Author Correction: Forensic characterization of 15 autosomal STRs in four populations from Xinjiang, China, and genetic relationships with neighboring populations

The Xinjiang Uyghur Autonomous Region of China (XUARC) harbors 47 ethnic groups including the Manchu (MCH: 0.11%), Mongols (MGL: 0.81%), Kyrgyz (KGZ: 0.86%) and Uzbek (UZK: 0.066%). To establish DNA databases for these populations, allele frequency distributions for 15 autosomal short tandem repeat (STR) loci were determined using the AmpFlSTR Identifiler PCR amplification kit. There was no evidence of departures from Hardy–Weinberg equilibrium (HWE) in any of the four populations and minimal departure from linkage equilibrium (LE) for a very small number of pairwise combinations of loci. The probabilities of identity for the different populations ranged from 1 in 1.51 × 1017 (MCH) to 1 in 9.94 × 1018 (MGL), the combined powers of discrimination ranged from 0.99999999999999999824 (UZK) to 0.9999999999999999848 (MCH) and the combined probabilities of paternal exclusion ranged from 0.9999979323 (UZK) to 0.9999994839 (MCH). Genetic distances, a phylogenetic tree and principal component analysis (PCA) revealed that the MCH, KGZ and UZK are genetically closer to the Han population of Liaoning and the Mongol population of Mongolia while the MGL are closer to Han, Japanese, Korean, Malaysian, Hong Kong Han and Russians living in China.

in the Tang and Song dynasty; and "Jirjisi" or "Qirjisi" in the Yuan and Ming periods. All these names were based on "Kyrgyz", which has had different Chinese translation at different times. The etymology of "Kyrgyz" is thought to be "40 tribes" or "40 girls" 2 . While the Kyrgyz are primarily located in Kyrgyzstan, they represent only 0.86% of the Xinjiang population 4 .
The name "Uzbek" first originated with Uzbek Khan, a local ruler in the Mongol Empire in the 14th century. The Uzbeks are an ancient Iranian people that intermingled with nomadic Mongol and Turkic tribes that invaded Central Asia between the 11th and 15th centuries. The Uzbeks that live in China live mostly in Xinjiang near the border with Russia and the former Soviet Central Asian republics. Uzbeks have been trading in western China for centuries. In the 16th century, they began to settle in cities in Xinjiang. Most Uzbeks in China still live in the cities and are engaged in trading or business 1 . They represent 0.066% of the Xinjiang population 4 .
Short tandem repeat (STR) loci, also referred to as microsatellites or simple sequence repeats (SSRs), are DNA sequences that contain a repeat motif of 2-6 bp and are characterized by a high level of relatively stable polymorphisms, a dense, uniform chromosomal distribution as well as short sequence lengths, which facilitates detection and analysis by PCR and sequencing 6,7 . All these features render STRs as powerful genetic markers for inter-population studies 8 and for the reconstruction of recent human evolutionary history 9 . In view of their high level of variability, autosomal STRs have been the most common genetic markers used in forensic applications, including personal identification and paternity testing 10 . Most forensic laboratories use commercially available kits for multiple STR genotyping 11 .
There have been previous studies of STR genotypes in the Uighur 12 and Kazak 13 populations of Xinjiang but the Manchu, Mongol, Kyrgyz and Uzbek populations remain uncharacterised. In the present study, the 15autosomal STRs in the AmpFLSTR Identifiler kit (Applied Biosystems, Foster City, CA, USA) were examined in the MCH, MGL, KGZ and UZK minorities of the Xinjiang Uyghur Autonomous Region (XUAR).

Hardy-Weinberg equilibrium (HWE). All of the loci were in Hardy-Weinberg Equilibrium (HWE) in the
Kyrgyz population (p > 0.05), while one STR locus was out of HWE for Manchu (D7S820), two loci for Mongol (CSF1PO, D19S433) and four loci for Uzbek (D18S51, D2S1338, D7S820 and FGA). However, when a sequential Bonferroni correction 15 was applied to mitigate against the so-called "multiple comparison problem" (where for a significant p-value of 0.5, 5% of tests are likely to be significant by chance), no loci in any of the four populations were found to be out of HWE.

Linkage equilibrium (LE). Linkage disequilibrium (LD) can be caused by association between adjacent
alleles co-inherited from single, ancestral chromosomes but may also be a result of selection, random genetic drift, the rate of mutation or recombination, nonrandom mating, founder effects, sampling effects, recent admixture, and population substructure 16 . Exact tests for linkage equilibrium (LE) showed that the p-values of 50 pairwise combinations of STR loci (11 in Mongolia and Manchu, 13 in Kyrgyz and 15 in Uzbek) were below 0.05 and thus displaying LD. After a sequential Bonferroni correction 15 , only five pairs were out of LE. These were TH01/D8S1179 and D18S51/D13S317 in the Manchu population, vWA/D21S11 and D2S1338/D19S433 in the Uzbek population and FGA/D13S317 in the Kyrgyz population. All pairwise combinations of loci were in LE in the Mongol population. Therefore, of the 105 pairwise LE tests in each population, a maximum of two were out of LE in any population. Application of the "product rule" for calculation of random match probabilities across multiple loci is fully justified in the Mongol population and is unlikely to produce significant errors in the other three populations.
Cluster analysis with STRUCTURE. STRUCTURE analysis of the four populations from Xinjiang provided no evidence of population structure for any repetition at any value of K. That is, each repetition yielded ancestry proportions for each individual that were approximately equally distributed between each ancestral cluster and were no different between the four populations. STRs for forensic identity testing, such as those included in the Identifiler panel, are selected for high heterozygosity and minimal allele frequency differences Comparison with other populations. An AMOVA was utilized for comparison between the four populations in this study and previously published population studies employing the same 15 STR loci. Genetic distances (F ST ) and associated p-values for each locus are available from the authors upon request. The largest genetic distances in the Manchu, Mongol, Kyrgyz and Uzbeck populations were observed at vWA, D19S433, FGA and TPOX, respectively, while the lowest distances were observed at D8S1179 in the Manchu population and at CSF1PO in the Mongol, Kyrgyz and Uzbek populations. Genetic distances between populations based on Nei's formula 17 are available from the authors upon request. These were used to construct a neighbor-joining tree of the four populations from Xinjiang and the other populations (Fig. 1). The Manchu and Kyrgyz are most closely related and they share a most recent common ancestor with the Uzbeks and a second most recent common ancestor with Mongols (from Mongolia) and ethnic Han from Liaoning province. Mongols from Xinjiang were most closely related to Russians in China, Hui from Qinghai, Manchu from Liaoning and Salar from Qinghai.
PCA was applied to normalized allele frequencies at the 15 STR loci in the Manchu, Mongol, Kyrgyz and Uzbek populations of Xinjiang ( Fig. 2A), in other populations from Xinjiang (Uyghurs and Kazakhs: Fig. 2B) in other populations from China (Fig. 2C) and in other populations from neighboring countries (Fig. 2D). In Concluding remarks. In this study, forensic characterization of 15 autosomal STR loci in the Manchu, Mongol, Kyrgyz and Uzbek minority populations of Xinjiang was performed. The AmpFlSTR Identifiler panel was found to be appropriate for forensic identity testing and paternity testing in these populations with a high power of discrimination, no significant departures from HWE at any loci and minimal departure from LE for a very small number of pairwise combinations of loci. Population genetic analyses indicated that the Manchu, Kyrgyz and Uzbek were closely related while the Mongols of Xinjiang had a closer genetic relationship with Russians in China, Hui from Qinghai, Manchu from Liaoning and Salar from Qinghai. Surprisingly, Mongols from Mongolia and China were more closely related to Manchu, Kyrgyz and Uzbek than to Mongols in Xinjiang, perhaps suggesting an ancient divergence when Mongols originally migrated to present day Xinjiang.

Materials and Methods
Samples and DNA extraction. Blood samples were collected from a total of 1842 unrelated healthy individuals from the XUAR (1157 males, 685 females), including 306 Manchu (208 males, 98 females), 507 Mongols (male: 275, female: 232), 550 Kyrgyz (329 males, 221 females) and 479 Uzbek (345 males, 134 females). All participants gave their informed consent either orally and with thumb print (in case they could not write) or in writing after the study aims and procedures were carefully explained to them in their own language. The study was approved by the ethical review board of the China Medical University, Shenyang Liaoning Province, People's Republic of China and in accordance with the standards of the Declaration of Helsinki. All blood samples were stored at −20 °C before DNA extraction. Genomic DNA was extracted from blood stains using the TIANamp Blood Spots DNA Kit (TIANGEN BIOTECH BEIJING CO., LTD) according to the manufacturer's instructions and the concentration of DNA was quantified by absorption at 260 nm using an ultraviolet spectrophotometer (UV-2800AH, UNICO). PCR amplification. PCR co-amplification of fifteen autosomal STR loci (D18S51, D21S11, TH01, D3S1358,   FGA, TPOX, D8S1179, vWA, CSF1PO, D16S539, D7S820, D13S317, D2S1338, D19S433, and D5S818) were performed in a fluorescence-based multiplex reaction using the AmpFLSTR Identifiler kit (Applied Biosystems, Foster City, CA, USA). From 1 to 2 ng of the target DNA was amplified according to the manufacturer's recommended protocol. Thermal cycling was conducted under the following conditions: 95 °C for 11 min; 28 cycles of 94 °C for 60 s, 59 °C for 60 s, 72 °C for 60 s; and a final extension of 60 °C for 45 min. All loci were amplified in a GeneAmp PCR System 9700 thermal cycler (Applied Biosystems, Foster City, CA).
Genotyping. Amplified products were analyzed with reference to ABI GeneScan 500 LIZ internal size standard (Life Technologies) and AmpFlSTR Identifiler Allelic Ladder using an ABI 3130xl genetic analyzer (Applied Biosystems, Foster City, CA) according to the AmpFLSTR Identifiler standard protocol. Analysis of data obtained from the genetic analyzer was performed using GeneMapper software v3.5.
Quality control. Negative (autoclaved deionized H 2 O) and positive (AmpFlSTR Control DNA 9947 A) controls were employed for DNA extraction, DNA quantitation, PCR amplification and capillary electrophoresis. All negative controls displayed an absence of amplified product while positive controls were consistent with known genotypes.
Statistical analysis. Allelic frequencies and important forensic parameters, such as match probability (MP), power of discrimination (PD), power of exclusion (PE) and polymorphism information content (PIC) were calculated using PowerStats V1.2 18 . Observed heterozygosity (Ho), expected heterozygosity (He), pairwise F ST and exact tests for Hardy-Weinberg equilibrium (HWE) and linkage equilibrium (LE) between pairwise combinations of loci were performed using Arlequin v3.5 based on a likelihood ratio test for unknown gametic phase 19  Cluster analysis using STRUCTURE. STRUCTURE (version 2.2) 54 was used to determine if there was any population structure within and between the Manchu, Mongol, Kyrgyz and Uzbek populations from Xinjiang. Raw genotypes are available from the authors upon request. The Admixture model with correlated allele frequencies was employed without prior population information (USEPOPINFO = 0). The number of inferred clusters (K) was varied from 2 to 10 with 10 repetitions of each K value and a total of 10,000 burnins and 10,000 Markov chain Monte Carlo (MCMC) simulations for each repetition.