Stephen J Jacquemin1, Jason C Doll2. 1. Department of Biological Sciences Wright State University - Lake Campus Celina Ohio 45822. 2. Aquatic Biology and Fisheries Center Department of Biology Ball State University Muncie Indiana 47306.
Abstract
Discerning spatial macroecological patterns in freshwater fishes has broad implications for community assembly, ecosystem dynamics, management, and conservation. This study explores the potential interspecific covariation of geographic range (Rapoport's rule) and body size (Bergmann's rule) with latitude in North American sucker fishes (Cypriniformes: Catostomidae). While numerous tests of Rapoport's and Bergmann's rules are documented in the literature, comparatively few of these studies have specifically tested for these patterns, and none have incorporated information reflecting shared ancestry into analyses of North American freshwater fish through a hierarchical model. This study utilized a hierarchical modeling approach with Bayesian inference to evaluate the role that evolution has played in shaping these distributional corollaries. Rapoport's rule was supported at the tribe level but not across family and subfamily groupings. Particularly within the Catostominae subfamily, two tribes reflected strong support for Rapoport's rule while two suggested a pattern was present. Conversely, Bergmann's rule was not supported in Catostomidae. This study provides additional information regarding the pervasiveness of these "rules" by expanding inferences in freshwater fishes and specifically addressing the potential for these macroecological patterns to play a role in the distribution of the understudied group Catostomidae.
Discerning spatial macroecological patterns in freshwater fishes has broad implications for community assembly, ecosystem dynamics, management, and conservation. This study explores the potential interspecific covariation of geographic range (Rapoport's rule) and body size (Bergmann's rule) with latitude in North American sucker fishes (Cypriniformes: Catostomidae). While numerous tests of Rapoport's and Bergmann's rules are documented in the literature, comparatively few of these studies have specifically tested for these patterns, and none have incorporated information reflecting shared ancestry into analyses of North American freshwater fish through a hierarchical model. This study utilized a hierarchical modeling approach with Bayesian inference to evaluate the role that evolution has played in shaping these distributional corollaries. Rapoport's rule was supported at the tribe level but not across family and subfamily groupings. Particularly within the Catostominae subfamily, two tribes reflected strong support for Rapoport's rule while two suggested a pattern was present. Conversely, Bergmann's rule was not supported in Catostomidae. This study provides additional information regarding the pervasiveness of these "rules" by expanding inferences in freshwater fishes and specifically addressing the potential for these macroecological patterns to play a role in the distribution of the understudied group Catostomidae.
Large‐scale macroecological patterns, or “rules”, provide essential information for understanding distribution (Brown 1995), providing management recommendations (Fowler et al. 2013), and aid in refining conservation efforts (Jennings and Blanchard 2004) for populations, species, and higher order taxonomic groups. The covariation of geographic range (Rapoport's rule, Rapoport 1975; Stevens 1989) and body size (Bergmann's rule, Bergmann 1847) with latitude are among the most well‐studied macroecological patterns. These patterns have been explored in both terrestrial and aquatic systems at different taxonomic scales (e.g., intraspecific, interspecific); however, results have been mixed (reviewed in Gaston et al. 1998; Blackburn et al. 1999).Collectively, Rapoport's and Bergmann's rules have been the subject of much debate, primarily resulting from a lack of any consistent mechanism to explain their occurrences. Explanations for Rapoport's rule include latitudinal correlations with climate variation, geologic history (e.g., glaciation), watershed area, species richness trends (e.g., competition), and species niche – geographic relationships (Gaston et al. 1998; Arita et al. 2005). Explanations for Bergmann's rule primarily invoke temperature clines concurrent with latitude that coincide with development and maturation times (Bergmann 1847; Ray 1960; Sibly and Atkinson 1994). Irrespective of mechanism, however, these “rules” still serve as useful abstractions to better understand large‐scale distribution patterns.Rapoport's rule has been documented across all North American freshwater fishes (Stevens 1989; Rohde et al. 1993). Both Stevens (1989) and Rohde et al. (1993) used geographic range data from over 700 species' (Lee et al. 1980) and identified increasing range sizes concurrent with northern latitudes. Further interpretation of these studies indicates that this pattern seems to be relegated to the Nearctic and Palearctic zoogeographic regions (i.e., ~ above 35–40 degrees). This conclusion provides strong evidence that the rule may be a by‐product of the Pleistocene glacial history of these regions.Specific to Bergmann's rule, while this hypothesis was developed in the context of interspecific body size variation, the application has been primarily in studies of intraspecific variation (Rensch 1938; reviewed in Blackburn et al. 1999). Despite the breadth of literature on the topic, comparatively few of these studies have tested for Bergmann's rule in fishes, particularly in North American freshwater fish (Belk and Houston 2002; Rypel 2014), and fewer still have explored interspecific variation in North American fishes (Knouft 2004). Belk and Houston (2002) used a dataset including length at age and maximum length data from 18 species representing 10 families. Their results did not indicate any uniform relationship between maximum length and latitude (although several species exhibited inverse relationships at particular age lengths). More recently, Rypel (2014) tested maximum lengths obtained from record angling records of 29 species representing 14 families and found results contrary to Belk and Houston (2002). Consistent with thermal niche, Rypel (2014) found that certain taxa demonstrated Bergmann's rule while others either exhibited inverse relationships or no body size trend with latitude. Specific to Catostomidae, Knouft (2004) parsed out significant positive family level relationships between latitudinal variation and mean regional community body size distributions using least squares linear regression in an analysis of North American freshwater fish.The use of these types of comprehensive datasets provides overarching evidence for all North American freshwater fishes; however, the large taxonomic scales of these analyses also creates the potential problem of signal loss in a particular family or group that diverges from the overall pattern. For example, whole assemblage tests of Rapoport's rule have the potential to obscure patterns in particular genera or families and intraspecific tests of Bergmann's rule do not address variation between individuals or within higher clades. The relationship between range size and body size as a function of dispersal potential may also generate spurious patterns related to latitude, particularly in the recently glaciated Nearctic and Palearctic zoogeographic regions (Blackburn et al. 1999). Furthermore, few tests of Rapoport's or Bergmann's rules account for phylogeny (none in freshwater fish studies), which results in taxonomic independence issues that have the potential to also change signal or lead to invalid conclusions entirely (Clauss et al. 2013).The taxonomic richness and phylogenetic resolution in the freshwater fish family Catostomidae (Suckers), coupled with the variation in body size and geographic range size, provides a unique case study opportunity to assess these two long standing tenets of macroecology, Bergmann's and Rapoport's rules, in an understudied group of fishes. Collectively, Catostomidae includes over 70 recognized species that occupy important niches in both lentic and lotic aquatic food webs across North America. Functionally, Catostomidae utilize their modified fleshy lips with protrusible mouth, pharyngeal arches, teeth, and pads to feed on benthic algae and invertebrates including aquatic insect larvae and mollusks (Boschung Jr. & Mayden 2004). Their importance as a basal consumer is compounded in aquatic ecosystems as a result of their abundance, size distribution, life‐history patterns, and geographic distribution where in many aquatic systems Catostomidae comprise more biomass than any other group of fishes (Becker 1983), occupy a wide range of size classes (Page and Burr 2011), and exhibit the capability to link extensive reaches within systems or between streams, lakes, and rivers via extensive spring spawning migration runs (Cooke et al. 2005; Reid 2006). Traditionally, these taxa have seen little management focus; however, their roles in aquatic ecosystems have generated recent conservation interest, particularly in efforts to better understand their ecology and evolution (Cooke et al. 2005). The objective of this study was to test for the covariation of geographic range (Rapoport's rule) and body size (Bergmann's rule) with latitude in the North American freshwater fish family Catostomidae at multiple taxonomic scales to better understand these fishes and extend our understanding of the prevalence of these general ecological tenets.
Methods
Catostomidae is comprised of 72 recognized species arranged in four subfamilies and several tribes; Myxocyprininae – 1 species, Ictiobinae – 8 species, Cycleptinae – 2 species, and Catostominae – 61 species (Nelson 2006; 76 species cited in Harris et al. 2014) that range in body size (TL) from about 16 cm (Roanoke Hogsucker Hypentelium roanokense) to 100 cm (Bigmouth BuffaloIctiobus cyprinellus) and are distributed across North America occupying a wide variety of habitats (Lee et al. 1980; Page and Burr 2011). Catostominae has been further subdivided into 4 tribes: Catostomini, Thoburnini, Moxostomatini, and Erimyzonini (Doosey et al. 2010). This study used species traits (latitude, maximum body size, and areal geographic range size) compiled for 62 Catostomidae taxa from Page and Burr (2011). Taxa were selected based on data availability and to ensure taxonomic coverage of the family. Latitude was assigned using the midpoint method (Rohde et al. 1993) wherein each species' latitude was treated as an individual point rather than a band (Stevens 1989). The midpoint method was used to specifically denote latitudinal variation instead of band methods to reduce nonindependent variation in mean range size at a given latitude. However, despite these two methodological differences, these two methods most frequently result in identical conclusions (Gaston et al. 1998). All geographic information was extracted from GIS occurrence maps arranged in Page and Burr (2011) using Quantum GIS 2.0.1‐Dufour (QGIS Development Team 2009). Geographic centroid (latitudinal and longitudinal in decimal degrees) was determined using the polygon centroid tool in Quantum GIS. Body size and range size were standardized to z‐score.
Statistical analysis
Latitudinal midpoint (lat) of species i was modeled as a linear function of areal geographic range size and maximum body size. Here, lat is modeled as a normal distribution where the mean is a linear function of areal range size (rs) and maximum body size (bs) for species i.where μ
is the mean latitudinal centroid of each species from the normal distribution (norm), α
is the intercept and represents the hypothetical mean latitudinal centroid with a areal range size and body size of zero for subfamily j and tribe k, and β
1 and β
2 are model coefficients representing the effect of areal range size and body size for subfamily j and tribe k, thus representing the tribe level coefficients. To estimate the effect at different levels of species classification, subfamily and tribe (as delineated in the phylogenetic analysis of Catostomidae of Doosey et al. (2010)) were treated as random effects with tribe nested within subfamily for the intercept and effect of body size and areal range size. Thus, α
, β
1 and β
2 are given a hierarchical prior:
where μ
, μ
1, and μ
2 represent the subfamily level intercept and effect of areal range size and body size; and , and represent the subfamily variance for the effect of areal range size and body size. The next level of the model specified global level coefficients, θ:
where θ
, θ
1, and θ
2 represent the global intercept and effect of areal range size and body size; and , and represent the overall standard deviation for the effect of areal range size and body size. As areal range size and body size are known to be correlated (Gaston and Blackburn 1996), we used a Bayesian Lasso approach to include both variables in the model. The Bayesian Lasso is a variable selection technique that uses a double‐exponential prior on the coefficients (Tibshirani 1996; Park and Casella 2008). The Bayesian Lasso will pull the weakest parameter to 0 thus providing a variable selection method with correlated predictors. Thus, the hyperpriors, μ
1 and μ
2, were given a double‐exponential prior:Further, lambda and mu.tau were given noninformative gamma priors.Uncertainty due to natural individual variation from phylogenetic relationships was accounted for in our analysis by treating phylogenetic classification (e.g., subfamily and tribe) as a random effect. This method makes it possible to directly test relationships at multiple phylogenetic classification scales. While other methods of accounting for phylogenetic uncertainty exist (e.g., de Villemereuil et al. 2012; Jacquemin and Doll 2014) they preclude the ability to assess relationships at multiple scales. For example, de Villemereuil et al. (2012) describe a method of using information from a phylogenetic tree as a variance–covariance matrix in a multivariate normal model. While this method directly incorporates the correlation of traits with closely related species, it does not allow detection of a relationship between latitudinal centroid with areal range size and body size at multiple classification scales. Further, phylogenetic classification could not be used as a random effect and phylogenetic tree information as a variance–covariance matrix in the same model because it would be using similar information multiple times, potentially biasing parameter estimates. Nevertheless, we attempted to fit a model without random effects for subfamily and tribe following the methods of de Villemereuil et al. (2012) and Jacquemin and Doll (2014) to determine an overall effect and compared the two methods using the penalized deviance information criterion (Plummer 2008). The modeling approach using phylogenetic classification as random effects was found to be the best model. For brevity, we are not reporting the results of the model fit following de Villemereuil et al. (2012).Bayesian inference was used to estimate parameters of the model. We used vague (i.e., noninformative) priors for all model parameters except the correlation between slopes to indicate we presume no strong a priori knowledge of the model parameters. Independent univariate normal distributions with a mean of 0 and precision of 0.0001 were used for the individual components of θ and a noninformative gamma prior with shape and scale parameter set to 0.001 was used for individual σ
2, lambda and mu.tau. To generate posterior distributions, we used JAGS 3.4 (Plummer 2003) implemented in R 3.1.3 (R Development Core Team 2015) using the rjags package (Plummer 2013). We ran 3 MCMC chains for a total of 3,850,000 steps, saving every 15 steps, and discarding the first 100,000 steps as a burn‐in period, resulting in 250,000 saved steps. The burn‐in period is necessary to reduce the effect of the starting values on the MCMC results (Gelman et al. 2004). Convergence of the MCMC algorithm was assessed using the Brooks–Gelman–Rubin (BGR) scale‐reduction factor (Brooks & Gelman 1998). The BGR factor is the ratio of between chain variability to within chain variability. Convergence is obtained when the upper limit of the BGR factor is below 1.10, indicating there is not more variability between chains compared to within chains. JAGS code to implement the model is located in the appendix.
Results
Sixty‐two Catostomidae species were used in this analysis (Table 1). Geographic range size ranged from 860 km2 (June SuckerChasmistes liorus) to 10,152,640 km2 (Longnose SuckerCatostomus catostomus) and averaged 883,070 km2 (SD = 1,867,107) (Table 1). Maximum total length ranged from 16 cm (Roanoke Hogsucker Hypentelium roanokense) to 100 cm (Bigmouth BuffaloIctiobus cyprinellus) and averaged 52 cm (SD = 22.39) (Table 1). The geographic centroids for 58 species were located within the contiguous United States and 4 were in Canada (Fig. 1).
Table 1
List of Catostomidae species and data used in analysis separated by subfamily
Scientific name
Common name
Tribe
Latitudinal centroid
Longitudinal centroid
Geographic range (km2)
Max TL (cm)
Map number
Subfamily: Catostominae
Catostomus ardens
Utah Sucker
Catostomini
41.31242
−112.10449
102,804
65
1
Catostomus bernardini
Yaqui Sucker
Catostomini
33.34665
−86.4897
92,575
40
2
Catostomus catostomous
Longnose Sucker
Catostomini
57.46831
−104.21013
10,152,640
64
3
Catostomus clarki
Desert Sucker
Catostomini
35.59759
−112.67592
123,365
33
4
Catostomus columbianus
Bridgelip Sucker
Catostomini
47.47733
−118.9374
551,857
30
5
Catostomus commersoni
White Sucker
Catostomini
50.26681
−93.22362
9,231,664
64
6
Catostomus discobolus
Bluehead Sucker
Catostomini
39.36089
−110.16767
332,654
41
7
Catostomus fumeiventris
Owens Sucker
Catostomini
37.4363
−118.56889
5,016
50
8
Catostomus insignis
Sonora Sucker
Catostomini
33.41703
−110.80325
116,076
80
9
Catostomus latipinnis
Flannelmouth Sucker
Catostomini
35.60942
−110.44653
244,473
56
10
Catostomus macrocheilus
Largescale Sucker
Catostomini
49.27062
−119.98928
1,112,974
61
11
Catostomus microps
Modoc Sucker
Catostomini
41.77595
−120.67758
4,641
34
12
Catostomus occidentalis
Sacramento Sucker
Catostomini
38.59316
−121.33112
150,951
60
13
Catostomus platyrhynchus
Mountain Sucker
Catostomini
46.63671
−116.45383
1,159,539
25
14
Catostomus plebeius
Riogrande Sucker
Catostomini
34.56851
−107.39189
61,039
20
15
Catostomus rimiculus
Klamath Smallscale Sucker
Catostomini
41.84513
−123.14211
32,221
50
16
Catostomus santaanae
Santaana Sucker
Catostomini
34.28435
−118.0457
13,341
25
17
Catostomus snyderi
Klamath Largescale Sucker
Catostomini
42.36869
−121.57067
14,341
55
18
Catostomus tahoensis
Tahoe Sucker
Catostomini
42.36869
−121.57067
90,785
61
19
Catostomus warnerensis
Warner Sucker
Catostomini
42.23512
−120.00839
2,241
35
20
Chasmistes brevirostris
Shortnose Sucker
Catostomini
42.13618
−121.85939
7,815
64
21
Chasmistes cujus
Cui‐ui Sucker
Catostomini
39.99316
−119.51075
1,454
67
22
Chasmistes liorus
June Sucker
Catostomini
40.21964
−111.82311
860
52
23
Deltistes luxatus
Lost River Sucker
Catostomini
42.11806
−121.78845
8,448
86
24
Xyrauchen texanus
Razorback Sucker
Catostomini
34.07607
−110.91141
192,041
91
25
Erimyzon claviformis
Western Creek Chubsucker
Erimyzonini
35.43759
−89.78541
890,062
23
26
Erimyzon oblongus
Creek Chubsucker
Erimyzonini
37.81272
−77.95392
550,049
22
27
Erimyzon sucetta
Lake Chubsucker
Erimyzonini
40.39133
−87.07651
1,120,273
41
28
Erimyzon tenuis
Sharpfin Chubsucker
Erimyzonini
32.17603
−87.59459
70,193
33
29
Minytrema melanops
Spotted Sucker
Erimyzonini
36.06192
−88.22439
1,812,903
50
30
Moxostoma anisurum
Silver Redhorse
Moxostomatini
50.22989
−94.5766
2,485,833
71
31
Moxostoma ariommum
Bigeye Jumprock
Moxostomatini
36.93773
−79.83044
10,795
22
32
Moxostoma austrinum
Mexican Redhorse
Moxostomatini
29.55181
−104.27932
931
49
33
Moxostoma carinatum
River Redhorse
Moxostomatini
40.07894
−85.64416
1,034,062
77
34
Moxostoma cervinum
Black Jumprock
Moxostomatini
36.60167
−78.60258
46,460
19
35
Moxostoma collapsum
Notchlip Redhorse
Moxostomatini
34.63928
−79.44703
217,714
58
36
Moxostoma congestum
Gray Redhorse
Moxostomatini
31.42319
−101.81418
137,613
65
37
Moxostoma duquesnei
Black Redhorse
Moxostomatini
39.46048
−89.72324
895,078
51
38
Moxostoma erythrurum
Golden Redhorse
Moxostomatini
39.82578
−88.63379
1,831,941
78
39
Moxostoma hubbsi
Copper Redhorse
Moxostomatini
45.754
−73.12344
6,471
72
40
Moxostoma lacerum
Harelip Sucker
Moxostomatini
37.21443
−89.42689
238,372
31
41
Moxostoma lachneri
Greater Jumprock
Moxostomatini
35.58985
−84.61566
37,777
44
42
Moxostoma macrolepidotum
Shorthead Redhorse
Moxostomatini
45.66313
−90.98166
5,022,340
75
43
Moxostoma pappillosum
Suckermouth Redhorse
Moxostomatini
35.25811
−80.33674
70,311
45
44
Moxostoma poecilurum
Blacktail Redhorse
Moxostomatini
33.78532
−90.85311
369,976
51
45
Moxostoma robustum
Robust Redhorse
Moxostomatini
34.35924
−81.69928
60,756
42
46
Moxostoma rupiscartes
Striped Jumprock
Moxostomatini
33.79504
−81.96201
74,102
28
47
Moxostoma valenciennesi
Greater Redhorse
Moxostomatini
44.35667
−86.04767
537,396
80
48
Hypentelium etowanum
Alabama Hogsucker
Thoburnini
33.34665
−86.4897
109,419
23
49
Hypentelium nigricans
Northern Hogsucker
Thoburnini
35.76816
−89.91779
1,629,055
61
50
Hypentelium roanokense
Roanoke Hogsucker
Thoburnini
36.87809
−79.57064
16,882
16
51
Thoburnia atripinnis
Blackfin Sucker
Thoburnini
36.66682
−85.97448
2,510
17
52
Thoburnia hamiltoni
Rustyside Sucker
Thoburnini
36.64484
−80.2628
941
18
53
Thoburnia rhothoecum
Torrent Sucker
Thoburnini
37.813
−79.0543
31,440
18
54
Subfamily: Cycleptinae
Cycleptus elongatus
Blue Sucker
32.62822
−98.73843
807,372
93
55
Cycleptus meridionalis
Southeastern Blue Sucker
31.63457
−88.7393
50,357
71
56
Subfamily: Ictiobinae
Carpiodes carpio
River Carpsucker
38.06228
−96.6493
2,770,841
64
57
Carpiodes cyprinus
Quillback
45.73859
−96.65085
2,823,311
66
58
Carpiodes velifer
Highfin Carpsucker
35.94983
−90.29473
931,306
50
59
Ictiobus bubalus
Smallmouth Buffalo
36.76277
−93.47532
1,956,492
78
60
Ictiobus cyprinellus
Bigmouth Buffalo
46.76523
−96.84924
1,587,301
100
61
Ictiobus niger
Black Buffalo
39.70086
−88.87011
705,870
93
62
Figure 1
Location of geographical centroid for 62 Catostomidae species. The size of points is relative to individual species range size (see legend). Numbers correspond to species number in Table 1.
List of Catostomidae species and data used in analysis separated by subfamilyLocation of geographical centroid for 62 Catostomidae species. The size of points is relative to individual species range size (see legend). Numbers correspond to species number in Table 1.The global coefficients for the effect of geographic range size and body size (θ
1 and θ
2) were positive; however, these did not credibly differ (95% CI) from zero, suggesting no relationship at the family level. The median estimate for the effect of areal range size was 0.033 (95% Credible Intervals = −0.525 to 4.292) and body size was 0.006 (95% Credible Intervals = −0.847 to 2.003).Interestingly, subfamily level coefficients for the effect of geographic range size (μ
1) were not consistent across subfamilies (Fig. 2). All three subfamilies resulted in 95% credible intervals that overlapped zero (Fig. 2). However, the subfamily Catostominae resulted in 90% credible intervals (0.014–4.234) that did not overlap zero, suggesting a positive effect.
Figure 2
Subfamily level coefficients for the effect of areal range size. Solid points are the medians of the posterior distribution, and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood. The horizontal dashed line corresponds to an effect of 0.
Subfamily level coefficients for the effect of areal range size. Solid points are the medians of the posterior distribution, and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood. The horizontal dashed line corresponds to an effect of 0.Tribe level coefficients for the effect of geographic range size (β
1) were not consistent across tribes of the subfamily Catostominae (Fig. 3). Two tribes, Catostomini and Moxostomatini, resulted in 95% credible intervals that were positive and did not overlap zero suggesting a significant positive effect (Fig. 3). However, the remaining tribes were positively skewed, suggesting a weak but positive relationship between geographic range size and latitudinal centroid (Fig. 3). Tribe level coefficients for the remaining subfamilies are not shown due to only one subfamily being present. Thus, the posterior of these tribes were similar to their subfamily.
Figure 3
Tribe level coefficients of the Catostominae subfamily for the effect of geographic range size. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood. The horizontal dashed line corresponds to an effect of 0.
Tribe level coefficients of the Catostominae subfamily for the effect of geographic range size. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood. The horizontal dashed line corresponds to an effect of 0.Posterior predicted values for latitudinal centroid for the Catostomini tribe consistently increased with geographic range size (Fig. 4). There is a predicted 16% increase in the median latitudinal centroid as areal range size increased from one standard deviation below average to one standard deviation above average. This change is equivalent to a geographic distance of 657 km.
Figure 4
Posterior predicted latitudinal centroid across a gradient of areal range size (standardized) for the Catostomini tribe. A value of 0 for areal range size represents the overall mean of 883,079 km2. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood.
Posterior predicted latitudinal centroid across a gradient of areal range size (standardized) for the Catostomini tribe. A value of 0 for areal range size represents the overall mean of 883,079 km2. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood.Posterior predicted values for latitudinal centroid for the Moxostomatini tribe consistently increased with geographic range size (Fig. 5). There is a predicted 18.4% increase in the median latitudinal centroid as areal range size increased from one standard deviation below average to one standard deviation above average. This change is equivalent to a geographic distance of 542 km.
Figure 5
Posterior predicted latitudinal centroid across a gradient of areal range size (standardized) for the Moxostomatini tribe. A value of 0 for areal range size represents the overall mean of 883,079 km2. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood.
Posterior predicted latitudinal centroid across a gradient of areal range size (standardized) for the Moxostomatini tribe. A value of 0 for areal range size represents the overall mean of 883,079 km2. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood.Subfamily level coefficients for the effect of body size (β
2) were consistent across subfamilies (Fig. 6). The posterior distribution is peaked over zero, which is similar to the double‐exponential prior we specified, suggesting no credible effect of body size across tribes.
Figure 6
Subfamily level coefficients for the effect of body size. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood. The horizontal dashed line corresponds to an effect of 0.
Subfamily level coefficients for the effect of body size. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood. The horizontal dashed line corresponds to an effect of 0.Tribe level coefficients for the effect of body size (β
2) were consistent across tribes of the subfamily Catostominae (Fig. 7). The tribe level effects mimic those of the subfamily and were peaked at zero. Tribe levels have not been defined for the remaining subfamilies (Doosey et al. 2010).
Figure 7
Tribe level coefficients of the Catostominae subfamily for the effect of body size. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood. The horizontal dashed line corresponds to an effect of 0.
Tribe level coefficients of the Catostominae subfamily for the effect of body size. Solid points are the medians of the posterior distribution and error bars represent the bounds of the 95% credible intervals. Violin plots represent the probability mass associated with the coefficient value. The widest cross‐sectional width of the violin plots represents the coefficient value with the highest likelihood. The horizontal dashed line corresponds to an effect of 0.
Discussion
This study indicated corollaries in range size consistent with Rapoport's rule for the Catostomidae family. At a finer scale, the strongest corollaries occurred in tribes arranged in the Catostominae subfamily. However, no subfamily or tribe of Catostomidae supported Bergmann's rule. The lack of support for Bergmann's rule also precludes an overall interaction between body size and range size, which indicates that there is not a cumulative effect whereby larger fish are not expected to exhibit even larger range sizes with increasing latitude. The present study increases our knowledge on an understudied yet functionally important group representing a large portion of the North American freshwater fish assemblage (~ 8% of ichthyofauna; Harris et al. 2014).
Evolution
Catostomidae occupy one of the largest geographic distributions among freshwater fish families globally. The family exhibits a disjunct contemporary and paleo distribution between North America and Asia. This distribution pattern extends from the Yangtze River Basin to Siberia and throughout North America (Berra 2007). The most widely accepted hypothesis for the evolutionary divergence and dispersion of the Catostomidae is from Darlington (1957), who hypothesized that the group originated in Asia (Eocene epoch 35–55 mya) and radiated across North America via Beringia (and in one case, Catostomus catostomus, moved back into Siberia; Bachevskaya et al. 2014). Despite only preliminary fossil evidence when formulated, the vicariance – dispersal hypothesis of Darlington (1957) has garnered recent support from expanded fossil (Cavender 1986; Chang et al. 2001) and molecular (Bachevskaya et al. 2014) records. Given the evolutionary history of Catostomidae and the role that range expansion and distribution have played in their diversification, the present study provides specific evidence as to the importance of geographic location in understanding range size variation, irrespective of body size.Interestingly, while native Catostomidae are all but extirpated from Asia (except for Myxocyprinus), they have flourished in North America. This may be the result of increased competition with Cyprinidae in Asia and the timely availability of open niches in North America (Chang et al. 2001), particularly those in smaller stream systems. Knouft and Page (2003; using a phylogenetically based analysis) and Smith (1992; using a qualitative approach) suggested that the majority of speciation events in Catostomidae have occurred as a result of smaller bodied individuals involved in smaller stream vicariance events. This coincides with the evolutionary trend of body size and habitat preference (stream size) found in the fossil record whereby deeper bodied taxa that occupy large bodies of water tend to be evolutionarily basal to more recent taxa exhibiting increasingly fusiform body shapes and occupying smaller streams (e.g., Ictiobus vs. Catostomus). From an ecological perspective, larger bodied Catostomidae have also been shown to occupy larger ranges (Pyron 1999). The results of this study, however, indicate that there is not a relationship between established range/body size corollaries and geographic position whereby smaller or larger taxa do not tend to occur further north than opposite ends of the size spectrum, irrespective of evolutionary history. The lack of any relationship with body size is surprising given the vicariance hypotheses of Smith (1992) and the increased diversity in smaller streams in the American Southeast.
Ecology
Recent macroecology literature (Knouft 2004; Griffiths 2010) has summarized several trends that tend to emerge for all North American fishes when observed as a whole. For example, species richness tends to decline with increasing latitude concurrent with an increased proportion of larger body‐sized individuals that also tend to exhibit larger geographic range sizes. However, these patterns seem to be a likely artifact of increasingly large, mobile, migratory, and generalist species acting in a colonizing fashion following Pleistocene glacial events (Knouft 2004; Griffiths 2010). Related to Catostomidae, the lack of Bergmann's rule seems to refute the body size component and visual estimation of published niche breadth data (see Pyron 1999) does not seem to suggest a relationship with latitude. Latitudinal macroecological analyses incorporating migration information, body size, and niche are necessary to formally test this multifaceted hypothesis. However, previous analyses (Pyron 1999) have indicated that Catostomidae with larger geographic range sizes do tend to exhibit higher local abundances, occupy wider ecological niches, and have larger body sizes, after accounting for phylogeny.The use of phylogenetic information in analyses of Rapoport's and Bergmann's rules in recent studies (Cruz et al. 2005; Clauss et al. 2013) represents an important step in the understanding of spatial distribution patterns. Coupling comparative methods with large‐scale distribution and life‐history information may ultimately help to parse out the potential contributions of ecology vs. phylogeny in shaping understanding of species distribution. Cruz et al. (2005) demonstrated improved detectability of macroecological trends such as Bergmann's rule at lower taxonomic scales (e.g., genera compared with family) and suggested that decreasing scale could better elicit specific underlying mechanisms. This conclusion is supported by Clauss et al. (2013), who identified Bergmann's rule in phylogenetic analyses but not in conventional statistics, particularly among closely related species. While our results indicated a similar trend at the family level and lower order tribe level groupings, a stronger effect was identified at the tribal level, suggesting that while Catostomidae respond similarly with respect to these macroecological patterns, there are taxonomic differences in relative effect.
Conclusion
Ultimately, the implications of identifying macroecological patterns are relevant for further disentangling evolutionary trends, community assembly ecology, and improving conservation efforts for populations, species, and higher order taxonomic groups. Due to their high biomass, variable life history, and relative abundance in aquatic ecosystems, Catostomidae serve as important functional components and indicators of ecological integrity (Harris et al. 2014). However, as their status does not relate to game fisheries, their study has not historically been emphasized to the degree of some other stocks. This study provides insight into their distribution patterns while outlining a potential template that could be applied to other taxonomic scales and groups.