.161 0.126 0.364 0.077 0.524 0.222 0.330 0.004 0.551 B0.001 0.017 0.036 0.537 0.219 0.479 Relationships between taxonomic and functional diversity Within-community (a) and among-community (b) components of functional organization were significantly correlated with a components of taxonomic organization, whether at the site or basin levels (Fig. 1); a components of functional organization increased and b components decreased as species richness and species diversity increased. In fact, the same regression line could be used to describe the relationships between FRa-sites and SRa-sites, and FRa-basins and SRa-basins and between FDa-sites and SDa-sites, and FDa-basins and SDa-basins (Table 4). This suggests that the relationship between functional organization and taxonomic organization was not scale dependent, at least for the within-community components. Amongcommunity components, however, were scale dependent because the regression lines were not the same. Within-community (a) components of functional organization were significantly and negatively correlated with b components of taxonomic organization at the basin level, but not the site level (Fig. 2). Among-community (b) components of functional organization were significantly and positively correlated with b components of taxonomic organization at both the site and basin levels; the same regression line could not be used for different measure of biodiversity or at different spatial extents (Table 4). Scale dependence was most definitely a factor in the relationship between functional organization and turnover in taxonomic organization. Discussion Partitioning of biodiversity Taxonomic organization Taxonomic organization at the largest spatial scale was primarily driven by turnover among river basins. Several factors potentially contributed to observed patterns, includ- Functional diversity p 0.897 0.779 B0.001 0.087 B0.001 r p 0.094 0.278 0.215 0.078 0.292 0.480 0.029 0.093 0.545 0.021 ing the sampling scheme utilized by the Texas Parks and Wildlife, the relative influence of local and regional factors in structuring fish assemblages, differences in area among the river basins, and the degree of endemic fishes within a river basin. The sampling scheme employed by the Texas Parks and Wildlife likely underestimated within-community components of richness, especially at the site sample extent. For example, Bonner et al. (2005) assess assemblage structure at Independence Creek in Texas and collected 23 species across seven different sites along the river. This estimate differed dramatically from data reported by Texas Parks and Wildlife, which estimated species richness to be 12 (based on a single locality) in this river. If this discrepancy was consistent across the entire sampling region, each estimate of a diversity within a site would be equally affected. In this case, estimates of biodiversity at the river basin extent and state extent would also be underestimated. In fact, the total number of species collected across the entire sampling region was 97, which was much lower than the 161 species included in the recent field guide on freshwater fishes of Texas (Thomas et al. 2007). If you compare the relative nature of these estimates, however, little differences emerge (23/16114%, and 12/97 12%). Therefore, I doubt the sampling scheme is responsible for observed differences in spatial configuration between taxonomic and functional organization. A more likely explanation is that regional factors contributed more to the taxonomic organization of stream-fish assemblages than local determinants. Previous studies examining the influence of local and regional factors structuring taxonomic organization of stream-fish assemblages (Angermeier and Winston 1998, Hoeinghaus et al. 2007) also suggested regional factors were more important than local determinants. Angermeier and Winston (1998) examined local and regional influences on taxonomic organization of stream-fish assemblages in Virginia, and Hoeinghaus et al. (2007) examined them in Texas. Both studies suggested, among other things, that regional factors Table 3. Correlation coefficients (r) and associated significance values (p) between pairwise combinations of environmental variables and estimates of biodiversity at the bsites level. Environmental variable Discharge Drainage area Elevation Latitude Longitude 682 Species richness Species diversity Functional richness Functional diversity r p r p r p r p 0.035 0.196 0.370 0.008 0.431 0.788 0.126 0.003 0.948 B0.001 0.275 0.168 0.358 0.123 0.433 0.031 0.193 0.004 0.342 B0.001 0.206 0.083 0.526 0.043 0.590 0.109 0.519 B0.001 0.737 B0.001 0.489 0.248 0.307 0.107 0.375 B0.001 0.052 0.015 0.409 0.003 7 Functional diversity (site level) Functional richness (site level) 12 10 8 6 4 2 0 5 4 3 2 1 0 5 10 15 20 Species richness ( 25 0 2 4 6 8 10 Species diversity ( sites) 12 14 16 18 sites) 6 Functional diversity (basin level) 16 Functional richness (basin level) 6 14 12 10 8 6 4 2 5 4 3 2 1 0 0 10 20 30 Species richness ( 0 40 5 10 Species diversity ( basins) 15 20 basins) Figure 1. Relationships between within-community components of taxonomic organization and functional organization at two different spatial scales for measures of richness and diversity. Closed circles and solid lines represent average within-community (a) components, and open circles and dashed lines represent average among-community (b) components. has been shown to affect the degree to which a and b affect g diversities (Freestone and Inouye 2006). In addition, regional factors often result in different river basins containing endemic species not found in other geographic areas, which is primarily a result of dispersal limitation, speciation, and abiotic differences among locations. Many of the rare species included in this study, which largely consist of minnows and darters, are restricted in their geographic distribution (Thomas et al. 2007). In any case, (e.g. temperature extremes, stream order, and precipitation gradients) were better predictors of local taxonomic organization than were local factors. Of course, the observed patterns could have resulted from differences in the geographic area encompassed by the different river basins, which in my study ranged from 977 to 49411 square miles. Larger river basins typically contain more environmental heterogeneity than smaller river basins, which leads to increased species richness; environmental heterogeneity Table 4. Results from regression analysis for relationships between taxonomic and functional organization of stream-fish assemblages at multiple spatial scales. Variables Regression results Dependent R2 F p SRa-sites SRa-sites SRa-basins SRa-basins FRa-sites FRb-sites FRa-basins FRb-basins 0.431 0.322 0.715 0.681 45.38 28.55 40.12 34.17 B0.001 B0.001 B0.001 B0.001 5.258 2.103 5.951 2.230 (4.475, (1.871, (4.665, (1.943, 6.042) 2.336) 7.298) 2.466) 0.181 0.042 0.157 0.025 (0.127, 0.234) (0.058, 0.022) (0.104, 0.209) (0.045, 0.016) SDa-sites SDa-sites SDa-basins SDa-basins FDa-sites FDb-sites FDa-basins FDb-basins 0.523 0.128 0.842 0.735 65.91 8.84 85.45 44.41 B0.001 0.004 B0.001 B0.001 1.960 1.781 1.792 2.617 (1.588, (1.512, (1.306, (2.291, 2.333) 2.051) 2.279) 2.943) 0.249 0.066 0.221 0.107 (0.187, 0.310) (0.110, 0.022) (0.170, 0.271) (0.140, 0.073) SRb-sites SRb-sites SRb-basins SRb-basins FRa-sites FRb-sites FRa-basins FRb-basins 0.056 0.676 0.642 0.737 3.55 125.46 28.73 44.91 0.064 B0.001 B0.001 B0.001 8.431 0.855 12.888 1.051 (7.601, 9.262) (0.723, 0.987) (11.409, 14.307) (0.840, 1.202) 0.281 0.266 0.604 0.108 (0.580, 0.017) (0.219, 0.314) (0.843, 0.365) (0.074, 0.142) SDb-sites SDb-sites SDb-basins SDb-basins FDa-sites FDb-sites FDa-basins FDb-basins 0.059 0.706 0.747 0.866 3.75 144.42 47.34 103.51 0.057 B0.001 B0.001 B0.001 3.715 0.610 5.115 0.856 (3.168, (0.452, (4.518, (0.672, 0.209 0.357 0.354 0.147 (0.424, 0.007) (0.323, 0.452) (0.463, 0.245) (0.156, 0.238) Independent B0 B1 4.243) 0.768) 5.712) 1.121) 683 6 Functional diversity (site level) Functional richness (site level) 12 10 8 6 4 2 0 4 3 2 1 0 0 2 4 Species richness ( 6 0 2 sites) 4 6 Species diversity ( 16 8 sites) 6 Functional diversity (basin level) Functional richness (basin level) 5 14 12 10 8 6 4 2 0 5 4 3 2 1 0 0 2 4 6 8 Species richness ( 10 12 14 basins) 0 2 4 6 8 Species diversity ( 10 12 14 basins) Figure 2. Relationships between among-community components of taxonomic organization and functional organization at two different spatial scales for measures of richness and diversity. Closed circles and solid lines represent average within-community (a) components, and open circles and dashed lines represent average among-community (b) components. regional factors have been shown to be very important to the overall structure of stream-fish assemblages, especially at larger spatial scales. Recently, Pegg and Taylor (2007) used additive partitioning to examine spatial configuration of the taxonomic organization of stream-fish assemblages in the Missouri and Illinois rivers of central United States. Unlike my study, however, they concluded that a components contributed more to g diversity than b components. The discrepancies between the two studies were most likely an issue of spatial scale, although differences between additive and multiplicative partitioning may also account for part of the discrepancy because additive partitioning underestimates the degree of community differentiation. Pegg and Taylor (2007) considered the largest spatial scale to encompass a single river basin; whereas I considered the largest spatial scale to encompass multiple river basins. If I would have considered a river basin to be the largest spatial scale, then a components would have contributed more to g diversity than b components. Together, both studies indicate that average within-site components greatly contribute to the patterns observed within a river basin, but my results extend this pattern to include among-river basin components as well. These differences emphasize the importance of defining spatial extents of a study, especially when examining the hierarchical nature of patterns of biodiversity (Crist et al. 2003, Cornell et al. 2007). Functional organization Functional organization at the largest spatial scale was primarily a result of within-community components in 684 which there was virtually no turnover among sites within a river basin and relatively little turnover among river basins. The lack of among-site and among-basin contributions to functional organization appears to be at odds with ecological theory, which suggests that functional attributes of species should change with differences in environmental conditions that exists along gradients from headwaters to downstream reaches (Vannote et al. 1980). However, a close examination of the sampling scheme employed by the Texas Parks and Wildlife Dept revealed that 14 of the 18 river basins were represented by four or fewer sampling localities, which may not have adequately spanned an ecologically meaningful environmental gradient. If these data were removed and the analyses repeated, among-site components (bsites) would have contributed to 34% of overall functional richness (FRg) and 34% of functional diversity (FDg). These proportions would be, in fact, consistent with ecological theory. Despite the increased contribution of bsites components after removing 36 of the original 62 sites, the main conclusions of this study remained unchanged; the largest component of taxonomic organization resulted from differences among river basins (SRb-basins 49% of SRg) or differences among sites within a river basin (SDb-sites 45% of SDg), whereas the majority of functional organization was contained within the average site (FRa-sites 53% of FRg and FDa-sites 57% of FDg). In fact, not only did this pattern hold when half the data points were removed but it held for other classification schemes as well, such as those that focused on ecosystem function, or when ecoregions were considered rather than river basins (Higgins unpubl.). Despite the relatively small contribution of b components to g diversity, certain regional factors may help structure the functional organization of stream-fish assemblages. For example, the average among-community (bsites) contribution to g diversity might arise from in-stream repetition of riffle, run, pool sequences or increases in stream size along headwater to downstream gradients (Poff and Allan 1995, Goldstein and Meador 2004). These factors, especially in concert with flow regimes and energy input, are known to produce a consistent pattern of structure along a river (Vannote et al. 1980, Schlosser 1982, Matthews 1986, Pires et al. 1999, Hoeinghaus et al. 2003). Average among-basin (bbasins) contributions might arise from abiotic gradients in temperature and precipitation (Hoeinghaus et al. 2007) or as my study indicated the total area incorporated by the river basin. Of course, area itself is probably not the structuring factor; rather, larger areas encompass greater environmental heterogeneity, which has been shown to shape scale-dependent patterns of biodiversity (Freestone and Inouye 2006). Based on the large contribution of a to the functional organization of g diversity, I would argue the majority of structuring factors operate at the local scale. These variables might include conductivity, dissolved oxygen, or even substrate availability (Hoeinghaus et al. 2007) or may relate more generally to environmental stability, productivity, and habitat diversity within a locality (Schlosser 1987). In any case, the resulting organization of stream-fish diversity, at least based on functional attributes, was relatively consistent across locations. In terms of trophic ecology invertivores were present at 100% of the sampling localities, piscivores were present at 98%, omnivores were present at 90%, and herbivores were present at 34%. This consistency suggests trophic dynamics play a large role in structuring the functional organization of stream-fish assemblages. Each life-history strategy was found in at least 61% of all sampling localities (opportunistic/equilibrium), with the most widespread life-history strategies being equilibrium (98% of all localities) and opportunistic/periodic (98% of all localities). Hence, not only are trophic dynamics important in structuring fish assemblages, but each assemblage contains fishes with various life-history strategies, regardless of geographic location. Relationship between taxonomic and functional diversity The relationship between taxonomic and functional diversity was dependent on whether within-community (a) or among-community (b) components were considered and on the spatial extent used to sample the communities. Within-community components of functional richness increased as the number of species within an area increased, but the rates of increase was less than one functional group for every five species at both the site and basin extents. In fact, the relationships between taxonomic richness and functional richness and between taxonomic diversity and functional diversity were identical at the site extent and the basin extent, indicating that these relationships were not scale dependent. Among-community components of functional organization, however, were scale dependent. The rate or turnover among functional groups as a function of increased taxonomic richness and diversity within a community were greater at the site extent than at the basin extent. This suggest that more speciose sites, which typically occur in downstream reaches with increased environmental heterogeneity, contain most of the functional groups available within that region within little turnover in functional groups among river basins. This is in part due to the fact that most species were functionally redundant, or at least they shared similar ecological niches and exhibited similar population dynamics. Functional redundancy is a characteristic of species within an ecosystem where certain species contribute in equivalent ways to an ecosystem function (functional effect traits) or where certain traits of a species respond similarly to environmental changes (functional response traits) such that one species may substitute for another (Hooper et al. 2005). Many studies use taxonomic diversity as a surrogate for functional diversity. From a bottom-up approach, the concepts of niche differentiation and limiting similarity suggest that the functional traits of species must differ at some point. This implies that functional richness should increase as taxonomic richness increases, especially if functional richness broadens the range of functional traits present within an ecosystem (Schmid et al. 2002). Although this relationship would result in a positive correlation between functional and taxonomic diversity (Fig. 1, 2), taxonomic diversity should not be an adequate surrogate for functional diversity unless there is a linear increase in niche space coverage with increased species richness (Diaz and Cabido 2001). Diaz and Cabido (2001) discussed only two possible ways in which this could happen: the first involving the random occupation of niche space, and the second requiring the niche space to be uniformly occupied. The stream-fish assemblages used in this study are neither randomly nor uniformly distributed in niche space (Higgins and Strauss 2008). Consequently, taxonomic diversity should not be used as a surrogate for functional diversity of stream-fish assemblages, despite correlations between the two aspects of biodiversity. Conclusion The results of this study are some of the first to document differences in the hierarchical nature of patterns of biodiversity based on taxonomic and functional organization. In my analysis of data from Texas stream-fish assemblages, the degree to which a and b components contributed to g diversity was dependent on which aspect of biodiversity was considered. Among-community components were more influential in structuring the taxonomic organization of stream-fish assemblages, whereas within-community components were more important in structuring the functional organization of assemblages. Although the two aspects of biodiversity are related, they actually characterize different aspects of assemblage structure and provide complementary insight into the overall understanding of biodiversity. 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