Supplemental Table 1 Code, name and original province in China of the released cultivars used in this study Code 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 Cultivar name N09955 N00013.1 N02951.1 N07917 N09773 N25459 N07686 N25461 N25430 N08539 N25173 N25176 N25287 N25226 N00609.1 N03548 N25511 N21478 N25299 N25354 N25355 N23787 N25452 N25353 N25453 N05156 N21295 N21301 N25134 N25135 N20827 N04180 N25174 N03343 N22335 N25290 N25298 N25292 N24454 N24480 N25158 N23563 N25267 N23568 N25344 N23569 N24450 Origin Fujian Jiangsu Jiangxi Hubei Jiangsu Hebei Sichuan Sichuan Sichuan Guizhou Henan Henan Jiangsu Hubei Shandong Shanghai Fujian Anhui Jiangxi Sichuan Sichuan Sichuan Sichuan Sichuan Sichuan Fujian Jiangsu Jiangsu Anhui Anhui Shandong Hubei Henan Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Hunan Shandong Hebei Hebei Jiangsu Shanxi Shanxi Shanxi Shandong Code 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 Cultivar name N25146 N25147 N25148 N25149 N25274 N25505 N25140 N25142 N25144 N03286 N04978 N23688 N25338 N05183 N09578 N09580 N25340 N20646 N06144 N25503 N05461 N25265 N25278 N22503 N05465 N22308 N23139 N25277 N23835 N25281 N25279 N01010 N25498 N10125 N10080 N25172 N03542 N25388 N25019 N09125.1 N00666 N05184 N09120 N23682 N25401 N25404 N24452 Origin Beijing Beijing Beijing Beijing Beijing Beijing Beijing Beijing Beijing Shandong Shandong Shandong Shandong Shandong Shandong Shandong Shandong Guizhou Anhui Sichuan Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Henan Shanghai Shandong Shandong Shandong Shandong Shandong Shandong Guizhou Guizhou Guizhou Henan Code 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 Cultivar name N25339 N25175 N05126 N06831.1 N07063 N25504 N25524 N23676 N07038.1 N23915 N25111 N05459 N22502 N05458 N07384 N07733 N25293 N09688 N25468 N25131 N25469 N06547.1 N25130 N25132 N25275 N02229 N21266 N21487 N04986.1 N00611.11 N09144 N06034 N01197.21 N25499 N23617 N01599.1 N09117 N25380 N25381 N25382 N22492 N00667 N00617 N00664.2 N22493 N25378 N25379 Origin Shandong Henan Henan Shanghai Zhejiang Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Anhui Jiangsu Jiangsu Jiangsu Anhui Anhui Anhui Anhui Anhui Anhui Anhui Anhui Anhui Anhui Shandong Shandong Shandong Shandong Zhejiang Hunan Hunan Hunan Shandong Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Jiangsu Code 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 Cultivar name N23774 N04989 N04930.1 N23719 N23709 N23696 N23699 N25162 N25163 N25164 N25472 N25165 N25476 N25166 N25167 N25168 N25107 N05073 N23970 N25427 N04924 N23716 N25137 N23748 N25363 N25169 N25273 N25171 N25272 N25489 N08855 N25227 N25228 N25231 N25225 N25441 N25457 N25442 N25445 N25448 N25449 N23701 N25435 N05146 N25470 N25471 N10497.1 Origin Shandong Beijing Beijing Beijing Henan Henan Henan Henan Henan Henan Henan Henan Henan Henan Henan Henan Henan Henan Henan Shandong Shandong Beijing Beijing Zhejiang Zhejiang Henan Henan Henan Henan Henan Hubei Hubei Hubei Hubei Hubei Beijing Beijing Beijing Beijing Beijing Beijing Beijing Beijing Henan Henan Henan Sichuan Supplemental Table 2 Frequency distribution of aluminium tolerance of 188 released soybean cultivars in China Class limit (%) Geographic type <27.9 27.9- 33.6- 39. 3- 45. 0- 50. 7- 56. 4- 62. 1- 67.8- 73. 5- 79.2- 84.9- >90.6 33.6 39.3 45.0 50.7 56.4 62.1 67.9 73.5 79.2 Range Mean (%) (%) Σf CV (%) GCV (%) 84.9 90.6 YR 2 7 3 7 20 21 15 24 9 9 5 1 1 124 26.34-93.73 57.44 24.23 24.06 CJR 3 1 1 2 1 5 15 13 11 7 1 3 1 64 25.11-91.19 62.48 22.41 22.03 Total 5 8 4 9 21 26 30 37 20 16 6 4 2 188 25.11-93.73 59.16 23.86 23.54 YR=Yellow River Valleys in China; CJR=Changjiang River Valleys in China. CV = coefficient of variation; GCV = genetic coefficient of variation. Supplemental Table 3 Transmission of favorable Al-tolerant alleles in NN1138-2 pedigree Breeding cycle P Cycle 1 Cycle 2 Cycle 3 Cycle 4 Cultivar code 68 70 73 79 92 172 177 8 9 41 77 166 173 181 12 150 155 156 167 175 11 Mean RRE(%) 44.7 77.1 67.3 74.3 31.3 35.8 65.5 75.3 54.2 53.2 25.8 55.0 27.4 66.4 68.1 65.5 75.4 66.1 55.1 73.2 64.0 Satt209-A210 Satt209-A219 Sat_364-A425 Χ Χ Χ Χ Χ Χ Χ Χ Sat_364-A437 Χ Satt286-A219 Χ Satt286-A228 Χ Χ Satt005-A159 Satt005-A186 Χ Satt186-A267 Χ Χ Χ Satt186-A258 √ √ √ √ Sat_240-A214 √ √ √ √ Sat_240-A268 Χ Χ Χ Χ Χ Χ Χ Sat_174-A219 √ √ √ √ √ √ Sat_174-A237 Χ Χ GMES0069-A162 Χ Χ Χ Χ Χ GMES0069-A159 √ √ √ √ √ √ √ √ √ √ √ Sct_190-A267 Sct_190-A258 Χ Χ Satt284-A285 Χ Satt284-A258 Χ Χ GMES1703a-A179 Χ Χ Χ Χ Χ GMES1703a-A176 Χ Χ P: Pedigree ancestor (NN1138-2); Cycle 1-4 : the breeding cycle 1- 4 of the derived cultivar.. √: allele same as pedigree ancestor; x: allele from other source. NN1138-2 pedigree contains 20 cultivars derived from the ancestor NN1138-2 in four breeding cycles which were tested in the present study and its transmission information of favorable Al-tolerant alleles is presented here as an example conveying similar concepts for other four (58-161, Xudou No.1, Qihuang No.1, NN493-1) pedigrees.