Received: 18 May 2020 | Revised: 24 October 2020 | Accepted: 29 October 2020 DOI: 10.1111/jbi.14030 RE SE ARCH PAPER Departing from an ideal: An asymmetric, bimodal and nonEquatorial latitudinal gradient of marine diversity in Western Atlantic burrowing shrimps (Decapoda: Axiidea and Gebiidea) Patricio Hernáez1 | Phillip B. Fenberg2 1 Centro de Estudios Marinos y Limnológicos, Facultad de Ciencias, Universidad de Tarapacá – UTA, Arica, Chile 2 | Marcelo M. Rivadeneira3,4,5 Abstract Aim: Despite the generality of the latitudinal gradient of species diversity (LDG) phe- School of Ocean and Earth Science, National Oceanography Centre, University of Southampton, Southampton, UK nomenon, there is growing evidence showing deviations from an idealized pattern, 3 underlying causes remain little studied. We here evaluate the existence of departures Centro de Estudios Avanzados en Zonas Áridas (CEAZA), Coquimbo, Chile 4 Departamento de Biología Marina, Facultad de Ciencias del Mar, Universidad Católica del Norte, Coquimbo, Chile 5 Departamento Biología, Universidad de La Serena, La Serena, Chile Correspondence Marcelo M. Rivadeneira, Centro de Estudios Avanzados en Zonas Áridas (CEAZA), Av. Bernardo Ossandón 877, C.P. 1781681, Coquimbo, Chile. Email: marcelo.rivadeneira@ceaza.cl Funding information Fundação de Amparo à Pesquisa do Estado de São Paulo, Grant/Award Number: 2015/09020-0; ANID/FONDECYT, Grant/ Award Number: 1200843 Handling Editor: Werner Ulrich that is, a single peak of species richness symmetrically centred in the Equator, but the from the idealized LDG in a group of marine crustaceans and the explanatory role of environmental variables. Location: Coastal shelf (<200 m depth) along the Western Atlantic coast (46°N–47°S). Taxon: Burrowing shrimps (Decapoda: Axiidea and Gebiidea). Methods: We assessed the shape of the LDG in 100 burrowing shrimp species using the reported latitudinal ranges of distribution. Species richness was calculated in one-degree latitude bands using a range-through approach. The shape of the LDG was statistically evaluated in terms of latitudinal symmetry, number of modes and location. We evaluated the importance of 10 environmental variables (proxies of different hypothesis categories) predicting the LDG using a random forest model. Results: Burrowing shrimps exhibit an increase in diversity towards the tropics, but departures to the idealized LDG were evident. The LDG is asymmetric between hemispheres and bimodal (two peaks within the tropics), and this trend cannot be explained in terms of sampling artifacts. A random forest model explains 92% of species richness, but the only significant variables were bottom seawater temperature, bottom seawater salinity, bottom seawater temperature range, and tidal range. These predictors were nonlinearly related to species richness, whereas only bottom seawater temperature and bottom seawater salinity showed a significant phylogenetic signal. Main conclusions: The LDG of burrowing shrimps is driven by ecophysiological restrictions of species, reflecting the role of evolutionary (i.e. ‘time for species accumulation’ and/or ‘diversification dynamics’) and ecological processes (i.e. ‘ecological limits’). Departures from the idealized LDG could be explained by the nonlinear responses of species richness to environmental conditions, the spatial structure of Journal of Biogeography. 2020;00:1–12. wileyonlinelibrary.com/journal/jbi © 2020 John Wiley & Sons Ltd | 1 2 | HERNÁEZ et al. these environmental conditions, and a varying degree of phylogenetic conservatism of key ecophysiological constraints. KEYWORDS Amazon/Orinoco Rivers, Caribbean Sea, Crustacea, diversity gradients, fossorial shrimps, random forest, Thalassinidea 1 | I NTRO D U C TI O N environmental variables (i.e. linear vs. non-linear) and the combined effect of these predictors. The latitudinal gradient of species diversity (LDG), posing that The LDG in marine crustaceans has been studied for more than species richness increases from the poles towards the tropics, is 70 years (Pianka, 1966; Thorson, 1957). A recent synthesis encom- perhaps the most investigated pattern in biogeography and macro- passing 20 studies and seven crustacean orders, revealed a strong ecology (Hillebrand, 2004a; Pianka, 1966; Willig et al., 2003). Marine effect size of the species richness-latitude correlation, supporting organisms are no exception to this generality, as demonstrated by the existence of a ‘idealized’ LDG in marine crustaceans (Rivadeneira several meta-analyses (Hillebrand, 2004b; Kinlock et al., 2018; & Poore, 2020). In contrast, studies analysing causes of the LDG in Menegotto et al., 2019). In recent years, however, the ‘idealized crustaceans are scant. Most have considered only ecological expla- LDG’ in marine systems (i.e. a single peak of species richness, sym- nations, based on correlations between species richness and proxies metrically centred around the Equator) has been challenged by more of environmental energy. Temperature seems to be the most import- detailed analysis of the shape of the pattern (Brayard et al., 2005; ant predictor of species richness (Astorga et al., 2003; Macpherson, Rivadeneira & Poore, 2020). Firstly, studies have reported asym- 2002; Rombouts et al., 2009; Levinton & Mackie, 2013). While sea metric latitudinal trends (i.e. LDG does not follow the same pattern temperature could explain increasing species richness towards lower across hemispheres; Chown et al., 2004; Rex et al., 1993; Valdovinos latitudes, it alone cannot easily explain deviations from the ideal- et al., 2003). Secondly, recent studies have documented the exis- ized LDG (Powell et al., 2012). A recent analysis found that, after tence of a bimodal LDG, where peaks in species richness may occur accounting for latitudinal differences in sampling effort, the LDG of inside or outside the tropics (Chaudhary et al., 2016; Rutherford five major crustacean orders are bimodal (with modes located inside et al., 1999; Saeedi et al., 2017; Worm et al., 2005). Thirdly, several or outside the tropics; Rivadeneira & Poore, 2020). However, the studies have documented that the peak in species richness is slightly coarse resolution of analyses (10° bands) across the global ocean shifted from the geographic Equator and it is placed c. 10°N (Núñez- precluded detailed analyses of the role of environmental factors Flores et al., 2019; Powell et al., 2012). shaping the deviations of the LDG. The underlying causes of the LDG have been extensively debated Here we put these ideas to the test using burrowing shrimps of in the literature, and the plethora of explanations formulated can be the infraorders Axiidea and Gebiidea (formerly treated together as broadly classified into three categories (i.e. ‘ecological limits’, ‘diver- Thalassinidea) distributed along the Western Atlantic (WA). Given sification dynamics’, and ‘time for species accumulation’; Mittelbach its prominent north–south orientation, and continuous extension et al., 2007; Pontarp et al., 2019). At first sight, explanations for the crossing both hemispheres, the WA coast represents an excellent deviations from the idealized LDG could be due to sampling deficien- study system to evaluate patterns and processes related to the cies within tropical zones (Boltovskoy & Correa, 2017; Menegotto LDG. We used burrowing shrimps as study model, a diverse group & Rangel, 2018), yet other explanations (e.g. the presence of the that represents two clades of marine decapods with a body form inter-tropical convergence zone, habitat availability, mid-domain completely adapted for a fossorial lifestyle and that are an import- effects and thermal constraints of species) may also be operating ant benthic component of sandy or muddy intertidal and shallow (Powell et al., 2012). Nevertheless, the same hypothesis categories subtidal habitats worldwide (Hernáez, 2018a). These organisms (and their specific hypotheses and proxies) proposed to explain the are known for constructing burrows of different shapes and depths LDG could also be applied to investigate its departures, by relaxing (Griffis & Suchanek, 1991) and for playing an important role in shap- some of the assumptions. For instance, a nonlinear hump-shaped re- ing the community structure (Pillay, 2019). Bioturbation produced lationship between species richness and temperature may lead to a by burrowing shrimps, that is, the activity of water and sediment bimodal LDG (Brayard et al., 2005; Rutherford et al., 1999; Saeedi expulsion from the galleries, contributes to the suspension of or- et al., 2017). Inter-hemispheric asymmetries in the LDG have also ganic matter, nitrogen fixation and the increases of food availability been attributed to geographic differences in present-day factors among the trophic levels (Pillay & Branch, 2011). In this study, we (Chown et al., 2004). For instance, the continental area and the are particularly interested in the following goals: (a) to evaluate the width of the continental shelf are much larger in the northern than in existence of departures to the idealized LDG, and (b) to assess the the southern hemisphere (Powell et al., 2012). Therefore, the shape role of environmental variables—coarse proxies of the different hy- of the LDG may depend on the spatial structure of environmental pothesis categories—for predicting the LDG. We show that diversity predictors, the functional relationship between species richness and increases towards the tropics, yet the overall LDG is asymmetric, | HERNÁEZ et al. 3 F I G U R E 1 Latitudinal diversity gradient of burrowing shrimps along the Western Atlantic coast. Also shown is the bioregionalization of burrowing shrimps based on the Infomap algorithm. Only four well-represented bioregions (i.e. represented in more than three latitudinal bin) are shown. Map in Mollweide projection bimodal within the tropics, and not centred around the Equator. fieldwork carried out from 2007 to the present along the coast Moreover, we showed that these trends could be closely explained of Central America and South America (Hernáez, 2014, 2018b; by the spatial interplay of a small subset of environmental factors. Hernáez et al., 2012, 2015, 2020; Hernaez et al., 2020; Hernáez & Our results demonstrate that the same conceptual framework used Vargas, 2013; Hernáez & Wehrtmann, 2007). The taxonomic status to study the canonical LDG phenomenon could be also used to ex- of each species was validated using the World Register of Marine plore departures from the idealized trend. Species. The reported latitudinal ranges are provided in the Dataset S1 in the Supporting information. 2 | M ATE R I A L S A N D M E TH O DS 2.1 | Database 2.2 | Shape of the LDG Species richness was estimated in one-degree latitudinal bins, We gathered a database documenting the northernmost and south- assuming a range through approach as commonly used in ma- ernmost limit of the distribution of 100 burrowing shrimp species rine macroecological studies (Roy et al., 1998; Tomašových inhabiting the coastal shelf (<200 m depth) along the WA coast, et al., 2016). This approach assumes that the sampling effort is from Canada (46°N) to Patagonia (47°S). This represents c. 15% and spatially homogenous, which is often not the case. Although we 83% of all valid species of Axiidea and Gebiidea described for the lack estimates of local sampling effort across the study area, world and western Atlantic, respectively (World Register of Marine such bias should produce specific trends different than reported Species, www.marinespecies.org, accessed on July 17th 2020). The here. For instance, sampling effort in global databases such as information was collected from an exhaustive literature review and the Ocean Biogeographic Information System is strongly biased Niche conservatism. Climatic stability (decades to millennia). Climatic stability (millennia to million of years). Area: diversification. Area: carrying capacity. More specialization. h g More individuals: carrying capacity. e i f,g Mean primary productivity b b f,h Total suspended material Shelf area b b pH Seasonal coexistence. d c b f f Wave height Temperature-dependent speciation. a f,g Coastal length i f Tidal range b b e c,d b Time for spp accumulation Bottom water temperature range (BWTR) a Diversification dynamics b Ecological limits Mean bottom water salinity (BWS) Mean bottom water temperature (BWT) Predictor Hypothesis category 4.169 2.380 5.375 2.574 1.312 2.078 1.477 2.679 7.580 7.252 VIF 3.309 3.731 3.214 3.181 2.904 3.089 2.423 2.357 1.762 1.364 Min depth of tree 2.641 3.000 4.845 5.330 9.228 9.420 11.249 18.883 26.998 102.112 MSE Relative importance in random forest model 94.7 91.3 94.3 94.2 92.8 93.7 98.1 97.1 98.8 99.1 % sign. Trees 1 1 1 1 1 1 <0.00001 <0.00001 <0.00001 <0.00001 p-value 0.415 — 0.437 0.448 0.421 — 0.385 0.482 0.517 0.695 K 0.421 — 0.335 0.315 0.654 — 0.842 0.189 0.040 0.003 p-value Phylogenetic signal TA B L E 1 Environmental predictors of the latitudinal gradient of diversity of burrowing shrimps along the Western Atlantic coast. These predictors are proxies of different hypotheses grouped into three categories (sensu Pontarp et al., 2019). Also shown are their level of collinearity (variance inflation factor, VIF), variable importance according three measures (mean minimal depth, mean increase of mean squared error and percentage of trees in which a split on target predictor occurs) in the random forest analysis and their phylogenetic signal (Blomberg's K). Significant values (p < 0.05) highlighted in bold 4 | HERNÁEZ et al. | HERNÁEZ et al. towards mid-latitudes (especially in the northern hemisphere), and 5 2.3 | Predictors of the LDG the tropics tend to be undersampled (Menegotto & Rangel, 2018). Because tropical areas are represented mostly by developing coun- We evaluated the importance of 10 environmental variables pre- tries (Sachs, 2001), sampling effort might be considerably lower dicting species richness (Table 1). The data were obtained from in these areas (Amano & Sutherland, 2013) thus leading to spuri- BioOracle 2.0 (Assis et al., 2018), GMED (http://gmed.auckl ous extra-tropical peaks of diversity (Menegotto & Rangel, 2018); and.ac.nz; 0.05° resolution each), and Aquamaps database v2.0 this is not our case (e.g. peaks are intra-tropical, see Figure 1). (Kaschner et al., 2008; 0.5° resolution). Values were averaged over That said, we explored the potential impact of different types of one-degree latitudinal bins, using only pixels on the coastal shelf sampling biases on the shape of the LDG. Analyses were carried (<200 m depth). The information of environmental variables is out for: (a) higher taxonomic levels (genus and families), at which provided in the Supporting information (Dataset S2). These vari- sampling biases are expected to be much lower than species; (b) ables represent proxies of the different hypothesis categories of- excluding singletons (i.e. species documented in a single locality, fered to explain the LDG (Pontarp et al., 2019). A same proxy may or with a known distribution smaller than one degree of latitude); be related to more than one category; for instance, shelf area may (c) using subsets of species according to their year of taxonomic reflect the importance of ‘ecological limitation’ (e.g. ‘more individu- description (i.e. before 1900, and 1980). If the LDG is independent als or more area’), or ‘diversification dynamics (e.g. diversification of the level of taxonomic completeness, which may not necessar- rates). In order to test the relevance of the niche conservatism hy- ily be true (Edie et al., 2017), then the shape of the LDG should be pothesis (see Pontarp et al., 2019), we estimated the phylogenetic insensitive to the discovery of new species. signal of each one of the eight environmental variables linked to We evaluated three aspects of the shape of the LDG, namely: the species’ ecophysiological tolerances. To do this, we used the (a) symmetry, (b) unimodality and (c) equatorial centring. Departures median of the environmental trait across the entire latitudinal dis- from an inter-hemispheric symmetry were evaluated using the sym- tribution of each species. Since we lack a molecular phylogeny for metry test proposed by Miao et al. (2006), implemented in the li- the group, we used the taxonomic structure as a coarse proxy of brary ‘lawstat’ in R (Gastwirth et al., 2019). The unimodality of the phylogenetic relatedness among species as this still may retain LDG was statistically evaluated using a Gaussian finite mixture mod- enough evolutionary history in order to carry out comparative phy- elling (GMM). The GMM evaluates whether a mixture of several dis- logenetic analyses (Soul & Friedman, 2015). We used Blomberg's tributions combine to create an observed frequency distribution. A K (Blomberg et al., 2003) to measure the degree of phylogenetic Bayesian approach was used to estimate the optimum number of signal, where larger values of K indicate a strong phylogenetic con- clusters or distributions, from one to nine, where larger Bayesian servatism of the trait. Analyses were carried out using the libraries Information Criterion (BIC) values indicate stronger support for the ‘ape’ (Paradis et al., 2004), 'palaeotree' (Bapst, 2012) and ‘picante’ model and number of clusters (Fraley & Raftery, 2003). Then the (Kembel et al., 2010) in R. mean value for each cluster was estimated, with bootstrapped 95% The effect of these predictors shaping the LDG was evalu- confidence intervals. Analyses were carried out using the library ated using a random forest regression. Although analyses of the ‘mclust’ in R (Scrucca et al., 2016). We evaluated whether the boot- LDG often relies on linear or multivariate regressions, or general- strapped confidence interval (CI) of all clusters contained the 0° lat- ized linear models using a multi-model average approach (Kreft & itude to test departures from Equatorial centring. Jetz, 2007; Tittensor et al., 2010), the random forest—a machine We tested whether multiple peaks of species richness occur learning method—offers the advantage of making no assumptions within or among different bioregions. We used a network-theory on the error structure, is able to deal with classification and regres- approach to estimate the number and position of bioregions. Unlike sion problems, has few tuning hyperparameters and is robust to classic classification methods, the network-based approach maxi- overfitting (Breiman, 2001; Liaw & Wiener, 2002). Random forests mizes the use of information, and has proven to be especially useful outperforms other modelling approaches including regression tree for the detection of biogeographic modules (i.e. bioregions) through analysis, bagging trees, multivariate regression and multivariate re- different algorithms (Bloomfield et al., 2018). Recent studies demon- gression splines (Oliveira et al., 2012; Prasad et al., 2006). We ran strate a better performance of the several network methods over the random forest using the default parameters, that is, mtry = p/3 classic hierarchical classification analyses to explore biogeographic (where p is the number of predictors per tree) and node size = 5, patterns (Bloomfield et al., 2018; Vilhena & Antonelli, 2015). We but we grew 10,000 trees to ensure the stability of the estimates of analysed the modularity (Q) of the bipartite network (i.e. presence– variable importance. Hyperparameter tuning, in fact, may increase absence species-latitudinal bin matrix) using the Infomap algorithm the performance of random forest (Probst et al., 2019). Variable im- (Edler et al., 2016; Rosvall & Bergstrom, 2008), and its significance portance was evaluated using mean minimal depth, mean increase of was evaluated using 10,000 null matrices preserving the degree mean squared error and percentage of trees in which a split on target distribution (i.e. conserving the original distribution of edges per predictor occurs. P-values were estimated from a one-sided bino- species). Only modules represented by at least three latitudinal bins mial test. Analyses were carried out in the libraries ‘randomForest’ were considered as bioregions. Analyses were carried out using the (Liaw & Wiener, 2002) and ‘randomForestExplainer’ (Paluszynska library ‘igraph’ (Csardi & Nepusz, 2006) in R. et al., 2019) in R. Partial dependence plots were used to inspect the 6 | HERNÁEZ et al. conditional shape of the predicted species richness versus selected analyses at higher taxonomic levels, excluding singletons, or control- predictors, using the library ‘pdp’ (Greenwell, 2017) in R. ling for the year of taxonomic description did not alter these results Since collinearity can severely mask the relative importance of (Figure S1 in the Supporting Information). predictors (Strobl et al., 2008), we carried out a variance inflation The random forest model had a very high predictive accuracy factor (VIF) to select only variables with a VIF < 10. VIF was es- (pseudo-r2 = 0.92) and showed that only four variables were signifi- timated using the library ‘usdm’ in R (Naimi et al., 2014). Since all cant (Table 1). Although variable importance varied according to the variables showed a low VIF (Table 1), they were all retained in further criteria used, in general, mean bottom water temperature (BWT) was analyses. Although random forest is robust to non-independence of the most important variable followed by bottom water temperature residuals, we also carried out an analysis including latitude and longi- range (BWTR), mean bottom water salinity (BWS) and tidal range tude as co-variables in the model. This approach is analogous to the (Table 1). The four environmental predictors showed different spa- use of spatial eigenvectors (Diniz-Filho & Bini, 2005). We inspected tial characteristics. All predictors were multimodal (Figure S2) and the residuals of the model to explore the presence of unexplained only BWT and BWS were symmetrical (p = 0.91 and 0.80, respec- factors using a spatial autocorrelogram (with 1,000 runs) analysis in tively). Only BWT and BWTR had one their modes centred around the library ‘ncf’ in R (Bjornstad, 2019). the Equatorial line (Figure S2). The random forest model including only these four variables still had a high accuracy (pseudo-r2 = 0.90). Partial dependence plots show a positive growing response of spe- 3 | R E S U LT S cies richness to BWT (Figure 4a), with a sudden increase of c. 23°C and then a stabilization above 25°C. BWS also had a nonlinear re- The species richness of burrowing shrimps increases from the tem- sponse, with richness increasing at higher salinities (35 PSS), but perate regions towards the tropical region, revealing a significant then declining slightly at maximum salinity values (Figure 4b). On the negative correlation between species richness and absolute latitude contrary, the partial response of richness to BWTR shows a nega- (Pearson's r = −0.82, p < 0.0001, N = 93) across both hemispheres tive trend, falling abruptly at values higher than c. 10°C (Figure 3c). (Figure 1). The LDG was significantly asymmetric between hemi- The partial response due to the tidal range shows a nonlinear trend, spheres (p < 0.0001). The GMM showed that the optimal number with maximum values of species richness found at lower tidal ranges of clusters describing the LDG were two (Figure 2a); the first and (<0.3 m), and minimum at intermediate levels (0.3–1 m; Figure 4d). major peak located around the Caribbean Sea (c. 10–17°N), and Blomberg's K was significant for BWT (K = 0.70, p = 0.003) and the secondary and minor peak situated at the northernmost state BWS (K = 0.52, p = 0.04); all other predictors showed non-significant of the northeastern region of Brazil (i.e. State of Maranhão, 2–3°S), K values (Table 1). Despite residuals of the random forest models (with all variables, from the mouth of the Amazon River to the point where the South and with only significant variables) showing a significant autocor- Equatorial Current reaches the coast of Brazil (Figures 1 and 2b). The relation at intermediate spatial scales (c. 3,500 km, Figure S3), ac- modularity of the biogeographic network was significant (Q = 0.15, counting for the spatial autocorrelation in the random forest model p < 0.0001) and defined four major bioregions (Figure 1). Both (Figure S3) did not alter the responses of species richness to envi- peaks of species richness fall within the Tropical Atlantic bioregion ronmental predictors (Figure 4). The main peak of species richness (Figure 1), and their mean locations were statistically different from around the Caribbean Sea is associated with high BWT, low BWTR, the null expectation of the Equatorial line (0°, Figure 2c). Repeating low tidal range and high BWS (Figure 4). The tropical drop in species (b) V ● ● (c) Overall Individual clusters −11200 ● 0.6 Frequency ● 0.4 Density ● 0.015 ● ● 0.010 ● ● 0.020 ● ● ● 0.8 ● −11180 ● 2 4 6 Clusters 8 0.0 ● 0.2 0.005 ● 0.000 −11160 EV −11220 −11240 BIC ● 0.025 ● 1.0 (a) −11140 −11120 with a broad dip of richness between 0 and 10°N, that is, the area −40 −20 0 20 Latitude (º) 40 −20 −10 0 10 Latitude (º) 20 F I G U R E 2 Bimodality of the latitudinal diversity gradient of burrowing shrimps. (a) Optimum number of clusters detected by a Gaussian finite mixture model, assuming equal (E) or variable (V) variance among clusters. (b) Density probability of latitudinal gradient of species richness, showing the decomposed probabilities for each detected cluster. (c) Mean location (° latitude) associated to each cluster showing the 95% confidence intervals (10,000 bootstrapped values), not including the 0° in both cases. Note the (c) has a different scale in abscissa | HERNÁEZ et al. Observed Predicted ● ● ●● ● ●● ● ● ● ● ●● ●● ●● ● ● ●●● ● ●● ● ●● ●●● ●● ●● ● ● ● ● ●●●●●●● ● ● ● ● ●● ● ● ● ● 0 (a) ● of burrowing shrimps occurs at 10°N, thus corroborating the aforementioned study. This bimodal LDG has also been noticed in other marine crustaceans, where one of the two modes is located outside the tropics (Chaudhary et al., 2016; Dworschak, 2000; Levinton & Mackie, 2013). Our analyses, nevertheless, point out the existence LDG bimodality could be attributed to sampling insufficiency in the tropics (Dworschak, 2005; Fernandez & Marques, 2017; Menegotto (b) 10 15 BWTR (ºC) & Rangel, 2018), our analyses suggest that the intra-tropical bimodality is not attributable to sampling biases or taxonomic completeness, being a real biological pattern for WA burrowing shrimps. 4.2 | Factors shaping the LDG 5 10 15 20 25 The high accuracy of the random forest model indicates that the (c) Mean bottom water salinity (BWS) Tidal range 0.5 1 1.5 tidal range (m) 33 34 35 36 37 38 5 BWT (ºC) of intra-tropical bimodality. While the phenomenon of extra-tropical ● ● ● ●●● ● ● ●●● ● ●● ● ● ● ●●●●● ● ●● ●●●●●●●●●●● Mean bottom water temperature (BWT) Bottom water temperature range (BWTR) BWS (PSS) taxa is shifted from the 0° line. We have found that maximum richness 2 20 10 Species richness 30 ● 7 LDG, and its departures from the idealized trend, can be largely explained by the combined effect of a few environmental variables. These variables likely reflect the importance of ecophysiological restrictions shaping the LDG operating at both evolutionary and ecological time-scales. Interestingly, bimodality cannot be reproduced by isolated factors, but by the combination of several factors. For instance, although sea temperature was the most important −50 −40 −30 −20 −10 0 10 20 30 40 50 Latitude (º) F I G U R E 3 Environmental predictors of the latitudinal diversity gradient of burrowing shrimps along the Western Atlantic coast. (a) Observed and predicted species richness by a random forest model including only significant variables (see Table 1), (b) latitudinal variation of mean bottom water temperature and bottom water temperature range and (c) latitudinal variation of mean bottom water salinity, and tidal range variable explaining species richness, along with previous analyses (Astorga et al., 2003; Levinton & Mackie, 2013; Macpherson 2002; Rombouts et al., 2009), it alone cannot create the bimodal LDG (Powell et al., 2012). Previous studies indicate a nonlinear relationship between species richness and temperature, showing either a saturation trend at higher temperatures (Saeedi et al., 2017), or a hump-shaped pattern, that is, declining species richness at higher temperatures (Brayard et al., 2005). However, the partial dependence plot of predicted species richness versus BWT only shows a soft bound at higher temperatures (Figure 4a). We propose that the interplay of predictor variables is what leads to the observed devia- richness in the northern South American coast is associated with a tions from the idealized LDG. In fact, all four main predictors had high BWT, low BWTR, low BWS and high tidal range (Figure 4). complex spatial patterns (Figure S2); all of them were multimodal, some of them were symmetric and some of those modes fall within 4 | D I S CU S S I O N 4.1 | Shape of the LDG the Equatorial line. The main peak in diversity, in the Caribbean Sea, is specifically associated to high and stable thermal conditions, combined with an elevated salinity and low tidal ranges. These factors reflect a likely ecophysiological control on species distribution. Speed of Our analyses indicate that burrowing shrimps increase in species evolution directly driven by temperature has been noted as one richness towards the tropics, but also reveal deviations from an ide- of the main factors explaining the greatest species richness in alized pattern: the LDG is asymmetric and bimodal, with peaks of certain animal groups of the tropical regions (Rohde, 1999; Willig species richness located outside the equatorial line (yet within the et al., 2003). In particular, temperature can modify bioturbation tropics). rates of burrowing shrimps, provoking a significant reduction of Asymmetries in the LDG have long been recognized (Chown sediment expulsion from burrows at low temperatures compared et al., 2004; Rex et al., 1993; Valdovinos et al., 2003). For instance, with high temperatures, and consequently endangering the sur- Powell et al. (2012) evaluated the LDG in living and fossil biotas dis- vival of these organisms (Berkenbusch & Rowden, 1999; Rowden tributed along the Pacific and Atlantic coast, concluding that—beyond et al., 1998). On the other hand, several studies have demon- possible sampling artifacts—the peak of diversity among studies and strated that changes in water salinity are strongest at the equator, 8 | HERNÁEZ et al. 16 15 14 16 12 13 12 5 10 15 20 25 33 BWT (ºC) 34 35 36 37 BWS (PSS) (d) 15.5 (c) 14 14.5 15 with spatial autocorrelation control without spatial autocorrelation control 13.5 13 Predicted species richness F I G U R E 4 Partial dependence plot showing the relationship between predicted species richness of burrowing shrimps and (a) mean bottom water temperature, (b) mean bottom water salinity, (c) bottom water temperature range, and (d) tidal range. Rugs are shown along the x-axis to visualize the distribution of data points (b) 8 Predicted species richness (a) 5 10 15 0.5 BWTR (ºC) 1.0 1.5 2.0 Tidal range (m) where the progressive increment of rainfall during the wet season Our correlational approach also allowed us to explore the impor- causes a sustained reduction of salinity in marine waters (Amador tance of the three categories of explanations proposed for the LDG et al., 2006; Cortés, 1996). While adult burrowing shrimps are eu- phenomenon (Table 1). For instance, the phylogenetic signal detected ryhalines, exhibiting a high tolerance to salinity fluctuations, the for the BWT and BWS suggests strong ecophysiological niche con- mortality of larval phases is increased at lower salinities (Faleiro servatism, providing support for the ‘time for the diversification hy- et al., 2012; Paula et al., 2001). potheses’ (assuming that clades originated first at low latitudes). BWT While it is true that our approach just considered latitudinal may also reflect the importance of ‘diversification dynamics hypoth- variation, the longitudinal information, that is, the shelf area, eses’, as shown in other crustaceans (Rivadeneira & Poore, 2020; was not a significant predictor of the diversity of WA burrowing Yasuhara et al., 2009). The Caribbean Sea is a hotspot of diversity of shrimps. Indeed, although shelf area is much larger around the many marine organisms (Bowen et al., 2013; Kerswell, 2006; Roberts Gulf of Mexico and northern South America (Ludt & Rocha, 2015), et al., 2002; Tittensor et al., 2010) that could be linked to strong di- the peaks of diversity were not associated with these areas. versification dynamics (Bowen et al., 2013; Rocha et al., 2008). The Nevertheless, our approach does not allow us to differentiate insufficient fossil record, represented mostly in Callianassidae (Hyžný patterns and processes occurring within the Caribbean basin, as & Klompmaker, 2015), but unavailable in other families of burrowing multiple ecoregions with large differences in species composition shrimps and the controversial phylogenetic information about these are being combined (Williams et al., 2015). The secondary peak in organisms (Poore et al., 2014, 2019; Sakai, 2014) precludes, for the diversity occurs in northern Brazil, and its conditions differ from moment, a more formal evaluation of the importance of evolutionary the Caribbean Sea, having even higher salinities and intermedi- drivers on LDG. In addition, the other key predictors such as BWTR ate to high tidal ranges. The LDG declines across c. 2,800 km in and tidal range showed no phylogenetic signal, and they might reflect the northern portion of South America. This fall in diversity is at- the importance of the ‘ecological limits’ hypotheses, that is, climatic tributed to maximum tidal ranges and low salinity. The reduction of stability and local carrying capacity. However, other factors or vari- salinity is due to the freshwater discharges of the Amazon/Orinoco ables not considered in this study may be also relevant. In fact, the Rivers, ranked as top one and three in freshwater discharge to the residuals of the random forest models exhibit significant spatial auto- ocean (Kang et al., 2013). This creates a large area of suboptimal correlations with characteristic scales of c. 3,500 km, suggesting that osmotic conditions for many species, especially during the larval processes operating at those scales may be also relevant for the LDG. phase (Anger, 2001). Previous studies have shown the importance For instance, habitat availability, not considered in our study, is a top of Amazon River discharges on spatial patterns on larval dispersal variable explaining the LDG and bioregionalization of rocky intertidal and spatial distribution of marine invertebrate populations (Goes gastropods along the eastern Pacific (Fenberg & Rivadeneira, 2019). et al., 2014). Interestingly, freshwater discharge also increases the Beach morphodynamics (i.e. beach slope and grain size) are also im- total suspended matter, but it had no effect on species richness portant predictors of macrobenthic species richness in sandy beaches as burrowing shrimps are adapted to highly hypoxic sediments (Barboza & Defeo, 2015; Defeo & McLachlan, 2013) and should be (Atkinson & Taylor, 2005). considered by future studies. | HERNÁEZ et al. 4.3 | Concluding remarks Our study shows that deviations from the idealized LDG do not necessarily refute the generalized increase in diversity towards the tropics. In fact, the effect size of the strength of the LDG (i.e. Fisher's transformation of the correlation between species richness and absolute latitude) was −1.17, stronger than the mean effect size estimated for other marine datasets (Hillebrand, 2004a, 2004b; Kinlock et al., 2018; Menegotto et al., 2019; Rivadeneira & Poore, 2020). Further comparative studies are needed in order to make firmer conclusions regarding the generality of the departures from the idealized LDG. In fact, these departures may not be exclusive to marine systems, being also present in terrestrial taxa as suspected by previous studies (Brayard et al., 2005). However, given the fact that many (if not most) environmental variables are not unimodal, symmetrical and centred around the Equator (e.g. Chown et al., 2004; Powell et al., 2012), we may anticipate that new studies may confirm our findings. Our analysis confirms the need for more refined methods to characterize the causes of the spatial variability of LDG patterns. AC K N OW L E D G E M E N T S We appreciate the constructive and useful comments and suggestions made by Werner Ulrich, Matthew Powell and one anonymous reviewer. We are grateful to ‘Fundação de Amparo à Pesquisa do Estado de São Paulo' (FAPESP) for providing funding in the form of a postdoctoral research fellowship for PH (#2015/09020-0). Also, the first author is grateful to his friend Marcelo Pinheiro for provide working space at the Grupo de Pesquisa em Biologia de Crustáceos (Crusta), Universidade Estadual Paulista (UNESP). The research of MMR was funded by project ANID/FONDECYT #1200843. MMR thanks the continuous support and cogent critics of Benjamin Rivadeneira and Adele Bruna-Bello. No permits were needed to carry out this study. DATA AVA I L A B I L I T Y S TAT E M E N T All data related to this article are included in the Supporting Information openly available in the Dryad Repository https://datad ryad.org/stash/dataset/doi:10.5061/dryad.31zcrjdh9. ORCID Patricio Hernáez Phillip B. Fenberg https://orcid.org/0000-0002-3785-2050 https://orcid.org/0000-0003-4474-176X Marcelo M. 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Temporal latitudinal-gradient dynamics and tropical instability of deep-sea species diversity. Proceedings of the National Academy of Sciences of the United States of America, 106(51), 21717–21720. https://doi. org/10.1073/pnas.0910935106 B I O S K E TC H Patricio Hernáez, Philip B. Fenberg and Marcelo Rivadeneira are interested in the evolutionary ecology and autoecology of marine organisms and their biogeography. They have used crustaceans, among other invertebrates, as model organisms to study latitudinal changes in species richness and reproductive biology. Their research includes seasonal and spatial patterns of reproduction, functional biogeography and population dynamics. Authors Contributions: P.H. and M.M.R. conceived the idea for this study; P.H. and M.M.R. collected the data; M.M.R. analysed the data; P.H., P.B.F. and M.M.R. wrote the paper. S U P P O R T I N G I N FO R M AT I O N Additional supporting information may be found online in the Supporting Information section. How to cite this article: Hernáez P, Fenberg PB, Rivadeneira MM. Departing from an ideal: An asymmetric, bimodal and non-Equatorial latitudinal gradient of marine diversity in Western Atlantic burrowing shrimps (Decapoda: Axiidea and Gebiidea). J Biogeogr. 2020;00:1–12. https://doi.org/10.1111/ jbi.14030