Scientia Silvae Sinicae ›› 2026, Vol. 62 ›› Issue (10): 107-124.doi: 10.11707/j.1001-7488.LYKX20260137
• Research papers • Previous Articles
Shuang Wu1,Junxing He1,Xiaobo Song1,Guangzhu Li1,Baoxin Li1,Qingguo Ma1,2,*(
),Dong Pei1
Received:2026-03-08
Online:2026-10-10
Published:2026-10-16
Contact:
Qingguo Ma
E-mail:mqg@caf.ac.cn
CLC Number:
Shuang Wu,Junxing He,Xiaobo Song,Guangzhu Li,Baoxin Li,Qingguo Ma,Dong Pei. Screening and Validation of Phenotypic Markers Related to Early-Fruiting Traits in Juglans regia[J]. Scientia Silvae Sinicae, 2026, 62(10): 107-124.
Fig.9
OPLS-DA analysis of phenotypic indexes between precocious and normal walnut resources A: Score plot of OPLS-DA; B: Loading diagram of OPLS-DA; C: Plot of permutation test. R2X[1] and R2Xo[1] are the proportions of variance in the X variables explained by the first predictive and the first orthogonal component, respectively; $M1.DA(P) and $M1.DA(N) are the class dummy variables generated automatically by SIMCA for discriminant analysis, representing the positive (P) and the negative (N) classes; carrying no orthogonal information, both lie on the horizontal axis (orthogonal loading = 0); X: Phenotypic indicator: Y: Early ripening/late ripening category; R2: Explanatory power of the model for the Y variable; Q2: Prediction rate of cross validation; TLL, TLW, TLSI and TLVN are terminal leaf length, width, shape index and vein number, respectively; LLL, LLW, LLA and LLSI are leaflet length, width, area and shape index, respectively; BLL, BLW, BLA, BLSI, BLPA and BLVN are basal leaflet length, width, area, shape index, leaflet-petiole angle and vein number, respectively; FLVN and FLPPA are the vein number and leaflet-petiole angle of the first leaflet pair below the terminal leaflet, respectively; SLVN and SLPPA are the vein number and leaflet-petiole angle of the second leaflet pair below the terminal leaflet (the middle leaflets), respectively; CLL, PL and LA are compound leaf length, petiole length and lenticel area, respectively; FSI, NLD, NLaD, NSW and NST are fruit shape index, nut longitudinal diameter, nut lateral diameter, nut suture width and nut shell thickness, respectively; MBIP is the mixed bud insertion position."
Table 1
VIP values of differential indicators between precocious and normal walnut resources"
| 编号 No. | 指标名称 Trait name | VIP均值 Average VIP value | VIP临界值 VIP critical value (α=0.01) |
| No.1 | 混合芽着生位置 Mixed bud insertion position (MBIP) | 1.601 7 | 0.190 0 |
| No.2 | 坚果质量 Nut weight (NW) | 1.273 9 | 0.207 7 |
| No.3 | 核壳厚度 Nut shell thickness (NST) | 1.206 0 | 0.267 6 |
| No.4 | 基叶面积 Basal leaf area (BLA) | 1.156 2 | 0.097 9 |
| No.5 | 基叶长度 Basal leaf length (BLL) | 1.155 7 | 0.061 9 |
| No.6 | 基叶?叶柄夹角 Basal leaf-petiole angle (BLPA) | 1.147 6 | 0.261 7 |
| No.7 | 中叶?叶柄夹角 Second leaflet pair-petiole angle below terminal leaf (SLPPA2) | 1.120 4 | 0.248 7 |
| No.8 | 短枝节间长度 Short shoot internode length (SSIL) | 1.056 0 | 0.332 3 |
| No.9 | 小叶宽度 Leaflet leaf width (LLW) | 1.051 0 | 0.131 3 |
| No.10 | 顶叶面积 Terminal leaf area (TLA) | 1.048 0 | 0.173 5 |
| No.11 | 坚果横径 Nut transverse diameter (NTD) | 1.029 1 | 0.212 7 |
| No.12 | 小叶面积 Leaflet leaf area (LLA) | 1.025 0 | 0.120 8 |
| No.13 | 基叶宽度 Basal leaf width (BLW) | 1.019 3 | 0.081 7 |
Table 2
Layered structure mode of differentiation indicators between precocity and normal walnuts"
| 目标层A Target layer A | 约束层C Restrained layer C | 指标层P Trait layer P |
| 早、晚实核桃的差异性指标 Differential factors between precocious and normal walnut | C1:果实指标 Nut trait | P1:坚果质量 Nut weight/g;P2:坚果横径 Nut transverse diameter/mm; P3:核壳厚度Nut shell thickness/mm |
| C2:叶片指标 Leaf trait | P4:中叶–叶柄夹角Second leaflet pair-petiole angle below terminal leaf/(°);P5:小叶宽度Leaflet leaf width/mm;P6:基叶长度Basal leaf length/mm;P7:基叶面积Basal leaf area/mm2;P8:基叶–叶柄夹角Basal leaf-petiole angle/(°);P9:顶叶面积Terminal leaf area/mm2;P10:小叶面积Leaflet leaf area/mm2;P11:基叶宽度Basal leaf width/mm | |
| C3:茎枝指标 Stem and shoot trait | P12:短枝节间长度 Short shoot internode length/mm | |
| C4:混合芽指标 Mixed bud trait | P13:混合芽着生位置 Mixed bud insertion position (0/1) |
Table 3
Judgment matrix and its consistency check"
| A–Ci | |||||||||
| A | C1 | C2 | C3 | C4 | 权重Wi | ||||
| C1 | 1 | 1/8 | 1/4 | 1/3 | 0.052 5 | ||||
| C2 | 8 | 1 | 5 | 6 | 0.646 6 | ||||
| C3 | 4 | 1/5 | 1 | 2 | 0.184 8 | ||||
| C4 | 3 | 1/6 | 1/2 | 1 | 0.116 2 | ||||
| λmax = 4.121 5, CR = 0.045 5 < 0.100 0 | |||||||||
| C1–Pi | |||||||||
| C1 | P1 | P2 | P3 | 权重Wi | |||||
| P1 | 1 | 4 | 5 | 0.035 9 | |||||
| P2 | 1/4 | 1 | 2 | 0.010 5 | |||||
| P3 | 1/5 | 1/2 | 1 | 0.006 1 | |||||
| λmax = 3.024 6, CR = 0.052 5 < 0.100 0 | |||||||||
| C2–Pi | |||||||||
| C2 | P4 | P5 | P6 | P7 | P8 | P9 | P10 | P11 | 权重Wi |
| P4 | 1 | 1 | 1/2 | 1/3 | 1/2 | 2 | 2 | 1 | 0.061 9 |
| P5 | 1 | 1 | 1/2 | 1/3 | 1 | 2 | 2 | 2 | 0.073 7 |
| P6 | 2 | 2 | 1 | 1/2 | 1 | 3 | 3 | 2 | 0.111 2 |
| P7 | 3 | 3 | 2 | 1 | 2 | 3 | 4 | 3 | 0.174 1 |
| P8 | 2 | 1 | 1 | 1/2 | 1 | 2 | 3 | 2 | 0.097 0 |
| P9 | 1/2 | 1/2 | 1/3 | 1/3 | 1/2 | 1 | 1 | 1 | 0.041 6 |
| P10 | 1/2 | 1/2 | 1/3 | 1/4 | 1/3 | 1 | 1 | 1/2 | 0.035 0 |
| P11 | 1 | 1/2 | 1/2 | 1/3 | 1/2 | 1 | 2 | 1 | 0.052 1 |
| λmax = 8.134 6, CR = 0.013 6 < 0.100 0 | |||||||||
| C3–Pi | |||||||||
| C3 | P12 | 权重Wi | |||||||
| P12 | 1 | 0.116 2 | |||||||
| λmax = 1.00 0, CR = 0.000 0 < 0.100 0 | |||||||||
| C4–Pi | |||||||||
| C4 | P13 | 权重Wi | |||||||
| P13 | 1 | 0.184 8 | |||||||
| λmax = 1.00 0, CR = 0.000 0 < 0.100 0 | |||||||||
Table 4
Probability grading of the weighted relational degree for walnut early-fruiting traits (3-level)"
| 项目 Items | 分级级次 Grading level | ||
| Ⅰ级 Grade Ⅰ | Ⅱ级 Grade Ⅱ | Ⅲ级 Grade Ⅲ | |
| 分点值 Dividing point value (%) | 71.41 | 77.21 | |
| 区间值Interval value (%) | ≤ 60.49 | 60.49~67.19 | ≥ 67.19 |
| 出现概率(实际/理论) Occurrence probability (reality/theory) (%) | 38.46/30.00 | 16.66/40.00 | 44.87/30.00 |
Table 5
Judgment matrix and its consistency check after adjusting the weight of fruit index"
| A–Ci | |||||||||
| A | C1 | C2 | C3 | C4 | 权重Wi | ||||
| C1 | 1 | 1/7 | 1 | 4 | 0.131 5 | ||||
| C2 | 2 | 1 | 7 | 9 | 0.693 3 | ||||
| C3 | 1 | 1/7 | 1 | 4 | 0.131 5 | ||||
| C4 | 1/4 | 1/9 | 1/4 | 1 | 0.043 7 | ||||
| λmax = 4.163 7, CR = 0.061 3 < 0.100 0 | |||||||||
| C1–Pi | |||||||||
| C1 | P1 | P2 | P3 | 权重Wi | |||||
| P1 | 1 | 4 | 5 | 0.089 9 | |||||
| P2 | 1/4 | 1 | 2 | 0.026 3 | |||||
| P3 | 1/5 | 1/2 | 1 | 0.015 4 | |||||
| λmax = 3.024 6, CR = 0.023 6 < 0.100 0 | |||||||||
| C2–Pi | |||||||||
| C2 | P4 | P5 | P6 | P7 | P8 | P9 | P10 | P11 | 权重Wi |
| P4 | 1 | 1 | 1/2 | 1/3 | 1/2 | 2 | 2 | 1 | 0.066 4 |
| P5 | 1 | 1 | 1/2 | 1/3 | 1 | 2 | 2 | 2 | 0.079 0 |
| P6 | 2 | 2 | 1 | 1/2 | 1 | 3 | 3 | 2 | 0.119 2 |
| P7 | 3 | 3 | 2 | 1 | 2 | 3 | 4 | 3 | 0.186 6 |
| P8 | 2 | 1 | 1 | 1/2 | 1 | 2 | 3 | 2 | 0.103 9 |
| P9 | 1/2 | 1/2 | 1/3 | 1/3 | 1/2 | 1 | 1 | 1 | 0.044 6 |
| P10 | 1/2 | 1/2 | 1/3 | 1/4 | 1/3 | 1 | 1 | 1/2 | 0.037 5 |
| P11 | 1 | 1/2 | 1/2 | 1/3 | 1/2 | 1 | 2 | 1 | 0.055 8 |
| λmax = 8.134 6, CR = 0.013 6 < 0.100 0 | |||||||||
| C3–Pi | |||||||||
| C3 | P12 | 权重Wi | |||||||
| P12 | 1 | 0.043 6 | |||||||
| λmax = 1.00 0, CR = 0.000 0 < 0.100 0 | |||||||||
| C4–Pi | |||||||||
| C4 | P13 | 权重Wi | |||||||
| P13 | 1 | 0.131 6 | |||||||
| λmax = 1.00 0, CR = 0.000 0 < 0.100 0 | |||||||||
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