Background

Crocidura is the most speciose genus of all mammalian genera. Its 172 species occur broadly across much of Asia, Europe and Africa [1]. The highly conserved external morphologies of these species lead to their extreme taxonomic confusion [2, 3]. In China, species of Crocidura are among the most poorly understood mammals. The main challenge for taxonomy of Chinese Crocidura is the lack of available specimens. Some species and subspecies are only known from the holotypes. There are at least 19 recorded species and subspecies of Crocidura (Table 1). However, the taxonomic status and the number of species of Chinese Crocidura have changed over time (Table 1). For example, only 5 Crocidura species were recognized by Allen (1938) [4], while 8 species were listed by Honacki et al., 1982 [5]. Hutterer (1993) considered there were only 6 Crocidura species in China [6]. The current taxonomy recognizes 11 or 10 species [7, 8].

Table 1 Major classification systems of the genus Crocidura in China

Chinese white-toothed shrews span Palearctic and Oriental faunal region (Fig. 1), but there have been only a few taxonomic studies of Chinese Crocidura. For example, one comprehensive morphological study enhanced the resolution of Crocidura from South China, and 6 species (C. attenuata, C. fuliginosa, C. rapax, C. vorax, C. shantungensis and C. horsfieldii) were recognized, and C. vorax and C. rapax, usually placed as synonyms of the European C. russula, are first recognized as 2 valid species [2]. Recently, a morphological and molecular study confirmed the presence of two white-toothed shrews (C. lasiura and C. shantungensis) in Northeast China [9]. The geographical distributions and morphological distinction of C. tanakae and C. attenuata were resolved based on a large number of specimens [10]. Compared with fewer studies in China, there are extensive studies of Crocidura in Southeast Asian countries and regions, such as in Vietnam [3, 11], Malaya and Indonesia [12,13,14,15], Philippines [16, 17] and Taiwan [17,18,19], Korea and Japan [20,21,22,23]. Although these previous studies did much to improve our understanding of the evolutionary relationships and taxonomy of Crocidura in Southeast Asian and regions, they rarely sampled species in China. The molecular phylogenetic relationships and genetic diversity of Crocidura within China remains largely unexplored.

Fig. 1
figure 1

A map showing sample localities from China in this study. Different colors represent different species. The map was created by ArcGIS 10. 2 for Desktop. http://desktop.arcgis.com/zh-cn/arcmap

Genetic investigations have often revealed systematic genetic relationships, as well as many cryptic species of small mammals, which is not surprising given their limited dispersal ability and morphological conservation [24,25,26,27,28]. Cryptic species of Crocidura may still exist within this widely distributed and diverse group of shrews [29,30,31,32], especially in the Qinghai-Tibetan Plateau and the Hengduan Mountains due to the extremely complex topography and variations in habitat [33].

In the last 20 years, we have collected more than 117 Crocidura specimens during our field surveys of small mammals through China. These specimens have expanded our knowledge concerning the distribution and habitats of Crocidura, but also allow us to re-examine the taxonomy of the genus in China. Herein, we evaluate extensive samples of Crocidura derived from China using a multilocus dataset and coalescent-based phylogenetic/species delimitation approaches. Our goals are (i) to determine if the diversity of Chinese Crocidura has been underestimated, (ii) to assess the phylogenetic relationships among these species, and (iii) to explore the evolutionary history of Crocidura in China.

Results

Sequence characteristics

We obtained 117 new cytb sequences [1, 134 bp], 55 APOB [522 bp], 55 BRCA1 [793 bp] and 55 RAG1 [855 bp] sequences (Table 2). No stop codon was observed in the coding regions of the protein-coding genes. The mitochondrial genes showed relatively more genetic polymorphism when compared with the three nuclear genes (Additional file 1: Table S1). Newly generated sequences were deposited in GenBank (MN690740-MN691036; Additional file 3: Table S3).

Table 2 Information of samples used from China in this study

Phylogenetic analyses and molecular divergence times

The phylogenies estimated by RAxML and BEAST were similar to each other for the first three molecular datasets (mtDNA, nDNA and mtDNA+ nDNA), and only the Bayesian Inference (BI) gene trees are shown (Fig. 2abc). In the BI and maximum likelihood (ML) trees, two well-supported major monophyletic groups were recovered from the first three molecular datasets (Fig. 2abc). One group was made up of C. shantungensis, C. suaveolens and C. sp.1 from Zada County of Tibet (Western China) and was strongly determined in all analyses (PP = 1.0, BS = 100). In the other group, phylogenetic relationships among species were not fully resolved (Fig. 2abc). Crocidura dracula was divided into two well-supported subclades. One subclade was from Motuo County of Tibet (C. sp. 3), and another subclade was from Yunnan and Sichuan (C. dracula) (Fig. 2abc). Crocidura rapax and C. wuchihensis appeared polyphyletic species. Subspecies Crocidura r. kurodai from Taiwan and C. r. rapax from Chongqing and Guizhou did not form a monophyletic clade, as did C. wuchihensis from Hainan (C. wuchihensis_HN) and C. wuchihensis from Guangxi and Vietnam (C. wuchihensis_GX) (Fig. 2abc). Several sister-species relationships were also revealed, such as C. attenuata and C. r. rapax, Crocidura dracula and C. sp. 3 (Fig. 2abc). Notably, an undescribed species (C. sp. 2) from Hongjiang County of Hunan Province (Central China) and Dongyang County of Zhejiang Province (Eastern China) was revealed. Its phylogenetic position has not been resolved in mtDNA and nDNA trees (Fig. 2ab).

Fig. 2
figure 2

Results of Bayesian phylogenetic trees, species delimitation using splits and BPP, and species trees reconstructed using the *BEAST model. Bayesian phylogenetic trees derived from mtDNA dataset (a); nDNA dataset (b); mtDNA + nDNA dataset (c) and coalescent-based species tree using mtDNA + nDNA dataset (d). Numbers above branches refer to Bayesian posterior probabilities, and numbers below branches refer to the bootstrap values. Different colors represent different species in accordance with the Fig. 1

Phylogenetic relationships based on dataset 1(Fig. 2a) showed some differences compared to those obtained from datasets 4 (Fig. 3). For example, China’s Crocidura species is a not monophyletic group, including some Crocidura undescribed species/species from other countries, such as C. zarudnyi from Iran, C. indochinensis, C. fuliginosa and C. zaitsevi from Vietnam, C. dsinezumi from Japan, and C. monticola, C. neglecta, C. maxi from Indonesia and Malaysia (Fig. 3). The C. fuliginosa complex was divided into three well-supported subclades, including C. sp. 3, C. dracula and C. fuliginosa. When the C. attenuata samples from Vietnam were added, the phylogenetic tree showed that C. r. rapax was embedded within C. attenuata, making the latter a paraphyletic group (Fig. 3).

Fig. 3
figure 3

Chronogram from Bayesian analysis using a relaxed molecular clock and GMYC-based species delimitation based on dataset 4. The five red asterisks represent nodes whose age was calibrated with fossil taxa. Nodes of Bayesian posterior probabilities (above line) and estimated median times of divergence (below line) are shown. The red vertical lines indicate the maximum-likelihood transition point where the branching rates switch from interspecific to intraspecific events. Some triangles on tips are represented as the same species for simplification. Abbreviations of countries: America, US; Cambodia, CB; China, CN; India, IA; Indonesia, ID; Iran, IR; Japan, JP; Korea, KR; Laos, LA; Malaysia, ML; Mexico, MX; Mongolia, MG; Philippines, PL; Russia, RS; South Africa, SA; Sri Lanka, SL; Thailand, TL; Vietnam, VN

Divergence time estimates inferred that the most recent common ancestor (MRCA) of Asian Crocidura originated in the late Miocene period (6.10 Ma, highest posterior density (HPD) interval containing 95% of the sampled values: 4.72–7.69) (Fig. 3). China’s Crocidura species began to diversify during the late Pliocene (3.66 Ma) and the Early Pleistocene (2.29 Ma), followed by a series of diversifications through the Pleistocene (Fig. 3). The C. sp. 1 diverged from C. zarudnyi approximately 1.17 Ma (95% CI: 1.93–0.58). The C. suaveolens diverged from C. aff. Suaveolens approximately 0.54 Ma (95% CI: 0.89–0.27). The C. sp. 2 diverged from C. wuchihensis_HN approximately 2.26 Ma (95% CI: 3.19–1.44). The C. sp. 3 diverged from C. fuliginosa approximately 1.04 Ma (95% CI: 1.63–0.60) and C. dracula approximately 1.93 Ma (95% CI, 2.80–1.26).

Species delimitation and species-trees

The GMYC and BPP analyses gave identical results. GMYC species delimitation analysis recognized 14 (confidence interval [CI] = 14–16) putative species based on dataset 1 (mtDNA) (Fig. 2a). When using either dataset 2 (nDNA) or dataset 3 (mtDNA + nDNA), BPP consistently supported the validity of 14 hypothetical species with high posterior probabilities (PP ≥ 0.94; Additional file 2: Table S2). When using the time-calibrated gene tree as the input tree derived from dataset 4, SPLITS suggested that clades with divergence times earlier than 0.418 Ma may have represented genetically distinct species (Fig. 3). In addition to supporting the 14 hypothetical species mentioned above, SPLITS also supported C. indochinesis, C. aff. Suaveolens and another C. attenuata population from Vietnam as a separate species (Fig. 3).

The *BEAST species-tree strongly divided species of Crocidura into two same groups as the concatenated and CYTB trees (Fig. 2ab), although the relationships within each group were not fully resolved. C. attenuata and C. r. rapax, C. dracula and C. sp. 3 were strongly supported as sister-taxa (PP = 1.0), as were C. r. kurodai and C. lasiura (PP = 1.0) (Fig. 2d).

Discussion

Mitochondrial and nuclear gene-trees discordance

Our gene-trees inferred some conflicting or poorly supported phylogenetic relationships within Chinese Crocidura, and the molecular genetic interrelationships among several species are not consistent in mtDNA and nDNA trees (Fig. 2ab). This discordance could be attributed to explosive speciation [34], incomplete lineage sorting [35] and introgression [36,37,38]. Explosive speciation (i.e., rapid radiation) offers an explanation for the discrepancy owing to the very short branches that have poor support (Fig. 2). Our time-calibrated Bayesian analysis indicates rapid cladogenesis from the late Pliocene to the Early Pleistocene (Fig. 3), when most diversification occurred. Such rapid speciation can preclude high resolution of the phylogenetic trees because informative DNA substitutions will not have time to accumulate (e.g., [39, 40]). A second explanation is that relatively recent radiation may not have provided enough time for a complete lineage sorting, further blurring the phylogenetic relationships of these species [41]. For example, there is a large genetic distance between C. sp. 2 and C. vorax and do not cluster together in mtDNA trees (Table 3), while relatively strong support for the clade C. sp. 2 + C. vorax in nDNA tree. However, distinguishing the two hypotheses will require additional nuclear loci [35, 42]. Another explanation for the discrepancy is an old introgression event, as reported in other shrews [37, 38]. For example, there is strong support for the clade C. lasuria + C. kurodai in mtDNA analysis and a small genetic distance between these two species (Table 3). However, these two species are very different and do not cluster together in nDNA trees.

Table 3 The p-distance among undescribed species/species of Crocidura based on the cytb gene

Phylogeny and rapid radiation among China’s Crocidura species

Our fine-scale sampling of Crocidura from China reveals two well-supported major groups of Crocidura (Fig. 2). Some species in the group 1 seemingly represents north-western Crocidura species, while Some species in the group 2 represents south-eastern Crocidura species in China (Fig. 2). However, the phylogenetic relationships among many species in the group 2 remain unresolved (Fig. 2). To resolve phylogenetic relationships in recent, rapid radiation group, such as Crocidura, is a challenge task. Previous phylogenetic studies of Philippine Crocidura using multilocus data also yielded many poorly supported branches [14, 43]. Fortunately, phylogenomic analyses often have the potential to resolve difficult phylogenetic relationships [44, 45]. However, using hundreds of ultraconserved elements (UCEs) and whole mitogenomes, Giarla and Esselstyn [46] could not fully resolve the phylogenetic relationships among the Philippine Crocidura based on coalescent-based approaches. Restriction site associated DNA sequencing (RADseq) is a commonly used approach for phylogeny estimation, and has been proved to be effective in solving some difficult phylogenetic relationships [45, 47, 48]. However, this RADseq could also lead to bias phylogenetic relationships when locus filtering techniques can not accurately identify homologous loci [46, 49]. Thus, to completely resolve phylogenetic relationships using rapid high-throughput sequencing technology for this recent, rapid radiation Crocidura group may be still go a long way.

According to our divergence time estimation, China Crocidura species have rapidly diversified from the late Pliocene (3.66 Ma) to the early Pleistocene (2.29 Ma), followed by a series of diversifications through the Pleistocene (Fig. 3). What factors are responsible for the rapid diversification of Chinese Crocidura distributed? We propose that climate change and rapid uplifting of the Qinghai-Tibet Plateau may have driven the diversification of Chinese Crocidura. Prevailing trends towards cooling and desiccation at the Pliocene/Pleistocene boundary [50] have led to the diversification of some taxa (e.g., [24, 26, 40]). Shrews are extremely sensitive to changes in ambient temperature and humidity, which are key factors affecting the distribution and number of shrews [51]. An arid environment will most likely serve as a barrier to their dispersal, and subsequent allopatric diversification of Chinese Crocidura. At the same time, global cooling induced habitat turnover and consequent further accelerated the diversification, and eventually lead to the formation of Crocidura species in the region [50, 52]. In addition, some geological studies also supported that rapid uplifting of the Qinghai-Tibet Plateau at 3.6 Ma, 1.8 Ma and 1.1 Ma have resulted in the diversifications of Chinese Crocidura distributed on the Tibetan plateau [53, 54].

Taxonomic implications and diversity of Crocidura in China

Our data and analyses confirm the taxonomic status of the six well-recognized species: C. shantungensis, C. dracula, C. suaveolens, C. vorax, C. lasiura, and C. tanakae (Fig. 2; Additional file 2: Table S2). The mitochondrial and nuclear gene trees resolved each species as a well-demarcated clade, with substantial genetic differences between them (Table 3). Species delimitation analyses also identified each of them as a full species (Additional file 2: Table S2).

Jameson and Jones [55] originally described C. horsfieldii kurodai. Subsequently, Jiang and Hoffmann [2] revised the genus Crocidura in southern China and placed C. tadae and C. kurodai from Taiwan as junior synonyms of C. rapax. Hutterer [1] recognized three subspecies, C. rapax tadae, C. r. kurodai, and C. r. lutaoensis following Fang and Lee [19]. This view was followed by Hoffmann and Lunde [7], and Jenkins et al. [56]. Our analyses suggested the two subspecies, C. rapax rapax and C. rapax kurodai, should be elevated to full species status based on a high level of divergence (Table 3), GMYC and BPP analyses results (Fig. 3 and Additional file 2: Table S2).

Interestingly, when the C. attenuata samples from Vietnam were addedto the analysis, the phylogenetic tree showed that C. r. rapax was embedded within C. attenuata, making the latter a paraphyletic group (Fig. 3). Although the genetic distance value between these two species is only 0.049, this distance value is greater than the genetic distance value (= 0.039) between C. kurodai and C. lasiura (Table 3). GMYC and BPP analysis strongly supported that they were two different species. We also examined a number of specimens including near type site specimens (Baoxing of Sichuan), and found that they were completely different in body size, skull size and altitude distribution (unpublished data). In addition, a C. attenuata population from Vietnam is supported as a separate species in GMYC. Therefore, a further research is needed to clarify the taxonomic status of the C. attenuata complex.

Crocidura wuchihensis was originally described in Hainan by Shou et al. [57]. Subsequently, Lunde et al. [58] identified one specimen from Vietnam as C. wuchihensis. Some specimens of Crocidura from Guangxi and Vietnam also have been referred to as C. wuchihensis [43]. Jenkins et al. [56] stated that C. wuchihensis was widely distributed across Vietnam, including the provinces Lao Cai, Ha Giang and Lang Son in the north and Ha Thinh and Quang Nam in Central Vietnam. Bannikova et al. [3] considered the distribution of C. wuchihensis to be restricted to areas east and north of the Red River. However, our analyses contradicted these assertions. Our analyses suggested that the population of C. wuchihensis_HN from Hainan and those of C. wuchihensis_GX from Guangxi and Vietnam are valid species, which implies that the true C. wuchihensis may only occur on Hainan Island. Our results call for the reappraisal of the taxonomic status of shrews previously referred to as C. wuchihensis from Guangxi and Vietnam.

Crocidura indochinesis were previously considered a subspecies of C. horsfieldii [59]. Subsequent, Lunde et al. [60] considered C. indochinesis from Ke Go Nature Reserve, Vietnam as a full species. Our GMYC analysis strongly supported it as a species. It is still unknown whether C. indochinesis is distributed in China, because we do not know if the population in southern China is the conspecific with those in Vietnam.

Crocidura suaveolens is not known in China [2]. However, Dubey et al. [61] and Bannikova et al. [62] considered C. sibirica distributed in Xinjiang province (Northwest China) as Crocidura suaveolens, based on multilocus phylogenetic data. Subsequently, specimens of C. aff. Suaveolens have been reported from southern Gansu (Northwest China) [63]. These specimens formed the sister-group of C. suaveolens in our phylogenic trees. Our GMYC analysis supported the population (C. aff. suaveolens) as a potential species (Fig. 3). In addition, Jiang and Hoffmann [2] listed C. gmelini from Central Asia, including Xinjiang in China. However, Ohdachi et al. [22] stated “It is possible that C. gmelini might be a synonym of C. sibirica (= C. suaveolens)”. All our Crocidura specimens from seven sample sites of Xinjiang in China appear to be C. suaveolens (Fig. 1). Therefore, it is necessary to sample C. gmelini to clarify the phylogenetic relationships and taxonomy between it and C. suaveolens. The occurrence of C. gmelini in China remains uncertain.

Crocidura dracula Thomas, 1912 [64] was first described from Mengzi County of Yunnan Province, China. Subsequently, the taxonomic decision was followed by Allen [4] and Ellerman and Morrison-Scott [65]. However, Jenkins [66] made C. dracula a subspecies of C. fuliginosa. Others have followed the arrangement [1, 2]. However, chromosomal and recently genetics studies suggested that C. dracula and C. fuliginosa are two different species [3, 8, 11, 29, 67]. Burgin and He [8] considered these two forms as full species. Our analyses also supported three clades of C. fuliginosa groups that represented three different species: C. dracula from Northern Vietnam and southern China, C. fuliginosa from southern Vietnam, Cambodia and Malaysia, and undescribed species (C. sp. 3) from Motuo of Xizang (West China). It is worth noting that the conspecificity of C. fuliginosa from Southern Vietnam, Cambodia and Malaysia with the type locality in Burma has still not been tested. In addition, a population was also reported as C. dracula grisescens in Zhejiang [68]. Jiang and Hoffmann [2] supposed that the population represents probably new taxon.

Our analyses also resolved another undescribed species, Crocidura sp. 1, despite only one specimen being available from Zada Coutry in Tibet. This species is closely related to the Zarudny’s rock shrew (Crocidura zarudnyi) from Iran based on the cytb gene. It is the sister-group of C. shantungensis and C. suaveolens based on nuclear genes. The condyloincisive length of the undescribed white-toothed shrew (19.55 mm; our unpublished data) is close to C. attenuata in China. Despite considerable effort, only one specimen was collected. Thus, our conclusions are therefore tentative. Additional fieldwork is needed to acquire new specimens and allow a comprehensive taxonomic and population genetic analysis. The continuous discovery of new species such as Bufo zamdaensis [69] and Laudakia papenfussi [70] shows a strong need for further exploration in the region.

Another undescribed species C. sp. 2 from Hongjiang County of Hunan and Dongyang County of Zhejiang was also strongly supported. It was not identified as any known species based on our morphological data. Genetically, it has a high level of divergence from all other members of the group (10.2–14.7%) (Table 3) and appears as a monophyletic group in the phylogenetic trees (Fig. 2; Fig. 3). Thus, the C. sp. 2 is likely another new species. Molecular analyses offer important insights, but extensive sampling, comprehensive morphological and morphometric comparisons are necessary to reach a final conclusion.

Conclusions

In the present study, we obtained sequences of Crocidura throughout their distribution in China. We reconstructed the first multilocus phylogeny for the most speciose mammalian genus from China and found cryptic diversity. We propose that the three undescribed species should be evaluated using extensive taxon sampling and comprehensive morphological and morphometric approaches. Polyphyletic C. wuchihensis appears to be composed of two putative species. Two subspecies, C. rapax rapax and C. rapax kurodai should be elevated to full species status. Climate change since the late Pliocene periods and the uplift of the Qinghai-Tibet Plateau may have resulted in the diversification and speciation of China’s Crocidura species. In short, the underestimated diversity underlines the need for a taxonomic revision of Chinese Crocidura species.

Methods

Taxon sampling and data collection

A total of 117 Crocidura shrews from 49 localities in China were collected from 1997 to 2017 (Table 2; Fig. 1). Specimens were identified based on their morphology and distributions following Jiang and Hoffmann [2], and Hoffmann and Lunde [7]. If specimens were not able to be assigned to known species, they were assigned tentative into undescribed species. All field studies and lab work were approved by the Guidelines for Care and Use of Laboratory Animals and the Ethics Committee at Sichuan Normal University (Chengdu, China). These Crocidura shrews were caught throng Sherman trap, snap trap and pitfalls (plastic buckets that were 14 cm in diameter and 20 cm in depth), and then immediately euthanized by cervical dislocation. All efforts were made to minimize potential pain and suffering. Voucher specimens were deposited in the Nature Museum of the Sichuan Academy of Forestry and Sichuan Normal University. Muscle or liver tissue was collected and preserved in 95% ethanol and subsequently stored at − 80 °C for molecular studies.

To test phylogenetic relationship and divergence time estimation between Chinese Crocidura and the Crocidura shrews from Asia (including East Asia, South Asia and Southeast Asia), we also downloaded 214 cytb sequences from 70 species/ undescribed species available in GenBank for comparison (Additional file 3: Table S3). These taxa sampling also included 26 species including representatives of subfamily Myosoricinae (Myosorex), Soricinae (Cryptotis, Otisorex, Anourosorex, Chodsigoa, Blarina) and Crocidurinae (Suncus) as several external fossil calibration points for divergence time estimation (Additional file 3: Table S3). Divergence time trees were rooted by the sequences of Uropsilus soricipes. In adittion, Sequences of Suncus murinus of the subfamily Crocidurinae were chosen as outgroup for phylogenetic relationship inferring.

DNA extraction and amplification

Total genomic DNA was extracted from muscle or liver using the phenol/proteinase K/sodium dodecyl sulfate method [71]. Given that the phylogenetic relationship of this Crocidura genus was well solved based on these four genes in the previous study [15, 29], we amplified these four genes, including the mitochondrial gene encoding cytochrome b (cytb) and nuclear gene fragments encoding Apolipoprotein B (ApoB), breast cancer susceptibility gene1 (BRCA1) and recombination activating gene 1 (RAG1).

Primer sets were taken from the literature (Additional file 4: Table S4). PCR amplifications were performed in a reaction volume mixture of 25 μl, containing 0.2 units of rTaq Polymerase (Takara, Dalian, China), 1× reaction buffer, 3 mM of MgCl2, 0.2 mM of each dNTP, 0.4 mM of each primer and approximately 100–500 ng of genomic DNA. PCR products were checked on a 1.0% agarose gel and purified using ethanol precipitation. Purified PCR products were directly sequenced using the BigDye terminator Cycle kit v3.1 (Applied Biosystems, Foster City, CA, USA) and determined with an ABI 310 analyzer (Applied Biosystems).

Phylogenetic analyses and divergence time estimation

All DNA sequences were edited with EditSeq (DNASTAR, Lasergene v7.1) as well as aligned and examined by eye in MEGA 5 [72]. We applied Bayesian inference (BI) and maximum likelihood (ML) methods to infer the phylogenetic relationships. BI analyses were performed using BEAST v1.7.5 [73]. Analyses were conducted on the following four datasets: 1) a cytb gene dataset (mtDNA); 2) a three nuclear genes combined dataset (nDNA); 3) an all gene combined dataset (mtDNA + nDNA); and 4) the same as dataset 1 but with the cytb sequences of Asian Crocidura species and outgroups downloaded from GenBank (Additional file 3: Table S3). Each BEAST analysis used partition-specific models for the four genes (cytb, ApoB, BRCA1 and RAG1). The best model of evolution for each gene was determined using jModeltest v2 [74] ranked by the Akaike Information Criterion (AIC) (Additional file 1: Table S1). BEAST analyses used unlinked substitute model, linked clock models, linked tree, a random starting tree, a birth-death process tree prior, a relaxed lognormal clock model, and the program’s default prior distributions of model parameters.

We ran each analysis for 100 million generations, and sampled every 5000th generation. TRACER v1.6 [75] was used to confirm that the effective sample sizes (ESSs) were greater than 200 and the first 10% of the generations were treated as burn-in. Posterior probabilities (PP) > 0.95 were considered to be strongly supported [76]. ML analyses used RAxML v7.2.8 [77, 78] on the CIPRES Science Gateway v3.1 (http://www.phylo.org, [79]) and the GTRGAMMA model for each gene, as recommended. The analyses used the rapid bootstrapping algorithm [78] with 500 replicates.

Missing data will mislead estimates of branch lengths and affect the estimation of the divergence time [80]. We only used cytb (dataset 4) for the divergence time estimation for Asian Crocidura species because some species have no nuclear genes sequences available in GenBank (Additional file 3: Table S3). Due to the lack of a fossil record of this Crocidura group in Asia, a fossil calibration of a molecular clock was impossible. Following Jacquet et al. [81], we used five external calibration points derived from paleontological data of Soricomorpha to estimate times of divergence for the group. (1) The split between Soricinae and Crocidurinae – Myosoricinae is estimated to have occurred about 20 Ma [51] (normal: mean = 20 Ma, standard deviation = 1). (2) The oldest recorded Myosoricinae – Crocidurinae is dated to at least 12 Ma ago [82] (lognormal: mean = 0, stdve = 1, offset = 12 Ma). (3) The oldest known Cryptotis is dated to 9 Ma ago [83] (lognormal: mean = 0, stdve = 1, offset = 9 Ma). (4) The oldest Otisorex is dated to 3.5 Ma ago [84] (lognormal: mean = 0, stdve = 1, offset = 3.5 Ma). (5) The oldest Crocidura (C. kapsominensis) is dated to 6 Ma ago [85] (lognormal: mean = 0, stdve = 1, offset = 6 Ma).

Times of divergence and their credibility intervals within Crocidura were inferred using Bayesian analysis implemented with BEAST v1.7.5 [73]. BEAST analyses used unlinked substitute model, linked clock models, linked tree, a random starting tree, a birth-death process tree prior, a relaxed lognormal clock model, and the program’s default prior distributions of model parameters. Each analysis was run for 100 million generations and sampled every 5, 000 generations. The convergence of the run was checked by implementing TRACER v1.6 and the runs were combined using the Log combiner module of BEAST with a burn-in of 10%. All fossil calibration ages were treated as lognormal distributions [86] except the divergence between Soricinae and Crocidurinae–Myosoricinae, which was used as a constraint and thus treated as a normal distribution [30, 81, 87].

Species delimitation and species tree

We first calculated the p-distances for cytb (dataset 1) between all species/ putative species using MEGA 5 [72]. We used the general mixed Yule-coalescent model (GMYC) [88, 89] methods to delineate species boundaries. The method is applicable for single-locus data. Our GMYC analyses were performed with mtDNA gene tree and the time-calibrated gene tree as the input tree derived from for dataset 1 and dataset 4 separately without outgroups, implemented in the R package SPILT [90].

We used Bayesian species-delimitation method to delineate species boundaries [91]. We tested the validity of our assignment of 14 putative species based on the results of SPLITS (see Results) using the guide-tree-free implemented in BPP v. 3.1 [91]. Only dataset 2 (nDNA) and dataset 3(mtDNA + nDNA) were included in the analysis. Both algorithms 0 and 1 were used to specify the rjMCMC moves between alternative models of species delimitation. Because primitively analyses showed that algorithms 0 and 1 produced similar results, algorithm 0 with fine tuning parameter was used for subsequent analysis. Gamma-distributed priors (G) were used to specify the ancestral population size (θ) and root age (τ). Use of inappropriate priors can bias posterior probabilities of species delimitation, potentially yielding false positives [91]. Thus, we tested two population size/tree age combinations chosen in previously studies [15, 92,93,94]. Trial runs showed good mixing using the two population size/tree age combinations. The two combinations were modeled to allow a range of speciation histories: shallow population size/ moderate divergence [G (2, 2000 forθand G (2, 2000) for τ] and large population size/ moderate divergence [G (1, 10) forθand G (2, 2000) for τ]. The divergence time prior (τ) used a diffuse Gamma-distributed probability distribution (2, 2000). The mean is 2/2000 = 0.001 (which means 0.1% of sequence divergence), which assumes that species split one million years ago if substitution rates are 2.2 × 10− 9 [95] and generation time is equal to 1 year. Each rjMCMC was run for 100,000 generations and sampled each 100 generations after discarding 10,000 generations as pre-burn-in.

The species tree was reconstructed for Chinese Crocidura based on a coalescent-based method implemented in *BEAST [96]. Suncus murinus was selected as outgroup. The analysis used the dataset 3 (mtDNA + nDNA). The best-fit models were calculated using jModeltest [74] and are provided in Additional file 1: Table S1. Samples were assigned to 15 putative species (including the outgroup species Suncus murinus) based on the results of SPLITS and BPP (see Results). We used the same priors as the phylogenetic analyses described above. Each analysis was run for 100 million generations and sampled every 5000th generation. Convergence of the run was checked using TRACER v1.6 and the runs were combined using the Log combiner module of BEAST with a burnin of 10%.