The genetic structure of Squalidus multimaculatus revealing the historical pattern of serial colonization on the tip of East Asian continent

Separated river systems could create confluences via two geological processes, estuary coalescence in response to decreasing sea levels and headwater capture, allowing primary freshwater species to disperse across rivers. Squalidus multimaculatus, is an endemic and primary freshwater species restricted to the southeast coast of the Korean Peninsula. The distribution of this species is unique, given that other congeneric species, including its closely related S. gracilis majimae, as well as other cyprind species are observed throughout the peninsula except for the east coast. Phylogeographic analyses were conducted using three mitochondrial loci to identify the origin of S. multimaculatus and the historical pathways of dispersal. A strong phylogenetic affinity between S. multimaculatus and S. g. majimae and the genetic structure among populations indicated that S. multimaculatus originated from the eastward colonization of the common ancestor between S. g. majimae and S. multimaculatus via headwater capture through fault zones within successive mountain range. Following colonization, the ancestral S. multimaculatus likely migrated towards north via estuary coalescence along a well-developed continental shelf. Our study was the first empirical attempt providing insights into how freshwater organisms dispersed to the southernmost tip of East Asia, despite the potential loss of such historical imprints with anthropogenic interference.

In freshwater ecosystems, primary freshwater fish species cannot naturally move to other physically separated drainages, and landscape structures may even become barriers within a single drainage, limiting gene flow among populations 1,2 . Because of this fragmented nature, freshwater ecosystems can provide exceptional opportunities for analysis of the contribution of physical isolation to intraspecific genetic structure 1,3,4 . By combining the genetic data of intraspecific population structures with information regarding historical drainage structures and geological events, it is possible to infer how a freshwater species or its ancestor have dispersed across rivers shaping the present distribution 2,4-6 .
With time, separated river systems could create confluences via two representative geological processes, allowing freshwater species to disperse across rivers that are not currently connected 7,8 . First, the estuary regions of adjacent rivers were often connected in response to decreasing sea levels during the Quaternary period (estuary coalescence) [9][10][11] , though connections could rather rarely occur between rivers that did not share the same well-developed continental shelf 12,13 . This geological phenomenon seems to have occurred in regions with wide continental shelves, where rivers in geographical proximity are likely to share estuaries 8,10,14 . Second, the uppermost region of a river may be diverted from its own bed and merged with the headwater of other adjacent rivers (headwater capture) 11,15,16 . Although headwater capture is still observable with watershed erosion in a specific condition 17 , it is a geological phenomenon that frequently occurred via strong tectonic deformation along fault zones [17][18][19] .
The Korean Peninsula is a small area located at the end of the East Asian continent (Fig. 1). The Yellow Sea, located between the peninsula and western China (Fig. 1), was part of the Yellow River, a major river system flowing east through China, when the sea level was lower than at present during the last glacial maximum (LGM) 6,20,21 . The Yellow Sea probably created confluences with the present-day major river systems along the south and west coast on the Korean Peninsula [21][22][23] . Conversely, the east coast of this peninsula is geographically isolated by successive mountain ranges (Fig. 1); accordingly, the freshwater ecosystems on the east coast likely had confluences with a different large drainage system (i.e., the Paleo-Amur River) 24,25 . Despite the landscape isolation, the freshwater ecosystems along the southern east coast might have historically been coalesced with the Paleo-Yellow Sea 9,21,25,26 . However, no empirical approach has been conducted to date to reconstruct colonization processes around this area.
The spotted-barbel gudgeon, Squalidus multimaculatus, is an endemic freshwater species (Cyprinidae) restricted to the southern east coast of the Korean Peninsula 25,27 . The distribution of this species is somewhat unique, given that other congeneric species (S. gracilis majimae, S. chankaensis tsuchigae and S. japonicus coreanus) are observed in most freshwater systems throughout the peninsula except for the east coast 25,27 . Among these congeneric species, S. g. majimae is morphologically and genetically close to S. multimaculatus 28 . Thus, it is conceivable that S. multimaculatus originated from the migration of the common ancestor of S. multimaculatus and S. g. majimae individuals inhabiting the drainage areas close to the east coast such as the Nakdong River, the longest river flowing to the south coast in South Korea 28 . Three hypothetical routes for this geodispersal process could be envisaged based on the geographical features on the east coast and previous studies ( Fig. 1) 16,26 . There might have been headwater confluences from the tributaries of the Han (second longest river flowing to the west coast) and Nakdong River to the Samcheok-Osip River (H1) 16 or directly to rivers on the southern east coast (H2; Fig. 1) 26,28 . The second hypothesis (H2) was established based on the existence of Yangsan Fault Zone between the Nakdong River and the southern east coast and its tectonic history. Considering the geographic proximity, the mouths of the Nakdong River (or adjacent small streams) and southernmost east coastal rivers likely coalesced following the Quaternary climate changes (H3; Fig. 1), though this hypothesis has yet to be validated empirically.
In this study, three mitochondrial loci were used to analyze the phylogenetic relationship among the populations of S. multimaculatus and S. g. majimae (Supplementary Table S1). In addition, divergence ages among phylogenetic groups of S. multimaculatus and S. g. majimae were estimated for comparison with the history of geological changes in the landscape structures isolating the east coast. These analyses could allow us to identify the most valid one among the three biogeographic routes presented above for the colonization of S. multimaculatus. These data were also used to reconstruct the historical migration pattern of S. multimaculatus following its colonization within the east coast by analyzing the demographic histories of the phylogenetic groups. Although The distribution range of Squalidus multimaculatus (red-colored areas) and S. gracilis majimae (major river systems flowing the south and west coasts). The collection sites of S. multimaculatus (yellow circles) and S. g. majimae (green stars) are shown in the squares positioned on the right and middle top (see Table S1 for the detailed information). Arrows indicate the three hypothetical routes (H1, H2 and H3) 16,26,28 of ancestral S. multimaculatus through successive mountain range (BD: Baekdudaegan; NJ: Nakdongjeongmaek). The map was generated by Adobe Illustrator CC 2015 using a GIS shape file retrieved from GADM database (www.gadm. org; v 2.5; freely available for non-commercial purposes) in DIVA GIS (http://www.diva-gis.org/) and modified in QGIS v 2.16.3 in accordance with the guidelines suggested in the websites.
Scientific REPORTS | (2018) 8:10629 | DOI:10.1038/s41598-018-28340-x this study is a biogeographic investigation of a single species, our results are anticipated to provide critical insight into the historical pattern of drainage formation and freshwater dispersal on the tip of East Asian continent.
All three algorithms (NJ, ML and BI) generated highly concordant tree topologies in the phylogenetic analysis reconstructed based on cyt b sequences ( Supplementary Fig. S2). S. g. majimae haplotypes (SG) were resolved as the most likely sister group of S. multimaculatus, and Japanese S. gracilis was placed as the sister to the cluster of S. g. majimae and S. multimaculatus ( Supplementary Fig. S2). Two other congeneric species inhabiting the Korean Peninsula, S. japonicus coreanus and S. chankaensis tsuchige, were somewhat separated from S. g. majimae and S. multimaculatus in the tree ( Supplementary Fig. S2). Haplotypes of S. multimaculatus were likely to be allocated into three haplogroups, though the distinction of ME and NE was not clear in the ML and BI trees ( Supplementary  Fig. S2). The name of haplogroups were assigned as NE (northeast), ME (mid-east) and SE (southeast) in accordance with the geographic regions in which they were predominantly observed (Supplementary Tables S2-S5), which was also supported by the result of AMOVA (Tables S6). The ME and NE haplogroups formed a cluster, while SE was placed as a sister to that cluster ( Supplementary Fig. S2). In the phylogenetic tree analysis using the other two loci (COI and 12S), the haplogroup SE was clearly isolated from others, but the distinction between ME and NE was somewhat difficult (Supplementary Figs S3-S4). The divergence between S. g. majimae and S. multimaculatus was estimated to be 1.83 (95% HPD 0.31-2.37) MYA (Fig. 2). Within S. multimaculatus, age estimates of 0.59 (95% HPD 0.38-0.81) MYA and 0.31 (95% HPD 0.19-0.45) MYA were allocated to the nodes leading to the separation of haplogroup SE and the divergence between NE and ME, respectively (Fig. 2). Our analysis of ancestral area reconstruction (BBM) showed that the common ancestor of both S. g. majimae and S. multimaculatus was inferred to be distributed in the southwestern Korean Peninsula and that the common ancestor of S. multimaculatus colonized in SE region for the first time before dispersion (Fig. 2).
Based on our NJ analysis results, each population was included in a single haplogroup. Six northern populations (MP, PN, BR, CS, YO and GG; NE region) only contained NE haplotypes in the three loci, except that a single SE haplotype of cyt b and a few haplotypes of S. g. majimae were found in population YO (Supplementary  Tables S2-S5). Population HS (mid-east region) contained haplotypes allocated to haplogroup ME, whereas SE haplotypes were predominantly found in populations TH and HY (southeast region), though one ME haplotype in both COI and cyt b was found in population TH (Supplementary Tables S2-S5). Population DJ contained haplotypes that could be allocated to haplogroup NE, despite its geographical proximity to populations HS and TH (Supplementary Tables S2-S5). The haplotype composition in population JA was somewhat complicated because the haplotypes of ME and S. g. majimae coexisted (Supplementary Tables S2-S5). Analysis of RAG1 sequences (1,455 bp) based on the double peak calling of both species specific nucleotides revealed that twelve individuals in population JA and three individuals in population YO were hybrids of S. multimaculatus and S. g. majimae (Supplementary Tables S2-S5; Fig. S1).
The presence of three haplogroups was also evident upon network analysis with the combined datasets of the three mitochondrial loci (Fig. 3). In this analysis, haplogroups NE and ME were genetically close to each other, similar to the results of phylogenetic tree analyses, whereas haplogroup SE appeared to be closer to the haplotypes of S. g. majimae than the other two haplogroups (Fig. 3), indicating that the first founder of S. multimaculatus likely colonized the SE region. Network analysis with cyt b revealed a similar pattern of separation among the three haplogroups ( Supplementary Fig. S5). However, the separation of haplogroup SE was only observed upon analysis with 12S. In addition, no noticeable separation was observed upon analysis with COI, despite a slight difference between NE and ME ( Supplementary Fig. S5).
The intra-population genetic diversity was estimated and compared based on the combined dataset of three mitochondrial loci (Table 1; see also Supplementary Tables S7-S9). Populations YO (NE), HS (ME) and TH (SE) exhibited the highest level of genetic diversity among S. multimaculatus populations ( Table 1). The remaining NE populations (MP, PN, BR, CS, GG and DJ) showed low intra-population genetic diversities ( Table 1). The genetic diversity of population HY (SE) was also relatively low (Table 1). A moderate level of diversity was observed in population JA (Table 1). For S. g. majimae, population GH was higher than that of YA (Table 1).
Neutrality tests revealed that haplogroups NE and SE had significant negative Fu's Fs and Tajima's D values (Table 2; see also Supplementary Tables S10-S12), indicating the signature of demographic expansion in the sizes of those haplogroups following diversification and colonization. The Tajima's D and Fu's Fs values of haplogroup ME were negative but not significant; thus, the neutrality model could not be rejected (Table 2; see also Supplementary Tables S10-S12). Upon mismatch analyses, haplogroups NE and SE showed a clearly unimodal pattern, confirming the results based on the estimation using the Fu's Fs and Tajima's D values (Fig. 4). A bimodal shape was exhibited in haplogroup ME, indicating that its size has been relatively stationary since colonization (Fig. 4). Our Bayesian skyline plot analyses showed that the effective population sizes of haplogroups NE and ME increased by about 100 KYA (Fig. 4). Haplogroup SE underwent gradual decline in population size and subsequent rapid increase at about 20 KYA.

Discussion
In our phylogentic analyses, Squalidus gracilis majimae was resolved to be the closest sister to S. multimaculatus. Although our analysis does not take into account extinct taxa, when solely comparing all of the existing species in Squalidus, it is conceivable that S. multimaculatus on the east coast originated from colonization by individuals of S. g. majimae or its derived populations. The results of our haplotype network and phylogenetic analyses showed that S. multimaculatus populations could be divided into three major haplogroups, NE, ME and SE. The NE and ME haplogroups closely clustered with each other, while SE was rather separated, but showed relatively higher affinity to S. g. majimae. These results, combined with past geological changes, could provide the basis for verifying which of the three hypothetical dispersal paths described in view of existing literatures and geographical environment is most plausible.
The first hypothetical route was established based on the possibility of migration from the major freshwater systems on the Korean Peninsula (south and west) to the Samcheok-Osip River on the east coast by headwater capture 16,29 . Since the Samcheok-Osip River is located somewhat northward of the known natural distribution range of S. multimaculatus (from PN to JA), it is unreasonable to regard this river as a starting point for colonization. Although S. multimaculatus individuals were observed in the Samcheok-Osip River as well as several other northern rivers (including population MP) in our field investigations and previous studies [30][31][32] , those individuals probably existed because of artificial transplanting given that the presence of this species has never been known until a few decades ago, despite intensive field investigations 29,30,33 . Furthermore, considering the results of our phylogenetic tree analyses that showed NE and ME were clustered together and SE was placed as a sister group, it is difficult to explain how this species could spread towards southern east coastal rivers.  The second hypothetical route was established based on the fact that the Yangsan Fault Zone between the Nakdong River and rivers along the southern east coast has undergone active crustal fluctuations [34][35][36] , and two freshwater systems (the Nakdong River and southern east coastal rivers) were likely to have fused together during the geological changes (Fig. 5). In this fault zone, the strongest activities occurred about 1 million years ago [34][35][36] , which is the same time at which S. g. majimae and S. multimaculatus were estimated to have diverged in our analyses. The haplotypes of populations TH and HY (SE) exhibited the highest affinity to the haplotypes observed in S. g. majimae in our haplotype network analyses, indicating that ancestral S. multimaculatus founders colonized the SE region for the first time in the east coast. As shown in the phylogenetic clustering pattern, it is conceivable that S. multimaculatus individuals naturally migrated north from this point. This second hypothesis can also be supported by the fact that species inhabiting the Nakdong River, such as Cobitis hankugensis (Cobitidae), Iksookimia longicorpa (Cobitidae) and Liobagrus sp. (Liobagridae), are also present in SE regional rivers [37][38][39] . Although it is known that a historical migration occurred between the Hyeongsan River (population HS) and the Nakdong River through the Yangsan Fault 40 , our data did not verify this possibility.
In SE, the genetic diversity of population TH was much higher than that of HY, presumably indicating that this species (or its common ancestor) first colonized the Taehwa River (TH; Fig. 5) and then moved to the Hoeya River (HY), though the contemporary diversity estimates may not represent the past demographics. The mouths of the two rivers are geographically adjacent, and they were likely occasionally linked during the sea level fluctuation in the last glacial maxima (Fig. 5) [41][42][43][44] . This inference is also supported by the ichthyofaunal similarity between the two rivers 38,45 . Our EBSP results indicated that the dispersal within the SE region was most active around the late Pleistocene (20 KYA), because sudden demographic growth was noticeable during this period,   Fig. 1 for the details about how to generate the map.
following the gradual decline since 200 KYA. How could S. multimaculatus that colonized the SE region disperse to the river in the north? Headwater capture has also likely contributed to the migration of S. multimaculatus founders to the Hyeongsan River (population HS). The Ulsan Fault Zone is located between the Hyeongsan River and the Taehwa River (population TH), and the watersheds of both rivers are in geographical proximity (Fig. 5). The divergence time of haplogroup ME and NE from SE was estimated to be 430 KYA in our analyses, which completely coincides with the active period of this fault 35,46 . Taken together, these findings indicate that the headwater capture between those two rivers was a starting point of northward dispersal of S. multimaculatus.
Population HS exhibited an exceptionally high level of diversity in all three loci examined. In addition, haplogroup ME did not show any demographic decline or sudden fluctuations in our EBSP results. This was probably related to the physical habitat in the area inhabited by this population. Although most east coastal rivers are small and subject to weather-sensitive physical changes, even during a short-term period, the Hyeongsan River is large, conceivably providing stable and wide habitats that maintain a large-sized population. Since there is no fault zone from the Hyeongsan River towards the north, headwater capture might not have contributed to colonization in the NE region. Instead, there is a well-developed continental shelf, that is likely to have served as a place for the coalescence among river mouths. The historical northward migration from ME to NE is supported by the finding that natural populations of Iksookimia yongdokensis (Cobitidae) are observed in both the ME and NE region, but not the SE region 25 .
The third hypothetical route was made by the assumption that frequent estuary coalescence between south coastal rivers (including the Nakdong River) and southern east coastal rivers probably contributed to the migration of freshwater species. If this assumption is correct, the Jangan River (population JA; ME), which is located where the south and east coast meet, might have served as a bridge for the historical colonization of S. multimaculatus to the east coast. However, our results did not provide any evidence supporting such an assumption. The population JA did not exhibit the highest genetic affinity to population HY (in the Hoeya River; SE), located in the immediate north, but was closer to population HS (Hyeongsan River; ME). As discussed below, haplogroup ME did not show the highest genetic affinity to S. g. majimae. In addition to our results, we made an effort to find evidence of water connection around this area. No geological evidence has been known about the connection, for example between the Jangan River and any from SE region. Since the headwaters are not geographically adjacent around this area, the possible water connection might be the estuary coalescence responding to sea level fluctuation. However, the continental shelf on the coast is too narrow to imagine the effect of sea level change. Except for S. multimaculatus, there was no ichthyofaunal commonality between the Janan River and SE rivers.  In our analyses, several populations showed quite unexpected genetic characteristics. First, population DJ was part of haplogroup NE in our analyses, despite its geographical proximity to SE or ME populations, which cannot be explained solely based on the biogeographical inference. This may be the results of artificial introduction, though this prediction should be examined by empirical studies in the future. Second, as already mentioned, MP was also considered to be created by artificial introduction. In the Myeongpa River (MP), there are several cyprinid species that were not observed in other adjacent rivers, including Zacco platypus, Z. koreanus and Aphyocypris chinensis, indicating that some massive introduction might have occured 31,32 . However, the results of this study do not clearly indicate NE rivers from which this population originated. In particular, two cyt b gene haplotypes, NE04 and NE06, observed in population MP were not present in any of the NE populations analyzed in the present study, indicating the possibility of transplantation from the river(s) that was (were) not analyzed in this study.
Population JA contained the haplotypes of both S. multimaculatus and S. g. majimae. Where did the individuals of this population come from? S. multimaculatus haplotypes in this population most likely originated from population HS. Only a single ME haplotype was observed, indicating that a small number of individuals were introduced to this population probably from the population HS. A single SE haplotype was also observed in this population, which may be the evidence of additional introductions from SE regional rivers, though the possibility of natural existence could also be regarded. However, the haplotype diversity of S. g. majimae was somewhat higher than that expected to be formed by artificial introduction of a small number of individuals. Therefore, it is conceivable that S. g. majimae individuals might have existed naturally prior to the introduction of S. multimaculatus in this river. In addition, some S. g. majimae haplotypes in this population were not observed in two populations from the Nakdong River, indicating the possibility of introduction from other river(s). However, caution is needed when drawing conclusions regarding the historical origins of this population, because sampling has not been performed throughout the Nakdong River. A low frequency of S. g. majimae haplotypes was also observed in the population JA, indicating that a small number of S. g. majimae individuals were introduced in this population. Examination with the nuclear marker (RAG1) showed clear evidence of active hybridization between S. g. majimae and S. multimaculatus in both populations.

Conclusion
In our genetic analyses, we inferred the route of colonization and distribution origin of a freshwater fish species at the southeast tip of East Asia, though further comparative studies are required to confirm this result. The first colonization of S. multimaculatus ancestral population likely occurred through confluence caused by headwater capture during geological changes in landscape structures. In the rivers around mid-and northern east coast regions where the continental shelf is wider than the southern part of the eastern coast, estuary coalescence could be presumed to be the main route of migration and colonization of this species. However, our study also showed the potential loss of such historical imprints that have been created over a million years because of anthropogenic interference.

Materials and Methods
Sampling and sequencing. All samples used were collected according to the Inland Water Fisheries Act and Wildlife Protection and Management Act of the Republic of Korea. The entire procedure of this study was approved by the Yeungnam University Institutional Animal Care and Use Committee (Protocol # 2015013). A total of 209 individuals of Squalidus multimaculatus were collected from 11 east coastal rivers on the Korean Peninsula ( Fig. 1; Table 1). A total of 40 individuals of S. gracilis majimae were also collected from two spots located on the Nakdong River ( Fig. 1; Table 1). Number of scales above the lateral-line was rapidly counted for all individuals collected, because this characteristic was known to be different between S. multimaculatus and S. g. majimae 25,27,28 . All individuals collected were released back to their original habitats after removing a small fragment of tissue from each caudal fin. All tissue samples were preserved in 99% ethanol until they were used for DNA extraction and further genetic analyses. Whole genomic DNA was extracted using a Wizard ® Genomic DNA Purification Kit (Promega, Madison, WI, USA).
Three mitochondrial loci, cytochrome b (cyt b), cytochrome oxidase subunit 1 (COI) and 12S rRNA (12S), were analyzed in this study (Supplementary Table S1). The nuclear RAG1 gene was also analyzed only for detection of hybrid individuals (by checking the existence of double peaks of S. multimaculatus and S. g. majimae specific nucleotides) known to occur in several S. multimaculatus populations 28 (Supplementary Fig. S1). PCR was performed in a 25 µl mixture containing 1 µl DNA template, 1× Taq  Diversity estimation. All of the haplotype sequences were deposited in GenBank (Accession number: KY486515-486635). DNA sequences analyzed for all four loci (including RAG1) were initially edited using Geneious 9.1 47 , after which they were manually checked for erroneous base calls. Multiple sequence alignments were performed using ClustalW 48,49 implemented in MEGA6 50 . Genetic diversity indices of three mitochondrial loci, including nucleotide diversity (π) 51 , number of haplotypes (h) 51 , haplotype diversity (h d ) 51 and number of segregating sites (S) 52 , were estimated using DnaSP 5.1 53 .
Phylogenetic analyses. Phylogenetic trees were generated under three different algorithms, Bayesian inference (BI), maximum likelihood (ML) and neighbor-joining (NJ). All three mitochondrial loci were used in the reconstruction of phylogenetic tree. Since the cyt b sequence is the most widely reported in fish species, however, the phylogenetic tree using key species as outgroup could only be reconstructed using this locus. The outgroup species were selected from Cyprinidae as follows: Zacco seiboldii (NC008653). Jmodeltest2 54,55 was implemented in CIPRES portal version 3.1 56 to identify the most appropriate nucleotide substitution models for BI and ML based on the Akaike information criterion (AIC) 57 . The best fitting model was found to be TIM3 + I + G.
BI analysis was conducted using MrBayes 3.2 58 implemented in the CIPRES portal. Each BI analysis consisted of two parallel runs of 80 million Markov Chain Monte Carlo (MCMC) generations with sampling every 1,000 steps. The consensus tree for each data set was generated after omitting the first 25% of sampled trees as burn-in. The node confidence in the BI tree was presented with the Bayesian posterior probabilities. The convergence and stationarity of chains were determined based on whether the effective sampling size (ESS) reached more than 200 using TRACER 1.6 59 . The ML tree was created using RAxML GUI 1.5 60 under the GTRGAMMA model with 1000 bootstrap replicates. NJ analysis was performed using MEGA6 under the Kimura 2-parameter model (K2P) 61 . Node confidence in the NJ tree was assessed based on 1,000 bootstrap replicates.
Hierarchical genetic structuring was analyzed by assessing the relative contributions of among-haplogroup, among-population and within-population components using an analysis of molecular variance (AMOVA), which was performed using Arlequin 3.5 62 . The unrooted haplotype network was initially generated for four different datasets (cyt b, COI, 12S and combined) based on the connection limit above 0.95 in probability using TCS 1.2 63 . When the link was disconnected between haplogroups, PopART 64 was applied to generate the connection.
Divergence time estimation. Divergence time estimation among phylogenetic groups was conducted in BEAST 2.3.0 65 using cyt b sequences in the CIPRES portal. The BEAST analysis was run using a strict and an uncorrelated lognormal relaxed molecular clock to examine the variation of rate across branches. Posterior distributions of parameters were estimated using 40 million MCMC generations, with samples drawn every 1,000th steps under the model chosen as the most-fit, TIM3 + I + G. The initial 10% of samples were discarded as burn-in. The analysis was conducted using a Yule speciation and a birth-death model for the tree prior to examine the sensitivity of the results to the choice of tree prior. The genus Hemibarbus was known to be a sister to Squalidus 66 and its fossil record (5 MYA) 67 was available as the calibration point to constrain the ages. This record was assigned in the form of uniform prior to provide a minimum age for the separation of Hemibarbus and Squalidus. TRACER 1.6 59 was used to confirm whether ESS exceeded 200 and the MCMC parameters of runs converged on the same Scientific REPORTS | (2018) 8:10629 | DOI:10.1038/s41598-018-28340-x stationary point with unimodal distribution. A consensus tree was generated after discarding the first 20% of trees as burn-in in TreeAnnotator 2.3.0 65 , and was visualized in FigTree 1.4.2 68 . The node credibilities of the consensus tree were evaluated by posterior probabilities. To examine dispersal scenario for S. multimaculatus, the distributional areas of common ancestor was inferred using the Bayesian binary MCMC method (BBM) 69 implemented in RASP 70 . BEAST tree was used as an input for this analysis. Six areas are assigned based on the distributional area of the species used in the BEAST tree: (A) China; (B) Korean Peninsula excluding east coastal rivers; (C) the Taehwa and Hoeya River; (D) the Hyeongsan River; (E) the Myeongpa, Pyeonghae-Namdae, Baegrok, Chuksan, Youngdeok-Osip and Gokgang River; (F) Japan.
Demographic history. Historical demographic changes of phylogenetic groups were examined based on Tajima's D 71,72 , Fu's Fs 73 , mismatch distribution 74 and an extended Bayesian skyline plot (EBSP) 75 . Tajima's D and Fu's Fs were quantified using Arlequin 3.5 62 by coalescent simulations under the infinite-sites model. The mismatch distribution for each phylogenetic group was analyzed to examine the possibility of sudden population expansion 76 in Arlequin. Finally, EBSP were generated independently for three mitochondrial loci using BEAST 1.8.2 77 to provide evidence of the historical expansion of geographic groups. BEAST was run for 60 million MCMC generations, with sampling every 5000th tree, based on TIM3 + I + G and a strict clock model (1% pairwise divergence per million years) 78 . TRACER 1.6 59 was used to confirm whether ESS reached above 200 and the MCMC parameters of runs converged on the same stationary point with unimodal distribution.