Tree Genetics & Genomes (2019) 15:13 https://doi.org/10.1007/s11295-019-1318-9 ORIGINAL ARTICLE First simple sequence repeat-based genetic linkage map reveals a major QTL for leafing time in walnut (Juglans regia L.) Sina Kefayati 1 & Adi Surya Ikhsan 1 & Mehmet Sutyemez 2 & Aibibula Paizila 1 & Hayat Topçu 1 & Şakir Burak Bükücü 2 & Salih Kafkas 1 Received: 25 July 2018 / Revised: 6 January 2019 / Accepted: 8 January 2019 # Springer-Verlag GmbH Germany, part of Springer Nature 2019 Abstract Walnut (Juglans regia L.) is one of the most important nut tree species. Simple sequence repeat (SSR)-based genetic linkage maps are valuable and effective tools for studies on integrative and comparative mapping. The data available in literature on walnut is inadequate for linkage mapping. Therefore, in the present study, we aimed to construct the first SSR-based genetic linkage map using the ‘Chandler’ × ‘Kaplan-86’ F1 population and to identify QTL (Quantitative Trait Loci) for leafing time in walnut. A total of 386 SSRs were mapped to 16 linkage groups (LGs) after screening 1437 SSR primer pairs. Among the mapped markers, 166 SSRs (43.0%) were heterozygous in both the parents, whereas 113 (29.3%) and 107 (27.7%) markers were from one of the parents that were integrated into the female and male maps, respectively. The total length of the consensus map was 1568.2 cM, with an average length of 98.0 cM. It included an average of 24.1 markers per LG, and the mean distance between SSR markers was 4.3 cM. The Chandler maternal linkage map included 279 SSR markers of total map length 1285.8 cM, whereas the Kaplan-86 male genetic map contained 273 SSRs of total map length 1574.4 cM. The SSR-based linkage maps presented in this study are moderately dense and can be considered as a fundamental genetic linkage map for further genetic and molecular studies in walnut, as well as in other Juglans species. A major QTL was identified for leafing time on LG4 explaining 52.0–68.8% of the phenotypic variation at similar positions in parental and consensus maps. The identified QTL region with associate markers can be potential for marker-assisted selection in the future for walnut breeding programs. Keywords Juglans regia . Linkage mapping . Microsatellite . Simple sequence repeat . Walnut Introduction Walnut (Juglans regia L.) belongs to the family Juglandaceae and is mainly cultivated for its nuts and timber. It grows as a wild or cultivated tree in a wide area ranging from Southeastern Europe to the Caucasus (Ikhsan et al. 2016). Walnuts contain essential nutritional components for human, Communicated by E. Dirlewanger Electronic supplementary material The online version of this article (https://doi.org/10.1007/s11295-019-1318-9) contains supplementary material, which is available to authorized users. * Salih Kafkas [email protected] 1 Department of Horticulture, Faculty of Agriculture, University of Çukurova, 01330 Adana, Turkey 2 Department of Horticulture, Faculty of Agriculture, University of Kahramanmaraş Sütçüimam, Kahramanmaraş, Turkey such as protein and lipids at a concentration of approximately 16.7 and 66.9% on dry weight basis, respectively. Some major proteins include prolamin, albumin, globulin, and glutelin. Walnuts also contain alpha tocopherol, gamma tocopherol, delta tocopherol, total carotenoid, and selenium (Sze-Tao and Sathe 2000). From economic perspective, walnuts are categorized as high-value nuts beside pistachio, hazelnuts, almonds, and cashew nuts (Bernard et al. 2018). The global total walnut production is approximately four million metric tons, and Turkey accounts for > 5% of the production, after China (47.7%) and USA (16.2%) (Faostat 2018). For a long time, farmers selected the best walnuts from seedling population and propagated them, and later walnut scion and rootstock breeding programs were practiced during the twentieth century. During the past 50 years, many studies worldwide have focused on walnut breeding, genetics, and biotechnology (Bernard et al. 2018). The advancements in genetics, biotechnology, and genomics have provided new tools to discover alleles and genes. 13 Page 2 of 12 These tools can improve the efficiency of breeding programs (Moose and Mumm 2008). Molecular breeding is defined as the use of molecular markers in conjunction with linkage maps and genomics to select plants with desirable traits based on the genetic assays (Vinod 2006). The linkage map is valuable to obtain information regarding segregation and genetic makeup of a species. It is constructed using the recombination frequency of markers. This information is utilized as a foundation to determine the relative location of these markers in the genome (Semagn et al. 2006). All the species of genus Juglans are diploid with a karyotype of 2n = 32 and have 16 linkage groups (LGs) (Woodworth 1930); the estimated genome size of J. regia is 606 Mbp (Horjales et al. 2003). A draft genome of walnut has also been published by Martínez-García et al. (2016). Numerous molecular marker systems have been used in walnut for germplasm characterization, genetic diversity, and genetic linkage mapping (Fjellstrom et al. 1994; Nicese et al. 1998; Woeste et al. 2002; Potter et al. 2002; Dangl et al. 2005; Kafkas et al. 2005; Doğan et al. 2014; Luo et al. 2015; Zhu et al. 2015). Among them, the simple sequence repeat (SSR) is a convenient marker for DNA fingerprinting as compared with the other molecular markers owing to its co-dominant inheritance, large number of alleles per locus, suitability for automation, genome-wide abundance, and the requirement of only a small amount of DNA for the analysis (Wani et al. 2010). The SSRs have a wide range of applications, including in studies on genetic diversity, identification of cultivar, and construction of high-density genetic linkage maps and marker-assisted selection (Winter et al. 2000). To the best of our knowledge, the first SSR marker development study in walnut was by Woeste et al. (2002) using the enrichment method in Juglans nigra. Subsequently, a few studies have attempted to generate polymorphic SSR markers for walnut (Victory et al. 2006; Hoban et al. 2008; Zhang et al. 2010; Qi et al. 2009, 2011; Yi et al. 2011; Chen et al. 2013; Zhang et al. 2013; Najafi et al. 2014; Topçu et al. 2015a, b; Ikhsan et al. 2016; Dang et al. 2016; Eser et al. 2018). Among them, Ikhsan et al. (2016) and Eser et al. (2018) used bacterial artificial chromosome (BAC)-end sequences generated by Wu et al. (2012) and developed numerous polymorphic SSRs (308 and 551, respectively). In the past, restriction fragment length polymorphism (RFLP), random amplified polymorphic DNA (RAPD), and isozyme markers were used to construct genetic linkage maps in walnut (Fjellstrom and Parfitt 1994; Woeste et al. 1996; Malvolti et al. 2001); however, the number of markers was not sufficient to cover all the LGs, and there was no sequence information on some of the mapped markers. Recently, SNP (singlenucleotide polymorphism) and InDel-based linkage map of walnut were also published (Luo et al. 2015; Zhu et al. 2015). Cultivar breeding programs in walnut are very slow due to long juvenile period. Therefore, it is very important to have Tree Genetics & Genomes (2019) 15:13 markers linked to economically important characters for early selection in walnut for cost-effective breeding. The development of linkage maps and the identification of markers closely linked to QTL (quantitative trait loci) of an important phenotypic trait may provide marker-assisted selection (MAS). Furthermore, detecting a QTL region associated with a phenotypic trait may lead to identify candidate genes. Leafing time is an important trait that has effect on expansion of the cultivation in walnut. Currently, there is no marker development or a QTL study in walnut on phenology of the trees. Therefore, we aimed to construct the first SSR-based linkage map and to perform QTL analysis for leafing time in walnut in this study. Materials and methods Plant material and DNA extraction A set of 175 segregating F1 progenies derived from a cross between ‘Chandler’ × ‘Kaplan-86’ was used to construct the linkage map. The F1 population was planted in Nuts Application and Research Center (SEKAMER) of Kahramanmaraş Sütçüimam University located in Kahramanmaraş province of Turkey in 2009 with 6 m × 6 m spacing. The DNA was extracted from young leaf tissues by the cetyl trimethylammonium bromide method (Doyle and Doyle 1990). The concentration of DNA was measured using a Qubit Fluorimeter (Invitrogen). The DNA samples were subsequently diluted to a concentration of 10 ng/L for the SSR ploymerase chain reaction (PCR) analysis. SSR genotyping The SSR analysis was carried out using a three-primer strategy for inexpensive PCR amplification according to the method described by Schuelke (2000). Eighteen bases of M13 universal primer (5′ TGTAAAACGACGGCCAGT 3′) was added to each of the forward primers. The universal M13 primer was fluorescently labeled with FAM, VIC, NED, or PET dye. The PCR amplification was performed using the Applied Biosystems® Veriti® 96-Well Thermal Cycler. A total of 1437 published SSR primer pairs were screened in six progenies and in the parents (Table 1). Thereafter, the segregated SSR loci were analyzed across the whole population. The PCR and cycling conditions were similar to those described in the studies that developed the SSR primer pairs. The capillary electrophoresis of PCR products was performed in the ABI 3130xl (Applied Biosystems) genetic analyzer instrument. A total of 9.7 μL of Hi-Di formamide and 0.3 μL of 500 LIZ size standard with 1 μL of PCR product were loaded to each well. The aliquots were denatured for 5 min at 95 °C Tree Genetics & Genomes (2019) 15:13 Page 3 of 12 Table 1 The number of tested, segregated, and mapped SSR loci with their origins, acronyms, and references No Origin Acronym References No. of tested primer pairs No. of segregated loci No. of mapped loci Species Source 1 2 3 4 5 6 7 8 9 10 11 12 13 14 J. nigra J. nigra J. nigra J. nigra J. nigra J. nigra J. cinerae J. regia J. regia J. regia J. regia J. nigra J. mandshurica J. regia Genomic Genomic Genomic Genomic Genomic Genomic Genomic EST EST EST EST Genomic Genomic EST WGA WGA WGA WGA WGA WGA JCIN ZMZ WEST ZMZ JRCV WAC JMP BFUJR Woeste et al. (2002) Dangl et al. (2005) Foroni et al. (2005) Victory et al. (2006) Robichaud et al. (2006) Ross-Davis et al. (2008) Hoban et al. (2008) Qi et al. (2009) Zhang et al. (2010) Qi et al. (2011) Yi et al. (2011) Topçu (2012) Chen et al. (2013) Zhang et al. (2013) 30 12 1 2 4 5 13 43 41 18 30 7 50 76 5 5 1 1 0 2 4 8 12 0 10 1 12 22 2 4 1 1 0 1 3 7 10 0 9 1 10 18 15 16 17 18 19 J. regia J. regia J. nigra J. regia J. regia Genomic BAC-end Genomic Genomic ABRII WJR WGA CUJR Najafi et al. (2014) Chen et al. (2014) Topçu et al. (2015a) Topçu et al. (2015b) 13 12 37 185 0 5 8 94 0 5 6 73 BAC-end BAC-end JRHR JRHR Ikhsan et al. (2016) Eser et al. (2018) 307 551 1437 164 405/150a 504 123 112 386 20 J. regia Total SSR loci a 13 150 were analyzed from 405 segregated loci and run on the ABI 3130xl automated sequencer using a 36-cm capillary array and POP7 polymer. GeneMapper version 4.0 was used to determine allele size. When both parents were heterozygous (ab × cd, ef × eg, and hk × hk), the markers were termed “common,” and when one of the parents was heterozygous (nn × np and lm × ll), the markers were termed “parental.” Genetic linkage map construction and comparison with walnut genome The double pseudo-testcross mapping approach was followed to construct genetic linkage maps independently for each parent. The co-dominant nature of SSR markers enabled us to construct the consensus map. The following five different segregation patterns were scored: ab × cd and ef × eg with 1:1:1:1 segregation, hk × hk with 1:2:1 segregation, and lm × ll and nn × np with 1:1 segregation. 1:1:1:1 and 1:2:1 segregations are common markers used in both the parental maps, whereas 1:1 segregated markers are parental markers, lm × ll is a maternal marker, and nn × np a paternal marker. All data analyses were performed using the JoinMap version 4.1 software (Van Ooijen 2011a). The markers were tested for segregation distortion (SD) by the chi-square test, before using them in linkage mapping. Subsequently, the LGs of the markers were compared at various logarithm of the odds (LOD) thresholds (from 2 to 10) to evaluate the stability of the resulting LGs. Finally, an LOD threshold of 6 was chosen to construct the LGs of walnut using the SSR markers. The SSR markers were ordered in two steps by regression mapping with default parameters. Firstly, the markers in the LGs were ordered without highly skewed markers (χ2 > 0.01), and the resulting order of markers in the LGs was used as reference in the second step, where all the markers were used in mapping. The markers causing severe discrepancies during ordering were removed from the map. The map distances were calculated in centimorgans (cM) using Kosambi’s function (Kosambi 1944). The final version of the genetic maps was drawn using the MapChart version 2.2 software (Voorrips 2002). To determine the possible causes of SD, we analyzed the distorted markers by the allelic and zygotic SD tests as described by Li et al. (2011). The genetic positions of the mapped SSRs in this study were compared to with their physical positions in walnut genome published by Martínez-García et al. (2016). SSR sequences flanking by forward and reverse primers were searched against the walnut genome using the BLAST function of National Center for Biotechnology Information (NCBI), and only the best matching one was presented. 13 Page 4 of 12 Phenotyping and QTL analysis for leafing time Leafing time of the progenies and the parents were determined during three consecutive growing seasons (2015, 2016, and 2017) based on the walnut descriptor (IPGRI 1994). Leafing time was recorded as the number of days from January 1st of each year. MapQTL v5.0 (Van Ooijen 2004) was used to analyze QTL data. An interval mapping approach was initially used to detect putative QTLs in each parental and consensus maps. The LOD thresholds at the genome-wide level were determined by running 1000 permutation tests. The “Automatic Cofactor Selection” tool was used iteratively to identify the strongest marker cofactors for each year. Then, multiple QTL model mapping (MQM) was performed. The Kruskal–Wallis (KW) test was performed to detect associations between markers and leafing time. Results SSR marker segregation A total of 1437 SSRs were screened for segregation, 504 (35.1%) markers were initially selected based on their segregation pattern, and 386 (26.9%) markers were successfully mapped. Among the 1437 SSR primer pairs screened, 161 (11.2%) were developed from J. nigra, Juglans cinerae, and Juglans mandshurica, of which, 39 (24.2%) were segregated and 29 (18.0%) were mapped. The remaining 1276 SSR loci were developed from J. regia, of which, 720 (56.4%) were segregated and 357 (28.0%) were mapped. Only 504 SSR loci of the 759 segregated loci were analyzed in the F1 population (Table 1). A total of 166 (43.0%) out of 386 mapped SSRs were heterozygous in both the parents, and the segregation types were as follows: 61 ab × cd (1:1:1:1), 83 ef × eg (1:1:1:1), and 22 hk × hk (1:2:1). The number of mapped parental markers was 113 (29.3%) and 107 (27.7%) in the female (‘Chandler’) and male (‘Kaplan-86’) maps, respectively. About three fourth of the common SSR markers were obtained from the BACend sequences. Construction of parental and consensus maps The consensus and parental genetic linkage maps spanned 16 LGs (Fig. 1). In the consensus genetic linkage map, 386 SSR markers were successfully mapped in the ‘Chandler’ × ‘Kaplan86’ F1 population. A high percent of the mapped markers were parental markers (57.0%; lm × ll and nn × np), and the remaining were common markers (43.0%; ab × cd, ef × eg, and hk × hk). The mapped SSRs in the consensus map, their primer sequences, repeat motifs, amplified alleles in ‘Chandler’ and Tree Genetics & Genomes (2019) 15:13 ‘Kaplan-86’ parents, segregation types, their LGs, positions, and ki-kare values were given in Online Resource 1. The total length of the consensus map was 1568.2 cM with an average of 98.0 cM per LG. The number of SSR markers in the 16 LGs of walnut varied from 10 (LG15) to 35 (LG3), with an average of 24.1. The LG3, LG2, LG4, and LG10 were the longest LGs with 135.5, 134.0, 126.7, and 122.2 cM, respectively. The shortest LGs were LG15 (68.3 cM), LG13 (68.9 cM), and LG16 (75.2 cM). The average distance between the SSR markers was 4.3 cM in the consensus map, and it ranged from 2.7 cM (LG7) to 6.8 cM (LG15). The average number of markers per cM (marker density) was 0.25, and LG7 was the densest group with 0.37 markers. There were only two gaps ≥ 20 cM in LG2 and LG9 in the consensus map (Table 2; Fig. 1). In the ‘Chandler’ maternal map, 279 SSR markers were successfully mapped in 16 LGs (Fig. 1). The LG7 (31), LG5 (30), and LG3 (29) had the highest number of markers, whereas, LG16 (3) and LG15 (4) included the lowest number of SSR markers. The average number of markers per LG was 17.4. The number of mapped common markers was 166 (59.5%), and LG7 had the highest number (25). The total map length of female map was 1285.8 cM, with an average of 80.4 cM. The LG length ranged between 20.2 cM (LG16) and 136.0 cM (LG3). The average marker distance ranged from 3.0 cM (LG7) to 13.0 cM (LG15), with an average of 5.3 cM. The average number of markers per cM was between 0.08 (LG15) and 0.34 (LG7), with an average of 0.21. There were five gaps ≥ 20 cM in LG4, LG8, LG9, LG11, and LG14 in the ‘Chandler’ map (Table 2; Fig. 1). In ‘Kaplan-86’ male parent, 273 SSR markers were successfully mapped to 16 LGs, with an average of 17.1 markers. The number of mapped markers was between 8 (LG15) and 28 (LG7). The percent of mapped common markers was 60.8%, and LG7 had the highest rate (89.3%). The total map length was 1574.4 cM, with an average of 98.4 cM. The LG13 (47.9 cM) was the shortest, whereas LG4 (141.1 cM), LG2 (133.9 cM), LG3 (130.6 cM), LG5 (128.3 cM), and LG10 (118.4 cM) were the longest in the ‘Kaplan-86’ map. Furthermore, LG7 (3.6), LG16 (4.0), and LG13 (4.4) were the densest groups, whereas LG15 (8.5), LG2 (8.1), and LG12 (8.1) were the sparsest groups. The average marker distance was 6.0 cM, and the mean marker density was 0.18. There were nine gaps ≥ 20 cM in LG2, LG3, LG4, LG6, LG7, LG9, LG12, and LG15 in the Kaplan-86 male genetic linkage map (Table 2; Fig. 1). Comparison with walnut genome Comparison of the SSRs placed in walnut genome revealed marker order for most of the SSRs (Online Resource 1). Within each LG, only a few markers were mapped to orders that differed from that of the walnut genome. SSRs mapped in different orders within LGs were observed in LG4, LG6, LG7, (2019) 15:13 Tree Genetics & Genomes LG-1 Chandler-1 CUJRD462 JRHR229003 JMP14 JRHR215674 JRHR225292 JRHR220524 JRHR217037 JRHR227701 JRHR211565 JRHR213554 JRHR227686b BFUJR307 JRHR214565 JRHR224068 CUJRD465 CUJRA436 BFUJR301 41,98 54,74 57,66 59,17 62,70 69,55 70,80 79,68 81,85 84,99 88,67 90,25 44,02 78,94 JRHR227554 90,07 92,85 JRHR214565 JRHR224068 JRHR207191 JRHR231559b CUJRD005a JRHR228611 31,17 36,57 42,54 CUJRA202 CUJRB450 JRHR223519a 50,27 WGA5 66,13 69,77 71,85 74,18 78,86 84,11 89,76 JRHR214968 JRHR228874 JRCV197782 CUJRA218 JRHR217463 JRHR219728 JRHR213185 JRHR211118 11,00 JRHR212022 19,01 JRHR229542 25,57 31,34 CUJRB321 JRHR223570a 39,61 45,16 JRHR223867 WGA202 55,42 59,07 65,01 JRHR221447 CUJRB468 JRHR230226 77,98 80,87 83,81 85,02 95,37 97,63 98,11 103,46 107,16 113,71 JRHR224834 JRHR231293 CUJRD481 JRHR212270 JRHR227143 JRHR224661 JRHR221565a JRHR223824 BFUJR184 JRHR219017 128,33 JRHR227391 Kaplan86-9 LG-9 0,00 3,99 5,41 7,12 10,99 JRHR225892 JRHR219358x JRHR215811 JRHR219358y JRHR223168 32,24 38,88 47,24 48,55 54,65 59,72 60,94 62,13 64,55 66,29 68,12 68,80 78,17 79,92 82,15 90,35 JRHR211835 JRZMZ22 WJR265 CUJRB103a JRHR229981 JRHR222846 JRHR212067 JRHR220864b JRHR223139 CUJRA481 CUJRB421 JRHR226204 JRHR230927 JRHR226414b CUJRA211 JRHR213115 0,00 4,08 5,46 11,16 JRHR225892 JRHR219358x JRHR215811 JRHR223168 33,93 40,59 49,08 56,42 61,63 63,05 66,54 68,30 70,14 JRHR211835 JRZMZ22 WJR265 JRHR229981 JRHR222846 JRHR212067 JRHR223139 CUJRA481 CUJRB421 82,40 96,62 133,96 JRHR230119 Chandler-6 0,00 7,44 9,09 12,91 16,26 19,30 23,44 25,72 29,24 30,68 33,08 34,31 45,06 48,88 53,61 60,98 72,41 78,07 0,00 4,56 8,49 9,50 16,85 18,35 19,55 21,56 29,09 32,99 45,48 48,66 JRHR225191 JRHR216529 CUJRB317 JRHR214591 JMP27 BFUJR207 CUJRD439 JRHR215253 CUJRB453 CUJRA004 JRCV195023 BFUJR19 JRHR230142 CUJRB202 CUJRA482 CUJRB490 JRHR227393 JRCV195682 BFUJR228 JRHR218062 JRHR213682 94,48 JRHR224559 JRHR227769 JRHR229053b JRHR209244 JRHR220176 JRHR215620 JRHR206788a JRHR224700 JRHR218066 CUJRC006 JRHR211468 JRHR227905 CUJRB220 JRHR230927 65,69 69,31 71,77 76,63 80,93 JMP16 JRHR206716x JRHR206716y CUJRA405 JRHR226237 JRHR213115 95,57 JRHR214370 0,00 2,60 5,71 7,47 9,62 12,41 15,30 20,01 28,90 32,92 36,27 JRHR223518 WJR100 JRHR222130 JCINB157 WEST1552 JRHR215590 JRHR228223 JRHR230245 JRHR229800 WEST566 JRHR224311 52,00 56,94 59,01 62,14 67,12 BFUJR121 JRHR226028 CUJRB414 WGA171 WAC167 LG-13 0,00 2,67 5,08 8,21 9,89 11,98 14,74 17,60 22,22 29,85 34,75 38,09 38,13 41,14 45,18 47,79 53,80 58,73 60,80 63,93 68,92 JRHR227206 JRHR223518 WJR100 JRHR222130 JCINB157 WEST1552 JRHR215590 JRHR228223 JRHR230245 JRHR229800 WEST566 JRHR227734 JRHR224311 BFUJR240 BFUJR195 WGA70 BFUJR121 JRHR226028 CUJRB414 WGA171 WAC167 Kaplan86-13 0,00 2,39 4,93 8,39 10,06 14,96 JRHR227206 JRHR223518 WJR100 JCINB157 JRHR222130 JRHR215590 29,80 38,17 41,22 45,25 47,86 JRHR229800 JRHR227734 BFUJR240 BFUJR195 WGA70 Chandler-14 JRHR223038a JRHR226096 JRCV195815 44,20 BFUJR68 65,66 70,41 JRHR209503 JMP23 85,19 88,29 89,29 92,96 95,58 103,61 107,94 110,54 JRHR214968 CUJRB401 JCINB110 CUJRA218 JRHR231751 JRHR219728 JRHR226652 JRHR213185 133,86 JRHR230119 JRHR230345 7,31 JRHR223215 18,99 CUJRA432 CUJRA002 WEST1172 WGA76 JRZMZ46 JRHR230736a WGA136 JRHR226941 CUJRA212 JRHR222705 WEST1528 JRHR224229 JRHR223541a JRHR211298 JRHR220903 JRHR218863 JMP28 JRHR221483 JRCV195258 JRZMZ7 JRHR230254 WGA225 JRHR227244 JRHR227798 JRHR227254 BFUJR10 CUJRB462 35,89 41,58 44,44 45,74 47,57 51,97 54,55 67,10 70,65 74,46 77,18 80,58 94,51 97,39 101,88 103,47 105,89 107,38 108,99 110,97 112,25 114,17 116,33 128,13 129,33 136,05 JRHR225191 CUJRB317 JRHR214591 BFUJR207 CUJRD439 CUJRB453 CUJRA004 JRCV195023 JRHR230142 BFUJR19 CUJRB202 JRHR227393 75,02 JRHR213682 92,66 JRHR224559 0,00 4,10 4,17 4,33 4,53 5,64 8,99 14,21 16,16 16,41 17,92 19,97 22,88 36,84 45,30 47,44 51,61 53,00 54,19 54,81 58,28 65,08 69,56 71,21 73,06 75,74 77,76 79,87 81,31 87,12 91,78 BFUJR45 JMP40 JRHR227328a LG-14 0,00 4,21 5,25 12,84 14,33 17,16 24,43 27,85 31,07 36,50 39,89 42,82 45,91 52,94 62,34 65,58 67,98 72,59 76,80 79,75 92,32 JRHR229053b JRHR209244 JRHR220176 JRHR215620 JRHR206788a JRHR218066 CUJRD437 JRHR211468 CUJRC006 JRHR224349 CUJRB309 JRHR227905 CUJRB220 WEST1000 JMP16 JRHR206716x JRHR206716y CUJRA405 JRHR226237 CUJRB483 JRHR214370 111,95 114,51 118,42 BFUJR45 JMP40 JRHR227328a Kaplan86-14 JRHR217272 0,00 JMP29 0,00 JMP29 7,00 JRHR224565 8,25 JRHR223609 8,25 JRHR223609 14,41 JRHR228722 43,12 JRHR219598 52,70 57,67 59,65 62,77 66,08 72,78 JRHR224485 JRHR227284 JRHR213537 CUJRB111 JRHR218268 JRHR221078 0,00 0,00 7,13 17,98 29,58 33,45 38,26 39,66 42,33 43,34 45,05 49,91 52,22 58,78 60,48 66,22 69,67 73,20 76,02 76,66 79,46 93,88 96,79 101,22 102,79 105,21 106,69 108,31 110,28 111,48 113,49 115,64 115,69 127,68 128,82 135,46 23,36 28,10 33,37 35,53 JRHR227219 JRHR217272 JRZMZ44 JRHR224565 23,33 28,24 33,27 JRHR227219 JRHR217272 JRZMZ44 43,12 JRHR228722 42,49 JRHR228722 58,17 CUJRB485 58,04 CUJRB485 67,92 JRHR220269 67,88 JRHR220269 75,61 85,09 87,29 90,36 92,34 95,50 98,74 105,48 JRHR219598 JRHR224485 JRHR215899 JRHR227284 JRHR213537 CUJRB111 JRHR218268 JRHR221078 75,65 85,12 87,32 90,39 92,37 95,53 98,77 105,51 JRHR219598 JRHR224485 JRHR215899 JRHR227284 JRHR213537 CUJRB111 JRHR218268 JRHR221078 JRHR230345 JRHR223215 CUJRA432 CUJRB206 CUJRA002 CUJRD458a WEST1172 WGA76 JRZMZ46 JRHR230736a WGA136 JRHR226941 JRHR228966a CUJRA450 CUJRA212 JRHR222705 WEST1528 JRHR224229 JMP41 JRHR223541a JRHR211298 JRHR220903 JRHR218863 JMP28 JRHR221483 JRCV195258 JRZMZ7 JRHR230254 WGA225 JRHR227244 JRHR227798 JRHR230901 JRHR227254 BFUJR10 CUJRB462 JRHR230345 7,30 JRHR223215 28,76 32,27 37,49 38,98 42,50 44,27 51,55 58,82 60,52 67,07 70,95 74,53 77,60 CUJRB206 CUJRA002 CUJRD458a WEST1172 JRZMZ46 JRHR230736a JRHR226941 JRHR228966a CUJRA450 CUJRA212 JRHR222705 WEST1528 JMP41 96,20 99,15 103,91 109,08 110,88 113,88 118,11 128,57 130,65 JRHR211298 JRHR220903 JRHR218863 JRCV195258 JRZMZ7 WGA225 JRHR230901 BFUJR10 JRHR227254 JRHR225189 JRHR225644 JRHR223134 JRHR231304 JRHR231764 JRHR222064 JRHR223323 CUJRA420 CUJRB124 JRHR223658 JRHR228555 CUJRB409 JRHR215721 JRHR214460 JRHR218769 JRHR217314 CUJRA318 JRHR224330 JRHR209936 84,15 86,99 92,48 97,85 99,27 CUJRB012 JRHR209732 WEST795 BFUJR41 JRHR225564 Chandler-11 0,00 3,32 4,39 7,37 8,00 8,88 11,12 14,34 17,24 20,72 JRHR218910 JRZMZ27 CUJRB304 WJR281 JRHR231426 JRHR223620 JRHR213218 JRHR229196a JRHR215944 JRHR231669 41,46 CUJRC307 48,76 CUJRA448 Chandler-15 0,00 4,16 4,21 4,37 4,60 5,74 9,24 14,62 16,57 18,53 46,17 55,33 57,58 61,82 63,19 64,40 65,05 68,63 75,56 80,55 82,09 83,84 87,40 89,98 91,50 97,06 98,06 101,87 JRHR209249 JRHR229430b JRHR229430a JRHR228663 WJR061 CUJRB305 WJR142 JRHR226814 JRHR225264 JRHR215854 CUJRA108 JRHR227273 JRHR216158 JRHR218204 JRHR220931 JRHR217811 JRHR222528 JRHR204187 JRHR210714 CUJRB301 JRHR229439 JRHR225377 JRHR229425 JRHR212831 JRHR212973 JRHR221425 BFUJR154 JRHR230167 0,00 23,05 27,84 29,29 31,57 35,66 40,90 47,96 52,27 54,20 55,11 59,61 63,17 72,18 79,82 84,46 90,41 Kaplan86-11 LG-11 WEST1656 JRHR222084 JRHR218910 JRZMZ27 CUJRB304 JRHR213218 JRHR231426 WJR281 JRHR223620 JRHR229196a JRHR215944 JRHR231669 JRHR225870 JRHR222595 CUJRB114 JRHR229070 JRHR229220 CUJRC307 CUJRB412 CUJRA448 JRHR226534 JMP32 0,00 10,11 17,42 20,78 21,94 24,36 25,82 26,77 28,26 31,84 34,42 37,70 41,21 45,67 51,30 53,72 56,87 58,87 65,16 66,15 70,01 77,64 LG-15 JRHR212264 JRHR225189 JRHR225644 JRHR223134 JRHR231304 JRHR231764 JRHR222064 JRHR223323 CUJRA420 CUJRB124 JRHR223658 JRHR228555 CUJRD322 CUJRB409 JRHR215721 JRHR214460 JRHR218769 JRHR217314 CUJRA318 JRHR229793 JRHR224330 JRHR209936 CUJRC207 CUJRB210 CUJRA461 JRHR216284 JRHR221458 CUJRB012 JRHR209732 WEST795 JRHR225564 BFUJR41 JRHR227079a 0,00 12,35 18,20 28,80 30,01 33,60 35,97 38,95 39,82 42,28 43,57 45,79 46,83 47,85 49,96 54,47 57,29 62,74 68,28 68,29 75,56 88,19 96,75 98,49 100,30 101,96 104,43 109,27 112,58 118,69 120,18 126,67 LG-8 Chandler-8 Kaplan86-7 JRHR209249 JRHR229430b JRHR229430a JRHR228663 WJR061 CUJRB305 WJR142 JRHR226814 JRHR225264 JRHR216872 JRHR215854 JRHR225235 JRHR229295 CUJRA108 JRHR227273 JRHR216158 JRHR218204 JRHR220931 JRHR217811 JRHR222528 JRHR204187 JRHR210714 JRHR223692b CUJRB301 JRHR229439 JRHR225377 WGA118 JRHR229425 JRHR219542 JRHR212831 JRHR212973 JRHR221425 BFUJR154 JRHR230167 0,00 Kaplan86-4 LG-4 Chandler-4 5,83 16,41 17,63 21,31 23,65 26,54 27,56 29,87 31,34 34,37 35,27 37,47 41,89 44,73 50,23 55,07 62,81 0,00 0,00 LG-7 0,00 4,10 4,17 4,33 4,53 5,64 8,99 14,21 16,16 16,41 17,92 19,97 22,88 36,83 45,30 47,43 51,62 53,00 54,17 54,80 58,33 65,13 69,70 70,30 71,61 73,21 75,84 77,16 77,86 80,09 81,44 86,82 87,84 91,57 JRHR209249 JRHR229430b JRHR229430a JRHR228663 WJR061 CUJRB305 WJR142 JRHR226814 JRHR225264 JRHR216872 JRHR215854 JRHR225235 JRHR229295 CUJRA108 JRHR227273 JRHR216158 JRHR218204 JRHR220931 JRHR217811 JRHR222528 JRHR204187 JRHR210714 JRHR223692b JRHR229439 JRHR225377 WGA118 JRHR219542 JRHR212831 JRHR212973 JRHR221425 JRHR230167 Kaplan86-10 JRHR227769 JRHR229053b JRHR209244 JRHR220176 JRHR215620 JRHR206788a JRHR224700 JRHR218066 CUJRD437 JRHR211468 CUJRC006 JRHR224349 CUJRB309 JRHR227905 CUJRB220 WEST1000 JMP16 JRHR206716x JRHR206716y CUJRA405 JRHR226237 CUJRB483 JRHR214370 Kaplan86-3 LG-3 0,00 Chandler-7 0,00 8,75 12,83 17,95 19,65 25,72 29,38 31,02 33,47 34,62 42,95 49,55 LG-10 0,00 4,62 8,45 9,46 16,89 18,31 19,60 21,41 28,44 31,89 34,97 40,30 43,67 46,43 49,48 56,67 66,04 69,28 71,67 76,29 80,50 83,45 96,01 115,65 118,21 122,12 Chandler-13 13,06 16,55 Kaplan86-6 0,00 7,50 9,01 12,83 16,36 18,08 19,72 23,65 26,06 29,58 30,99 33,37 34,53 43,00 45,27 49,08 49,65 53,81 61,18 72,59 77,99 Chandler-10 JRHR206750 57,61 LG-6 JRHR225191 JRHR216529 CUJRB317 JRHR214591 JMP27 CUJRD439 JRHR215253 CUJRB453 CUJRA004 JRCV195023 BFUJR19 JRHR230142 CUJRA482 CUJRB490 JRCV195682 BFUJR228 JRHR218062 JRHR213682 0,00 WEST1656 10,12 JRHR222084 21,55 24,46 27,02 28,52 34,56 38,32 41,45 45,92 51,54 53,97 57,12 65,41 70,26 77,89 CUJRB304 JRHR213218 WJR281 JRHR223620 JRHR215944 JRHR231669 JRHR225870 JRHR222595 CUJRB114 JRHR229070 JRHR229220 CUJRB412 JRHR226534 JMP32 JRHR228739 JRHR219141 CUJRB223 WEST1464 CUJRA124 JRHR213725 WEST5 JRHR226285 CUJRA206 JRHR223389b JRHR223389a CUJRD495 CUJRB467 JRHR214359 JRCV198129 JRHR230765 BFUJR247 0,00 12,33 22,72 27,87 29,32 31,74 33,24 35,70 38,00 41,02 45,15 48,14 52,45 54,66 55,55 59,77 63,26 71,49 79,66 81,70 84,28 85,44 90,24 JRHR220384 JRHR218355 JRHR225388 JRHR217036 JRHR211717 JRHR223592 WGA321 JCINB159 BFUJR276 JRCV197566 JRHR213012 JRHR223947 WGA111 WGA167 JRHR226683 WEST156 Kaplan86-15 Chandler-16 0,00 0,00 CUJRD410 9,76 JRHR204109 20,18 JRHR223464 0,00 JRHR231614 0,00 JRHR231614 16,65 JRHR218727 16,51 JRHR218727 36,01 JRHR226648 34,66 38,32 38,59 40,29 WGA139 CUJRD104 JRHR226648 JRHR226860 34,21 37,95 39,91 WGA139 CUJRD104 JRHR226860 52,09 JRHR227267 56,65 62,31 63,84 68,30 JRHR227267 JMP6 CUJRD487 JRHR227832 56,75 62,28 63,81 68,28 JRHR227267 JMP6 CUJRD487 JRHR227832 JRHR218727 JRHR212264 JRHR225644 JRHR225189 36,23 38,62 43,54 47,47 49,88 52,14 59,47 62,56 69,22 74,73 82,03 JRHR222064 JRHR223323 CUJRB124 JRHR228555 CUJRD322 JRHR215721 JRHR218769 JRHR217314 CUJRA318 JRHR229793 JRHR209936 100,81 CUJRC207 109,81 111,89 113,56 114,90 122,59 128,00 133,83 141,07 JRHR221458 JRHR216284 CUJRB210 CUJRA461 JRHR209732 WEST795 JRHR225564 JRHR227079a Kaplan86-8 JRHR228739 CUJRB417 JRHR219141 CUJRB223 WEST1464 CUJRA124 CUJRC105 JRHR213725 JRHR226241 WEST5 CUJRB441 JRHR226285 CUJRA206 JRHR223389b JRHR223389a CUJRD495 CUJRB467 JRHR214359 JRCV198129 CUJRB004 JRHR230765 JRHR210057 BFUJR247 Chandler-12 0,00 5,60 10,02 14,88 25,30 32,70 37,60 42,86 47,89 52,58 59,67 60,66 63,40 68,29 69,63 70,44 0,00 12,32 LD-2017 0,00 JRHR206750 JRHR223038a JRHR226096 JRHR207652 JRHR207191 JRHR231559b CUJRD005a JRCV195815 JRHR228611 CUJRA202 BFUJR68 CUJRB450 JRHR223519a JRHR209503 JMP23 WGA5 JRHR214968 CUJRB401 JCINB110 CUJRA218 JRHR228874 JRHR231751 JRCV197782 JRHR217463 JRHR219728 JRHR226652 JRHR213185 LD-2015 CUJRB103a JRHR229981 JRHR222846 JRHR212067 JRHR220864b JRHR223139 CUJRA481 JRHR226204 JRHR230927 JRHR226414b CUJRA211 JRHR213115 60,68 63,77 65,25 69,18 47,89 7,11 11,10 17,00 22,25 0,00 13,06 16,55 22,34 29,45 33,44 39,35 44,20 44,60 53,53 57,61 58,90 64,91 65,66 70,42 72,54 85,62 88,30 89,28 92,36 94,30 95,59 95,97 100,67 104,81 108,30 110,68 LD-2016 42,63 48,38 53,75 54,99 56,15 58,61 60,41 62,82 72,03 73,90 76,12 84,29 JRHR225892 JRHR215811 JRHR219358y CUJRD462 WGA79 JRHR227283 JRHR215674 CUJRD008 JRHR225292 JRHR220524 JRHR217037 JRHR227701 JRHR211565 JRHR213554 Chandler-3 Kaplan86-2 LG-2 JRHR207652 LD-2015 JRHR211118 JRHR231297 JRHR212022 BFUJR46 JRHR229542 CUJRB321 JRHR227122 JRHR230046 JRHR223570a JRCV194742 JRHR223867 WGA202 JRHR207496 JRHR221447 JRHR215859 CUJRB468 JRHR226085 JRHR230226 JRHR224834 JRHR231293 JRHR212270 CUJRD481 JRHR223559b JRHR227143 JRHR224661 JRHR221565a JRHR226041 JRHR223248 JRHR228709b JRHR223824 JRHR227033 BFUJR184 JRHR219017 JRHR227391 Chandler-9 0,00 5,50 7,06 18,66 21,26 31,86 40,70 44,21 Kaplan86-5 LG-5 0,00 6,84 11,10 14,59 17,41 22,47 25,72 27,14 28,33 33,80 36,33 41,08 45,12 50,46 52,38 54,11 56,88 58,94 68,75 70,83 74,13 75,28 76,30 83,81 85,77 86,17 87,15 89,47 90,29 91,03 92,20 94,86 99,96 116,24 Chandler-2 0,00 JRHR214458 JRHR213696 JRHR217215 LD-2017 JRHR211118 JRHR231297 JRHR212022 BFUJR46 JRHR229542 CUJRB321 JRHR227122 JRHR230046 JRCV194742 JRHR223867 WGA202 JRHR207496 JRHR221447 JRHR215859 CUJRB468 JRHR226085 JRHR224834 JRHR231293 JRHR212270 JRHR223559b JRHR227143 JRHR224661 JRHR221565a JRHR226041 JRHR223248 JRHR228709b JRHR223824 JRHR227033 BFUJR184 JRHR219017 Kaplan86-1 0,00 4,60 9,07 LD-2016 56,72 59,63 61,13 64,68 71,81 73,07 73,85 82,33 84,49 87,44 91,13 92,72 Chandler-5 0,00 6,78 11,13 14,53 17,48 22,45 25,57 26,99 33,54 35,97 40,74 44,71 50,10 51,90 53,83 56,31 67,70 69,82 73,17 75,25 82,51 84,49 84,89 85,95 88,27 89,09 89,77 91,00 93,62 98,77 JRHR214458 JRHR213696 JRHR217215 CUJRD462 WGA79 JRHR229003 JMP14 JRHR227283 JRHR215674 CUJRD008 JRHR220524 JRHR225292 JRHR217037 JRHR227701 JRHR211565 JRHR213554 JRHR227686b BFUJR307 JRHR227554 JRHR214565 JRHR224068 CUJRD465 CUJRA436 BFUJR301 LD-2015 17,30 22,53 25,43 35,81 0,00 4,41 8,56 17,44 19,70 23,32 26,36 29,01 37,26 40,57 LD-2017 JRHR214458 JRHR213696 JRHR217215 LD-2016 0,00 4,44 8,65 13 Page 5 of 12 0,00 9,88 20,03 21,64 24,27 26,43 36,51 43,82 45,03 CUJRB417 JRHR219141 CUJRA124 CUJRC105 JRHR213725 JRHR226241 CUJRB441 JRHR223389b JRHR223389a 63,79 JRHR214359 72,57 76,27 CUJRB004 JRHR210057 LG-12 0,00 5,58 9,84 14,67 18,29 25,46 32,90 37,65 43,28 43,94 48,33 53,34 60,34 61,20 63,93 68,83 70,17 71,02 79,82 Kaplan86-12 JRHR220384 JRHR218355 JRHR225388 JRHR217036 JRHR225846 JRHR211717 JRHR223592 WGA321 JCINB159 JRHR228256 BFUJR276 JRCV197566 JRHR213012 JRHR223947 WGA111 WGA167 JRHR226683 WEST156 WGA256 LG-16 0,00 10,49 17,90 19,99 20,42 20,44 31,32 34,56 37,68 41,45 53,43 57,85 61,22 65,15 67,50 73,46 75,25 CUJRD410 JRHR204109 JRHR223464 JRHR229005 JRCV195263 JRZMZ37 CUJRC001 JRHR228864 JRHR228869a CUJRB102 WGA104 CUJRB113 JRHR223601 BFUJR49 JRZMZ31 CUJRC002 CUJRC319 0,00 5,72 9,95 14,87 18,67 JRHR220384 JRHR218355 JRHR225388 JRHR217036 JRHR225846 26,30 JRHR211717 38,85 WGA321 45,52 JRHR228256 56,34 JRCV197566 64,45 JRHR213012 88,91 WEST156 97,40 WGA256 Kaplan86-16 0,00 7,34 9,46 9,89 9,91 20,79 24,03 27,15 30,92 42,90 47,32 50,69 54,62 56,97 62,93 64,72 JRHR204109 JRHR223464 JRHR229005 JRCV195263 JRZMZ37 CUJRC001 JRHR228864 JRHR228869a CUJRB102 WGA104 CUJRB113 JRHR223601 BFUJR49 JRZMZ31 CUJRC002 CUJRC319 Fig. 1 The maternal (left), paternal (right), and consensus (middle) simple sequence repeat (SSR)-based genetic linkage map of walnut using ‘Chandler’ × ‘Kaplan-86’ F1 population. On the left is map distance in centimorgans (cM), and on the right are marker names. The markers in bolds are common markers. Gaps larger than ≥20 cM were shown as black bars on LGs. A LOD threshold of 6 was chosen to construct the linkage groups. QTLs for leafing time in 2015, 2016, and in 2017 are shown as bars LG8, LG10, LG11, LG13, and in LG15 at different positions. Some SSRs were matched with the same scaffold which were in different LGs. The scaffold jcf7180001222243 matched to both LG1 and LG7, the scaffold jcf7180001222243 matched to both LG1 and LG12, and the scaffold jcf7180001222257b matched to both LG4 and LG11. linkage maps contained 52 out of 279 (18.6%) and 35 out of 273 (12.4%) skewed markers. Among the 61 distorted markers in the consensus map, 27 were common markers and 34 were parental markers. Among the parental markers, 25 were on the female map, whereas nine were on the male map (Table 2). The skewed markers in the parental and consensus maps were randomly distributed to 11 LGs. The LG1, LG9, LG13, LG15, and LG16 had perfect marker distribution without distorted markers. In the consensus map, LG4 (42.4%), LG2 (32.1%), LG8 (30.4%), and LG6 (27.3%) had the highest percent of skewed Distribution of distorted markers In the consensus map, 61 out of 386 (15.8%) SSR markers were distorted, whereas the ‘Chandler’ and ‘Kaplan-86’ 15 52.1 16 20.2 Total 1285.8 Average 80.4 90.3 89.8 136 99.3 98.8 78.1 91.8 90.4 84.3 95.6 48.8 70.4 67.1 72.8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 3 279 17.4 0.08 0.15 0.21 5.3 0.22 0.18 0.21 0.24 0.30 0.23 0.34 0.19 0.18 0.19 0.25 0.23 0.24 0.14 Marker density 13.0 6.7 4.5 5.6 4.7 4.1 3.3 4.3 3.0 5.3 5.6 5.3 4.1 4.4 4.2 7.3 Marker distance (cM) 18.6 0.0 0.0 0.0 50.0 6.9 58.3 13.3 27.8 22.6 29.4 0.0 22.2 8.3 6.3 0.0 10.0 68.3 75.2 1568.2 98.0 92.7 134 135.5 126.7 116.2 94.5 90.6 90.2 90.4 122.1 77.6 79.8 68.9 105.5 10 17 386 24.1 24 28 35 33 34 22 34 23 21 26 22 19 21 17 % LG length No. of Distortion (cM) markers Consensus 4.3 6.8 4.4 3.9 4.8 3.9 3.8 3.4 4.3 2.7 3.9 4.3 4.7 3.5 4.2 3.3 6.2 Marker distance (cM) 0.24 0.14 0.22 0.25 0.20 0.25 0.26 0.29 0.23 0.37 0.25 0.23 0.21 0.28 0.23 0.30 0.16 Marker density 15.8 0.0 0.0 0.0 32.1 5.7 42.4 14.7 27.3 20.6 30.4 0.0 19.2 13.6 5.3 0.0 11.8 68.3 64.7 1574.4 98,4 92.9 133.9 130.6 141.1 128.3 92.7 101.9 76.3 96.6 118.4 77.9 97.4 47.9 105.5 8 16 273 17.1 17 16 24 23 21 14 28 12 15 24 16 12 11 16 % LG length No. of Distortion (cM) markers Kaplan-86 6.0 8.5 4.0 5.5 8.4 5.4 6.1 6.1 6.6 3.6 6.4 6.4 4.9 4.9 8.1 4.4 6.6 Marker distance (cM) 0.18 0.12 0.25 0.18 0.12 0.18 0.16 0.16 0.15 0.27 0.16 0.16 0.20 0.21 0.12 0.23 0.15 Marker density 12.4 0.0 0.0 0.0 12.5 0.0 26.1 9.5 42.9 14.3 33.3 0.0 20.8 18.8 8.3 0.0 12.5 % Distortion Page 6 of 12 20 16 29 24 30 18 31 17 15 18 12 16 16 10 LG length No. of (cM) markers LGs Chandler Table 2 Lengths of linkage groups, number of markers, average distance between markers and number of markers per cM (marker density), and percentage of distorted markers in the parental and consensus maps of Chandler × Kaplan-86 F1 population 13 Tree Genetics & Genomes (2019) 15:13 Tree Genetics & Genomes (2019) 15:13 Page 7 of 12 markers, whereas LG12 (5.3%) and LG3 (5.7%) had a low percent of SD. The highest SD in the female map was observed in LG4 (58.3%) and LG2 (50.0%), followed by LG8 (29.4%), LG6 (27.8%), LG7 (22.6%), and LG10 (22.2%). The LG12 (6.3%), LG3 (6.9%), and LG11 (8.3%) had a low percent of SD markers in the female map. The highest percent of SD in the ‘Kaplan-86’ linkage map was determined in LG6 (42.9%) and LG8 (33.3%), followed by LG4 (26.1%) and LG10 (20.8%) (Table 2). To reveal the possible causes of SD, we subjected the distorted markers to the allelic and zygotic SD tests. Of the 61 skewed markers, none of the markers showed a significant zygotic SD, and all of them were gametic. A total of 44 SD markers exhibited maternal allelic SD, whereas 20 showed paternal allelic SD (Online Resource 2). QTL analysis for leafing time The phenotypic data and statistical values for leafing time are summarized in Table 3. There were phenotypic differences between Chandler and Kaplan-86 for leafing time, and Kaplan-86 had an earlier leafing time than Chandler. The leafing time differed 11, 8, and 9 days between the parents in 2015, 2016, and 2017 growing seasons, respectively. The F1 progeny phenotypes were normally distributed (Fig. 2), highlighting the polygenic control of the trait. QTL analysis was performed in each season using both parental and consensus maps. One major QTL for leafing time was identified in LG4 for all growing seasons in all genetic linkage maps (Fig. 1 and Table 4). In the Chandler map, the QTL explained from 52.0 to 68.8% of phenotypic variation (PV) with an associated LOD score that ranged from 23.5 (in 2015) to 39.1 (in 2017). The closest marker was CUJRB012 in all growing seasons, while JRHR209732 was the second closest marker in 2015. In the Kaplan-86 map, the QTL explained from 58.6 to 68.4% of PV with an associated LOD score that ranged from 24.1 (in 2015) to 33.4 (in 2017). The JRHR209732 was the closest marker in all growing seasons. In the consensus map, the QTL explained from 53.6 to 68.8% of PV with an associated LOD score that ranged from 23.7 (in 2015) to 39.1 (in 2017). Table 3 Mean, maximum, and minimum values, standard deviations of leafing time evaluated in 2015, 2016, and 2017 in ‘Chandler’ × ‘Kaplan86’ F1 population in walnut Year 2015 2016 2017 a F1 progenies Parents Mean Max Min SDa Chandler Kaplan-86 114 99 104 123 109 117 101 87 94 4.47 3.58 5.47 117 104 107 106 96 98 Standard deviation 13 JRHR209732 was the closest marker in 2015, while the CUJRB012 was the closest marker in 2016 and in 2017, respectively. The Kruskal–Wallis test was highly significant showing a high association between markers (JRHR209732 and CUJRB012) and leafing time (Table 4). Discussion SSR markers The SSR primer pairs published previously were used to construct the first SSR-based map of walnut in the present study. Ninety-eight genomic SSRs that were extracted from J. nigra (Woeste et al. 2002; Dangl et al. 2005; Foroni et al. 2005; Victory et al. 2006; Robichaud et al. 2006; Ross-Davis et al. 2008; Topçu 2012; Topçu et al. 2015a) were evaluated, and 16.2% were mapped. Three of the 13 SSR markers (23.1%) generated from J. cinerae by Hoban et al. (2008) were mapped. Chen et al. (2013) generated five SSR loci from J. mandshurica, and 10 (20.0%) were mapped in the present study. Qi et al. (2009, 2011) generated 61 SSRs from EST sequences, and seven (11.5%) were mapped in this study. Zhang et al. (2010, 2013) and Yi et al. (2011) also used EST sequences and developed 117 and 30 EST-SSRs, and 28 (23.9%) and 9 (30.0%) were mapped in the present study, respectively. Najafi et al. (2014) used the fast isolation by AFLP of sequences containing repeats method to develop genomic SSRs; however, the 14 markers were neither polymorphic nor mapped in the present study. Topçu et al. (2015b) used the enrichment method to develop genomic SSRs from J. regia, and 73 (39.5%) out of 185 SSR markers were mapped. Chen et al. (2014), Ikhsan et al. (2016), and Eser et al. (2018) generated the SSRs from the BAC-end sequences of walnut deposited in GenBank by Wu et al. (2012). They developed 12, 307, and 551 SSRs, and we mapped 5 (41.7%), 123 (40.1%), and 112 (20.3%) markers, respectively, in the ‘Chandler’ × ‘Kaplan-86’ F1 population. We used only 150 segregated SSRs from the study by Eser et al. (2018) by choosing mostly common markers for use in both the parental maps. The remaining 255 segregated ones by Eser et al. (2018) were parental markers, which need to be genotyped across the whole F1 population for finding their positions in a further study. A total of 1276 SSR markers from J. regia were analyzed in the present study, and 357 (28.0%) were mapped. The remaining 161 SSRs were from other Juglans species, and 29 (18.0%) of them were mapped. Therefore, the percent of mapped markers in the SSRs from J. regia was higher than that from other Juglans species; this was expected. A total of 1068 genomic SSRs and 208 EST-SSRs from J. regia were tested, and the rate of mapped markers was higher in the SSRs from genomic sequences (32.0%) than that from the EST (21.2%) due to higher polymorphism of the genomic SSRs than the EST. This finding is consistent with previous results, 13 Page 8 of 12 Tree Genetics & Genomes (2019) 15:13 Fig. 2 Frequency distribution of leafing time in ‘Chandler’ × ‘Kaplan-86’ F1 population in 2015, 2016, and 2017. The values of two parents are indicated by arrows. C, Chandler; K, Kaplan-86 and the lower level of polymorphism of EST-SSRs might be due to the selection against variation in the conserved regions of the EST-SSRs (Scott et al. 2000; Chabane et al. 2005; Zhang et al. 2014). About 75% of the common SSR markers were obtained from three SSR development studies. The BAC-end sequences generated by Wu et al. (2012) were used by Eser et al. (2018) and Ikhsan et al. (2016) to develop numerous polymorphic SSR markers in walnut. Eser et al. (2018) generated about half (50.6%) of the common markers used in the present study, followed by Ikhsan et al. (2016) with 24.1% common markers, and Topçu et al. (2015b) generating 21 mapped common SSR markers. Genetic linkage maps and comparison with walnut genome A two-way pseudo-testcross strategy is mainly used to construct an individual genetic linkage map in out-crossing species using the F1 mapping populations due to their highly Table 4 Identified QTLs for leafing time in the parental and consensus maps using ‘Chandler’ × ‘Kaplan-86’ F1 population in walnuta Year Chandler 2015 2016 2017 Kaplan-86 2015 2016 2017 Consensus 2015 2016 2017 heterozygous genomes (Grattapaglia and Sederoff 1994). The first genetic linkage map was reported by Fjellstrom and Parfitt (1994) using RFLP markers and an interspecific backcross of (J. hindsii × J. regia) × J. regia with 63 progenies. They constructed 12 LGs of walnut with 42 RFLP loci. Further, Woeste et al. (1996) used the same population to expand the genetic map by RAPD markers. They increased the number of segregated markers to 107, which were assigned to 15 LGs. Malvolti et al. (2001) used the ‘Lara 480’ × ‘Chandler 1036’ F1 population with 82 progenies to construct a genetic map based on isozyme and RAPD markers. A total of 47 markers were mapped to 11 LGs of the female map, whereas 29 markers were mapped to 10 LGs of the male parent map. These studies were the preliminary attempts to construct LGs of walnut with inadequate number of markers whose sequence information was not available. Recently, Zhu et al. (2015) constructed a genetic linkage map of walnut using the ‘Yuan Lin’ × ‘Qing Lin’ F1 population with 84 progenies using the SNP and InDel markers. The female map included 2395 markers, whereas the male map LG GW LG4 LG4 LG4 4.0 2.9 3.1 LG4 LG4 LG4 LG4 LG4 LG4 cM LOD PV% Closest markers Position cM Kruskal–Walls test significancec 82.8–90.0 70.0–92.0 75.8–86.2 23.5b 33.9b 39.1b 52.0 64.9 68.8 CUJRB012 and JRHR209732 CUJRB012 CUJRB012 84.2 and 87.0 84.2 84.2 ******* ******* ******* 3.1 3.0 3.0 114.9–127.6 105.8–133.0 114.9–129.0 24.1b 27.6b 33.4b 63.5 58.6 68.4 JRHR209732 JRHR209732 JRHR209732 122.6 122.6 122.6 ******* ******* ******* 3.1 3.1 3.2 104.4–112.3 95.2–108.4 102.0–108.4 23.7b 34.3b 39.1b 53.6 63.0 68.8 JRHR209732 CUJRB012 CUJRB012 109.3 104.4 104.4 ******* ******* ******* a The table indicates genome-wide (GW) LOD thresholds, QTL region in the LG (cM), the closest linked markers, their map positions in cM, the estimated LODs, and the percentages (%) of the total phenotypic variance (PV) explained at the QTL peak b Genome-wide significant level was at p < 0.00005 c Significant level at p < 0.00005 Tree Genetics & Genomes (2019) 15:13 contained 448 markers. They also constructed consensus map with 2577 markers along 16 LGs. There were several LGs with inadequate number of markers in the parental maps, such as LG11 in female map and LG3 and LG13 in male map, which included only one marker. SNP markers were also used by Luo et al. (2015) to build SNP-based linkage map of walnut using ‘Chandler’ × ‘Idaho’ F1 population. The authors constructed only consensus map with 1525 SNP markers whose sequence information was not published. The number of mapped markers changed between 139 (LG3) and 13 (LG15). Herein, we report the first SSR-based genetic linkage map of walnut using the ‘Chandler’ × ‘Kaplan-86’ F1 population with 175 progenies. The consensus map is a moderately dense map with 387 markers covering all the 16 LGs of walnut. A SSR-based genetic linkage maps developed in the present study can be a valuable tool for future genetic and molecular breeding studies in walnut. The map also can help compare and integrate linkage maps from different populations of walnut as well as defining chromosomal location of markers in genome-wide association studies (GWAS). Comparisons of the consensus map developed in this study with the walnut genome sequence (Martínez-García et al. 2016) supported the genetic position and marker order of most of the markers mapped. In addition, some inconsistencies between linkage maps and scaffold positions could be due to minor misassembles in the walnut genome or the possibility that our use of the best matching marker position on the walnut scaffolds for each SSR did not provide an accurate comparison. Comparison between walnut linkage maps and the walnut genome revealed extensive collinearity, but some markers mapped in different orders. Those kinds of inverse orders were also observed in different tree species (Klagges et al. 2013; Guajardo et al. 2015; Calle et al. 2018), when the authors compared genetic maps with genome sequence of a plant species. The presence of a well-matched scaffold in different LGs of walnut genetic map may indicate regions that are duplicated. Chromosomal level assembly of walnut genome may help to answer inconsistencies between linkage maps and scaffold positions in this study, which is underway in our lab. Distorted markers SD is a prevalent genetic phenomenon in the genetic linkage analysis of plants. It is explained by the deviation of genotypic frequencies of a locus from the expected Mendelian ratio (Lyttle 1991; Ma et al. 2014). Van Ooijen (2011b) suggests retaining the skewed markers in the analysis in order to understand the reason for SD better. Several studies have also demonstrated that the exclusion of SD markers in the linkage analysis leads to the failure of analysis in significant parts of a LG (Liebhard et al. 2003; Beltramo et al. 2016; Khodaeiaminjan et al. 2018). We also used SD markers in the present study with Page 9 of 12 13 the exception of those significantly affecting marker order or distance. SD in walnut was first reported by Zhu et al. (2015) who constructed a genetic linkage map of walnut using the SNP and InDel markers. The integrated map included 2577 markers, and 761 (29.5%) were skewed markers. The integrated SSR linkage map in the present study consisted lower rate (15.8%) of SD markers. The main reason of higher SD reported by Zhu et al. (2015) can be due to lower number of progenies in their analysis. In the present study, 175 progenies were used, whereas Zhu et al. (2015) performed their analysis using 84 progenies. The genetic distance between parents can be another reason for high SD, because Kianian and Quiros (1992) suggested that wider genetic relationship between parents might lead to increased SD. The results of the allelic and zygotic SD tests in this study suggested that all the skewed markers might have resulted from gametic selections, because none of markers showed a significant zygotic SD. Ma et al. (2014) and Tan et al. (2016) also reported similar results in the F1 populations when they applied the allelic and zygotic tests. A major QTL for leafing time in walnut Walnut breeding is difficult and time-consuming due to long juvenile period and high heterozygosity. MAS could identify young seedlings with desirable traits in a breeding program. Leafing time is one of the most important traits in walnut that can limit the expansion of the cultivation. Bud burst together with leafing time is under strong genetic control; however, this trait is also environmentally driven by photoperiod and temperature (Charrier et al. 2011; Cooke et al. 2012). The leafing time in our progeny showed a broadly normal distribution during three consecutive years. Transgressive segregation was observed, with a few individuals showing phenotypes more extreme than the parents (Fig. 2). Cultivars with late leafing time are likely less susceptible to the spring frost and could be more suitable for cold environmental conditions. On the other hand, genotypes with early leafing time could be more suitable to warm environmental conditions, where they can have early nut maturity, a very desirable trait for producers and for walnut industry. QTL mapping is a powerful method to identify genomic regions controlling this trait. The first SSR genetic linkage map in walnut identified a major QTL for leafing time in this study. Collard et al. (2005) suggested that a QTL can be classified as ‘major’ if it can account for > 10% of the PV. A more enhanced definition of ‘major’ requires that the QTL be stable across multiple seasons or locations (Marinoni et al. 2018). Based on these criteria, we found a QTL region in LG4 detected in three consecutive years in all genetic maps explaining up to 68.8% of PV. The JRHR209732 and CUJRB012 markers had high associations with leafing time, and they can be considered potential markers for MAS in walnut breeding programs after 13 Page 10 of 12 validating them in a germplasm collection and in different segregating populations. Improving the current linkage maps to high-density saturated linkage maps in the future may help to identify genes controlling leafing time in walnut. Conclusions To the best of our knowledge, this is the first study to reveal moderately dense SSR-based linkage map of walnut using the ‘Chandler’ × ‘Kaplan-86’ F1 population. The SSRs are still the marker of choice in the genetic linkage mapping studies due to their co-dominant nature that enables map comparison and integration of different populations. We generated a complete genetic map of 16 LGs in walnut, which can be considered as a framework genetic linkage map for further studies on comparative and integrative linkage maps, QTL mapping, marker-assisted selection (MAS), and genome-wide association studies (GWAS) in walnut. This is also the first report to discover a major QTL region on LG4 for leafing time in walnut representing a promising tool in walnut breeding. Future plan will be to get high-density genetic linkage maps to develop markers closely linked to leafing time for MAS and to identify genes controlling this trait in walnut. Acknowledgments This work was supported by the Scientific and Technological Research Council of Turkey (Project No. TUBİTAKTOVAG 214O140) and the Çukurova University Scientific Research Projects Unit (Project Nos: ZF2013YL43, ZF2013YL48, FDK20154851). Data archiving statement The details of mapped SSR markers were given in Online Resource file 1 and in Fig. 1. Compliance with ethical standards Conflict of interest The authors declare that they have no conflict of interest. Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. References Beltramo C, Valentini N, Portis E, Marinoni DT, Boccacci P, Prando MAS, Botta R (2016) Genetic mapping and QTL analysis in European hazelnut (Corylus avellana L.). Mol Breed 36:27 Bernard A, Lheureux F, Dirlewanger E (2018) Walnut: past and future of genetic improvement. 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