INTRODUCTION
Dispersion is an active or passive transport mechanism of individuals, at intra or inter-population level, and which depends on the intrinsic characteristics of the species and their habitat. In marine environments, benthic species generally have a period of active dispersion restricted to a stage of the life cycle, the larval phase (Palumbi 1996; Grosberg & Cunningham 2001; Cowen & Sponaugle 2009; Haye et al. 2014). This dispersive stage is a key factor, especially for species with sessile adults, because it determines the degree of connectivity between the populations of a species, defines its distribution and other patterns such as the relative abundance of each population (Palumbi 2003; Cowen & Sponaugle 2009). Consequently, it is expected that species with a larval dispersal stage will show either low or no genetic differentiation among their populations, also called the “connectivity paradigm” (Scheltema 1971, 1986a, 1986b; Pechenik 1999; Grosberg & Cunningham 2001; Palumbi 2003; Haye et al. 2014). Whereas this prediction has been supported by numerous studies (Todd et al. 1998; Bohonak 1999; Cárdenas et al. 2009; Zakas et al. 2009; Maltagliati et al. 2010; Ibañez et al. 2011; Haye et al. 2014), some species do not support the connectivity paradigm (Hereu et al. 2004; Sotka & Palumbi 2006; Ayre et al. 2009; Pelc et al. 2009), despite having prolonged larval stage, and even in species that spend their entire life as part of the plankton.
Thereby, the genetic structure pattern of a species, defined as the distribution of alleles in a geographical range, is the result of the relationship between structuring (i.e., biogeographic breaks) and homogenizing factors (i.e., dispersal of adult propagules or larvae, rafting, among others) and the effects of the interaction between historical and contemporary processes (Palumbi 1996; Goldson et al. 2001; Grosberg & Cunningham 2001; Gawarkiewicz et al. 2007; Haye et al. 2014). Therefore, the degree of genetic structure could provide useful information on historical and current connectivity between populations (Avise 2000; Pelc et al. 2009; Haye et al. 2014). In this sense, biogeographical breaks, defined as areas where the limit of the distributional range for a high number of species occur (Sánchez et al. 2011), can generate genetic signals detected as phylogeographic breaks. Meaning, intraspecific genetic differentiation due to past or present barriers that interrupt the gene flow of species (Wares & Cunnigham 2001; Cárdenas et al. 2009; Pelc et al. 2009; Haye et al. 2014). Thereby, understanding of how historical and/or contemporary processes have determined the current distribution and abundance of species has been a long-standing scientific concern (Avise 2000).
STUDY AREA
The Southeastern Pacific (SEP) is an extended area defined from the Equator to the southern tip of South America. We recognize three regions from north to south: a year-round upwelling (from the equator to c. 30° S), a seasonal upwelling (c. 30-40° S) and the Patagonian Area (south of 40° S), which is characterized by fjords and straits (Cárdenas et al. 2009). The region from 40°-42° S to 6° S is influenced by a northward complex system of marine currents known as the Humboldt Current System (HCS), characterized by upwelling processes, that carry nutrient-rich waters to the surface from the bottom of the continental shelf (50-100 m deep) (Montecinos et al. 2005; Thiel et al. 2007; Ibáñez et al. 2011; Hooker et al. 2013). Thiel et al. (2007) identify four intense upwelling processes in the SEP (Mejillones, Antofagasta, Coquimbo and Concepción), whose influence allows the growth of marine prairies which feeds herbivores such as echinoids and gastropods (Hooker et al. 2013). Another characteristic of the coast of the SEP is the subsurface oxygen minimum zones (OMZs) (Ulloa & Pantoja 2009), a drastic oxygen concentration decrease to levels < 20 µM and even anoxia, due to the high primary productivity in surface waters and sluggish ventilation. This OMZ is quite thick (~500m) and its upper boundary varies: it is shallow (25-50m) off the coasts of Peru and northern Chile, and deepens further south (~100m off Concepción at 37°S) (Atkinson et al. 2002; Fuenzalida et al. 2009).
The continental shelf of the SEP has a narrow and wedged shape in Northern Chile (~4.8-6.4 km up to ~32°S), which progressively widening from 36°S until it reaches around 16 to 70 km (Bernal et al. 1982; Thiel et al. 2007). This zone is characterized by a sea bottom consisting of eroded rocky terraces, and deep and abrupt clines north of 32°S, while south of 32°S it is made up of sedimentary basins. Due to the different distributional patterns and changes in biotic components, three biogeographic units have been described for the SEP, from North to South: i) The Peruvian Province (4°S-30°S), characterized by temperate biota and permanent upwelling events; ii) the Intermediate Area (30°S-42°S) with mixed character biota and seasonal upwelling, and iii) the Magellanic Province (42°S-56°S) characterized by an austral/southern biota (Camus 2001; Cárdenas et al. 2009; Sánchez et al. 2011). Between these provinces and area, two biogeographic breaks occur. The first one is located at ~30°S and its origins and determining environmental factors have not been clearly defined. The second one, located at ~42°S, is recognized as the main source of biogeographic discontinuity of the coastal line (Camus 2001), in which the Last Glacial Maximum was key to its establishment (Cárdenas et al. 2009).
STUDY MODEL
Among the diverse benthic fauna of the Southeastern Pacific, echinoderms stand out for their diversity, their ecological role as primary consumers and in most cases for having a complex life cycle that includes a dispersive larval phase (Smith 1997; McEdward & Miner 2001; Moore 2006). Arbacia spatuligera (Valenciennes 1846) is an echinoid that inhabits the subtidal zone (< 30m, Larraín 1975), distributed from Guayaquil (~2°S, Equator) to Puerto Montt (~41°S, Chile, Larraín 1975; Lessios et al. 2012). A. spatuligera has a complex life cycle with a planktonic larval phase of ~ 30 days, followed by settlement and metamorphosis into a benthic adult stage (Harvey 1956; Lessios et al. 2012). This species has no commercial value and is little known, with studies mainly focused in fertility/survival bioassays (Bay-Schmith 1981; Larraín et al. 1999). However, its dispersal potential conferred by the presence of a planktonic larval stage and a wide distribution range across Peruvian Province and the Intermediate Area of the SEP, make this species an interesting study model to evaluate the historical effects of geographical, oceanographic and climatic conditions on the genetic diversity pattern of marine benthic fauna.
Phylogeography interprets the spatial distribution of gene lineages, using mainly fragments of mitochondrial DNA (mtDNA), due to its fast-paced evolution, maternal inheritance and intraspecific polymorphism (Avise et al. 1987). In particular, the COI (Cytochrome Oxidase I) marker, has proved to be especially useful to allow the detection of historical and contemporary gene flow in many animal study models such as echinoids (i.e.Duran et al. 2004, Haye et al. 2014) and even concordance between phylogeographic and biogeographic breaks (Palumbi 1996; Lessios et al. 1999; Debenham et al. 2000; McCartney et al. 2000; Lessios et al. 2001, 2003; Iuri et al. 2007; Pelc et al. 2009; Haye et al. 2014). Therefore, using molecular tools (Cytochrome Oxidase I, mtDNA), the present study will determine the pattern of genetic diversity, genetic structure and reconstruct the demographic history of the species A. spatuligera in the SEP. Due to its dispersive larval phase and distribution range influenced by SCH, we expect to detect a high genetic diversity and no signal of genetic structure despite the biogeographic scenario described for the SEP.
MATERIALS AND METHODS
SAMPLE COLLECTION
140 individuals of Arbacia spatuligera were collected by SCUBA diving (10-30 m) from 5 locations along the SEP between Peru (11°59'18'' S, 77°14'47'' W) and Southern Chile (36°45'37'' S, 73°1''13'' W), during 2016 and 2018. According to the biogeographic scenario proposed for the SEP, these localities belong to the Peruvian Province (PP, N=4) and to the Intermediate Area (IA, N=1). All individuals sampled were fixed in 95% alcohol and carried to the laboratory for further analysis (Table 1, Fig. 1).
Table 1 Sampling localities of Arbacia spatuligera in the Southeastern Pacific. / Localidades de muestreo de Arbacia spatuligera en el Pacífico Sudeste.

DNA PREPARATION AND SEQUENCING
Total DNA was extracted from the gonadal tissue and spines using the Quick-DNATM Miniprep Plus Kit® Zymo Research following the manufacturer's protocols. A partial sequence of COI was obtained using specific primers designed for sea urchins by Haye et al. (2014).PCR's were performed in a total volume of 25 μl which includes 4 µl of total DNA, 12.5 µl of GoTaq® GreenMastermix 1X, 6.5 µl of ultrapure water and 1 µl of each primer at 10 pmol. Cycling conditions initially consisted in denaturation at 94ºC (during 10 min), followed by 35 cycles of denaturation at 94ºC (40s), 58ºC (40s) and 72°C (60s), and a 10 min of final extension at 72º C. PCR products were purified using QIAquick Gel Extraction Kit (QIAGEN) and then automatically sequenced (Macrogen Inc.) Sequences were edited and aligned using Proseq version 3.5 (Filatov 2009), and translated to amino acids to check the presence of pseudogenes and/or sequencing errors with MEGA 6.0 (Tamura et al. 2013). All new sequences of A. spatuligera are available at Genbank (access codes MK382495 - MK382634).
GENETIC ANALYSES
Diversity indexes
Standard diversity indices such as number of haplotypes (H), number of polymorphic sites (S), haplotype diversity (Hd), mean number of pairwise differences (k) as well as nucleotide diversity (π), were estimated for each group (PP and IA) using software DnaSP 5.0 (Librado & Rosas 2009). The genealogical reconstructions from intraspecific data were represented through haplotype network using the media-joining algorithm (MJ) (Saitou & Nei 1987; Bandelt et al. 1999) implemented in the PopART software (Leigh & Bryant 2015).
Genetic structure
To describe the genetic structure of A. spatuligera, FST (haplotypes frequencies) were calculated among groups (PP and IA). Significance of FST values was based on 10000 permutations. Additionally, to detect geographical structure among groups an Analysis of Molecular Variance (AMOVA, Dupanloup et al. 2002) was performed. In a hierarchical analysis of genetic variation, the genetic structure was divided into three components: Fst (genetic structure among all the populations), Fsc (genetic structure within PP and IA) and Fct (genetic structure between PP and IA), estimated trough the number of differences between haplotypes by biogeographic provinces. Both analysis were performed in Arlequin 3.5 (Excoffier & Lischer 2010).
In addition, the migration pattern was determined by analyzing the genetic relationships based on coalescent theory. The immigration rates (in each direction) between groups were estimated to evaluate gene flow between them using Bayesian inference implemented at MIGRATE-n version 3.2.17 software (Beerli 2011). We compared the default model of asymmetric migration rates with a panmictic model of symmetric migration rates through Bayes Factor (Kass & Raftery 1995), to determine which model provided the best fit for the data. Using a uniform distribution as a prior and the unique default model F84 (nucleotidic sustitution model), a posteriori probability distribution of parameters Θ = x × Ne × u (where, x: ploid and inheritance of the data, Ne: population effective size, μ mutation rate by site by generation) and M = m/μ (m is the rate of immigrants divided by μ, and M is a measure of how much more important immigration is in relation to the mutation to bring new variants at the population) were estimated. By the multiplication of these parameters (Θ × M) the number of immigrants per generation was obtained (x × Ne × m, Beerli 2011). Long Markov chain Monte Carlo (MCMC) with 5 iterations based on 50000 steps recorded in 100 increments (cycles), runs with different static temperatures (1.0, 1.5, 4.0 and 5) were used, shaping a landscape defined by the probability of 25000000 visited genealogies, where the first 10% of those genealogies were discarded because they did not reach the convergence zone in the maximum likelihood values on the runs of MCMC (Pardo-Gandarillas 2012).
Demographic inference
Tajima's D and Fu's Fs indices and their corresponding p-values were calculated to detect deviation from Wright- Fisher mutation-drift equilibrium caused by population expansions, bottlenecks or selection events registered in the past, under neutrality hypotheses (Tajima 1989; Fu 1997) using Arlequin 3.5 (Excoffier & Lischer 2010). In addition, a mismatch distribution was constructed and compared with a unimodal distribution expected under an instant population growth model (Rogers & Harpending 1992) using DNAsp 5.1 (Librado & Rozas 2009).
To further assess on the demographic history of A. spatuligera, the time from the demographic expansion under the sudden expansion model (Schneider & Excoffier 1999) was estimated using the formula ᴛ = 2ut, where the parameter ᴛ is an estimate of time after the expansion in mutational units, obtained in Arlequin, and u is the substitution rate by lineage (u = 2μk; μ = mutation rate, k = nucleotide length of the fragment analyzed). To estimate a period of time, we used two substitution rates for COI sequences: 0.51% by Ma and 0.72% by Ma (Lee et al. 2004). These rates were amplified 10 times (5.1% and 7.2%), considering the time-dependence correction related to molecular rates at population level proposed by Ho et al. (2005).
RESULTS
DIVERSITY INDEXES
A data set that includes 140 sequences with an extension of 630 bp was obtained for A. spatuligera. We observe low levels of genetic diversity across the SEP, with 78 polymorphic sites that represent 25 haplotypes (Table 2).
The genealogical relationships obtained through the Median-Joining Network showed a star-like pattern; a central high frequency haplotype (H1) from which low frequency or unique haplotypes emerge, separated by one or two mutational steps (Fig. 2). Haplotype H1 was the most common and widely distributed geographically along the SEP, represented by 114 of the 140 individuals (81.5%). At a lower frequency (1.4%), H3 was shared and represented by a single individual in each location. In a biogeographic scenario, 19 haplotypes were exclusive to the PP and 4 to the IA, all at a low frequency and present in a single individual, except H7 that was present in 2 PP individuals.
Table 2 Estimated diversity indexes for A. spatuligera groups. / Índices de diversidad estimados por grupos para A. spatuligera.

N, number of individuals per groups; S, number of polymorphic sites; H, number of haplotypes; Hd, haplotype diversity; k, mean pairwise differences; п, nucleotide diversity. / N, Número de individuos por grupo; S, Sitios Polimórficos; H, Número de Haplotipos; Hd, Diversidad Haplotípica; k, Número promedio de diferencias entre pares de secuencias; п, Diversidad Nucleotídica.
GENETIC STRUCTURE
Fst showed low and no significant values (Fst = -0.01365, p-value = 0.9789). In concordance, AMOVA performed between PP and IA, indicated an absence of genetic structure (99% of the variation was within populations) (Table 3).
Table 3 AMOVA estimated fixation indexes for Arbacia spatuligera through the SEP. / Estimación de índices de fijación obtenidos a través de un AMOVA para Arbacia spatuligera a lo largo del PSE.

Regarding the comparison between the asymmetric and symmetric migration models, the respective log marginal likelihoods were -1621.760124 and -1627.166031. Using the guidelines of Kass & Raftery (1995), our result was greater than 2 (LBF = 10.811814), which indicates that our data better fit the asymmetric model. This model showed that the number of migrants estimated per generation in time, through Bayesian analyses between PP and IA, is higher towards the north (14 migrants from IA to PP per generation) (Table 4).
Table 4 Number of migrants per generation (x ×Ne× m) of Arbacia spatuligera between provinces IA and PP of the SEP, obteined from the multiplication of the a posteriori values of the distribution of parameters Θ and M. / Número de migrantes por generación (x ×Ne× m) para Arbacia spatuligera entre las provincias IA y PP del PSE, obtenidos a partir de la multiplicación de los valores a posteriori de la distribución de los parámetros Θ y M.

DEMOGRAPHIC INFERENCE
Tajima's D neutrality tests values were negative and significant, indicating an excess of low frequency polymorphisms, and suggest a recent demographic expansion of A. spatuligera. Fu's Fs values were negative but non-significant (Table 5). The distribution of pairwise differences among sequences was L-shaped (Fig. 3). The mismatch distribution did not differ from expected sudden growth-decline model (Raggedness, r = 0.2625; p < 0.05), as a signal of recent demographic expansion. According to the growth model and estimated from parameters obtained for A. spatuligera (Tau = 2ut: 3), and two mutation rates (5.1% y 7.2% per Mya), sudden expansion time was estimated ca. 47.000-33.000 years ago, during the Quaternary.
DISCUSSION
The high gene flow proposed for species with a high dispersal capability among their populations (Shanks et al. 2003), helps to diminish the effect of genetic drift (the main way to lose genetic diversity) and homogenizes high levels of genetic diversity (i.e.Hedgecock 1986; Bohonak 1999; Kyle & Boulding 2000; Lee & Boulding 2009; Haye et al. 2014). Contrary to what was expected under the “connectivity paradigm”, we found an unexpectedly low genetic diversity for A. spatuligera in the SEP. The low genetic diversity found can be due to: i) the smaller larval dispersal period of A. spatuligera (~1 month) in comparison to other invertebrates (e.g., Tetrapygus niger and Concholepas concholepas with ~3 months, Haye et al. 2014; Cárdenas et al. 2009) or, ii) Other processes, such as genetic bottlenecks, that reduces the effective population size and makes the genetic drift more intense. Although our results suggest a recent demographic expansion, it is possible that A. spatuligera larvae are experiencing a lower rate of swimming and non-swimming larvae settlement due to the changing climate (Aiken et al. 2011), or even, could be inhabiting a suboptimal place at a physiological or ecological level, which would maintain a low effective size so, the gene flow detected does not manage to recover genetic diversity (Bohonak 1999).
The observed star-like haplotype network for A. spatuligera reflects a genealogy pattern consistent with populations that have undergone a recent population expansion after a bottleneck (Slatkin & Hudson 1991). Haye et al. (2014) report a similar network patterns for the crustaceans Emerita analoga and Petrolisthes violaceus and the echinoderms Heliaster helianthus and Tetrapygus niger, proposing that the dispersal potential is a key factor for the phylogeographic patterns found in the SEP, giving two main explanations for these patterns. The first one is that dispersal potential is a robust predictor of genetic structure for the SEP coastline and can be used as a proxy for connectivity in this area. The second one is that low potential dispersers show genetic signatures of historical barriers and events, and high potential dispersers show genetic signatures of recent barriers or events. According to this, A. spatuligera shows all the signatures of a high disperser.
The absence of genetic structure across ca. 3.200 km of coast, which includes a biogeographic break documented at ~30°S, found for A. spatuligera is opposed to the relation between biogeographic barriers and phylogeographic breaks proposed by Avise (2000). This absence of genetic structure reflects a high connectivity, supported by the migration analysis that indicates a higher flow towards the PP, which also could be related to the influence of the HCS, according to the fundamental role that oceanic currents have over gene flow and dispersal potential (Cowen et al. 2000; Gaylord & Gaines 2000). Both factors, dispersal potential and oceanic currents, explain the absence of genetic structure in some barnacles, gastropods and echinoderms (Wares & Cunningham 2001; White et al. 2010). In the SEP the HCS is divided into three arms: the equatorward Chilean Coastal Current (CCC); the ~100-300 km offshore poleward Peru-Chile Countercurrent (PCC); and the equatorward Oceanic Chile-Peru Current (OCPC) (Penven et al. 2005; Thiel et al. 2007). Camus (2001) argues that these currents are responsible for the SEP biogeography and are the main reason for the IA biota's mixed character. We propose that the CCC and OCPC and their respective equatorward 0.2 ms-1 and 0.15 ms-1 flow (Marín & Delgado 2007; Fuenzalida et al. 2008), behave as a dispersal enhancer to the pelagic larval phase of A. spatuligera.
Demographic inferences observed in A. spatuligera are concordant with a scenario of recent population expansion after a bottleneck or founder effect (Slatkin & Hudson 1991). Bottlenecks affect population's effective size (Ne) by reducing it, inducing stronger genetic drift effects over them, therefore losing genetic diversity (Kyle & Boulding 2000; Lee & Boulding 2009; Ibáñez et al. 2011; Haye et al. 2014). In A. spatuligera, the recent population expansion and/ or low mutation rates have not yet allowed this species to increase genetic diversity. Marine pelagic ecosystem species reflect genetic signals from persistent processes through larger time scales (Janko et al. 2007), contrary to coastal species that show genetic signals of recent events such as the LGM (Wares & Cunningham 2001). In the SEP, the 30°S biogeographic break could be a historical break with no influence over high-dispersal potential species (Cárdenas et al. 2009; Ibáñez et al. 2011; Haye et al. 2014). The recent date of demographic expansion estimated for A. spatuligera (33 - 47 Ka), although speculative, is interesting due to its coincidence with the last glacial period during a phase called the Marine Isotope Stage 3 (MIS3, ~60-30 cal ka BP). MIS3 is characterized by particular glacio-climatic events that caused rapid ocean climate variability (Zumaque et al. 2012). Climatic phases known as the Dansgaard-Oeschger cycles (i.e.Bond et al. 1993; Dansgaard et al. 1993) are recognized especially during the MIS3 and correspond to oscillations between warm (GIs for Greenland Interstadials) and cold (GSs for Greenland Stadials) climatic phases. In turn, these cycles are punctuated by abrupt events, called Heinrich Events (HEs) that correspond to some of the DO coldest phases (Zumaque et al. 2012). Among the HEs, the HEs3 and HEs4 could help explain our results, dated at 30 and ~40 Ka respectively (Rabassa & Ponce 2013). One of the main process that can arise from the abrupt cooling event, for shallow benthic species of a narrow continental shelf of the PSE (such as A. spatuligera), is the loss of habitat due to the decrease in the global sea level. Lambeck & Chappell (2001) and Chappell (2002), proposed rapid decrease in sea level to ~120 meters, about ~30 Ka, at the end of MIS3.
CONCLUSIONS
According to our results, A. spatuligera is a species with no evidence of genetic structure along the SEP, despite the biogeographic break described at 30°S, and with a low genetic diversity. The absence of genetic structure and the role of HCS as a dispersal enhancer lead us to propose that A. spatuligera qualifies as a high disperser species, and its demographic history also reflects a response pattern to more recent climatic events. Our results support the proposed hypothesis related that phylogeographic patterns of organisms inhabiting the SEP are strongly influenced by their dispersal potential, being a useful proxy for genetic structure. However, because of the unexpectedly low genetic diversity found, more detailed analyses are needed for a complete understanding of the processes involved in evolutionary history of A. spatuligera.